edificacion 5 niveles antisismica

PROYECTO VIVIENDA MULTIFAMILIAR - 5 PISOS + AZOTEA

ANALISIS SISMICO ESTATICO Y DINAMICO

DATOS GEOMETRICOS PESOS UNITARIOS

Largo 20.00 m Vivienda S/C 200 Kg/m²Ancho 10.00 m Losa Maciza 360 Kg/m²N° Porticos X-X 6 Peso muerto 100 Kg/m²N° Porticos Y-Y 4 Ancho de Tabiqueria 0.10 mN° Pisos 5 Pes de TabiqueriaAltura de entrepiso 2.40 m Peso de Tabiqueria Equivalente

Peso Especifico de muro de albañileria 1350Peso Especifico del Concreto Armado 2400Peso Especifico del Concreto Simple 2300

Resistencia a la compresion del concreto 210 Kg/cm²

1.01 PREDIMENSIONAMIENTO DE VIGAS, PARA LOSAS REFORZADAS EN DOS DIRECCIONES

b = A/20 hA = A/α hB = B/β

donde:b = ancho de vigah = peralte de vigaA = dimension menor de losaB = dimension mayor de losa

α y β = coeficientes de tabla B-1

Coeficientes para el predimensionamiento de vigas de una relacion A/B y un valor especifico de sobrecarga.

TABLA B-1

A/B Sobrecarga kg/m2 α β250 13 13500 11 11750 10 10

1000 9 9

A/B < 0.67

250 13 12500 11 11750 10 10

1000 9 9

Analisis por paños

PAÑO 1 PAÑO 2A = 2.37 m A = 2.80 mB = 2.58 m B = 2.80 m

A/B = 0.92 A/B = 1.00S/C = 250 S/C = 250

α = 13 α = 13β = 13 β = 13b = 0.12 m b = 0.14 m

hA = 0.18 m hA = 0.22 mhB = 0.20 m hB = 0.22 m

PAÑO 3 PAÑO 4 PAÑO 5 PAÑO 6A = 2.80 m A = 2.80 m A = 4.90 m A = 2.80 mB = 4.90 m B = 6.60 m B = 6.60 m B = 4.00 m

A/B = 0.57 A/B = 0.42 A/B = 0.74 A/B = 0.70S/C = 250 S/C = 250 S/C = 250 S/C = 250

α = 13 α = 13 α = 13 α = 13β = 12 β = 13 β = 13 β = 13b = 0.14 m b = 0.14 m b = 0.25 m b = 0.14 m

hA = 0.22 m hA = 0.22 m hA = 0.38 m hA = 0.22 mhB = 0.41 m hB = 0.51 m hB = 0.51 m hB = 0.31 m

PAÑO 7 PAÑO 8 PAÑO 9A = 4.90 m A = 2.80 m A = 3.20 mB = 4.00 m B = 3.20 m B = 4.90 m

A/B = 1.23 A/B = 0.87 A/B = 0.65S/C = 250 S/C = 250 S/C = 250 EJE X-X

α = 13 α = 13 α = 13 EJE Y-Yβ = 12 β = 13 β = 12b = 0.25 m b = 0.14 m b = 0.16 m

hA = 0.38 m hA = 0.22 m hA = 0.25 m

A/B >0.67 ó A/B = 1.0

hB = 0.33 m hB = 0.25 m hB = 0.41 m

Por ser un modelo Sismoresistente, asumimos como ancho de viga: b = 0.25 mDel predimensionamiento asumimos el peralte: Eje X-X hx-x = 0.40 m

Eje Y-Y hy-y = 0.50 m

1.02 PREDIMENSIONAMIENTO DE LOSAS REFORZADAS EN DOS DIRECCIONES

Consideracion:e = luz a ejes / 40 e = perimetro / 180

Analisis por paños

PAÑO 1 PAÑO 2 PAÑO 3 PAÑO 4L x = 280 cm L x = 280 cm L x = 490 cm L x = 280 cmL y = 237 cm L y = 280 cm L y = 280 cm L y = 340 cm

P = 1034 cm P = 1120 cm P = 1540 cm P = 1240 cme1 x = 7.00 cm e1 x = 7.00 cm e1 x = 12.25 cm e1 x = 7.00 cme2 y = 5.93 cm e2 y = 7.00 cm e2 y = 7.00 cm e2 y = 8.50 cm

e3 = 5.74 cm e3 = 6.22 cm e3 = 8.56 cm e3 = 6.89 cm

PAÑO 5 PAÑO 6 PAÑO 7 PAÑO 8L x = 490 cm L x = 280 cm L x = 250 cm L x = 280 cmL y = 660 cm L y = 400 cm L y = 400 cm L y = 320 cm

P = 2300 cm P = 1360 cm P = 1300 cm P = 1200 cme1 x = 12.25 cm e1 x = 7.00 cm e1 x = 6.25 cm e1 x = 7.00 cme2 y = 16.50 cm e2 y = 10.00 cm e2 y = 10.00 cm e2 y = 8.00 cm

e3 = 12.78 cm e3 = 7.56 cm e3 = 7.22 cm e3 = 6.67 cm

PAÑO 9 Del analisis de todos los paños, obtenemos como mayor valor: 16.50 cmL x = 490 cmL y = 320 cm Asumimos como espesor de Losa Reforzada en dos direcciones:

P = 1620 cme1 x = 12.25 cm e = 0.175 me2 y = 8.00 cm

e3 = 9.00 cm

1.03 PREDIMENSIONAMIENTO DE COLUMNAS

Ac = Pu ( C ) Ø = 0.7 TIPO VALORES DE CØ(0.85f'c+ρfy) ρ = 3 % C1 Columnas Interiores 1.3

f'c = 210 Kg/cm² C2 Columnas ext. Pisos altos 1.7fy = 4200 Kg/cm² C3 Columnas ext. Pisos bajos 1.5

C4 columnas esquinas 2.0METRADO DE CARGAS

CALCULO DE TABIQUERIA EQUIVALENTE >>> Peso Tab. Equ. = Long.Tab.*e*h*y/(area libre)

1ER NIVEL 2DO, 3ERO, 4TO Y 5TO NIVEL

Long. Tabiq. = 39.00 m Long. Tabiq. = 58.15 me = 0.10 m e = 0.10 mh = 2.60 m h = 2.60 my = 1350 Kg/m³ y = 1350 Kg/m³

Area Libre = 97.94m² Area Libre = 97.94m²

Peso T.E. = 139.775811 Peso T.E. = 208.409319

Peso T.E. = 140 Kg/m² Peso T.E. = 208 Kg/m²

Asumo incialmente, como dimensiones de columna: b x t = 0.30 m x 0.30 mb x t = 0.45 m x 0.30 mb x t = 0.25 m x 0.30 m

Pesos Unitarios a usar:

CARGAS MUERTAS PESOPESO DE LOSA MACIZA 420 Kg/m²PESO DE TAB. EQUIV. 1er Nivel 140 Kg/m²PESO DE TAB. EQUIV. 2do,3ero y 4to Nivel 208 Kg/m²PESO DE PISOS Y ACABADOS 100 Kg/m²PESO DE VIGAS 2400 Kg/m³PESO DE COLUMNAS 2400 Kg/m³

ANALISIS PRIMER PISO

COLUMNAS INTERIORES

COLUMNA : C1 EJES : B-3 AREA TRIBUTARIA 3.85 x 4.70 = 18.095 m²

ELEMENTOS P . UNIT Largo Ancho Alto Area / Vol P. PARCIALPESO DE LOSA MACIZA 420 Kg/m² 16.11 6765.15PESO DE TABIQUERIA EQUIVALENTE 140 Kg/m² 16.11 2251.44PESO PISOS Y ACABADOS 100 Kg/m² 16.11 1610.75PESO DE VIGA EJE X-X 2400 Kg/m³ 3.55 0.25 0.40 0.36 852.00PESO DE VIGA EJE Y-Y 2400 Kg/m³ 4.40 0.25 0.50 0.55 1320.00PESO DE COLUMNAS 2400 Kg/m³ 0.30 0.30 2.40 0.22 518.40

TOTAL = 13317.74 kg



TOTAL = 15170.80



TOTAL = 10622.97

COLUMNAS EXTERIORES PISOS BAJOS

COLUMNA : C3 EJES : A-3 AREA TRIBUTARIA 1.55 x 4.70 = 7.285 m²

ELEMENTOS P . UNIT Largo Ancho Alto Area / Vol P. PARCIALPESO DE LOSA MACIZA 420 Kg/m² 5.87 2466.45PESO DE TABIQUERIA EQUIVALENTE 140 Kg/m² 5.87 820.83PESO PISOS Y ACABADOS 100 Kg/m² 5.87 587.25

PESO DE VIGA EJE X-X 2400 Kg/m³ 1.25 0.25 0.40 0.13 300.00PESO DE VIGA EJE Y-Y 2400 Kg/m³ 4.40 0.25 0.50 0.55 1320.00PESO DE COLUMNAS 2400 Kg/m³ 0.30 0.30 2.40 0.22 518.40

TOTAL = 6012.93



TOTAL = 6707.56



TOTAL = 4739.45



TOTAL = 5425.92



TOTAL = 7312.22



TOTAL = 10458.02



TOTAL = 9347.74

COLUMNAS EN ESQUINA



TOTAL = 2183.63

COLUMNA : C4 EJES : C-1 AREA TRIBUTARIA 1.40 x 1.30 = 1.820 m²


TOTAL = 1936.81



TOTAL = 2366.15



TOTAL = 4982.66


ELEMENTOS P . UNIT Largo Ancho Alto Area / Vol P. PARCIALPESO DE LOSA MACIZA 420 Kg/m² 4.12 1728.72PESO DE TABIQUERIA EQUIVALENTE 140 Kg/m² 4.12 575.32

PESO PISOS Y ACABADOS 100 Kg/m² 4.12 411.60PESO DE VIGA EJE X-X 2400 Kg/m³ 2.12 0.25 0.40 0.21 508.80PESO DE VIGA EJE Y-Y 2400 Kg/m³ 2.30 0.25 0.50 0.29 690.00PESO DE COLUMNAS 2400 Kg/m³ 0.30 0.30 2.40 0.22 518.40

TOTAL = 4432.84

COLUMNA : C4 EJES : D-2 AREA TRIBUTARIA 1.32 x 1.55 = 2.046 m²


TOTAL = 2113.68



TOTAL = 2597.69



TOTAL = 3888.84

ANALISIS 2do PISO (TIPICO)

COLUMNAS INTERIORES



TOTAL = 14423.25



TOTAL = 16427.13



TOTAL = 11459.27

COLUMNAS EXTERIORES PISOS ALTOS



TOTAL = 6415.98



TOTAL = 7164.14



TOTAL = 5044.36



TOTAL = 5802.55



TOTAL = 7858.54



TOTAL = 11278.53



TOTAL = 10071.48

COLUMNAS EN ESQUINA



TOTAL = 2377.38



TOTAL = 2025.69



TOTAL = 2488.15



TOTAL = 5315.36



TOTAL = 4715.33



TOTAL = 2215.15



TOTAL = 2737.53



TOTAL = 4136.78

CUADRO DE CARGAS MAXIMAS

CARGA ULTIMA PRIMER PISO

TIPO A. TRIB PM PVC1 20.405m² 15170.80 4081.00C2 0.000m² 0.00 0.00C3 13.780m² 10458.02 2756.00C4 6.023m² 4982.66 1204.50

CARGA ULTIMA PISO 2,3 Y 4


CARGA ULTIMA - ULTIMO PISO


APLICAMOS LA SIGUIENTE FORMULA PARA DETERMINAR EL AREA DE COLUMNA

Ac = Pu ( C ) Ø = 0.7 TIPO VALORES DE CØ(0.85f'c+ρfy) ρ = 2% C1 Columnas Interiores 1.3

f'c = 210 Kg/cm² C2 Columnas ext. Pisos altos 1.7

fy = 4200 Kg/cm² C3 Columnas ext. Pisos bajos 1.5C4 columnas esquinas 2.0

NIVEL TIPO PM.acum PV.acum PU Ac LADO5

C1

11834.60 2040.50 20037.290 124.664 11.1654 28261.73 6121.50 49972.976 310.911 17.6333 44688.87 10202.50 79908.661 497.158 22.2972 61116.00 14283.50 109844.347 683.406 26.1421 76286.79 18364.50 138021.162 858.710 29.304

b x t = 0.30 x 0.30 m


C2

8268.60 1378.00 13918.640 113.241 10.6414 19547.13 4134.00 34393.787 279.825 16.7283 30825.67 6890.00 54868.934 446.409 21.1282 42104.20 9646.00 75344.080 612.993 24.7591 42104.20 9646.00 75344.080 612.993 24.759

b x t = 0.25 x 0.25 m


C3

0.00 0.00 0.000 0.000 0.0004 0.00 0.00 0.000 0.000 0.0003 0.00 0.00 0.000 0.000 0.0002 0.00 0.00 0.000 0.000 0.0001 10458.02 2756.00 19326.428 138.740 11.779

b x t = 0.15 x 0.15 m


C4

3786.70 602.25 6325.205 60.543 7.7814 9102.06 1806.75 15814.365 151.370 12.3033 14417.43 3011.25 25303.525 242.197 15.5632 19732.79 4215.75 34792.685 333.024 18.2491 24715.46 5420.25 43816.063 419.393 20.479

b x t = 0.25 x 0.25 m

LAS DIMENSIONES DE COLUMNA A USAR PARA EL DISEÑO SERA :

bxt = 0.30 x 0.30 m

Usando metodo ICG

Consideraciones para el predimensionamiento :

CARGAS MUERTAS PESO f'c = 210 Kg/cm²PESO DE LOSA MACIZA 420 Kg/m² N° pisos = 5PESO DE TAB. EQUIV. 1er Nivel 140 Kg/m²PESO DE TAB. EQUIV. 2do,3ero y 4to Nivel 208 Kg/m²PESO DE PISOS Y ACABADOS 100 Kg/m²PESO DE VIGAS 100 Kg/m²PESO DE COLUMNAS 60 Kg/m²SOBRECARGA 200 Kg/m²

W 1er Nivel 1.02 ton/m²

W 2do, 3ero, 4to y 5to Nivel 1.09 ton/m²

Tabla B-2, texto ICG

TIPO C1 columna interior P=1.10 PGpara los primeros pisos n=0.30

TIPO C1 columna interior P=1.10 PG4 ultimos pisos superiores n=0.25

TIPO C2, C3 columna externas de P=1.25PGporticos interiores n=0.25

TIPO C4 columna de esquina P=1.50PGn=0.20

C1 : COLUMNA INTERIOR

P = 1.10 PG = 22.89 tonn = 0.25

AT = 3.85 x 5.30 = 20.405 m²PG = W x AT = 20.81 ton

bD = P / n*f'c = 2179.94 cm² >>> b = 46.69bxt = 0.45 x 0.45

C2 : COLUMNA EXTERIOR DE PORTICOS INTERIORES

P = 1.10 PG = 15.46 tonn = 0.25

AT = 2.60 x 5.30 = 13.780 m²PG = W x AT = 14.05 ton

bD = P / n*f'c = 1472.17 cm² >>> b = 38.37bxt = 0.40 x 0.40

C3 : COLUMNA EXTERIOR DE PORTICOS EXTERIORES

P = 1.10 PG = 15.46 tonn = 0.25

N < 3 pisos

N > 4 pisos

AT = 2.60 x 5.30 = 13.780 m²PG = W x AT = 14.05 ton

bD = P / n*f'c = 1472.17 cm² >>> b = 38.37bxt = 0.40 x 0.40

C4 : COLUMNA DE ESQUINA

P = 1.10 PG = 7.87 tonn = 0.20

AT = 2.70 x 2.60 = 7.020 m²PG = W x AT = 7.16 ton

bD = P / n*f'c = 937.47 cm² >>> b = 30.62bxt = 0.30 x 0.30

DIMENSIONES DE LA COLUMNA : bxt = 0.45 x 0.45 m

Usamos los valores que se ha obtenido del predimensionamiento Sismico los cuales estan indicados en cada tipo de columna

2.00 METRADO DE CARGAS

Altura de EntrepisoAREA TOTAL

hs 2.00 m 97.94m²h1 2.40 mh2 2.40 mh3 2.40 mh4 2.40 mh5 1.10 m

METRADO DE CARGAS SEMISOTANO AREA DE PISO = 97.935 m²

ELEMENTOS P . UNIT Largo Ancho Alto Area / Vol N° Elem. P.PARCIALPESO DE LOSA MACIZA (e=0.175) 420 Kg/m² 97.94 1 41132.87PESO DE TABIQUERIA EQUIVALENTE 140 Kg/m² 97.94 1 13689.00PESO PISOS Y ACABADOS 100 Kg/m² 97.94 1 9793.54PESO DE VIGA EJE X-X 2400 Kg/m³ 6.65 0.25 0.40 0.67 6 9576.00PESO DE VIGA EJE Y-Y 2400 Kg/m³ 17.30 0.25 0.50 2.16 3 15570.00PESO DE COLUMNAS (h=2.00m) 2400 Kg/m³ 0.45 0.45 2.00 0.41 18 17496.00

107257.41TOTAL ƩPm = 107.26 ton

SOBRECARGA 200 Kg/m² 97.94 0.5 9793.54TOTAL ƩPv = 9.79 ton

Ʃpeso 1° Semisot. = 117.05 ton

METRADO DE CARGAS 1ER PISO AREA DE PISO = 97.935 m²

ELEMENTOS P . UNIT Largo Ancho Alto Area / Vol N° Elem. P.PARCIALPESO DE LOSA MACIZA (e=0.175) 420 Kg/m² 97.94 1 41132.87PESO DE TABIQUERIA EQUIVALENTE 140 Kg/m² 97.94 1 13689.00PESO PISOS Y ACABADOS 100 Kg/m² 97.94 1 9793.54PESO DE VIGA EJE X-X 2400 Kg/m³ 6.65 0.25 0.40 0.67 6 9576.00PESO DE VIGA EJE Y-Y 2400 Kg/m³ 17.30 0.25 0.50 2.16 3 15570.00PESO DE COLUMNAS 2400 Kg/m³ 0.45 0.45 2.40 0.49 18 20995.20

110756.61TOTAL ƩPm = 110.76 ton


Ʃpeso 1° Piso = 126.77 ton

METRADO DE CARGAS 2DO, 3ERO Y 4TO PISO AREA DE PISO = 97.935 m²


117478.26TOTAL ƩPm = 117.48 ton


ƩPeso 2,3 y 4 Piso= 133.49 ton

METRADO DE CARGAS 5TO PISO AREA DE PISO = 97.935 m²


106105.86TOTAL ƩPm = 106.11 ton


Ʃpeso 5to Piso = 117.22 ton

ELEMENTO P . UNIT Largo Ancho Alto Area / Vol N° Elem. P.PARCIALPESO DE ESCALERA-GRADERIAS 823 Kg/m² 2.20 2.40 5.28 1 4343.75-DESCANSO 520 Kg/m² 1.50 2.40 3.60 1 1872.00

6215.75TOTAL ƩPm =

PESO TOTAL DE LA EDIFICACION 761.50 ton 6.2157504

PESO POR M2 1.56 ton/m²

3.01 DETERMINACION DE LA FUERZA CORTANTE BASAL

3.01.01 PARAMETROS SISMORESISTENTES

Ubicación: ChiclayoSuelo: ArcillosoUso: ViviendaSist. Estruct: Aporticado

Los parametros seran obtenidos de la NORMA E-030 SISMORRESISTENTE

a. FACTOR DE ZONA: Z

Chiclayo pertenece a la zona 3 de sismicidad alta:

>>> Z = 0.4

b. FACTOR DE SUELO: S

>>> S = 1.4

Tp = 0.9

c. FACTOR DE USO: U

>>> U = 1

d. FACTOR DE REDUCCION DE FUERZA SISMICA: R

>>> R = 8

e. PERIODO DE VIBRACION DE LA ESTRUCTURA: T

>>> hn :

hn = 13.60 m

>>> CT = 35

T = 0.39 seg

f. FACTOR DE AMPLIFICACION DINAMICA: C

>>> C = 5.79 > 2.5 → Asumo: C = 2.5

3.01.02 FUERZA CORTANTE BASALZ = 0.4U = 1S = 1.4C = 2.5R = 8ƩP = 761.50 ton

V = 133.26 ton

3.02 DETERMINACION DE LA FUERZA CORTANTE BASAL EN ALTURA

→ T = 0.39 < 0.7 → Fa = 0

NIVEL h W Wihi Wihi/ƩWihi Fi Qi5 13.60 117.22 1594.17 0.27 36.55 36.554 11.20 133.49 1495.06 0.26 34.28 70.833 8.80 133.49 1174.69 0.20 26.93 97.762 6.40 133.49 854.32 0.15 19.59 117.341 4.00 126.77 507.06 0.09 11.63 128.97S 1.60 117.05 187.28 0.03 4.29 133.26

Ʃwihi 5812.59 1.00

Q5 = 36.55 ton

Q4 = 70.83 ton

Q3 = 97.76 ton

Q2 = 117.34 ton

Q1 = 128.97 ton

QS = 133.26 ton

Altura de edificacion medida desde N.T.N: + 0.00

2.5 2.5pTCT

n

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C

PR

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: 0.7 0

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P hF V F

P h

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4.00 DETERMINACION DE RIGIDEZ LATERALES

4.01 INERCIA EN VIGAS Y COLUMNAS

VIGAS X-X 25 x 40 cm >>> INERCIA EN VIGAS X-X : 133333.33 cm4VIGAS Y-Y 25 x 50 cm >>> INERCIA EN VIGAS Y-Y : 260416.67 cm4COL INT. 45 x 45 cm >>> INERCIA EN COL INT : 341718.75 cm4COL EXT 40 x 40 cm >>> INERCIA EN COL EXT : 213333.33 cm4

4.02 RIGIDEZ DE VIGAS Y COLUMNAS

PORTICO A Y D Columnas exteriores y vigas Y-Y

LONG. DE VIGAS RIGIDEZ "Kv" CANT Ʃ KvEJE 2-3 2.80 m 930.06 cm3 1 930.06 cm3EJE 3-4 6.60 m 394.57 cm3 1 394.57 cm3EJE 4-5 4.00 m 651.04 cm3 1 651.04 cm3EJE 5-6 3.20 m 813.80 cm3 1 813.80 cm3

Ʃ Kv 2789.47 cm3 >> Ʃ Kts,1,2,3,4,5

ALT. DE COLUMNAS RIGIDEZ "Kv" CANT Ʃ KcSEMISOT 3.80 m 561.40 cm3 5 2807.02 cm3 >> Ʃ Kcs

1 AL 5 NIVEL 2.40 m 888.89 cm3 5 4444.44 cm3 >> Ʃ Kc1,2,3,4,5

PORTICO B Columnas exteriores, columnas interiores y vigas Y-Y

LONG. DE VIGAS RIGIDEZ "Kv" CANT Ʃ KvEJE 1-2 2.37 m 1098.80 cm3 1 1098.80 cm3EJE 2-3 2.80 m 930.06 cm3 1 930.06 cm3EJE 3-4 6.60 m 394.57 cm3 1 394.57 cm3EJE 4-5 4.00 m 651.04 cm3 1 651.04 cm3EJE 5-6 3.20 m 813.80 cm3 1 813.80 cm3

Ʃ Kv 3888.28 cm3 >> Ʃ Kts,1,2,3,4,

ALT. DE COLUMNAS RIGIDEZ "Kv" CANT Ʃ KcSEMISOT 3.80 m 561.40 cm3 3 1684.21 cm3

3.80 m 899.26 cm3 3 2697.78 cm3Ʃ Kc 4381.99 cm3 >> Ʃ Kcs

1 AL 5 NIVEL 2.40 m 888.89 cm3 3 2666.67 cm32.40 m 1423.83 cm3 3 4271.48 cm3

Ʃ Kc 6938.15 cm3 >> Ʃ Kc1,2,3,4,5

PORTICO C Columnas exteriores y vigas Y-Y

LONG. DE VIGAS RIGIDEZ "Kv" CANT Ʃ KvEJE 1-2 2.37 m 1098.80 cm3 1 1098.80 cm3

Ʃ Kv 1098.80 cm3 >> Ʃ Kts,1,2,3,4,



PORTICO 1 Columnas exteriores y vigas X-X

LONG. DE VIGAS RIGIDEZ "Kv" CANT Ʃ KvEJE A-B 2.58 m 516.80 cm3 1 516.80 cm3

Ʃ Kv 516.80 cm3 >> Ʃ Kts,1,2,3,4,




LONG. DE VIGAS RIGIDEZ "Kv" CANT Ʃ KvEJE A-B 2.80 m 930.06 cm3 1 930.06 cm3EJE B-C 2.58 m 1009.37 cm3 1 1009.37 cm3EJE C-D 2.32 m 1122.49 cm3 1 1122.49 cm3

Ʃ Kv 3061.91 cm3 >> Ʃ Kts,1,2,3,4,



PORTICO 3,4 Y 5 Columnas exteriores, columnas interiores y vigas X-X

LONG. DE VIGAS RIGIDEZ "Kv" CANT Ʃ KvEJE A-B 2.80 m 930.06 cm3 1 930.06 cm3EJE B-D 4.90 m 531.46 cm3 1 531.46 cm3

Ʃ Kv 1461.52 cm3 >> Ʃ Kts,1,2,3,4,

ALT. DE COLUMNAS RIGIDEZ "Kv" CANT Ʃ KcSEMISOT 3.80 m 561.40 cm3 2 1122.81 cm3

3.80 m 899.26 cm3 1 899.26 cm3Ʃ Kc 2022.07 cm3 >> Ʃ Kcs

1 AL 5 NIVEL 2.40 m 888.89 cm3 2 1777.78 cm32.40 m 1423.83 cm3 1 1423.83 cm3

Ʃ Kc 3201.61 cm3 >> Ʃ Kc1,2,3,4,5


LONG. DE VIGAS RIGIDEZ "Kv" CANT Ʃ KtEJE A-B 2.80 m 930.06 cm3 1 930.06 cm3EJE B-D 4.90 m 531.46 cm3 1 531.46 cm3

Ʃ Kt 1461.52 cm3 >> Ʃ Kts,1,2,3,4,



4.03 RIGIDEZ LATERAL-APLICACIÓN DE LA FORMULA DE WILBUR

Para el calculo debemos tener en cuenta los siguientes valores

f'c = 210 Kg/cm² >>> E = 217370.65

PORTICO A Y D

RIGIDEZ LATERAL PARA EL SEMISOTANO

hs = 380 cmh1 = 240 cm

Ʃ kcs = 2807.02 cm3Ʃ kt s,1 = 2789.47 cm3

Rs = 36.78 ton/cm

RIGIDEZ LATERAL PARA EL 1er Entrepiso

hs = 380 cmh1 = 240 cmh2 = 240 cm

Ʃ kcs = 2807.02 cm3Ʃ kc1 = 4444.44 cm3

Ʃ kt s,1 = 2789.47 cm3R1 = 73.29 ton/cm

RIGIDEZ LATERAL PARA EL 2do Nivel

h1 = 240 cmh2 = 240 cmh3 = 240 cm

Ʃ kc2 = 4444.44 cm3R2= 77.61 ton/cm Ʃ kt 1,2 = 2789.47 cm3

RIGIDEZ LATERAL PARA EL 3er Nivel

h2 = 240 cmh3 = 240 cmh4 = 240 cm


RIGIDEZ LATERAL PARA EL 4to Nivel

h3 = 240 cmh4 = 240 cmh5 = 240 cm

Ʃ kc4 = 4444.44 cm3

R4= 77.61 ton/cm Ʃ kt 3,4 = 2789.47 cm3


h4 = 240 cmh5 = 240 cm

Ʃ kc5 = 4444.44 cm3Ʃ kt 4,5 = 2789.47 cm3

R5= 77.61 ton/cm

PORTICO B


hs = 380 cmh1 = 240 cm

Ʃ kcs = 4381.99 cm3Ʃ kt s,1 = 3888.28 cm3

Rs = 55.74 ton/cm


hs = 380 cmh1 = 240 cmh2 = 240 cm

Ʃ kcs = 4381.99 cm3Ʃ kc1 = 6938.15 cm3

Ʃ kt s,1 = 3888.28 cm3R1 = 106.66 ton/cm


h1 = 240 cmh2 = 240 cmh3 = 240 cm



h2 = 240 cmh3 = 240 cmh4 = 240 cm



h3 = 240 cmh4 = 240 cmh5 = 240 cm



h4 = 240 cmh5 = 240 cm

Ʃ kc5 = 6938.15 cm3Ʃ kt 4,5 = 3888.28 cm3

R5= 112.84 ton/cm

PORTICO C


hs = 380 cmh1 = 240 cm

Ʃ kcs = 1122.81 cm3Ʃ kt s,1 = 1098.80 cm3

Rs = 14.65 ton/cm


hs = 380 cmh1 = 240 cmh2 = 240 cm

Ʃ kcs = 1122.81 cm3Ʃ kc1 = 1777.78 cm3

Ʃ kt s,1 = 1098.80 cm3R1 = 29.04 ton/cm


h1 = 240 cmh2 = 240 cmh3 = 240 cm



h2 = 240 cmh3 = 240 cmh4 = 240 cm



h3 = 240 cmh4 = 240 cm

h5 = 240 cmƩ kc4 = 1777.78 cm3

R4= 30.75 ton/cm Ʃ kt 3,4 = 1098.80 cm3


h4 = 240 cmh5 = 240 cm

Ʃ kc5 = 1777.78 cm3Ʃ kt 4,5 = 1098.80 cm3

R5= 30.75 ton/cm

PORTICO 1


hs = 380 cmh1 = 240 cm

Ʃ kcs = 1122.81 cm3Ʃ kt s,1 = 516.80 cm3

Rs = 11.59 ton/cm


hs = 380 cmh1 = 240 cmh2 = 240 cm

Ʃ kcs = 1122.81 cm3Ʃ kc1 = 1777.78 cm3

Ʃ kt s,1 = 516.80 cm3R1 = 17.50 ton/cm


h1 = 240 cmh2 = 240 cmh3 = 240 cm



h2 = 240 cmh3 = 240 cmh4 = 240 cm



h3 = 240 cmh4 = 240 cmh5 = 240 cm



h4 = 240 cmh5 = 240 cm

Ʃ kc5 = 1777.78 cm3Ʃ kt 4,5 = 516.80 cm3

R5= 18.13 ton/cm

PORTICO 2


hs = 380 cmh1 = 240 cm

Ʃ kcs = 2245.61 cm3Ʃ kt s,1 = 3061.91 cm3

Rs = 31.64 ton/cm


hs = 380 cmh1 = 240 cmh2 = 240 cm

Ʃ kcs = 2245.61 cm3Ʃ kc1 = 3555.56 cm3

Ʃ kt s,1 = 3061.91 cm3R1 = 70.39 ton/cm


h1 = 240 cmh2 = 240 cmh3 = 240 cm



h2 = 240 cmh3 = 240 cmh4 = 240 cm



h3 = 240 cmh4 = 240 cmh5 = 240 cm



h4 = 240 cmh5 = 240 cm

Ʃ kc5 = 3555.56 cm3Ʃ kt 4,5 = 3061.91 cm3

R5= 74.50 ton/cm

PORTICO 3, 4 y 5


hs = 380 cmh1 = 240 cm

Ʃ kcs = 2022.07 cm3Ʃ kt s,1 = 1461.52 cm3

Rs = 24.25 ton/cm


hs = 380 cmh1 = 240 cmh2 = 240 cm

Ʃ kcs = 2022.07 cm3Ʃ kc1 = 3201.61 cm3

Ʃ kt s,1 = 1461.52 cm3R1 = 43.10 ton/cm


h1 = 240 cmh2 = 240 cmh3 = 240 cm



h2 = 240 cmh3 = 240 cmh4 = 240 cm



h3 = 240 cmh4 = 240 cmh5 = 240 cm



h4 = 240 cmh5 = 240 cm

Ʃ kc5 = 3201.61 cm3Ʃ kt 4,5 = 1461.52 cm3

R5= 45.44 ton/cm

PORTICO 6


hs = 380 cmh1 = 240 cm

Ʃ kcs = 1684.21 cm3Ʃ kt s,1 = 1461.52 cm3

Rs = 21.29 ton/cm


hs = 380 cmh1 = 240 cmh2 = 240 cm

Ʃ kcs = 1684.21 cm3Ʃ kc1 = 2666.67 cm3

Ʃ kt s,1 = 1461.52 cm3R1 = 40.42 ton/cm


h1 = 240 cmh2 = 240 cmh3 = 240 cm

Ʃ kc2 = 2666.67 cm3

R2= 42.75 ton/cm Ʃ kt 1,2 = 1461.52 cm3


h2 = 240 cmh3 = 240 cmh4 = 240 cm



h3 = 240 cmh4 = 240 cmh5 = 240 cm



h4 = 240 cmh5 = 240 cm

Ʃ kc5 = 2666.67 cm3Ʃ kt 4,5 = 1461.52 cm3

R5= 42.75 ton/cm

5.00 DETERMINACION DEL PERIODO DE RAYLEIGH

5.01 ANALISIS EN X-X

5.01.01 DETERMINACION DE DESPLAZAMIENTOS LATERALESFactor de Reduc: R= 8

NIVEL RIGIDECES LATERALES h Qi Desplaz. Teorico Desplaz. Real NORMA-0301 2 3 4 5 6 ƩR (ton/cm) Relativo Total Relativo Total < 0.007

5 18.13 74.50 45.44 45.44 45.44 42.75 271.71 13.60 36.55 0.13 2.66 0.81 15.95 0.0034 OK4 18.13 74.50 45.44 45.44 45.44 42.75 271.71 11.20 70.83 0.26 2.52 1.56 15.14 0.0065 OK3 18.13 74.50 45.44 45.44 45.44 42.75 271.71 8.80 97.76 0.36 2.26 2.16 13.58 0.0090 NO CUMPLE2 18.13 74.50 45.44 45.44 45.44 42.75 271.71 6.40 117.34 0.43 1.90 2.59 11.42 0.0108 NO CUMPLE1 17.50 70.39 43.10 43.10 43.10 40.42 257.62 4.00 128.97 0.50 1.47 3.00 8.83 0.0125 NO CUMPLES 11.59 31.64 24.25 24.25 24.25 21.29 137.29 3.80 133.26 0.97 0.97 5.82 5.82 0.0153 NO CUMPLE

5.01.02 PERIODO DE RAYLEIGH

NIVEL Wi Fi D.R.R. WixDi^2 FixDi5 117.22 36.55 0.81 76.35 29.504 133.49 34.28 1.56 326.51 53.613 133.49 26.93 2.16 622.03 58.142 133.49 19.59 2.59 896.27 50.751 126.77 11.63 3.00 1143.70 34.92S 117.05 4.29 5.82 3970.43 25.01

Ʃ = 7035.29 251.92 ⟹ ⟹ T = 1.060 > 0.7 ⟹ Fa = 8.396 < 16.970

C = 2.122 < 2.5 ⟹ C = 2.122

5.01.03 RECALCULO DE LA FUERZA CORTANTE BASAL 5.01.04 FUERZA CORTANTE BASAL EN ALTURA

Z = 0.4 NIVEL h W Wihi Wihi/ƩWihi Fi QiU = 1 5 13.60 117.22 1594.17 0.27 37.12 37.12S = 1.4 4 11.20 133.49 1495.06 0.26 26.94 64.06C = 2.122 3 8.80 133.49 1174.69 0.20 21.17 85.23R = 8 2 6.40 133.49 854.32 0.15 15.39 100.62ƩP = 761.498 1 4.00 126.77 507.06 0.09 9.14 109.76

S 1.60 117.05 187.28 0.03 3.37 113.13

V = 113.13 ton Ʃwihi 5812.59 1.00

Distorsion de piso

PR

ZUSCV

5.01.05 RECALCULO DE LOS DESPLAZAMIENTOS LATERALESFactor de Reduc: R= 8

NIVEL RIGIDECES LATERALES h Qi Desplaz. Teorico Desplaz. Real NORMA-0301 2 3 4 5 6 ƩR (ton/cm) Relativo Total Relativo Total < 0.007

5 18.13 74.50 45.44 45.44 45.44 42.75 271.71 13.60 37.12 0.14 2.31 0.82 13.84 0.0034 OK4 18.13 74.50 45.44 45.44 45.44 42.75 271.71 11.20 64.06 0.24 2.17 1.41 13.02 0.0059 OK3 18.13 74.50 45.44 45.44 45.44 42.75 271.71 8.80 85.23 0.31 1.93 1.88 11.60 0.0078 NO CUMPLE2 18.13 74.50 45.44 45.44 45.44 42.75 271.71 6.40 100.62 0.37 1.62 2.22 9.72 0.0093 NO CUMPLE1 17.50 70.39 43.10 43.10 43.10 40.42 257.62 4.00 109.76 0.43 1.25 2.56 7.50 0.0107 NO CUMPLES 11.59 31.64 24.25 24.25 24.25 21.29 137.29 3.80 113.13 0.82 0.82 4.94 4.94 0.0130 NO CUMPLE


NIVEL Wi Fi D.R.R. WixDi^2 FixDi5 117.22 37.12 0.82 78.76 30.434 133.49 26.94 1.41 267.12 38.113 133.49 21.17 1.88 472.81 39.842 133.49 15.39 2.22 659.04 34.211 126.77 9.14 2.56 828.38 23.36 C = 2.108 < 2.5 ⟹ C = 2.108S 117.05 3.37 4.94 2861.61 16.69

Ʃ = 5167.72 182.62 ⟹ ⟹ T = 1.067 > 0.7

37.12 Q5 = 37.12

26.94 Q4 = 64.06

21.17 Q3 = 85.23

15.39 Q2 = 100.62

9.14 Q1 = 109.76

3.37 Qs = 113.13

Distorsion de piso

5.02 ANALISIS EN Y-Y

5.02.01 DETERMINACION DE DESPLAZAMIENTOS LATERALESFactor de Reduc: R= 8

NIVEL RIGIDECES LATERALES h Qi Desplaz. Teorico Desplaz. Real NORMA-030A B C D ƩR (ton/cm) Relativo Total Relativo Total < 0.007

5 77.61 112.84 30.75 77.61 298.82 13.60 36.55 0.12 2.46 0.73 14.77 0.0031 OK4 77.61 112.84 30.75 77.61 298.82 11.20 70.83 0.24 2.34 1.42 14.04 0.0059 OK3 77.61 112.84 30.75 77.61 298.82 8.80 97.76 0.33 2.10 1.96 12.61 0.0082 NO CUMPLE2 77.61 112.84 30.75 77.61 298.82 6.40 117.34 0.39 1.78 2.36 10.65 0.0098 NO CUMPLE1 73.29 106.66 29.04 73.29 282.30 4.00 128.97 0.46 1.38 2.74 8.30 0.0114 NO CUMPLES 36.78 55.74 14.65 36.78 143.95 3.80 133.26 0.93 0.93 5.55 5.55 0.0146 NO CUMPLE


NIVEL Wi Fi D.R.R. WixDi^2 FixDi5 117.22 36.55 0.73 63.13 26.824 133.49 34.28 1.42 269.96 48.743 133.49 26.93 1.96 514.30 52.862 133.49 19.59 2.36 741.04 46.151 126.77 11.63 2.74 952.48 31.87S 117.05 4.29 5.55 3611.56 23.85

Ʃ = 6152.48 230.29 ⟹ ⟹ T = 1.037 > 0.7 ⟹ Fa = 8.396 < 17.350

C = 2.170 < 2.5 ⟹ C = 2.170

5.02.03 RECALCULO DE LA FUERZA CORTANTE BASAL 5.02.04 FUERZA CORTANTE BASAL EN ALTURA

Z = 0.4 NIVEL h W Wihi Wihi/ƩWihi Fi QiU = 1 5 13.60 117.22 1594.17 0.27 37.82 37.82S = 1.4 4 11.20 133.49 1495.06 0.26 27.59 65.41C = 2.170 3 8.80 133.49 1174.69 0.20 21.68 87.09R = 8 2 6.40 133.49 854.32 0.15 15.77 102.86ƩP = 761.498 1 4.00 126.77 507.06 0.09 9.36 112.21

S 1.60 117.05 187.28 0.03 3.46 115.67

V = 115.67 ton Ʃwihi 5812.59 1.00

Distorsion de piso

PR

ZUSCV

5.02.05 RECALCULO DE LOS DESPLAZAMIENTOS LATERALESFactor de Reduc: R= 8

NIVEL RIGIDECES LATERALES h Qi Desplaz. Teorico Desplaz. Real NORMA-030A B C D ƩR (ton/cm) Relativo Total Relativo Total < 0.007

5 77.61 112.84 30.75 77.61 298.82 13.60 37.82 0.13 2.18 0.76 13.09 0.0032 OK4 77.61 112.84 30.75 77.61 298.82 11.20 65.41 0.22 2.06 1.31 12.33 0.0055 OK3 77.61 112.84 30.75 77.61 298.82 8.80 87.09 0.29 1.84 1.75 11.02 0.0073 NO CUMPLE2 77.61 112.84 30.75 77.61 298.82 6.40 102.86 0.34 1.55 2.07 9.27 0.0086 NO CUMPLE1 73.29 106.66 29.04 73.29 282.30 4.00 112.21 0.40 1.20 2.38 7.21 0.0099 NO CUMPLES 36.78 55.74 14.65 36.78 143.95 3.80 115.67 0.80 0.80 4.82 4.82 0.0127 NO CUMPLE


NIVEL Wi Fi D.R.R. WixDi^2 FixDi5 117.22 37.82 0.76 67.59 28.724 133.49 27.59 1.31 230.25 36.243 133.49 21.68 1.75 408.18 37.912 133.49 15.77 2.07 569.35 32.561 126.77 9.36 2.38 721.07 22.32 C = 2.157 < 2.5 ⟹ C = 2.157S 117.05 3.46 4.82 2720.96 16.66

Ʃ = 4717.40 174.41 ⟹ ⟹ T = 1.043 > 0.7

37.82 Q5 = 37.82

27.59 Q4 = 65.41

21.68 Q3 = 87.09

15.77 Q2 = 102.86

9.36 Q1 = 112.21

3.46 Qs = 115.67

Distorsion de piso

6.00 TORSION EN PLANTA

6.01 DETERMINACION DE CENTRO DE MASAS

AREA X AX Y AY154.000 4.000 616.000 9.625 1482.250-5.875 1.250 -7.344 18.075 -106.191-5.875 6.825 -40.097 18.075 -106.191-4.275 1.276 -5.455 9.173 -39.215-4.275 6.724 -28.745 9.173 -39.215-8.510 4.050 -34.466 5.350 -45.528

Ʃ 125.190 499.894 1145.911

Xm = 3.993 Ym = 9.153

6.02 DETERMINACION DE CENTRO DE RIGIDECES

SEMISOTANO

PORT. RIGIDEZ X RX PORT. RIGIDEZ Y RYA 36.778 1 11.588 18.975 219.875B 55.735 2.800 156.059 2 31.644 16.600 525.287C 14.654 5.380 78.838 3 24.254 13.800 334.707D 36.778 7.700 283.191 4 24.254 7.200 174.630Ʃ 143.945 Ʃ 518.088 5 24.254 3.200 77.613

6 21.292XRs = 3.599 Ʃ 137.286 Ʃ 1332.113YRs = 9.703

1ER NIVEL


6 40.423XR1 = 3.611 Ʃ 257.620 Ʃ 2543.608YR1 = 9.873

2DO, 3ERO, 4TO Y 5TO NIVEL


6 42.754XR 2,3,4,5 = 3.611 Ʃ 271.714 Ʃ 2680.487YR 2,3,4,5 = 9.865

6.03 DETERMINACION DE EXCENTRICIDADES

a. Excentricidad Accidental

X = 7.700 m Y = 18.975 m

e x = ± 5% = 0.385 me y = ± 5% = 0.949 m

b. Excentricidad Estructural Xr - Xm

Centro de MasaXm = 3.993 mYm = 9.153 m

Centro de RigidezSemisotano 1er Nivel 2do, 3er, 4to y 5to Nivel

Xr = 3.599 m Xr = 3.611 m Xr = 3.611 mYr = 9.703 m Yr = 9.873 m Yr = 9.865 m

Semisotano 1er Nivel 2do, 3er, 4to y 5to Nivel

e strx = 0.550 m e strx = 0.720 m e strx = 0.712 me stry = -0.394 m e stry = -0.382 m e stry = -0.382 m

c. Excentricidad e = ± e acc + e str

Semisotano 1er Nivel 2do, 3er, 4to y 5to Nivel

e'x = 0.935 m e'x = 1.105 m e'x = 1.097 me''x = 0.165 m e''x = 0.335 m e''x = 0.327 m

e'y = 0.555 m e'y = 0.566 m e'y = 0.567 me''y = -1.343 m e''y = -1.331 m e''y = -1.331 m

6.04 DETERMINACION DE LOS MOMENTOS TORSIONANTES

Direccion X-X

NIVEL Vx e'y e''y M'tx M''tx5 37.12 0.567 -1.331 21.03 -49.404 26.94 0.567 -1.331 15.26 -35.853 21.17 0.567 -1.331 11.99 -28.172 15.39 0.567 -1.331 8.72 -20.491 9.14 0.566 -1.331 5.17 -12.16S 3.37 0.555 -1.343 1.87 -4.53

Direccion Y-Y

NIVEL Vy e'x e''x M'ty M''ty5 37.82 1.097 0.327 41.48 12.364 27.59 1.097 0.327 30.26 9.023 21.68 1.097 0.327 23.78 7.08

2 15.77 1.097 0.327 17.29 5.151 9.36 1.105 0.335 10.34 3.14S 3.46 0.935 0.165 3.23 0.57

6.05 DETERMINACION DE LOS CORTANTES GENERADOS POR EL MOMENTO TORSIONAL

SEMISOTANO

PORT Ry Xi Ry.Xi Ry.Xi^2 Vt'y Vt''YA 36.78 -3.60 -132.37 476.43 -0.06 -0.01B 55.74 -0.80 -44.54 35.60 -0.02 0.00C 14.65 1.78 26.10 46.47 0.01 0.00D 36.78 4.10 150.82 618.48 0.07 0.01Ʃ 143.95 Ʃ 1176.98

PORT Rx Yi Ry.Yi Ry.Yi^2 Vt'x Vt''x1 11.59 9.27 107.44 996.15 0.03 -0.072 31.64 6.90 218.24 1505.17 0.06 -0.143 24.25 4.10 99.36 407.08 0.03 -0.064 24.25 -2.50 -60.71 151.98 -0.02 0.045 24.25 -6.50 -157.73 1025.74 -0.04 0.106 21.29 -9.70 -206.60 2004.70 -0.05 0.13Ʃ 137.29 Ʃ 6090.82

1ER NIVEL

PORT Ry Xi Ry.Xi Ry.Xi^2 Vt'y Vt''YA 73.29 -3.61 -264.64 955.54 -0.20 -0.06B 106.66 -0.81 -86.47 70.10 -0.06 -0.02C 29.04 1.77 51.39 90.92 0.04 0.01D 73.29 4.09 299.72 1225.67 0.22 0.07Ʃ 282.30 Ʃ 2342.24


2DO NIVEL


PORT Rx Yi Ry.Yi Ry.Yi^2 Vt'x Vt''x1 18.13 9.11 165.18 1504.80 0.10 -0.232 74.50 6.73 501.76 3379.31 0.30 -0.713 45.44 3.93 178.81 703.59 0.11 -0.25

4 45.44 -2.67 -121.11 322.77 -0.07 0.175 45.44 -6.67 -302.88 2018.70 -0.18 0.436 42.75 -9.87 -421.77 4160.82 -0.25 0.59Ʃ 271.71 Ʃ 12089.98

3ER NIVEL



4TO NIVEL



5TO NIVEL


PORT Rx Yi Ry.Yi Ry.Yi^2 Vt'x Vt''x1 18.13 9.11 165.18 1504.80 0.24 -0.562 74.50 6.73 501.76 3379.31 0.72 -1.70

3 45.44 3.93 178.81 703.59 0.26 -0.614 45.44 -2.67 -121.11 322.77 -0.17 0.415 45.44 -6.67 -302.88 2018.70 -0.44 1.036 42.75 -9.87 -421.77 4160.82 -0.61 1.43Ʃ 271.71 Ʃ 12089.98

6.06 DETERMINACION DE LOS CORTANTES FINALES POR PISO

SEMISOTANO

PORT V trans V tors V final PORT V trans V tors V finalA 0.88 -0.06 0.88 1 0.28 -0.32 0.28B 1.34 -0.02 1.34 2 0.78 -0.97 0.78C 0.35 0.01 0.36 3 0.60 -0.35 0.60D 0.88 0.07 0.95 4 0.60 0.23 0.83

3.54 5 0.60 0.59 1.186 0.52 0.82 1.34

5.011ER NIVEL


9.62 5 1.53 0.25 1.786 1.43 0.35 1.79

9.842DO NIVEL


16.21 5 2.57 0.43 3.006 2.42 0.59 3.02

16.583ER NIVEL


22.29 5 3.54 0.59 4.136 3.33 0.82 4.15

22.804TO NIVEL


28.36 5 4.51 0.75 5.256 4.24 1.04 5.28

29.025TO NIVEL


38.88 5 6.21 1.03 7.246 5.84 1.43 7.27

39.99

6.07 CORTANTES FINALES EN EJE X-X

NIV. Fi Qi5 39.99 39.994 29.02 69.013 22.80 91.812 16.58 108.401 9.84 118.24S 5.01 123.25

6.07 CORTANTES FINALES EN EJE Y-Y

NIV. Fi Qi5 38.88 38.884 28.36 67.243 22.29 89.532 16.21 105.731 9.62 115.35S 3.54 118.89

7.00 PREDIMENSIONAMIENTO DE MUROS ESTRUCTURALES

←

Area de columnas: Area de necesaria:Seccion Area Cant A columnas Asumimos: 6 kg/cm²

Col. Ext. 40 x 40 1600 15 24000 V basal 133262.13 kgCol. Int. 45 x 45 2025 3 6075

Ʃ Acolumnas = 30075 cm² A necesaria = 37757.60 cm²

Amuros = 7682.60 cm² → 0.768 m²

Asumo: = b x l= 0.15 x 1.50 = 0.225 m²

Cantidad de muros considerados: = 4

Amuros = 0.900 m² > 0.768 m² → Es correcto

Peso de la estructura con los muros estructurales

DESCRIPCION P.UNIT H AREA N° PARCIALPESO DE LOS MUROS 2400 3.80 0.900 m² 1 8.208

2400 2.40 0.900 m² 1 5.184

NIVEL SEMISOT 1ER 2DO -4TO 5TOPESO DE LA ESTRUCT 117.05 126.77 133.49 117.22PESO DE LOS MUROS 8.21 5.18 5.18 5.18

PARCIAL 125.26 131.95 138.67 122.40 795.63

FUERZA CORTANTE BASALZ = 0.4 hn = 13.6U = 1 CT = 45S = 1.4 >>> Tp = 0.9 T = 0.302C = 2.5 C = 7.445R = 7 C adop = 2.5ƩP = 795.63 ton C/R = 0.357

V = 159.13 ton

DISTRIBUCION EN ALTURA

→ T = 0.302 < 0.7 → Fa = 0

NIVEL h W Wihi Wihi/ƩWihi Fi Qi5 13.60 122.40 1664.67 0.27 43.76 43.764 11.20 138.67 1553.12 0.26 40.82 84.583 8.80 138.67 1220.31 0.20 32.08 116.662 6.40 138.67 887.50 0.15 23.33 139.981 4.00 131.95 527.80 0.09 13.87 153.86S 1.60 125.26 200.41 0.03 5.27 159.13

Ʃwihi 6053.82 1.00

PR

ZUSCV

. ( ).

: 0.7 0

i ii a

i i

a

P hF V FP h

Si T F

RIGIDEZ LATERAL DE LOS PORTICOS - METODO MATRICIAL

PORTICO A: 4 CRUJIAS, 6 NIVELES (Semisotano+5 Niveles)

Datos para el calculo:

*Altura de Entrepiso: *Longitud de vigas: *Resistencia a la compresion del Concreto:

hs = 3.80 m L1 = 3.00 m f'c = 210 kg/cm²h1 = 2.40 m L2 = 6.58 mh2 = 2.40 m L3 = 3.95 m *Modulo de Elasticidad del Concreto:h3 = 2.40 m L4 = 3.38 mh4 = 2.40 m E = 2173706.51 tn/m²h5 = 2.40 m

*Dimension de elementos estructurales: *Inercia:

Vigas: 0.25 x 0.50 → Inercia vigas = 0.00260417 m4Col. Exteriores: 0.40 x 0.40 → Inercia col.ext.= 0.00213333 m4Col. Interiores: 0.45 x 0.45 → Inercia col.int.= 0.00341719 m4

Muro de Corte: 1.50 x 0.15 → Inercia M.C= 0.00042188 m4

K (a-1) =

*Brazos rigidos:

a = 0.75 m 1.22 m b= 0.20 m 22819.242.17 m

Matriz de Rigidez en vigas

1era Crujia 2da Crujia

1 2 3 4 3 4 5 637408.60 72697.38 -37408.60 30300.96 1 238.44 784.46 -238.44 784.46 3

K (1-3) = 72697.38 73830.86 -72697.38 58247.68 2 K (3-5) = 784.46 3441.15 -784.46 1720.58 4-37408.60 -72697.38 37408.60 -30300.96 3 -238.44 -784.46 238.44 -784.46 530300.96 58247.68 -30300.96 29183.69 4 784.46 1720.58 -784.46 3441.15 6

11 12 13 14 13 14 15 1637408.60 72697.38 -37408.60 30300.96 11 238.44 784.46 -238.44 784.46 13

K (11-13) = 72697.38 73830.86 -72697.38 58247.68 12 K (13-15) = 784.46 3441.15 -784.46 1720.58 14-37408.60 -72697.38 37408.60 -30300.96 13 -238.44 -784.46 238.44 -784.46 1530300.96 58247.68 -30300.96 29183.69 14 784.46 1720.58 -784.46 3441.15 16

21 22 23 24 23 24 25 2637408.60 72697.38 -37408.60 30300.96 21 238.44 784.46 -238.44 784.46 23

K (21-23) = 72697.38 73830.86 -72697.38 58247.68 22 K (23-25) = 784.46 3441.15 -784.46 1720.58 24-37408.60 -72697.38 37408.60 -30300.96 23 -238.44 -784.46 238.44 -784.46 2530300.96 58247.68 -30300.96 29183.69 24 784.46 1720.58 -784.46 3441.15 26

31 32 33 34 33 34 35 3637408.60 72697.38 -37408.60 30300.96 31 238.44 784.46 -238.44 784.46 33

K (31-33) = 72697.38 73830.86 -72697.38 58247.68 32 K (33-45) = 784.46 3441.15 -784.46 1720.58 34-37408.60 -72697.38 37408.60 -30300.96 33 -238.44 -784.46 238.44 -784.46 3530300.96 58247.68 -30300.96 29183.69 34 784.46 1720.58 -784.46 3441.15 36

41 42 43 44 43 44 45 4637408.60 72697.38 -37408.60 30300.96 41 238.44 784.46 -238.44 784.46 43

K (41-43) = 72697.38 73830.86 -72697.38 58247.68 42 K (43-45) = 784.46 3441.15 -784.46 1720.58 44-37408.60 -72697.38 37408.60 -30300.96 43 -238.44 -784.46 238.44 -784.46 4530300.96 58247.68 -30300.96 29183.69 44 784.46 1720.58 -784.46 3441.15 46

51 52 53 54 53 54 55 5637408.60 72697.38 -37408.60 30300.96 51 238.44 784.46 -238.44 784.46 53

K (51-53) = 72697.38 73830.86 -72697.38 58247.68 52 K (53-55) = 784.46 3441.15 -784.46 1720.58 54-37408.60 -72697.38 37408.60 -30300.96 53 -238.44 -784.46 238.44 -784.46 5530300.96 58247.68 -30300.96 29183.69 54 784.46 1720.58 -784.46 3441.15 56

3era Crujia 4ta Crujia

5 6 7 8 7 8 9 101102.20 2176.84 -1102.20 2176.84 5 1759.14 2972.95 -1759.14 2972.95 7

K (5-7) = 2176.84 5732.35 -2176.84 2866.17 6 K (7-9) = 2972.95 6699.05 -2972.95 3349.52 8-1102.20 -2176.84 1102.20 -2176.84 7 -1759.14 -2972.95 1759.14 -2972.95 92176.84 2866.17 -2176.84 5732.35 8 2972.95 3349.52 -2972.95 6699.05 10

15 16 17 18 17 18 19 201102.20 2176.84 -1102.20 2176.84 15 1759.14 2972.95 -1759.14 2972.95 17

K (15-17) = 2176.84 5732.35 -2176.84 2866.17 16 K (17-19) = 2972.95 6699.05 -2972.95 3349.52 18-1102.20 -2176.84 1102.20 -2176.84 17 -1759.14 -2972.95 1759.14 -2972.95 192176.84 2866.17 -2176.84 5732.35 18 2972.95 3349.52 -2972.95 6699.05 20

25 26 27 28 27 28 29 301102.20 2176.84 -1102.20 2176.84 25 1759.14 2972.95 -1759.14 2972.95 27

K (25-27) = 2176.84 5732.35 -2176.84 2866.17 26 K (27-29) = 2972.95 6699.05 -2972.95 3349.52 28-1102.20 -2176.84 1102.20 -2176.84 27 -1759.14 -2972.95 1759.14 -2972.95 292176.84 2866.17 -2176.84 5732.35 28 2972.95 3349.52 -2972.95 6699.05 30

35 36 37 38 37 38 39 401102.20 2176.84 -1102.20 2176.84 35 1759.14 2972.95 -1759.14 2972.95 37

K (35-37) = 2176.84 5732.35 -2176.84 2866.17 36 K (37-39) = 2972.95 6699.05 -2972.95 3349.52 38-1102.20 -2176.84 1102.20 -2176.84 37 -1759.14 -2972.95 1759.14 -2972.95 392176.84 2866.17 -2176.84 5732.35 38 2972.95 3349.52 -2972.95 6699.05 40

45 46 47 48 47 48 49 501102.20 2176.84 -1102.20 2176.84 45 1759.14 2972.95 -1759.14 2972.95 47

K (45-47) = 2176.84 5732.35 -2176.84 2866.17 46 K (47-49) = 2972.95 6699.05 -2972.95 3349.52 48-1102.20 -2176.84 1102.20 -2176.84 47 -1759.14 -2972.95 1759.14 -2972.95 492176.84 2866.17 -2176.84 5732.35 48 2972.95 3349.52 -2972.95 6699.05 50

55 56 57 58 57 58 59 601102.20 2176.84 -1102.20 2176.84 55 1759.14 2972.95 -1759.14 2972.95 57

K (55-57) = 2176.84 5732.35 -2176.84 2866.17 56 K (57-59) = 2972.95 6699.05 -2972.95 3349.52 58-1102.20 -2176.84 1102.20 -2176.84 57 -1759.14 -2972.95 1759.14 -2972.95 592176.84 2866.17 -2176.84 5732.35 58 2972.95 3349.52 -2972.95 6699.05 60

Matriz de Rigidez en columnas

Semisotano

Ф = 0.47 Ф = 0.00aH aV aM 61 1 2 bH bV bM 61 3 4

691.08 0.00 -1313.05 -691.08 0.00 -1313.05 aH 1014.12 0.00 -1926.83 -1014.12 0.00 -1926.83 bH0.00 1220.33 0.00 0.00 -1220.33 0.00 aV 0.00 1220.33 0.00 0.00 -1220.33 0.00 bV

K (a-1) = -1313.05 0.00 3326.38 -1313.05 0.00 1663.19 aM K (b-3) = -1926.83 0.00 4881.31 -1926.83 0.00 2440.65 bM-691.08 0.00 -1313.05 691.08 0.00 1313.05 61 -1014.12 0.00 -1926.83 1014.12 0.00 1926.83 61

0.00 -1220.33 0.00 0.00 1220.33 0.00 1 0.00 -1220.33 0.00 0.00 1220.33 0.00 3-1313.05 0.00 1663.19 1313.05 0.00 3326.38 2 -1926.83 0.00 2440.65 1926.83 0.00 4881.31 4

Ф = 0.00 Ф = 0.00cH cV cM 61 5 6 dH dV dM 61 7 8

1624.43 0.00 -3086.41 -1624.43 0.00 -3086.41 cH 1624.43 0.00 -3086.41 -1624.43 0.00 -3086.41 dH0.00 1954.73 0.00 0.00 -1954.73 0.00 cV 0.00 1954.73 0.00 0.00 -1954.73 0.00 dV

K (c-5) = -3086.41 0.00 7818.91 -3086.41 0.00 3909.45 cM K (d-7) = -3086.41 0.00 7818.91 -3086.41 0.00 3909.45 dM-1624.43 0.00 -3086.41 1624.43 0.00 3086.41 61 -1624.43 0.00 -3086.41 1624.43 0.00 3086.41 61

0.00 -1954.73 0.00 0.00 1954.73 0.00 5 0.00 -1954.73 0.00 0.00 1954.73 0.00 7-3086.41 0.00 3909.45 3086.41 0.00 7818.91 6 -3086.41 0.00 3909.45 3086.41 0.00 7818.91 8

Ф = 0.00eH eV eM 61 9 10

1624.43 0.00 -3086.41 -1624.43 0.00 -3086.41 eH0.00 1954.73 0.00 0.00 -1954.73 0.00 eV

K (e-9) = -3086.41 0.00 7818.91 -3086.41 0.00 3909.45 eM-1624.43 0.00 -3086.41 1624.43 0.00 3086.41 61

0.00 -1954.73 0.00 0.00 1954.73 0.00 9-3086.41 0.00 3909.45 3086.41 0.00 7818.91 10

1er Nivel

Ф = 1.17 Ф = 0.0061 1 2 62 11 12 61 3 4 62 13 14

1853.41 0.00 -2224.10 -1853.41 0.00 -2224.10 61 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 610.00 1932.18 0.00 0.00 -1932.18 0.00 1 0.00 1932.18 0.00 0.00 -1932.18 0.00 3

K (1-11) = -2224.10 0.00 3558.55 -2224.10 0.00 1779.28 2 K (3-13) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 4-1853.41 0.00 -2224.10 1853.41 0.00 2224.10 62 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 62

0.00 -1932.18 0.00 0.00 1932.18 0.00 11 0.00 -1932.18 0.00 0.00 1932.18 0.00 13-2224.10 0.00 1779.28 2224.10 0.00 3558.55 12 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 14

Ф = 0.00 Ф = 0.0061 5 6 62 15 16 61 7 8 62 17 18

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 61 6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 610.00 3094.98 0.00 0.00 -3094.98 0.00 5 0.00 3094.98 0.00 0.00 -3094.98 0.00 7

K (5-15) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 6 K (7-17) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 8-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 62 -6447.88 0.00 -7737.46 6447.88 0.00 7737.46 62

0.00 -3094.98 0.00 0.00 3094.98 0.00 15 0.00 -3094.98 0.00 0.00 3094.98 0.00 17-7737.46 0.00 6189.97 7737.46 0.00 12379.94 16 -7737.46 0.00 6189.97 7737.46 0.00 12379.94 18

Ф = 0.0061 9 10 62 19 20

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 610.00 3094.98 0.00 0.00 -3094.98 0.00 9

K (9-19) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 10-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 62

0.00 -3094.98 0.00 0.00 3094.98 0.00 19-7737.46 0.00 6189.97 7737.46 0.00 12379.94 20

2do Nivel

Ф = 1.17 Ф = 0.0062 11 12 63 21 22 62 13 14 63 23 24

1853.41 0.00 -2224.10 -1853.41 0.00 -2224.10 62 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 620.00 1932.18 0.00 0.00 -1932.18 0.00 11 0.00 1932.18 0.00 0.00 -1932.18 0.00 13

K (11-21) = -2224.10 0.00 3558.55 -2224.10 0.00 1779.28 12 K (13-23) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 14-1853.41 0.00 -2224.10 1853.41 0.00 2224.10 63 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 63

0.00 -1932.18 0.00 0.00 1932.18 0.00 21 0.00 -1932.18 0.00 0.00 1932.18 0.00 23-2224.10 0.00 1779.28 2224.10 0.00 3558.55 22 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 24

Ф = 0.00 Ф = 0.0062 15 16 63 25 26 62 17 18 63 27 28

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 62 6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 620.00 3094.98 0.00 0.00 -3094.98 0.00 15 0.00 3094.98 0.00 0.00 -3094.98 0.00 17

K (15-25) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 16 K (17-27) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 18-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 63 -6447.88 0.00 -7737.46 6447.88 0.00 7737.46 63

0.00 -3094.98 0.00 0.00 3094.98 0.00 25 0.00 -3094.98 0.00 0.00 3094.98 0.00 27-7737.46 0.00 6189.97 7737.46 0.00 12379.94 26 -7737.46 0.00 6189.97 7737.46 0.00 12379.94 28

Ф = 0.0062 19 20 63 29 30

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 620.00 3094.98 0.00 0.00 -3094.98 0.00 19

K (19-29) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 20-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 63

0.00 -3094.98 0.00 0.00 3094.98 0.00 29-7737.46 0.00 6189.97 7737.46 0.00 12379.94 30

3er Nivel

Ф = 1.17 Ф = 0.0063 21 22 64 31 32 63 23 24 64 33 34

1853.41 0.00 -2224.10 -1853.41 0.00 -2224.10 63 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 630.00 1932.18 0.00 0.00 -1932.18 0.00 21 0.00 1932.18 0.00 0.00 -1932.18 0.00 23

K (21-31) = -2224.10 0.00 3558.55 -2224.10 0.00 1779.28 22 K (23-33) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 24-1853.41 0.00 -2224.10 1853.41 0.00 2224.10 64 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 64

0.00 -1932.18 0.00 0.00 1932.18 0.00 31 0.00 -1932.18 0.00 0.00 1932.18 0.00 33-2224.10 0.00 1779.28 2224.10 0.00 3558.55 32 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 34

Ф = 0.00 Ф = 0.0063 25 26 64 35 36 63 27 28 64 37 38

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 63 6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 630.00 3094.98 0.00 0.00 -3094.98 0.00 25 0.00 3094.98 0.00 0.00 -3094.98 0.00 27

K (25-35) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 26 K (27-37) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 28-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 64 -6447.88 0.00 -7737.46 6447.88 0.00 7737.46 64

0.00 -3094.98 0.00 0.00 3094.98 0.00 35 0.00 -3094.98 0.00 0.00 3094.98 0.00 37-7737.46 0.00 6189.97 7737.46 0.00 12379.94 36 -7737.46 0.00 6189.97 7737.46 0.00 12379.94 38

Ф = 0.0063 29 30 64 39 40

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 630.00 3094.98 0.00 0.00 -3094.98 0.00 29

K (29-39) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 30-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 64

0.00 -3094.98 0.00 0.00 3094.98 0.00 39-7737.46 0.00 6189.97 7737.46 0.00 12379.94 40

4to Nivel

Ф = 1.17 Ф = 0.0064 31 32 65 41 42 64 33 34 65 43 44

1853.41 0.00 -2224.10 -1853.41 0.00 -2224.10 64 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 640.00 1932.18 0.00 0.00 -1932.18 0.00 31 0.00 1932.18 0.00 0.00 -1932.18 0.00 33

K (31-41) = -2224.10 0.00 3558.55 -2224.10 0.00 1779.28 32 K (33-43) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 34-1853.41 0.00 -2224.10 1853.41 0.00 2224.10 65 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 65

0.00 -1932.18 0.00 0.00 1932.18 0.00 41 0.00 -1932.18 0.00 0.00 1932.18 0.00 43-2224.10 0.00 1779.28 2224.10 0.00 3558.55 42 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 44

Ф = 0.00 Ф = 0.0064 35 36 65 45 46 64 37 38 65 47 48

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 64 6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 640.00 3094.98 0.00 0.00 -3094.98 0.00 35 0.00 3094.98 0.00 0.00 -3094.98 0.00 37

K (35-45) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 36 K (37-47) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 38-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 65 -6447.88 0.00 -7737.46 6447.88 0.00 7737.46 65

0.00 -3094.98 0.00 0.00 3094.98 0.00 45 0.00 -3094.98 0.00 0.00 3094.98 0.00 47-7737.46 0.00 6189.97 7737.46 0.00 12379.94 46 -7737.46 0.00 6189.97 7737.46 0.00 12379.94 48

Ф = 0.0064 39 40 65 49 50

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 640.00 3094.98 0.00 0.00 -3094.98 0.00 39

K (39-49) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 40-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 65

0.00 -3094.98 0.00 0.00 3094.98 0.00 49-7737.46 0.00 6189.97 7737.46 0.00 12379.94 50

5to Nivel

Ф = 1.17 Ф = 0.0065 41 42 66 51 52 65 43 44 66 53 54

1853.41 0.00 -2224.10 -1853.41 0.00 -2224.10 65 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 650.00 1932.18 0.00 0.00 -1932.18 0.00 41 0.00 1932.18 0.00 0.00 -1932.18 0.00 43

K (41-51) = -2224.10 0.00 3558.55 -2224.10 0.00 1779.28 42 K (43-53) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 44-1853.41 0.00 -2224.10 1853.41 0.00 2224.10 66 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 66

0.00 -1932.18 0.00 0.00 1932.18 0.00 51 0.00 -1932.18 0.00 0.00 1932.18 0.00 53-2224.10 0.00 1779.28 2224.10 0.00 3558.55 52 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 54

Ф = 0.00 Ф = 0.0065 45 46 66 55 56 65 47 48 66 57 58

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 65 6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 650.00 3094.98 0.00 0.00 -3094.98 0.00 45 0.00 3094.98 0.00 0.00 -3094.98 0.00 47

K (45-55) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 46 K (47-57) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 48-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 66 -6447.88 0.00 -7737.46 6447.88 0.00 7737.46 66

0.00 -3094.98 0.00 0.00 3094.98 0.00 55 0.00 -3094.98 0.00 0.00 3094.98 0.00 57-7737.46 0.00 6189.97 7737.46 0.00 12379.94 56 -7737.46 0.00 6189.97 7737.46 0.00 12379.94 58

Ф = 0.0065 49 50 66 59 60

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 650.00 3094.98 0.00 0.00 -3094.98 0.00 49

K (49-59) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 50-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 66

0.00 -3094.98 0.00 0.00 3094.98 0.00 59-7737.46 0.00 6189.97 7737.46 0.00 12379.94 60

Matriz Global de Rigidez

1 2 3 4 5 6 7 8 9 10 11 12 13 14 151 40561.11 72697.38 -37408.60 30300.96 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.002 72697.38 80715.79 -72697.38 58247.68 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1779.28 0.00 0.00 0.003 -37408.60 -72697.38 40799.55 -29516.51 -238.44 784.46 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.004 30300.96 58247.68 -29516.51 45234.89 -784.46 1720.58 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.005 0.00 0.00 -238.44 -784.46 6390.35 1392.38 -1102.20 2176.84 0.00 0.00 0.00 0.00 0.00 0.00 -3094.986 0.00 0.00 784.46 1720.58 1392.38 29372.35 -2176.84 2866.17 0.00 0.00 0.00 0.00 0.00 0.00 0.007 0.00 0.00 0.00 0.00 -1102.20 -2176.84 7911.05 796.11 -1759.14 2972.95 0.00 0.00 0.00 0.00 0.008 0.00 0.00 0.00 0.00 2176.84 2866.17 796.11 32630.24 -2972.95 3349.52 0.00 0.00 0.00 0.00 0.009 0.00 0.00 0.00 0.00 0.00 0.00 -1759.14 -2972.95 6808.85 -2972.95 0.00 0.00 0.00 0.00 0.00

10 0.00 0.00 0.00 0.00 0.00 0.00 2972.95 3349.52 -2972.95 26897.89 0.00 0.00 0.00 0.00 0.0011 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 41272.97 72697.38 -37408.60 30300.96 0.0012 0.00 1779.28 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 72697.38 80947.96 -72697.38 58247.68 0.0013 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -37408.60 -72697.38 41511.40 -29516.51 -238.4414 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 30300.96 58247.68 -29516.51 48082.31 -784.4615 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -238.44 -784.46 7530.6016 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 784.46 1720.58 1392.3817 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1102.2018 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 2176.8419 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.0020 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.0021 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.0022 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1779.28 0.00 0.00 0.0023 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.0024 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.0025 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.9826 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0027 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0028 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0029 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0030 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0031 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

[K] =32 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0033 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0034 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0035 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0036 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0037 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0038 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0039 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0040 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0041 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0042 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0043 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0044 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0045 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0046 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0047 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0048 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0049 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0050 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0051 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0052 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0053 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0054 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0055 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0056 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0057 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0058 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0059 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0060 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0061 0.00 -911.05 0.00 -2903.63 0.00 -4651.05 0.00 -4651.05 0.00 -4651.05 0.00 -2224.10 0.00 -4830.46 0.0062 0.00 -2224.10 0.00 -4830.46 0.00 -7737.46 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.0063 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2224.10 0.00 -4830.46 0.0064 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0065 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0066 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

[K] = Kvv kvu

Kuv kuu

1 2 3 4 5 6 7 8 9 10 11 12 13 14 151 40561.11 72697.38 -37408.60 30300.96 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.002 72697.38 80715.79 -72697.38 58247.68 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1779.28 0.00 0.00 0.003 -37408.60 -72697.38 40799.55 -29516.51 -238.44 784.46 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.004 30300.96 58247.68 -29516.51 45234.89 -784.46 1720.58 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.005 0.00 0.00 -238.44 -784.46 6390.35 1392.38 -1102.20 2176.84 0.00 0.00 0.00 0.00 0.00 0.00 -3094.986 0.00 0.00 784.46 1720.58 1392.38 29372.35 -2176.84 2866.17 0.00 0.00 0.00 0.00 0.00 0.00 0.007 0.00 0.00 0.00 0.00 -1102.20 -2176.84 7911.05 796.11 -1759.14 2972.95 0.00 0.00 0.00 0.00 0.008 0.00 0.00 0.00 0.00 2176.84 2866.17 796.11 32630.24 -2972.95 3349.52 0.00 0.00 0.00 0.00 0.009 0.00 0.00 0.00 0.00 0.00 0.00 -1759.14 -2972.95 6808.85 -2972.95 0.00 0.00 0.00 0.00 0.00

10 0.00 0.00 0.00 0.00 0.00 0.00 2972.95 3349.52 -2972.95 26897.89 0.00 0.00 0.00 0.00 0.0011 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 41272.97 72697.38 -37408.60 30300.96 0.0012 0.00 1779.28 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 72697.38 80947.96 -72697.38 58247.68 0.0013 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -37408.60 -72697.38 41511.40 -29516.51 -238.4414 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 30300.96 58247.68 -29516.51 48082.31 -784.4615 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -238.44 -784.46 7530.6016 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 784.46 1720.58 1392.3817 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1102.2018 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 2176.8419 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.0020 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.0021 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.0022 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1779.28 0.00 0.00 0.0023 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.0024 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.0025 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.9826 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0027 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0028 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

[Kvv] =29 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0030 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0031 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0032 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0033 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0034 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0035 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0036 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0037 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0038 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0039 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0040 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0041 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0042 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0043 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0044 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0045 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0046 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0047 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0048 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0049 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0050 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0051 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0052 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0053 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0054 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0055 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0056 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0057 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0058 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0059 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0060 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

61 0.00 -911.05 0.00 -2903.63 0.00 -4651.05 0.00 -4651.05 0.00 -4651.05 0.00 -2224.10 0.00 -4830.46 0.0062 0.00 -2224.10 0.00 -4830.46 0.00 -7737.46 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00

[Kuv] = 63 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2224.10 0.00 -4830.46 0.0064 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0065 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0066 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

3.32E-04 1.68E-05 3.27E-04 -2.91E-05 4.97E-05 -6.26E-06 2.74E-05 -1.05E-06 2.30E-05 -2.75E-07 2.89E-04 1.54E-06 2.89E-04 -2.35E-06 7.15E-051.68E-05 -1.81E-05 -1.54E-05 2.20E-06 -6.78E-07 2.99E-07 -1.17E-07 9.25E-09 -8.94E-08 1.08E-09 1.31E-06 3.92E-07 2.04E-07 -1.38E-06 -5.92E-073.27E-04 -1.54E-05 3.19E-04 1.05E-05 5.63E-05 -8.77E-06 2.85E-05 -1.21E-06 2.36E-05 -2.90E-07 2.88E-04 2.25E-07 2.81E-04 -8.27E-06 7.42E-05-2.91E-05 2.20E-06 1.05E-05 4.63E-05 9.23E-06 -3.55E-06 1.46E-06 -2.09E-07 9.28E-07 -2.07E-08 -3.32E-06 -1.62E-06 -9.52E-06 -5.56E-06 4.25E-064.97E-05 -6.78E-07 5.63E-05 9.23E-06 2.85E-04 -6.43E-06 1.01E-04 -1.44E-05 5.95E-05 -2.38E-06 7.21E-05 -6.90E-07 7.39E-05 3.32E-06 2.09E-04-6.26E-06 2.99E-07 -8.77E-06 -3.55E-06 -6.43E-06 3.75E-05 1.23E-05 -3.05E-06 3.46E-06 -5.91E-07 -6.02E-06 5.49E-08 -5.02E-06 1.17E-06 -1.40E-062.74E-05 -1.17E-07 2.85E-05 1.46E-06 1.01E-04 1.23E-05 2.49E-04 -1.21E-06 1.26E-04 -1.33E-05 4.32E-05 -2.51E-07 4.46E-05 2.07E-06 1.22E-04-1.05E-06 9.25E-09 -1.21E-06 -2.09E-07 -1.44E-05 -3.05E-06 -1.21E-06 3.47E-05 1.70E-05 -2.72E-06 -1.61E-06 2.93E-08 -1.77E-06 -2.34E-07 -6.01E-062.30E-05 -8.94E-08 2.36E-05 9.28E-07 5.95E-05 3.46E-06 1.26E-04 1.70E-05 2.97E-04 1.61E-05 3.63E-05 -1.63E-07 3.71E-05 1.25E-06 8.95E-05-2.75E-07 1.08E-09 -2.90E-07 -2.07E-08 -2.38E-06 -5.91E-07 -1.33E-05 -2.72E-06 1.61E-05 4.27E-05 -4.37E-07 5.10E-09 -4.76E-07 -5.51E-08 -2.32E-062.89E-04 1.31E-06 2.88E-04 -3.32E-06 7.21E-05 -6.02E-06 4.32E-05 -1.61E-06 3.63E-05 -4.37E-07 4.83E-04 1.73E-05 4.80E-04 -2.82E-05 1.08E-041.54E-06 3.92E-07 2.25E-07 -1.62E-06 -6.90E-07 5.49E-08 -2.51E-07 2.93E-08 -1.63E-07 5.10E-09 1.73E-05 -1.85E-05 -1.50E-05 2.54E-06 -8.96E-072.89E-04 2.04E-07 2.81E-04 -9.52E-06 7.39E-05 -5.02E-06 4.46E-05 -1.77E-06 3.71E-05 -4.76E-07 4.80E-04 -1.50E-05 4.70E-04 7.63E-06 1.14E-04-2.35E-06 -1.38E-06 -8.27E-06 -5.56E-06 3.32E-06 1.17E-06 2.07E-06 -2.34E-07 1.25E-06 -5.51E-08 -2.82E-05 2.54E-06 7.63E-06 4.12E-05 8.52E-067.15E-05 -5.92E-07 7.42E-05 4.25E-06 2.09E-04 -1.40E-06 1.22E-04 -6.01E-06 8.95E-05 -2.32E-06 1.08E-04 -8.96E-07 1.14E-04 8.52E-06 3.76E-04-4.74E-06 2.43E-08 -3.77E-06 1.17E-06 -9.82E-07 -6.86E-06 2.91E-06 1.39E-06 3.38E-06 -4.61E-08 -7.25E-06 2.16E-07 -9.29E-06 -2.85E-06 -5.18E-064.32E-05 -2.15E-07 4.48E-05 2.33E-06 1.22E-04 4.19E-06 1.85E-04 8.47E-07 1.50E-04 -1.64E-06 6.76E-05 -3.29E-07 6.92E-05 2.46E-06 1.84E-04-1.39E-06 2.30E-08 -1.55E-06 -2.32E-07 -4.55E-06 1.39E-06 7.26E-07 -5.38E-06 5.66E-06 1.78E-06 -1.94E-06 1.40E-08 -2.01E-06 -1.11E-07 -1.26E-053.63E-05 -1.40E-07 3.73E-05 1.43E-06 8.95E-05 4.10E-06 1.49E-04 7.27E-06 2.27E-04 4.53E-06 5.73E-05 -2.49E-07 5.85E-05 1.85E-06 1.35E-04-3.65E-07 3.76E-09 -4.02E-07 -5.13E-08 -1.89E-06 -4.79E-08 -6.69E-07 1.75E-06 3.04E-06 -8.42E-06 -5.46E-07 4.15E-09 -5.62E-07 -2.63E-08 -2.41E-062.62E-04 4.84E-07 2.58E-04 -5.72E-06 8.44E-05 -4.83E-06 5.55E-05 -1.75E-06 4.74E-05 -5.30E-07 4.33E-04 1.76E-06 4.32E-04 -4.78E-06 1.33E-045.32E-07 6.30E-08 7.47E-07 1.70E-07 -3.47E-07 -4.05E-08 -2.56E-07 1.08E-08 -1.95E-07 4.36E-09 1.73E-06 3.84E-07 5.43E-07 -1.45E-06 -7.37E-072.58E-04 6.81E-07 2.55E-04 -4.83E-06 8.59E-05 -4.99E-06 5.67E-05 -1.75E-06 4.83E-05 -5.45E-07 4.32E-04 5.74E-07 4.24E-04 -1.02E-05 1.35E-04-4.94E-06 1.46E-07 -4.07E-06 9.26E-07 2.35E-06 -1.43E-07 1.80E-06 -1.56E-08 1.48E-06 -2.49E-08 -4.87E-06 -1.45E-06 -1.03E-05 -4.86E-06 4.21E-068.41E-05 -3.27E-07 8.59E-05 2.78E-06 1.70E-04 -4.78E-07 1.28E-04 -3.52E-06 1.07E-04 -1.40E-06 1.33E-04 -7.56E-07 1.35E-04 4.14E-06 2.95E-04-3.96E-06 -2.82E-08 -4.12E-06 -1.57E-07 -4.55E-07 1.64E-06 2.70E-06 -1.65E-07 2.80E-06 4.04E-08 -6.96E-06 3.26E-08 -6.07E-06 1.05E-06 -9.22E-075.55E-05 -2.27E-07 5.69E-05 2.10E-06 1.28E-04 3.22E-06 1.61E-04 1.01E-06 1.53E-04 -8.06E-07 8.74E-05 -3.95E-07 8.93E-05 2.98E-06 2.04E-04-1.50E-06 7.90E-09 -1.50E-06 -1.57E-08 -2.98E-06 -1.63E-07 8.49E-07 1.48E-06 4.00E-06 -1.96E-07 -2.33E-06 2.17E-08 -2.46E-06 -1.87E-07 -5.36E-064.73E-05 -1.74E-07 4.85E-05 1.70E-06 1.07E-04 3.39E-06 1.53E-04 4.70E-06 1.92E-04 2.87E-06 7.48E-05 -3.08E-07 7.62E-05 2.24E-06 1.68E-04-4.46E-07 3.23E-09 -4.61E-07 -2.44E-08 -1.14E-06 3.91E-08 -7.46E-07 -1.98E-07 2.45E-06 2.09E-06 -6.81E-07 4.47E-09 -7.09E-07 -4.17E-08 -2.16E-062.42E-04 5.09E-07 2.39E-04 -4.44E-06 9.20E-05 -4.34E-06 6.42E-05 -1.74E-06 5.57E-05 -5.59E-07 4.01E-04 8.51E-07 3.97E-04 -6.80E-06 1.47E-045.58E-07 -3.52E-09 5.18E-07 -4.72E-08 -2.35E-07 -8.55E-09 -2.30E-07 1.81E-09 -2.06E-07 1.68E-09 8.13E-07 6.72E-08 1.01E-06 1.42E-07 -4.35E-072.39E-04 4.76E-07 2.36E-04 -4.43E-06 9.29E-05 -4.21E-06 6.53E-05 -1.75E-06 5.67E-05 -5.65E-07 3.97E-04 1.05E-06 3.93E-04 -5.98E-06 1.48E-04-3.81E-06 -3.84E-08 -3.79E-06 7.42E-08 1.53E-06 1.67E-07 1.67E-06 -1.83E-08 1.54E-06 -8.95E-09 -6.89E-06 1.40E-07 -6.06E-06 8.74E-07 2.90E-069.18E-05 -2.18E-07 9.30E-05 1.82E-06 1.50E-04 1.27E-07 1.30E-04 -1.82E-06 1.17E-04 -8.64E-07 1.47E-04 -4.49E-07 1.49E-04 2.85E-06 2.54E-04-3.63E-06 -6.63E-09 -3.51E-06 1.65E-07 1.08E-07 -1.15E-07 1.91E-06 1.98E-07 2.45E-06 2.18E-08 -5.99E-06 -4.27E-08 -6.09E-06 -7.47E-08 -1.39E-076.42E-05 -2.10E-07 6.55E-05 1.94E-06 1.29E-04 2.31E-06 1.50E-04 1.00E-06 1.51E-04 7.51E-08 1.02E-04 -3.95E-07 1.04E-04 2.69E-06 2.10E-04-1.51E-06 1.47E-09 -1.52E-06 -1.83E-08 -1.50E-06 1.98E-07 8.56E-07 1.32E-08 2.53E-06 2.22E-07 -2.44E-06 6.99E-09 -2.43E-06 7.79E-09 -3.17E-065.55E-05 -1.88E-07 5.67E-05 1.78E-06 1.17E-04 2.91E-06 1.51E-04 2.99E-06 1.73E-04 1.49E-06 8.81E-05 -3.42E-07 8.96E-05 2.43E-06 1.87E-04-4.83E-07 1.25E-09 -4.88E-07 -8.40E-09 -7.12E-07 2.16E-08 1.06E-07 2.19E-07 1.21E-06 -3.27E-07 -7.70E-07 3.24E-09 -7.80E-07 -1.70E-08 -1.31E-062.29E-04 4.39E-07 2.26E-04 -3.99E-06 9.63E-05 -3.92E-06 6.98E-05 -1.70E-06 6.12E-05 -5.66E-07 3.80E-04 8.63E-07 3.76E-04 -5.67E-06 1.55E-045.57E-07 3.22E-09 5.44E-07 -2.00E-08 -1.96E-07 -1.88E-08 -2.48E-07 -1.27E-09 -2.44E-07 3.80E-10 9.57E-07 -1.43E-09 9.14E-07 -5.44E-08 -3.62E-072.27E-04 4.33E-07 2.25E-04 -3.90E-06 9.69E-05 -3.87E-06 7.06E-05 -1.69E-06 6.20E-05 -5.65E-07 3.77E-04 8.23E-07 3.73E-04 -5.64E-06 1.56E-04-3.21E-06 -1.21E-08 -3.12E-06 1.42E-07 1.07E-06 9.03E-08 1.44E-06 1.76E-08 1.45E-06 -1.61E-10 -5.39E-06 -4.95E-08 -5.36E-06 1.08E-07 1.95E-069.64E-05 -1.58E-07 9.73E-05 1.35E-06 1.39E-04 3.37E-07 1.29E-04 -1.01E-06 1.22E-04 -5.19E-07 1.55E-04 -3.26E-07 1.56E-04 2.05E-06 2.33E-04-2.76E-06 -1.05E-08 -2.71E-06 7.53E-08 2.09E-07 1.75E-07 1.40E-06 6.15E-08 1.81E-06 3.18E-08 -4.66E-06 -1.16E-08 -4.53E-06 1.72E-07 2.45E-076.96E-05 -1.96E-07 7.08E-05 1.78E-06 1.30E-04 1.98E-06 1.45E-04 9.40E-07 1.49E-04 2.14E-07 1.11E-04 -3.71E-07 1.12E-04 2.53E-06 2.11E-04-1.38E-06 -8.71E-10 -1.36E-06 1.80E-08 -7.46E-07 6.76E-08 7.49E-07 1.74E-07 1.71E-06 3.79E-08 -2.26E-06 -1.25E-09 -2.26E-06 3.06E-09 -1.55E-066.08E-05 -1.92E-07 6.20E-05 1.79E-06 1.22E-04 2.55E-06 1.49E-04 2.19E-06 1.64E-04 1.01E-06 9.66E-05 -3.55E-07 9.82E-05 2.48E-06 1.96E-04-4.25E-07 2.26E-10 -4.25E-07 -3.24E-10 -3.68E-07 3.17E-08 1.56E-07 3.45E-08 7.43E-07 1.31E-07 -6.91E-07 8.03E-10 -6.91E-07 -2.07E-09 -7.45E-072.25E-04 4.21E-07 2.22E-04 -3.80E-06 9.78E-05 -3.79E-06 7.18E-05 -1.69E-06 6.32E-05 -5.67E-07 3.72E-04 8.09E-07 3.69E-04 -5.45E-06 1.57E-043.28E-07 1.43E-09 3.19E-07 -1.36E-08 -1.10E-07 -1.02E-08 -1.47E-07 -1.39E-09 -1.47E-07 5.14E-11 5.54E-07 3.51E-09 5.44E-07 -1.72E-08 -2.02E-072.21E-04 4.04E-07 2.18E-04 -3.66E-06 9.90E-05 -3.66E-06 7.34E-05 -1.67E-06 6.49E-05 -5.65E-07 3.66E-04 7.80E-07 3.63E-04 -5.22E-06 1.59E-04-5.08E-06 -2.32E-08 -4.94E-06 2.00E-07 1.62E-06 1.69E-07 2.29E-06 2.84E-08 2.35E-06 3.04E-09 -8.60E-06 -4.07E-08 -8.40E-06 3.11E-07 2.95E-069.90E-05 -1.32E-07 9.97E-05 1.13E-06 1.35E-04 3.88E-07 1.29E-04 -7.08E-07 1.23E-04 -3.92E-07 1.60E-04 -2.69E-07 1.61E-04 1.72E-06 2.25E-04-5.69E-06 -2.01E-08 -5.55E-06 1.93E-07 6.86E-07 2.11E-07 2.78E-06 1.52E-07 3.56E-06 5.01E-08 -9.55E-06 -4.08E-08 -9.40E-06 2.48E-07 1.01E-067.17E-05 -1.90E-07 7.28E-05 1.73E-06 1.30E-04 1.85E-06 1.44E-04 8.94E-07 1.48E-04 2.74E-07 1.14E-04 -3.64E-07 1.16E-04 2.46E-06 2.12E-04-2.35E-06 -2.89E-09 -2.32E-06 3.25E-08 -1.02E-06 1.48E-07 1.27E-06 1.86E-07 2.66E-06 1.06E-07 -3.87E-06 -2.96E-09 -3.84E-06 4.03E-08 -2.19E-066.28E-05 -1.93E-07 6.40E-05 1.79E-06 1.24E-04 2.42E-06 1.48E-04 1.91E-06 1.60E-04 8.24E-07 9.98E-05 -3.60E-07 1.01E-04 2.50E-06 2.00E-04-8.34E-07 -8.57E-12 -8.31E-07 4.05E-09 -6.10E-07 5.26E-08 4.00E-07 1.14E-07 1.25E-06 2.47E-08 -1.36E-06 8.86E-10 -1.36E-06 -3.32E-10 -1.24E-06

0.1626 0.0141 0.1151 -0.0954 0.1246 -0.1102 -0.0263 -0.1158 -0.2716 -0.1312 0.2188 0.0311 0.1495 -0.1684 0.15080.2302 0.0266 0.1281 -0.2028 0.1610 -0.2560 -0.0196 -0.2319 -0.3651 -0.3196 0.1724 0.0120 0.2219 0.0434 0.10270.1188 0.0056 0.1435 0.0223 0.0523 0.0354 -0.0622 0.0151 -0.1540 0.0527 0.2754 0.0265 0.1873 -0.1856 0.14000.1180 -0.0006 0.1138 -0.0047 0.0271 -0.0134 -0.0540 -0.0108 -0.1177 -0.0164 0.1796 0.0060 0.2019 0.0186 0.05390.1530 0.0005 0.1504 -0.0040 0.0091 -0.0056 -0.0749 -0.0069 -0.1236 -0.0007 0.2573 -0.0001 0.2513 -0.0076 0.0275-0.0428 -0.0001 -0.0419 0.0014 0.0026 0.0015 0.0209 0.0015 0.0294 -0.0001 -0.0719 -0.0002 -0.0705 0.0020 0.0024

[K-1vv] =

[Kuv]*[K-1vv] =

7513.98 2522.59 5881.00 -596.19 472.49 -104.662522.59 13626.09 -2571.10 6797.41 -538.91 105.165881.00 -2571.10 12909.93 -2421.84 7187.77 -1477.24-596.19 6797.41 -2421.84 13015.73 -2554.68 7488.79472.49 -538.91 7187.77 -2554.68 17573.19 -12680.86-104.66 105.16 -1477.24 7488.79 -12680.86 18647.46

Matriz Rigidez Lateral del Portico

31800.93 -25222.45 0.00 0.00 0.00 0.00 7513.98 2522.59 5881.00 -596.19 472.49 -104.66-25222.45 50444.90 -25222.45 0.00 0.00 0.00 2522.59 13626.09 -2571.10 6797.41 -538.91 105.16

= 0.00 -25222.45 50444.90 -25222.45 0.00 0.00 - 5881.00 -2571.10 12909.93 -2421.84 7187.77 -1477.240.00 0.00 -25222.45 50444.90 -25222.45 0.00 -596.19 6797.41 -2421.84 13015.73 -2554.68 7488.790.00 0.00 0.00 -25222.45 50444.90 -25222.45 472.49 -538.91 7187.77 -2554.68 17573.19 -12680.860.00 0.00 0.00 0.00 -25222.45 25222.45 -104.66 105.16 -1477.24 7488.79 -12680.86 18647.46

24286.95 -27745.04 -5881.00 596.19 -472.49 104.66-27745.04 36818.80 -22651.35 -6797.41 538.91 -105.16

[ KL A] = -5881.00 -22651.35 37534.97 -22800.61 -7187.77 1477.24596.19 -6797.41 -22800.61 37429.17 -22667.76 -7488.79

-472.49 538.91 -7187.77 -22667.76 32871.71 -12541.59104.66 -105.16 1477.24 -7488.79 -12541.59 6574.99

[Kuv]*[K-1vv]*[Kvu] =

16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 330.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 1779.28 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

784.46 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.001720.58 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.001392.38 -1102.20 2176.84 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

33933.38 -2176.84 2866.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00-2176.84 9051.31 796.11 -1759.14 2972.95 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.002866.17 796.11 37191.27 -2972.95 3349.52 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00

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30300.96 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0058247.68 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1779.28 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00-29516.51 -238.44 784.46 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0048082.31 -784.46 1720.58 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00-784.46 7530.60 1392.38 -1102.20 2176.84 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.001720.58 1392.38 33933.38 -2176.84 2866.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00

0.00 -1102.20 -2176.84 9051.31 796.11 -1759.14 2972.95 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.000.00 2176.84 2866.17 796.11 37191.27 -2972.95 3349.52 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.000.00 0.00 0.00 -1759.14 -2972.95 7949.11 -2972.95 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.000.00 0.00 0.00 2972.95 3349.52 -2972.95 31458.92 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 41272.97 72697.38 -37408.60 30300.96 0.00 0.00 0.00 0.00 0.00 0.00 -1932.180.00 0.00 0.00 0.00 0.00 0.00 0.00 72697.38 80947.96 -72697.38 58247.68 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 -37408.60 -72697.38 41511.40 -29516.51 -238.44 784.46 0.00 0.00 0.00 0.00 0.00

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-2224.10 0.00 -4830.46 0.00 -7737.46 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.00 -25222.45 50444.90 -25222.45 652224.10 0.00 4830.46 0.00 7737.46 0.00 7737.46 0.00 7737.46 0.00 0.00 0.00 0.00 -25222.45 25222.45 66

52 53 54 55 56 57 58 59 60 61 62 63 64 65 66

52 53 54 55 56 57 58 59 60 61 62 63 64 65 660.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 10.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -911.05 -2224.10 0.00 0.00 0.00 0.00 20.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 40.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 50.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4651.05 -7737.46 0.00 0.00 0.00 0.00 60.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 70.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4651.05 -7737.46 0.00 0.00 0.00 0.00 80.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 90.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4651.05 -7737.46 0.00 0.00 0.00 0.00 100.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 110.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2224.10 0.00 -2224.10 0.00 0.00 0.00 120.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 130.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 140.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 150.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.00 160.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 170.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.00 180.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 190.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.00 200.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 210.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2224.10 0.00 -2224.10 0.00 0.00 220.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 230.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 240.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 250.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 260.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 270.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 280.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

[Kvu] =0.00 0.00 0.00 0.00 0.00 0.00 29

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 300.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 310.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2224.10 0.00 -2224.10 0.00 320.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 330.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 340.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 350.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 360.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 370.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 380.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 390.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 400.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 41

1779.28 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2224.10 0.00 -2224.10 420.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 430.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 440.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 450.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 460.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 470.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 480.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 490.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 -7737.46 0.00 -7737.46 50

72697.38 -37408.60 30300.96 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 5177389.41 -72697.38 58247.68 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2224.10 2224.10 52-72697.38 39579.22 -29516.51 -238.44 784.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 5358247.68 -29516.51 40353.58 -784.46 1720.58 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 4830.46 54

0.00 -238.44 -784.46 4435.62 1392.38 -1102.20 2176.84 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 550.00 784.46 1720.58 1392.38 21553.44 -2176.84 2866.17 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 7737.46 560.00 0.00 0.00 -1102.20 -2176.84 5956.32 796.11 -1759.14 2972.95 0.00 0.00 0.00 0.00 0.00 0.00 570.00 0.00 0.00 2176.84 2866.17 796.11 24811.33 -2972.95 3349.52 0.00 0.00 0.00 0.00 -7737.46 7737.46 580.00 0.00 0.00 0.00 0.00 -1759.14 -2972.95 4854.13 -2972.95 0.00 0.00 0.00 0.00 0.00 0.00 590.00 0.00 0.00 0.00 0.00 2972.95 3349.52 -2972.95 19078.98 0.00 0.00 0.00 0.00 -7737.46 7737.46 60

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 31800.93 -25222.45 0.00 0.00 0.00 0.00 610.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -25222.45 50444.90 -25222.45 0.00 0.00 0.00 620.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 [Kuu] = 0.00 -25222.45 50444.90 -25222.45 0.00 0.00 630.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -25222.45 50444.90 -25222.45 0.00 64

-2224.10 0.00 -4830.46 0.00 -7737.46 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.00 -25222.45 50444.90 -25222.45 652224.10 0.00 4830.46 0.00 7737.46 0.00 7737.46 0.00 7737.46 0.00 0.00 0.00 0.00 -25222.45 25222.45 66

52 53 54 55 56 57 58 59 60 61 62 63 64 65 66

3.28E-07 2.21E-04 -5.08E-06 9.90E-05 -5.69E-06 7.17E-05 -2.35E-06 6.28E-05 -8.34E-071.43E-09 4.04E-07 -2.32E-08 -1.32E-07 -2.01E-08 -1.90E-07 -2.89E-09 -1.93E-07 -8.57E-123.19E-07 2.18E-04 -4.94E-06 9.97E-05 -5.55E-06 7.28E-05 -2.32E-06 6.40E-05 -8.31E-07-1.36E-08 -3.66E-06 2.00E-07 1.13E-06 1.93E-07 1.73E-06 3.25E-08 1.79E-06 4.05E-09-1.10E-07 9.90E-05 1.62E-06 1.35E-04 6.86E-07 1.30E-04 -1.02E-06 1.24E-04 -6.10E-07-1.02E-08 -3.66E-06 1.69E-07 3.88E-07 2.11E-07 1.85E-06 1.48E-07 2.42E-06 5.26E-08-1.47E-07 7.34E-05 2.29E-06 1.29E-04 2.78E-06 1.44E-04 1.27E-06 1.48E-04 4.00E-07-1.39E-09 -1.67E-06 2.84E-08 -7.08E-07 1.52E-07 8.94E-07 1.86E-07 1.91E-06 1.14E-07-1.47E-07 6.49E-05 2.35E-06 1.23E-04 3.56E-06 1.48E-04 2.66E-06 1.60E-04 1.25E-065.14E-11 -5.65E-07 3.04E-09 -3.92E-07 5.01E-08 2.74E-07 1.06E-07 8.24E-07 2.47E-085.54E-07 3.66E-04 -8.60E-06 1.60E-04 -9.55E-06 1.14E-04 -3.87E-06 9.98E-05 -1.36E-063.51E-09 7.80E-07 -4.07E-08 -2.69E-07 -4.08E-08 -3.64E-07 -2.96E-09 -3.60E-07 8.86E-105.44E-07 3.63E-04 -8.40E-06 1.61E-04 -9.40E-06 1.16E-04 -3.84E-06 1.01E-04 -1.36E-06-1.72E-08 -5.22E-06 3.11E-07 1.72E-06 2.48E-07 2.46E-06 4.03E-08 2.50E-06 -3.32E-10-2.02E-07 1.59E-04 2.95E-06 2.25E-04 1.01E-06 2.12E-04 -2.19E-06 2.00E-04 -1.24E-06-1.43E-08 -4.95E-06 1.97E-07 4.08E-07 3.99E-07 2.55E-06 1.73E-07 3.31E-06 8.00E-08-2.45E-07 1.17E-04 3.84E-06 2.10E-04 4.77E-06 2.37E-04 2.14E-06 2.43E-04 5.47E-07-9.07E-10 -2.31E-06 3.37E-08 -1.24E-06 1.83E-07 1.25E-06 3.71E-07 2.89E-06 1.25E-07-2.38E-07 1.03E-04 3.83E-06 1.99E-04 6.05E-06 2.43E-04 4.86E-06 2.66E-04 2.39E-064.30E-10 -7.62E-07 -1.67E-09 -6.30E-07 7.50E-08 2.81E-07 1.11E-07 1.30E-06 2.38E-078.34E-07 5.22E-04 -1.27E-05 2.17E-04 -1.40E-05 1.52E-04 -5.43E-06 1.32E-04 -1.87E-06-1.18E-09 1.11E-06 -9.87E-08 -4.44E-07 -4.24E-08 -5.10E-07 1.01E-09 -4.80E-07 3.64E-097.96E-07 5.17E-04 -1.25E-05 2.18E-04 -1.37E-05 1.54E-04 -5.43E-06 1.34E-04 -1.88E-06-4.77E-08 -7.87E-06 3.33E-07 2.84E-06 4.61E-07 3.64E-06 -4.61E-09 3.49E-06 -1.73E-08-3.39E-07 2.17E-04 4.88E-06 3.25E-04 1.04E-06 2.94E-04 -4.44E-06 2.71E-04 -2.36E-06-1.59E-08 -7.27E-06 3.97E-07 3.91E-07 8.71E-08 3.81E-06 4.50E-07 5.06E-06 9.38E-08-3.53E-07 1.56E-04 5.57E-06 2.92E-04 7.21E-06 3.34E-04 3.07E-06 3.40E-04 4.87E-071.29E-09 -3.37E-06 -1.30E-08 -2.47E-06 4.59E-07 1.82E-06 2.73E-07 4.84E-06 4.81E-07-3.26E-07 1.36E-04 5.28E-06 2.70E-04 9.03E-06 3.39E-04 8.15E-06 3.81E-04 4.22E-061.53E-09 -1.08E-06 -1.56E-08 -1.23E-06 8.62E-08 4.41E-07 4.40E-07 2.14E-06 -4.20E-071.06E-06 6.93E-04 -1.83E-05 2.67E-04 -1.90E-05 1.82E-04 -6.98E-06 1.57E-04 -2.34E-065.99E-08 1.65E-06 1.74E-07 -6.67E-07 -1.10E-07 -6.79E-07 1.74E-08 -5.86E-07 1.02E-081.22E-06 6.87E-04 -1.69E-05 2.70E-04 -1.90E-05 1.85E-04 -6.97E-06 1.60E-04 -2.37E-061.07E-07 -1.05E-05 1.64E-06 4.83E-06 9.81E-08 4.82E-06 -1.55E-08 4.39E-06 -5.29E-08-5.52E-07 2.69E-04 7.98E-06 4.41E-04 2.54E-07 3.74E-04 -8.90E-06 3.33E-04 -4.16E-06-3.46E-08 -1.08E-05 -1.59E-08 -2.59E-07 2.82E-06 6.48E-06 2.04E-09 7.28E-06 1.29E-07-4.68E-07 1.88E-04 7.41E-06 3.72E-04 1.09E-05 4.40E-04 3.98E-06 4.37E-04 -1.02E-067.75E-09 -4.37E-06 -2.69E-08 -5.50E-06 1.64E-08 2.38E-06 2.62E-06 8.57E-06 -3.61E-08-4.00E-07 1.62E-04 6.59E-06 3.32E-04 1.25E-05 4.36E-04 1.36E-05 5.13E-04 8.12E-064.16E-09 -1.43E-06 -5.06E-08 -2.28E-06 1.13E-07 -1.00E-06 -5.92E-08 5.05E-06 3.43E-062.08E-06 8.88E-04 -1.98E-05 3.09E-04 -2.57E-05 2.03E-04 -8.29E-06 1.74E-04 -2.66E-063.87E-07 1.74E-06 -2.27E-06 -1.59E-06 6.46E-08 -9.65E-07 6.49E-08 -7.70E-07 1.70E-081.09E-06 8.76E-04 -2.79E-05 3.12E-04 -2.38E-05 2.07E-04 -8.53E-06 1.77E-04 -2.75E-06-1.26E-06 -1.71E-05 -6.97E-06 6.06E-06 2.29E-06 6.19E-06 -3.90E-07 4.82E-06 -1.38E-07-9.68E-07 3.13E-04 1.28E-05 5.91E-04 -1.60E-06 4.50E-04 -1.62E-05 3.79E-04 -7.15E-06-2.30E-08 -9.82E-06 2.19E-06 -5.07E-07 -9.36E-06 5.38E-06 2.62E-06 8.47E-06 1.04E-07-5.62E-07 2.10E-04 9.47E-06 4.47E-04 1.57E-05 5.68E-04 4.62E-06 5.31E-04 -3.43E-062.80E-08 -5.28E-06 -3.85E-07 -6.74E-06 2.59E-06 2.60E-06 -6.84E-06 1.06E-05 3.31E-06-4.47E-07 1.80E-04 7.51E-06 3.79E-04 1.68E-05 5.30E-04 2.21E-05 6.74E-04 1.40E-055.81E-09 -1.49E-06 -1.06E-07 -3.39E-06 8.39E-08 1.37E-06 3.07E-06 3.82E-06 -1.26E-051.69E-05 1.11E-03 -5.97E-05 3.27E-04 -3.11E-05 2.11E-04 -8.64E-06 1.81E-04 -2.73E-06-1.65E-05 -1.31E-05 1.65E-06 -1.36E-06 3.80E-07 -5.48E-07 2.96E-08 -4.62E-07 6.34E-09-1.31E-05 1.09E-03 -7.32E-06 3.45E-04 -3.55E-05 2.18E-04 -9.18E-06 1.86E-04 -2.84E-061.65E-06 -7.32E-06 6.33E-05 2.43E-05 -5.91E-06 9.73E-06 -7.15E-07 7.79E-06 -1.42E-07-1.36E-06 3.45E-04 2.43E-05 8.06E-04 -1.09E-05 5.04E-04 -3.52E-05 3.97E-04 -9.41E-063.80E-07 -3.55E-05 -5.91E-06 -1.09E-05 5.56E-05 3.34E-05 -4.70E-06 1.90E-05 -1.44E-06-5.48E-07 2.18E-04 9.73E-06 5.04E-04 3.34E-05 7.58E-04 2.09E-06 5.98E-04 -2.57E-052.96E-08 -9.18E-06 -7.15E-07 -3.52E-05 -4.70E-06 2.09E-06 5.13E-05 4.42E-05 -3.45E-06-4.62E-07 1.86E-04 7.79E-06 3.97E-04 1.90E-05 5.98E-04 4.42E-05 9.03E-04 3.86E-056.34E-09 -2.84E-06 -1.42E-07 -9.41E-06 -1.44E-06 -2.57E-05 -3.45E-06 3.86E-05 6.71E-05

0.0003 0.1233 -0.0047 0.0038 -0.0087 -0.0616 -0.0074 -0.0983 -0.00430.0005 0.1886 -0.0067 0.0132 -0.0111 -0.0946 -0.0125 -0.1571 -0.0026-0.0003 0.2617 -0.0108 0.0439 -0.0292 -0.1253 -0.0251 -0.2509 -0.03040.0055 0.3333 0.0213 0.0695 0.0335 -0.1635 0.0017 -0.3075 0.07050.0251 0.6080 -0.2646 0.3549 -0.3776 -0.2044 -0.3505 -1.0060 -0.5078-0.0204 -0.2249 0.2825 -0.2580 0.3950 0.0217 0.3413 0.6260 0.5524


PORTICO B: 5 CRUJIAS, 6 NIVELES (Semisotano+5 Niveles)



hs = 3.80 m L1 = 5.00 m f'c = 210 kg/cm²h1 = 2.40 m L2 = 3.00 mh2 = 2.40 m L3 = 6.58 m *Modulo de Elasticidad del Concreto:h3 = 2.40 m L4 = 3.95 mh4 = 2.40 m L5 = 3.38 m E = 2173706.51 tn/m²h5 = 2.40 m




K (-) =

*Brazos rigidos:

a = 0.00 m 0.00 m b= 0.20 m0.00 m



1 2 3 4 3 4 5 6543.43 1358.57 -543.43 1358.57 1 2515.86 3773.80 -2515.86 3773.80 3

K (1-3) = 1358.57 4528.56 -1358.57 2264.28 2 K (3-5) = 3773.80 7547.59 -3773.80 3773.80 4-543.43 -1358.57 543.43 -1358.57 3 -2515.86 -3773.80 2515.86 -3773.80 51358.57 2264.28 -1358.57 4528.56 4 3773.80 3773.80 -3773.80 7547.59 6

13 14 15 16 15 16 17 18543.43 1358.57 -543.43 1358.57 13 2515.86 3773.80 -2515.86 3773.80 15

K (13-15) = 1358.57 4528.56 -1358.57 2264.28 14 K (15-17) = 3773.80 7547.59 -3773.80 3773.80 16-543.43 -1358.57 543.43 -1358.57 15 -2515.86 -3773.80 2515.86 -3773.80 171358.57 2264.28 -1358.57 4528.56 16 3773.80 3773.80 -3773.80 7547.59 18

25 26 27 28 27 28 29 30543.43 1358.57 -543.43 1358.57 25 2515.86 3773.80 -2515.86 3773.80 27

K (25-27) = 1358.57 4528.56 -1358.57 2264.28 26 K (27-29) = 3773.80 7547.59 -3773.80 3773.80 28-543.43 -1358.57 543.43 -1358.57 27 -2515.86 -3773.80 2515.86 -3773.80 291358.57 2264.28 -1358.57 4528.56 28 3773.80 3773.80 -3773.80 7547.59 30

37 38 39 40 39 40 41 42543.43 1358.57 -543.43 1358.57 37 2515.86 3773.80 -2515.86 3773.80 39

K (37-39) = 1358.57 4528.56 -1358.57 2264.28 38 K (39-41) = 3773.80 7547.59 -3773.80 3773.80 40-543.43 -1358.57 543.43 -1358.57 39 -2515.86 -3773.80 2515.86 -3773.80 411358.57 2264.28 -1358.57 4528.56 40 3773.80 3773.80 -3773.80 7547.59 42

49 50 51 52 51 52 53 54543.43 1358.57 -543.43 1358.57 49 2515.86 3773.80 -2515.86 3773.80 51

K (49-51) = 1358.57 4528.56 -1358.57 2264.28 50 K (51-53) = 3773.80 7547.59 -3773.80 3773.80 52-543.43 -1358.57 543.43 -1358.57 51 -2515.86 -3773.80 2515.86 -3773.80 531358.57 2264.28 -1358.57 4528.56 52 3773.80 3773.80 -3773.80 7547.59 54

61 62 63 64 63 64 65 66543.43 1358.57 -543.43 1358.57 61 2515.86 3773.80 -2515.86 3773.80 63

K (61-63) = 1358.57 4528.56 -1358.57 2264.28 62 K (63-65) = 3773.80 7547.59 -3773.80 3773.80 64-543.43 -1358.57 543.43 -1358.57 63 -2515.86 -3773.80 2515.86 -3773.80 651358.57 2264.28 -1358.57 4528.56 64 3773.80 3773.80 -3773.80 7547.59 66

3era Crujia 4ta Crujia 5ta Crujia

5 6 7 8 7 8 9 10 9 10 11 12238.44 784.46 -238.44 784.46 5 1102.20 2176.84 -1102.20 2176.84 7 1759.14 2972.95 -1759.14 2972.95 9

K (5-7) = 784.46 3441.15 -784.46 1720.58 6 K (7-9) = 2176.84 5732.35 -2176.84 2866.17 8 K (9-11) = 2972.95 6699.05 -2972.95 3349.52 10-238.44 -784.46 238.44 -784.46 7 -1102.20 -2176.84 1102.20 -2176.84 9 -1759.14 -2972.95 1759.14 -2972.95 11784.46 1720.58 -784.46 3441.15 8 2176.84 2866.17 -2176.84 5732.35 10 2972.95 3349.52 -2972.95 6699.05 12

17 18 19 20 19 20 21 22 21 22 23 24238.44 784.46 -238.44 784.46 17 1102.20 2176.84 -1102.20 2176.84 19 1759.14 2972.95 -1759.14 2972.95 21

K (17-19) = 784.46 3441.15 -784.46 1720.58 18 K (19-21) = 2176.84 5732.35 -2176.84 2866.17 20 K (21-23) = 2972.95 6699.05 -2972.95 3349.52 22-238.44 -784.46 238.44 -784.46 19 -1102.20 -2176.84 1102.20 -2176.84 21 -1759.14 -2972.95 1759.14 -2972.95 23784.46 1720.58 -784.46 3441.15 20 2176.84 2866.17 -2176.84 5732.35 22 2972.95 3349.52 -2972.95 6699.05 24

29 30 31 32 31 32 33 34 33 34 35 36238.44 784.46 -238.44 784.46 29 1102.20 2176.84 -1102.20 2176.84 31 1759.14 2972.95 -1759.14 2972.95 33

K (29-31) = 784.46 3441.15 -784.46 1720.58 30 K (31-33) = 2176.84 5732.35 -2176.84 2866.17 32 K (33-35) = 2972.95 6699.05 -2972.95 3349.52 34-238.44 -784.46 238.44 -784.46 31 -1102.20 -2176.84 1102.20 -2176.84 33 -1759.14 -2972.95 1759.14 -2972.95 35784.46 1720.58 -784.46 3441.15 32 2176.84 2866.17 -2176.84 5732.35 34 2972.95 3349.52 -2972.95 6699.05 36

41 42 43 44 43 44 45 46 45 46 47 48238.44 784.46 -238.44 784.46 41 1102.20 2176.84 -1102.20 2176.84 43 1759.14 2972.95 -1759.14 2972.95 45

K (41-43) = 784.46 3441.15 -784.46 1720.58 42 K (43-45) = 2176.84 5732.35 -2176.84 2866.17 44 K (45-47) = 2972.95 6699.05 -2972.95 3349.52 46-238.44 -784.46 238.44 -784.46 43 -1102.20 -2176.84 1102.20 -2176.84 45 -1759.14 -2972.95 1759.14 -2972.95 47784.46 1720.58 -784.46 3441.15 44 2176.84 2866.17 -2176.84 5732.35 46 2972.95 3349.52 -2972.95 6699.05 48

53 54 55 56 55 56 57 58 57 58 59 60238.44 784.46 -238.44 784.46 53 1102.20 2176.84 -1102.20 2176.84 55 1759.14 2972.95 -1759.14 2972.95 57

K (53-55) = 784.46 3441.15 -784.46 1720.58 54 K (55-57) = 2176.84 5732.35 -2176.84 2866.17 56 K (57-59) = 2972.95 6699.05 -2972.95 3349.52 58-238.44 -784.46 238.44 -784.46 55 -1102.20 -2176.84 1102.20 -2176.84 57 -1759.14 -2972.95 1759.14 -2972.95 59784.46 1720.58 -784.46 3441.15 56 2176.84 2866.17 -2176.84 5732.35 58 2972.95 3349.52 -2972.95 6699.05 60

65 66 67 68 67 68 69 70 69 70 71 72238.44 784.46 -238.44 784.46 65 1102.20 2176.84 -1102.20 2176.84 67 1759.14 2972.95 -1759.14 2972.95 69

K (65-67) = 784.46 3441.15 -784.46 1720.58 66 K (67-69) = 2176.84 5732.35 -2176.84 2866.17 68 K (69-71) = 2972.95 6699.05 -2972.95 3349.52 70-238.44 -784.46 238.44 -784.46 67 -1102.20 -2176.84 1102.20 -2176.84 69 -1759.14 -2972.95 1759.14 -2972.95 71784.46 1720.58 -784.46 3441.15 68 2176.84 2866.17 -2176.84 5732.35 70 2972.95 3349.52 -2972.95 6699.05 72


Semisotano

Ф = 0.00 Ф = 0.00aH aV aM 73 1 2 bH bV bM 73 3 4

1014.12 0.00 -1926.83 -1014.12 0.00 -1926.83 aH 1014.12 0.00 -1926.83 -1014.12 0.00 -1926.83 bH0.00 1220.33 0.00 0.00 -1220.33 0.00 aV 0.00 1220.33 0.00 0.00 -1220.33 0.00 bV

K (a-1) = -1926.83 0.00 4881.31 -1926.83 0.00 2440.65 aM K (b-3) = -1926.83 0.00 4881.31 -1926.83 0.00 2440.65 bM-1014.12 0.00 -1926.83 1014.12 0.00 1926.83 73 -1014.12 0.00 -1926.83 1014.12 0.00 1926.83 73

0.00 -1220.33 0.00 0.00 1220.33 0.00 1 0.00 -1220.33 0.00 0.00 1220.33 0.00 3-1926.83 0.00 2440.65 1926.83 0.00 4881.31 2 -1926.83 0.00 2440.65 1926.83 0.00 4881.31 4

Ф = 0.00 Ф = 0.00cH cV cM 73 5 6 dH dV dM 73 7 8

1624.43 0.00 -3086.41 -1624.43 0.00 -3086.41 cH 1624.43 0.00 -3086.41 -1624.43 0.00 -3086.41 dH0.00 1954.73 0.00 0.00 -1954.73 0.00 cV 0.00 1954.73 0.00 0.00 -1954.73 0.00 dV

K (c-5) = -3086.41 0.00 7818.91 -3086.41 0.00 3909.45 cM K (d-7) = -3086.41 0.00 7818.91 -3086.41 0.00 3909.45 dM-1624.43 0.00 -3086.41 1624.43 0.00 3086.41 73 -1624.43 0.00 -3086.41 1624.43 0.00 3086.41 73

0.00 -1954.73 0.00 0.00 1954.73 0.00 5 0.00 -1954.73 0.00 0.00 1954.73 0.00 7-3086.41 0.00 3909.45 3086.41 0.00 7818.91 6 -3086.41 0.00 3909.45 3086.41 0.00 7818.91 8

Ф = 0.00 Ф = 0.00eH eV eM 73 9 10 f H f V f M 73 11 12

1624.43 0.00 -3086.41 -1624.43 0.00 -3086.41 eH 1014.12 0.00 -1926.83 -1014.12 0.00 -1926.83 f H0.00 1954.73 0.00 0.00 -1954.73 0.00 eV 0.00 1220.33 0.00 0.00 -1220.33 0.00 f V

K (e-9) = -3086.41 0.00 7818.91 -3086.41 0.00 3909.45 eM K (f-11) = -1926.83 0.00 4881.31 -1926.83 0.00 2440.65 f M-1624.43 0.00 -3086.41 1624.43 0.00 3086.41 73 -1014.12 0.00 -1926.83 1014.12 0.00 1926.83 73

0.00 -1954.73 0.00 0.00 1954.73 0.00 9 0.00 -1220.33 0.00 0.00 1220.33 0.00 11-3086.41 0.00 3909.45 3086.41 0.00 7818.91 10 -1926.83 0.00 2440.65 1926.83 0.00 4881.31 12

1er Nivel

Ф = 0.00 Ф = 0.0073 1 2 74 13 14 73 3 4 74 15 16

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 73 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 730.00 1932.18 0.00 0.00 -1932.18 0.00 1 0.00 1932.18 0.00 0.00 -1932.18 0.00 3

K (1-13) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 2 K (3-15) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 4-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 74 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 74

0.00 -1932.18 0.00 0.00 1932.18 0.00 13 0.00 -1932.18 0.00 0.00 1932.18 0.00 15-4830.46 0.00 3864.37 4830.46 0.00 7728.73 14 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 16

Ф = 0.00 Ф = 0.0073 5 6 74 17 18 73 7 8 74 19 20

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 73 6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 730.00 3094.98 0.00 0.00 -3094.98 0.00 5 0.00 3094.98 0.00 0.00 -3094.98 0.00 7

K (5-17) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 6 K (7-19) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 8-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 74 -6447.88 0.00 -7737.46 6447.88 0.00 7737.46 74

0.00 -3094.98 0.00 0.00 3094.98 0.00 17 0.00 -3094.98 0.00 0.00 3094.98 0.00 19-7737.46 0.00 6189.97 7737.46 0.00 12379.94 18 -7737.46 0.00 6189.97 7737.46 0.00 12379.94 20

Ф = 0.00 Ф = 0.0073 9 10 74 21 22 73 11 12 74 23 24

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 73 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 730.00 3094.98 0.00 0.00 -3094.98 0.00 9 0.00 1932.18 0.00 0.00 -1932.18 0.00 11

K (9-21) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 10 K (11-23) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 12-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 74 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 74

0.00 -3094.98 0.00 0.00 3094.98 0.00 21 0.00 -1932.18 0.00 0.00 1932.18 0.00 23-7737.46 0.00 6189.97 7737.46 0.00 12379.94 22 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 24

2do Nivel

Ф = 0.00 Ф = 0.0074 13 14 75 25 26 74 15 16 75 27 28

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 74 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 740.00 1932.18 0.00 0.00 -1932.18 0.00 13 0.00 1932.18 0.00 0.00 -1932.18 0.00 15

K (13-25) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 14 K (15-27) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 16-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 75 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 75

0.00 -1932.18 0.00 0.00 1932.18 0.00 25 0.00 -1932.18 0.00 0.00 1932.18 0.00 27-4830.46 0.00 3864.37 4830.46 0.00 7728.73 26 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 28

Ф = 0.00 Ф = 0.0074 17 18 75 29 30 74 19 20 75 31 32

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 74 6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 740.00 3094.98 0.00 0.00 -3094.98 0.00 17 0.00 3094.98 0.00 0.00 -3094.98 0.00 19

K (17-29) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 18 K (19-31) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 20-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 75 -6447.88 0.00 -7737.46 6447.88 0.00 7737.46 75

0.00 -3094.98 0.00 0.00 3094.98 0.00 29 0.00 -3094.98 0.00 0.00 3094.98 0.00 31-7737.46 0.00 6189.97 7737.46 0.00 12379.94 30 -7737.46 0.00 6189.97 7737.46 0.00 12379.94 32

Ф = 0.00 Ф = 0.0074 21 22 75 33 34 74 23 24 75 35 36

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 74 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 740.00 3094.98 0.00 0.00 -3094.98 0.00 21 0.00 1932.18 0.00 0.00 -1932.18 0.00 23

K (21-33) =-7737.46 0.00 12379.94 -7737.46 0.00 6189.97 22

K (23-35) =-4830.46 0.00 7728.73 -4830.46 0.00 3864.37 24

-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 75 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 750.00 -3094.98 0.00 0.00 3094.98 0.00 33 0.00 -1932.18 0.00 0.00 1932.18 0.00 35

-7737.46 0.00 6189.97 7737.46 0.00 12379.94 34 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 36

3er Nivel

Ф = 0.00 Ф = 0.0075 25 26 76 37 38 75 27 28 76 39 40

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 75 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 750.00 1932.18 0.00 0.00 -1932.18 0.00 25 0.00 1932.18 0.00 0.00 -1932.18 0.00 27

K (25-37) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 26 K (27-39) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 28-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 76 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 76

0.00 -1932.18 0.00 0.00 1932.18 0.00 37 0.00 -1932.18 0.00 0.00 1932.18 0.00 39-4830.46 0.00 3864.37 4830.46 0.00 7728.73 38 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 40

Ф = 0.00 Ф = 0.0075 29 30 76 41 42 75 31 32 76 43 44

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 75 6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 750.00 3094.98 0.00 0.00 -3094.98 0.00 29 0.00 3094.98 0.00 0.00 -3094.98 0.00 31

K (29-41) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 30 K (31-43) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 32-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 76 -6447.88 0.00 -7737.46 6447.88 0.00 7737.46 76

0.00 -3094.98 0.00 0.00 3094.98 0.00 41 0.00 -3094.98 0.00 0.00 3094.98 0.00 43-7737.46 0.00 6189.97 7737.46 0.00 12379.94 42 -7737.46 0.00 6189.97 7737.46 0.00 12379.94 44

Ф = 0.00 Ф = 0.0075 33 34 76 45 46 75 35 36 76 47 48

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 75 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 750.00 3094.98 0.00 0.00 -3094.98 0.00 33 0.00 1932.18 0.00 0.00 -1932.18 0.00 35

K (33-45) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 34 K (35-47) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 36-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 76 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 76

0.00 -3094.98 0.00 0.00 3094.98 0.00 45 0.00 -1932.18 0.00 0.00 1932.18 0.00 47-7737.46 0.00 6189.97 7737.46 0.00 12379.94 46 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 48

4to Nivel

Ф = 0.00 Ф = 0.0076 37 38 77 49 50 76 39 40 77 51 52

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 76 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 760.00 1932.18 0.00 0.00 -1932.18 0.00 37 0.00 1932.18 0.00 0.00 -1932.18 0.00 39

K (37-49) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 38 K (39-51) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 40-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 77 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 77

0.00 -1932.18 0.00 0.00 1932.18 0.00 49 0.00 -1932.18 0.00 0.00 1932.18 0.00 51-4830.46 0.00 3864.37 4830.46 0.00 7728.73 50 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 52

Ф = 0.00 Ф = 0.0076 41 42 77 53 54 76 43 44 77 55 56

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 76 6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 760.00 3094.98 0.00 0.00 -3094.98 0.00 41 0.00 3094.98 0.00 0.00 -3094.98 0.00 43

K (41-53) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 42 K (43-55) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 44-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 77 -6447.88 0.00 -7737.46 6447.88 0.00 7737.46 77

0.00 -3094.98 0.00 0.00 3094.98 0.00 53 0.00 -3094.98 0.00 0.00 3094.98 0.00 55-7737.46 0.00 6189.97 7737.46 0.00 12379.94 54 -7737.46 0.00 6189.97 7737.46 0.00 12379.94 56

Ф = 0.00 Ф = 0.0076 45 46 77 57 58 76 47 48 77 59 60

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 76 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 760.00 3094.98 0.00 0.00 -3094.98 0.00 45 0.00 1932.18 0.00 0.00 -1932.18 0.00 47

K (45-57) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 46 K (47-59) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 48-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 77 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 77

0.00 -3094.98 0.00 0.00 3094.98 0.00 57 0.00 -1932.18 0.00 0.00 1932.18 0.00 59-7737.46 0.00 6189.97 7737.46 0.00 12379.94 58 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 60

5to Nivel

Ф = 0.00 Ф = 0.0077 49 50 78 61 62 77 51 52 78 63 64

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 77 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 770.00 1932.18 0.00 0.00 -1932.18 0.00 49 0.00 1932.18 0.00 0.00 -1932.18 0.00 51

K (49-61) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 50 K (51-63) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 52-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 78 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 78

0.00 -1932.18 0.00 0.00 1932.18 0.00 61 0.00 -1932.18 0.00 0.00 1932.18 0.00 63-4830.46 0.00 3864.37 4830.46 0.00 7728.73 62 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 64

Ф = 0.00 Ф = 0.0077 53 54 78 65 66 77 55 56 78 67 68

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 77 6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 770.00 3094.98 0.00 0.00 -3094.98 0.00 53 0.00 3094.98 0.00 0.00 -3094.98 0.00 55

K (53-65) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 54 K (55-67) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 56-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 78 -6447.88 0.00 -7737.46 6447.88 0.00 7737.46 78

0.00 -3094.98 0.00 0.00 3094.98 0.00 65 0.00 -3094.98 0.00 0.00 3094.98 0.00 67-7737.46 0.00 6189.97 7737.46 0.00 12379.94 66 -7737.46 0.00 6189.97 7737.46 0.00 12379.94 68

Ф = 0.00 Ф = 0.0077 57 58 78 69 70 77 59 60 78 71 72

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 77 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 770.00 3094.98 0.00 0.00 -3094.98 0.00 57 0.00 1932.18 0.00 0.00 -1932.18 0.00 59

K (57-69) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 58 K (59-71) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 60-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 78 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 78

0.00 -3094.98 0.00 0.00 3094.98 0.00 69 0.00 -1932.18 0.00 0.00 1932.18 0.00 71-7737.46 0.00 6189.97 7737.46 0.00 12379.94 70 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 72


1 2 3 4 5 6 7 8 9 10 11 12 13 14 151 3695.94 1358.57 -543.43 1358.57 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.002 1358.57 17138.60 -1358.57 2264.28 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.003 -543.43 -1358.57 6211.80 2415.23 -2515.86 3773.80 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.184 1358.57 2264.28 2415.23 24686.19 -3773.80 3773.80 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.005 0.00 0.00 -2515.86 -3773.80 7804.01 -2989.34 -238.44 784.46 0.00 0.00 0.00 0.00 0.00 0.00 0.006 0.00 0.00 3773.80 3773.80 -2989.34 31187.59 -784.46 1720.58 0.00 0.00 0.00 0.00 0.00 0.00 0.007 0.00 0.00 0.00 0.00 -238.44 -784.46 6390.35 1392.38 -1102.20 2176.84 0.00 0.00 0.00 0.00 0.008 0.00 0.00 0.00 0.00 784.46 1720.58 1392.38 29372.35 -2176.84 2866.17 0.00 0.00 0.00 0.00 0.009 0.00 0.00 0.00 0.00 0.00 0.00 -1102.20 -2176.84 7911.05 796.11 -1759.14 2972.95 0.00 0.00 0.00

10 0.00 0.00 0.00 0.00 0.00 0.00 2176.84 2866.17 796.11 32630.24 -2972.95 3349.52 0.00 0.00 0.0011 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1759.14 -2972.95 4911.65 -2972.95 0.00 0.00 0.0012 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2972.95 3349.52 -2972.95 19309.09 0.00 0.00 0.0013 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 4407.79 1358.57 -543.4314 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1358.57 19986.02 -1358.5715 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -543.43 -1358.57 6923.6616 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1358.57 2264.28 2415.2317 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2515.8618 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3773.8019 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0020 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.0021 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.0022 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.0023 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.0024 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.0025 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.0026 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.0027 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.1828 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0029 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0030 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0031 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0032 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0033 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0034 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0035 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0036 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0037 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

[K] =38 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0039 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0040 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0041 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0042 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0043 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0044 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0045 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0046 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0047 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0048 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0049 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0050 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0051 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0052 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0053 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0054 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0055 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0056 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0057 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0058 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0059 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0060 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0061 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0062 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0063 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0064 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0065 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0066 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0067 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0068 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0069 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0070 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0071 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0072 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0073 0.00 -2903.63 0.00 -2903.63 0.00 -4651.05 0.00 -4651.05 0.00 -4651.05 0.00 -2903.63 0.00 -4830.46 0.0074 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 -7737.46 0.00 -7737.46 0.00 -4830.46 0.00 0.00 0.0075 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.0076 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0077 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0078 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

[K] = Kvv kvu

Kuv kuu

1 2 3 4 5 6 7 8 9 10 11 12 13 14 151 3695.94 1358.57 -543.43 1358.57 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.002 1358.57 17138.60 -1358.57 2264.28 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.003 -543.43 -1358.57 6211.80 2415.23 -2515.86 3773.80 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.184 1358.57 2264.28 2415.23 24686.19 -3773.80 3773.80 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.005 0.00 0.00 -2515.86 -3773.80 7804.01 -2989.34 -238.44 784.46 0.00 0.00 0.00 0.00 0.00 0.00 0.006 0.00 0.00 3773.80 3773.80 -2989.34 31187.59 -784.46 1720.58 0.00 0.00 0.00 0.00 0.00 0.00 0.007 0.00 0.00 0.00 0.00 -238.44 -784.46 6390.35 1392.38 -1102.20 2176.84 0.00 0.00 0.00 0.00 0.008 0.00 0.00 0.00 0.00 784.46 1720.58 1392.38 29372.35 -2176.84 2866.17 0.00 0.00 0.00 0.00 0.009 0.00 0.00 0.00 0.00 0.00 0.00 -1102.20 -2176.84 7911.05 796.11 -1759.14 2972.95 0.00 0.00 0.00

10 0.00 0.00 0.00 0.00 0.00 0.00 2176.84 2866.17 796.11 32630.24 -2972.95 3349.52 0.00 0.00 0.0011 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1759.14 -2972.95 4911.65 -2972.95 0.00 0.00 0.0012 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2972.95 3349.52 -2972.95 19309.09 0.00 0.00 0.0013 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 4407.79 1358.57 -543.4314 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1358.57 19986.02 -1358.5715 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -543.43 -1358.57 6923.6616 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1358.57 2264.28 2415.2317 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2515.8618 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3773.8019 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0020 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.0021 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.0022 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.0023 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.0024 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.0025 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.0026 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.0027 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.1828 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0029 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0030 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0031 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0032 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0033 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0034 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

[Kvv] =35 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0036 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0037 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0038 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0039 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0040 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0041 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0042 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0043 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0044 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0045 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0046 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0047 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0048 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0049 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0050 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0051 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0052 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0053 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0054 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0055 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0056 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0057 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0058 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0059 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0060 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0061 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0062 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0063 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0064 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0065 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0066 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0067 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0068 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0069 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0070 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0071 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0072 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

73 0.00 -2903.63 0.00 -2903.63 0.00 -4651.05 0.00 -4651.05 0.00 -4651.05 0.00 -2903.63 0.00 -4830.46 0.0074 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 -7737.46 0.00 -7737.46 0.00 -4830.46 0.00 0.00 0.00

[Kuv] = 75 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.0076 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0077 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0078 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

5.08E-04 -2.50E-05 1.28E-04 -2.48E-05 7.07E-05 -4.32E-06 2.10E-05 -1.18E-06 1.47E-05 -3.50E-07 1.32E-05 -1.37E-07 3.83E-04 -8.05E-06 1.55E-04-2.50E-05 6.54E-05 1.74E-05 -6.00E-06 3.98E-06 -9.82E-07 3.92E-07 -3.19E-08 2.31E-07 -8.71E-09 1.97E-07 -3.02E-09 -1.10E-05 -1.26E-05 2.53E-061.28E-04 1.74E-05 3.30E-04 -1.24E-05 1.65E-04 -2.11E-05 3.01E-05 -2.48E-06 1.94E-05 -5.42E-07 1.72E-05 -1.98E-07 1.56E-04 1.10E-06 2.25E-04-2.48E-05 -6.00E-06 -1.24E-05 4.81E-05 2.09E-05 -2.61E-06 1.55E-06 -3.96E-07 5.66E-07 -3.09E-08 4.64E-07 -7.89E-09 -1.44E-05 2.78E-06 -8.35E-077.07E-05 3.98E-06 1.65E-04 2.09E-05 2.81E-04 6.24E-06 4.64E-05 -7.60E-06 2.38E-05 -8.93E-07 2.05E-05 -2.65E-07 1.06E-04 3.32E-06 1.80E-04-4.32E-06 -9.82E-07 -2.11E-05 -2.61E-06 6.24E-06 3.72E-05 7.56E-06 -2.77E-06 1.44E-06 -1.66E-07 1.03E-06 -2.28E-08 -4.85E-06 -1.93E-08 -4.82E-062.10E-05 3.92E-07 3.01E-05 1.55E-06 4.64E-05 7.56E-06 2.85E-04 -5.88E-06 1.06E-04 -1.39E-05 6.76E-05 -3.05E-06 3.30E-05 5.56E-07 4.68E-05-1.18E-06 -3.19E-08 -2.48E-06 -3.96E-07 -7.60E-06 -2.77E-06 -5.88E-06 3.74E-05 1.30E-05 -2.99E-06 4.44E-06 -7.90E-07 -1.86E-06 -8.34E-08 -3.63E-061.47E-05 2.31E-07 1.94E-05 5.66E-07 2.38E-05 1.44E-06 1.06E-04 1.30E-05 2.64E-04 8.22E-07 1.54E-04 -1.70E-05 2.32E-05 2.95E-07 3.06E-05-3.50E-07 -8.71E-09 -5.42E-07 -3.09E-08 -8.93E-07 -1.66E-07 -1.39E-05 -2.99E-06 8.22E-07 3.53E-05 2.32E-05 -3.14E-06 -5.46E-07 -1.07E-08 -8.39E-071.32E-05 1.97E-07 1.72E-05 4.64E-07 2.05E-05 1.03E-06 6.76E-05 4.44E-06 1.54E-04 2.32E-05 4.01E-04 3.28E-05 2.08E-05 2.55E-07 2.72E-05-1.37E-07 -3.02E-09 -1.98E-07 -7.89E-09 -2.65E-07 -2.28E-08 -3.05E-06 -7.90E-07 -1.70E-05 -3.14E-06 3.28E-05 6.21E-05 -2.15E-07 -3.37E-09 -3.06E-073.83E-04 -1.10E-05 1.56E-04 -1.44E-05 1.06E-04 -4.85E-06 3.30E-05 -1.86E-06 2.32E-05 -5.46E-07 2.08E-05 -2.15E-07 6.71E-04 -2.26E-05 2.34E-04-8.05E-06 -1.26E-05 1.10E-06 2.78E-06 3.32E-06 -1.93E-08 5.56E-07 -8.34E-08 2.95E-07 -1.07E-08 2.55E-07 -3.37E-09 -2.26E-05 5.77E-05 1.38E-051.55E-04 2.53E-06 2.25E-04 -8.35E-07 1.80E-04 -4.82E-06 4.68E-05 -3.63E-06 3.06E-05 -8.39E-07 2.72E-05 -3.06E-07 2.34E-04 1.38E-05 4.32E-04-1.20E-05 2.79E-06 -5.04E-07 -5.83E-06 4.96E-06 1.79E-06 1.65E-06 -2.03E-07 7.76E-07 -4.53E-08 6.27E-07 -1.23E-08 -2.49E-05 -4.95E-06 -1.05E-051.07E-04 4.09E-06 1.80E-04 6.31E-06 2.15E-04 -1.08E-06 6.00E-05 -4.07E-06 3.72E-05 -1.30E-06 3.22E-05 -4.41E-07 1.61E-04 4.05E-06 2.73E-04-4.03E-06 -4.07E-08 -3.24E-06 1.76E-06 -9.81E-07 -6.42E-06 2.80E-06 8.91E-07 1.90E-06 -1.70E-07 1.32E-06 -5.49E-08 -5.59E-06 -5.73E-07 -1.83E-053.29E-05 6.49E-07 4.63E-05 1.86E-06 6.01E-05 3.84E-06 2.10E-04 -7.66E-07 1.29E-04 -5.33E-06 1.01E-04 -2.80E-06 5.17E-05 7.47E-07 7.08E-05-1.53E-06 -8.29E-08 -2.97E-06 -1.73E-07 -2.98E-06 8.96E-07 -4.87E-07 -6.83E-06 3.55E-06 1.42E-06 4.35E-06 -3.54E-08 -2.27E-06 -3.62E-08 -3.63E-062.32E-05 3.56E-07 3.05E-05 8.93E-07 3.74E-05 2.28E-06 1.29E-04 4.98E-06 2.01E-04 2.01E-06 1.77E-04 -1.54E-06 3.67E-05 4.64E-07 4.82E-05-4.63E-07 -1.07E-08 -7.14E-07 -4.55E-08 -1.15E-06 -1.79E-07 -3.98E-06 1.41E-06 1.62E-06 -5.47E-06 6.81E-06 2.34E-06 -7.25E-07 -1.43E-08 -1.07E-062.09E-05 3.08E-07 2.71E-05 7.23E-07 3.24E-05 1.60E-06 1.01E-04 5.26E-06 1.76E-04 8.79E-06 2.75E-04 8.18E-06 3.30E-05 4.01E-07 4.29E-05-1.82E-07 -3.45E-09 -2.60E-07 -1.24E-08 -3.85E-07 -5.50E-08 -2.35E-06 -4.96E-08 -5.73E-07 2.32E-06 5.75E-06 -1.03E-05 -2.87E-07 -4.82E-09 -4.05E-073.08E-04 -7.74E-06 1.64E-04 -9.92E-06 1.27E-04 -4.15E-06 4.27E-05 -2.25E-06 3.04E-05 -6.98E-07 2.74E-05 -2.77E-07 5.30E-04 -1.04E-05 2.60E-04-6.48E-06 3.17E-06 1.49E-06 -1.87E-07 1.92E-06 4.79E-08 6.03E-07 -3.82E-08 3.85E-07 -1.26E-08 3.36E-07 -4.30E-09 -1.07E-05 -1.12E-05 1.75E-061.63E-04 1.71E-06 1.89E-04 -5.33E-07 1.73E-04 -3.68E-06 5.72E-05 -3.16E-06 3.98E-05 -9.93E-07 3.55E-05 -3.83E-07 2.60E-04 1.65E-06 3.27E-04-8.56E-06 -1.66E-07 -5.39E-07 1.81E-06 2.85E-06 -1.62E-07 1.40E-06 -2.69E-08 9.36E-07 -3.14E-08 8.01E-07 -1.26E-08 -1.51E-05 2.50E-06 -9.75E-071.27E-04 2.35E-06 1.73E-04 3.27E-06 1.83E-04 -1.49E-06 6.80E-05 -3.49E-06 4.71E-05 -1.20E-06 4.18E-05 -4.85E-07 1.99E-04 3.65E-06 2.81E-04-3.45E-06 5.29E-08 -3.13E-06 -1.63E-07 -1.14E-06 1.49E-06 2.44E-06 -2.04E-07 1.82E-06 -1.50E-08 1.59E-06 -2.43E-08 -5.81E-06 -2.31E-08 -4.92E-064.26E-05 7.11E-07 5.69E-05 1.61E-06 6.80E-05 2.96E-06 1.71E-04 2.49E-07 1.36E-04 -2.89E-06 1.19E-04 -1.54E-06 6.72E-05 9.03E-07 8.95E-05-1.86E-06 -3.70E-08 -2.57E-06 -2.65E-08 -2.88E-06 -2.06E-07 1.42E-07 1.62E-06 3.31E-06 -1.61E-07 3.50E-06 6.23E-08 -2.88E-06 -6.95E-08 -4.39E-063.04E-05 4.56E-07 3.96E-05 1.07E-06 4.73E-05 2.21E-06 1.36E-04 3.97E-06 1.76E-04 1.78E-06 1.74E-04 -4.78E-07 4.82E-05 5.86E-07 6.27E-05-6.01E-07 -1.29E-08 -8.52E-07 -3.04E-08 -1.03E-06 -1.59E-08 -2.44E-06 -1.59E-07 1.50E-06 1.50E-06 4.60E-06 -1.95E-07 -9.40E-07 -1.34E-08 -1.29E-062.74E-05 3.99E-07 3.54E-05 9.17E-07 4.20E-05 1.92E-06 1.19E-04 4.24E-06 1.74E-04 5.38E-06 2.19E-04 4.67E-06 4.33E-05 5.19E-07 5.62E-05-2.39E-07 -4.36E-09 -3.29E-07 -1.23E-08 -4.20E-07 -2.59E-08 -1.27E-06 6.29E-08 -4.80E-07 -1.95E-07 4.05E-06 2.57E-06 -3.76E-07 -5.13E-09 -5.06E-072.63E-04 -5.02E-06 1.66E-04 -6.94E-06 1.38E-04 -3.67E-06 4.98E-05 -2.43E-06 3.59E-05 -7.98E-07 3.24E-05 -3.22E-07 4.48E-04 -7.66E-06 2.68E-04-4.15E-06 -3.49E-07 2.16E-07 4.24E-07 1.15E-06 3.42E-08 6.03E-07 -2.10E-08 4.49E-07 -9.44E-09 4.05E-07 -4.07E-09 -7.95E-06 2.83E-06 1.20E-061.66E-04 3.60E-07 1.73E-04 -4.70E-07 1.64E-04 -2.58E-06 6.38E-05 -2.91E-06 4.64E-05 -1.02E-06 4.19E-05 -4.17E-07 2.68E-04 1.19E-06 2.90E-04-5.99E-06 4.33E-07 -4.35E-07 2.17E-07 1.18E-06 1.97E-07 1.26E-06 -2.57E-08 1.00E-06 -1.67E-08 9.10E-07 -8.52E-09 -1.09E-05 -9.74E-08 -9.06E-071.38E-04 1.41E-06 1.64E-04 1.40E-06 1.66E-04 -1.75E-06 7.27E-05 -2.83E-06 5.40E-05 -1.13E-06 4.88E-05 -4.76E-07 2.20E-04 2.06E-06 2.70E-04-3.10E-06 3.32E-08 -2.14E-06 1.94E-07 -1.45E-06 -1.33E-07 1.82E-06 1.27E-07 1.83E-06 -2.06E-08 1.71E-06 -1.04E-08 -5.16E-06 7.55E-08 -4.16E-064.98E-05 6.98E-07 6.36E-05 1.44E-06 7.28E-05 2.21E-06 1.51E-04 8.94E-07 1.37E-04 -1.24E-06 1.28E-04 -8.46E-07 7.88E-05 9.25E-07 1.01E-04-2.05E-06 -2.10E-08 -2.44E-06 -2.30E-08 -2.34E-06 1.27E-07 7.52E-07 -1.26E-07 2.50E-06 1.94E-07 3.03E-06 3.14E-08 -3.27E-06 -3.01E-08 -3.98E-063.60E-05 5.15E-07 4.63E-05 1.14E-06 5.41E-05 2.17E-06 1.37E-04 3.02E-06 1.64E-04 1.49E-06 1.68E-04 4.04E-07 5.70E-05 6.73E-07 7.35E-05-6.94E-07 -9.59E-09 -8.81E-07 -1.65E-08 -9.78E-07 -2.15E-08 -1.01E-06 1.95E-07 1.26E-06 -1.52E-08 2.74E-06 2.64E-07 -1.10E-06 -1.35E-08 -1.42E-063.24E-05 4.64E-07 4.17E-05 1.04E-06 4.89E-05 2.03E-06 1.29E-04 3.60E-06 1.68E-04 3.23E-06 1.92E-04 2.21E-06 5.13E-05 6.06E-07 6.62E-05-2.84E-07 -4.13E-09 -3.65E-07 -8.38E-09 -4.16E-07 -1.05E-08 -7.03E-07 3.07E-08 3.82E-07 2.63E-07 1.83E-06 -2.72E-07 -4.49E-07 -5.30E-09 -5.79E-072.38E-04 -3.75E-06 1.66E-04 -5.32E-06 1.43E-04 -3.33E-06 5.42E-05 -2.51E-06 3.95E-05 -8.55E-07 3.56E-05 -3.50E-07 4.02E-04 -5.47E-06 2.70E-04-2.67E-06 2.66E-07 -7.05E-09 1.37E-07 5.42E-07 4.13E-08 4.90E-07 -6.81E-09 4.06E-07 -5.91E-09 3.75E-07 -2.88E-09 -4.82E-06 -3.23E-07 8.86E-081.66E-04 1.51E-08 1.65E-04 -6.70E-07 1.58E-04 -2.31E-06 6.76E-05 -2.68E-06 5.07E-05 -1.01E-06 4.60E-05 -4.29E-07 2.70E-04 1.20E-07 2.74E-04-4.39E-06 1.64E-07 -6.20E-07 3.01E-07 4.18E-07 6.54E-08 1.10E-06 1.02E-08 1.01E-06 -8.98E-09 9.54E-07 -5.39E-09 -7.89E-06 4.22E-07 -9.16E-071.43E-04 7.99E-07 1.58E-04 5.85E-07 1.56E-04 -1.71E-06 7.55E-05 -2.51E-06 5.84E-05 -1.05E-06 5.34E-05 -4.59E-07 2.30E-04 1.30E-06 2.61E-04-2.44E-06 4.51E-08 -1.66E-06 5.86E-08 -1.20E-06 1.32E-07 1.33E-06 4.34E-08 1.50E-06 7.92E-09 1.49E-06 -1.91E-09 -4.13E-06 4.17E-08 -2.79E-065.44E-05 6.71E-07 6.76E-05 1.30E-06 7.56E-05 1.86E-06 1.40E-04 1.12E-06 1.37E-04 -5.04E-07 1.32E-04 -4.20E-07 8.65E-05 9.07E-07 1.09E-04-1.76E-06 -7.03E-09 -1.88E-06 7.33E-09 -1.76E-06 4.18E-08 7.61E-07 1.64E-07 1.88E-06 5.36E-08 2.24E-06 3.90E-08 -2.85E-06 -1.30E-08 -3.15E-063.96E-05 5.47E-07 5.05E-05 1.17E-06 5.83E-05 2.08E-06 1.37E-04 2.66E-06 1.58E-04 1.28E-06 1.63E-04 4.90E-07 6.28E-05 7.21E-07 8.05E-05-7.04E-07 -6.67E-09 -8.29E-07 -8.45E-09 -8.47E-07 9.54E-09 -3.47E-07 5.90E-08 1.02E-06 1.55E-07 1.81E-06 4.63E-08 -1.12E-06 -9.54E-09 -1.35E-063.57E-05 5.03E-07 4.57E-05 1.10E-06 5.32E-05 2.06E-06 1.33E-04 3.15E-06 1.64E-04 2.30E-06 1.78E-04 1.40E-06 5.65E-05 6.60E-07 7.27E-05-2.88E-07 -3.23E-09 -3.50E-07 -5.08E-09 -3.73E-07 -1.96E-09 -3.10E-07 4.16E-08 3.92E-07 4.68E-08 1.10E-06 1.53E-07 -4.58E-07 -4.53E-09 -5.67E-072.28E-04 -3.24E-06 1.66E-04 -4.70E-06 1.45E-04 -3.19E-06 5.59E-05 -2.53E-06 4.09E-05 -8.77E-07 3.69E-05 -3.61E-07 3.85E-04 -4.79E-06 2.71E-04-4.82E-06 2.01E-07 -1.63E-07 3.23E-07 9.08E-07 7.08E-08 9.47E-07 -9.18E-09 7.96E-07 -1.09E-08 7.37E-07 -5.59E-09 -8.81E-06 5.58E-07 4.97E-081.67E-04 -1.86E-07 1.63E-04 -8.01E-07 1.56E-04 -2.23E-06 6.86E-05 -2.61E-06 5.19E-05 -1.01E-06 4.72E-05 -4.31E-07 2.73E-04 -8.12E-08 2.69E-04-6.31E-06 2.89E-07 -1.03E-06 3.58E-07 3.58E-07 1.27E-07 1.68E-06 1.85E-08 1.59E-06 -9.67E-09 1.52E-06 -7.08E-09 -1.13E-05 3.60E-07 -1.53E-061.44E-04 5.94E-07 1.55E-04 3.14E-07 1.52E-04 -1.66E-06 7.72E-05 -2.35E-06 6.08E-05 -1.01E-06 5.59E-05 -4.51E-07 2.32E-04 9.77E-07 2.55E-04-4.70E-06 7.01E-08 -3.30E-06 1.37E-07 -2.55E-06 1.39E-07 2.60E-06 1.32E-07 3.04E-06 1.54E-08 3.05E-06 3.04E-10 -7.91E-06 1.01E-07 -5.56E-065.69E-05 6.60E-07 6.98E-05 1.24E-06 7.72E-05 1.69E-06 1.36E-04 1.18E-06 1.36E-04 -2.26E-07 1.33E-04 -2.64E-07 9.05E-05 9.01E-07 1.12E-04-3.72E-06 -9.94E-09 -3.88E-06 1.61E-08 -3.57E-06 1.33E-07 1.83E-06 1.87E-07 3.74E-06 1.34E-07 4.40E-06 5.89E-08 -6.02E-06 -2.13E-08 -6.48E-06

[K-1vv] =

4.11E-05 5.59E-07 5.22E-05 1.18E-06 6.00E-05 2.05E-06 1.37E-04 2.51E-06 1.56E-04 1.18E-06 1.61E-04 5.13E-07 6.51E-05 7.40E-07 8.32E-05-1.22E-06 -1.04E-08 -1.41E-06 -1.05E-08 -1.42E-06 1.61E-08 -3.47E-07 1.31E-07 1.68E-06 1.49E-07 2.76E-06 1.14E-07 -1.95E-06 -1.56E-08 -2.31E-063.68E-05 5.17E-07 4.72E-05 1.12E-06 5.48E-05 2.07E-06 1.34E-04 3.00E-06 1.62E-04 1.98E-06 1.74E-04 1.12E-06 5.84E-05 6.79E-07 7.51E-05-5.08E-07 -5.47E-09 -6.11E-07 -7.72E-09 -6.40E-07 8.85E-10 -4.05E-07 5.99E-08 7.41E-07 1.18E-07 1.61E-06 5.66E-08 -8.08E-07 -7.74E-09 -9.93E-07

0.3165 -0.1189 0.1502 -0.1053 -0.0595 -0.1128 0.0735 -0.1069 -0.0812 -0.1185 -0.3591 -0.1292 0.4055 -0.2207 0.20310.4064 -0.2933 0.2112 -0.1861 -0.0832 -0.2564 0.0949 -0.2485 -0.0954 -0.2424 -0.4836 -0.2803 0.3809 0.0913 0.14590.2396 0.0482 0.0970 -0.0014 0.0290 0.0350 -0.0041 0.0352 -0.1092 0.0193 -0.2016 0.0317 0.4641 -0.2633 0.23930.1931 -0.0168 0.0861 -0.0086 0.0447 -0.0111 -0.0244 -0.0120 -0.0981 -0.0110 -0.1546 -0.0125 0.3272 0.0421 0.1439

0.2263 -0.0031 0.1202 -0.0086 0.0829 -0.0040 -0.0600 -0.0053 -0.1326 -0.0052 -0.1707 -0.0024 0.3907 -0.0183 0.1984-0.0572 0.0004 -0.0367 0.0018 -0.0287 0.0013 0.0226 0.0015 0.0378 0.0009 0.0431 0.0002 -0.0976 0.0043 -0.0599

10065.64 3547.95 7859.14 -660.75 645.36 -136.853547.95 17993.41 -3027.49 8996.09 -547.91 108.857859.14 -3027.49 17080.09 -2833.15 9519.60 -1821.57-660.75 8996.09 -2833.15 17221.20 -2876.68 9643.70645.36 -547.91 9519.60 -2876.68 23090.27 -16256.41-136.85 108.85 -1821.57 9643.70 -16256.41 24041.09


39335.45 -31419.80 0.00 0.00 0.00 0.00 10065.64 3547.95 7859.14 -660.75 645.36 -136.85-31419.80 62839.60 -31419.80 0.00 0.00 0.00 3547.95 17993.41 -3027.49 8996.09 -547.91 108.85

= 0.00 -31419.80 62839.60 -31419.80 0.00 0.00 - 7859.14 -3027.49 17080.09 -2833.15 9519.60 -1821.570.00 0.00 -31419.80 62839.60 -31419.80 0.00 -660.75 8996.09 -2833.15 17221.20 -2876.68 9643.700.00 0.00 0.00 -31419.80 62839.60 -31419.80 645.36 -547.91 9519.60 -2876.68 23090.27 -16256.410.00 0.00 0.00 0.00 -31419.80 31419.80 -136.85 108.85 -1821.57 9643.70 -16256.41 24041.09

29269.81 -34967.75 -7859.14 660.75 -645.36 136.85-34967.75 44846.19 -28392.31 -8996.09 547.91 -108.85

[ KL B] = -7859.14 -28392.31 45759.51 -28586.65 -9519.60 1821.57660.75 -8996.09 -28586.65 45618.40 -28543.12 -9643.70-645.36 547.91 -9519.60 -28543.12 39749.33 -15163.39136.85 -108.85 1821.57 -9643.70 -15163.39 7378.71

[Kuv]*[K-1vv] =


16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 330.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1358.57 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.002264.28 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.002415.23 -2515.86 3773.80 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00

27533.62 -3773.80 3773.80 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00-3773.80 8944.27 -2989.34 -238.44 784.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.003773.80 -2989.34 35748.62 -784.46 1720.58 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00

0.00 -238.44 -784.46 7530.60 1392.38 -1102.20 2176.84 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.000.00 784.46 1720.58 1392.38 33933.38 -2176.84 2866.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.000.00 0.00 0.00 -1102.20 -2176.84 9051.31 796.11 -1759.14 2972.95 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.980.00 0.00 0.00 2176.84 2866.17 796.11 37191.27 -2972.95 3349.52 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 -1759.14 -2972.95 5623.51 -2972.95 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 2972.95 3349.52 -2972.95 22156.51 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 4407.79 1358.57 -543.43 1358.57 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1358.57 19986.02 -1358.57 2264.28 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -543.43 -1358.57 6923.66 2415.23 -2515.86 3773.80 0.00 0.00 0.00

3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1358.57 2264.28 2415.23 27533.62 -3773.80 3773.80 0.00 0.00 0.000.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2515.86 -3773.80 8944.27 -2989.34 -238.44 784.46 0.000.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3773.80 3773.80 -2989.34 35748.62 -784.46 1720.58 0.000.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -238.44 -784.46 7530.60 1392.38 -1102.200.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 784.46 1720.58 1392.38 33933.38 -2176.840.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1102.20 -2176.84 9051.310.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2176.84 2866.17 796.110.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1759.140.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2972.950.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.980.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

-4830.46 0.00 -7737.46 0.00 -7737.46 0.00 -7737.46 0.00 -4830.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 -7737.46 0.00

-4830.46 0.00 -7737.46 0.00 -7737.46 0.00 -7737.46 0.00 -4830.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 -7737.46 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0016 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33

16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 330.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1358.57 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.002264.28 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.002415.23 -2515.86 3773.80 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00

27533.62 -3773.80 3773.80 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00-3773.80 8944.27 -2989.34 -238.44 784.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.003773.80 -2989.34 35748.62 -784.46 1720.58 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00

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-0.0063 0.0677 -0.0024 -0.0483 -0.0030 -0.1124 -0.0035 -0.1472 -0.0016 0.1835 -0.0070 0.1009 -0.0084 0.0693 -0.0066 -0.0527 -0.0079 -0.1087-0.0103 0.0942 -0.0116 -0.0627 -0.0125 -0.1704 -0.0109 -0.2399 -0.0116 0.2874 -0.0072 0.1519 -0.0149 0.0999 -0.0080 -0.0731 -0.0102 -0.1659-0.0057 0.1068 0.0291 -0.0613 0.0289 -0.2311 0.0155 -0.3588 0.0279 0.4255 -0.0335 0.2059 -0.0223 0.1193 -0.0228 -0.0772 -0.0257 -0.2274-0.1735 0.0350 -0.2360 -0.0002 -0.2322 -0.2549 -0.2196 -0.6195 -0.2498 0.5353 0.0576 0.2467 -0.0236 0.1207 0.0369 -0.0719 0.0347 -0.2756

-0.0154 0.1859 0.0731 -0.0728 0.0696 -0.4805 0.0359 -0.8315 0.0690 1.3078 -0.4520 0.6264 -0.2748 0.0499 -0.3728 0.0560 -0.3553 -0.4905-0.1516 -0.1478 -0.2690 0.0796 -0.2609 0.1857 -0.2286 0.1241 -0.2799 -0.6721 0.4857 -0.3434 0.2456 0.0796 0.3965 -0.1248 0.3762 0.1736

70 71 72 73 74 75 76 77 780.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 10.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 20.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 40.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 50.00 0.00 0.00 -4651.05 -7737.46 0.00 0.00 0.00 0.00 60.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 70.00 0.00 0.00 -4651.05 -7737.46 0.00 0.00 0.00 0.00 80.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 90.00 0.00 0.00 -4651.05 -7737.46 0.00 0.00 0.00 0.00 100.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 110.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 120.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 130.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 140.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 150.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 160.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 170.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.00 180.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 190.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.00 200.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 210.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.00 220.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 230.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 240.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 250.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 260.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 270.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 280.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 290.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 300.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 310.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 320.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 330.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 340.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 350.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 360.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 370.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 380.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 390.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 400.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 410.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 420.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 430.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 440.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 450.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 460.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 470.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 480.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 490.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 500.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 510.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 520.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 530.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 540.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 550.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 560.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 57

6189.97 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 580.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 590.00 0.00 3864.37 0.00 0.00 0.00 -4830.46 0.00 -4830.46 600.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 610.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 4830.46 620.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 630.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 4830.46 640.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 650.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 7737.46 66

2176.84 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 672866.17 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 7737.46 68796.11 -1759.14 2972.95 0.00 0.00 0.00 0.00 0.00 0.00 69

24811.33 -2972.95 3349.52 0.00 0.00 0.00 0.00 -7737.46 7737.46 70-2972.95 3691.33 -2972.95 0.00 0.00 0.00 0.00 0.00 0.00 713349.52 -2972.95 14427.78 0.00 0.00 0.00 0.00 -4830.46 4830.46 72

0.00 0.00 0.00 39335.45 -31419.80 0.00 0.00 0.00 0.00 730.00 0.00 0.00 -31419.80 62839.60 -31419.80 0.00 0.00 0.00 740.00 0.00 0.00 0.00 -31419.80 62839.60 -31419.80 0.00 0.00 750.00 0.00 0.00 0.00 0.00 -31419.80 62839.60 -31419.80 0.00 76

-7737.46 0.00 -4830.46 0.00 0.00 0.00 -31419.80 62839.60 -31419.80 777737.46 0.00 4830.46 0.00 0.00 0.00 0.00 -31419.80 31419.80 78

70 71 72 73 74 75 76 77 78

70 71 72 73 74 75 76 77 780.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 10.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 20.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 40.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 50.00 0.00 0.00 -4651.05 -7737.46 0.00 0.00 0.00 0.00 60.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 70.00 0.00 0.00 -4651.05 -7737.46 0.00 0.00 0.00 0.00 80.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 90.00 0.00 0.00 -4651.05 -7737.46 0.00 0.00 0.00 0.00 100.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 110.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 120.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 130.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 140.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 150.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 160.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 170.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.00 180.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 190.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.00 200.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 210.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.00 220.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 230.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 240.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 250.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 260.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 270.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 280.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 290.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 300.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 310.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 320.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 330.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 340.00 0.00 0.00

[Kvu] =0.00 0.00 0.00 0.00 0.00 0.00 35

0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 360.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 370.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 380.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 390.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 400.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 410.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 420.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 430.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 440.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 450.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 460.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 470.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 480.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 490.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 500.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 510.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 520.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 530.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 540.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 550.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 560.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 57

6189.97 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 580.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 590.00 0.00 3864.37 0.00 0.00 0.00 -4830.46 0.00 -4830.46 600.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 610.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 4830.46 620.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 630.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 4830.46 640.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 650.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 7737.46 66

2176.84 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 672866.17 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 7737.46 68796.11 -1759.14 2972.95 0.00 0.00 0.00 0.00 0.00 0.00 69

24811.33 -2972.95 3349.52 0.00 0.00 0.00 0.00 -7737.46 7737.46 70-2972.95 3691.33 -2972.95 0.00 0.00 0.00 0.00 0.00 0.00 713349.52 -2972.95 14427.78 0.00 0.00 0.00 0.00 -4830.46 4830.46 72

0.00 0.00 0.00 39335.45 -31419.80 0.00 0.00 0.00 0.00 730.00 0.00 0.00 -31419.80 62839.60 -31419.80 0.00 0.00 0.00 740.00 0.00 0.00 [Kuu] = 0.00 -31419.80 62839.60 -31419.80 0.00 0.00 750.00 0.00 0.00 0.00 0.00 -31419.80 62839.60 -31419.80 0.00 76

-7737.46 0.00 -4830.46 0.00 0.00 0.00 -31419.80 62839.60 -31419.80 777737.46 0.00 4830.46 0.00 0.00 0.00 0.00 -31419.80 31419.80 78

70 71 72 73 74 75 76 77 78

-1.22E-06 3.68E-05 -5.08E-07-1.04E-08 5.17E-07 -5.47E-09-1.41E-06 4.72E-05 -6.11E-07-1.05E-08 1.12E-06 -7.72E-09-1.42E-06 5.48E-05 -6.40E-071.61E-08 2.07E-06 8.85E-10-3.47E-07 1.34E-04 -4.05E-071.31E-07 3.00E-06 5.99E-081.68E-06 1.62E-04 7.41E-071.49E-07 1.98E-06 1.18E-072.76E-06 1.74E-04 1.61E-061.14E-07 1.12E-06 5.66E-08-1.95E-06 5.84E-05 -8.08E-07-1.56E-08 6.79E-07 -7.74E-09-2.31E-06 7.51E-05 -9.93E-07-2.09E-08 1.56E-06 -1.30E-08-2.38E-06 8.69E-05 -1.06E-061.83E-08 2.72E-06 -4.21E-09-1.04E-06 2.17E-04 -9.42E-071.53E-07 4.10E-06 9.37E-082.90E-06 2.67E-04 1.17E-063.25E-07 3.05E-06 1.39E-075.09E-06 2.89E-04 3.14E-061.34E-07 1.84E-06 2.81E-07-2.60E-06 7.68E-05 -1.07E-06-2.62E-08 9.20E-07 -1.20E-08-3.21E-06 9.90E-05 -1.36E-06-4.25E-08 2.11E-06 -2.34E-08-3.45E-06 1.15E-04 -1.51E-06-2.23E-08 3.82E-06 -2.15E-08-2.75E-06 2.96E-04 -2.08E-064.32E-07 6.28E-06 1.20E-074.39E-06 3.76E-04 1.46E-061.95E-07 5.20E-06 5.43E-078.71E-06 4.18E-04 5.83E-065.23E-07 3.23E-06 -2.70E-07-3.12E-06 9.11E-05 -1.28E-06-4.15E-08 1.14E-06 -1.67E-08-4.07E-06 1.18E-04 -1.67E-06-8.27E-08 2.57E-06 -3.87E-08-4.57E-06 1.38E-04 -1.95E-06-3.72E-08 4.88E-06 -5.45E-08-6.61E-06 3.66E-04 -4.08E-06-5.38E-09 9.05E-06 1.75E-076.21E-06 4.90E-04 3.27E-072.61E-06 9.65E-06 3.41E-081.52E-05 5.73E-04 1.21E-052.54E-08 7.87E-06 4.16E-06-3.47E-06 1.00E-04 -1.42E-06-4.29E-08 1.08E-06 -1.58E-08-4.67E-06 1.30E-04 -1.87E-06-1.34E-07 2.84E-06 -4.82E-08-5.82E-06 1.53E-04 -2.31E-06-2.78E-07 4.84E-06 -1.30E-07-1.34E-05 4.18E-04 -7.70E-062.65E-06 1.07E-05 1.97E-078.21E-06 6.03E-04 -2.04E-06-7.05E-06 1.21E-05 4.11E-062.57E-05 7.77E-04 2.26E-053.96E-06 7.62E-06 -1.46E-05-3.60E-06 1.04E-04 -1.47E-06-8.08E-08 2.13E-06 -3.21E-08-4.80E-06 1.34E-04 -1.92E-06-2.08E-07 4.57E-06 -7.13E-08-6.31E-06 1.61E-04 -2.38E-06-6.65E-07 9.91E-06 -1.74E-07-3.21E-05 4.38E-04 -1.07E-05-4.56E-06 2.38E-05 -1.82E-06

8.06E-06 6.87E-04 -2.94E-055.24E-05 5.70E-05 -3.15E-065.70E-05 1.11E-03 7.16E-05-3.15E-06 7.16E-05 9.48E-05

-0.0060 -0.1369 -0.0040-0.0096 -0.2165 -0.0051-0.0237 -0.3346 -0.02410.0111 -0.4186 0.0349

-0.3677 -1.3183 -0.43850.3663 0.8098 0.4558


PORTICO C: 1 CRUJIAS, 6 NIVELES (Semisotano+5 Niveles)







K (-) =

*Brazos rigidos:

a = 0.00 m 0.00 m b= 0.23 m 0.00000.00 m


1era Crujia

1 2 3 4 9 10 11 12 17 18 19 205234.16 6150.14 -5234.16 6150.14 1 5234.16 6150.14 -5234.16 6150.14 9 5234.16 6150.14 -5234.16 6150.14 17

K (1-3) = 6150.14 9635.22 -6150.14 4817.61 2 K (9-11) = 6150.14 9635.22 -6150.14 4817.61 10 K (17-19) = 6150.14 9635.22 -6150.14 4817.61 18-5234.16 -6150.14 5234.16 -6150.14 3 -5234.16 -6150.14 5234.16 -6150.14 11 -5234.16 -6150.14 5234.16 -6150.14 196150.14 4817.61 -6150.14 9635.22 4 6150.14 4817.61 -6150.14 9635.22 12 6150.14 4817.61 -6150.14 9635.22 20

5 6 7 8 13 14 15 16 21 22 23 245234.16 6150.14 -5234.16 6150.14 5 5234.16 6150.14 -5234.16 6150.14 13 5234.16 6150.14 -5234.16 6150.14 21

K (5-7) = 6150.14 9635.22 -6150.14 4817.61 6 K (13-15) = 6150.14 9635.22 -6150.14 4817.61 14 K (21-23) = 6150.14 9635.22 -6150.14 4817.61 22-5234.16 -6150.14 5234.16 -6150.14 7 -5234.16 -6150.14 5234.16 -6150.14 15 -5234.16 -6150.14 5234.16 -6150.14 236150.14 4817.61 -6150.14 9635.22 8 6150.14 4817.61 -6150.14 9635.22 16 6150.14 4817.61 -6150.14 9635.22 24


Semisotano

Ф = 0.00 Ф = 0.00aH aV aM 25 1 2 bH bV bM 25 3 4

1014.12 0.00 -1926.83 -1014.12 0.00 -1926.83 aH 1014.12 0.00 -1926.83 -1014.12 0.00 -1926.83 bH0.00 1220.33 0.00 0.00 -1220.33 0.00 aV 0.00 1220.33 0.00 0.00 -1220.33 0.00 bV

K (a-1) = -1926.83 0.00 4881.31 -1926.83 0.00 2440.65 aM K (b-3) = -1926.83 0.00 4881.31 -1926.83 0.00 2440.65 bM-1014.12 0.00 -1926.83 1014.12 0.00 1926.83 25 -1014.12 0.00 -1926.83 1014.12 0.00 1926.83 25

0.00 -1220.33 0.00 0.00 1220.33 0.00 1 0.00 -1220.33 0.00 0.00 1220.33 0.00 3-1926.83 0.00 2440.65 1926.83 0.00 4881.31 2 -1926.83 0.00 2440.65 1926.83 0.00 4881.31 4

1er Nivel

Ф = 0.00 Ф = 0.0025 1 2 26 5 6 25 3 4 26 7 8

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 25 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 250.00 1932.18 0.00 0.00 -1932.18 0.00 1 0.00 1932.18 0.00 0.00 -1932.18 0.00 3

K (1-5) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 2 K (3-7) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 4-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 26 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 26

0.00 -1932.18 0.00 0.00 1932.18 0.00 5 0.00 -1932.18 0.00 0.00 1932.18 0.00 7-4830.46 0.00 3864.37 4830.46 0.00 7728.73 6 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 8

2do Nivel

Ф = 0.00 Ф = 0.0026 5 6 27 9 10 26 7 8 27 11 12

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 26 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 260.00 1932.18 0.00 0.00 -1932.18 0.00 5 0.00 1932.18 0.00 0.00 -1932.18 0.00 7

K (5-9) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 6 K (7-11) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 8-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 27 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 27

0.00 -1932.18 0.00 0.00 1932.18 0.00 9 0.00 -1932.18 0.00 0.00 1932.18 0.00 11-4830.46 0.00 3864.37 4830.46 0.00 7728.73 10 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 12

3er Nivel

Ф = 0.00 Ф = 0.0027 9 10 28 13 14 27 11 12 28 15 16

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 27 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 270.00 1932.18 0.00 0.00 -1932.18 0.00 9 0.00 1932.18 0.00 0.00 -1932.18 0.00 11

K (9-13) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 10 K (11-15) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 12-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 28 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 28

0.00 -1932.18 0.00 0.00 1932.18 0.00 13 0.00 -1932.18 0.00 0.00 1932.18 0.00 15-4830.46 0.00 3864.37 4830.46 0.00 7728.73 14 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 16

4to Nivel

Ф = 0.00 Ф = 0.0028 13 14 29 17 18 28 15 16 29 19 20

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 28 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 280.00 1932.18 0.00 0.00 -1932.18 0.00 13 0.00 1932.18 0.00 0.00 -1932.18 0.00 15

K (13-17) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 14 K (15-19) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 16-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 29 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 29

0.00 -1932.18 0.00 0.00 1932.18 0.00 17 0.00 -1932.18 0.00 0.00 1932.18 0.00 19-4830.46 0.00 3864.37 4830.46 0.00 7728.73 18 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 20

5to Nivel

Ф = 0.00 Ф = 0.00

29 17 18 30 21 22 29 19 20 30 23 244025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 29 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 29

0.00 1932.18 0.00 0.00 -1932.18 0.00 17 0.00 1932.18 0.00 0.00 -1932.18 0.00 19

K (17-21) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 18 K (19-23) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 20-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 30 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 30

0.00 -1932.18 0.00 0.00 1932.18 0.00 21 0.00 -1932.18 0.00 0.00 1932.18 0.00 23-4830.46 0.00 3864.37 4830.46 0.00 7728.73 22 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 24


1 2 3 4 5 6 7 8 9 10 11 12 13 14 151 8386.67 6150.14 -5234.16 6150.14 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.002 6150.14 22245.26 -6150.14 4817.61 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.003 -5234.16 -6150.14 8386.67 -6150.14 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.004 6150.14 4817.61 -6150.14 22245.26 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.005 -1932.18 0.00 0.00 0.00 9098.53 6150.14 -5234.16 6150.14 -1932.18 0.00 0.00 0.00 0.00 0.00 0.006 0.00 3864.37 0.00 0.00 6150.14 25092.69 -6150.14 4817.61 0.00 3864.37 0.00 0.00 0.00 0.00 0.007 0.00 0.00 -1932.18 0.00 -5234.16 -6150.14 9098.53 -6150.14 0.00 0.00 -1932.18 0.00 0.00 0.00 0.008 0.00 0.00 0.00 3864.37 6150.14 4817.61 -6150.14 25092.69 0.00 0.00 0.00 3864.37 0.00 0.00 0.009 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 9098.53 6150.14 -5234.16 6150.14 -1932.18 0.00 0.00

10 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 6150.14 25092.69 -6150.14 4817.61 0.00 3864.37 0.0011 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 -5234.16 -6150.14 9098.53 -6150.14 0.00 0.00 -1932.1812 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 6150.14 4817.61 -6150.14 25092.69 0.00 0.00 0.0013 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 9098.53 6150.14 -5234.16

[K] =14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 6150.14 25092.69 -6150.1415 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 -5234.16 -6150.14 9098.5316 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 6150.14 4817.61 -6150.1417 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.0018 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.0019 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.1820 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0021 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0022 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0023 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0024 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0025 0.00 -2903.63 0.00 -2903.63 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 0.00 0.00 0.00 0.0026 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.0027 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 0.00 0.00 -4830.46 0.0028 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.0029 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.0030 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

[K] = Kvv kvu

Kuv kuu

1 2 3 4 5 6 7 8 9 10 11 12 13 14 151 8386.67 6150.14 -5234.16 6150.14 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.002 6150.14 22245.26 -6150.14 4817.61 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.003 -5234.16 -6150.14 8386.67 -6150.14 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.004 6150.14 4817.61 -6150.14 22245.26 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.005 -1932.18 0.00 0.00 0.00 9098.53 6150.14 -5234.16 6150.14 -1932.18 0.00 0.00 0.00 0.00 0.00 0.006 0.00 3864.37 0.00 0.00 6150.14 25092.69 -6150.14 4817.61 0.00 3864.37 0.00 0.00 0.00 0.00 0.007 0.00 0.00 -1932.18 0.00 -5234.16 -6150.14 9098.53 -6150.14 0.00 0.00 -1932.18 0.00 0.00 0.00 0.008 0.00 0.00 0.00 3864.37 6150.14 4817.61 -6150.14 25092.69 0.00 0.00 0.00 3864.37 0.00 0.00 0.009 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 9098.53 6150.14 -5234.16 6150.14 -1932.18 0.00 0.00

10 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 6150.14 25092.69 -6150.14 4817.61 0.00 3864.37 0.00

[Kvv] =11 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 -5234.16 -6150.14 9098.53 -6150.14 0.00 0.00 -1932.1812 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 6150.14 4817.61 -6150.14 25092.69 0.00 0.00 0.0013 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 9098.53 6150.14 -5234.1614 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 6150.14 25092.69 -6150.1415 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 -5234.16 -6150.14 9098.5316 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 6150.14 4817.61 -6150.1417 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.0018 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.0019 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.1820 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0021 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0022 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0023 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0024 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

25 0.00 -2903.63 0.00 -2903.63 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 0.00 0.00 0.00 0.0026 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00

[Kuv] = 27 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 0.00 0.00 -4830.46 0.0028 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.0029 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.0030 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

4.74E-04 -2.93E-05 3.45E-04 -2.93E-05 4.18E-04 3.38E-07 4.01E-04 3.38E-07 4.12E-04 -8.32E-07 4.08E-04 -8.32E-07 4.10E-04 1.73E-09 4.09E-04-2.93E-05 6.24E-05 2.93E-05 2.38E-06 -5.85E-07 -1.00E-05 5.85E-07 1.89E-06 -8.41E-07 2.06E-06 8.41E-07 -2.94E-07 -2.45E-08 -3.41E-07 2.45E-083.45E-04 2.93E-05 4.74E-04 2.93E-05 4.01E-04 -3.38E-07 4.18E-04 -3.38E-07 4.08E-04 8.32E-07 4.12E-04 8.32E-07 4.09E-04 -1.73E-09 4.10E-04-2.93E-05 2.38E-06 2.93E-05 6.24E-05 -5.85E-07 1.89E-06 5.85E-07 -1.00E-05 -8.41E-07 -2.94E-07 8.41E-07 2.06E-06 -2.45E-08 1.26E-07 2.45E-084.18E-04 -5.85E-07 4.01E-04 -5.85E-07 7.26E-04 -2.34E-05 6.11E-04 -2.34E-05 6.77E-04 -2.38E-07 6.60E-04 -2.38E-07 6.70E-04 -6.71E-07 6.67E-043.38E-07 -1.00E-05 -3.38E-07 1.89E-06 -2.34E-05 5.41E-05 2.34E-05 5.35E-07 -2.12E-07 -8.85E-06 2.12E-07 1.77E-06 -6.70E-07 1.80E-06 6.70E-074.01E-04 5.85E-07 4.18E-04 5.85E-07 6.11E-04 2.34E-05 7.26E-04 2.34E-05 6.60E-04 2.38E-07 6.77E-04 2.38E-07 6.67E-04 6.71E-07 6.70E-043.38E-07 1.89E-06 -3.38E-07 -1.00E-05 -2.34E-05 5.35E-07 2.34E-05 5.41E-05 -2.12E-07 1.77E-06 2.12E-07 -8.85E-06 -6.70E-07 -3.07E-07 6.70E-074.12E-04 -8.41E-07 4.08E-04 -8.41E-07 6.77E-04 -2.12E-07 6.60E-04 -2.12E-07 9.85E-04 -2.35E-05 8.70E-04 -2.35E-05 9.35E-04 -2.29E-07 9.19E-04-8.32E-07 2.06E-06 8.32E-07 -2.94E-07 -2.38E-07 -8.85E-06 2.38E-07 1.77E-06 -2.35E-05 5.40E-05 2.35E-05 6.05E-07 -2.26E-07 -8.82E-06 2.26E-074.08E-04 8.41E-07 4.12E-04 8.41E-07 6.60E-04 2.12E-07 6.77E-04 2.12E-07 8.70E-04 2.35E-05 9.85E-04 2.35E-05 9.19E-04 2.29E-07 9.35E-04-8.32E-07 -2.94E-07 8.32E-07 2.06E-06 -2.38E-07 1.77E-06 2.38E-07 -8.85E-06 -2.35E-05 6.05E-07 2.35E-05 5.40E-05 -2.26E-07 1.76E-06 2.26E-074.10E-04 -2.45E-08 4.09E-04 -2.45E-08 6.70E-04 -6.70E-07 6.67E-04 -6.70E-07 9.35E-04 -2.26E-07 9.19E-04 -2.26E-07 1.24E-03 -2.35E-05 1.13E-031.73E-09 -3.41E-07 -1.73E-09 1.26E-07 -6.71E-07 1.80E-06 6.71E-07 -3.07E-07 -2.29E-07 -8.82E-06 2.29E-07 1.76E-06 -2.35E-05 5.40E-05 2.35E-054.09E-04 2.45E-08 4.10E-04 2.45E-08 6.67E-04 6.70E-07 6.70E-04 6.70E-07 9.19E-04 2.26E-07 9.35E-04 2.26E-07 1.13E-03 2.35E-05 1.24E-031.73E-09 1.26E-07 -1.73E-09 -3.41E-07 -6.71E-07 -3.07E-07 6.71E-07 1.80E-06 -2.29E-07 1.76E-06 2.29E-07 -8.82E-06 -2.35E-05 6.02E-07 2.35E-054.10E-04 -2.41E-08 4.10E-04 -2.41E-08 6.69E-04 -1.37E-08 6.68E-04 -1.37E-08 9.29E-04 -6.68E-07 9.26E-04 -6.68E-07 1.19E-03 -2.77E-07 1.18E-03-2.36E-08 7.17E-08 2.36E-08 -2.29E-08 -1.08E-08 -3.09E-07 1.08E-08 1.17E-07 -6.67E-07 1.82E-06 6.67E-07 -3.19E-07 -1.49E-07 -9.01E-06 1.49E-074.10E-04 2.41E-08 4.10E-04 2.41E-08 6.68E-04 1.37E-08 6.69E-04 1.37E-08 9.26E-04 6.68E-07 9.29E-04 6.68E-07 1.18E-03 2.77E-07 1.19E-03-2.36E-08 -2.29E-08 2.36E-08 7.17E-08 -1.08E-08 1.17E-07 1.08E-08 -3.09E-07 -6.67E-07 -3.19E-07 6.67E-07 1.82E-06 -1.49E-07 1.81E-06 1.49E-074.10E-04 1.02E-09 4.10E-04 1.02E-09 6.69E-04 -4.16E-08 6.68E-04 -4.16E-08 9.28E-04 5.74E-08 9.27E-04 5.74E-08 1.19E-03 -1.48E-06 1.18E-03-1.89E-09 -1.94E-08 1.89E-09 9.74E-09 -4.40E-08 1.05E-07 4.40E-08 -2.59E-08 -7.13E-08 -4.93E-07 7.13E-08 1.67E-07 -1.52E-06 3.11E-06 1.52E-064.10E-04 -1.02E-09 4.10E-04 -1.02E-09 6.68E-04 4.16E-08 6.69E-04 4.16E-08 9.27E-04 -5.74E-08 9.28E-04 -5.74E-08 1.18E-03 1.48E-06 1.19E-03-1.89E-09 9.74E-09 1.89E-09 -1.94E-08 -4.40E-08 -2.59E-08 4.40E-08 1.05E-07 -7.13E-08 1.67E-07 7.13E-08 -4.93E-07 -1.52E-06 -2.18E-07 1.52E-06

0.1670 -0.1489 -0.1670 -0.1489 0.2299 -0.2406 -0.2299 -0.2406 0.0069 0.0291 -0.0069 0.0291 0.0066 -0.0066 -0.00660.2914 -0.3214 -0.2914 -0.3214 0.0079 0.0734 -0.0079 0.0734 0.2350 -0.2721 -0.2350 -0.2721 0.0024 0.0351 -0.0024-0.0033 0.0402 0.0033 0.0402 0.2330 -0.2713 -0.2330 -0.2713 0.0043 0.0683 -0.0043 0.0683 0.2335 -0.2710 -0.23350.0083 -0.0088 -0.0083 -0.0088 0.0024 0.0351 -0.0024 0.0351 0.2333 -0.2709 -0.2333 -0.2709 0.0036 0.0689 -0.00360.0000 0.0011 0.0000 0.0011 0.0069 -0.0076 -0.0069 -0.0076 0.0029 0.0357 -0.0029 0.0357 0.2417 -0.2777 -0.24170.0002 -0.0003 -0.0002 -0.0003 -0.0003 0.0013 0.0003 0.0013 0.0058 -0.0088 -0.0058 -0.0088 -0.0133 0.0488 0.0133

3188.62 1157.19 2387.71 -288.54 67.01 -11.011157.19 5734.22 -1048.69 2701.59 -355.05 88.072387.71 -1048.69 5239.07 -1004.90 2756.47 -483.73-288.54 2701.59 -1004.90 5261.87 -1258.92 3238.5667.01 -355.05 2756.47 -1258.92 7753.70 -5984.86-11.01 88.07 -483.73 3238.56 -5984.86 8666.99


10079.01 -8050.76 0.00 0.00 0.00 0.00 3188.62 1157.19 2387.71 -288.54 67.01 -11.01-8050.76 16101.53 -8050.76 0.00 0.00 0.00 1157.19 5734.22 -1048.69 2701.59 -355.05 88.07

= 0.00 -8050.76 16101.53 -8050.76 0.00 0.00 - 2387.71 -1048.69 5239.07 -1004.90 2756.47 -483.730.00 0.00 -8050.76 16101.53 -8050.76 0.00 -288.54 2701.59 -1004.90 5261.87 -1258.92 3238.560.00 0.00 0.00 -8050.76 16101.53 -8050.76 67.01 -355.05 2756.47 -1258.92 7753.70 -5984.860.00 0.00 0.00 0.00 -8050.76 8050.76 -11.01 88.07 -483.73 3238.56 -5984.86 8666.99

6890.38 -9207.96 -2387.71 288.54 -67.01 11.01-9207.96 10367.31 -7002.07 -2701.59 355.05 -88.07

[ KL C] = -2387.71 -7002.07 10862.46 -7045.86 -2756.47 483.73288.54 -2701.59 -7045.86 10839.66 -6791.84 -3238.56-67.01 355.05 -2756.47 -6791.84 8347.83 -2065.9011.01 -88.07 483.73 -3238.56 -2065.90 -616.23

[K-1vv] =

[Kuv]*[K-1vv] =


16 17 18 19 20 21 22 23 24 25 26 27 28 29 300.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 10.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 20.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 40.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 50.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 60.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 70.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 80.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 90.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 100.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 11

3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 126150.14 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 134817.61 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 14-6150.14 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1525092.69 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 16

0.00 9098.53 6150.14 -5234.16 6150.14 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 170.00 6150.14 25092.69 -6150.14 4817.61 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 180.00 -5234.16 -6150.14 9098.53 -6150.14 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 19

3864.37 6150.14 4817.61 -6150.14 25092.69 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 -4830.46 0.00 -4830.46 200.00 -1932.18 0.00 0.00 0.00 7166.35 6150.14 -5234.16 6150.14 0.00 0.00 0.00 0.00 0.00 0.00 210.00 0.00 3864.37 0.00 0.00 6150.14 17363.96 -6150.14 4817.61 0.00 0.00 0.00 0.00 -4830.46 4830.46 220.00 0.00 0.00 -1932.18 0.00 -5234.16 -6150.14 7166.35 -6150.14 0.00 0.00 0.00 0.00 0.00 0.00 230.00 0.00 0.00 0.00 3864.37 6150.14 4817.61 -6150.14 17363.96 0.00 0.00 0.00 0.00 -4830.46 4830.46 240.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 10079.01 -8050.76 0.00 0.00 0.00 0.00 250.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -8050.76 16101.53 -8050.76 0.00 0.00 0.00 26

-4830.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -8050.76 16101.53 -8050.76 0.00 0.00 270.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 0.00 0.00 0.00 -8050.76 16101.53 -8050.76 0.00 28

-4830.46 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 -8050.76 16101.53 -8050.76 290.00 0.00 -4830.46 0.00 -4830.46 0.00 4830.46 0.00 4830.46 0.00 0.00 0.00 0.00 -8050.76 8050.76 3016 17 18 19 20 21 22 23 24 25 26 27 28 29 30

16 17 18 19 20 21 22 23 24 25 26 27 28 29 300.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 10.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 20.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 40.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 50.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 60.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 70.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 80.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 90.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 100.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

[Kvu] =0.00 0.00 0.00 0.00 0.00 0.00 11

3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 126150.14 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 134817.61 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 14-6150.14 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1525092.69 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 16

0.00 9098.53 6150.14 -5234.16 6150.14 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 170.00 6150.14 25092.69 -6150.14 4817.61 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 180.00 -5234.16 -6150.14 9098.53 -6150.14 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 19

3864.37 6150.14 4817.61 -6150.14 25092.69 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 -4830.46 0.00 -4830.46 200.00 -1932.18 0.00 0.00 0.00 7166.35 6150.14 -5234.16 6150.14 0.00 0.00 0.00 0.00 0.00 0.00 210.00 0.00 3864.37 0.00 0.00 6150.14 17363.96 -6150.14 4817.61 0.00 0.00 0.00 0.00 -4830.46 4830.46 220.00 0.00 0.00 -1932.18 0.00 -5234.16 -6150.14 7166.35 -6150.14 0.00 0.00 0.00 0.00 0.00 0.00 230.00 0.00 0.00 0.00 3864.37 6150.14 4817.61 -6150.14 17363.96 0.00 0.00 0.00 0.00 -4830.46 4830.46 24

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 10079.01 -8050.76 0.00 0.00 0.00 0.00 250.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -8050.76 16101.53 -8050.76 0.00 0.00 0.00 26

-4830.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 [Kuu] = 0.00 -8050.76 16101.53 -8050.76 0.00 0.00 270.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 0.00 0.00 0.00 -8050.76 16101.53 -8050.76 0.00 28

-4830.46 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 -8050.76 16101.53 -8050.76 290.00 0.00 -4830.46 0.00 -4830.46 0.00 4830.46 0.00 4830.46 0.00 0.00 0.00 0.00 -8050.76 8050.76 30

16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

1.73E-09 4.10E-04 -2.36E-08 4.10E-04 -2.36E-08 4.10E-04 -1.89E-09 4.10E-04 -1.89E-091.26E-07 -2.41E-08 7.17E-08 2.41E-08 -2.29E-08 1.02E-09 -1.94E-08 -1.02E-09 9.74E-09-1.73E-09 4.10E-04 2.36E-08 4.10E-04 2.36E-08 4.10E-04 1.89E-09 4.10E-04 1.89E-09-3.41E-07 -2.41E-08 -2.29E-08 2.41E-08 7.17E-08 1.02E-09 9.74E-09 -1.02E-09 -1.94E-08-6.71E-07 6.69E-04 -1.08E-08 6.68E-04 -1.08E-08 6.69E-04 -4.40E-08 6.68E-04 -4.40E-08-3.07E-07 -1.37E-08 -3.09E-07 1.37E-08 1.17E-07 -4.16E-08 1.05E-07 4.16E-08 -2.59E-086.71E-07 6.68E-04 1.08E-08 6.69E-04 1.08E-08 6.68E-04 4.40E-08 6.69E-04 4.40E-081.80E-06 -1.37E-08 1.17E-07 1.37E-08 -3.09E-07 -4.16E-08 -2.59E-08 4.16E-08 1.05E-07-2.29E-07 9.29E-04 -6.67E-07 9.26E-04 -6.67E-07 9.28E-04 -7.13E-08 9.27E-04 -7.13E-081.76E-06 -6.68E-07 1.82E-06 6.68E-07 -3.19E-07 5.74E-08 -4.93E-07 -5.74E-08 1.67E-072.29E-07 9.26E-04 6.67E-07 9.29E-04 6.67E-07 9.27E-04 7.13E-08 9.28E-04 7.13E-08-8.82E-06 -6.68E-07 -3.19E-07 6.68E-07 1.82E-06 5.74E-08 1.67E-07 -5.74E-08 -4.93E-07-2.35E-05 1.19E-03 -1.49E-07 1.18E-03 -1.49E-07 1.19E-03 -1.52E-06 1.18E-03 -1.52E-066.02E-07 -2.77E-07 -9.01E-06 2.77E-07 1.81E-06 -1.48E-06 3.11E-06 1.48E-06 -2.18E-072.35E-05 1.18E-03 1.49E-07 1.19E-03 1.49E-07 1.18E-03 1.52E-06 1.19E-03 1.52E-065.40E-05 -2.77E-07 1.81E-06 2.77E-07 -9.01E-06 -1.48E-06 -2.18E-07 1.48E-06 3.11E-06-2.77E-07 1.50E-03 -2.34E-05 1.39E-03 -2.34E-05 1.46E-03 -2.00E-06 1.43E-03 -2.00E-061.81E-06 -2.34E-05 5.49E-05 2.34E-05 2.95E-07 2.51E-06 -1.46E-05 -2.51E-06 2.21E-062.77E-07 1.39E-03 2.34E-05 1.50E-03 2.34E-05 1.43E-03 2.00E-06 1.46E-03 2.00E-06-9.01E-06 -2.34E-05 2.95E-07 2.34E-05 5.49E-05 2.51E-06 2.21E-06 -2.51E-06 -1.46E-05-1.48E-06 1.46E-03 2.51E-06 1.43E-03 2.51E-06 1.80E-03 -5.28E-05 1.61E-03 -5.28E-05-2.18E-07 -2.00E-06 -1.46E-05 2.00E-06 2.21E-06 -5.28E-05 9.53E-05 5.28E-05 1.04E-051.48E-06 1.43E-03 -2.51E-06 1.46E-03 -2.51E-06 1.61E-03 5.28E-05 1.80E-03 5.28E-053.11E-06 -2.00E-06 2.21E-06 2.00E-06 -1.46E-05 -5.28E-05 1.04E-05 5.28E-05 9.53E-05

-0.0066 0.0003 0.0008 -0.0003 0.0008 0.0004 -0.0004 -0.0004 -0.00040.0351 0.0067 -0.0075 -0.0067 -0.0075 -0.0006 0.0016 0.0006 0.0016-0.2710 0.0028 0.0357 -0.0028 0.0357 0.0147 -0.0144 -0.0147 -0.01440.0689 0.2321 -0.2738 -0.2321 -0.2738 -0.0248 0.0614 0.0248 0.0614-0.2777 0.0220 0.0946 -0.0220 0.0946 0.5240 -0.5249 -0.5240 -0.52490.0488 0.2063 -0.3264 -0.2063 -0.3264 -0.5340 0.5707 0.5340 0.5707


PORTICO C: 4 CRUJIAS, 6 NIVELES (Semisotano+5 Niveles)







K (e-9) =

*Brazos rigidos:

b= 0.20 m 1.60 m a = 0.75 m 13267.252.55 m



1 2 3 4 3 4 5 62515.86 3773.80 -2515.86 3773.80 1 238.44 784.46 -238.44 784.46 3

K (1-3) = 3773.80 7547.59 -3773.80 3773.80 2 K (3-5) = 784.46 3441.15 -784.46 1720.58 4-2515.86 -3773.80 2515.86 -3773.80 3 -238.44 -784.46 238.44 -784.46 53773.80 3773.80 -3773.80 7547.59 4 784.46 1720.58 -784.46 3441.15 6

11 12 13 14 13 14 15 162515.86 3773.80 -2515.86 3773.80 11 238.44 784.46 -238.44 784.46 13

K (11-13) = 3773.80 7547.59 -3773.80 3773.80 12 K (13-15) = 784.46 3441.15 -784.46 1720.58 14-2515.86 -3773.80 2515.86 -3773.80 13 -238.44 -784.46 238.44 -784.46 153773.80 3773.80 -3773.80 7547.59 14 784.46 1720.58 -784.46 3441.15 16

21 22 23 24 23 24 25 262515.86 3773.80 -2515.86 3773.80 21 238.44 784.46 -238.44 784.46 23

K (21-23) = 3773.80 7547.59 -3773.80 3773.80 22 K (23-25) = 784.46 3441.15 -784.46 1720.58 24-2515.86 -3773.80 2515.86 -3773.80 23 -238.44 -784.46 238.44 -784.46 253773.80 3773.80 -3773.80 7547.59 24 784.46 1720.58 -784.46 3441.15 26

31 32 33 34 33 34 35 362515.86 3773.80 -2515.86 3773.80 31 238.44 784.46 -238.44 784.46 33

K (31-33) = 3773.80 7547.59 -3773.80 3773.80 32 K (33-45) = 784.46 3441.15 -784.46 1720.58 34-2515.86 -3773.80 2515.86 -3773.80 33 -238.44 -784.46 238.44 -784.46 353773.80 3773.80 -3773.80 7547.59 34 784.46 1720.58 -784.46 3441.15 36

41 42 43 44 43 44 45 462515.86 3773.80 -2515.86 3773.80 41 238.44 784.46 -238.44 784.46 43

K (41-43) = 3773.80 7547.59 -3773.80 3773.80 42 K (43-45) = 784.46 3441.15 -784.46 1720.58 44-2515.86 -3773.80 2515.86 -3773.80 43 -238.44 -784.46 238.44 -784.46 453773.80 3773.80 -3773.80 7547.59 44 784.46 1720.58 -784.46 3441.15 46

51 52 53 54 53 54 55 562515.86 3773.80 -2515.86 3773.80 51 238.44 784.46 -238.44 784.46 53

K (51-53) = 3773.80 7547.59 -3773.80 3773.80 52 K (53-55) = 784.46 3441.15 -784.46 1720.58 54-2515.86 -3773.80 2515.86 -3773.80 53 -238.44 -784.46 238.44 -784.46 553773.80 3773.80 -3773.80 7547.59 54 784.46 1720.58 -784.46 3441.15 56

3era Crujia 4ta Crujia

5 6 7 8 7 8 9 101102.20 2176.84 -1102.20 2176.84 5 16584.06 35379.34 -16584.06 16584.06 7

K (5-7) = 2176.84 5732.35 -2176.84 2866.17 6 K (7-9) = 35379.34 43381.15 -35379.34 34771.26 8-1102.20 -2176.84 1102.20 -2176.84 7 -16584.06 -35379.34 16584.06 -16584.06 92176.84 2866.17 -2176.84 5732.35 8 16584.06 34771.26 -16584.06 20122.00 10

15 16 17 18 17 18 19 201102.20 2176.84 -1102.20 2176.84 15 16584.06 35379.34 -16584.06 16584.06 17

K (15-17) = 2176.84 5732.35 -2176.84 2866.17 16 K (17-19) = 35379.34 43381.15 -35379.34 34771.26 18-1102.20 -2176.84 1102.20 -2176.84 17 -16584.06 -35379.34 16584.06 -16584.06 192176.84 2866.17 -2176.84 5732.35 18 16584.06 34771.26 -16584.06 20122.00 20

25 26 27 28 27 28 29 301102.20 2176.84 -1102.20 2176.84 25 16584.06 35379.34 -16584.06 16584.06 27

K (25-27) = 2176.84 5732.35 -2176.84 2866.17 26 K (27-29) = 35379.34 43381.15 -35379.34 34771.26 28-1102.20 -2176.84 1102.20 -2176.84 27 -16584.06 -35379.34 16584.06 -16584.06 292176.84 2866.17 -2176.84 5732.35 28 16584.06 34771.26 -16584.06 20122.00 30

35 36 37 38 37 38 39 401102.20 2176.84 -1102.20 2176.84 35 16584.06 35379.34 -16584.06 16584.06 37

K (35-37) = 2176.84 5732.35 -2176.84 2866.17 36 K (37-39) = 35379.34 43381.15 -35379.34 34771.26 38-1102.20 -2176.84 1102.20 -2176.84 37 -16584.06 -35379.34 16584.06 -16584.06 392176.84 2866.17 -2176.84 5732.35 38 16584.06 34771.26 -16584.06 20122.00 40

45 46 47 48 47 48 49 501102.20 2176.84 -1102.20 2176.84 45 16584.06 35379.34 -16584.06 16584.06 47

K (45-47) = 2176.84 5732.35 -2176.84 2866.17 46 K (47-49) = 35379.34 43381.15 -35379.34 34771.26 48-1102.20 -2176.84 1102.20 -2176.84 47 -16584.06 -35379.34 16584.06 -16584.06 492176.84 2866.17 -2176.84 5732.35 48 16584.06 34771.26 -16584.06 20122.00 50

55 56 57 58 57 58 59 601102.20 2176.84 -1102.20 2176.84 55 16584.06 35379.34 -16584.06 16584.06 57

K (55-57) = 2176.84 5732.35 -2176.84 2866.17 56 K (57-59) = 35379.34 43381.15 -35379.34 34771.26 58-1102.20 -2176.84 1102.20 -2176.84 57 -16584.06 -35379.34 16584.06 -16584.06 592176.84 2866.17 -2176.84 5732.35 58 16584.06 34771.26 -16584.06 20122.00 60


Semisotano

Ф = 0.00 Ф = 0.00aH aV aM 61 1 2 bH bV bM 61 3 4

1014.12 0.00 -1926.83 -1014.12 0.00 -1926.83 aH 1014.12 0.00 -1926.83 -1014.12 0.00 -1926.83 bH0.00 1220.33 0.00 0.00 -1220.33 0.00 aV 0.00 1220.33 0.00 0.00 -1220.33 0.00 bV

K (a-1) = -1926.83 0.00 4881.31 -1926.83 0.00 2440.65 aM K (b-3) = -1926.83 0.00 4881.31 -1926.83 0.00 2440.65 bM-1014.12 0.00 -1926.83 1014.12 0.00 1926.83 61 -1014.12 0.00 -1926.83 1014.12 0.00 1926.83 61

0.00 -1220.33 0.00 0.00 1220.33 0.00 1 0.00 -1220.33 0.00 0.00 1220.33 0.00 3-1926.83 0.00 2440.65 1926.83 0.00 4881.31 2 -1926.83 0.00 2440.65 1926.83 0.00 4881.31 4

Ф = 0.00 Ф = 0.00cH cV cM 61 5 6 dH dV dM 61 7 8

1624.43 0.00 -3086.41 -1624.43 0.00 -3086.41 cH 1624.43 0.00 -3086.41 -1624.43 0.00 -3086.41 dH0.00 1954.73 0.00 0.00 -1954.73 0.00 cV 0.00 1954.73 0.00 0.00 -1954.73 0.00 dV

K (c-5) = -3086.41 0.00 7818.91 -3086.41 0.00 3909.45 cM K (d-7) = -3086.41 0.00 7818.91 -3086.41 0.00 3909.45 dM-1624.43 0.00 -3086.41 1624.43 0.00 3086.41 61 -1624.43 0.00 -3086.41 1624.43 0.00 3086.41 61

0.00 -1954.73 0.00 0.00 1954.73 0.00 5 0.00 -1954.73 0.00 0.00 1954.73 0.00 7-3086.41 0.00 3909.45 3086.41 0.00 7818.91 6 -3086.41 0.00 3909.45 3086.41 0.00 7818.91 8

Ф = 0.47eH eV eM 61 9 10

1106.97 0.00 -2103.25 -1106.97 0.00 -2103.25 eH0.00 1954.73 0.00 0.00 -1954.73 0.00 eV

K (e-9) = -2103.25 0.00 5328.22 -2103.25 0.00 2664.11 eM-1106.97 0.00 -2103.25 1106.97 0.00 2103.25 61

0.00 -1954.73 0.00 0.00 1954.73 0.00 9-2103.25 0.00 2664.11 2103.25 0.00 5328.22 10

1er Nivel

Ф = 0.00 Ф = 0.0061 1 2 62 11 12 61 3 4 62 13 14

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 61 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 610.00 1932.18 0.00 0.00 -1932.18 0.00 1 0.00 1932.18 0.00 0.00 -1932.18 0.00 3

K (1-11) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 2 K (3-13) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 4-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 62 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 62

0.00 -1932.18 0.00 0.00 1932.18 0.00 11 0.00 -1932.18 0.00 0.00 1932.18 0.00 13-4830.46 0.00 3864.37 4830.46 0.00 7728.73 12 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 14

Ф = 0.00 Ф = 0.0061 5 6 62 15 16 61 7 8 62 17 18

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 61 6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 610.00 3094.98 0.00 0.00 -3094.98 0.00 5 0.00 3094.98 0.00 0.00 -3094.98 0.00 7

K (5-15) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 6 K (7-17) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 8-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 62 -6447.88 0.00 -7737.46 6447.88 0.00 7737.46 62

0.00 -3094.98 0.00 0.00 3094.98 0.00 15 0.00 -3094.98 0.00 0.00 3094.98 0.00 17-7737.46 0.00 6189.97 7737.46 0.00 12379.94 16 -7737.46 0.00 6189.97 7737.46 0.00 12379.94 18

Ф = 1.1761 9 10 62 19 20

2968.81 0.00 -3562.57 -2968.81 0.00 -3562.57 610.00 3094.98 0.00 0.00 -3094.98 0.00 9

K (9-19) = -3562.57 0.00 5700.12 -3562.57 0.00 2850.06 10-2968.81 0.00 -3562.57 2968.81 0.00 3562.57 62

0.00 -3094.98 0.00 0.00 3094.98 0.00 19-3562.57 0.00 2850.06 3562.57 0.00 5700.12 20

2do Nivel

Ф = 0.00 Ф = 0.0062 11 12 63 21 22 62 13 14 63 23 24

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 62 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 620.00 1932.18 0.00 0.00 -1932.18 0.00 11 0.00 1932.18 0.00 0.00 -1932.18 0.00 13

K (11-21) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 12 K (13-23) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 14-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 63 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 63

0.00 -1932.18 0.00 0.00 1932.18 0.00 21 0.00 -1932.18 0.00 0.00 1932.18 0.00 23-4830.46 0.00 3864.37 4830.46 0.00 7728.73 22 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 24

Ф = 0.00 Ф = 0.0062 15 16 63 25 26 62 17 18 63 27 28

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 62 6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 620.00 3094.98 0.00 0.00 -3094.98 0.00 15 0.00 3094.98 0.00 0.00 -3094.98 0.00 17

K (15-25) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 16 K (17-27) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 18-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 63 -6447.88 0.00 -7737.46 6447.88 0.00 7737.46 63

0.00 -3094.98 0.00 0.00 3094.98 0.00 25 0.00 -3094.98 0.00 0.00 3094.98 0.00 27-7737.46 0.00 6189.97 7737.46 0.00 12379.94 26 -7737.46 0.00 6189.97 7737.46 0.00 12379.94 28

Ф = 1.1762 19 20 63 29 30

2968.81 0.00 -3562.57 -2968.81 0.00 -3562.57 620.00 3094.98 0.00 0.00 -3094.98 0.00 19

K (19-29) = -3562.57 0.00 5700.12 -3562.57 0.00 2850.06 20-2968.81 0.00 -3562.57 2968.81 0.00 3562.57 63

0.00 -3094.98 0.00 0.00 3094.98 0.00 29-3562.57 0.00 2850.06 3562.57 0.00 5700.12 30

3er Nivel

Ф = 0.00 Ф = 0.0063 21 22 64 31 32 63 23 24 64 33 34

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 63 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 630.00 1932.18 0.00 0.00 -1932.18 0.00 21 0.00 1932.18 0.00 0.00 -1932.18 0.00 23

K (21-31) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 22 K (23-33) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 24-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 64 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 64

0.00 -1932.18 0.00 0.00 1932.18 0.00 31 0.00 -1932.18 0.00 0.00 1932.18 0.00 33-4830.46 0.00 3864.37 4830.46 0.00 7728.73 32 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 34

Ф = 0.00 Ф = 0.0063 25 26 64 35 36 63 27 28 64 37 38

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 63 6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 630.00 3094.98 0.00 0.00 -3094.98 0.00 25 0.00 3094.98 0.00 0.00 -3094.98 0.00 27

K (25-35) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 26 K (27-37) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 28-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 64 -6447.88 0.00 -7737.46 6447.88 0.00 7737.46 64

0.00 -3094.98 0.00 0.00 3094.98 0.00 35 0.00 -3094.98 0.00 0.00 3094.98 0.00 37-7737.46 0.00 6189.97 7737.46 0.00 12379.94 36 -7737.46 0.00 6189.97 7737.46 0.00 12379.94 38

Ф = 1.1763 29 30 64 39 40

2968.81 0.00 -3562.57 -2968.81 0.00 -3562.57 630.00 3094.98 0.00 0.00 -3094.98 0.00 29

K (29-39) = -3562.57 0.00 5700.12 -3562.57 0.00 2850.06 30-2968.81 0.00 -3562.57 2968.81 0.00 3562.57 64

0.00 -3094.98 0.00 0.00 3094.98 0.00 39

-3562.57 0.00 2850.06 3562.57 0.00 5700.12 40

4to Nivel

Ф = 0.00 Ф = 0.0064 31 32 65 41 42 64 33 34 65 43 44

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 64 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 640.00 1932.18 0.00 0.00 -1932.18 0.00 31 0.00 1932.18 0.00 0.00 -1932.18 0.00 33

K (31-41) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 32 K (33-43) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 34-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 65 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 65

0.00 -1932.18 0.00 0.00 1932.18 0.00 41 0.00 -1932.18 0.00 0.00 1932.18 0.00 43-4830.46 0.00 3864.37 4830.46 0.00 7728.73 42 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 44

Ф = 0.00 Ф = 0.0064 35 36 65 45 46 64 37 38 65 47 48

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 64 6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 640.00 3094.98 0.00 0.00 -3094.98 0.00 35 0.00 3094.98 0.00 0.00 -3094.98 0.00 37

K (35-45) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 36 K (37-47) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 38-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 65 -6447.88 0.00 -7737.46 6447.88 0.00 7737.46 65

0.00 -3094.98 0.00 0.00 3094.98 0.00 45 0.00 -3094.98 0.00 0.00 3094.98 0.00 47-7737.46 0.00 6189.97 7737.46 0.00 12379.94 46 -7737.46 0.00 6189.97 7737.46 0.00 12379.94 48

Ф = 1.1764 39 40 65 49 50

2968.81 0.00 -3562.57 -2968.81 0.00 -3562.57 640.00 3094.98 0.00 0.00 -3094.98 0.00 39

K (39-49) = -3562.57 0.00 5700.12 -3562.57 0.00 2850.06 40-2968.81 0.00 -3562.57 2968.81 0.00 3562.57 65

0.00 -3094.98 0.00 0.00 3094.98 0.00 49-3562.57 0.00 2850.06 3562.57 0.00 5700.12 50

5to Nivel

Ф = 0.00 Ф = 0.0065 41 42 66 51 52 65 43 44 66 53 54

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 65 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 650.00 1932.18 0.00 0.00 -1932.18 0.00 41 0.00 1932.18 0.00 0.00 -1932.18 0.00 43

K (41-51) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 42 K (43-53) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 44-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 66 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 66

0.00 -1932.18 0.00 0.00 1932.18 0.00 51 0.00 -1932.18 0.00 0.00 1932.18 0.00 53-4830.46 0.00 3864.37 4830.46 0.00 7728.73 52 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 54

Ф = 0.00 Ф = 0.0065 45 46 66 55 56 65 47 48 66 57 58

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 65 6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 650.00 3094.98 0.00 0.00 -3094.98 0.00 45 0.00 3094.98 0.00 0.00 -3094.98 0.00 47

K (45-55) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 46 K (47-57) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 48-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 66 -6447.88 0.00 -7737.46 6447.88 0.00 7737.46 66

0.00 -3094.98 0.00 0.00 3094.98 0.00 55 0.00 -3094.98 0.00 0.00 3094.98 0.00 57-7737.46 0.00 6189.97 7737.46 0.00 12379.94 56 -7737.46 0.00 6189.97 7737.46 0.00 12379.94 58

Ф = 1.1765 49 50 66 59 60

2968.81 0.00 -3562.57 -2968.81 0.00 -3562.57 650.00 3094.98 0.00 0.00 -3094.98 0.00 49

K (49-59) = -3562.57 0.00 5700.12 -3562.57 0.00 2850.06 50-2968.81 0.00 -3562.57 2968.81 0.00 3562.57 66

0.00 -3094.98 0.00 0.00 3094.98 0.00 59-3562.57 0.00 2850.06 3562.57 0.00 5700.12 60


1 2 3 4 5 6 7 8 9 10 11 12 13 14 151 5668.37 3773.80 -2515.86 3773.80 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.002 3773.80 20157.63 -3773.80 3773.80 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.003 -2515.86 -3773.80 5906.81 -2989.34 -238.44 784.46 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.004 3773.80 3773.80 -2989.34 23598.78 -784.46 1720.58 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.005 0.00 0.00 -238.44 -784.46 6390.35 1392.38 -1102.20 2176.84 0.00 0.00 0.00 0.00 0.00 0.00 -3094.986 0.00 0.00 784.46 1720.58 1392.38 29372.35 -2176.84 2866.17 0.00 0.00 0.00 0.00 0.00 0.00 0.007 0.00 0.00 0.00 0.00 -1102.20 -2176.84 22735.97 33202.50 -16584.06 16584.06 0.00 0.00 0.00 0.00 0.008 0.00 0.00 0.00 0.00 2176.84 2866.17 33202.50 69312.34 -35379.34 34771.26 0.00 0.00 0.00 0.00 0.009 0.00 0.00 0.00 0.00 0.00 0.00 -16584.06 -35379.34 21633.78 -16584.06 0.00 0.00 0.00 0.00 0.00

10 0.00 0.00 0.00 0.00 0.00 0.00 16584.06 34771.26 -16584.06 31150.34 0.00 0.00 0.00 0.00 0.0011 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6380.23 3773.80 -2515.86 3773.80 0.0012 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3773.80 23005.06 -3773.80 3773.80 0.0013 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2515.86 -3773.80 6618.67 -2989.34 -238.4414 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 3773.80 3773.80 -2989.34 26446.21 -784.4615 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -238.44 -784.46 7530.6016 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 784.46 1720.58 1392.3817 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1102.2018 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 2176.8419 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.0020 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2850.06 0.00 0.00 0.00 0.00 0.0021 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.0022 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.0023 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.0024 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.0025 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.9826 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0027 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0028 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0029 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0030 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0031 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

[K] =32 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0033 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0034 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0035 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0036 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0037 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0038 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0039 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0040 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0041 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0042 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0043 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0044 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0045 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0046 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0047 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0048 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0049 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0050 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0051 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0052 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0053 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0054 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0055 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0056 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0057 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0058 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0059 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0060 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0061 0.00 -2903.63 0.00 -2903.63 0.00 -4651.05 0.00 -4651.05 0.00 -1459.33 0.00 -4830.46 0.00 -4830.46 0.0062 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 -7737.46 0.00 -3562.57 0.00 0.00 0.00 0.00 0.0063 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.0064 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0065 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0066 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

[K] = Kvv kvu

Kuv kuu

1 2 3 4 5 6 7 8 9 10 11 12 13 14 151 5668.37 3773.80 -2515.86 3773.80 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.002 3773.80 20157.63 -3773.80 3773.80 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.003 -2515.86 -3773.80 5906.81 -2989.34 -238.44 784.46 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.004 3773.80 3773.80 -2989.34 23598.78 -784.46 1720.58 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.005 0.00 0.00 -238.44 -784.46 6390.35 1392.38 -1102.20 2176.84 0.00 0.00 0.00 0.00 0.00 0.00 -3094.986 0.00 0.00 784.46 1720.58 1392.38 29372.35 -2176.84 2866.17 0.00 0.00 0.00 0.00 0.00 0.00 0.007 0.00 0.00 0.00 0.00 -1102.20 -2176.84 22735.97 33202.50 -16584.06 16584.06 0.00 0.00 0.00 0.00 0.008 0.00 0.00 0.00 0.00 2176.84 2866.17 33202.50 69312.34 -35379.34 34771.26 0.00 0.00 0.00 0.00 0.009 0.00 0.00 0.00 0.00 0.00 0.00 -16584.06 -35379.34 21633.78 -16584.06 0.00 0.00 0.00 0.00 0.00

10 0.00 0.00 0.00 0.00 0.00 0.00 16584.06 34771.26 -16584.06 31150.34 0.00 0.00 0.00 0.00 0.0011 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6380.23 3773.80 -2515.86 3773.80 0.0012 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3773.80 23005.06 -3773.80 3773.80 0.0013 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2515.86 -3773.80 6618.67 -2989.34 -238.4414 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 3773.80 3773.80 -2989.34 26446.21 -784.4615 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -238.44 -784.46 7530.6016 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 784.46 1720.58 1392.3817 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1102.2018 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 2176.8419 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.0020 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2850.06 0.00 0.00 0.00 0.00 0.0021 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.0022 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.0023 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.0024 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.0025 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.9826 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0027 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0028 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

[Kvv] =29 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0030 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0031 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0032 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0033 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0034 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0035 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0036 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0037 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0038 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0039 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0040 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0041 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0042 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0043 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0044 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0045 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0046 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0047 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0048 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0049 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0050 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0051 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0052 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0053 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0054 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0055 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0056 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0057 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0058 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0059 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0060 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

61 0.00 -2903.63 0.00 -2903.63 0.00 -4651.05 0.00 -4651.05 0.00 -1459.33 0.00 -4830.46 0.00 -4830.46 0.0062 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 -7737.46 0.00 -3562.57 0.00 0.00 0.00 0.00 0.00

[Kuv] = 63 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.0064 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0065 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0066 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

4.39E-04 -3.02E-05 2.43E-04 -3.14E-05 5.09E-05 -2.01E-06 3.09E-05 -1.66E-05 3.74E-06 4.56E-06 3.35E-04 -3.43E-06 2.71E-04 -8.59E-06 7.07E-05-3.02E-05 6.26E-05 2.66E-05 -2.16E-06 1.92E-06 -5.84E-07 5.00E-07 -3.74E-07 -1.56E-07 7.26E-08 -5.23E-06 -1.03E-05 1.24E-06 2.77E-06 1.76E-062.43E-04 2.66E-05 3.96E-04 1.07E-05 7.48E-05 -8.74E-06 3.73E-05 -2.22E-05 6.73E-07 5.81E-06 2.70E-04 1.31E-07 2.95E-04 -3.24E-06 8.84E-05-3.14E-05 -2.16E-06 1.07E-05 5.09E-05 1.18E-05 -3.60E-06 2.79E-06 -2.64E-06 -1.69E-06 5.99E-07 -1.09E-05 2.69E-06 -3.82E-06 -6.84E-06 6.25E-065.09E-05 1.92E-06 7.48E-05 1.18E-05 3.98E-04 1.88E-05 1.98E-04 -2.29E-04 -1.63E-04 7.02E-05 7.88E-05 1.74E-06 9.88E-05 6.36E-06 2.66E-04-2.01E-06 -5.84E-07 -8.74E-06 -3.60E-06 1.88E-05 4.46E-05 3.81E-05 -5.86E-05 -5.02E-05 2.03E-05 -2.68E-06 -1.33E-08 -1.60E-06 1.70E-06 5.66E-063.09E-05 5.00E-07 3.73E-05 2.79E-06 1.98E-04 3.81E-05 3.22E-04 -2.23E-04 -5.13E-05 5.68E-05 4.86E-05 8.52E-07 5.94E-05 4.35E-06 1.51E-04-1.66E-05 -3.74E-07 -2.22E-05 -2.64E-06 -2.29E-04 -5.86E-05 -2.23E-04 4.72E-04 4.77E-04 -1.68E-04 -2.58E-05 -8.69E-07 -3.67E-05 -4.88E-06 -8.64E-053.74E-06 -1.56E-07 6.73E-07 -1.69E-06 -1.63E-04 -5.02E-05 -5.13E-05 4.77E-04 7.23E-04 -1.33E-04 6.48E-06 -5.28E-07 -1.97E-07 -3.32E-06 -4.32E-064.56E-06 7.26E-08 5.81E-06 5.99E-07 7.02E-05 2.03E-05 5.68E-05 -1.68E-04 -1.33E-04 1.25E-04 7.12E-06 2.59E-07 1.04E-05 1.51E-06 1.50E-053.35E-04 -5.23E-06 2.70E-04 -1.09E-05 7.88E-05 -2.68E-06 4.86E-05 -2.58E-05 6.48E-06 7.12E-06 5.99E-04 -2.51E-05 4.06E-04 -2.89E-05 1.08E-04-3.43E-06 -1.03E-05 1.31E-07 2.69E-06 1.74E-06 -1.33E-08 8.52E-07 -8.69E-07 -5.28E-07 2.59E-07 -2.51E-05 5.47E-05 2.06E-05 -2.55E-06 1.97E-062.71E-04 1.24E-06 2.95E-04 -3.82E-06 9.88E-05 -1.60E-06 5.94E-05 -3.67E-05 -1.97E-07 1.04E-05 4.06E-04 2.06E-05 5.40E-04 6.35E-06 1.34E-04-8.59E-06 2.77E-06 -3.24E-06 -6.84E-06 6.36E-06 1.70E-06 4.35E-06 -4.88E-06 -3.32E-06 1.51E-06 -2.89E-05 -2.55E-06 6.35E-06 4.55E-05 1.09E-057.07E-05 1.76E-06 8.84E-05 6.25E-06 2.66E-04 5.66E-06 1.51E-04 -8.64E-05 -4.32E-06 1.50E-05 1.08E-04 1.97E-06 1.34E-04 1.09E-05 4.29E-04-5.40E-06 -8.48E-08 -5.13E-06 1.12E-06 -1.55E-05 -1.17E-05 -1.42E-05 3.64E-05 3.63E-05 -1.53E-05 -7.14E-06 -3.90E-07 -1.31E-05 -3.38E-06 -6.58E-063.65E-05 6.12E-07 4.31E-05 2.72E-06 8.67E-05 -8.97E-06 1.32E-04 8.68E-05 2.44E-04 -4.01E-05 5.76E-05 5.49E-07 6.44E-05 2.03E-06 1.85E-04-9.46E-07 -1.99E-07 -2.82E-06 -8.93E-07 3.40E-05 2.35E-05 7.13E-05 -1.45E-04 -1.03E-04 7.82E-05 -1.23E-06 7.83E-08 -2.75E-07 8.21E-07 -4.59E-052.60E-05 1.17E-07 2.72E-05 2.37E-07 4.82E-05 5.99E-06 1.62E-04 3.87E-05 2.68E-04 1.42E-05 4.16E-05 2.84E-07 4.51E-05 1.16E-06 6.96E-05-5.21E-06 -4.83E-08 -6.11E-06 -3.75E-07 -6.71E-05 -2.10E-05 -7.12E-05 1.57E-04 1.45E-04 -7.26E-05 -8.15E-06 -2.62E-07 -1.15E-05 -1.59E-06 -1.17E-052.89E-04 -3.38E-06 2.59E-04 -7.77E-06 9.65E-05 -1.48E-06 6.25E-05 -3.20E-05 1.04E-05 8.91E-06 4.90E-04 -4.63E-06 4.20E-04 -1.14E-05 1.36E-04-2.96E-06 2.40E-06 1.95E-07 -2.56E-07 1.04E-06 6.35E-08 6.61E-07 -3.65E-07 2.56E-08 7.49E-08 -4.75E-06 -9.17E-06 6.13E-08 2.44E-06 1.73E-062.59E-04 5.79E-08 2.55E-04 -4.57E-06 1.09E-04 -1.31E-06 7.00E-05 -3.54E-05 1.17E-05 9.47E-06 4.20E-04 4.71E-08 4.35E-04 -5.43E-06 1.55E-04-6.79E-06 -2.62E-07 -3.93E-06 1.76E-06 3.29E-06 -2.44E-07 1.98E-06 -7.52E-08 1.43E-06 -2.36E-07 -1.19E-05 2.44E-06 -5.90E-06 -6.12E-06 5.78E-068.63E-05 1.17E-06 9.87E-05 4.30E-06 2.26E-04 9.13E-06 1.60E-04 -9.30E-05 1.01E-05 2.74E-05 1.35E-04 1.81E-06 1.56E-04 6.47E-06 3.40E-04-2.98E-06 3.37E-08 -3.04E-06 -1.98E-07 6.93E-06 4.14E-06 1.02E-05 -1.78E-05 -1.34E-05 8.35E-06 -5.10E-06 -4.08E-08 -4.35E-06 1.30E-06 3.09E-075.21E-05 6.36E-07 5.87E-05 2.33E-06 1.34E-04 6.63E-06 1.65E-04 -2.00E-05 1.43E-04 1.31E-05 8.22E-05 8.66E-07 9.30E-05 3.87E-06 2.01E-04-1.25E-05 -1.76E-07 -1.44E-05 -5.54E-07 -7.52E-05 -1.83E-05 -5.50E-05 1.42E-04 1.47E-04 -5.92E-05 -1.93E-05 -4.26E-07 -2.48E-05 -2.50E-06 -4.28E-053.06E-05 2.69E-07 3.33E-05 1.07E-06 2.37E-05 -1.40E-05 1.04E-04 1.55E-04 3.44E-04 -5.20E-05 4.91E-05 1.89E-07 5.12E-05 1.32E-07 1.12E-043.35E-06 7.21E-09 3.52E-06 -1.59E-08 3.33E-05 1.19E-05 3.67E-05 -8.34E-05 -7.43E-05 3.97E-05 5.22E-06 1.47E-07 7.13E-06 1.00E-06 2.15E-062.64E-04 -1.83E-06 2.45E-04 -5.85E-06 1.07E-04 -8.46E-07 7.18E-05 -3.46E-05 1.55E-05 9.67E-06 4.40E-04 -3.36E-06 4.04E-04 -8.69E-06 1.53E-04-1.54E-06 -3.33E-07 -9.33E-07 2.41E-07 7.33E-07 3.80E-08 5.99E-07 -2.42E-07 2.09E-07 7.19E-08 -3.47E-06 2.09E-06 -6.48E-07 -2.38E-07 1.16E-062.45E-04 -1.05E-06 2.34E-04 -4.54E-06 1.16E-04 -1.56E-07 7.92E-05 -3.79E-05 1.76E-05 1.07E-05 4.03E-04 -5.53E-07 3.92E-04 -5.74E-06 1.67E-04-5.07E-06 2.47E-07 -3.93E-06 6.90E-08 2.72E-06 3.51E-07 2.49E-06 -1.39E-06 4.03E-07 5.06E-07 -9.15E-06 -2.38E-07 -6.18E-06 1.65E-06 4.20E-069.24E-05 8.09E-07 1.01E-04 2.81E-06 1.77E-04 3.31E-06 1.40E-04 -3.82E-05 7.39E-05 8.57E-06 1.47E-04 1.17E-06 1.61E-04 4.27E-06 2.83E-04-4.56E-06 7.64E-09 -4.33E-06 1.66E-07 -6.11E-06 -1.94E-06 -3.84E-06 1.37E-05 1.55E-05 -5.74E-06 -7.41E-06 2.60E-08 -7.59E-06 -2.93E-07 -2.21E-065.66E-05 5.68E-07 6.25E-05 2.13E-06 1.05E-04 -3.83E-06 1.29E-04 4.91E-05 2.03E-04 -1.80E-05 8.99E-05 7.26E-07 9.85E-05 2.47E-06 1.98E-04-2.21E-06 -4.77E-08 -2.70E-06 -2.35E-07 1.15E-05 7.63E-06 2.46E-05 -4.60E-05 -3.31E-05 2.41E-05 -3.52E-06 -4.15E-09 -3.26E-06 4.93E-07 -1.36E-054.50E-05 4.21E-07 4.94E-05 1.54E-06 9.05E-05 1.14E-06 1.48E-04 3.43E-05 2.14E-04 -3.26E-06 7.16E-05 5.45E-07 7.84E-05 2.27E-06 1.55E-04-4.41E-06 -2.60E-08 -4.70E-06 -5.05E-08 -2.44E-05 -7.17E-06 -2.14E-05 5.28E-05 5.15E-05 -2.33E-05 -6.95E-06 -1.08E-07 -8.42E-06 -7.67E-07 -8.52E-062.50E-04 -1.48E-06 2.35E-04 -5.05E-06 1.13E-04 -3.52E-07 7.76E-05 -3.60E-05 1.91E-05 1.02E-05 4.14E-04 -2.13E-06 3.88E-04 -7.09E-06 1.63E-04-1.24E-06 1.13E-07 -9.11E-07 3.85E-08 4.50E-07 4.12E-08 4.96E-07 -6.68E-08 3.97E-07 2.63E-08 -2.16E-06 -3.04E-07 -1.49E-06 2.34E-07 7.84E-072.34E-04 -1.09E-06 2.23E-04 -4.21E-06 1.18E-04 6.41E-08 8.38E-05 -3.64E-05 2.47E-05 1.03E-05 3.86E-04 -1.41E-06 3.70E-04 -5.67E-06 1.72E-04-4.24E-06 3.66E-08 -3.57E-06 2.39E-07 1.15E-06 4.63E-08 1.55E-06 4.31E-07 2.18E-06 -1.57E-07 -7.26E-06 2.30E-07 -5.97E-06 9.75E-08 2.37E-069.71E-05 5.87E-07 1.03E-04 2.02E-06 1.64E-04 4.71E-06 1.43E-04 -4.04E-05 7.97E-05 1.33E-05 1.56E-04 8.98E-07 1.66E-04 3.28E-06 2.53E-04-1.50E-06 2.83E-08 -1.25E-06 7.07E-08 2.78E-06 7.86E-07 2.82E-06 -4.89E-06 -3.88E-06 2.20E-06 -2.59E-06 2.78E-08 -2.06E-06 2.54E-07 1.73E-066.65E-05 5.48E-07 7.21E-05 1.97E-06 1.24E-04 1.33E-06 1.42E-04 8.82E-06 1.59E-04 -6.37E-07 1.06E-04 7.54E-07 1.15E-04 2.85E-06 2.05E-04-1.32E-05 -3.88E-08 -1.36E-05 -6.64E-08 -2.97E-05 -5.64E-06 -1.35E-05 4.99E-05 5.99E-05 -1.92E-05 -2.12E-05 -1.21E-07 -2.28E-05 -6.97E-07 -2.28E-054.61E-05 4.70E-07 5.09E-05 1.79E-06 7.97E-05 -5.86E-06 1.26E-04 7.68E-05 2.45E-04 -2.54E-05 7.32E-05 5.58E-07 7.98E-05 1.83E-06 1.67E-044.82E-06 5.73E-09 4.89E-06 -1.33E-08 1.29E-05 3.24E-06 8.64E-06 -2.56E-05 -2.76E-05 1.08E-05 7.77E-06 4.42E-08 8.39E-06 3.19E-07 6.59E-062.45E-04 -1.36E-06 2.31E-04 -4.80E-06 1.14E-04 -2.29E-07 7.94E-05 -3.63E-05 2.04E-05 1.03E-05 4.06E-04 -1.97E-06 3.83E-04 -6.69E-06 1.66E-04-2.22E-06 1.36E-08 -1.83E-06 1.21E-07 8.18E-07 7.78E-08 9.52E-07 -1.47E-07 7.53E-07 7.01E-08 -3.86E-06 1.93E-07 -2.98E-06 1.33E-07 1.39E-062.28E-04 -1.08E-06 2.17E-04 -3.96E-06 1.21E-04 4.20E-07 8.69E-05 -3.74E-05 2.65E-05 1.09E-05 3.77E-04 -1.38E-06 3.59E-04 -5.37E-06 1.76E-04-7.07E-06 1.07E-07 -6.06E-06 3.15E-07 2.41E-06 2.91E-07 3.17E-06 -4.94E-07 2.61E-06 3.04E-07 -1.20E-05 1.15E-07 -1.02E-05 5.43E-07 4.02E-069.33E-05 4.83E-07 9.83E-05 1.66E-06 1.49E-04 4.04E-06 1.42E-04 -2.76E-05 1.01E-04 1.06E-05 1.50E-04 7.24E-07 1.59E-04 2.74E-06 2.31E-04-8.04E-06 4.33E-08 -7.57E-06 1.81E-07 -4.12E-06 -3.70E-07 1.49E-06 6.68E-06 1.24E-05 -1.87E-06 -1.33E-05 5.58E-08 -1.27E-05 1.79E-07 -3.97E-066.01E-05 5.24E-07 6.55E-05 1.91E-06 1.12E-04 7.08E-08 1.40E-04 2.35E-05 1.81E-04 -5.22E-06 9.57E-05 7.04E-07 1.04E-04 2.63E-06 1.93E-045.87E-06 7.33E-09 5.95E-06 2.65E-08 3.52E-06 -1.12E-06 -5.41E-06 2.17E-06 -5.50E-06 -2.94E-06 9.55E-06 1.31E-08 9.61E-06 -8.85E-08 9.75E-066.28E-05 5.15E-07 6.81E-05 1.91E-06 1.04E-04 -4.23E-06 1.26E-04 5.01E-05 2.00E-04 -1.86E-05 1.00E-04 6.64E-07 1.08E-04 2.16E-06 1.97E-04-6.70E-06 -1.63E-08 -6.87E-06 -3.38E-08 -1.18E-05 -1.62E-06 -2.95E-06 1.70E-05 2.32E-05 -5.81E-06 -1.08E-05 -4.83E-08 -1.14E-05 -2.15E-07 -1.15E-05

0.3847 -0.1324 0.1252 -0.0937 0.8942 0.0231 0.5548 -1.3608 -1.7674 0.2665 0.5239 -0.2225 0.1845 -0.1574 0.71610.5805 -0.2942 0.1787 -0.1905 1.7018 0.1244 1.4171 -3.2441 -3.5929 0.9470 0.5236 0.0783 0.5003 0.0623 0.81800.2257 0.0396 0.1930 0.0188 0.0853 -0.0449 -0.3129 0.3760 -0.0338 -0.2978 0.5251 -0.2571 0.1607 -0.1874 0.51220.2777 -0.0099 0.2596 -0.0027 0.5431 0.0940 0.2452 -0.9206 -1.1237 0.3464 0.4522 0.0365 0.4265 0.0242 0.40950.1855 -0.0001 0.1698 -0.0044 0.0593 -0.0049 -0.0782 -0.0561 -0.2029 -0.0053 0.3145 -0.0106 0.2751 -0.0088 0.09660.0374 0.0003 0.0439 0.0023 0.1235 0.0102 0.0214 -0.1331 -0.1957 0.0377 0.0576 0.0028 0.0704 0.0039 0.1543

[K-1vv] =

[Kuv]*[K-1vv] =

14482.75 12084.36 8976.46 2597.24 1208.45 780.7312084.36 36934.39 -3147.48 17098.62 682.09 1891.528976.46 -3147.48 20270.30 -1591.87 9280.40 510.442597.24 17098.62 -1591.87 23548.51 584.51 10274.351208.45 682.09 9280.40 584.51 13025.45 -4234.41780.73 1891.52 510.44 10274.35 -4234.41 13661.39


30299.41 -23915.34 0.00 0.00 0.00 0.00 14482.75 12084.36 8976.46 2597.24 1208.45 780.73-23915.34 47830.69 -23915.34 0.00 0.00 0.00 12084.36 36934.39 -3147.48 17098.62 682.09 1891.52

= 0.00 -23915.34 47830.69 -23915.34 0.00 0.00 - 8976.46 -3147.48 20270.30 -1591.87 9280.40 510.440.00 0.00 -23915.34 47830.69 -23915.34 0.00 2597.24 17098.62 -1591.87 23548.51 584.51 10274.350.00 0.00 0.00 -23915.34 47830.69 -23915.34 1208.45 682.09 9280.40 584.51 13025.45 -4234.410.00 0.00 0.00 0.00 -23915.34 23915.34 780.73 1891.52 510.44 10274.35 -4234.41 13661.39

15816.66 -35999.70 -8976.46 -2597.24 -1208.45 -780.73-35999.70 10896.29 -20767.86 -17098.62 -682.09 -1891.52

[ KL D] = -8976.46 -20767.86 27560.39 -22323.47 -9280.40 -510.44-2597.24 -17098.62 -22323.47 24282.18 -24499.86 -10274.35

-1208.45 -682.09 -9280.40 -24499.86 34805.24 -19680.93-780.73 -1891.52 -510.44 -10274.35 -19680.93 10253.96


16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 330.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 2850.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

784.46 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.001720.58 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.001392.38 -1102.20 2176.84 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

33933.38 -2176.84 2866.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00-2176.84 23876.23 33202.50 -16584.06 16584.06 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.002866.17 33202.50 73873.37 -35379.34 34771.26 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00

0.00 -16584.06 -35379.34 22774.03 -16584.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.000.00 16584.06 34771.26 -16584.06 31522.23 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2850.06 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 6380.23 3773.80 -2515.86 3773.80 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.000.00 0.00 0.00 0.00 0.00 3773.80 23005.06 -3773.80 3773.80 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.000.00 0.00 0.00 0.00 0.00 -2515.86 -3773.80 6618.67 -2989.34 -238.44 784.46 0.00 0.00 0.00 0.00 0.00 0.00 -1932.180.00 0.00 0.00 0.00 0.00 3773.80 3773.80 -2989.34 26446.21 -784.46 1720.58 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 -238.44 -784.46 7530.60 1392.38 -1102.20 2176.84 0.00 0.00 0.00 0.00 0.00

6189.97 0.00 0.00 0.00 0.00 0.00 0.00 784.46 1720.58 1392.38 33933.38 -2176.84 2866.17 0.00 0.00 0.00 0.00 0.000.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1102.20 -2176.84 23876.23 33202.50 -16584.06 16584.06 0.00 0.00 0.000.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 2176.84 2866.17 33202.50 73873.37 -35379.34 34771.26 0.00 0.00 0.000.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -16584.06 -35379.34 22774.03 -16584.06 0.00 0.00 0.000.00 0.00 0.00 0.00 2850.06 0.00 0.00 0.00 0.00 0.00 0.00 16584.06 34771.26 -16584.06 31522.23 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6380.23 3773.80 -2515.860.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3773.80 23005.06 -3773.800.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2515.86 -3773.80 6618.670.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 3773.80 3773.80 -2989.340.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -238.440.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 784.460.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2850.06 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.180.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

-7737.46 0.00 -7737.46 0.00 -3562.57 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 -7737.46 0.00 -3562.57 0.00 0.00 0.00

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52 53 54 55 56 57 58 59 60 61 62 63 64 65 660.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 10.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 20.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 40.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 50.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4651.05 -7737.46 0.00 0.00 0.00 0.00 60.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 70.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4651.05 -7737.46 0.00 0.00 0.00 0.00 80.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 90.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1459.33 -3562.57 0.00 0.00 0.00 0.00 100.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 110.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 120.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 130.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 140.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 150.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.00 160.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 170.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.00 180.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 190.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3562.57 0.00 -3562.57 0.00 0.00 0.00 200.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 210.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 220.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 230.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 240.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 250.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 260.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 270.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 280.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 290.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3562.57 0.00 -3562.57 0.00 0.00 300.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 310.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 320.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 330.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 340.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 350.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 360.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 370.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 380.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 390.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3562.57 0.00 -3562.57 0.00 400.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 41

3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 420.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 430.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 440.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 450.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 460.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 470.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 480.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 490.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2850.06 0.00 0.00 0.00 -3562.57 0.00 -3562.57 50

3773.80 -2515.86 3773.80 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 5115276.33 -3773.80 3773.80 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 4830.46 52-3773.80 4686.48 -2989.34 -238.44 784.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 533773.80 -2989.34 18717.48 -784.46 1720.58 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 4830.46 54

0.00 -238.44 -784.46 4435.62 1392.38 -1102.20 2176.84 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 550.00 784.46 1720.58 1392.38 21553.44 -2176.84 2866.17 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 7737.46 560.00 0.00 0.00 -1102.20 -2176.84 20781.25 33202.50 -16584.06 16584.06 0.00 0.00 0.00 0.00 0.00 0.00 570.00 0.00 0.00 2176.84 2866.17 33202.50 61493.44 -35379.34 34771.26 0.00 0.00 0.00 0.00 -7737.46 7737.46 580.00 0.00 0.00 0.00 0.00 -16584.06 -35379.34 19679.05 -16584.06 0.00 0.00 0.00 0.00 0.00 0.00 590.00 0.00 0.00 0.00 0.00 16584.06 34771.26 -16584.06 25822.11 0.00 0.00 0.00 0.00 -3562.57 3562.57 600.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30299.41 -23915.34 0.00 0.00 0.00 0.00 610.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -23915.34 47830.69 -23915.34 0.00 0.00 0.00 620.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -23915.34 47830.69 -23915.34 0.00 0.00 630.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -23915.34 47830.69 -23915.34 0.00 64

-4830.46 0.00 -4830.46 0.00 -7737.46 0.00 -7737.46 0.00 -3562.57 0.00 0.00 0.00 -23915.34 47830.69 -23915.34 654830.46 0.00 4830.46 0.00 7737.46 0.00 7737.46 0.00 3562.57 0.00 0.00 0.00 0.00 -23915.34 23915.34 66

52 53 54 55 56 57 58 59 60 61 62 63 64 65 66

52 53 54 55 56 57 58 59 60 61 62 63 64 65 660.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4651.05 -7737.46 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4651.05 -7737.46 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1459.33 -3562.57 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3562.57 0.00 -3562.57 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

[Kvu] =0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3562.57 0.00 -3562.57 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3562.57 0.00 -3562.57 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.460.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.460.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.460.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.460.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2850.06 0.00 0.00 0.00 -3562.57 0.00 -3562.57

3773.80 -2515.86 3773.80 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0015276.33 -3773.80 3773.80 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 4830.46-3773.80 4686.48 -2989.34 -238.44 784.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.003773.80 -2989.34 18717.48 -784.46 1720.58 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 4830.46

0.00 -238.44 -784.46 4435.62 1392.38 -1102.20 2176.84 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 784.46 1720.58 1392.38 21553.44 -2176.84 2866.17 0.00 0.00 0.00 0.00 0.00 0.00 -7737.46 7737.460.00 0.00 0.00 -1102.20 -2176.84 20781.25 33202.50 -16584.06 16584.06 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 2176.84 2866.17 33202.50 61493.44 -35379.34 34771.26 0.00 0.00 0.00 0.00 -7737.46 7737.460.00 0.00 0.00 0.00 0.00 -16584.06 -35379.34 19679.05 -16584.06 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 16584.06 34771.26 -16584.06 25822.11 0.00 0.00 0.00 0.00 -3562.57 3562.57

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30299.41 -23915.34 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -23915.34 47830.69 -23915.34 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 [Kuu] = 0.00 -23915.34 47830.69 -23915.34 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -23915.34 47830.69 -23915.34 0.00

-4830.46 0.00 -4830.46 0.00 -7737.46 0.00 -7737.46 0.00 -3562.57 0.00 0.00 0.00 -23915.34 47830.69 -23915.344830.46 0.00 4830.46 0.00 7737.46 0.00 7737.46 0.00 3562.57 0.00 0.00 0.00 0.00 -23915.34 23915.34

52 53 54 55 56 57 58 59 60 61 62 63 64 65 66

-2.22E-06 2.28E-04 -7.07E-06 9.33E-05 -8.04E-06 6.01E-05 5.87E-06 6.28E-05 -6.70E-061.36E-08 -1.08E-06 1.07E-07 4.83E-07 4.33E-08 5.24E-07 7.33E-09 5.15E-07 -1.63E-08-1.83E-06 2.17E-04 -6.06E-06 9.83E-05 -7.57E-06 6.55E-05 5.95E-06 6.81E-05 -6.87E-061.21E-07 -3.96E-06 3.15E-07 1.66E-06 1.81E-07 1.91E-06 2.65E-08 1.91E-06 -3.38E-088.18E-07 1.21E-04 2.41E-06 1.49E-04 -4.12E-06 1.12E-04 3.52E-06 1.04E-04 -1.18E-057.78E-08 4.20E-07 2.91E-07 4.04E-06 -3.70E-07 7.08E-08 -1.12E-06 -4.23E-06 -1.62E-069.52E-07 8.69E-05 3.17E-06 1.42E-04 1.49E-06 1.40E-04 -5.41E-06 1.26E-04 -2.95E-06-1.47E-07 -3.74E-05 -4.94E-07 -2.76E-05 6.68E-06 2.35E-05 2.17E-06 5.01E-05 1.70E-057.53E-07 2.65E-05 2.61E-06 1.01E-04 1.24E-05 1.81E-04 -5.50E-06 2.00E-04 2.32E-057.01E-08 1.09E-05 3.04E-07 1.06E-05 -1.87E-06 -5.22E-06 -2.94E-06 -1.86E-05 -5.81E-06-3.86E-06 3.77E-04 -1.20E-05 1.50E-04 -1.33E-05 9.57E-05 9.55E-06 1.00E-04 -1.08E-051.93E-07 -1.38E-06 1.15E-07 7.24E-07 5.58E-08 7.04E-07 1.31E-08 6.64E-07 -4.83E-08-2.98E-06 3.59E-04 -1.02E-05 1.59E-04 -1.27E-05 1.04E-04 9.61E-06 1.08E-04 -1.14E-051.33E-07 -5.37E-06 5.43E-07 2.74E-06 1.79E-07 2.63E-06 -8.85E-08 2.16E-06 -2.15E-071.39E-06 1.76E-04 4.02E-06 2.31E-04 -3.97E-06 1.93E-04 9.75E-06 1.97E-04 -1.15E-054.77E-08 -7.59E-06 1.02E-07 -2.93E-06 1.02E-06 3.97E-06 8.38E-07 8.63E-06 2.30E-061.41E-06 1.10E-04 4.58E-06 2.05E-04 7.89E-06 2.46E-04 -3.27E-06 2.54E-04 1.06E-051.27E-07 7.68E-07 7.50E-07 1.26E-05 1.82E-07 7.06E-06 -1.09E-05 -1.98E-05 -4.40E-061.47E-06 8.91E-05 5.27E-06 2.06E-04 1.23E-05 2.71E-04 -1.84E-05 2.54E-04 1.48E-05-1.30E-07 -1.37E-05 -5.61E-07 -1.60E-05 2.42E-06 5.63E-06 5.21E-06 2.67E-05 8.32E-06-6.03E-06 5.34E-04 -1.80E-05 2.02E-04 -1.89E-05 1.27E-04 1.30E-05 1.33E-04 -1.47E-05-4.28E-07 -2.13E-06 4.47E-07 1.13E-06 4.52E-08 1.03E-06 6.02E-08 1.06E-06 -6.65E-08-4.08E-06 5.10E-04 -1.48E-05 2.15E-04 -1.81E-05 1.39E-04 1.38E-05 1.46E-04 -1.53E-055.09E-07 -8.49E-06 4.68E-07 3.53E-06 4.49E-07 4.02E-06 2.81E-07 4.48E-06 -6.46E-082.37E-06 2.40E-04 6.96E-06 3.36E-04 -6.83E-06 2.68E-04 1.34E-05 2.66E-04 -2.10E-051.25E-07 -4.23E-06 6.56E-07 5.32E-06 -1.00E-07 4.05E-06 -2.98E-06 -3.31E-06 -1.16E-062.20E-06 1.61E-04 7.46E-06 3.05E-04 9.04E-06 3.42E-04 -1.36E-05 3.22E-04 5.26E-06-3.24E-07 -3.33E-05 -1.20E-06 -3.53E-05 6.51E-06 1.86E-05 6.46E-06 5.67E-05 1.94E-051.74E-06 1.05E-04 6.07E-06 2.57E-04 2.09E-05 3.82E-04 -1.65E-05 3.96E-04 3.45E-051.54E-07 1.01E-05 7.74E-07 1.83E-05 -1.40E-06 5.32E-07 -1.05E-05 -3.05E-05 -8.15E-06-1.06E-05 7.02E-04 -2.65E-05 2.46E-04 -2.46E-05 1.51E-04 1.61E-05 1.60E-04 -1.79E-053.76E-06 -8.67E-07 -5.05E-08 1.78E-06 5.14E-08 1.39E-06 1.16E-07 1.41E-06 -1.58E-07-3.35E-06 6.79E-04 -1.91E-05 2.67E-04 -2.45E-05 1.68E-04 1.72E-05 1.76E-04 -1.97E-05-4.60E-08 -1.08E-05 3.12E-06 6.83E-06 -1.58E-07 5.33E-06 1.15E-07 4.75E-06 -5.81E-073.61E-06 2.87E-04 1.07E-05 4.37E-04 -1.01E-05 3.40E-04 2.97E-05 3.62E-04 -2.73E-053.03E-08 -1.35E-05 -3.39E-07 -6.45E-06 3.39E-06 6.32E-06 2.90E-06 1.68E-05 3.63E-062.67E-06 1.81E-04 8.72E-06 3.63E-04 1.49E-05 4.44E-04 -3.03E-06 4.61E-04 1.79E-051.11E-07 -3.69E-06 1.21E-06 2.19E-05 3.15E-06 2.55E-05 -3.18E-05 -4.18E-05 -4.47E-062.40E-06 1.50E-04 9.05E-06 3.60E-04 2.58E-05 4.97E-04 -4.75E-05 4.49E-04 3.28E-05-3.13E-07 -1.53E-05 -1.39E-06 -3.12E-05 2.37E-06 -6.93E-07 1.54E-05 4.93E-05 1.53E-05-1.72E-05 8.77E-04 -3.86E-05 2.79E-04 -3.06E-05 1.68E-04 1.81E-05 1.77E-04 -2.02E-05-1.48E-05 -4.39E-06 4.03E-06 2.56E-06 -1.40E-07 1.58E-06 2.59E-07 1.82E-06 -2.06E-07-1.33E-06 8.80E-04 -2.24E-05 3.10E-04 -3.12E-05 1.88E-04 2.14E-05 2.01E-04 -2.28E-054.58E-06 -1.28E-05 -8.35E-06 6.24E-06 2.06E-06 6.43E-06 1.19E-06 7.83E-06 -7.35E-075.83E-06 3.36E-04 1.74E-05 5.89E-04 -1.73E-05 4.08E-04 3.76E-05 4.14E-04 -5.15E-052.20E-07 -3.96E-06 2.85E-06 1.34E-05 -9.28E-06 6.30E-06 -8.16E-06 -1.25E-05 -1.56E-063.70E-06 2.23E-04 1.33E-05 4.79E-04 1.57E-05 5.62E-04 -2.63E-05 5.03E-04 -1.50E-06-1.09E-06 -4.96E-05 -4.10E-06 -8.70E-05 1.18E-05 2.01E-05 1.93E-05 1.23E-04 4.72E-052.07E-06 1.48E-04 7.40E-06 3.68E-04 4.01E-05 6.11E-04 -3.61E-05 6.51E-04 7.99E-054.20E-07 1.88E-05 1.73E-06 4.63E-05 -1.51E-07 7.10E-06 -3.10E-05 -7.46E-05 -1.97E-05-6.47E-05 1.01E-03 -8.03E-05 2.88E-04 -3.20E-05 1.73E-04 1.87E-05 1.82E-04 -2.08E-059.57E-05 4.25E-05 7.97E-08 7.52E-06 -1.84E-06 3.10E-06 3.98E-07 3.23E-06 -4.93E-074.25E-05 1.18E-03 -3.16E-06 3.51E-04 -4.71E-05 1.98E-04 2.23E-05 2.09E-04 -2.49E-057.97E-08 -3.16E-06 7.27E-05 2.91E-05 -7.49E-06 1.11E-05 1.65E-06 1.19E-05 -1.92E-067.52E-06 3.51E-04 2.91E-05 7.44E-04 -3.17E-05 4.54E-04 7.91E-05 5.30E-04 -6.31E-05-1.84E-06 -4.71E-05 -7.49E-06 -3.17E-05 5.48E-05 3.00E-05 1.21E-05 5.11E-05 -2.81E-063.10E-06 1.98E-04 1.11E-05 4.54E-04 3.00E-05 7.21E-04 2.67E-05 7.20E-04 -3.70E-053.98E-07 2.23E-05 1.65E-06 7.91E-05 1.21E-05 2.67E-05 -9.89E-05 -1.31E-04 3.50E-053.23E-06 2.09E-04 1.19E-05 5.30E-04 5.11E-05 7.20E-04 -1.31E-04 6.32E-04 1.29E-04-4.93E-07 -2.49E-05 -1.92E-06 -6.31E-05 -2.81E-06 -3.70E-05 3.50E-05 1.29E-04 1.00E-04

-0.0026 0.3050 -0.0085 0.0535 -0.0463 -0.2307 0.0587 -0.2157 -0.07500.0002 0.5782 -0.0045 0.2787 -0.0902 -0.3770 0.0110 -0.6319 -0.2093-0.0204 0.3777 -0.0244 -0.0843 -0.0776 -0.3979 0.2269 -0.0344 -0.05640.0554 0.7364 0.0214 0.5067 -0.0753 -0.4693 0.0262 -0.9696 -0.3899-0.4675 0.3347 -0.3164 -0.3693 -0.5217 -0.6520 0.7043 0.0784 -0.63880.5045 0.3393 0.3240 0.6815 0.4348 0.1077 -0.5194 -0.7286 0.3160

123456789

101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960

616263646566


PORTICO 1: 1 CRUJIAS, 6 NIVELES (Semisotano+5 Niveles)







K (-) =

*Brazos rigidos:

a = 0.00 m 0.00 m b= 0.23 m 0.00000.00 m


1era Crujia

1 2 3 4 9 10 11 12 17 18 19 201978.80 2572.43 -1978.80 2572.43 1 1978.80 2572.43 -1978.80 2572.43 9 1978.80 2572.43 -1978.80 2572.43 17

K (1-3) = 2572.43 4458.89 -2572.43 2229.44 2 K (9-11) = 2572.43 4458.89 -2572.43 2229.44 10 K (17-19) = 2572.43 4458.89 -2572.43 2229.44 18-1978.80 -2572.43 1978.80 -2572.43 3 -1978.80 -2572.43 1978.80 -2572.43 11 -1978.80 -2572.43 1978.80 -2572.43 192572.43 2229.44 -2572.43 4458.89 4 2572.43 2229.44 -2572.43 4458.89 12 2572.43 2229.44 -2572.43 4458.89 20

5 6 7 8 13 14 15 16 21 22 23 241978.80 2572.43 -1978.80 2572.43 5 1978.80 2572.43 -1978.80 2572.43 13 1978.80 2572.43 -1978.80 2572.43 21

K (5-7) = 2572.43 4458.89 -2572.43 2229.44 6 K (13-15) = 2572.43 4458.89 -2572.43 2229.44 14 K (21-23) = 2572.43 4458.89 -2572.43 2229.44 22-1978.80 -2572.43 1978.80 -2572.43 7 -1978.80 -2572.43 1978.80 -2572.43 15 -1978.80 -2572.43 1978.80 -2572.43 232572.43 2229.44 -2572.43 4458.89 8 2572.43 2229.44 -2572.43 4458.89 16 2572.43 2229.44 -2572.43 4458.89 24


Semisotano

Ф = 0.00 Ф = 0.00aH aV aM 25 1 2 bH bV bM 25 3 4

1014.12 0.00 -1926.83 -1014.12 0.00 -1926.83 aH 1014.12 0.00 -1926.83 -1014.12 0.00 -1926.83 bH0.00 1220.33 0.00 0.00 -1220.33 0.00 aV 0.00 1220.33 0.00 0.00 -1220.33 0.00 bV

K (a-1) = -1926.83 0.00 4881.31 -1926.83 0.00 2440.65 aM K (b-3) = -1926.83 0.00 4881.31 -1926.83 0.00 2440.65 bM-1014.12 0.00 -1926.83 1014.12 0.00 1926.83 25 -1014.12 0.00 -1926.83 1014.12 0.00 1926.83 25

0.00 -1220.33 0.00 0.00 1220.33 0.00 1 0.00 -1220.33 0.00 0.00 1220.33 0.00 3-1926.83 0.00 2440.65 1926.83 0.00 4881.31 2 -1926.83 0.00 2440.65 1926.83 0.00 4881.31 4

1er Nivel

Ф = 0.00 Ф = 0.0025 1 2 26 5 6 25 3 4 26 7 8

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 25 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 250.00 1932.18 0.00 0.00 -1932.18 0.00 1 0.00 1932.18 0.00 0.00 -1932.18 0.00 3

K (1-5) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 2 K (3-7) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 4-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 26 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 26

0.00 -1932.18 0.00 0.00 1932.18 0.00 5 0.00 -1932.18 0.00 0.00 1932.18 0.00 7-4830.46 0.00 3864.37 4830.46 0.00 7728.73 6 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 8

2do Nivel

Ф = 0.00 Ф = 0.0026 5 6 27 9 10 26 7 8 27 11 12

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 26 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 260.00 1932.18 0.00 0.00 -1932.18 0.00 5 0.00 1932.18 0.00 0.00 -1932.18 0.00 7

K (5-9) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 6 K (7-11) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 8-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 27 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 27

0.00 -1932.18 0.00 0.00 1932.18 0.00 9 0.00 -1932.18 0.00 0.00 1932.18 0.00 11-4830.46 0.00 3864.37 4830.46 0.00 7728.73 10 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 12

3er Nivel

Ф = 0.00 Ф = 0.0027 9 10 28 13 14 27 11 12 28 15 16

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 27 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 270.00 1932.18 0.00 0.00 -1932.18 0.00 9 0.00 1932.18 0.00 0.00 -1932.18 0.00 11

K (9-13) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 10 K (11-15) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 12-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 28 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 28

0.00 -1932.18 0.00 0.00 1932.18 0.00 13 0.00 -1932.18 0.00 0.00 1932.18 0.00 15-4830.46 0.00 3864.37 4830.46 0.00 7728.73 14 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 16

4to Nivel

Ф = 0.00 Ф = 0.0028 13 14 29 17 18 28 15 16 29 19 20

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 28 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 280.00 1932.18 0.00 0.00 -1932.18 0.00 13 0.00 1932.18 0.00 0.00 -1932.18 0.00 15

K (13-17) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 14 K (15-19) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 16-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 29 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 29

0.00 -1932.18 0.00 0.00 1932.18 0.00 17 0.00 -1932.18 0.00 0.00 1932.18 0.00 19-4830.46 0.00 3864.37 4830.46 0.00 7728.73 18 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 20

5to Nivel

Ф = 0.00 Ф = 0.00

29 17 18 30 21 22 29 19 20 30 23 244025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 29 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 29

0.00 1932.18 0.00 0.00 -1932.18 0.00 17 0.00 1932.18 0.00 0.00 -1932.18 0.00 19

K (17-21) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 18 K (19-23) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 20-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 30 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 30

0.00 -1932.18 0.00 0.00 1932.18 0.00 21 0.00 -1932.18 0.00 0.00 1932.18 0.00 23-4830.46 0.00 3864.37 4830.46 0.00 7728.73 22 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 24


1 2 3 4 5 6 7 8 9 10 11 12 13 14 151 5131.31 2572.43 -1978.80 2572.43 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.002 2572.43 17068.93 -2572.43 2229.44 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.003 -1978.80 -2572.43 5131.31 -2572.43 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.004 2572.43 2229.44 -2572.43 17068.93 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.005 -1932.18 0.00 0.00 0.00 5843.16 2572.43 -1978.80 2572.43 -1932.18 0.00 0.00 0.00 0.00 0.00 0.006 0.00 3864.37 0.00 0.00 2572.43 19916.35 -2572.43 2229.44 0.00 3864.37 0.00 0.00 0.00 0.00 0.007 0.00 0.00 -1932.18 0.00 -1978.80 -2572.43 5843.16 -2572.43 0.00 0.00 -1932.18 0.00 0.00 0.00 0.008 0.00 0.00 0.00 3864.37 2572.43 2229.44 -2572.43 19916.35 0.00 0.00 0.00 3864.37 0.00 0.00 0.009 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 5843.16 2572.43 -1978.80 2572.43 -1932.18 0.00 0.00

10 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 2572.43 19916.35 -2572.43 2229.44 0.00 3864.37 0.0011 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 -1978.80 -2572.43 5843.16 -2572.43 0.00 0.00 -1932.1812 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 2572.43 2229.44 -2572.43 19916.35 0.00 0.00 0.0013 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 5843.16 2572.43 -1978.80

[K] =14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 2572.43 19916.35 -2572.4315 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 -1978.80 -2572.43 5843.1616 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 2572.43 2229.44 -2572.4317 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.0018 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.0019 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.1820 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0021 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0022 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0023 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0024 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0025 0.00 -2903.63 0.00 -2903.63 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 0.00 0.00 0.00 0.0026 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.0027 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 0.00 0.00 -4830.46 0.0028 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.0029 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.0030 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

[K] = Kvv kvu

Kuv kuu

1 2 3 4 5 6 7 8 9 10 11 12 13 14 151 5131.31 2572.43 -1978.80 2572.43 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.002 2572.43 17068.93 -2572.43 2229.44 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.003 -1978.80 -2572.43 5131.31 -2572.43 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.004 2572.43 2229.44 -2572.43 17068.93 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.005 -1932.18 0.00 0.00 0.00 5843.16 2572.43 -1978.80 2572.43 -1932.18 0.00 0.00 0.00 0.00 0.00 0.006 0.00 3864.37 0.00 0.00 2572.43 19916.35 -2572.43 2229.44 0.00 3864.37 0.00 0.00 0.00 0.00 0.007 0.00 0.00 -1932.18 0.00 -1978.80 -2572.43 5843.16 -2572.43 0.00 0.00 -1932.18 0.00 0.00 0.00 0.008 0.00 0.00 0.00 3864.37 2572.43 2229.44 -2572.43 19916.35 0.00 0.00 0.00 3864.37 0.00 0.00 0.009 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 5843.16 2572.43 -1978.80 2572.43 -1932.18 0.00 0.00

10 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 2572.43 19916.35 -2572.43 2229.44 0.00 3864.37 0.00

[Kvv] =11 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 -1978.80 -2572.43 5843.16 -2572.43 0.00 0.00 -1932.1812 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 2572.43 2229.44 -2572.43 19916.35 0.00 0.00 0.0013 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 5843.16 2572.43 -1978.8014 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 2572.43 19916.35 -2572.4315 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 -1978.80 -2572.43 5843.1616 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 2572.43 2229.44 -2572.4317 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.0018 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.0019 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.1820 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0021 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0022 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0023 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0024 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

25 0.00 -2903.63 0.00 -2903.63 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 0.00 0.00 0.00 0.0026 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00

[Kuv] = 27 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 0.00 0.00 -4830.46 0.0028 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.0029 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.0030 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

5.06E-04 -2.52E-05 3.14E-04 -2.52E-05 4.36E-04 -1.52E-06 3.83E-04 -1.52E-06 4.18E-04 -1.61E-06 4.01E-04 -1.61E-06 4.12E-04 -2.55E-07 4.07E-04-2.52E-05 6.96E-05 2.52E-05 -2.12E-06 -3.12E-06 -1.36E-05 3.12E-06 2.85E-06 -1.77E-06 3.28E-06 1.77E-06 -5.14E-07 -3.62E-07 -6.05E-07 3.62E-073.14E-04 2.52E-05 5.06E-04 2.52E-05 3.83E-04 1.52E-06 4.36E-04 1.52E-06 4.01E-04 1.61E-06 4.18E-04 1.61E-06 4.07E-04 2.55E-07 4.12E-04-2.52E-05 -2.12E-06 2.52E-05 6.96E-05 -3.12E-06 2.85E-06 3.12E-06 -1.36E-05 -1.77E-06 -5.14E-07 1.77E-06 3.28E-06 -3.62E-07 2.69E-07 3.62E-074.36E-04 -3.12E-06 3.83E-04 -3.12E-06 7.58E-04 -2.00E-05 5.79E-04 -2.00E-05 6.94E-04 -2.23E-06 6.43E-04 -2.23E-06 6.76E-04 -1.38E-06 6.61E-04-1.52E-06 -1.36E-05 1.52E-06 2.85E-06 -2.00E-05 6.07E-05 2.00E-05 -2.67E-06 -2.14E-06 -1.21E-05 2.14E-06 2.52E-06 -1.37E-06 2.86E-06 1.37E-063.83E-04 3.12E-06 4.36E-04 3.12E-06 5.79E-04 2.00E-05 7.58E-04 2.00E-05 6.43E-04 2.23E-06 6.94E-04 2.23E-06 6.61E-04 1.38E-06 6.76E-04-1.52E-06 2.85E-06 1.52E-06 -1.36E-05 -2.00E-05 -2.67E-06 2.00E-05 6.07E-05 -2.14E-06 2.52E-06 2.14E-06 -1.21E-05 -1.37E-06 -5.00E-07 1.37E-064.18E-04 -1.77E-06 4.01E-04 -1.77E-06 6.94E-04 -2.14E-06 6.43E-04 -2.14E-06 1.02E-03 -2.01E-05 8.37E-04 -2.01E-05 9.53E-04 -2.21E-06 9.02E-04-1.61E-06 3.28E-06 1.61E-06 -5.14E-07 -2.23E-06 -1.21E-05 2.23E-06 2.52E-06 -2.01E-05 6.04E-05 2.01E-05 -2.54E-06 -2.19E-06 -1.20E-05 2.19E-064.01E-04 1.77E-06 4.18E-04 1.77E-06 6.43E-04 2.14E-06 6.94E-04 2.14E-06 8.37E-04 2.01E-05 1.02E-03 2.01E-05 9.02E-04 2.21E-06 9.53E-04-1.61E-06 -5.14E-07 1.61E-06 3.28E-06 -2.23E-06 2.52E-06 2.23E-06 -1.21E-05 -2.01E-05 -2.54E-06 2.01E-05 6.04E-05 -2.19E-06 2.50E-06 2.19E-064.12E-04 -3.62E-07 4.07E-04 -3.62E-07 6.76E-04 -1.37E-06 6.61E-04 -1.37E-06 9.53E-04 -2.19E-06 9.02E-04 -2.19E-06 1.28E-03 -2.02E-05 1.10E-03-2.55E-07 -6.05E-07 2.55E-07 2.69E-07 -1.38E-06 2.86E-06 1.38E-06 -5.00E-07 -2.21E-06 -1.20E-05 2.21E-06 2.50E-06 -2.02E-05 6.04E-05 2.02E-054.07E-04 3.62E-07 4.12E-04 3.62E-07 6.61E-04 1.37E-06 6.76E-04 1.37E-06 9.02E-04 2.19E-06 9.53E-04 2.19E-06 1.10E-03 2.02E-05 1.28E-03-2.55E-07 2.69E-07 2.55E-07 -6.05E-07 -1.38E-06 -5.00E-07 1.38E-06 2.86E-06 -2.21E-06 2.50E-06 2.21E-06 -1.20E-05 -2.02E-05 -2.55E-06 2.02E-054.10E-04 -1.42E-07 4.09E-04 -1.42E-07 6.71E-04 -2.80E-07 6.66E-04 -2.80E-07 9.35E-04 -1.39E-06 9.19E-04 -1.39E-06 1.21E-03 -2.48E-06 1.16E-03-1.14E-07 1.67E-07 1.14E-07 -4.21E-08 -2.53E-07 -5.61E-07 2.53E-07 2.41E-07 -1.33E-06 2.92E-06 1.33E-06 -5.41E-07 -1.98E-06 -1.24E-05 1.98E-064.09E-04 1.42E-07 4.10E-04 1.42E-07 6.66E-04 2.80E-07 6.71E-04 2.80E-07 9.19E-04 1.39E-06 9.35E-04 1.39E-06 1.16E-03 2.48E-06 1.21E-03-1.14E-07 -4.21E-08 1.14E-07 1.67E-07 -2.53E-07 2.41E-07 2.53E-07 -5.61E-07 -1.33E-06 -5.41E-07 1.33E-06 2.92E-06 -1.98E-06 2.64E-06 1.98E-064.10E-04 -4.64E-08 4.09E-04 -4.64E-08 6.70E-04 -1.88E-07 6.67E-04 -1.88E-07 9.31E-04 -2.56E-07 9.24E-04 -2.56E-07 1.20E-03 -2.84E-06 1.17E-03-8.20E-08 -4.07E-08 8.20E-08 4.04E-08 -3.02E-07 2.65E-07 3.02E-07 -4.57E-08 -8.48E-07 -8.99E-07 8.48E-07 4.44E-07 -3.74E-06 5.24E-06 3.74E-064.09E-04 4.64E-08 4.10E-04 4.64E-08 6.67E-04 1.88E-07 6.70E-04 1.88E-07 9.24E-04 2.56E-07 9.31E-04 2.56E-07 1.17E-03 2.84E-06 1.20E-03-8.20E-08 4.04E-08 8.20E-08 -4.07E-08 -3.02E-07 -4.57E-08 3.02E-07 2.65E-07 -8.48E-07 4.44E-07 8.48E-07 -8.99E-07 -3.74E-06 -5.95E-07 3.74E-06

0.1613 -0.1437 -0.1613 -0.1437 0.2111 -0.2487 -0.2111 -0.2487 0.0309 0.0380 -0.0309 0.0380 0.0154 -0.0104 -0.01540.2594 -0.3391 -0.2594 -0.3391 0.0517 0.0982 -0.0517 0.0982 0.2113 -0.2926 -0.2113 -0.2926 0.0246 0.0475 -0.02460.0171 0.0538 -0.0171 0.0538 0.2063 -0.2915 -0.2063 -0.2915 0.0420 0.0919 -0.0420 0.0919 0.2084 -0.2911 -0.20840.0166 -0.0140 -0.0166 -0.0140 0.0240 0.0476 -0.0240 0.0476 0.2071 -0.2908 -0.2071 -0.2908 0.0403 0.0930 -0.04030.0033 0.0016 -0.0033 0.0016 0.0163 -0.0124 -0.0163 -0.0124 0.0296 0.0480 -0.0296 0.0480 0.2313 -0.3021 -0.23130.0003 -0.0006 -0.0003 -0.0006 -0.0005 0.0026 0.0005 0.0026 0.0047 -0.0137 -0.0047 -0.0137 -0.0170 0.0696 0.0170

3237.22 1020.42 2503.53 -378.88 110.83 -21.661020.42 6103.61 -1407.49 2944.00 -479.66 138.072503.53 -1407.49 5627.97 -1358.17 3039.09 -697.46-378.88 2944.00 -1358.17 5665.72 -1676.19 3634.58110.83 -479.66 3039.09 -1676.19 8261.81 -6555.24-21.66 138.07 -697.46 3634.58 -6555.24 9385.29


10079.01 -8050.76 0.00 0.00 0.00 0.00 3237.22 1020.42 2503.53 -378.88 110.83 -21.66-8050.76 16101.53 -8050.76 0.00 0.00 0.00 1020.42 6103.61 -1407.49 2944.00 -479.66 138.07

= 0.00 -8050.76 16101.53 -8050.76 0.00 0.00 - 2503.53 -1407.49 5627.97 -1358.17 3039.09 -697.460.00 0.00 -8050.76 16101.53 -8050.76 0.00 -378.88 2944.00 -1358.17 5665.72 -1676.19 3634.580.00 0.00 0.00 -8050.76 16101.53 -8050.76 110.83 -479.66 3039.09 -1676.19 8261.81 -6555.240.00 0.00 0.00 0.00 -8050.76 8050.76 -21.66 138.07 -697.46 3634.58 -6555.24 9385.29

6841.79 -9071.18 -2503.53 378.88 -110.83 21.66-9071.18 9997.92 -6643.27 -2944.00 479.66 -138.07

[ KL 1] = -2503.53 -6643.27 10473.56 -6692.59 -3039.09 697.46378.88 -2944.00 -6692.59 10435.81 -6374.58 -3634.58-110.83 479.66 -3039.09 -6374.58 7839.72 -1495.5321.66 -138.07 697.46 -3634.58 -1495.53 -1334.52

[K-1vv] =

[Kuv]*[K-1vv] =


16 17 18 19 20 21 22 23 24 25 26 27 28 29 300.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 10.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 20.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 40.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 50.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 60.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 70.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 80.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 90.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 100.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 11

3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 122572.43 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 132229.44 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 14-2572.43 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1519916.35 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 16

0.00 5843.16 2572.43 -1978.80 2572.43 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 170.00 2572.43 19916.35 -2572.43 2229.44 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 180.00 -1978.80 -2572.43 5843.16 -2572.43 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 19

3864.37 2572.43 2229.44 -2572.43 19916.35 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 -4830.46 0.00 -4830.46 200.00 -1932.18 0.00 0.00 0.00 3910.98 2572.43 -1978.80 2572.43 0.00 0.00 0.00 0.00 0.00 0.00 210.00 0.00 3864.37 0.00 0.00 2572.43 12187.62 -2572.43 2229.44 0.00 0.00 0.00 0.00 -4830.46 4830.46 220.00 0.00 0.00 -1932.18 0.00 -1978.80 -2572.43 3910.98 -2572.43 0.00 0.00 0.00 0.00 0.00 0.00 230.00 0.00 0.00 0.00 3864.37 2572.43 2229.44 -2572.43 12187.62 0.00 0.00 0.00 0.00 -4830.46 4830.46 240.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 10079.01 -8050.76 0.00 0.00 0.00 0.00 250.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -8050.76 16101.53 -8050.76 0.00 0.00 0.00 26

-4830.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -8050.76 16101.53 -8050.76 0.00 0.00 270.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 0.00 0.00 0.00 -8050.76 16101.53 -8050.76 0.00 28

-4830.46 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 -8050.76 16101.53 -8050.76 290.00 0.00 -4830.46 0.00 -4830.46 0.00 4830.46 0.00 4830.46 0.00 0.00 0.00 0.00 -8050.76 8050.76 3016 17 18 19 20 21 22 23 24 25 26 27 28 29 30

16 17 18 19 20 21 22 23 24 25 26 27 28 29 300.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 10.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 20.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 40.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 50.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 60.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 70.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 80.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 90.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 100.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

[Kvu] =0.00 0.00 0.00 0.00 0.00 0.00 11

3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 122572.43 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 132229.44 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 14-2572.43 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1519916.35 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 16

0.00 5843.16 2572.43 -1978.80 2572.43 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 170.00 2572.43 19916.35 -2572.43 2229.44 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 180.00 -1978.80 -2572.43 5843.16 -2572.43 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 19

3864.37 2572.43 2229.44 -2572.43 19916.35 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 -4830.46 0.00 -4830.46 200.00 -1932.18 0.00 0.00 0.00 3910.98 2572.43 -1978.80 2572.43 0.00 0.00 0.00 0.00 0.00 0.00 210.00 0.00 3864.37 0.00 0.00 2572.43 12187.62 -2572.43 2229.44 0.00 0.00 0.00 0.00 -4830.46 4830.46 220.00 0.00 0.00 -1932.18 0.00 -1978.80 -2572.43 3910.98 -2572.43 0.00 0.00 0.00 0.00 0.00 0.00 230.00 0.00 0.00 0.00 3864.37 2572.43 2229.44 -2572.43 12187.62 0.00 0.00 0.00 0.00 -4830.46 4830.46 24

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 10079.01 -8050.76 0.00 0.00 0.00 0.00 250.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -8050.76 16101.53 -8050.76 0.00 0.00 0.00 26

-4830.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 [Kuu] = 0.00 -8050.76 16101.53 -8050.76 0.00 0.00 270.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 0.00 0.00 0.00 -8050.76 16101.53 -8050.76 0.00 28

-4830.46 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 -8050.76 16101.53 -8050.76 290.00 0.00 -4830.46 0.00 -4830.46 0.00 4830.46 0.00 4830.46 0.00 0.00 0.00 0.00 -8050.76 8050.76 30

16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

-2.55E-07 4.10E-04 -1.14E-07 4.09E-04 -1.14E-07 4.10E-04 -8.20E-08 4.09E-04 -8.20E-082.69E-07 -1.42E-07 1.67E-07 1.42E-07 -4.21E-08 -4.64E-08 -4.07E-08 4.64E-08 4.04E-082.55E-07 4.09E-04 1.14E-07 4.10E-04 1.14E-07 4.09E-04 8.20E-08 4.10E-04 8.20E-08-6.05E-07 -1.42E-07 -4.21E-08 1.42E-07 1.67E-07 -4.64E-08 4.04E-08 4.64E-08 -4.07E-08-1.38E-06 6.71E-04 -2.53E-07 6.66E-04 -2.53E-07 6.70E-04 -3.02E-07 6.67E-04 -3.02E-07-5.00E-07 -2.80E-07 -5.61E-07 2.80E-07 2.41E-07 -1.88E-07 2.65E-07 1.88E-07 -4.57E-081.38E-06 6.66E-04 2.53E-07 6.71E-04 2.53E-07 6.67E-04 3.02E-07 6.70E-04 3.02E-072.86E-06 -2.80E-07 2.41E-07 2.80E-07 -5.61E-07 -1.88E-07 -4.57E-08 1.88E-07 2.65E-07-2.21E-06 9.35E-04 -1.33E-06 9.19E-04 -1.33E-06 9.31E-04 -8.48E-07 9.24E-04 -8.48E-072.50E-06 -1.39E-06 2.92E-06 1.39E-06 -5.41E-07 -2.56E-07 -8.99E-07 2.56E-07 4.44E-072.21E-06 9.19E-04 1.33E-06 9.35E-04 1.33E-06 9.24E-04 8.48E-07 9.31E-04 8.48E-07-1.20E-05 -1.39E-06 -5.41E-07 1.39E-06 2.92E-06 -2.56E-07 4.44E-07 2.56E-07 -8.99E-07-2.02E-05 1.21E-03 -1.98E-06 1.16E-03 -1.98E-06 1.20E-03 -3.74E-06 1.17E-03 -3.74E-06-2.55E-06 -2.48E-06 -1.24E-05 2.48E-06 2.64E-06 -2.84E-06 5.24E-06 2.84E-06 -5.95E-072.02E-05 1.16E-03 1.98E-06 1.21E-03 1.98E-06 1.17E-03 3.74E-06 1.20E-03 3.74E-066.04E-05 -2.48E-06 2.64E-06 2.48E-06 -1.24E-05 -2.84E-06 -5.95E-07 2.84E-06 5.24E-06-2.48E-06 1.54E-03 -1.97E-05 1.35E-03 -1.97E-05 1.48E-03 -8.10E-06 1.41E-03 -8.10E-062.64E-06 -1.97E-05 6.21E-05 1.97E-05 -3.27E-06 6.25E-07 -2.08E-05 -6.25E-07 4.58E-062.48E-06 1.35E-03 1.97E-05 1.54E-03 1.97E-05 1.41E-03 8.10E-06 1.48E-03 8.10E-06-1.24E-05 -1.97E-05 -3.27E-06 1.97E-05 6.21E-05 6.25E-07 4.58E-06 -6.25E-07 -2.08E-05-2.84E-06 1.48E-03 6.25E-07 1.41E-03 6.25E-07 1.85E-03 -5.06E-05 1.56E-03 -5.06E-05-5.95E-07 -8.10E-06 -2.08E-05 8.10E-06 4.58E-06 -5.06E-05 1.10E-04 5.06E-05 -2.08E-072.84E-06 1.41E-03 -6.25E-07 1.48E-03 -6.25E-07 1.56E-03 5.06E-05 1.85E-03 5.06E-055.24E-06 -8.10E-06 4.58E-06 8.10E-06 -2.08E-05 -5.06E-05 -2.08E-07 5.06E-05 1.10E-04

-0.0104 0.0035 0.0012 -0.0035 0.0012 0.0021 -0.0011 -0.0021 -0.00110.0475 0.0148 -0.0121 -0.0148 -0.0121 0.0029 0.0022 -0.0029 0.0022-0.2911 0.0267 0.0487 -0.0267 0.0487 0.0293 -0.0235 -0.0293 -0.02350.0930 0.2036 -0.2957 -0.2036 -0.2957 -0.0036 0.0805 0.0036 0.0805-0.3021 0.1022 0.1255 -0.1022 0.1255 0.5166 -0.5531 -0.5166 -0.55310.0696 0.1119 -0.3625 -0.1119 -0.3625 -0.4952 0.6089 0.4952 0.6089









K (-) =

*Brazos rigidos:

a = 0.00 m 0.00 m b= 0.20 m 0.00000.00 m


1era Crujia 2da Crujia 3era Crujia

1 2 3 4 3 4 5 6 5 6 7 81396.92 2039.51 -1396.92 2039.51 1 1978.80 2572.43 -1978.80 2572.43 3 2307.97 2850.34 -2307.97 2850.34 5

K (1-3) = 2039.51 3970.24 -2039.51 1985.12 2 K (3-5) = 2572.43 4458.89 -2572.43 2229.44 4 K (5-7) = 2850.34 4693.56 -2850.34 2346.78 6-1396.92 -2039.51 1396.92 -2039.51 3 -1978.80 -2572.43 1978.80 -2572.43 5 -2307.97 -2850.34 2307.97 -2850.34 72039.51 1985.12 -2039.51 3970.24 4 2572.43 2229.44 -2572.43 4458.89 6 2850.34 2346.78 -2850.34 4693.56 8

9 10 11 12 11 12 13 14 13 14 15 161396.92 2039.51 -1396.92 2039.51 9 1978.80 2572.43 -1978.80 2572.43 11 2307.97 2850.34 -2307.97 2850.34 13

K (9-11) = 2039.51 3970.24 -2039.51 1985.12 10 K (11-13) = 2572.43 4458.89 -2572.43 2229.44 12 K (13-15) = 2850.34 4693.56 -2850.34 2346.78 14-1396.92 -2039.51 1396.92 -2039.51 11 -1978.80 -2572.43 1978.80 -2572.43 13 -2307.97 -2850.34 2307.97 -2850.34 152039.51 1985.12 -2039.51 3970.24 12 2572.43 2229.44 -2572.43 4458.89 14 2850.34 2346.78 -2850.34 4693.56 16

17 18 19 20 19 20 21 22 21 22 23 241396.92 2039.51 -1396.92 2039.51 17 1978.80 2572.43 -1978.80 2572.43 19 2307.97 2850.34 -2307.97 2850.34 21

K (17-19) = 2039.51 3970.24 -2039.51 1985.12 18 K (19-21) = 2572.43 4458.89 -2572.43 2229.44 20 K (21-23) = 2850.34 4693.56 -2850.34 2346.78 22-1396.92 -2039.51 1396.92 -2039.51 19 -1978.80 -2572.43 1978.80 -2572.43 21 -2307.97 -2850.34 2307.97 -2850.34 232039.51 1985.12 -2039.51 3970.24 20 2572.43 2229.44 -2572.43 4458.89 22 2850.34 2346.78 -2850.34 4693.56 24

25 26 27 28 27 28 29 30 29 30 31 321396.92 2039.51 -1396.92 2039.51 25 1978.80 2572.43 -1978.80 2572.43 27 2307.97 2850.34 -2307.97 2850.34 29

K (25-27) = 2039.51 3970.24 -2039.51 1985.12 26 K (27-29) = 2572.43 4458.89 -2572.43 2229.44 28 K (29-31) = 2850.34 4693.56 -2850.34 2346.78 30-1396.92 -2039.51 1396.92 -2039.51 27 -1978.80 -2572.43 1978.80 -2572.43 29 -2307.97 -2850.34 2307.97 -2850.34 312039.51 1985.12 -2039.51 3970.24 28 2572.43 2229.44 -2572.43 4458.89 30 2850.34 2346.78 -2850.34 4693.56 32

33 34 35 36 35 36 37 38 37 38 39 401396.92 2039.51 -1396.92 2039.51 33 1978.80 2572.43 -1978.80 2572.43 35 2307.97 2850.34 -2307.97 2850.34 37

K (33-35) = 2039.51 3970.24 -2039.51 1985.12 34 K (35-37) = 2572.43 4458.89 -2572.43 2229.44 36 K (37-39) = 2850.34 4693.56 -2850.34 2346.78 38-1396.92 -2039.51 1396.92 -2039.51 35 -1978.80 -2572.43 1978.80 -2572.43 37 -2307.97 -2850.34 2307.97 -2850.34 392039.51 1985.12 -2039.51 3970.24 36 2572.43 2229.44 -2572.43 4458.89 38 2850.34 2346.78 -2850.34 4693.56 40

41 42 43 44 43 44 45 46 45 46 47 481396.92 2039.51 -1396.92 2039.51 41 1978.80 2572.43 -1978.80 2572.43 43 2307.97 2850.34 -2307.97 2850.34 45

K (41-43) = 2039.51 3970.24 -2039.51 1985.12 42 K (43-45) = 2572.43 4458.89 -2572.43 2229.44 44 K (45-47) = 2850.34 4693.56 -2850.34 2346.78 46-1396.92 -2039.51 1396.92 -2039.51 43 -1978.80 -2572.43 1978.80 -2572.43 45 -2307.97 -2850.34 2307.97 -2850.34 472039.51 1985.12 -2039.51 3970.24 44 2572.43 2229.44 -2572.43 4458.89 46 2850.34 2346.78 -2850.34 4693.56 48


Semisotano

Ф = 0.00 Ф = 0.00aH aV aM 49 1 2 bH bV bM 49 3 4

1014.12 0.00 -1926.83 -1014.12 0.00 -1926.83 aH 1014.12 0.00 -1926.83 -1014.12 0.00 -1926.83 bH0.00 1220.33 0.00 0.00 -1220.33 0.00 aV 0.00 1220.33 0.00 0.00 -1220.33 0.00 bV

K (a-1) = -1926.83 0.00 4881.31 -1926.83 0.00 2440.65 aM K (b-3) = -1926.83 0.00 4881.31 -1926.83 0.00 2440.65 bM-1014.12 0.00 -1926.83 1014.12 0.00 1926.83 49 -1014.12 0.00 -1926.83 1014.12 0.00 1926.83 49

0.00 -1220.33 0.00 0.00 1220.33 0.00 1 0.00 -1220.33 0.00 0.00 1220.33 0.00 3-1926.83 0.00 2440.65 1926.83 0.00 4881.31 2 -1926.83 0.00 2440.65 1926.83 0.00 4881.31 4

Ф = 0.00 Ф = 0.00cH cV cM 49 5 6 dH dV dM 49 7 8

1624.43 0.00 -3086.41 -1624.43 0.00 -3086.41 cH 1624.43 0.00 -3086.41 -1624.43 0.00 -3086.41 dH0.00 1954.73 0.00 0.00 -1954.73 0.00 cV 0.00 1954.73 0.00 0.00 -1954.73 0.00 dV

K (c-5) = -3086.41 0.00 7818.91 -3086.41 0.00 3909.45 cM K (d-7) = -3086.41 0.00 7818.91 -3086.41 0.00 3909.45 dM-1624.43 0.00 -3086.41 1624.43 0.00 3086.41 49 -1624.43 0.00 -3086.41 1624.43 0.00 3086.41 49

0.00 -1954.73 0.00 0.00 1954.73 0.00 5 0.00 -1954.73 0.00 0.00 1954.73 0.00 7-3086.41 0.00 3909.45 3086.41 0.00 7818.91 6 -3086.41 0.00 3909.45 3086.41 0.00 7818.91 8

1er Nivel

Ф = 0.00 Ф = 0.0049 1 2 50 9 10 49 3 4 50 11 12

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 49 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 490.00 1932.18 0.00 0.00 -1932.18 0.00 1 0.00 1932.18 0.00 0.00 -1932.18 0.00 3

K (1-9) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 2 K (3-11) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 4-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 50 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 50

0.00 -1932.18 0.00 0.00 1932.18 0.00 9 0.00 -1932.18 0.00 0.00 1932.18 0.00 11

-4830.46 0.00 3864.37 4830.46 0.00 7728.73 10 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 12

Ф = 0.00 Ф = 0.0049 5 6 50 13 14 49 7 8 50 15 16

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 49 6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 490.00 3094.98 0.00 0.00 -3094.98 0.00 5 0.00 3094.98 0.00 0.00 -3094.98 0.00 7

K (5-13) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 6 K (7-15) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 8-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 50 -6447.88 0.00 -7737.46 6447.88 0.00 7737.46 50

0.00 -3094.98 0.00 0.00 3094.98 0.00 13 0.00 -3094.98 0.00 0.00 3094.98 0.00 15-7737.46 0.00 6189.97 7737.46 0.00 12379.94 14 -7737.46 0.00 6189.97 7737.46 0.00 12379.94 16

2do Nivel

Ф = 0.00 Ф = 0.0050 9 10 51 17 18 50 11 12 51 19 20

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 50 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 500.00 1932.18 0.00 0.00 -1932.18 0.00 9 0.00 1932.18 0.00 0.00 -1932.18 0.00 11

K (9-17) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 10 K (11-19) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 12-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 51 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 51

0.00 -1932.18 0.00 0.00 1932.18 0.00 17 0.00 -1932.18 0.00 0.00 1932.18 0.00 19-4830.46 0.00 3864.37 4830.46 0.00 7728.73 18 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 20

Ф = 0.00 Ф = 0.0050 13 14 51 21 22 50 15 16 51 23 24

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 50 6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 500.00 3094.98 0.00 0.00 -3094.98 0.00 13 0.00 3094.98 0.00 0.00 -3094.98 0.00 15

K (13-21) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 14 K (15-23) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 16-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 51 -6447.88 0.00 -7737.46 6447.88 0.00 7737.46 51

0.00 -3094.98 0.00 0.00 3094.98 0.00 21 0.00 -3094.98 0.00 0.00 3094.98 0.00 23-7737.46 0.00 6189.97 7737.46 0.00 12379.94 22 -7737.46 0.00 6189.97 7737.46 0.00 12379.94 24

3er Nivel

Ф = 0.00 Ф = 0.0051 17 18 52 25 26 51 19 20 52 27 28

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 51 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 510.00 1932.18 0.00 0.00 -1932.18 0.00 17 0.00 1932.18 0.00 0.00 -1932.18 0.00 19

K (17-25) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 18 K (19-27) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 20-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 52 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 52

0.00 -1932.18 0.00 0.00 1932.18 0.00 25 0.00 -1932.18 0.00 0.00 1932.18 0.00 27-4830.46 0.00 3864.37 4830.46 0.00 7728.73 26 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 28

Ф = 0.00 Ф = 0.0051 21 22 52 29 30 51 23 24 52 31 32

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 51 6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 510.00 3094.98 0.00 0.00 -3094.98 0.00 21 0.00 3094.98 0.00 0.00 -3094.98 0.00 23

K (21-29) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 22 K (23-31) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 24-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 52 -6447.88 0.00 -7737.46 6447.88 0.00 7737.46 52

0.00 -3094.98 0.00 0.00 3094.98 0.00 29 0.00 -3094.98 0.00 0.00 3094.98 0.00 31-7737.46 0.00 6189.97 7737.46 0.00 12379.94 30 -7737.46 0.00 6189.97 7737.46 0.00 12379.94 32

4to Nivel

Ф = 0.00 Ф = 0.0052 25 26 53 33 34 52 27 28 53 35 36

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 52 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 520.00 1932.18 0.00 0.00 -1932.18 0.00 25 0.00 1932.18 0.00 0.00 -1932.18 0.00 27

K (25-33) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 26 K (27-35) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 28-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 53 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 53

0.00 -1932.18 0.00 0.00 1932.18 0.00 33 0.00 -1932.18 0.00 0.00 1932.18 0.00 35-4830.46 0.00 3864.37 4830.46 0.00 7728.73 34 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 36

Ф = 0.00 Ф = 0.0052 29 30 53 37 38 52 31 32 53 39 40

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 52 6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 520.00 3094.98 0.00 0.00 -3094.98 0.00 29 0.00 3094.98 0.00 0.00 -3094.98 0.00 31

K (29-37) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 30 K (31-39) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 32-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 53 -6447.88 0.00 -7737.46 6447.88 0.00 7737.46 53

0.00 -3094.98 0.00 0.00 3094.98 0.00 37 0.00 -3094.98 0.00 0.00 3094.98 0.00 39-7737.46 0.00 6189.97 7737.46 0.00 12379.94 38 -7737.46 0.00 6189.97 7737.46 0.00 12379.94 40

5to Nivel

Ф = 0.00 Ф = 0.0053 33 34 54 41 42 53 35 36 54 43 44

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 53 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 530.00 1932.18 0.00 0.00 -1932.18 0.00 33 0.00 1932.18 0.00 0.00 -1932.18 0.00 35

K (33-41) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 34 K (35-43) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 36-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 54 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 54

0.00 -1932.18 0.00 0.00 1932.18 0.00 41 0.00 -1932.18 0.00 0.00 1932.18 0.00 43-4830.46 0.00 3864.37 4830.46 0.00 7728.73 42 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 44

Ф = 0.00 Ф = 0.0053 37 38 54 45 46 53 39 40 54 47 48

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 53 6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 530.00 3094.98 0.00 0.00 -3094.98 0.00 37 0.00 3094.98 0.00 0.00 -3094.98 0.00 39

K (37-45) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 38 K (39-47) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 40-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 54 -6447.88 0.00 -7737.46 6447.88 0.00 7737.46 54

0.00 -3094.98 0.00 0.00 3094.98 0.00 45 0.00 -3094.98 0.00 0.00 3094.98 0.00 47-7737.46 0.00 6189.97 7737.46 0.00 12379.94 46 -7737.46 0.00 6189.97 7737.46 0.00 12379.94 48


1 2 3 4 5 6 7 8 9 10 11 12 13 14 151 4549.43 2039.51 -1396.92 2039.51 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.002 2039.51 16580.28 -2039.51 1985.12 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.003 -1396.92 -2039.51 6528.23 532.93 -1978.80 2572.43 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.004 2039.51 1985.12 532.93 21039.17 -2572.43 2229.44 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.005 0.00 0.00 -1978.80 -2572.43 9336.48 277.91 -2307.97 2850.34 0.00 0.00 0.00 0.00 -3094.98 0.00 0.006 0.00 0.00 2572.43 2229.44 277.91 29351.29 -2850.34 2346.78 0.00 0.00 0.00 0.00 0.00 6189.97 0.007 0.00 0.00 0.00 0.00 -2307.97 -2850.34 7357.68 -2850.34 0.00 0.00 0.00 0.00 0.00 0.00 -3094.988 0.00 0.00 0.00 0.00 2850.34 2346.78 -2850.34 24892.41 0.00 0.00 0.00 0.00 0.00 0.00 0.009 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 5261.29 2039.51 -1396.92 2039.51 0.00 0.00 0.00

10 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 2039.51 19427.71 -2039.51 1985.12 0.00 0.00 0.0011 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 -1396.92 -2039.51 7240.08 532.93 -1978.80 2572.43 0.0012 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 1985.12 532.93 23886.59 -2572.43 2229.44 0.0013 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 -1978.80 -2572.43 10476.73 277.91 -2307.9714 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 2572.43 2229.44 277.91 33912.32 -2850.3415 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 -2307.97 -2850.34 8497.9416 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 2850.34 2346.78 -2850.3417 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.0018 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.0019 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.0020 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.0021 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.0022 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.0023 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.9824 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0025 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

[K] =26 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0027 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0028 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0029 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0030 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0031 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0032 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0033 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0034 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0035 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0036 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0037 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0038 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0039 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0040 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0041 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0042 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0043 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0044 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0045 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0046 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0047 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0048 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0049 0.00 -2903.63 0.00 -2903.63 0.00 -4651.05 0.00 -4651.05 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.0050 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.0051 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.0052 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0053 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0054 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

[K] = Kvv kvu

Kuv kuu

1 2 3 4 5 6 7 8 9 10 11 12 13 14 151 4549.43 2039.51 -1396.92 2039.51 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.002 2039.51 16580.28 -2039.51 1985.12 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.003 -1396.92 -2039.51 6528.23 532.93 -1978.80 2572.43 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.004 2039.51 1985.12 532.93 21039.17 -2572.43 2229.44 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.005 0.00 0.00 -1978.80 -2572.43 9336.48 277.91 -2307.97 2850.34 0.00 0.00 0.00 0.00 -3094.98 0.00 0.006 0.00 0.00 2572.43 2229.44 277.91 29351.29 -2850.34 2346.78 0.00 0.00 0.00 0.00 0.00 6189.97 0.007 0.00 0.00 0.00 0.00 -2307.97 -2850.34 7357.68 -2850.34 0.00 0.00 0.00 0.00 0.00 0.00 -3094.988 0.00 0.00 0.00 0.00 2850.34 2346.78 -2850.34 24892.41 0.00 0.00 0.00 0.00 0.00 0.00 0.009 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 5261.29 2039.51 -1396.92 2039.51 0.00 0.00 0.00

10 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 2039.51 19427.71 -2039.51 1985.12 0.00 0.00 0.0011 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 -1396.92 -2039.51 7240.08 532.93 -1978.80 2572.43 0.0012 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 1985.12 532.93 23886.59 -2572.43 2229.44 0.0013 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 -1978.80 -2572.43 10476.73 277.91 -2307.9714 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 2572.43 2229.44 277.91 33912.32 -2850.3415 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 -2307.97 -2850.34 8497.9416 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 2850.34 2346.78 -2850.3417 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.0018 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.0019 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.0020 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.0021 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.0022 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00

[Kvv] =23 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.9824 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0025 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0026 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0027 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0028 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0029 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0030 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0031 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0032 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0033 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0034 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0035 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0036 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0037 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0038 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0039 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0040 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0041 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0042 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0043 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0044 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0045 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0046 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0047 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0048 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

49 0.00 -2903.63 0.00 -2903.63 0.00 -4651.05 0.00 -4651.05 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.0050 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00

[Kuv] = 51 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.0052 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0053 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0054 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

4.20E-04 -2.68E-05 1.65E-04 -2.99E-05 8.23E-05 -5.73E-06 6.41E-05 -1.24E-06 2.93E-04 -4.71E-06 1.81E-04 -9.66E-06 1.18E-04 -4.21E-06 9.74E-05-2.68E-05 6.96E-05 1.80E-05 -4.34E-06 3.96E-06 -1.16E-06 1.48E-06 -1.57E-07 -7.13E-06 -1.41E-05 2.72E-08 2.80E-06 2.65E-06 1.49E-07 1.79E-061.65E-04 1.80E-05 3.03E-04 -6.52E-06 1.35E-04 -1.83E-05 8.45E-05 -3.61E-06 1.81E-04 -9.37E-07 2.05E-04 -2.13E-06 1.50E-04 -2.63E-06 1.20E-04-2.99E-05 -4.34E-06 -6.52E-06 5.49E-05 1.70E-05 -3.50E-06 5.75E-06 -9.93E-07 -1.24E-05 2.76E-06 -2.75E-06 -8.07E-06 4.32E-06 1.79E-06 5.12E-068.23E-05 3.96E-06 1.35E-04 1.70E-05 2.39E-04 -1.23E-06 1.37E-04 -1.16E-05 1.18E-04 2.06E-06 1.50E-04 3.08E-06 1.84E-04 4.15E-07 1.59E-04-5.73E-06 -1.16E-06 -1.83E-05 -3.50E-06 -1.23E-06 3.92E-05 1.62E-05 -2.07E-06 -5.17E-06 1.53E-07 -4.07E-06 1.79E-06 3.97E-07 -6.94E-06 5.37E-066.41E-05 1.48E-06 8.45E-05 5.75E-06 1.37E-04 1.62E-05 2.82E-04 1.46E-05 9.75E-05 1.46E-06 1.20E-04 4.28E-06 1.59E-04 3.86E-06 2.16E-04-1.24E-06 -1.57E-07 -3.61E-06 -9.93E-07 -1.16E-05 -2.07E-06 1.46E-05 4.58E-05 -1.52E-06 -6.64E-08 -2.30E-06 1.23E-07 -6.72E-07 1.53E-06 3.06E-062.93E-04 -7.13E-06 1.81E-04 -1.24E-05 1.18E-04 -5.17E-06 9.75E-05 -1.52E-06 5.39E-04 -2.23E-05 2.75E-04 -2.68E-05 1.77E-04 -5.98E-06 1.50E-04-4.71E-06 -1.41E-05 -9.37E-07 2.76E-06 2.06E-06 1.53E-07 1.46E-06 -6.64E-08 -2.23E-05 6.09E-05 1.39E-05 -3.88E-06 3.40E-06 -7.22E-07 1.85E-061.81E-04 2.72E-08 2.05E-04 -2.75E-06 1.50E-04 -4.07E-06 1.20E-04 -2.30E-06 2.75E-04 1.39E-05 4.01E-04 -6.16E-06 2.33E-04 -1.52E-05 1.80E-04-9.66E-06 2.80E-06 -2.13E-06 -8.07E-06 3.08E-06 1.79E-06 4.28E-06 1.23E-07 -2.68E-05 -3.88E-06 -6.16E-06 4.89E-05 1.44E-05 -2.93E-06 6.12E-061.18E-04 2.65E-06 1.50E-04 4.32E-06 1.84E-04 3.97E-07 1.59E-04 -6.72E-07 1.77E-04 3.40E-06 2.33E-04 1.44E-05 3.37E-04 -6.37E-07 2.42E-04-4.21E-06 1.49E-07 -2.63E-06 1.79E-06 4.15E-07 -6.94E-06 3.86E-06 1.53E-06 -5.98E-06 -7.22E-07 -1.52E-05 -2.93E-06 -6.37E-07 3.45E-05 1.38E-059.74E-05 1.79E-06 1.20E-04 5.12E-06 1.59E-04 5.37E-06 2.16E-04 3.06E-06 1.50E-04 1.85E-06 1.80E-04 6.12E-06 2.42E-04 1.38E-05 3.87E-04-1.22E-06 -6.51E-08 -1.75E-06 1.35E-07 9.77E-08 1.52E-06 1.76E-06 -9.91E-06 -1.54E-06 -6.95E-08 -3.01E-06 -6.23E-07 -9.00E-06 -1.95E-06 1.18E-052.32E-04 -4.59E-06 1.76E-04 -7.39E-06 1.37E-04 -3.35E-06 1.20E-04 -1.17E-06 4.06E-04 -5.98E-06 2.86E-04 -1.13E-05 2.14E-04 -4.95E-06 1.88E-04-3.92E-06 3.46E-06 4.18E-07 -2.85E-07 1.05E-06 5.63E-08 1.14E-06 1.56E-08 -6.18E-06 -1.24E-05 -4.81E-07 2.45E-06 2.30E-06 1.33E-07 1.86E-061.76E-04 3.24E-07 1.76E-04 -2.00E-06 1.54E-04 -2.51E-06 1.38E-04 -1.07E-06 2.86E-04 -5.19E-07 3.05E-04 -2.69E-06 2.49E-04 -3.34E-06 2.17E-04-6.30E-06 -2.80E-07 -1.72E-06 2.28E-06 2.20E-06 -1.13E-07 2.81E-06 5.18E-08 -1.15E-05 2.45E-06 -2.74E-06 -7.18E-06 3.79E-06 1.60E-06 5.09E-061.37E-04 1.28E-06 1.54E-04 2.54E-06 1.68E-04 4.57E-07 1.62E-04 -5.93E-07 2.15E-04 2.24E-06 2.49E-04 3.70E-06 2.84E-04 5.45E-07 2.61E-04-2.79E-06 5.88E-08 -2.17E-06 -1.17E-07 3.81E-07 1.77E-06 2.72E-06 -2.33E-07 -5.06E-06 1.33E-07 -3.44E-06 1.61E-06 5.54E-07 -6.15E-06 4.75E-061.20E-04 1.38E-06 1.38E-04 3.33E-06 1.63E-04 3.20E-06 1.88E-04 2.00E-06 1.88E-04 1.81E-06 2.17E-04 5.01E-06 2.61E-04 4.63E-06 3.20E-04-9.59E-07 1.56E-08 -8.69E-07 4.57E-08 -5.84E-07 -2.33E-07 1.73E-06 2.45E-06 -1.57E-06 -4.28E-08 -1.96E-06 1.15E-07 -2.90E-07 1.34E-06 2.49E-062.00E-04 -2.24E-06 1.70E-04 -4.18E-06 1.46E-04 -2.20E-06 1.34E-04 -8.33E-07 3.42E-04 -4.07E-06 2.80E-04 -6.96E-06 2.34E-04 -3.25E-06 2.13E-04-1.81E-06 -5.80E-07 -4.29E-07 3.48E-07 5.81E-07 6.69E-08 8.14E-07 1.43E-08 -4.18E-06 3.03E-06 5.73E-08 -2.39E-07 1.15E-06 7.91E-08 1.43E-061.70E-04 -4.57E-07 1.66E-04 -1.25E-06 1.55E-04 -1.11E-06 1.47E-04 -5.81E-07 2.80E-04 8.53E-08 2.76E-04 -1.99E-06 2.52E-04 -2.20E-06 2.35E-04-3.52E-06 3.54E-07 -1.05E-06 4.85E-08 9.97E-07 2.70E-07 1.86E-06 5.65E-08 -7.10E-06 -2.43E-07 -2.03E-06 2.06E-06 2.33E-06 -7.26E-08 3.37E-061.46E-04 7.07E-07 1.55E-04 1.20E-06 1.62E-04 4.07E-07 1.62E-04 5.88E-08 2.34E-04 1.11E-06 2.52E-04 2.29E-06 2.68E-04 5.15E-07 2.64E-04-1.85E-06 6.70E-08 -8.92E-07 2.67E-07 3.47E-07 -1.60E-07 1.36E-06 1.84E-07 -3.35E-06 7.83E-08 -2.24E-06 -7.04E-08 5.34E-07 1.57E-06 2.96E-061.34E-04 9.77E-07 1.47E-04 2.18E-06 1.62E-04 1.66E-06 1.74E-04 8.24E-07 2.13E-04 1.37E-06 2.35E-04 3.29E-06 2.64E-04 2.88E-06 2.91E-04-6.89E-07 1.42E-08 -4.72E-07 5.61E-08 8.54E-08 1.82E-07 6.40E-07 -4.88E-07 -1.21E-06 2.49E-08 -9.40E-07 6.78E-08 -3.97E-07 -2.12E-07 1.74E-061.85E-04 -1.42E-06 1.66E-04 -2.67E-06 1.50E-04 -1.49E-06 1.42E-04 -5.98E-07 3.11E-04 -2.21E-06 2.74E-04 -4.32E-06 2.43E-04 -2.30E-06 2.27E-04-1.02E-06 2.16E-07 -2.29E-07 5.67E-08 2.84E-07 4.72E-08 4.98E-07 1.63E-08 -1.96E-06 -5.37E-07 -4.72E-07 3.14E-07 6.02E-07 6.13E-08 9.14E-071.66E-04 -3.40E-07 1.62E-04 -8.71E-07 1.56E-04 -6.71E-07 1.51E-04 -3.15E-07 2.74E-04 -5.26E-07 2.66E-04 -1.34E-06 2.53E-04 -1.08E-06 2.44E-04-2.07E-06 6.52E-08 -6.78E-07 2.62E-07 5.71E-07 8.83E-08 1.15E-06 4.41E-08 -4.05E-06 3.23E-07 -1.25E-06 5.67E-08 1.13E-06 2.55E-07 2.18E-061.50E-04 3.99E-07 1.56E-04 7.32E-07 1.60E-04 3.20E-07 1.61E-04 6.96E-08 2.43E-04 6.76E-07 2.53E-04 1.21E-06 2.62E-04 4.58E-07 2.63E-04-1.10E-06 4.92E-08 -5.01E-07 8.28E-08 2.36E-07 1.41E-07 7.63E-07 6.27E-09 -2.09E-06 6.30E-08 -9.80E-07 2.50E-07 4.14E-07 -1.50E-07 1.50E-061.42E-04 7.01E-07 1.51E-04 1.48E-06 1.61E-04 1.03E-06 1.68E-04 5.00E-07 2.27E-04 1.03E-06 2.44E-04 2.33E-06 2.63E-04 1.65E-06 2.77E-04-4.11E-07 1.58E-08 -2.17E-07 3.88E-08 3.82E-08 4.17E-09 3.54E-07 1.48E-07 -7.54E-07 1.50E-08 -4.75E-07 5.06E-08 9.43E-08 1.62E-07 6.73E-071.79E-04 -1.09E-06 1.65E-04 -2.13E-06 1.52E-04 -1.23E-06 1.45E-04 -5.04E-07 3.00E-04 -1.80E-06 2.71E-04 -3.45E-06 2.46E-04 -1.90E-06 2.33E-04-1.67E-06 3.08E-08 -5.02E-07 1.82E-07 4.64E-07 8.33E-08 8.92E-07 3.05E-08 -3.34E-06 3.91E-07 -8.35E-07 2.06E-07 9.39E-07 1.26E-07 1.67E-061.65E-04 -3.41E-07 1.61E-04 -7.14E-07 1.56E-04 -4.95E-07 1.53E-04 -2.36E-07 2.71E-04 -4.08E-07 2.64E-04 -1.14E-06 2.54E-04 -8.49E-07 2.47E-04-2.95E-06 1.67E-07 -9.93E-07 2.71E-07 7.75E-07 1.71E-07 1.69E-06 6.46E-08 -5.76E-06 1.78E-07 -1.89E-06 5.52E-07 1.57E-06 2.19E-07 3.21E-061.52E-04 3.03E-07 1.56E-04 5.56E-07 1.59E-04 2.79E-07 1.60E-04 1.06E-07 2.46E-04 4.92E-07 2.54E-04 9.43E-07 2.60E-04 4.18E-07 2.62E-04-1.78E-06 8.01E-08 -7.33E-07 1.80E-07 4.02E-07 9.51E-08 1.17E-06 6.78E-08 -3.40E-06 1.19E-07 -1.51E-06 2.37E-07 7.32E-07 2.83E-07 2.33E-061.45E-04 5.90E-07 1.52E-04 1.22E-06 1.60E-04 7.97E-07 1.66E-04 3.56E-07 2.33E-04 8.88E-07 2.47E-04 1.92E-06 2.62E-04 1.30E-06 2.73E-04-7.77E-07 3.11E-08 -3.70E-07 7.16E-08 1.48E-07 7.20E-08 5.68E-07 -2.11E-08 -1.45E-06 4.44E-08 -7.59E-07 1.12E-07 1.87E-07 4.99E-08 1.19E-06

0.3085 -0.1296 0.1173 -0.1152 -0.0301 -0.1264 -0.2357 -0.1357 0.3832 -0.2371 0.1406 -0.1836 -0.0306 -0.2149 -0.29650.4062 -0.3210 0.1438 -0.2187 -0.0163 -0.2761 -0.3270 -0.3506 0.2826 0.1014 0.1198 0.0201 -0.0630 0.0613 -0.18820.1568 0.0543 0.0665 0.0064 -0.0398 0.0307 -0.0996 0.0665 0.3852 -0.2838 0.1373 -0.1988 -0.0295 -0.2449 -0.29670.1050 -0.0178 0.0398 -0.0116 -0.0204 -0.0134 -0.0700 -0.0190 0.1876 0.0478 0.0769 0.0054 -0.0438 0.0272 -0.12140.0874 -0.0014 0.0335 -0.0085 -0.0212 -0.0043 -0.0543 0.0012 0.1713 -0.0183 0.0649 -0.0152 -0.0371 -0.0148 -0.1103-0.0155 0.0000 -0.0058 0.0016 0.0040 0.0007 0.0093 -0.0007 -0.0305 0.0044 -0.0111 0.0022 0.0069 0.0026 0.0190

7578.42 2481.97 5971.52 -685.12 461.57 -95.052481.97 14090.48 -2897.64 7002.51 -744.51 215.235971.52 -2897.64 13230.72 -2766.47 7406.20 -1689.93-685.12 7002.51 -2766.47 13341.65 -3095.44 7982.06461.57 -744.51 7406.20 -3095.44 18811.67 -14102.52-95.05 215.23 -1689.93 7982.06 -14102.52 20261.08


[K-1vv] =

[Kuv]*[K-1vv] =


26223.63 -20946.53 0.00 0.00 0.00 0.00 7578.42 2481.97 5971.52 -685.12 461.57 -95.05-20946.53 41893.07 -20946.53 0.00 0.00 0.00 2481.97 14090.48 -2897.64 7002.51 -744.51 215.23

= 0.00 -20946.53 41893.07 -20946.53 0.00 0.00 - 5971.52 -2897.64 13230.72 -2766.47 7406.20 -1689.93 -0.00 0.00 -20946.53 41893.07 -20946.53 0.00 -685.12 7002.51 -2766.47 13341.65 -3095.44 7982.060.00 0.00 0.00 -20946.53 41893.07 -20946.53 461.57 -744.51 7406.20 -3095.44 18811.67 -14102.520.00 0.00 0.00 0.00 -20946.53 20946.53 -95.05 215.23 -1689.93 7982.06 -14102.52 20261.08

16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 330.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

2850.34 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.002346.78 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00-2850.34 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0029453.44 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 5261.29 2039.51 -1396.92 2039.51 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 2039.51 19427.71 -2039.51 1985.12 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 -1396.92 -2039.51 7240.08 532.93 -1978.80 2572.43 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.000.00 2039.51 1985.12 532.93 23886.59 -2572.43 2229.44 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 -1978.80 -2572.43 10476.73 277.91 -2307.97 2850.34 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.000.00 0.00 0.00 2572.43 2229.44 277.91 33912.32 -2850.34 2346.78 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 -2307.97 -2850.34 8497.94 -2850.34 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00

6189.97 0.00 0.00 0.00 0.00 2850.34 2346.78 -2850.34 29453.44 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.000.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 5261.29 2039.51 -1396.92 2039.51 0.00 0.00 0.00 0.00 -1932.180.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 2039.51 19427.71 -2039.51 1985.12 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 -1396.92 -2039.51 7240.08 532.93 -1978.80 2572.43 0.00 0.00 0.000.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 1985.12 532.93 23886.59 -2572.43 2229.44 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 -1978.80 -2572.43 10476.73 277.91 -2307.97 2850.34 0.000.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 2572.43 2229.44 277.91 33912.32 -2850.34 2346.78 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 -2307.97 -2850.34 8497.94 -2850.34 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 2850.34 2346.78 -2850.34 29453.44 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 5261.290.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 2039.510.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 -1396.920.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 2039.510.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.180.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

-7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

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5.88E-07 6.90E-07 -8.34E-08 2.36E-06 3.75E-071.49E-06 3.31E-04 3.71E-06 3.65E-04 3.04E-06 3.96E-04 1.69E-06 3.13E-04 2.84E-06 3.38E-04 5.67E-06 3.65E-04 4.38E-06 3.86E-04 2.29E-063.08E-08 -1.03E-06 8.13E-08 -3.34E-07 -2.29E-07 1.88E-06 2.21E-06 -1.29E-06 5.32E-08 -7.73E-07 1.61E-07 2.90E-07 3.50E-07 1.00E-06 -7.29E-07-6.46E-06 4.96E-04 -1.31E-05 4.04E-04 -5.90E-06 3.67E-04 -1.83E-06 5.99E-04 -1.26E-05 4.96E-04 -1.95E-05 4.17E-04 -9.98E-06 3.81E-04 -3.89E-06-1.27E-05 -8.41E-07 2.65E-06 2.83E-06 1.79E-07 2.68E-06 -3.04E-08 -7.87E-06 5.67E-06 4.77E-07 -5.22E-08 2.06E-06 2.01E-07 2.56E-06 6.61E-08-9.16E-07 5.09E-04 -3.34E-06 4.45E-04 -3.59E-06 4.08E-04 -1.96E-06 4.96E-04 -3.89E-07 4.86E-04 -5.60E-06 4.48E-04 -6.34E-06 4.20E-04 -3.05E-062.60E-06 -3.73E-06 -7.13E-06 4.65E-06 1.74E-06 6.78E-06 1.45E-07 -1.24E-05 4.19E-10 -3.60E-06 4.02E-06 4.14E-06 2.15E-07 5.87E-06 2.08E-072.38E-06 4.45E-04 4.14E-06 4.86E-04 7.92E-07 4.65E-04 -4.98E-08 4.17E-04 3.61E-06 4.48E-04 6.25E-06 4.73E-04 1.62E-06 4.68E-04 -9.26E-071.74E-07 -4.27E-06 1.76E-06 9.12E-07 -6.24E-06 6.00E-06 1.42E-06 -5.92E-06 2.25E-07 -4.13E-06 1.78E-07 9.63E-07 2.98E-06 5.31E-06 -1.98E-072.23E-06 4.08E-04 6.16E-06 4.65E-04 5.13E-06 5.32E-04 2.42E-06 3.81E-04 4.48E-06 4.20E-04 9.45E-06 4.69E-04 8.56E-06 5.12E-04 5.26E-06-3.05E-08 -2.39E-06 1.57E-07 -2.49E-07 1.44E-06 3.16E-06 -9.01E-06 -2.17E-06 6.46E-08 -1.70E-06 1.54E-07 -9.91E-07 -2.01E-07 3.41E-06 4.03E-06-2.34E-05 5.94E-04 -3.05E-05 4.58E-04 -7.89E-06 4.11E-04 -2.22E-06 8.16E-04 -2.17E-05 6.14E-04 -3.44E-05 4.82E-04 -1.62E-05 4.30E-04 -5.62E-066.25E-05 1.32E-05 -4.24E-06 3.67E-06 -6.65E-07 2.72E-06 -2.09E-08 -5.39E-06 -2.13E-05 -4.46E-06 4.86E-06 3.02E-06 6.03E-07 3.14E-06 -5.53E-081.32E-05 7.10E-04 -7.45E-06 5.27E-04 -1.57E-05 4.63E-04 -3.12E-06 6.14E-04 -4.02E-07 6.28E-04 -8.58E-06 5.42E-04 -1.15E-05 4.87E-04 -6.40E-06-4.24E-06 -7.45E-06 4.97E-05 1.53E-05 -3.04E-06 8.34E-06 -5.67E-07 -1.64E-05 5.27E-06 -4.11E-06 -1.01E-05 4.18E-06 3.45E-06 8.63E-06 4.75E-073.67E-06 5.27E-04 1.53E-05 6.42E-04 -1.29E-07 5.48E-04 -8.65E-06 4.82E-04 7.33E-06 5.42E-04 1.15E-05 5.97E-04 1.89E-06 5.69E-04 -1.80E-06-6.65E-07 -1.57E-05 -3.04E-06 -1.29E-07 3.52E-05 1.49E-05 -2.25E-06 -8.14E-06 5.94E-07 -2.75E-06 3.33E-06 1.34E-06 -9.74E-06 5.45E-06 2.84E-062.72E-06 4.63E-04 8.34E-06 5.48E-04 1.49E-05 7.11E-04 1.20E-05 4.30E-04 6.49E-06 4.87E-04 1.53E-05 5.69E-04 1.54E-05 6.63E-04 9.31E-06-2.09E-08 -3.12E-06 -5.67E-07 -8.65E-06 -2.25E-06 1.20E-05 4.13E-05 -2.58E-06 -4.80E-08 -2.39E-06 5.13E-07 2.11E-06 2.68E-06 9.90E-07 -1.55E-05-5.39E-06 6.14E-04 -1.64E-05 4.82E-04 -8.14E-06 4.30E-04 -2.58E-06 1.16E-03 -6.33E-05 7.12E-04 -7.34E-05 5.11E-04 -2.15E-05 4.50E-04 -6.33E-06-2.13E-05 -4.02E-07 5.27E-06 7.33E-06 5.94E-07 6.49E-06 -4.80E-08 -6.33E-05 1.10E-04 3.18E-05 -5.54E-06 1.23E-05 -2.53E-06 7.38E-06 -4.48E-07-4.46E-06 6.28E-04 -4.11E-06 5.42E-04 -2.75E-06 4.87E-04 -2.39E-06 7.12E-04 3.18E-05 8.69E-04 -1.70E-05 6.22E-04 -3.96E-05 5.18E-04 -1.11E-054.86E-06 -8.58E-06 -1.01E-05 1.15E-05 3.33E-06 1.53E-05 5.13E-07 -7.34E-05 -5.54E-06 -1.70E-05 8.12E-05 3.60E-05 -4.87E-06 2.05E-05 -2.11E-063.02E-06 5.42E-04 4.18E-06 5.97E-04 1.34E-06 5.69E-04 2.11E-06 5.11E-04 1.23E-05 6.22E-04 3.60E-05 7.75E-04 -6.41E-07 6.45E-04 -2.25E-056.03E-07 -1.15E-05 3.45E-06 1.89E-06 -9.74E-06 1.54E-05 2.68E-06 -2.15E-05 -2.53E-06 -3.96E-05 -4.87E-06 -6.41E-07 5.99E-05 3.87E-05 -2.63E-063.14E-06 4.87E-04 8.63E-06 5.69E-04 5.45E-06 6.63E-04 9.90E-07 4.50E-04 7.38E-06 5.18E-04 2.05E-05 6.45E-04 3.87E-05 8.78E-04 3.33E-05-5.53E-08 -6.40E-06 4.75E-07 -1.80E-06 2.84E-06 9.31E-06 -1.55E-05 -6.33E-06 -4.48E-07 -1.11E-05 -2.11E-06 -2.25E-05 -2.63E-06 3.33E-05 7.39E-05

-0.0006 0.0297 -0.0058 -0.0185 -0.0027 -0.0485 0.0011 0.0633 -0.0053 0.0234 -0.0083 -0.0150 -0.0058 -0.0391 -0.0036-0.0165 0.0529 -0.0120 -0.0300 -0.0126 -0.0905 -0.0172 0.1108 -0.0039 0.0422 -0.0153 -0.0277 -0.0085 -0.0678 0.00070.0484 0.0952 0.0026 -0.0547 0.0262 -0.1516 0.0601 0.2066 -0.0338 0.0772 -0.0277 -0.0405 -0.0278 -0.1367 -0.0341-0.2909 0.1574 -0.2011 -0.0454 -0.2479 -0.3293 -0.3149 0.2701 0.0713 0.1126 -0.0155 -0.0821 0.0291 -0.1568 0.09770.1231 0.2553 0.0000 -0.1329 0.0623 -0.4128 0.1554 1.0361 -0.5114 0.3802 -0.3333 -0.0839 -0.4309 -0.8002 -0.5699-0.3515 -0.0638 -0.1849 0.0678 -0.2715 0.0350 -0.3963 -0.6871 0.5550 -0.2388 0.3074 -0.0073 0.4425 0.5854 0.6350

52 53 540.00 0.00 0.00 10.00 0.00 0.00 20.00 0.00 0.00 30.00 0.00 0.00 40.00 0.00 0.00 50.00 0.00 0.00 60.00 0.00 0.00 70.00 0.00 0.00 80.00 0.00 0.00 90.00 0.00 0.00 100.00 0.00 0.00 110.00 0.00 0.00 120.00 0.00 0.00 130.00 0.00 0.00 140.00 0.00 0.00 150.00 0.00 0.00 160.00 0.00 0.00 17

-4830.46 0.00 0.00 180.00 0.00 0.00 19

-4830.46 0.00 0.00 200.00 0.00 0.00 21

-7737.46 0.00 0.00 220.00 0.00 0.00 23

-7737.46 0.00 0.00 240.00 0.00 0.00 250.00 -4830.46 0.00 260.00 0.00 0.00 270.00 -4830.46 0.00 280.00 0.00 0.00 290.00 -7737.46 0.00 300.00 0.00 0.00 310.00 -7737.46 0.00 320.00 0.00 0.00 33

-4830.46 0.00 -4830.46 340.00 0.00 0.00 35

-4830.46 0.00 -4830.46 360.00 0.00 0.00 37

-7737.46 0.00 -7737.46 380.00 0.00 0.00 39

-7737.46 0.00 -7737.46 400.00 0.00 0.00 410.00 -4830.46 4830.46 420.00 0.00 0.00 430.00 -4830.46 4830.46 440.00 0.00 0.00 450.00 -7737.46 7737.46 460.00 0.00 0.00 470.00 -7737.46 7737.46 480.00 0.00 0.00 490.00 0.00 0.00 50

-20946.53 0.00 0.00 5141893.07 -20946.53 0.00 52-20946.53 41893.07 -20946.53 53

0.00 -20946.53 20946.53 5452 53 54

49 50 51 52 53 540.00 0.00 0.00 0.00 0.00 0.00 1

-2903.63 -4830.46 0.00 0.00 0.00 0.00 20.00 0.00 0.00 0.00 0.00 0.00 3

-2903.63 -4830.46 0.00 0.00 0.00 0.00 40.00 0.00 0.00 0.00 0.00 0.00 5

-4651.05 -7737.46 0.00 0.00 0.00 0.00 60.00 0.00 0.00 0.00 0.00 0.00 7

-4651.05 -7737.46 0.00 0.00 0.00 0.00 80.00 0.00 0.00 0.00 0.00 0.00 9

-4830.46 0.00 -4830.46 0.00 0.00 0.00 100.00 0.00 0.00 0.00 0.00 0.00 11

-4830.46 0.00 -4830.46 0.00 0.00 0.00 120.00 0.00 0.00 0.00 0.00 0.00 13

-7737.46 0.00 -7737.46 0.00 0.00 0.00 140.00 0.00 0.00 0.00 0.00 0.00 15

-7737.46 0.00 -7737.46 0.00 0.00 0.00 160.00 0.00 0.00 0.00 0.00 0.00 170.00 -4830.46 0.00 -4830.46 0.00 0.00 180.00 0.00 0.00 0.00 0.00 0.00 190.00 -4830.46 0.00 -4830.46 0.00 0.00 200.00 0.00 0.00 0.00 0.00 0.00 210.00 -7737.46 0.00 -7737.46 0.00 0.00 22

[Kvu] =0.00 0.00 0.00 0.00 0.00 0.00 230.00 -7737.46 0.00 -7737.46 0.00 0.00 240.00 0.00 0.00 0.00 0.00 0.00 250.00 0.00 -4830.46 0.00 -4830.46 0.00 260.00 0.00 0.00 0.00 0.00 0.00 270.00 0.00 -4830.46 0.00 -4830.46 0.00 280.00 0.00 0.00 0.00 0.00 0.00 290.00 0.00 -7737.46 0.00 -7737.46 0.00 300.00 0.00 0.00 0.00 0.00 0.00 310.00 0.00 -7737.46 0.00 -7737.46 0.00 320.00 0.00 0.00 0.00 0.00 0.00 330.00 0.00 0.00 -4830.46 0.00 -4830.46 340.00 0.00 0.00 0.00 0.00 0.00 350.00 0.00 0.00 -4830.46 0.00 -4830.46 360.00 0.00 0.00 0.00 0.00 0.00 370.00 0.00 0.00 -7737.46 0.00 -7737.46 380.00 0.00 0.00 0.00 0.00 0.00 390.00 0.00 0.00 -7737.46 0.00 -7737.46 400.00 0.00 0.00 0.00 0.00 0.00 410.00 0.00 0.00 0.00 -4830.46 4830.46 420.00 0.00 0.00 0.00 0.00 0.00 430.00 0.00 0.00 0.00 -4830.46 4830.46 440.00 0.00 0.00 0.00 0.00 0.00 450.00 0.00 0.00 0.00 -7737.46 7737.46 460.00 0.00 0.00 0.00 0.00 0.00 470.00 0.00 0.00 0.00 -7737.46 7737.46 48

26223.63 -20946.53 0.00 0.00 0.00 0.00 49-20946.53 41893.07 -20946.53 0.00 0.00 0.00 50

[Kuu] = 0.00 -20946.53 41893.07 -20946.53 0.00 0.00 510.00 0.00 -20946.53 41893.07 -20946.53 0.00 520.00 0.00 0.00 -20946.53 41893.07 -20946.53 530.00 0.00 0.00 0.00 -20946.53 20946.53 5449 50 51 52 53 54









K (a-1) =

*Brazos rigidos:

a = 0.75 m 1.15 m b= 0.23 m 13264.22.12 m



1 2 3 4 3 4 5 623168.85 44155.96 -23168.85 18477.16 1 265.30 673.85 -265.30 673.85 3

K (1-3) = 44155.96 43053.70 -44155.96 34837.35 2 K (3-5) = 673.85 2282.11 -673.85 1141.05 4-23168.85 -44155.96 23168.85 -18477.16 3 -265.30 -673.85 265.30 -673.85 518477.16 34837.35 -18477.16 17266.78 4 673.85 1141.05 -673.85 2282.11 6

7 8 9 10 9 10 11 1223168.85 44155.96 -23168.85 18477.16 7 265.30 673.85 -265.30 673.85 9

K (7-9) = 44155.96 43053.70 -44155.96 34837.35 8 K (9-11) = 673.85 2282.11 -673.85 1141.05 10-23168.85 -44155.96 23168.85 -18477.16 9 -265.30 -673.85 265.30 -673.85 1118477.16 34837.35 -18477.16 17266.78 10 673.85 1141.05 -673.85 2282.11 12

13 14 15 16 15 16 17 1823168.85 44155.96 -23168.85 18477.16 13 265.30 673.85 -265.30 673.85 15

K (13-15) = 44155.96 43053.70 -44155.96 34837.35 14 K (15-17) = 673.85 2282.11 -673.85 1141.05 16-23168.85 -44155.96 23168.85 -18477.16 15 -265.30 -673.85 265.30 -673.85 1718477.16 34837.35 -18477.16 17266.78 16 673.85 1141.05 -673.85 2282.11 18

19 20 21 22 21 22 23 2423168.85 44155.96 -23168.85 18477.16 19 265.30 673.85 -265.30 673.85 21

K (19-21) = 44155.96 43053.70 -44155.96 34837.35 20 K (21-23) = 673.85 2282.11 -673.85 1141.05 22-23168.85 -44155.96 23168.85 -18477.16 21 -265.30 -673.85 265.30 -673.85 2318477.16 34837.35 -18477.16 17266.78 22 673.85 1141.05 -673.85 2282.11 24

25 26 27 28 27 28 29 3023168.85 44155.96 -23168.85 18477.16 25 265.30 673.85 -265.30 673.85 27

K (25-27) = 44155.96 43053.70 -44155.96 34837.35 26 K (27-29) = 673.85 2282.11 -673.85 1141.05 28-23168.85 -44155.96 23168.85 -18477.16 27 -265.30 -673.85 265.30 -673.85 2918477.16 34837.35 -18477.16 17266.78 28 673.85 1141.05 -673.85 2282.11 30

31 32 33 34 33 34 35 3623168.85 44155.96 -23168.85 18477.16 31 265.30 673.85 -265.30 673.85 33

K (31-33) = 44155.96 43053.70 -44155.96 34837.35 32 K (33-35) = 673.85 2282.11 -673.85 1141.05 34-23168.85 -44155.96 23168.85 -18477.16 33 -265.30 -673.85 265.30 -673.85 3518477.16 34837.35 -18477.16 17266.78 34 673.85 1141.05 -673.85 2282.11 36


Semisotano

Ф = 0.47 Ф = 0.00aH aV aM 37 1 2 bH bV bM 37 3 4

691.08 0.00 -1313.05 -691.08 0.00 -1313.05 aH 1014.12 0.00 -1926.83 -1014.12 0.00 -1926.83 bH0.00 1220.33 0.00 0.00 -1220.33 0.00 aV 0.00 1220.33 0.00 0.00 -1220.33 0.00 bV

K (a-1) = -1313.05 0.00 3326.38 -1313.05 0.00 1663.19 aM K (b-3) = -1926.83 0.00 4881.31 -1926.83 0.00 2440.65 bM-691.08 0.00 -1313.05 691.08 0.00 1313.05 37 -1014.12 0.00 -1926.83 1014.12 0.00 1926.83 37

0.00 -1220.33 0.00 0.00 1220.33 0.00 1 0.00 -1220.33 0.00 0.00 1220.33 0.00 3-1313.05 0.00 1663.19 1313.05 0.00 3326.38 2 -1926.83 0.00 2440.65 1926.83 0.00 4881.31 4

Ф = 0.00cH cV cM 37 5 6

1624.43 0.00 -3086.41 -1624.43 0.00 -3086.41 cH0.00 1954.73 0.00 0.00 -1954.73 0.00 cV

K (c-5) = -3086.41 0.00 7818.91 -3086.41 0.00 3909.45 cM-1624.43 0.00 -3086.41 1624.43 0.00 3086.41 37

0.00 -1954.73 0.00 0.00 1954.73 0.00 5-3086.41 0.00 3909.45 3086.41 0.00 7818.91 6

1er Nivel

Ф = 1.17 Ф = 0.0037 1 2 38 7 8 37 3 4 38 9 10

1853.41 0.00 -2224.10 -1853.41 0.00 -2224.10 37 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 370.00 1932.18 0.00 0.00 -1932.18 0.00 1 0.00 1932.18 0.00 0.00 -1932.18 0.00 3

K (1-7) = -2224.10 0.00 3558.55 -2224.10 0.00 1779.28 2 K (3-9) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 4-1853.41 0.00 -2224.10 1853.41 0.00 2224.10 38 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 38

0.00 -1932.18 0.00 0.00 1932.18 0.00 7 0.00 -1932.18 0.00 0.00 1932.18 0.00 9

-2224.10 0.00 1779.28 2224.10 0.00 3558.55 8 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 10

Ф = 0.0037 5 6 38 11 12

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 370.00 3094.98 0.00 0.00 -3094.98 0.00 5

K (5-11) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 6-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 38

0.00 -3094.98 0.00 0.00 3094.98 0.00 11-7737.46 0.00 6189.97 7737.46 0.00 12379.94 12

2do Nivel

Ф = 1.17 Ф = 0.0038 7 8 39 13 14 38 9 10 39 15 16

1853.41 0.00 -2224.10 -1853.41 0.00 -2224.10 38 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 380.00 1932.18 0.00 0.00 -1932.18 0.00 7 0.00 1932.18 0.00 0.00 -1932.18 0.00 9

K (7-13) = -2224.10 0.00 3558.55 -2224.10 0.00 1779.28 8 K (9-15) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 10-1853.41 0.00 -2224.10 1853.41 0.00 2224.10 39 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 39

0.00 -1932.18 0.00 0.00 1932.18 0.00 13 0.00 -1932.18 0.00 0.00 1932.18 0.00 15-2224.10 0.00 1779.28 2224.10 0.00 3558.55 14 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 16

Ф = 0.0038 11 12 39 17 18

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 380.00 3094.98 0.00 0.00 -3094.98 0.00 11

K (11-17) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 12-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 39

0.00 -3094.98 0.00 0.00 3094.98 0.00 17-7737.46 0.00 6189.97 7737.46 0.00 12379.94 18

3er Nivel

Ф = 1.17 Ф = 0.0039 13 14 40 19 20 39 15 16 40 21 22

1853.41 0.00 -2224.10 -1853.41 0.00 -2224.10 39 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 390.00 1932.18 0.00 0.00 -1932.18 0.00 13 0.00 1932.18 0.00 0.00 -1932.18 0.00 15

K (13-19) = -2224.10 0.00 3558.55 -2224.10 0.00 1779.28 14 K (15-21) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 16-1853.41 0.00 -2224.10 1853.41 0.00 2224.10 40 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 40

0.00 -1932.18 0.00 0.00 1932.18 0.00 19 0.00 -1932.18 0.00 0.00 1932.18 0.00 21-2224.10 0.00 1779.28 2224.10 0.00 3558.55 20 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 22

Ф = 0.0039 17 18 40 23 24

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 390.00 3094.98 0.00 0.00 -3094.98 0.00 17

K (17-23) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 18-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 40

0.00 -3094.98 0.00 0.00 3094.98 0.00 23-7737.46 0.00 6189.97 7737.46 0.00 12379.94 24

4to Nivel

Ф = 1.17 Ф = 0.0040 19 20 41 25 26 40 21 22 41 27 28

1853.41 0.00 -2224.10 -1853.41 0.00 -2224.10 40 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 400.00 1932.18 0.00 0.00 -1932.18 0.00 19 0.00 1932.18 0.00 0.00 -1932.18 0.00 21

K (19-25) = -2224.10 0.00 3558.55 -2224.10 0.00 1779.28 20 K (21-27) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 22-1853.41 0.00 -2224.10 1853.41 0.00 2224.10 41 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 41

0.00 -1932.18 0.00 0.00 1932.18 0.00 25 0.00 -1932.18 0.00 0.00 1932.18 0.00 27-2224.10 0.00 1779.28 2224.10 0.00 3558.55 26 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 28

Ф = 0.0040 23 24 41 29 30

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 400.00 3094.98 0.00 0.00 -3094.98 0.00 23

K (23-29) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 24-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 41

0.00 -3094.98 0.00 0.00 3094.98 0.00 29-7737.46 0.00 6189.97 7737.46 0.00 12379.94 30

5to Nivel

Ф = 1.17 Ф = 0.0041 25 26 42 31 32 41 27 28 42 33 34

1853.41 0.00 -2224.10 -1853.41 0.00 -2224.10 41 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 410.00 1932.18 0.00 0.00 -1932.18 0.00 25 0.00 1932.18 0.00 0.00 -1932.18 0.00 27

K (25-31) = -2224.10 0.00 3558.55 -2224.10 0.00 1779.28 26 K (27-33) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 28-1853.41 0.00 -2224.10 1853.41 0.00 2224.10 42 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 42

0.00 -1932.18 0.00 0.00 1932.18 0.00 31 0.00 -1932.18 0.00 0.00 1932.18 0.00 33-2224.10 0.00 1779.28 2224.10 0.00 3558.55 32 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 34

Ф = 0.0041 29 30 42 35 36

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 410.00 3094.98 0.00 0.00 -3094.98 0.00 29

K (29-35) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 30-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 42

0.00 -3094.98 0.00 0.00 3094.98 0.00 35-7737.46 0.00 6189.97 7737.46 0.00 12379.94 36


1 2 3 4 5 6 7 8 9 10 11 12 13 14 151 26321.36 44155.96 -23168.85 18477.16 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.002 44155.96 49938.64 -44155.96 34837.35 0.00 0.00 0.00 1779.28 0.00 0.00 0.00 0.00 0.00 0.00 0.003 -23168.85 -44155.96 26586.65 -17803.31 -265.30 673.85 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.004 18477.16 34837.35 -17803.31 32158.92 -673.85 1141.05 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.005 0.00 0.00 -265.30 -673.85 5315.01 -673.85 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.006 0.00 0.00 673.85 1141.05 -673.85 22480.95 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.007 -1932.18 0.00 0.00 0.00 0.00 0.00 27033.21 44155.96 -23168.85 18477.16 0.00 0.00 -1932.18 0.00 0.008 0.00 1779.28 0.00 0.00 0.00 0.00 44155.96 50170.81 -44155.96 34837.35 0.00 0.00 0.00 1779.28 0.009 0.00 0.00 -1932.18 0.00 0.00 0.00 -23168.85 -44155.96 27298.51 -17803.31 -265.30 673.85 0.00 0.00 -1932.18

10 0.00 0.00 0.00 3864.37 0.00 0.00 18477.16 34837.35 -17803.31 35006.35 -673.85 1141.05 0.00 0.00 0.0011 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -265.30 -673.85 6455.26 -673.85 0.00 0.00 0.0012 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 673.85 1141.05 -673.85 27041.98 0.00 0.00 0.0013 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 27033.21 44155.96 -23168.8514 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1779.28 0.00 0.00 0.00 0.00 44155.96 50170.81 -44155.9615 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 -23168.85 -44155.96 27298.5116 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 18477.16 34837.35 -17803.3117 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -265.3018 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 673.8519 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00

[K] =20 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1779.28 0.0021 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.1822 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0023 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0024 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0025 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0026 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0027 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0028 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0029 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0030 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0031 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0032 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0033 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0034 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0035 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0036 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0037 0.00 -911.05 0.00 -2903.63 0.00 -4651.05 0.00 -2224.10 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.0038 0.00 -2224.10 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2224.10 0.0039 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2224.10 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.0040 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2224.10 0.0041 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0042 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

[K] = Kvv kvu

Kuv kuu

1 2 3 4 5 6 7 8 9 10 11 12 13 14 151 26321.36 44155.96 -23168.85 18477.16 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.002 44155.96 49938.64 -44155.96 34837.35 0.00 0.00 0.00 1779.28 0.00 0.00 0.00 0.00 0.00 0.00 0.003 -23168.85 -44155.96 26586.65 -17803.31 -265.30 673.85 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.004 18477.16 34837.35 -17803.31 32158.92 -673.85 1141.05 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.005 0.00 0.00 -265.30 -673.85 5315.01 -673.85 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.006 0.00 0.00 673.85 1141.05 -673.85 22480.95 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.007 -1932.18 0.00 0.00 0.00 0.00 0.00 27033.21 44155.96 -23168.85 18477.16 0.00 0.00 -1932.18 0.00 0.008 0.00 1779.28 0.00 0.00 0.00 0.00 44155.96 50170.81 -44155.96 34837.35 0.00 0.00 0.00 1779.28 0.009 0.00 0.00 -1932.18 0.00 0.00 0.00 -23168.85 -44155.96 27298.51 -17803.31 -265.30 673.85 0.00 0.00 -1932.18

10 0.00 0.00 0.00 3864.37 0.00 0.00 18477.16 34837.35 -17803.31 35006.35 -673.85 1141.05 0.00 0.00 0.0011 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -265.30 -673.85 6455.26 -673.85 0.00 0.00 0.0012 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 673.85 1141.05 -673.85 27041.98 0.00 0.00 0.0013 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 27033.21 44155.96 -23168.8514 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1779.28 0.00 0.00 0.00 0.00 44155.96 50170.81 -44155.9615 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 -23168.85 -44155.96 27298.5116 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 18477.16 34837.35 -17803.31

[Kvv] =17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -265.3018 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 673.8519 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.0020 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1779.28 0.0021 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.1822 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0023 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0024 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0025 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0026 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0027 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0028 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0029 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0030 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0031 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0032 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0033 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0034 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0035 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0036 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

37 0.00 -911.05 0.00 -2903.63 0.00 -4651.05 0.00 -2224.10 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.0038 0.00 -2224.10 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2224.10 0.00

[Kuv] = 39 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2224.10 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.0040 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2224.10 0.0041 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0042 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

3.35E-04 3.00E-05 3.43E-04 -3.31E-05 8.79E-05 -5.20E-06 3.03E-04 3.11E-06 3.08E-04 2.85E-07 1.30E-04 -2.82E-06 2.85E-04 6.13E-07 2.83E-043.00E-05 -3.42E-05 -2.74E-05 4.98E-06 -1.60E-06 5.26E-07 2.57E-06 1.01E-06 -8.19E-09 -2.98E-06 -1.60E-06 -1.98E-08 5.43E-07 2.83E-07 1.18E-063.43E-04 -2.74E-05 3.24E-04 1.53E-05 9.48E-05 -7.22E-06 3.07E-04 -3.67E-08 2.99E-04 -8.71E-06 1.33E-04 -1.61E-06 2.82E-04 1.31E-06 2.82E-04-3.31E-05 4.98E-06 1.53E-05 5.45E-05 1.11E-05 -3.32E-06 -4.69E-07 -3.63E-06 -1.02E-05 -7.42E-06 6.67E-06 1.55E-06 -4.62E-06 4.25E-07 -3.29E-068.79E-05 -1.60E-06 9.48E-05 1.11E-05 3.98E-04 7.75E-06 1.31E-04 -1.92E-06 1.32E-04 5.26E-06 3.47E-04 2.76E-06 1.57E-04 -1.20E-06 1.59E-04-5.20E-06 5.26E-07 -7.22E-06 -3.32E-06 7.75E-06 4.83E-05 -3.94E-06 2.64E-08 -2.68E-06 1.54E-06 4.13E-06 -1.16E-05 -2.50E-06 -9.87E-08 -2.79E-063.03E-04 2.57E-06 3.07E-04 -4.69E-07 1.31E-04 -3.94E-06 5.04E-04 3.12E-05 5.15E-04 -3.07E-05 1.99E-04 -4.81E-06 4.68E-04 3.20E-06 4.72E-043.11E-06 1.01E-06 -3.67E-08 -3.63E-06 -1.92E-06 2.64E-08 3.12E-05 -3.55E-05 -2.72E-05 5.69E-06 -2.51E-06 3.67E-07 3.26E-06 9.77E-07 4.43E-073.08E-04 -8.19E-09 2.99E-04 -1.02E-05 1.32E-04 -2.68E-06 5.15E-04 -2.72E-05 4.94E-04 1.30E-05 2.05E-04 -6.53E-06 4.72E-04 3.89E-07 4.64E-042.85E-07 -2.98E-06 -8.71E-06 -7.42E-06 5.26E-06 1.54E-06 -3.07E-05 5.69E-06 1.30E-05 4.76E-05 1.11E-05 -2.72E-06 -1.34E-06 -3.17E-06 -9.73E-061.30E-04 -1.60E-06 1.33E-04 6.67E-06 3.47E-04 4.13E-06 1.99E-04 -2.51E-06 2.05E-04 1.11E-05 5.83E-04 7.08E-06 2.48E-04 -2.24E-06 2.51E-04-2.82E-06 -1.98E-08 -1.61E-06 1.55E-06 2.76E-06 -1.16E-05 -4.81E-06 3.67E-07 -6.53E-06 -2.72E-06 7.08E-06 4.24E-05 -3.67E-06 7.16E-09 -2.60E-062.85E-04 5.43E-07 2.82E-04 -4.62E-06 1.57E-04 -2.50E-06 4.68E-04 3.26E-06 4.72E-04 -1.34E-06 2.48E-04 -3.67E-06 6.66E-04 3.15E-05 6.77E-046.13E-07 2.83E-07 1.31E-06 4.25E-07 -1.20E-06 -9.87E-08 3.20E-06 9.77E-07 3.89E-07 -3.17E-06 -2.24E-06 7.16E-09 3.15E-05 -3.55E-05 -2.70E-052.83E-04 1.18E-06 2.82E-04 -3.29E-06 1.59E-04 -2.79E-06 4.72E-04 4.43E-07 4.64E-04 -9.73E-06 2.51E-04 -2.60E-06 6.77E-04 -2.70E-05 6.55E-04-3.91E-06 3.53E-07 -2.65E-06 1.26E-06 4.10E-06 -2.30E-07 -1.44E-06 -3.18E-06 -9.83E-06 -6.37E-06 7.04E-06 1.34E-06 -3.18E-05 5.61E-06 1.18E-051.57E-04 -1.08E-06 1.60E-04 4.94E-06 3.14E-04 3.30E-06 2.48E-04 -2.31E-06 2.50E-04 6.91E-06 5.24E-04 3.91E-06 3.20E-04 -2.82E-06 3.26E-04-1.96E-06 -6.36E-08 -2.23E-06 -2.52E-07 2.61E-06 2.97E-06 -3.81E-06 3.01E-09 -2.74E-06 1.35E-06 4.09E-06 -1.02E-05 -5.65E-06 3.66E-07 -7.29E-062.70E-04 6.91E-07 2.69E-04 -2.91E-06 1.75E-04 -1.99E-06 4.47E-04 9.94E-07 4.44E-04 -4.83E-06 2.79E-04 -2.47E-06 6.30E-04 3.51E-06 6.33E-047.71E-07 -1.76E-08 6.77E-07 -1.10E-07 -9.04E-07 -1.74E-08 9.36E-07 3.04E-07 1.60E-06 3.52E-07 -1.58E-06 -8.88E-08 3.48E-06 9.85E-07 6.71E-072.69E-04 6.14E-07 2.68E-04 -3.00E-06 1.76E-04 -1.84E-06 4.44E-04 1.65E-06 4.43E-04 -3.66E-06 2.81E-04 -2.71E-06 6.33E-04 7.02E-07 6.24E-04-2.42E-06 -8.64E-08 -2.48E-06 3.08E-08 3.06E-06 2.15E-07 -4.92E-06 3.47E-07 -3.75E-06 1.14E-06 5.41E-06 -1.83E-07 -2.52E-06 -3.18E-06 -1.09E-051.75E-04 -8.15E-07 1.77E-04 3.69E-06 2.92E-04 2.39E-06 2.79E-04 -1.65E-06 2.81E-04 5.30E-06 4.85E-04 3.24E-06 3.70E-04 -2.63E-06 3.73E-04-1.61E-06 -1.35E-08 -1.45E-06 2.15E-07 1.91E-06 -6.34E-07 -2.68E-06 -9.47E-08 -2.92E-06 -1.75E-07 3.50E-06 2.63E-06 -4.63E-06 -1.17E-08 -3.54E-062.62E-04 5.24E-07 2.60E-04 -2.40E-06 1.86E-04 -1.55E-06 4.31E-04 1.11E-06 4.30E-04 -3.35E-06 2.97E-04 -2.09E-06 6.10E-04 1.29E-06 6.07E-046.94E-07 1.33E-08 6.76E-07 -4.06E-08 -8.55E-07 -3.65E-08 1.26E-06 -8.54E-09 1.16E-06 -1.21E-07 -1.51E-06 -2.69E-08 1.57E-06 3.16E-07 2.22E-062.61E-04 5.22E-07 2.60E-04 -2.34E-06 1.86E-04 -1.55E-06 4.30E-04 1.03E-06 4.29E-04 -3.43E-06 2.98E-04 -1.97E-06 6.07E-04 1.96E-06 6.06E-04-1.83E-06 -2.14E-08 -1.74E-06 1.49E-07 2.23E-06 5.55E-08 -3.12E-06 -1.09E-07 -3.19E-06 5.52E-08 3.94E-06 2.04E-07 -5.56E-06 3.42E-07 -4.36E-061.85E-04 -6.53E-07 1.87E-04 2.96E-06 2.79E-04 1.93E-06 2.97E-04 -1.33E-06 2.99E-04 4.24E-06 4.63E-04 2.54E-06 3.98E-04 -2.03E-06 4.01E-04-8.85E-07 -1.69E-08 -8.78E-07 3.42E-08 1.10E-06 2.22E-07 -1.59E-06 -1.31E-08 -1.47E-06 1.82E-07 1.91E-06 -5.97E-07 -2.35E-06 -9.05E-08 -2.61E-062.59E-04 4.84E-07 2.58E-04 -2.19E-06 1.89E-04 -1.43E-06 4.26E-04 9.80E-07 4.25E-04 -3.15E-06 3.03E-04 -1.89E-06 6.01E-04 1.56E-06 5.99E-043.47E-07 5.06E-09 3.34E-07 -2.51E-08 -4.25E-07 -1.53E-08 6.05E-07 1.31E-08 5.97E-07 -2.92E-08 -7.50E-07 -2.24E-08 9.82E-07 -8.44E-09 9.07E-072.57E-04 4.50E-07 2.56E-04 -2.05E-06 1.92E-04 -1.32E-06 4.22E-04 9.25E-07 4.21E-04 -2.91E-06 3.08E-04 -1.80E-06 5.96E-04 1.37E-06 5.93E-04-3.16E-06 -5.04E-08 -3.05E-06 2.15E-07 3.88E-06 1.57E-07 -5.56E-06 -8.78E-08 -5.40E-06 3.48E-07 6.84E-06 1.43E-07 -8.60E-06 -2.37E-07 -8.62E-061.90E-04 -5.83E-07 1.91E-04 2.64E-06 2.74E-04 1.71E-06 3.05E-04 -1.19E-06 3.06E-04 3.78E-06 4.53E-04 2.31E-06 4.11E-04 -1.83E-06 4.13E-04-2.46E-06 -3.64E-08 -2.36E-06 1.84E-07 3.01E-06 3.35E-08 -4.30E-06 -8.48E-08 -4.24E-06 2.04E-07 5.33E-06 4.30E-07 -6.83E-06 -9.04E-08 -6.51E-06

0.1066 0.0266 0.0686 -0.1154 -0.1094 -0.1330 0.1336 0.0580 0.0902 -0.2043 -0.1397 -0.2664 0.0522 0.0121 0.08760.1664 0.0461 0.0700 -0.2536 -0.1475 -0.3805 0.0564 0.0282 0.1379 0.0579 -0.1213 0.1551 0.1678 0.0471 0.09440.0359 0.0129 0.0763 0.0303 -0.0701 0.0864 0.1586 0.0469 0.0853 -0.2263 -0.1522 -0.3353 0.0679 0.0264 0.14440.0468 -0.0016 0.0408 -0.0060 -0.0547 -0.0235 0.0539 0.0138 0.0919 0.0260 -0.0911 0.0762 0.1689 0.0473 0.09590.0560 0.0011 0.0540 -0.0040 -0.0687 0.0029 0.1012 -0.0006 0.0948 -0.0081 -0.1223 -0.0232 0.1324 0.0151 0.1683-0.0194 -0.0003 -0.0186 0.0015 0.0237 -0.0009 -0.0342 -0.0004 -0.0334 0.0018 0.0422 0.0077 -0.0507 -0.0035 -0.0536

3848.67 921.77 3081.63 -617.58 217.30 -66.85921.77 7655.16 -2279.53 3788.49 -733.09 195.71

3081.63 -2279.53 7165.57 -2198.21 3974.31 -1154.11-617.58 3788.49 -2198.21 7260.89 -2664.87 4899.59217.30 -733.09 3974.31 -2664.87 10195.78 -8379.33-66.85 195.71 -1154.11 4899.59 -8379.33 11996.56


15656.31 -12326.68 0.00 0.00 0.00 0.00 3848.67 921.77 3081.63 -617.58 217.30 -66.85-12326.68 24653.36 -12326.68 0.00 0.00 0.00 921.77 7655.16 -2279.53 3788.49 -733.09 195.71

= 0.00 -12326.68 24653.36 -12326.68 0.00 0.00 - 3081.63 -2279.53 7165.57 -2198.21 3974.31 -1154.110.00 0.00 -12326.68 24653.36 -12326.68 0.00 -617.58 3788.49 -2198.21 7260.89 -2664.87 4899.590.00 0.00 0.00 -12326.68 24653.36 -12326.68 217.30 -733.09 3974.31 -2664.87 10195.78 -8379.330.00 0.00 0.00 0.00 -12326.68 12326.68 -66.85 195.71 -1154.11 4899.59 -8379.33 11996.56

[K-1vv] =

[Kuv]*[K-1vv] =


11807.64 -13248.45 -3081.63 617.58 -217.30 66.85-13248.45 16998.20 -10047.15 -3788.49 733.09 -195.71

[ KL 3] = -3081.63 -10047.15 17487.79 -10128.47 -3974.31 1154.11617.58 -3788.49 -10128.47 17392.47 -9661.81 -4899.59-217.30 733.09 -3974.31 -9661.81 14457.58 -3947.3566.85 -195.71 1154.11 -4899.59 -3947.35 330.12

16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 330.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

18477.16 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0034837.35 0.00 0.00 0.00 1779.28 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00-17803.31 -265.30 673.85 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0035006.35 -673.85 1141.05 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00-673.85 6455.26 -673.85 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.001141.05 -673.85 27041.98 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 27033.21 44155.96 -23168.85 18477.16 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 44155.96 50170.81 -44155.96 34837.35 0.00 0.00 0.00 1779.28 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 -23168.85 -44155.96 27298.51 -17803.31 -265.30 673.85 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00

3864.37 0.00 0.00 18477.16 34837.35 -17803.31 35006.35 -673.85 1141.05 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.000.00 -3094.98 0.00 0.00 0.00 -265.30 -673.85 6455.26 -673.85 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.000.00 0.00 6189.97 0.00 0.00 673.85 1141.05 -673.85 27041.98 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.000.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 27033.21 44155.96 -23168.85 18477.16 0.00 0.00 -1932.18 0.00 0.000.00 0.00 0.00 0.00 1779.28 0.00 0.00 0.00 0.00 44155.96 50170.81 -44155.96 34837.35 0.00 0.00 0.00 1779.28 0.000.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 -23168.85 -44155.96 27298.51 -17803.31 -265.30 673.85 0.00 0.00 -1932.180.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 18477.16 34837.35 -17803.31 35006.35 -673.85 1141.05 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -265.30 -673.85 6455.26 -673.85 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 673.85 1141.05 -673.85 27041.98 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 25101.03 44155.96 -23168.850.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1779.28 0.00 0.00 0.00 0.00 44155.96 46612.26 -44155.960.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 -23168.85 -44155.96 25366.330.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 18477.16 34837.35 -17803.310.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -265.300.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 673.850.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

-4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 -2224.10 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

-4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2224.10 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.000.00 0.00 0.00 0.00 -2224.10 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2224.10 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2224.10 0.00 -4830.46 0.00 -7737.46 0.00 2224.10 0.0016 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33

16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 330.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

18477.16 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0034837.35 0.00 0.00 0.00 1779.28 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00-17803.31 -265.30 673.85 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0035006.35 -673.85 1141.05 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00-673.85 6455.26 -673.85 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.001141.05 -673.85 27041.98 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 27033.21 44155.96 -23168.85 18477.16 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 44155.96 50170.81 -44155.96 34837.35 0.00 0.00 0.00 1779.28 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 -23168.85 -44155.96 27298.51 -17803.31 -265.30 673.85 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00

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-4830.46 0.00 -7737.46 0.00 0.00 0.00 -12326.68 24653.36 -12326.68 414830.46 0.00 7737.46 0.00 0.00 0.00 0.00 -12326.68 12326.68 42

34 35 36 37 38 39 40 41 42

34 35 36 37 38 39 40 41 420.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 10.00 0.00 0.00 -911.05 -2224.10 0.00 0.00 0.00 0.00 20.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 40.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 50.00 0.00 0.00 -4651.05 -7737.46 0.00 0.00 0.00 0.00 60.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 70.00 0.00 0.00 -2224.10 0.00 -2224.10 0.00 0.00 0.00 80.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 90.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 100.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 110.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.00 120.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 130.00 0.00 0.00 0.00 -2224.10 0.00 -2224.10 0.00 0.00 140.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 150.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 160.00 0.00 0.00

[Kvu] =0.00 0.00 0.00 0.00 0.00 0.00 17

0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 180.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 190.00 0.00 0.00 0.00 0.00 -2224.10 0.00 -2224.10 0.00 200.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 210.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 220.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 230.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 240.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 250.00 0.00 0.00 0.00 0.00 0.00 -2224.10 0.00 -2224.10 260.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 27

3864.37 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 280.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 290.00 0.00 6189.97 0.00 0.00 0.00 -7737.46 0.00 -7737.46 30

18477.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3134837.35 0.00 0.00 0.00 0.00 0.00 0.00 -2224.10 2224.10 32-17803.31 -265.30 673.85 0.00 0.00 0.00 0.00 0.00 0.00 3327277.62 -673.85 1141.05 0.00 0.00 0.00 0.00 -4830.46 4830.46 34-673.85 3360.28 -673.85 0.00 0.00 0.00 0.00 0.00 0.00 351141.05 -673.85 14662.04 0.00 0.00 0.00 0.00 -7737.46 7737.46 36

0.00 0.00 0.00 15656.31 -12326.68 0.00 0.00 0.00 0.00 370.00 0.00 0.00 -12326.68 24653.36 -12326.68 0.00 0.00 0.00 380.00 0.00 0.00 [Kuu] = 0.00 -12326.68 24653.36 -12326.68 0.00 0.00 390.00 0.00 0.00 0.00 0.00 -12326.68 24653.36 -12326.68 0.00 40

-4830.46 0.00 -7737.46 0.00 0.00 0.00 -12326.68 24653.36 -12326.68 414830.46 0.00 7737.46 0.00 0.00 0.00 0.00 -12326.68 12326.68 42

34 35 36 37 38 39 40 41 42

-3.16E-06 1.90E-04 -2.46E-06-5.04E-08 -5.83E-07 -3.64E-08-3.05E-06 1.91E-04 -2.36E-062.15E-07 2.64E-06 1.84E-073.88E-06 2.74E-04 3.01E-061.57E-07 1.71E-06 3.35E-08-5.56E-06 3.05E-04 -4.30E-06-8.78E-08 -1.19E-06 -8.48E-08-5.40E-06 3.06E-04 -4.24E-063.48E-07 3.78E-06 2.04E-076.84E-06 4.53E-04 5.33E-061.43E-07 2.31E-06 4.30E-07-8.60E-06 4.11E-04 -6.83E-06-2.37E-07 -1.83E-06 -9.04E-08-8.62E-06 4.13E-04 -6.51E-062.95E-07 6.03E-06 5.60E-071.07E-05 6.43E-04 8.33E-064.85E-07 3.47E-06 -9.06E-07-1.40E-05 5.02E-04 -9.97E-064.96E-07 -2.58E-06 -2.76E-07-1.19E-05 5.06E-04 -1.03E-052.25E-06 9.26E-06 -5.58E-081.61E-05 8.51E-04 1.27E-05-2.09E-07 6.49E-06 5.04E-06-1.19E-05 5.74E-04 -1.56E-05-5.37E-06 -5.23E-06 -2.69E-08-2.58E-05 5.77E-04 -1.31E-05-1.01E-05 1.12E-05 3.23E-062.35E-05 1.09E-03 1.79E-053.06E-06 4.05E-06 -1.86E-05-6.25E-05 6.02E-04 -2.13E-053.91E-06 -3.33E-06 6.20E-073.83E-06 6.27E-04 -2.54E-057.91E-05 3.66E-05 -5.94E-063.66E-05 1.36E-03 2.92E-05-5.94E-06 2.92E-05 7.90E-05

-0.0039 -0.0486 -0.0048-0.0068 -0.0767 0.0034-0.0130 -0.1227 -0.04230.0325 -0.1258 0.1330-0.3550 -0.4842 -0.62230.3818 0.3210 0.7126









K (-) =

*Brazos rigidos:

a = 0.75 m 0.00 m b= 0.23 m 0.00000.00 m



1 2 3 4 3 4 5 61396.92 2039.51 -1396.92 2039.51 1 265.30 673.85 -265.30 673.85 3

K (1-3) = 2039.51 3970.24 -2039.51 1985.12 2 K (3-5) = 673.85 2282.11 -673.85 1141.05 4-1396.92 -2039.51 1396.92 -2039.51 3 -265.30 -673.85 265.30 -673.85 52039.51 1985.12 -2039.51 3970.24 4 673.85 1141.05 -673.85 2282.11 6

7 8 9 10 9 10 11 121396.92 2039.51 -1396.92 2039.51 7 265.30 673.85 -265.30 673.85 9

K (7-9) = 2039.51 3970.24 -2039.51 1985.12 8 K (9-11) = 673.85 2282.11 -673.85 1141.05 10-1396.92 -2039.51 1396.92 -2039.51 9 -265.30 -673.85 265.30 -673.85 112039.51 1985.12 -2039.51 3970.24 10 673.85 1141.05 -673.85 2282.11 12

13 14 15 16 15 16 17 181396.92 2039.51 -1396.92 2039.51 13 265.30 673.85 -265.30 673.85 15

K (13-15) = 2039.51 3970.24 -2039.51 1985.12 14 K (15-17) = 673.85 2282.11 -673.85 1141.05 16-1396.92 -2039.51 1396.92 -2039.51 15 -265.30 -673.85 265.30 -673.85 172039.51 1985.12 -2039.51 3970.24 16 673.85 1141.05 -673.85 2282.11 18

19 20 21 22 21 22 23 241396.92 2039.51 -1396.92 2039.51 19 265.30 673.85 -265.30 673.85 21

K (19-21) = 2039.51 3970.24 -2039.51 1985.12 20 K (21-23) = 673.85 2282.11 -673.85 1141.05 22-1396.92 -2039.51 1396.92 -2039.51 21 -265.30 -673.85 265.30 -673.85 232039.51 1985.12 -2039.51 3970.24 22 673.85 1141.05 -673.85 2282.11 24

25 26 27 28 27 28 29 301396.92 2039.51 -1396.92 2039.51 25 265.30 673.85 -265.30 673.85 27

K (25-27) = 2039.51 3970.24 -2039.51 1985.12 26 K (27-29) = 673.85 2282.11 -673.85 1141.05 28-1396.92 -2039.51 1396.92 -2039.51 27 -265.30 -673.85 265.30 -673.85 292039.51 1985.12 -2039.51 3970.24 28 673.85 1141.05 -673.85 2282.11 30

31 32 33 34 33 34 35 361396.92 2039.51 -1396.92 2039.51 31 265.30 673.85 -265.30 673.85 33

K (31-33) = 2039.51 3970.24 -2039.51 1985.12 32 K (33-35) = 673.85 2282.11 -673.85 1141.05 34-1396.92 -2039.51 1396.92 -2039.51 33 -265.30 -673.85 265.30 -673.85 352039.51 1985.12 -2039.51 3970.24 34 673.85 1141.05 -673.85 2282.11 36


Semisotano

Ф = 0.00 Ф = 0.00aH aV aM 37 1 2 bH bV bM 37 3 4

1014.12 0.00 -1926.83 -1014.12 0.00 -1926.83 aH 1014.12 0.00 -1926.83 -1014.12 0.00 -1926.83 bH0.00 1220.33 0.00 0.00 -1220.33 0.00 aV 0.00 1220.33 0.00 0.00 -1220.33 0.00 bV

K (a-1) = -1926.83 0.00 4881.31 -1926.83 0.00 2440.65 aM K (b-3) = -1926.83 0.00 4881.31 -1926.83 0.00 2440.65 bM-1014.12 0.00 -1926.83 1014.12 0.00 1926.83 37 -1014.12 0.00 -1926.83 1014.12 0.00 1926.83 37

0.00 -1220.33 0.00 0.00 1220.33 0.00 1 0.00 -1220.33 0.00 0.00 1220.33 0.00 3-1926.83 0.00 2440.65 1926.83 0.00 4881.31 2 -1926.83 0.00 2440.65 1926.83 0.00 4881.31 4

Ф = 0.00cH cV cM 37 5 6

1624.43 0.00 -3086.41 -1624.43 0.00 -3086.41 cH0.00 1954.73 0.00 0.00 -1954.73 0.00 cV

K (c-5) = -3086.41 0.00 7818.91 -3086.41 0.00 3909.45 cM-1624.43 0.00 -3086.41 1624.43 0.00 3086.41 37

0.00 -1954.73 0.00 0.00 1954.73 0.00 5-3086.41 0.00 3909.45 3086.41 0.00 7818.91 6

1er Nivel

Ф = 0.00 Ф = 0.0037 1 2 38 7 8 37 3 4 38 9 10

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 37 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 370.00 1932.18 0.00 0.00 -1932.18 0.00 1 0.00 1932.18 0.00 0.00 -1932.18 0.00 3

K (1-7) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 2 K (3-9) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 4-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 38 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 38

0.00 -1932.18 0.00 0.00 1932.18 0.00 7 0.00 -1932.18 0.00 0.00 1932.18 0.00 9

-4830.46 0.00 3864.37 4830.46 0.00 7728.73 8 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 10

Ф = 0.0037 5 6 38 11 12

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 370.00 3094.98 0.00 0.00 -3094.98 0.00 5

K (5-11) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 6-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 38

0.00 -3094.98 0.00 0.00 3094.98 0.00 11-7737.46 0.00 6189.97 7737.46 0.00 12379.94 12

2do Nivel

Ф = 0.00 Ф = 0.0038 7 8 39 13 14 38 9 10 39 15 16

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 38 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 380.00 1932.18 0.00 0.00 -1932.18 0.00 7 0.00 1932.18 0.00 0.00 -1932.18 0.00 9

K (7-13) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 8 K (9-15) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 10-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 39 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 39

0.00 -1932.18 0.00 0.00 1932.18 0.00 13 0.00 -1932.18 0.00 0.00 1932.18 0.00 15-4830.46 0.00 3864.37 4830.46 0.00 7728.73 14 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 16

Ф = 0.0038 11 12 39 17 18

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 380.00 3094.98 0.00 0.00 -3094.98 0.00 11

K (11-17) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 12-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 39

0.00 -3094.98 0.00 0.00 3094.98 0.00 17-7737.46 0.00 6189.97 7737.46 0.00 12379.94 18

3er Nivel

Ф = 0.00 Ф = 0.0039 13 14 40 19 20 39 15 16 40 21 22

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 39 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 390.00 1932.18 0.00 0.00 -1932.18 0.00 13 0.00 1932.18 0.00 0.00 -1932.18 0.00 15

K (13-19) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 14 K (15-21) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 16-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 40 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 40

0.00 -1932.18 0.00 0.00 1932.18 0.00 19 0.00 -1932.18 0.00 0.00 1932.18 0.00 21-4830.46 0.00 3864.37 4830.46 0.00 7728.73 20 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 22

Ф = 0.0039 17 18 40 23 24

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 390.00 3094.98 0.00 0.00 -3094.98 0.00 17

K (17-23) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 18-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 40

0.00 -3094.98 0.00 0.00 3094.98 0.00 23-7737.46 0.00 6189.97 7737.46 0.00 12379.94 24

4to Nivel

Ф = 0.00 Ф = 0.0040 19 20 41 25 26 40 21 22 41 27 28

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 40 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 400.00 1932.18 0.00 0.00 -1932.18 0.00 19 0.00 1932.18 0.00 0.00 -1932.18 0.00 21

K (19-25) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 20 K (21-27) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 22-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 41 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 41

0.00 -1932.18 0.00 0.00 1932.18 0.00 25 0.00 -1932.18 0.00 0.00 1932.18 0.00 27-4830.46 0.00 3864.37 4830.46 0.00 7728.73 26 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 28

Ф = 0.0040 23 24 41 29 30

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 400.00 3094.98 0.00 0.00 -3094.98 0.00 23

K (23-29) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 24-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 41

0.00 -3094.98 0.00 0.00 3094.98 0.00 29-7737.46 0.00 6189.97 7737.46 0.00 12379.94 30

5to Nivel

Ф = 0.00 Ф = 0.0041 25 26 42 31 32 41 27 28 42 33 34

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 41 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 410.00 1932.18 0.00 0.00 -1932.18 0.00 25 0.00 1932.18 0.00 0.00 -1932.18 0.00 27

K (25-31) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 26 K (27-33) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 28-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 42 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 42

0.00 -1932.18 0.00 0.00 1932.18 0.00 31 0.00 -1932.18 0.00 0.00 1932.18 0.00 33-4830.46 0.00 3864.37 4830.46 0.00 7728.73 32 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 34

Ф = 0.0041 29 30 42 35 36

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 410.00 3094.98 0.00 0.00 -3094.98 0.00 29

K (29-35) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 30-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 42

0.00 -3094.98 0.00 0.00 3094.98 0.00 35-7737.46 0.00 6189.97 7737.46 0.00 12379.94 36


1 2 3 4 5 6 7 8 9 10 11 12 13 14 151 4549.43 2039.51 -1396.92 2039.51 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.002 2039.51 16580.28 -2039.51 1985.12 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.003 -1396.92 -2039.51 4814.73 -1365.66 -265.30 673.85 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.004 2039.51 1985.12 -1365.66 18862.39 -673.85 1141.05 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.005 0.00 0.00 -265.30 -673.85 5315.01 -673.85 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.006 0.00 0.00 673.85 1141.05 -673.85 22480.95 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.007 -1932.18 0.00 0.00 0.00 0.00 0.00 5261.29 2039.51 -1396.92 2039.51 0.00 0.00 -1932.18 0.00 0.008 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 19427.71 -2039.51 1985.12 0.00 0.00 0.00 3864.37 0.009 0.00 0.00 -1932.18 0.00 0.00 0.00 -1396.92 -2039.51 5526.59 -1365.66 -265.30 673.85 0.00 0.00 -1932.18

10 0.00 0.00 0.00 3864.37 0.00 0.00 2039.51 1985.12 -1365.66 21709.82 -673.85 1141.05 0.00 0.00 0.0011 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -265.30 -673.85 6455.26 -673.85 0.00 0.00 0.0012 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 673.85 1141.05 -673.85 27041.98 0.00 0.00 0.0013 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 5261.29 2039.51 -1396.9214 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 19427.71 -2039.5115 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 -1396.92 -2039.51 5526.5916 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 2039.51 1985.12 -1365.6617 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -265.3018 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 673.8519 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00

[K] =20 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.0021 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.1822 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0023 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0024 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0025 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0026 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0027 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0028 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0029 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0030 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0031 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0032 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0033 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0034 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0035 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0036 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0037 0.00 -2903.63 0.00 -2903.63 0.00 -4651.05 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.0038 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.0039 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.0040 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.0041 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0042 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

[K] = Kvv kvu

Kuv kuu

1 2 3 4 5 6 7 8 9 10 11 12 13 14 151 4549.43 2039.51 -1396.92 2039.51 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.002 2039.51 16580.28 -2039.51 1985.12 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.003 -1396.92 -2039.51 4814.73 -1365.66 -265.30 673.85 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.004 2039.51 1985.12 -1365.66 18862.39 -673.85 1141.05 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.005 0.00 0.00 -265.30 -673.85 5315.01 -673.85 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.006 0.00 0.00 673.85 1141.05 -673.85 22480.95 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.007 -1932.18 0.00 0.00 0.00 0.00 0.00 5261.29 2039.51 -1396.92 2039.51 0.00 0.00 -1932.18 0.00 0.008 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 19427.71 -2039.51 1985.12 0.00 0.00 0.00 3864.37 0.009 0.00 0.00 -1932.18 0.00 0.00 0.00 -1396.92 -2039.51 5526.59 -1365.66 -265.30 673.85 0.00 0.00 -1932.18

10 0.00 0.00 0.00 3864.37 0.00 0.00 2039.51 1985.12 -1365.66 21709.82 -673.85 1141.05 0.00 0.00 0.0011 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -265.30 -673.85 6455.26 -673.85 0.00 0.00 0.0012 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 673.85 1141.05 -673.85 27041.98 0.00 0.00 0.0013 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 5261.29 2039.51 -1396.9214 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 19427.71 -2039.5115 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 -1396.92 -2039.51 5526.5916 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 2039.51 1985.12 -1365.66

[Kvv] =17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -265.3018 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 673.8519 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.0020 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.0021 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.1822 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0023 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0024 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0025 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0026 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0027 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0028 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0029 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0030 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0031 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0032 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0033 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0034 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0035 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0036 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

37 0.00 -2903.63 0.00 -2903.63 0.00 -4651.05 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.0038 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00

[Kuv] = 39 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.0040 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.0041 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0042 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

4.69E-04 -2.53E-05 2.31E-04 -2.70E-05 7.45E-05 -2.62E-06 3.65E-04 -3.46E-06 2.71E-04 -7.38E-06 1.15E-04 -2.53E-06 3.17E-04 -3.08E-06 2.73E-04-2.53E-05 6.99E-05 2.24E-05 -3.46E-06 1.78E-06 -4.33E-07 -5.57E-06 -1.40E-05 2.39E-06 2.71E-06 1.99E-06 -3.28E-08 -3.58E-06 3.44E-06 1.05E-062.31E-04 2.24E-05 4.22E-04 7.90E-06 1.04E-04 -9.48E-06 2.71E-04 8.52E-07 3.21E-04 -1.83E-06 1.42E-04 -1.74E-06 2.72E-04 1.02E-06 2.81E-04-2.70E-05 -3.46E-06 7.90E-06 5.96E-05 1.19E-05 -3.32E-06 -1.00E-05 2.66E-06 -2.07E-06 -1.03E-05 7.55E-06 1.50E-06 -6.92E-06 -3.98E-07 -2.58E-067.45E-05 1.78E-06 1.04E-04 1.19E-05 4.00E-04 7.55E-06 1.15E-04 1.63E-06 1.42E-04 5.75E-06 3.51E-04 2.66E-06 1.44E-04 1.28E-06 1.66E-04-2.62E-06 -4.33E-07 -9.48E-06 -3.32E-06 7.55E-06 4.84E-05 -3.29E-06 -5.28E-08 -3.08E-06 1.50E-06 3.98E-06 -1.16E-05 -2.58E-06 3.83E-08 -2.57E-063.65E-04 -5.57E-06 2.71E-04 -1.00E-05 1.15E-04 -3.29E-06 6.47E-04 -2.07E-05 4.06E-04 -2.41E-05 1.77E-04 -3.15E-06 5.38E-04 -4.78E-06 4.38E-04-3.46E-06 -1.40E-05 8.52E-07 2.66E-06 1.63E-06 -5.28E-08 -2.07E-05 6.11E-05 1.73E-05 -3.36E-06 2.15E-06 -2.15E-07 -4.63E-06 -1.24E-05 1.17E-062.71E-04 2.39E-06 3.21E-04 -2.07E-06 1.42E-04 -3.08E-06 4.06E-04 1.73E-05 5.83E-04 4.98E-06 2.17E-04 -7.96E-06 4.38E-04 1.27E-06 4.80E-04-7.38E-06 2.71E-06 -1.83E-06 -1.03E-05 5.75E-06 1.50E-06 -2.41E-05 -3.36E-06 4.98E-06 5.29E-05 1.20E-05 -2.71E-06 -9.59E-06 2.37E-06 -2.95E-061.15E-04 1.99E-06 1.42E-04 7.55E-06 3.51E-04 3.98E-06 1.77E-04 2.15E-06 2.17E-04 1.20E-05 5.89E-04 6.93E-06 2.26E-04 2.19E-06 2.62E-04-2.53E-06 -3.28E-08 -1.74E-06 1.50E-06 2.66E-06 -1.16E-05 -3.15E-06 -2.15E-07 -7.96E-06 -2.71E-06 6.93E-06 4.25E-05 -3.37E-06 -3.77E-08 -2.75E-063.17E-04 -3.58E-06 2.72E-04 -6.92E-06 1.44E-04 -2.58E-06 5.38E-04 -4.63E-06 4.38E-04 -9.59E-06 2.26E-04 -3.37E-06 8.17E-04 -2.14E-05 5.69E-04-3.08E-06 3.44E-06 1.02E-06 -3.98E-07 1.28E-06 3.83E-08 -4.78E-06 -1.24E-05 1.27E-06 2.37E-06 2.19E-06 -3.77E-08 -2.14E-05 6.08E-05 1.71E-052.73E-04 1.05E-06 2.81E-04 -2.58E-06 1.66E-04 -2.57E-06 4.38E-04 1.17E-06 4.80E-04 -2.95E-06 2.62E-04 -2.75E-06 5.69E-04 1.71E-05 7.40E-04-5.78E-06 -4.00E-07 -2.02E-06 2.59E-06 4.87E-06 -2.89E-07 -9.84E-06 2.37E-06 -3.03E-06 -9.17E-06 8.03E-06 1.32E-06 -2.60E-05 -3.22E-06 3.79E-061.43E-04 1.58E-06 1.66E-04 5.93E-06 3.18E-04 3.21E-06 2.25E-04 2.16E-06 2.62E-04 7.83E-06 5.31E-04 3.82E-06 2.92E-04 2.67E-06 3.40E-04-2.00E-06 3.41E-08 -2.09E-06 -2.98E-07 2.55E-06 2.97E-06 -3.48E-06 -3.86E-08 -2.90E-06 1.32E-06 3.98E-06 -1.02E-05 -4.03E-06 -2.11E-07 -8.68E-062.92E-04 -1.74E-06 2.67E-04 -4.64E-06 1.63E-04 -2.14E-06 4.87E-04 -3.27E-06 4.36E-04 -7.03E-06 2.59E-04 -2.68E-06 7.08E-04 -5.18E-06 6.00E-04-1.39E-06 -6.06E-07 -3.34E-07 3.01E-07 1.07E-06 1.29E-08 -3.35E-06 3.00E-06 4.57E-07 -3.58E-07 1.81E-06 5.12E-08 -5.27E-06 -1.23E-05 9.15E-072.67E-04 -3.31E-07 2.63E-04 -2.62E-06 1.81E-04 -1.65E-06 4.36E-04 4.81E-07 4.38E-04 -3.11E-06 2.89E-04 -2.45E-06 6.00E-04 9.16E-07 6.37E-04-3.83E-06 3.05E-07 -2.16E-06 -1.39E-07 3.74E-06 2.45E-07 -7.27E-06 -3.58E-07 -3.28E-06 2.36E-06 6.59E-06 -2.22E-07 -1.15E-05 2.39E-06 -4.22E-061.63E-04 1.29E-06 1.81E-04 4.53E-06 2.97E-04 2.36E-06 2.59E-04 1.74E-06 2.89E-04 6.33E-06 4.93E-04 3.20E-06 3.41E-04 2.66E-06 3.85E-04-1.74E-06 1.44E-08 -1.29E-06 2.44E-07 1.89E-06 -6.40E-07 -2.90E-06 5.30E-08 -2.62E-06 -2.16E-07 3.45E-06 2.63E-06 -4.43E-06 -2.23E-08 -3.57E-062.78E-04 -1.23E-06 2.61E-04 -3.64E-06 1.75E-04 -1.78E-06 4.61E-04 -1.82E-06 4.29E-04 -5.18E-06 2.78E-04 -2.33E-06 6.60E-04 -3.81E-06 6.00E-04-9.16E-07 1.97E-07 -3.58E-07 2.20E-08 7.95E-07 2.93E-08 -1.67E-06 -5.62E-07 -5.52E-07 2.78E-07 1.39E-06 1.51E-08 -3.52E-06 3.07E-06 1.94E-072.61E-04 -4.93E-07 2.54E-04 -2.33E-06 1.90E-04 -1.33E-06 4.29E-04 -5.72E-07 4.20E-04 -3.10E-06 3.05E-04 -1.74E-06 5.99E-04 1.53E-07 5.97E-04-2.60E-06 2.05E-08 -1.64E-06 2.75E-07 2.65E-06 5.15E-08 -4.62E-06 2.77E-07 -2.77E-06 -1.16E-07 4.61E-06 2.29E-07 -7.82E-06 -3.76E-07 -3.70E-061.75E-04 1.07E-06 1.90E-04 3.73E-06 2.84E-04 1.94E-06 2.79E-04 1.50E-06 3.04E-04 5.17E-06 4.71E-04 2.54E-06 3.72E-04 2.28E-06 4.11E-04-1.02E-06 2.34E-08 -7.76E-07 3.46E-08 1.12E-06 2.20E-07 -1.78E-06 9.80E-09 -1.32E-06 2.13E-07 1.94E-06 -6.00E-07 -2.63E-06 5.68E-08 -2.36E-062.74E-04 -1.02E-06 2.59E-04 -3.29E-06 1.79E-04 -1.66E-06 4.53E-04 -1.58E-06 4.27E-04 -4.66E-06 2.86E-04 -2.16E-06 6.44E-04 -2.46E-06 5.98E-04-1.63E-06 -5.53E-09 -9.00E-07 1.42E-07 1.58E-06 4.85E-08 -3.05E-06 3.38E-07 -1.36E-06 1.15E-07 2.75E-06 6.80E-08 -5.22E-06 -8.58E-07 -1.56E-062.58E-04 -5.52E-07 2.50E-04 -2.12E-06 1.94E-04 -1.14E-06 4.24E-04 -6.05E-07 4.12E-04 -2.87E-06 3.13E-04 -1.58E-06 5.94E-04 -9.94E-07 5.81E-04-4.92E-06 1.34E-07 -3.32E-06 3.22E-07 5.14E-06 1.91E-07 -8.70E-06 1.07E-07 -5.71E-06 6.25E-07 9.00E-06 1.66E-07 -1.39E-05 5.85E-07 -8.47E-061.80E-04 9.83E-07 1.93E-04 3.37E-06 2.79E-04 1.74E-06 2.88E-04 1.37E-06 3.11E-04 4.70E-06 4.61E-04 2.33E-06 3.85E-04 2.16E-06 4.21E-04-2.79E-06 5.02E-08 -2.03E-06 2.13E-07 3.01E-06 2.43E-08 -4.83E-06 7.81E-08 -3.64E-06 2.10E-07 5.29E-06 4.20E-07 -7.42E-06 7.53E-08 -5.71E-06

0.2359 -0.1359 -0.0257 -0.1221 -0.1312 -0.1310 0.3017 -0.2438 -0.0326 -0.2033 -0.1680 -0.2646 0.1372 0.0396 0.04620.3310 -0.3323 -0.0521 -0.2539 -0.1742 -0.3778 0.1984 0.1039 0.0533 0.0479 -0.1571 0.1558 0.3308 -0.2913 -0.00660.1106 0.0562 0.0402 0.0228 -0.0942 0.0868 0.3149 -0.2902 -0.0121 -0.2265 -0.1890 -0.3340 0.2100 0.0966 0.07340.0831 -0.0162 0.0366 -0.0100 -0.0748 -0.0238 0.1417 0.0499 0.0572 0.0202 -0.1242 0.0763 0.3353 -0.2898 0.00130.0919 0.0003 0.0581 -0.0066 -0.0937 0.0024 0.1679 -0.0159 0.0962 -0.0132 -0.1649 -0.0239 0.2650 0.0488 0.1362-0.0284 -0.0002 -0.0204 0.0022 0.0305 -0.0007 -0.0500 0.0041 -0.0360 0.0028 0.0537 0.0078 -0.0746 -0.0142 -0.0574

5565.56 1520.80 4446.98 -741.95 332.53 -95.901520.80 10849.83 -2852.49 5385.65 -871.74 248.434446.98 -2852.49 10169.55 -2742.36 5676.73 -1530.53-741.95 5385.65 -2742.36 10288.99 -3282.63 6683.16332.53 -871.74 5676.73 -3282.63 14520.94 -11568.73-95.90 248.43 -1530.53 6683.16 -11568.73 16562.95


18151.32 -14498.65 0.00 0.00 0.00 0.00 5565.56 1520.80 4446.98 -741.95 332.53 -95.90-14498.65 28997.30 -14498.65 0.00 0.00 0.00 1520.80 10849.83 -2852.49 5385.65 -871.74 248.43

= 0.00 -14498.65 28997.30 -14498.65 0.00 0.00 - 4446.98 -2852.49 10169.55 -2742.36 5676.73 -1530.530.00 0.00 -14498.65 28997.30 -14498.65 0.00 -741.95 5385.65 -2742.36 10288.99 -3282.63 6683.160.00 0.00 0.00 -14498.65 28997.30 -14498.65 332.53 -871.74 5676.73 -3282.63 14520.94 -11568.730.00 0.00 0.00 0.00 -14498.65 14498.65 -95.90 248.43 -1530.53 6683.16 -11568.73 16562.95

[K-1vv] =

[Kuv]*[K-1vv] =


12585.76 -16019.45 -4446.98 741.95 -332.53 95.90-16019.45 18147.46 -11646.16 -5385.65 871.74 -248.43

[ KL 4] = -4446.98 -11646.16 18827.75 -11756.29 -5676.73 1530.53741.95 -5385.65 -11756.29 18708.31 -11216.02 -6683.16-332.53 871.74 -5676.73 -11216.02 14476.36 -2929.9195.90 -248.43 1530.53 -6683.16 -2929.91 -2064.30

16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 330.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

2039.51 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.001985.12 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00-1365.66 -265.30 673.85 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0021709.82 -673.85 1141.05 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00-673.85 6455.26 -673.85 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.001141.05 -673.85 27041.98 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 5261.29 2039.51 -1396.92 2039.51 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 2039.51 19427.71 -2039.51 1985.12 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 -1396.92 -2039.51 5526.59 -1365.66 -265.30 673.85 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00

3864.37 0.00 0.00 2039.51 1985.12 -1365.66 21709.82 -673.85 1141.05 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.000.00 -3094.98 0.00 0.00 0.00 -265.30 -673.85 6455.26 -673.85 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.000.00 0.00 6189.97 0.00 0.00 673.85 1141.05 -673.85 27041.98 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.000.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 5261.29 2039.51 -1396.92 2039.51 0.00 0.00 -1932.18 0.00 0.000.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 19427.71 -2039.51 1985.12 0.00 0.00 0.00 3864.37 0.000.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 -1396.92 -2039.51 5526.59 -1365.66 -265.30 673.85 0.00 0.00 -1932.180.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 2039.51 1985.12 -1365.66 21709.82 -673.85 1141.05 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -265.30 -673.85 6455.26 -673.85 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 673.85 1141.05 -673.85 27041.98 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 3329.11 2039.51 -1396.920.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 11698.97 -2039.510.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 -1396.92 -2039.51 3594.400.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 2039.51 1985.12 -1365.660.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -265.300.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 673.850.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

-4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

-4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.000.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 4830.46 0.0016 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33

16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 330.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

2039.51 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.001985.12 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00-1365.66 -265.30 673.85 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0021709.82 -673.85 1141.05 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00-673.85 6455.26 -673.85 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.001141.05 -673.85 27041.98 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 5261.29 2039.51 -1396.92 2039.51 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 2039.51 19427.71 -2039.51 1985.12 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 -1396.92 -2039.51 5526.59 -1365.66 -265.30 673.85 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00

3864.37 0.00 0.00 2039.51 1985.12 -1365.66 21709.82 -673.85 1141.05 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.000.00 -3094.98 0.00 0.00 0.00 -265.30 -673.85 6455.26 -673.85 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.000.00 0.00 6189.97 0.00 0.00 673.85 1141.05 -673.85 27041.98 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.000.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 5261.29 2039.51 -1396.92 2039.51 0.00 0.00 -1932.18 0.00 0.000.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 19427.71 -2039.51 1985.12 0.00 0.00 0.00 3864.37 0.000.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 -1396.92 -2039.51 5526.59 -1365.66 -265.30 673.85 0.00 0.00 -1932.180.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 2039.51 1985.12 -1365.66 21709.82 -673.85 1141.05 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -265.30 -673.85 6455.26 -673.85 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 673.85 1141.05 -673.85 27041.98 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 3329.11 2039.51 -1396.920.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 11698.97 -2039.510.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 -1396.92 -2039.51 3594.400.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 2039.51 1985.12 -1365.660.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -265.300.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 673.85

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00-4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00-4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.00

0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 4830.46 0.0016 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33

-5.78E-06 1.43E-04 -2.00E-06 2.92E-04 -1.39E-06 2.67E-04 -3.83E-06 1.63E-04 -1.74E-06 2.78E-04 -9.16E-07 2.61E-04 -2.60E-06 1.75E-04 -1.02E-06 2.74E-04 -1.63E-06 2.58E-04-4.00E-07 1.58E-06 3.41E-08 -1.74E-06 -6.06E-07 -3.31E-07 3.05E-07 1.29E-06 1.44E-08 -1.23E-06 1.97E-07 -4.93E-07 2.05E-08 1.07E-06 2.34E-08 -1.02E-06 -5.53E-09 -5.52E-07-2.02E-06 1.66E-04 -2.09E-06 2.67E-04 -3.34E-07 2.63E-04 -2.16E-06 1.81E-04 -1.29E-06 2.61E-04 -3.58E-07 2.54E-04 -1.64E-06 1.90E-04 -7.76E-07 2.59E-04 -9.00E-07 2.50E-042.59E-06 5.93E-06 -2.98E-07 -4.64E-06 3.01E-07 -2.62E-06 -1.39E-07 4.53E-06 2.44E-07 -3.64E-06 2.20E-08 -2.33E-06 2.75E-07 3.73E-06 3.46E-08 -3.29E-06 1.42E-07 -2.12E-064.87E-06 3.18E-04 2.55E-06 1.63E-04 1.07E-06 1.81E-04 3.74E-06 2.97E-04 1.89E-06 1.75E-04 7.95E-07 1.90E-04 2.65E-06 2.84E-04 1.12E-06 1.79E-04 1.58E-06 1.94E-04-2.89E-07 3.21E-06 2.97E-06 -2.14E-06 1.29E-08 -1.65E-06 2.45E-07 2.36E-06 -6.40E-07 -1.78E-06 2.93E-08 -1.33E-06 5.15E-08 1.94E-06 2.20E-07 -1.66E-06 4.85E-08 -1.14E-06-9.84E-06 2.25E-04 -3.48E-06 4.87E-04 -3.35E-06 4.36E-04 -7.27E-06 2.59E-04 -2.90E-06 4.61E-04 -1.67E-06 4.29E-04 -4.62E-06 2.79E-04 -1.78E-06 4.53E-04 -3.05E-06 4.24E-042.37E-06 2.16E-06 -3.86E-08 -3.27E-06 3.00E-06 4.81E-07 -3.58E-07 1.74E-06 5.30E-08 -1.82E-06 -5.62E-07 -5.72E-07 2.77E-07 1.50E-06 9.80E-09 -1.58E-06 3.38E-07 -6.05E-07-3.03E-06 2.62E-04 -2.90E-06 4.36E-04 4.57E-07 4.38E-04 -3.28E-06 2.89E-04 -2.62E-06 4.29E-04 -5.52E-07 4.20E-04 -2.77E-06 3.04E-04 -1.32E-06 4.27E-04 -1.36E-06 4.12E-04-9.17E-06 7.83E-06 1.32E-06 -7.03E-06 -3.58E-07 -3.11E-06 2.36E-06 6.33E-06 -2.16E-07 -5.18E-06 2.78E-07 -3.10E-06 -1.16E-07 5.17E-06 2.13E-07 -4.66E-06 1.15E-07 -2.87E-068.03E-06 5.31E-04 3.98E-06 2.59E-04 1.81E-06 2.89E-04 6.59E-06 4.93E-04 3.45E-06 2.78E-04 1.39E-06 3.05E-04 4.61E-06 4.71E-04 1.94E-06 2.86E-04 2.75E-06 3.13E-041.32E-06 3.82E-06 -1.02E-05 -2.68E-06 5.12E-08 -2.45E-06 -2.22E-07 3.20E-06 2.63E-06 -2.33E-06 1.51E-08 -1.74E-06 2.29E-07 2.54E-06 -6.00E-07 -2.16E-06 6.80E-08 -1.58E-06-2.60E-05 2.92E-04 -4.03E-06 7.08E-04 -5.27E-06 6.00E-04 -1.15E-05 3.41E-04 -4.43E-06 6.60E-04 -3.52E-06 5.99E-04 -7.82E-06 3.72E-04 -2.63E-06 6.44E-04 -5.22E-06 5.94E-04-3.22E-06 2.67E-06 -2.11E-07 -5.18E-06 -1.23E-05 9.16E-07 2.39E-06 2.66E-06 -2.23E-08 -3.81E-06 3.07E-06 1.53E-07 -3.76E-07 2.28E-06 5.68E-08 -2.46E-06 -8.58E-07 -9.94E-073.79E-06 3.40E-04 -8.68E-06 6.00E-04 9.15E-07 6.37E-04 -4.22E-06 3.85E-04 -3.57E-06 6.00E-04 1.94E-07 5.97E-04 -3.70E-06 4.11E-04 -2.36E-06 5.98E-04 -1.56E-06 5.81E-045.28E-05 1.39E-05 -2.60E-06 -1.13E-05 2.40E-06 -4.08E-06 -9.03E-06 9.60E-06 1.37E-06 -8.82E-06 -3.74E-07 -4.29E-06 2.43E-06 8.18E-06 -2.50E-07 -7.45E-06 6.32E-07 -4.34E-061.39E-05 7.63E-04 7.94E-06 3.41E-04 2.72E-06 3.85E-04 9.81E-06 7.04E-04 5.00E-06 3.71E-04 2.08E-06 4.11E-04 7.19E-06 6.69E-04 3.11E-06 3.82E-04 4.24E-06 4.24E-04-2.60E-06 7.94E-06 4.22E-05 -4.18E-06 -2.37E-08 -3.36E-06 1.36E-06 4.71E-06 -1.01E-05 -3.51E-06 6.44E-08 -3.01E-06 -2.26E-07 4.07E-06 2.72E-06 -3.37E-06 8.07E-08 -2.23E-06-1.13E-05 3.41E-04 -4.18E-06 9.91E-04 -2.21E-05 7.33E-04 -2.80E-05 4.05E-04 -5.16E-06 8.89E-04 -5.21E-06 7.67E-04 -1.18E-05 4.47E-04 -3.87E-06 8.58E-04 -1.03E-05 7.68E-042.40E-06 2.72E-06 -2.37E-08 -2.21E-05 6.09E-05 1.69E-05 -3.19E-06 3.27E-06 -1.93E-07 -6.28E-06 -1.27E-05 8.45E-07 2.54E-06 3.39E-06 -2.79E-08 -6.36E-06 5.58E-06 1.25E-06-4.08E-06 3.85E-04 -3.36E-06 7.33E-04 1.69E-05 8.99E-04 2.51E-06 4.62E-04 -9.56E-06 7.67E-04 4.12E-07 8.00E-04 -4.55E-06 5.03E-04 -2.90E-06 7.73E-04 5.62E-07 7.67E-04-9.03E-06 9.81E-06 1.36E-06 -2.80E-05 -3.19E-06 2.51E-06 5.30E-05 1.59E-05 -2.55E-06 -1.39E-05 2.52E-06 -5.55E-06 -9.21E-06 1.22E-05 1.45E-06 -1.30E-05 -3.05E-07 -5.61E-069.60E-06 7.04E-04 4.71E-06 4.05E-04 3.27E-06 4.62E-04 1.59E-05 9.40E-04 9.19E-06 4.47E-04 3.00E-06 5.03E-04 1.02E-05 8.88E-04 4.22E-06 4.62E-04 6.06E-06 5.23E-041.37E-06 5.00E-06 -1.01E-05 -5.16E-06 -1.93E-07 -9.56E-06 -2.55E-06 9.19E-06 4.23E-05 -5.60E-06 -2.23E-08 -4.54E-06 1.50E-06 6.33E-06 -1.06E-05 -5.25E-06 9.45E-08 -5.00E-06-8.82E-06 3.71E-04 -3.51E-06 8.89E-04 -6.28E-06 7.67E-04 -1.39E-05 4.47E-04 -5.60E-06 1.18E-03 -2.18E-05 9.05E-04 -2.81E-05 4.99E-04 -4.31E-06 1.11E-03 -1.76E-05 9.37E-04-3.74E-07 2.08E-06 6.44E-08 -5.21E-06 -1.27E-05 4.12E-07 2.52E-06 3.00E-06 -2.23E-08 -2.18E-05 6.26E-05 1.60E-05 -3.80E-06 3.60E-06 -1.50E-07 -3.53E-06 -2.13E-05 -2.87E-06-4.29E-06 4.11E-04 -3.01E-06 7.67E-04 8.45E-07 8.00E-04 -5.55E-06 5.03E-04 -4.54E-06 9.05E-04 1.60E-05 1.07E-03 2.19E-06 5.72E-04 -8.41E-06 9.44E-04 4.12E-06 9.86E-042.43E-06 7.19E-06 -2.26E-07 -1.18E-05 2.54E-06 -4.55E-06 -9.21E-06 1.02E-05 1.50E-06 -2.81E-05 -3.80E-06 2.19E-06 5.40E-05 1.62E-05 -3.00E-06 -1.34E-05 4.87E-06 -6.26E-068.18E-06 6.69E-04 4.07E-06 4.47E-04 3.39E-06 5.03E-04 1.22E-05 8.88E-04 6.33E-06 4.99E-04 3.60E-06 5.72E-04 1.62E-05 1.14E-03 7.94E-06 5.20E-04 8.40E-06 6.03E-04-2.50E-07 3.11E-06 2.72E-06 -3.87E-06 -2.79E-08 -2.90E-06 1.45E-06 4.22E-06 -1.06E-05 -4.31E-06 -1.50E-07 -8.41E-06 -3.00E-06 7.94E-06 4.42E-05 -5.12E-06 1.61E-07 -1.43E-06-7.45E-06 3.82E-04 -3.37E-06 8.58E-04 -6.36E-06 7.73E-04 -1.30E-05 4.62E-04 -5.25E-06 1.11E-03 -3.53E-06 9.44E-04 -1.34E-05 5.20E-04 -5.12E-06 1.47E-03 -5.80E-05 1.06E-036.32E-07 4.24E-06 8.07E-08 -1.03E-05 5.58E-06 5.62E-07 -3.05E-07 6.06E-06 9.45E-08 -1.76E-05 -2.13E-05 4.12E-06 4.87E-06 8.40E-06 1.61E-07 -5.80E-05 1.11E-04 4.19E-05-4.34E-06 4.24E-04 -2.23E-06 7.68E-04 1.25E-06 7.67E-04 -5.61E-06 5.23E-04 -5.00E-06 9.37E-04 -2.87E-06 9.86E-04 -6.26E-06 6.03E-04 -1.43E-06 1.06E-03 4.19E-05 1.30E-032.06E-07 1.40E-05 5.69E-07 -2.21E-05 -3.00E-07 -1.10E-05 4.52E-06 2.07E-05 -2.51E-07 -3.40E-05 4.50E-06 -1.27E-05 -1.39E-05 2.91E-05 3.13E-06 -7.13E-05 -3.91E-06 1.52E-067.36E-06 6.54E-04 3.50E-06 4.66E-04 3.19E-06 5.19E-04 1.16E-05 8.66E-04 6.40E-06 5.24E-04 4.00E-06 5.99E-04 1.23E-05 1.10E-03 4.09E-06 5.45E-04 1.00E-05 6.53E-046.27E-07 8.19E-06 -9.28E-07 -1.05E-05 1.24E-07 -9.29E-06 -1.72E-07 1.24E-05 5.03E-06 -1.45E-05 2.85E-08 -1.32E-05 3.20E-06 1.73E-05 -1.87E-05 -1.61E-05 -1.23E-06 -2.92E-05

0.0176 -0.1145 0.0598 0.0989 -0.0123 0.0479 -0.0096 -0.0916 -0.0173 0.0743 0.0005 0.0456 -0.0036 -0.0749 0.0024 0.0671 -0.0033 0.0420-0.2280 -0.2024 -0.3343 0.1593 0.0494 0.0683 0.0188 -0.1421 0.0755 0.1255 -0.0148 0.0672 -0.0100 -0.1203 -0.0221 0.1076 -0.0006 0.06470.0440 -0.1770 0.1447 0.3524 -0.2903 0.0120 -0.2289 -0.2275 -0.3336 0.1929 0.0508 0.0891 0.0181 -0.1761 0.0789 0.1812 -0.0289 0.0888-0.2276 -0.2101 -0.3329 0.2242 0.0975 0.0836 0.0426 -0.1922 0.1470 0.3625 -0.2964 0.0205 -0.2273 -0.2391 -0.3470 0.1953 0.0787 0.09820.0125 -0.2505 0.0759 0.5198 -0.3036 0.1024 -0.2400 -0.3884 -0.3523 0.5026 0.1305 0.2014 0.0397 -0.4395 0.2038 0.8829 -0.5321 0.07590.0009 0.0824 -0.0243 -0.1256 0.0759 -0.0797 0.0401 0.1281 0.1133 -0.0873 -0.3639 -0.1663 -0.2381 0.1583 -0.4553 -0.6273 0.5841 0.0390

34 35 36 37 38 39 40 41 420.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 10.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 20.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 40.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 50.00 0.00 0.00 -4651.05 -7737.46 0.00 0.00 0.00 0.00 60.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 70.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 80.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 90.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 100.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 110.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.00 120.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 130.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 140.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 150.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 160.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 170.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 180.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 190.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 200.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 210.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 220.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 230.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 240.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 250.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 260.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 27

3864.37 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 280.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 290.00 0.00 6189.97 0.00 0.00 0.00 -7737.46 0.00 -7737.46 30

2039.51 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 311985.12 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 4830.46 32-1365.66 -265.30 673.85 0.00 0.00 0.00 0.00 0.00 0.00 3313981.08 -673.85 1141.05 0.00 0.00 0.00 0.00 -4830.46 4830.46 34-673.85 3360.28 -673.85 0.00 0.00 0.00 0.00 0.00 0.00 351141.05 -673.85 14662.04 0.00 0.00 0.00 0.00 -7737.46 7737.46 36

0.00 0.00 0.00 18151.32 -14498.65 0.00 0.00 0.00 0.00 370.00 0.00 0.00 -14498.65 28997.30 -14498.65 0.00 0.00 0.00 380.00 0.00 0.00 0.00 -14498.65 28997.30 -14498.65 0.00 0.00 390.00 0.00 0.00 0.00 0.00 -14498.65 28997.30 -14498.65 0.00 40

-4830.46 0.00 -7737.46 0.00 0.00 0.00 -14498.65 28997.30 -14498.65 414830.46 0.00 7737.46 0.00 0.00 0.00 0.00 -14498.65 14498.65 42

34 35 36 37 38 39 40 41 42

34 35 36 37 38 39 40 41 420.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 10.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 20.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 40.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 50.00 0.00 0.00 -4651.05 -7737.46 0.00 0.00 0.00 0.00 60.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 70.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 80.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 90.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 100.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 110.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.00 120.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 130.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 140.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 150.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 160.00 0.00 0.00

[Kvu] =0.00 0.00 0.00 0.00 0.00 0.00 17

0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 180.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 190.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 200.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 210.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 220.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 230.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 240.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 250.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 260.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 27

3864.37 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 280.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 290.00 0.00 6189.97 0.00 0.00 0.00 -7737.46 0.00 -7737.46 30

2039.51 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 311985.12 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 4830.46 32-1365.66 -265.30 673.85 0.00 0.00 0.00 0.00 0.00 0.00 3313981.08 -673.85 1141.05 0.00 0.00 0.00 0.00 -4830.46 4830.46 34-673.85 3360.28 -673.85 0.00 0.00 0.00 0.00 0.00 0.00 351141.05 -673.85 14662.04 0.00 0.00 0.00 0.00 -7737.46 7737.46 36

0.00 0.00 0.00 18151.32 -14498.65 0.00 0.00 0.00 0.00 370.00 0.00 0.00 -14498.65 28997.30 -14498.65 0.00 0.00 0.00 380.00 0.00 0.00 [Kuu] = 0.00 -14498.65 28997.30 -14498.65 0.00 0.00 390.00 0.00 0.00 0.00 0.00 -14498.65 28997.30 -14498.65 0.00 40

-4830.46 0.00 -7737.46 0.00 0.00 0.00 -14498.65 28997.30 -14498.65 414830.46 0.00 7737.46 0.00 0.00 0.00 0.00 -14498.65 14498.65 42

34 35 36 37 38 39 40 41 42

-4.92E-06 1.80E-04 -2.79E-061.34E-07 9.83E-07 5.02E-08-3.32E-06 1.93E-04 -2.03E-063.22E-07 3.37E-06 2.13E-075.14E-06 2.79E-04 3.01E-061.91E-07 1.74E-06 2.43E-08-8.70E-06 2.88E-04 -4.83E-061.07E-07 1.37E-06 7.81E-08-5.71E-06 3.11E-04 -3.64E-066.25E-07 4.70E-06 2.10E-079.00E-06 4.61E-04 5.29E-061.66E-07 2.33E-06 4.20E-07-1.39E-05 3.85E-04 -7.42E-065.85E-07 2.16E-06 7.53E-08-8.47E-06 4.21E-04 -5.71E-062.06E-07 7.36E-06 6.27E-071.40E-05 6.54E-04 8.19E-065.69E-07 3.50E-06 -9.28E-07-2.21E-05 4.66E-04 -1.05E-05-3.00E-07 3.19E-06 1.24E-07-1.10E-05 5.19E-04 -9.29E-064.52E-06 1.16E-05 -1.72E-072.07E-05 8.66E-04 1.24E-05-2.51E-07 6.40E-06 5.03E-06-3.40E-05 5.24E-04 -1.45E-054.50E-06 4.00E-06 2.85E-08-1.27E-05 5.99E-04 -1.32E-05-1.39E-05 1.23E-05 3.20E-062.91E-05 1.10E-03 1.73E-053.13E-06 4.09E-06 -1.87E-05-7.13E-05 5.45E-04 -1.61E-05-3.91E-06 1.00E-05 -1.23E-061.52E-06 6.53E-04 -2.92E-058.91E-05 4.36E-05 -6.33E-064.36E-05 1.38E-03 2.83E-05-6.33E-06 2.83E-05 7.92E-05

-0.0070 -0.0681 -0.0055-0.0119 -0.1076 0.0023-0.0232 -0.1685 -0.04330.0131 -0.1833 0.1325-0.3810 -0.5986 -0.61510.3838 0.3673 0.7052









K (c-5) =

*Brazos rigidos:

b= 0.23 m 3.41 m a = 0.75 m 1499.884.38 m



1 2 3 4 3 4 5 61396.92 2039.51 -1396.92 2039.51 1 880.99 2674.53 -880.99 1698.10 3

K (1-3) = 2039.51 3970.24 -2039.51 1985.12 2 K (3-5) = 2674.53 6150.10 -2674.53 4775.80 4-1396.92 -2039.51 1396.92 -2039.51 3 -880.99 -2674.53 880.99 -1698.10 52039.51 1985.12 -2039.51 3970.24 4 1698.10 4775.80 -1698.10 4124.27 6

7 8 9 10 9 10 11 121396.92 2039.51 -1396.92 2039.51 7 880.99 2674.53 -880.99 1698.10 9

K (7-9) = 2039.51 3970.24 -2039.51 1985.12 8 K (9-11) = 2674.53 6150.10 -2674.53 4775.80 10-1396.92 -2039.51 1396.92 -2039.51 9 -880.99 -2674.53 880.99 -1698.10 112039.51 1985.12 -2039.51 3970.24 10 1698.10 4775.80 -1698.10 4124.27 12

13 14 15 16 15 16 17 181396.92 2039.51 -1396.92 2039.51 13 880.99 2674.53 -880.99 1698.10 15

K (13-15) = 2039.51 3970.24 -2039.51 1985.12 14 K (15-17) = 2674.53 6150.10 -2674.53 4775.80 16-1396.92 -2039.51 1396.92 -2039.51 15 -880.99 -2674.53 880.99 -1698.10 172039.51 1985.12 -2039.51 3970.24 16 1698.10 4775.80 -1698.10 4124.27 18

19 20 21 22 21 22 23 241396.92 2039.51 -1396.92 2039.51 19 880.99 2674.53 -880.99 1698.10 21

K (19-21) = 2039.51 3970.24 -2039.51 1985.12 20 K (21-23) = 2674.53 6150.10 -2674.53 4775.80 22-1396.92 -2039.51 1396.92 -2039.51 21 -880.99 -2674.53 880.99 -1698.10 232039.51 1985.12 -2039.51 3970.24 22 1698.10 4775.80 -1698.10 4124.27 24

25 26 27 28 27 28 29 301396.92 2039.51 -1396.92 2039.51 25 880.99 2674.53 -880.99 1698.10 27

K (25-27) = 2039.51 3970.24 -2039.51 1985.12 26 K (27-29) = 2674.53 6150.10 -2674.53 4775.80 28-1396.92 -2039.51 1396.92 -2039.51 27 -880.99 -2674.53 880.99 -1698.10 292039.51 1985.12 -2039.51 3970.24 28 1698.10 4775.80 -1698.10 4124.27 30

31 32 33 34 33 34 35 361396.92 2039.51 -1396.92 2039.51 31 880.99 2674.53 -880.99 1698.10 33

K (31-33) = 2039.51 3970.24 -2039.51 1985.12 32 K (33-35) = 2674.53 6150.10 -2674.53 4775.80 34-1396.92 -2039.51 1396.92 -2039.51 33 -880.99 -2674.53 880.99 -1698.10 352039.51 1985.12 -2039.51 3970.24 34 1698.10 4775.80 -1698.10 4124.27 36


Semisotano

Ф = 0.00 Ф = 0.00aH aV aM 37 1 2 bH bV bM 37 3 4

1014.12 0.00 -1926.83 -1014.12 0.00 -1926.83 aH 1014.12 0.00 -1926.83 -1014.12 0.00 -1926.83 bH0.00 1220.33 0.00 0.00 -1220.33 0.00 aV 0.00 1220.33 0.00 0.00 -1220.33 0.00 bV

K (a-1) = -1926.83 0.00 4881.31 -1926.83 0.00 2440.65 aM K (b-3) = -1926.83 0.00 4881.31 -1926.83 0.00 2440.65 bM-1014.12 0.00 -1926.83 1014.12 0.00 1926.83 37 -1014.12 0.00 -1926.83 1014.12 0.00 1926.83 37

0.00 -1220.33 0.00 0.00 1220.33 0.00 1 0.00 -1220.33 0.00 0.00 1220.33 0.00 3-1926.83 0.00 2440.65 1926.83 0.00 4881.31 2 -1926.83 0.00 2440.65 1926.83 0.00 4881.31 4

Ф = 0.47cH cV cM 37 5 6

1106.97 0.00 -2103.25 -1106.97 0.00 -2103.25 cH0.00 1954.73 0.00 0.00 -1954.73 0.00 cV

K (c-5) = -2103.25 0.00 5328.22 -2103.25 0.00 2664.11 cM-1106.97 0.00 -2103.25 1106.97 0.00 2103.25 37

0.00 -1954.73 0.00 0.00 1954.73 0.00 5-2103.25 0.00 2664.11 2103.25 0.00 5328.22 6

1er Nivel

Ф = 0.00 Ф = 0.0037 1 2 38 7 8 37 3 4 38 9 10

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 37 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 370.00 1932.18 0.00 0.00 -1932.18 0.00 1 0.00 1932.18 0.00 0.00 -1932.18 0.00 3

K (1-7) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 2 K (3-9) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 4-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 38 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 38

0.00 -1932.18 0.00 0.00 1932.18 0.00 7 0.00 -1932.18 0.00 0.00 1932.18 0.00 9

-4830.46 0.00 3864.37 4830.46 0.00 7728.73 8 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 10

Ф = 1.1737 5 6 38 11 12

2968.81 0.00 -3562.57 -2968.81 0.00 -3562.57 370.00 3094.98 0.00 0.00 -3094.98 0.00 5

K (5-11) = -3562.57 0.00 5700.12 -3562.57 0.00 2850.06 6-2968.81 0.00 -3562.57 2968.81 0.00 3562.57 38

0.00 -3094.98 0.00 0.00 3094.98 0.00 11-3562.57 0.00 2850.06 3562.57 0.00 5700.12 12

2do Nivel

Ф = 0.00 Ф = 0.0038 7 8 39 13 14 38 9 10 39 15 16

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 38 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 380.00 1932.18 0.00 0.00 -1932.18 0.00 7 0.00 1932.18 0.00 0.00 -1932.18 0.00 9

K (7-13) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 8 K (9-15) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 10-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 39 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 39

0.00 -1932.18 0.00 0.00 1932.18 0.00 13 0.00 -1932.18 0.00 0.00 1932.18 0.00 15-4830.46 0.00 3864.37 4830.46 0.00 7728.73 14 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 16

Ф = 1.1738 11 12 39 17 18

2968.81 0.00 -3562.57 -2968.81 0.00 -3562.57 380.00 3094.98 0.00 0.00 -3094.98 0.00 11

K (11-17) = -3562.57 0.00 5700.12 -3562.57 0.00 2850.06 12-2968.81 0.00 -3562.57 2968.81 0.00 3562.57 39

0.00 -3094.98 0.00 0.00 3094.98 0.00 17-3562.57 0.00 2850.06 3562.57 0.00 5700.12 18

3er Nivel

Ф = 0.00 Ф = 0.0039 13 14 40 19 20 39 15 16 40 21 22

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 39 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 390.00 1932.18 0.00 0.00 -1932.18 0.00 13 0.00 1932.18 0.00 0.00 -1932.18 0.00 15

K (13-19) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 14 K (15-21) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 16-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 40 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 40

0.00 -1932.18 0.00 0.00 1932.18 0.00 19 0.00 -1932.18 0.00 0.00 1932.18 0.00 21-4830.46 0.00 3864.37 4830.46 0.00 7728.73 20 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 22

Ф = 1.1739 17 18 40 23 24

2968.81 0.00 -3562.57 -2968.81 0.00 -3562.57 390.00 3094.98 0.00 0.00 -3094.98 0.00 17

K (17-23) = -3562.57 0.00 5700.12 -3562.57 0.00 2850.06 18-2968.81 0.00 -3562.57 2968.81 0.00 3562.57 40

0.00 -3094.98 0.00 0.00 3094.98 0.00 23-3562.57 0.00 2850.06 3562.57 0.00 5700.12 24

4to Nivel

Ф = 0.00 Ф = 0.0040 19 20 41 25 26 40 21 22 41 27 28

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 40 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 400.00 1932.18 0.00 0.00 -1932.18 0.00 19 0.00 1932.18 0.00 0.00 -1932.18 0.00 21

K (19-25) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 20 K (21-27) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 22-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 41 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 41

0.00 -1932.18 0.00 0.00 1932.18 0.00 25 0.00 -1932.18 0.00 0.00 1932.18 0.00 27-4830.46 0.00 3864.37 4830.46 0.00 7728.73 26 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 28

Ф = 1.1740 23 24 41 29 30

2968.81 0.00 -3562.57 -2968.81 0.00 -3562.57 400.00 3094.98 0.00 0.00 -3094.98 0.00 23

K (23-29) = -3562.57 0.00 5700.12 -3562.57 0.00 2850.06 24-2968.81 0.00 -3562.57 2968.81 0.00 3562.57 41

0.00 -3094.98 0.00 0.00 3094.98 0.00 29-3562.57 0.00 2850.06 3562.57 0.00 5700.12 30

5to Nivel

Ф = 0.00 Ф = 0.0041 25 26 42 31 32 41 27 28 42 33 34

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 41 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 410.00 1932.18 0.00 0.00 -1932.18 0.00 25 0.00 1932.18 0.00 0.00 -1932.18 0.00 27

K (25-31) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 26 K (27-33) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 28-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 42 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 42

0.00 -1932.18 0.00 0.00 1932.18 0.00 31 0.00 -1932.18 0.00 0.00 1932.18 0.00 33-4830.46 0.00 3864.37 4830.46 0.00 7728.73 32 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 34

Ф = 1.1741 29 30 42 35 36

2968.81 0.00 -3562.57 -2968.81 0.00 -3562.57 410.00 3094.98 0.00 0.00 -3094.98 0.00 29

K (29-35) = -3562.57 0.00 5700.12 -3562.57 0.00 2850.06 30-2968.81 0.00 -3562.57 2968.81 0.00 3562.57 42

0.00 -3094.98 0.00 0.00 3094.98 0.00 35-3562.57 0.00 2850.06 3562.57 0.00 5700.12 36


1 2 3 4 5 6 7 8 9 10 11 12 13 14 151 4549.43 2039.51 -1396.92 2039.51 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.002 2039.51 16580.28 -2039.51 1985.12 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.003 -1396.92 -2039.51 5430.42 635.02 -880.99 1698.10 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.004 2039.51 1985.12 635.02 22730.39 -2674.53 4775.80 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.005 0.00 0.00 -880.99 -2674.53 5930.70 -1698.10 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.006 0.00 0.00 1698.10 4775.80 -1698.10 15152.61 0.00 0.00 0.00 0.00 0.00 2850.06 0.00 0.00 0.007 -1932.18 0.00 0.00 0.00 0.00 0.00 5261.29 2039.51 -1396.92 2039.51 0.00 0.00 -1932.18 0.00 0.008 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 19427.71 -2039.51 1985.12 0.00 0.00 0.00 3864.37 0.009 0.00 0.00 -1932.18 0.00 0.00 0.00 -1396.92 -2039.51 6142.28 635.02 -880.99 1698.10 0.00 0.00 -1932.18

10 0.00 0.00 0.00 3864.37 0.00 0.00 2039.51 1985.12 635.02 25577.81 -2674.53 4775.80 0.00 0.00 0.0011 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -880.99 -2674.53 7070.96 -1698.10 0.00 0.00 0.0012 0.00 0.00 0.00 0.00 0.00 2850.06 0.00 0.00 1698.10 4775.80 -1698.10 15524.51 0.00 0.00 0.0013 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 5261.29 2039.51 -1396.9214 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 19427.71 -2039.5115 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 -1396.92 -2039.51 6142.2816 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 2039.51 1985.12 635.0217 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -880.9918 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2850.06 0.00 0.00 1698.1019 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00

[K] =20 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.0021 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.1822 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0023 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0024 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0025 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0026 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0027 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0028 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0029 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0030 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0031 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0032 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0033 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0034 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0035 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0036 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0037 0.00 -2903.63 0.00 -2903.63 0.00 -1459.33 0.00 -4830.46 0.00 -4830.46 0.00 -3562.57 0.00 0.00 0.0038 0.00 -4830.46 0.00 -4830.46 0.00 -3562.57 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.0039 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -3562.57 0.00 0.00 0.0040 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.0041 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0042 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

[K] = Kvv kvu

Kuv kuu

1 2 3 4 5 6 7 8 9 10 11 12 13 14 151 4549.43 2039.51 -1396.92 2039.51 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.002 2039.51 16580.28 -2039.51 1985.12 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.003 -1396.92 -2039.51 5430.42 635.02 -880.99 1698.10 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.004 2039.51 1985.12 635.02 22730.39 -2674.53 4775.80 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.005 0.00 0.00 -880.99 -2674.53 5930.70 -1698.10 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.006 0.00 0.00 1698.10 4775.80 -1698.10 15152.61 0.00 0.00 0.00 0.00 0.00 2850.06 0.00 0.00 0.007 -1932.18 0.00 0.00 0.00 0.00 0.00 5261.29 2039.51 -1396.92 2039.51 0.00 0.00 -1932.18 0.00 0.008 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 19427.71 -2039.51 1985.12 0.00 0.00 0.00 3864.37 0.009 0.00 0.00 -1932.18 0.00 0.00 0.00 -1396.92 -2039.51 6142.28 635.02 -880.99 1698.10 0.00 0.00 -1932.18

10 0.00 0.00 0.00 3864.37 0.00 0.00 2039.51 1985.12 635.02 25577.81 -2674.53 4775.80 0.00 0.00 0.0011 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -880.99 -2674.53 7070.96 -1698.10 0.00 0.00 0.0012 0.00 0.00 0.00 0.00 0.00 2850.06 0.00 0.00 1698.10 4775.80 -1698.10 15524.51 0.00 0.00 0.0013 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 5261.29 2039.51 -1396.9214 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 19427.71 -2039.5115 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 -1396.92 -2039.51 6142.2816 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 2039.51 1985.12 635.02

[Kvv] =17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -880.9918 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2850.06 0.00 0.00 1698.1019 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.0020 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.0021 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.1822 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0023 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0024 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0025 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0026 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0027 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0028 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0029 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0030 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0031 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0032 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0033 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0034 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0035 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0036 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

37 0.00 -2903.63 0.00 -2903.63 0.00 -1459.33 0.00 -4830.46 0.00 -4830.46 0.00 -3562.57 0.00 0.00 0.0038 0.00 -4830.46 0.00 -4830.46 0.00 -3562.57 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00

[Kuv] = 39 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -3562.57 0.00 0.00 0.0040 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.0041 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0042 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

4.61E-04 -2.54E-05 2.16E-04 -3.21E-05 8.88E-05 -2.82E-06 3.51E-04 -3.94E-06 2.47E-04 -1.19E-05 1.38E-04 -7.06E-06 2.99E-04 -3.45E-06 2.48E-04-2.54E-05 6.99E-05 2.13E-05 -4.45E-06 2.57E-06 -5.82E-07 -6.04E-06 -1.41E-05 1.18E-06 2.69E-06 3.04E-06 -5.78E-07 -3.97E-06 3.45E-06 7.23E-072.16E-04 2.13E-05 3.79E-04 -9.74E-06 1.40E-04 -2.28E-05 2.47E-04 -2.27E-07 2.82E-04 -4.87E-06 1.81E-04 -4.72E-06 2.48E-04 7.48E-07 2.50E-04-3.21E-05 -4.45E-06 -9.74E-06 5.50E-05 2.61E-05 -1.47E-05 -1.53E-05 2.67E-06 -6.23E-06 -7.60E-06 1.34E-05 7.39E-06 -1.01E-05 -2.82E-07 -3.95E-068.88E-05 2.57E-06 1.40E-04 2.61E-05 3.69E-04 1.60E-05 1.38E-04 2.60E-06 1.81E-04 1.05E-05 3.12E-04 7.35E-06 1.70E-04 1.68E-06 2.01E-04-2.82E-06 -5.82E-07 -2.28E-05 -1.47E-05 1.60E-05 7.80E-05 -6.28E-06 -5.09E-07 -5.12E-06 6.75E-06 7.12E-06 -1.58E-05 -3.98E-06 2.83E-07 -3.31E-063.51E-04 -6.04E-06 2.47E-04 -1.53E-05 1.38E-04 -6.28E-06 6.26E-04 -2.12E-05 3.74E-04 -2.98E-05 2.11E-04 -6.03E-06 5.11E-04 -5.31E-06 3.99E-04-3.94E-06 -1.41E-05 -2.27E-07 2.67E-06 2.60E-06 -5.09E-07 -2.12E-05 6.11E-05 1.63E-05 -3.89E-06 3.02E-06 -7.68E-08 -5.16E-06 -1.24E-05 2.62E-072.47E-04 1.18E-06 2.82E-04 -6.23E-06 1.81E-04 -5.12E-06 3.74E-04 1.63E-05 5.23E-04 -9.23E-06 2.75E-04 -2.24E-05 3.99E-04 3.44E-07 4.28E-04-1.19E-05 2.69E-06 -4.87E-06 -7.60E-06 1.05E-05 6.75E-06 -2.98E-05 -3.89E-06 -9.23E-06 4.93E-05 2.44E-05 -1.40E-05 -1.46E-05 2.40E-06 -6.02E-061.38E-04 3.04E-06 1.81E-04 1.34E-05 3.12E-04 7.12E-06 2.11E-04 3.02E-06 2.75E-04 2.44E-05 5.31E-04 1.77E-05 2.66E-04 3.10E-06 3.19E-04-7.06E-06 -5.78E-07 -4.72E-06 7.39E-06 7.35E-06 -1.58E-05 -6.03E-06 -7.68E-08 -2.24E-05 -1.40E-05 1.77E-05 7.89E-05 -8.03E-06 -4.73E-07 -5.30E-062.99E-04 -3.97E-06 2.48E-04 -1.01E-05 1.70E-04 -3.98E-06 5.11E-04 -5.16E-06 3.99E-04 -1.46E-05 2.66E-04 -8.03E-06 7.83E-04 -2.19E-05 5.23E-04-3.45E-06 3.45E-06 7.48E-07 -2.82E-07 1.68E-06 2.83E-07 -5.31E-06 -1.24E-05 3.44E-07 2.40E-06 3.10E-06 -4.73E-07 -2.19E-05 6.08E-05 1.63E-052.48E-04 7.23E-07 2.50E-04 -3.95E-06 2.01E-04 -3.31E-06 3.99E-04 2.62E-07 4.28E-04 -6.02E-06 3.19E-04 -5.30E-06 5.23E-04 1.63E-05 6.69E-04-8.62E-06 -2.85E-07 -3.34E-06 3.14E-06 7.47E-06 -1.08E-06 -1.49E-05 2.40E-06 -6.16E-06 -6.72E-06 1.31E-05 6.91E-06 -3.20E-05 -3.73E-06 -1.01E-051.70E-04 2.03E-06 2.01E-04 8.78E-06 2.80E-04 4.55E-06 2.66E-04 3.06E-06 3.19E-04 1.28E-05 4.69E-04 8.32E-06 3.42E-04 3.49E-06 4.13E-04-3.99E-06 3.38E-07 -3.23E-06 -1.10E-06 4.51E-06 4.21E-06 -7.86E-06 -4.82E-07 -5.27E-06 6.88E-06 8.20E-06 -1.59E-05 -6.87E-06 -8.01E-08 -2.28E-052.72E-04 -1.97E-06 2.43E-04 -6.41E-06 1.90E-04 -3.00E-06 4.57E-04 -3.66E-06 3.97E-04 -1.00E-05 3.01E-04 -5.22E-06 6.69E-04 -5.74E-06 5.49E-04-1.61E-06 -5.99E-07 -3.73E-07 3.91E-07 1.24E-06 -8.60E-09 -3.74E-06 3.02E-06 3.03E-07 -2.16E-07 2.14E-06 3.50E-07 -5.83E-06 -1.23E-05 1.08E-072.43E-04 -3.64E-07 2.38E-04 -2.66E-06 2.11E-04 -1.57E-06 3.97E-04 3.18E-07 3.96E-04 -3.95E-06 3.39E-04 -3.67E-06 5.49E-04 1.04E-07 5.74E-04-5.40E-06 3.95E-07 -2.22E-06 3.93E-07 4.75E-06 8.33E-07 -1.03E-05 -2.17E-07 -4.05E-06 2.96E-06 8.94E-06 -9.35E-07 -1.67E-05 2.46E-06 -6.94E-061.90E-04 1.46E-06 2.11E-04 5.66E-06 2.62E-04 2.85E-06 3.01E-04 2.08E-06 3.39E-04 8.73E-06 4.35E-04 5.55E-06 3.97E-04 3.52E-06 4.57E-04-3.09E-06 -4.84E-09 -1.55E-06 9.56E-07 2.90E-06 -6.17E-07 -5.16E-06 3.46E-07 -3.66E-06 -9.64E-07 5.51E-06 4.33E-06 -8.97E-06 -4.44E-07 -5.74E-062.59E-04 -1.34E-06 2.40E-04 -4.59E-06 2.00E-04 -2.18E-06 4.30E-04 -2.07E-06 3.93E-04 -7.01E-06 3.21E-04 -4.14E-06 6.19E-04 -4.28E-06 5.49E-04-1.01E-06 2.09E-07 -2.62E-07 9.15E-08 7.96E-07 8.81E-08 -1.88E-06 -5.49E-07 -4.81E-07 3.75E-07 1.47E-06 9.12E-09 -3.94E-06 3.10E-06 1.30E-072.40E-04 -3.64E-07 2.34E-04 -1.90E-06 2.16E-04 -1.05E-06 3.93E-04 -5.14E-07 3.85E-04 -2.92E-06 3.49E-04 -2.01E-06 5.49E-04 6.23E-08 5.43E-04-3.56E-06 9.48E-08 -1.46E-06 6.20E-07 3.14E-06 1.40E-07 -6.56E-06 3.80E-07 -2.74E-06 4.17E-07 5.81E-06 9.54E-07 -1.15E-05 -2.03E-07 -4.59E-062.00E-04 1.06E-06 2.16E-04 4.05E-06 2.52E-04 2.02E-06 3.21E-04 1.61E-06 3.49E-04 6.20E-06 4.16E-04 3.84E-06 4.29E-04 2.63E-06 4.76E-04-2.16E-06 1.13E-07 -1.02E-06 2.00E-07 1.98E-06 3.84E-07 -4.02E-06 1.62E-08 -1.92E-06 9.69E-07 3.70E-06 -5.91E-07 -6.35E-06 4.15E-07 -4.08E-062.55E-04 -1.10E-06 2.38E-04 -3.96E-06 2.04E-04 -1.94E-06 4.22E-04 -1.78E-06 3.91E-04 -6.11E-06 3.27E-04 -3.58E-06 6.02E-04 -2.91E-06 5.48E-04-1.59E-06 1.27E-08 -5.51E-07 2.48E-07 1.34E-06 8.90E-08 -3.07E-06 3.66E-07 -8.63E-07 2.79E-07 2.45E-06 2.36E-07 -5.46E-06 -8.32E-07 -1.18E-062.38E-04 -3.98E-07 2.33E-04 -1.64E-06 2.18E-04 -8.36E-07 3.91E-04 -4.72E-07 3.81E-04 -2.48E-06 3.53E-04 -1.70E-06 5.47E-04 -9.82E-07 5.34E-04-5.32E-06 2.35E-07 -2.20E-06 7.48E-07 4.70E-06 4.39E-07 -9.91E-06 2.55E-07 -4.09E-06 1.36E-06 8.74E-06 5.22E-07 -1.70E-05 8.54E-07 -6.99E-062.04E-04 9.34E-07 2.18E-04 3.49E-06 2.48E-04 1.73E-06 3.28E-04 1.40E-06 3.53E-04 5.36E-06 4.10E-04 3.30E-06 4.40E-04 2.43E-06 4.82E-04-2.72E-06 8.32E-08 -1.22E-06 4.65E-07 2.46E-06 1.19E-07 -4.95E-06 1.96E-07 -2.42E-06 4.15E-07 4.60E-06 7.82E-07 -8.36E-06 5.44E-08 -4.37E-06

0.2729 -0.1319 0.0413 -0.1278 -0.1962 -0.0432 0.3387 -0.2420 0.0675 -0.1652 -0.2536 -0.2099 0.1705 0.0405 0.06090.3603 -0.3304 0.0498 -0.2016 -0.2560 -0.2151 0.2508 0.1072 0.0895 -0.0040 -0.2124 0.0491 0.3668 -0.2916 0.07910.1467 0.0582 0.0595 -0.0097 -0.1287 0.0244 0.3537 -0.2908 0.0766 -0.1794 -0.2686 -0.2258 0.2648 0.0995 0.10020.1023 -0.0183 0.0360 -0.0140 -0.0863 -0.0136 0.1806 0.0509 0.0693 -0.0109 -0.1560 0.0231 0.3817 -0.2908 0.08780.0880 -0.0005 0.0357 -0.0137 -0.0772 -0.0048 0.1664 -0.0185 0.0637 -0.0192 -0.1436 -0.0190 0.2792 0.0490 0.1085-0.0133 -0.0004 -0.0057 0.0023 0.0119 0.0005 -0.0252 0.0045 -0.0101 0.0021 0.0221 0.0039 -0.0411 -0.0152 -0.0190

3531.93 1185.05 2899.08 -161.59 297.85 -51.991185.05 6427.37 -935.28 3306.55 -97.16 50.652899.08 -935.28 6187.73 -862.71 3567.79 -704.40-161.59 3306.55 -862.71 6274.84 -819.21 3405.09297.85 -97.16 3567.79 -819.21 8765.19 -6083.95-51.99 50.65 -704.40 3405.09 -6083.95 8768.44


14154.79 -11019.57 0.00 0.00 0.00 0.00 3531.93 1185.05 2899.08 -161.59 297.85 -51.99-11019.57 22039.15 -11019.57 0.00 0.00 0.00 1185.05 6427.37 -935.28 3306.55 -97.16 50.65

= 0.00 -11019.57 22039.15 -11019.57 0.00 0.00 - 2899.08 -935.28 6187.73 -862.71 3567.79 -704.400.00 0.00 -11019.57 22039.15 -11019.57 0.00 -161.59 3306.55 -862.71 6274.84 -819.21 3405.090.00 0.00 0.00 -11019.57 22039.15 -11019.57 297.85 -97.16 3567.79 -819.21 8765.19 -6083.950.00 0.00 0.00 0.00 -11019.57 11019.57 -51.99 50.65 -704.40 3405.09 -6083.95 8768.44

[K-1vv] =

[Kuv]*[K-1vv] =


10622.86 -12204.62 -2899.08 161.59 -297.85 51.99-12204.62 15611.78 -10084.29 -3306.55 97.16 -50.65

[ KL 5] = -2899.08 -10084.29 15851.42 -10156.86 -3567.79 704.40161.59 -3306.55 -10156.86 15764.31 -10200.36 -3405.09-297.85 97.16 -3567.79 -10200.36 13273.96 -4935.6351.99 -50.65 704.40 -3405.09 -4935.63 2251.14

16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 330.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 2850.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

2039.51 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.001985.12 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00635.02 -880.99 1698.10 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

25577.81 -2674.53 4775.80 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00-2674.53 7070.96 -1698.10 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.004775.80 -1698.10 15524.51 0.00 0.00 0.00 0.00 0.00 2850.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 5261.29 2039.51 -1396.92 2039.51 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 2039.51 19427.71 -2039.51 1985.12 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 -1396.92 -2039.51 6142.28 635.02 -880.99 1698.10 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00

3864.37 0.00 0.00 2039.51 1985.12 635.02 25577.81 -2674.53 4775.80 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.000.00 -3094.98 0.00 0.00 0.00 -880.99 -2674.53 7070.96 -1698.10 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.000.00 0.00 2850.06 0.00 0.00 1698.10 4775.80 -1698.10 15524.51 0.00 0.00 0.00 0.00 0.00 2850.06 0.00 0.00 0.000.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 5261.29 2039.51 -1396.92 2039.51 0.00 0.00 -1932.18 0.00 0.000.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 19427.71 -2039.51 1985.12 0.00 0.00 0.00 3864.37 0.000.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 -1396.92 -2039.51 6142.28 635.02 -880.99 1698.10 0.00 0.00 -1932.180.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 2039.51 1985.12 635.02 25577.81 -2674.53 4775.80 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -880.99 -2674.53 7070.96 -1698.10 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2850.06 0.00 0.00 1698.10 4775.80 -1698.10 15524.51 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 3329.11 2039.51 -1396.920.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 11698.97 -2039.510.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 -1396.92 -2039.51 4210.090.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 2039.51 1985.12 635.020.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -880.990.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2850.06 0.00 0.00 1698.100.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

-4830.46 0.00 -3562.57 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -3562.57 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

-4830.46 0.00 -3562.57 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -3562.57 0.00 0.00 0.000.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -3562.57 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -3562.57 0.00 4830.46 0.0016 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33

16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 330.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 2850.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

2039.51 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.001985.12 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00635.02 -880.99 1698.10 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

25577.81 -2674.53 4775.80 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00-2674.53 7070.96 -1698.10 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.004775.80 -1698.10 15524.51 0.00 0.00 0.00 0.00 0.00 2850.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

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-4830.46 0.00 -3562.57 0.00 0.00 0.00 -11019.57 22039.15 -11019.57 414830.46 0.00 3562.57 0.00 0.00 0.00 0.00 -11019.57 11019.57 42

34 35 36 37 38 39 40 41 42

34 35 36 37 38 39 40 41 420.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 10.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 20.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 40.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 50.00 0.00 0.00 -1459.33 -3562.57 0.00 0.00 0.00 0.00 60.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 70.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 80.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 90.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 100.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 110.00 0.00 0.00 -3562.57 0.00 -3562.57 0.00 0.00 0.00 120.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 130.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 140.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 150.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 160.00 0.00 0.00

[Kvu] =0.00 0.00 0.00 0.00 0.00 0.00 17

0.00 0.00 0.00 0.00 -3562.57 0.00 -3562.57 0.00 0.00 180.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 190.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 200.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 210.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 220.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 230.00 0.00 0.00 0.00 0.00 -3562.57 0.00 -3562.57 0.00 240.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 250.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 260.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 27

3864.37 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 280.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 290.00 0.00 2850.06 0.00 0.00 0.00 -3562.57 0.00 -3562.57 30

2039.51 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 311985.12 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 4830.46 32635.02 -880.99 1698.10 0.00 0.00 0.00 0.00 0.00 0.00 33

17849.08 -2674.53 4775.80 0.00 0.00 0.00 0.00 -4830.46 4830.46 34-2674.53 3975.97 -1698.10 0.00 0.00 0.00 0.00 0.00 0.00 354775.80 -1698.10 9824.39 0.00 0.00 0.00 0.00 -3562.57 3562.57 36

0.00 0.00 0.00 14154.79 -11019.57 0.00 0.00 0.00 0.00 370.00 0.00 0.00 -11019.57 22039.15 -11019.57 0.00 0.00 0.00 380.00 0.00 0.00 [Kuu] = 0.00 -11019.57 22039.15 -11019.57 0.00 0.00 390.00 0.00 0.00 0.00 0.00 -11019.57 22039.15 -11019.57 0.00 40

-4830.46 0.00 -3562.57 0.00 0.00 0.00 -11019.57 22039.15 -11019.57 414830.46 0.00 3562.57 0.00 0.00 0.00 0.00 -11019.57 11019.57 42

34 35 36 37 38 39 40 41 42

-5.32E-06 2.04E-04 -2.72E-062.35E-07 9.34E-07 8.32E-08-2.20E-06 2.18E-04 -1.22E-067.48E-07 3.49E-06 4.65E-074.70E-06 2.48E-04 2.46E-064.39E-07 1.73E-06 1.19E-07-9.91E-06 3.28E-04 -4.95E-062.55E-07 1.40E-06 1.96E-07-4.09E-06 3.53E-04 -2.42E-061.36E-06 5.36E-06 4.15E-078.74E-06 4.10E-04 4.60E-065.22E-07 3.30E-06 7.82E-07-1.70E-05 4.40E-04 -8.36E-068.54E-07 2.43E-06 5.44E-08-6.99E-06 4.82E-04 -4.37E-061.43E-06 9.25E-06 1.92E-061.50E-05 5.82E-04 7.95E-062.09E-06 5.63E-06 -8.92E-07-2.89E-05 5.35E-04 -1.26E-05-6.86E-09 3.89E-06 6.49E-07-1.13E-05 6.03E-04 -9.27E-066.61E-06 1.62E-05 -1.39E-062.51E-05 7.71E-04 1.36E-05-1.20E-06 9.72E-06 8.21E-06-4.66E-05 6.01E-04 -1.99E-055.08E-06 5.68E-06 -8.65E-07-1.83E-05 7.06E-04 -1.62E-05-9.22E-06 2.14E-05 1.44E-054.05E-05 9.88E-04 2.25E-051.51E-05 1.42E-05 -2.78E-05-8.90E-05 6.20E-04 -1.57E-05-5.89E-06 1.19E-05 -1.72E-06-2.68E-05 7.70E-04 -5.68E-058.88E-05 7.23E-05 -3.04E-057.23E-05 1.26E-03 4.53E-05-3.04E-05 4.53E-05 1.42E-04

-0.0131 -0.0598 -0.0075-0.0248 -0.1041 -0.0094-0.0372 -0.1762 -0.0314-0.0522 -0.2575 0.0273-0.3197 -0.7000 -0.37740.2584 0.3871 0.3855









K (-) =

*Brazos rigidos:

a = 0.75 m 0.00 m b= 0.23 m 0.00000.00 m



1 2 3 4 3 4 5 61396.92 2039.51 -1396.92 2039.51 1 265.30 673.85 -265.30 673.85 3

K (1-3) = 2039.51 3970.24 -2039.51 1985.12 2 K (3-5) = 673.85 2282.11 -673.85 1141.05 4-1396.92 -2039.51 1396.92 -2039.51 3 -265.30 -673.85 265.30 -673.85 52039.51 1985.12 -2039.51 3970.24 4 673.85 1141.05 -673.85 2282.11 6

7 8 9 10 9 10 11 121396.92 2039.51 -1396.92 2039.51 7 265.30 673.85 -265.30 673.85 9

K (7-9) = 2039.51 3970.24 -2039.51 1985.12 8 K (9-11) = 673.85 2282.11 -673.85 1141.05 10-1396.92 -2039.51 1396.92 -2039.51 9 -265.30 -673.85 265.30 -673.85 112039.51 1985.12 -2039.51 3970.24 10 673.85 1141.05 -673.85 2282.11 12

13 14 15 16 15 16 17 181396.92 2039.51 -1396.92 2039.51 13 265.30 673.85 -265.30 673.85 15

K (13-15) = 2039.51 3970.24 -2039.51 1985.12 14 K (15-17) = 673.85 2282.11 -673.85 1141.05 16-1396.92 -2039.51 1396.92 -2039.51 15 -265.30 -673.85 265.30 -673.85 172039.51 1985.12 -2039.51 3970.24 16 673.85 1141.05 -673.85 2282.11 18

19 20 21 22 21 22 23 241396.92 2039.51 -1396.92 2039.51 19 265.30 673.85 -265.30 673.85 21

K (19-21) = 2039.51 3970.24 -2039.51 1985.12 20 K (21-23) = 673.85 2282.11 -673.85 1141.05 22-1396.92 -2039.51 1396.92 -2039.51 21 -265.30 -673.85 265.30 -673.85 232039.51 1985.12 -2039.51 3970.24 22 673.85 1141.05 -673.85 2282.11 24

25 26 27 28 27 28 29 301396.92 2039.51 -1396.92 2039.51 25 265.30 673.85 -265.30 673.85 27

K (25-27) = 2039.51 3970.24 -2039.51 1985.12 26 K (27-29) = 673.85 2282.11 -673.85 1141.05 28-1396.92 -2039.51 1396.92 -2039.51 27 -265.30 -673.85 265.30 -673.85 292039.51 1985.12 -2039.51 3970.24 28 673.85 1141.05 -673.85 2282.11 30

31 32 33 34 33 34 35 361396.92 2039.51 -1396.92 2039.51 31 265.30 673.85 -265.30 673.85 33

K (31-33) = 2039.51 3970.24 -2039.51 1985.12 32 K (33-35) = 673.85 2282.11 -673.85 1141.05 34-1396.92 -2039.51 1396.92 -2039.51 33 -265.30 -673.85 265.30 -673.85 352039.51 1985.12 -2039.51 3970.24 34 673.85 1141.05 -673.85 2282.11 36


Semisotano

Ф = 0.00 Ф = 0.00aH aV aM 37 1 2 bH bV bM 37 3 4

1014.12 0.00 -1926.83 -1014.12 0.00 -1926.83 aH 1014.12 0.00 -1926.83 -1014.12 0.00 -1926.83 bH0.00 1220.33 0.00 0.00 -1220.33 0.00 aV 0.00 1220.33 0.00 0.00 -1220.33 0.00 bV

K (a-1) = -1926.83 0.00 4881.31 -1926.83 0.00 2440.65 aM K (b-3) = -1926.83 0.00 4881.31 -1926.83 0.00 2440.65 bM-1014.12 0.00 -1926.83 1014.12 0.00 1926.83 37 -1014.12 0.00 -1926.83 1014.12 0.00 1926.83 37

0.00 -1220.33 0.00 0.00 1220.33 0.00 1 0.00 -1220.33 0.00 0.00 1220.33 0.00 3-1926.83 0.00 2440.65 1926.83 0.00 4881.31 2 -1926.83 0.00 2440.65 1926.83 0.00 4881.31 4

Ф = 0.00cH cV cM 37 5 6

1624.43 0.00 -3086.41 -1624.43 0.00 -3086.41 cH0.00 1954.73 0.00 0.00 -1954.73 0.00 cV

K (c-5) = -3086.41 0.00 7818.91 -3086.41 0.00 3909.45 cM-1624.43 0.00 -3086.41 1624.43 0.00 3086.41 37

0.00 -1954.73 0.00 0.00 1954.73 0.00 5-3086.41 0.00 3909.45 3086.41 0.00 7818.91 6

1er Nivel

Ф = 0.00 Ф = 0.0037 1 2 38 7 8 37 3 4 38 9 10

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 37 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 370.00 1932.18 0.00 0.00 -1932.18 0.00 1 0.00 1932.18 0.00 0.00 -1932.18 0.00 3

K (1-7) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 2 K (3-9) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 4-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 38 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 38

0.00 -1932.18 0.00 0.00 1932.18 0.00 7 0.00 -1932.18 0.00 0.00 1932.18 0.00 9

-4830.46 0.00 3864.37 4830.46 0.00 7728.73 8 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 10

Ф = 0.0037 5 6 38 11 12

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 370.00 3094.98 0.00 0.00 -3094.98 0.00 5

K (5-11) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 6-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 38

0.00 -3094.98 0.00 0.00 3094.98 0.00 11-7737.46 0.00 6189.97 7737.46 0.00 12379.94 12

2do Nivel

Ф = 0.00 Ф = 0.0038 7 8 39 13 14 38 9 10 39 15 16

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 38 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 380.00 1932.18 0.00 0.00 -1932.18 0.00 7 0.00 1932.18 0.00 0.00 -1932.18 0.00 9

K (7-13) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 8 K (9-15) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 10-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 39 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 39

0.00 -1932.18 0.00 0.00 1932.18 0.00 13 0.00 -1932.18 0.00 0.00 1932.18 0.00 15-4830.46 0.00 3864.37 4830.46 0.00 7728.73 14 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 16

Ф = 0.0038 11 12 39 17 18

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 380.00 3094.98 0.00 0.00 -3094.98 0.00 11

K (11-17) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 12-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 39

0.00 -3094.98 0.00 0.00 3094.98 0.00 17-7737.46 0.00 6189.97 7737.46 0.00 12379.94 18

3er Nivel

Ф = 0.00 Ф = 0.0039 13 14 40 19 20 39 15 16 40 21 22

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 39 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 390.00 1932.18 0.00 0.00 -1932.18 0.00 13 0.00 1932.18 0.00 0.00 -1932.18 0.00 15

K (13-19) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 14 K (15-21) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 16-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 40 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 40

0.00 -1932.18 0.00 0.00 1932.18 0.00 19 0.00 -1932.18 0.00 0.00 1932.18 0.00 21-4830.46 0.00 3864.37 4830.46 0.00 7728.73 20 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 22

Ф = 0.0039 17 18 40 23 24

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 390.00 3094.98 0.00 0.00 -3094.98 0.00 17

K (17-23) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 18-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 40

0.00 -3094.98 0.00 0.00 3094.98 0.00 23-7737.46 0.00 6189.97 7737.46 0.00 12379.94 24

4to Nivel

Ф = 0.00 Ф = 0.0040 19 20 41 25 26 40 21 22 41 27 28

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 40 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 400.00 1932.18 0.00 0.00 -1932.18 0.00 19 0.00 1932.18 0.00 0.00 -1932.18 0.00 21

K (19-25) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 20 K (21-27) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 22-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 41 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 41

0.00 -1932.18 0.00 0.00 1932.18 0.00 25 0.00 -1932.18 0.00 0.00 1932.18 0.00 27-4830.46 0.00 3864.37 4830.46 0.00 7728.73 26 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 28

Ф = 0.0040 23 24 41 29 30

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 400.00 3094.98 0.00 0.00 -3094.98 0.00 23

K (23-29) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 24-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 41

0.00 -3094.98 0.00 0.00 3094.98 0.00 29-7737.46 0.00 6189.97 7737.46 0.00 12379.94 30

5to Nivel

Ф = 0.00 Ф = 0.0041 25 26 42 31 32 41 27 28 42 33 34

4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 41 4025.38 0.00 -4830.46 -4025.38 0.00 -4830.46 410.00 1932.18 0.00 0.00 -1932.18 0.00 25 0.00 1932.18 0.00 0.00 -1932.18 0.00 27

K (25-31) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 26 K (27-33) = -4830.46 0.00 7728.73 -4830.46 0.00 3864.37 28-4025.38 0.00 -4830.46 4025.38 0.00 4830.46 42 -4025.38 0.00 -4830.46 4025.38 0.00 4830.46 42

0.00 -1932.18 0.00 0.00 1932.18 0.00 31 0.00 -1932.18 0.00 0.00 1932.18 0.00 33-4830.46 0.00 3864.37 4830.46 0.00 7728.73 32 -4830.46 0.00 3864.37 4830.46 0.00 7728.73 34

Ф = 0.0041 29 30 42 35 36

6447.88 0.00 -7737.46 -6447.88 0.00 -7737.46 410.00 3094.98 0.00 0.00 -3094.98 0.00 29

K (29-35) = -7737.46 0.00 12379.94 -7737.46 0.00 6189.97 30-6447.88 0.00 -7737.46 6447.88 0.00 7737.46 42

0.00 -3094.98 0.00 0.00 3094.98 0.00 35-7737.46 0.00 6189.97 7737.46 0.00 12379.94 36


1 2 3 4 5 6 7 8 9 10 11 12 13 14 151 4549.43 2039.51 -1396.92 2039.51 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.002 2039.51 16580.28 -2039.51 1985.12 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.003 -1396.92 -2039.51 4814.73 -1365.66 -265.30 673.85 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.004 2039.51 1985.12 -1365.66 18862.39 -673.85 1141.05 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.005 0.00 0.00 -265.30 -673.85 5315.01 -673.85 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.006 0.00 0.00 673.85 1141.05 -673.85 22480.95 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.007 -1932.18 0.00 0.00 0.00 0.00 0.00 5261.29 2039.51 -1396.92 2039.51 0.00 0.00 -1932.18 0.00 0.008 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 19427.71 -2039.51 1985.12 0.00 0.00 0.00 3864.37 0.009 0.00 0.00 -1932.18 0.00 0.00 0.00 -1396.92 -2039.51 5526.59 -1365.66 -265.30 673.85 0.00 0.00 -1932.18

10 0.00 0.00 0.00 3864.37 0.00 0.00 2039.51 1985.12 -1365.66 21709.82 -673.85 1141.05 0.00 0.00 0.0011 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -265.30 -673.85 6455.26 -673.85 0.00 0.00 0.0012 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 673.85 1141.05 -673.85 27041.98 0.00 0.00 0.0013 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 5261.29 2039.51 -1396.9214 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 19427.71 -2039.5115 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 -1396.92 -2039.51 5526.5916 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 2039.51 1985.12 -1365.6617 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -265.3018 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 673.8519 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00

[K] =20 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.0021 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.1822 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0023 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0024 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0025 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0026 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0027 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0028 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0029 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0030 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0031 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0032 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0033 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0034 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0035 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0036 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0037 0.00 -2903.63 0.00 -2903.63 0.00 -4651.05 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.0038 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.0039 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.0040 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.0041 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0042 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

[K] = Kvv kvu

Kuv kuu

1 2 3 4 5 6 7 8 9 10 11 12 13 14 151 4549.43 2039.51 -1396.92 2039.51 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.002 2039.51 16580.28 -2039.51 1985.12 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.003 -1396.92 -2039.51 4814.73 -1365.66 -265.30 673.85 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.004 2039.51 1985.12 -1365.66 18862.39 -673.85 1141.05 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.005 0.00 0.00 -265.30 -673.85 5315.01 -673.85 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.006 0.00 0.00 673.85 1141.05 -673.85 22480.95 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.007 -1932.18 0.00 0.00 0.00 0.00 0.00 5261.29 2039.51 -1396.92 2039.51 0.00 0.00 -1932.18 0.00 0.008 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 19427.71 -2039.51 1985.12 0.00 0.00 0.00 3864.37 0.009 0.00 0.00 -1932.18 0.00 0.00 0.00 -1396.92 -2039.51 5526.59 -1365.66 -265.30 673.85 0.00 0.00 -1932.18

10 0.00 0.00 0.00 3864.37 0.00 0.00 2039.51 1985.12 -1365.66 21709.82 -673.85 1141.05 0.00 0.00 0.0011 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -265.30 -673.85 6455.26 -673.85 0.00 0.00 0.0012 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 673.85 1141.05 -673.85 27041.98 0.00 0.00 0.0013 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 5261.29 2039.51 -1396.9214 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 19427.71 -2039.5115 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 -1396.92 -2039.51 5526.5916 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 2039.51 1985.12 -1365.66

[Kvv] =17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -265.3018 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 673.8519 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.0020 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.0021 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.1822 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0023 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0024 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0025 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0026 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0027 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0028 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0029 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0030 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0031 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0032 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0033 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0034 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0035 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0036 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

37 0.00 -2903.63 0.00 -2903.63 0.00 -4651.05 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.0038 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00

[Kuv] = 39 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.0040 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.0041 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0042 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

4.69E-04 -2.53E-05 2.31E-04 -2.70E-05 7.45E-05 -2.62E-06 3.65E-04 -3.46E-06 2.71E-04 -7.38E-06 1.15E-04 -2.53E-06 3.17E-04 -3.08E-06 2.73E-04-2.53E-05 6.99E-05 2.24E-05 -3.46E-06 1.78E-06 -4.33E-07 -5.57E-06 -1.40E-05 2.39E-06 2.71E-06 1.99E-06 -3.28E-08 -3.58E-06 3.44E-06 1.05E-062.31E-04 2.24E-05 4.22E-04 7.90E-06 1.04E-04 -9.48E-06 2.71E-04 8.52E-07 3.21E-04 -1.83E-06 1.42E-04 -1.74E-06 2.72E-04 1.02E-06 2.81E-04-2.70E-05 -3.46E-06 7.90E-06 5.96E-05 1.19E-05 -3.32E-06 -1.00E-05 2.66E-06 -2.07E-06 -1.03E-05 7.55E-06 1.50E-06 -6.92E-06 -3.98E-07 -2.58E-067.45E-05 1.78E-06 1.04E-04 1.19E-05 4.00E-04 7.55E-06 1.15E-04 1.63E-06 1.42E-04 5.75E-06 3.51E-04 2.66E-06 1.44E-04 1.28E-06 1.66E-04-2.62E-06 -4.33E-07 -9.48E-06 -3.32E-06 7.55E-06 4.84E-05 -3.29E-06 -5.28E-08 -3.08E-06 1.50E-06 3.98E-06 -1.16E-05 -2.58E-06 3.83E-08 -2.57E-063.65E-04 -5.57E-06 2.71E-04 -1.00E-05 1.15E-04 -3.29E-06 6.47E-04 -2.07E-05 4.06E-04 -2.41E-05 1.77E-04 -3.15E-06 5.38E-04 -4.78E-06 4.38E-04-3.46E-06 -1.40E-05 8.52E-07 2.66E-06 1.63E-06 -5.28E-08 -2.07E-05 6.11E-05 1.73E-05 -3.36E-06 2.15E-06 -2.15E-07 -4.63E-06 -1.24E-05 1.17E-062.71E-04 2.39E-06 3.21E-04 -2.07E-06 1.42E-04 -3.08E-06 4.06E-04 1.73E-05 5.83E-04 4.98E-06 2.17E-04 -7.96E-06 4.38E-04 1.27E-06 4.80E-04-7.38E-06 2.71E-06 -1.83E-06 -1.03E-05 5.75E-06 1.50E-06 -2.41E-05 -3.36E-06 4.98E-06 5.29E-05 1.20E-05 -2.71E-06 -9.59E-06 2.37E-06 -2.95E-061.15E-04 1.99E-06 1.42E-04 7.55E-06 3.51E-04 3.98E-06 1.77E-04 2.15E-06 2.17E-04 1.20E-05 5.89E-04 6.93E-06 2.26E-04 2.19E-06 2.62E-04-2.53E-06 -3.28E-08 -1.74E-06 1.50E-06 2.66E-06 -1.16E-05 -3.15E-06 -2.15E-07 -7.96E-06 -2.71E-06 6.93E-06 4.25E-05 -3.37E-06 -3.77E-08 -2.75E-063.17E-04 -3.58E-06 2.72E-04 -6.92E-06 1.44E-04 -2.58E-06 5.38E-04 -4.63E-06 4.38E-04 -9.59E-06 2.26E-04 -3.37E-06 8.17E-04 -2.14E-05 5.69E-04-3.08E-06 3.44E-06 1.02E-06 -3.98E-07 1.28E-06 3.83E-08 -4.78E-06 -1.24E-05 1.27E-06 2.37E-06 2.19E-06 -3.77E-08 -2.14E-05 6.08E-05 1.71E-052.73E-04 1.05E-06 2.81E-04 -2.58E-06 1.66E-04 -2.57E-06 4.38E-04 1.17E-06 4.80E-04 -2.95E-06 2.62E-04 -2.75E-06 5.69E-04 1.71E-05 7.40E-04-5.78E-06 -4.00E-07 -2.02E-06 2.59E-06 4.87E-06 -2.89E-07 -9.84E-06 2.37E-06 -3.03E-06 -9.17E-06 8.03E-06 1.32E-06 -2.60E-05 -3.22E-06 3.79E-061.43E-04 1.58E-06 1.66E-04 5.93E-06 3.18E-04 3.21E-06 2.25E-04 2.16E-06 2.62E-04 7.83E-06 5.31E-04 3.82E-06 2.92E-04 2.67E-06 3.40E-04-2.00E-06 3.41E-08 -2.09E-06 -2.98E-07 2.55E-06 2.97E-06 -3.48E-06 -3.86E-08 -2.90E-06 1.32E-06 3.98E-06 -1.02E-05 -4.03E-06 -2.11E-07 -8.68E-062.92E-04 -1.74E-06 2.67E-04 -4.64E-06 1.63E-04 -2.14E-06 4.87E-04 -3.27E-06 4.36E-04 -7.03E-06 2.59E-04 -2.68E-06 7.08E-04 -5.18E-06 6.00E-04-1.39E-06 -6.06E-07 -3.34E-07 3.01E-07 1.07E-06 1.29E-08 -3.35E-06 3.00E-06 4.57E-07 -3.58E-07 1.81E-06 5.12E-08 -5.27E-06 -1.23E-05 9.15E-072.67E-04 -3.31E-07 2.63E-04 -2.62E-06 1.81E-04 -1.65E-06 4.36E-04 4.81E-07 4.38E-04 -3.11E-06 2.89E-04 -2.45E-06 6.00E-04 9.16E-07 6.37E-04-3.83E-06 3.05E-07 -2.16E-06 -1.39E-07 3.74E-06 2.45E-07 -7.27E-06 -3.58E-07 -3.28E-06 2.36E-06 6.59E-06 -2.22E-07 -1.15E-05 2.39E-06 -4.22E-061.63E-04 1.29E-06 1.81E-04 4.53E-06 2.97E-04 2.36E-06 2.59E-04 1.74E-06 2.89E-04 6.33E-06 4.93E-04 3.20E-06 3.41E-04 2.66E-06 3.85E-04-1.74E-06 1.44E-08 -1.29E-06 2.44E-07 1.89E-06 -6.40E-07 -2.90E-06 5.30E-08 -2.62E-06 -2.16E-07 3.45E-06 2.63E-06 -4.43E-06 -2.23E-08 -3.57E-062.78E-04 -1.23E-06 2.61E-04 -3.64E-06 1.75E-04 -1.78E-06 4.61E-04 -1.82E-06 4.29E-04 -5.18E-06 2.78E-04 -2.33E-06 6.60E-04 -3.81E-06 6.00E-04-9.16E-07 1.97E-07 -3.58E-07 2.20E-08 7.95E-07 2.93E-08 -1.67E-06 -5.62E-07 -5.52E-07 2.78E-07 1.39E-06 1.51E-08 -3.52E-06 3.07E-06 1.94E-072.61E-04 -4.93E-07 2.54E-04 -2.33E-06 1.90E-04 -1.33E-06 4.29E-04 -5.72E-07 4.20E-04 -3.10E-06 3.05E-04 -1.74E-06 5.99E-04 1.53E-07 5.97E-04-2.60E-06 2.05E-08 -1.64E-06 2.75E-07 2.65E-06 5.15E-08 -4.62E-06 2.77E-07 -2.77E-06 -1.16E-07 4.61E-06 2.29E-07 -7.82E-06 -3.76E-07 -3.70E-061.75E-04 1.07E-06 1.90E-04 3.73E-06 2.84E-04 1.94E-06 2.79E-04 1.50E-06 3.04E-04 5.17E-06 4.71E-04 2.54E-06 3.72E-04 2.28E-06 4.11E-04-1.02E-06 2.34E-08 -7.76E-07 3.46E-08 1.12E-06 2.20E-07 -1.78E-06 9.80E-09 -1.32E-06 2.13E-07 1.94E-06 -6.00E-07 -2.63E-06 5.68E-08 -2.36E-062.74E-04 -1.02E-06 2.59E-04 -3.29E-06 1.79E-04 -1.66E-06 4.53E-04 -1.58E-06 4.27E-04 -4.66E-06 2.86E-04 -2.16E-06 6.44E-04 -2.46E-06 5.98E-04-1.63E-06 -5.53E-09 -9.00E-07 1.42E-07 1.58E-06 4.85E-08 -3.05E-06 3.38E-07 -1.36E-06 1.15E-07 2.75E-06 6.80E-08 -5.22E-06 -8.58E-07 -1.56E-062.58E-04 -5.52E-07 2.50E-04 -2.12E-06 1.94E-04 -1.14E-06 4.24E-04 -6.05E-07 4.12E-04 -2.87E-06 3.13E-04 -1.58E-06 5.94E-04 -9.94E-07 5.81E-04-4.92E-06 1.34E-07 -3.32E-06 3.22E-07 5.14E-06 1.91E-07 -8.70E-06 1.07E-07 -5.71E-06 6.25E-07 9.00E-06 1.66E-07 -1.39E-05 5.85E-07 -8.47E-061.80E-04 9.83E-07 1.93E-04 3.37E-06 2.79E-04 1.74E-06 2.88E-04 1.37E-06 3.11E-04 4.70E-06 4.61E-04 2.33E-06 3.85E-04 2.16E-06 4.21E-04-2.79E-06 5.02E-08 -2.03E-06 2.13E-07 3.01E-06 2.43E-08 -4.83E-06 7.81E-08 -3.64E-06 2.10E-07 5.29E-06 4.20E-07 -7.42E-06 7.53E-08 -5.71E-06

0.2359 -0.1359 -0.0257 -0.1221 -0.1312 -0.1310 0.3017 -0.2438 -0.0326 -0.2033 -0.1680 -0.2646 0.1372 0.0396 0.04620.3310 -0.3323 -0.0521 -0.2539 -0.1742 -0.3778 0.1984 0.1039 0.0533 0.0479 -0.1571 0.1558 0.3308 -0.2913 -0.00660.1106 0.0562 0.0402 0.0228 -0.0942 0.0868 0.3149 -0.2902 -0.0121 -0.2265 -0.1890 -0.3340 0.2100 0.0966 0.07340.0831 -0.0162 0.0366 -0.0100 -0.0748 -0.0238 0.1417 0.0499 0.0572 0.0202 -0.1242 0.0763 0.3353 -0.2898 0.00130.0919 0.0003 0.0581 -0.0066 -0.0937 0.0024 0.1679 -0.0159 0.0962 -0.0132 -0.1649 -0.0239 0.2650 0.0488 0.1362-0.0284 -0.0002 -0.0204 0.0022 0.0305 -0.0007 -0.0500 0.0041 -0.0360 0.0028 0.0537 0.0078 -0.0746 -0.0142 -0.0574

5565.56 1520.80 4446.98 -741.95 332.53 -95.901520.80 10849.83 -2852.49 5385.65 -871.74 248.434446.98 -2852.49 10169.55 -2742.36 5676.73 -1530.53-741.95 5385.65 -2742.36 10288.99 -3282.63 6683.16332.53 -871.74 5676.73 -3282.63 14520.94 -11568.73-95.90 248.43 -1530.53 6683.16 -11568.73 16562.95


18151.32 -14498.65 0.00 0.00 0.00 0.00 5565.56 1520.80 4446.98 -741.95 332.53 -95.90-14498.65 28997.30 -14498.65 0.00 0.00 0.00 1520.80 10849.83 -2852.49 5385.65 -871.74 248.43

= 0.00 -14498.65 28997.30 -14498.65 0.00 0.00 - 4446.98 -2852.49 10169.55 -2742.36 5676.73 -1530.530.00 0.00 -14498.65 28997.30 -14498.65 0.00 -741.95 5385.65 -2742.36 10288.99 -3282.63 6683.160.00 0.00 0.00 -14498.65 28997.30 -14498.65 332.53 -871.74 5676.73 -3282.63 14520.94 -11568.730.00 0.00 0.00 0.00 -14498.65 14498.65 -95.90 248.43 -1530.53 6683.16 -11568.73 16562.95

[K-1vv] =

[Kuv]*[K-1vv] =


12585.76 -16019.45 -4446.98 741.95 -332.53 95.90-16019.45 18147.46 -11646.16 -5385.65 871.74 -248.43

[ KL 6] = -4446.98 -11646.16 18827.75 -11756.29 -5676.73 1530.53741.95 -5385.65 -11756.29 18708.31 -11216.02 -6683.16-332.53 871.74 -5676.73 -11216.02 14476.36 -2929.9195.90 -248.43 1530.53 -6683.16 -2929.91 -2064.30

16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 330.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

2039.51 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.001985.12 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00-1365.66 -265.30 673.85 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0021709.82 -673.85 1141.05 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00-673.85 6455.26 -673.85 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.001141.05 -673.85 27041.98 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 5261.29 2039.51 -1396.92 2039.51 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 2039.51 19427.71 -2039.51 1985.12 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 -1396.92 -2039.51 5526.59 -1365.66 -265.30 673.85 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00

3864.37 0.00 0.00 2039.51 1985.12 -1365.66 21709.82 -673.85 1141.05 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.000.00 -3094.98 0.00 0.00 0.00 -265.30 -673.85 6455.26 -673.85 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.000.00 0.00 6189.97 0.00 0.00 673.85 1141.05 -673.85 27041.98 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.000.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 5261.29 2039.51 -1396.92 2039.51 0.00 0.00 -1932.18 0.00 0.000.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 19427.71 -2039.51 1985.12 0.00 0.00 0.00 3864.37 0.000.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 -1396.92 -2039.51 5526.59 -1365.66 -265.30 673.85 0.00 0.00 -1932.180.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 2039.51 1985.12 -1365.66 21709.82 -673.85 1141.05 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -265.30 -673.85 6455.26 -673.85 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 673.85 1141.05 -673.85 27041.98 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 3329.11 2039.51 -1396.920.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 11698.97 -2039.510.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 -1396.92 -2039.51 3594.400.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 2039.51 1985.12 -1365.660.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -265.300.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 673.850.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

-4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

-4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.000.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 4830.46 0.0016 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33

16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 330.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

2039.51 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.001985.12 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00-1365.66 -265.30 673.85 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0021709.82 -673.85 1141.05 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00-673.85 6455.26 -673.85 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.001141.05 -673.85 27041.98 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 5261.29 2039.51 -1396.92 2039.51 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 2039.51 19427.71 -2039.51 1985.12 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 -1396.92 -2039.51 5526.59 -1365.66 -265.30 673.85 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 0.00

3864.37 0.00 0.00 2039.51 1985.12 -1365.66 21709.82 -673.85 1141.05 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 0.000.00 -3094.98 0.00 0.00 0.00 -265.30 -673.85 6455.26 -673.85 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 0.000.00 0.00 6189.97 0.00 0.00 673.85 1141.05 -673.85 27041.98 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 0.000.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 5261.29 2039.51 -1396.92 2039.51 0.00 0.00 -1932.18 0.00 0.000.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 19427.71 -2039.51 1985.12 0.00 0.00 0.00 3864.37 0.000.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 -1396.92 -2039.51 5526.59 -1365.66 -265.30 673.85 0.00 0.00 -1932.180.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 2039.51 1985.12 -1365.66 21709.82 -673.85 1141.05 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -265.30 -673.85 6455.26 -673.85 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 673.85 1141.05 -673.85 27041.98 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 0.00 0.00 3329.11 2039.51 -1396.920.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 0.00 0.00 2039.51 11698.97 -2039.510.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1932.18 0.00 0.00 0.00 -1396.92 -2039.51 3594.400.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3864.37 0.00 0.00 2039.51 1985.12 -1365.660.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3094.98 0.00 0.00 0.00 -265.300.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6189.97 0.00 0.00 673.85

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00-4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00-4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.00

0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 -7737.46 0.00 4830.46 0.0016 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33

-5.78E-06 1.43E-04 -2.00E-06 2.92E-04 -1.39E-06 2.67E-04 -3.83E-06 1.63E-04 -1.74E-06 2.78E-04 -9.16E-07 2.61E-04 -2.60E-06 1.75E-04 -1.02E-06 2.74E-04 -1.63E-06 2.58E-04-4.00E-07 1.58E-06 3.41E-08 -1.74E-06 -6.06E-07 -3.31E-07 3.05E-07 1.29E-06 1.44E-08 -1.23E-06 1.97E-07 -4.93E-07 2.05E-08 1.07E-06 2.34E-08 -1.02E-06 -5.53E-09 -5.52E-07-2.02E-06 1.66E-04 -2.09E-06 2.67E-04 -3.34E-07 2.63E-04 -2.16E-06 1.81E-04 -1.29E-06 2.61E-04 -3.58E-07 2.54E-04 -1.64E-06 1.90E-04 -7.76E-07 2.59E-04 -9.00E-07 2.50E-042.59E-06 5.93E-06 -2.98E-07 -4.64E-06 3.01E-07 -2.62E-06 -1.39E-07 4.53E-06 2.44E-07 -3.64E-06 2.20E-08 -2.33E-06 2.75E-07 3.73E-06 3.46E-08 -3.29E-06 1.42E-07 -2.12E-064.87E-06 3.18E-04 2.55E-06 1.63E-04 1.07E-06 1.81E-04 3.74E-06 2.97E-04 1.89E-06 1.75E-04 7.95E-07 1.90E-04 2.65E-06 2.84E-04 1.12E-06 1.79E-04 1.58E-06 1.94E-04-2.89E-07 3.21E-06 2.97E-06 -2.14E-06 1.29E-08 -1.65E-06 2.45E-07 2.36E-06 -6.40E-07 -1.78E-06 2.93E-08 -1.33E-06 5.15E-08 1.94E-06 2.20E-07 -1.66E-06 4.85E-08 -1.14E-06-9.84E-06 2.25E-04 -3.48E-06 4.87E-04 -3.35E-06 4.36E-04 -7.27E-06 2.59E-04 -2.90E-06 4.61E-04 -1.67E-06 4.29E-04 -4.62E-06 2.79E-04 -1.78E-06 4.53E-04 -3.05E-06 4.24E-042.37E-06 2.16E-06 -3.86E-08 -3.27E-06 3.00E-06 4.81E-07 -3.58E-07 1.74E-06 5.30E-08 -1.82E-06 -5.62E-07 -5.72E-07 2.77E-07 1.50E-06 9.80E-09 -1.58E-06 3.38E-07 -6.05E-07-3.03E-06 2.62E-04 -2.90E-06 4.36E-04 4.57E-07 4.38E-04 -3.28E-06 2.89E-04 -2.62E-06 4.29E-04 -5.52E-07 4.20E-04 -2.77E-06 3.04E-04 -1.32E-06 4.27E-04 -1.36E-06 4.12E-04-9.17E-06 7.83E-06 1.32E-06 -7.03E-06 -3.58E-07 -3.11E-06 2.36E-06 6.33E-06 -2.16E-07 -5.18E-06 2.78E-07 -3.10E-06 -1.16E-07 5.17E-06 2.13E-07 -4.66E-06 1.15E-07 -2.87E-068.03E-06 5.31E-04 3.98E-06 2.59E-04 1.81E-06 2.89E-04 6.59E-06 4.93E-04 3.45E-06 2.78E-04 1.39E-06 3.05E-04 4.61E-06 4.71E-04 1.94E-06 2.86E-04 2.75E-06 3.13E-041.32E-06 3.82E-06 -1.02E-05 -2.68E-06 5.12E-08 -2.45E-06 -2.22E-07 3.20E-06 2.63E-06 -2.33E-06 1.51E-08 -1.74E-06 2.29E-07 2.54E-06 -6.00E-07 -2.16E-06 6.80E-08 -1.58E-06-2.60E-05 2.92E-04 -4.03E-06 7.08E-04 -5.27E-06 6.00E-04 -1.15E-05 3.41E-04 -4.43E-06 6.60E-04 -3.52E-06 5.99E-04 -7.82E-06 3.72E-04 -2.63E-06 6.44E-04 -5.22E-06 5.94E-04-3.22E-06 2.67E-06 -2.11E-07 -5.18E-06 -1.23E-05 9.16E-07 2.39E-06 2.66E-06 -2.23E-08 -3.81E-06 3.07E-06 1.53E-07 -3.76E-07 2.28E-06 5.68E-08 -2.46E-06 -8.58E-07 -9.94E-073.79E-06 3.40E-04 -8.68E-06 6.00E-04 9.15E-07 6.37E-04 -4.22E-06 3.85E-04 -3.57E-06 6.00E-04 1.94E-07 5.97E-04 -3.70E-06 4.11E-04 -2.36E-06 5.98E-04 -1.56E-06 5.81E-045.28E-05 1.39E-05 -2.60E-06 -1.13E-05 2.40E-06 -4.08E-06 -9.03E-06 9.60E-06 1.37E-06 -8.82E-06 -3.74E-07 -4.29E-06 2.43E-06 8.18E-06 -2.50E-07 -7.45E-06 6.32E-07 -4.34E-061.39E-05 7.63E-04 7.94E-06 3.41E-04 2.72E-06 3.85E-04 9.81E-06 7.04E-04 5.00E-06 3.71E-04 2.08E-06 4.11E-04 7.19E-06 6.69E-04 3.11E-06 3.82E-04 4.24E-06 4.24E-04-2.60E-06 7.94E-06 4.22E-05 -4.18E-06 -2.37E-08 -3.36E-06 1.36E-06 4.71E-06 -1.01E-05 -3.51E-06 6.44E-08 -3.01E-06 -2.26E-07 4.07E-06 2.72E-06 -3.37E-06 8.07E-08 -2.23E-06-1.13E-05 3.41E-04 -4.18E-06 9.91E-04 -2.21E-05 7.33E-04 -2.80E-05 4.05E-04 -5.16E-06 8.89E-04 -5.21E-06 7.67E-04 -1.18E-05 4.47E-04 -3.87E-06 8.58E-04 -1.03E-05 7.68E-042.40E-06 2.72E-06 -2.37E-08 -2.21E-05 6.09E-05 1.69E-05 -3.19E-06 3.27E-06 -1.93E-07 -6.28E-06 -1.27E-05 8.45E-07 2.54E-06 3.39E-06 -2.79E-08 -6.36E-06 5.58E-06 1.25E-06-4.08E-06 3.85E-04 -3.36E-06 7.33E-04 1.69E-05 8.99E-04 2.51E-06 4.62E-04 -9.56E-06 7.67E-04 4.12E-07 8.00E-04 -4.55E-06 5.03E-04 -2.90E-06 7.73E-04 5.62E-07 7.67E-04-9.03E-06 9.81E-06 1.36E-06 -2.80E-05 -3.19E-06 2.51E-06 5.30E-05 1.59E-05 -2.55E-06 -1.39E-05 2.52E-06 -5.55E-06 -9.21E-06 1.22E-05 1.45E-06 -1.30E-05 -3.05E-07 -5.61E-069.60E-06 7.04E-04 4.71E-06 4.05E-04 3.27E-06 4.62E-04 1.59E-05 9.40E-04 9.19E-06 4.47E-04 3.00E-06 5.03E-04 1.02E-05 8.88E-04 4.22E-06 4.62E-04 6.06E-06 5.23E-041.37E-06 5.00E-06 -1.01E-05 -5.16E-06 -1.93E-07 -9.56E-06 -2.55E-06 9.19E-06 4.23E-05 -5.60E-06 -2.23E-08 -4.54E-06 1.50E-06 6.33E-06 -1.06E-05 -5.25E-06 9.45E-08 -5.00E-06-8.82E-06 3.71E-04 -3.51E-06 8.89E-04 -6.28E-06 7.67E-04 -1.39E-05 4.47E-04 -5.60E-06 1.18E-03 -2.18E-05 9.05E-04 -2.81E-05 4.99E-04 -4.31E-06 1.11E-03 -1.76E-05 9.37E-04-3.74E-07 2.08E-06 6.44E-08 -5.21E-06 -1.27E-05 4.12E-07 2.52E-06 3.00E-06 -2.23E-08 -2.18E-05 6.26E-05 1.60E-05 -3.80E-06 3.60E-06 -1.50E-07 -3.53E-06 -2.13E-05 -2.87E-06-4.29E-06 4.11E-04 -3.01E-06 7.67E-04 8.45E-07 8.00E-04 -5.55E-06 5.03E-04 -4.54E-06 9.05E-04 1.60E-05 1.07E-03 2.19E-06 5.72E-04 -8.41E-06 9.44E-04 4.12E-06 9.86E-042.43E-06 7.19E-06 -2.26E-07 -1.18E-05 2.54E-06 -4.55E-06 -9.21E-06 1.02E-05 1.50E-06 -2.81E-05 -3.80E-06 2.19E-06 5.40E-05 1.62E-05 -3.00E-06 -1.34E-05 4.87E-06 -6.26E-068.18E-06 6.69E-04 4.07E-06 4.47E-04 3.39E-06 5.03E-04 1.22E-05 8.88E-04 6.33E-06 4.99E-04 3.60E-06 5.72E-04 1.62E-05 1.14E-03 7.94E-06 5.20E-04 8.40E-06 6.03E-04-2.50E-07 3.11E-06 2.72E-06 -3.87E-06 -2.79E-08 -2.90E-06 1.45E-06 4.22E-06 -1.06E-05 -4.31E-06 -1.50E-07 -8.41E-06 -3.00E-06 7.94E-06 4.42E-05 -5.12E-06 1.61E-07 -1.43E-06-7.45E-06 3.82E-04 -3.37E-06 8.58E-04 -6.36E-06 7.73E-04 -1.30E-05 4.62E-04 -5.25E-06 1.11E-03 -3.53E-06 9.44E-04 -1.34E-05 5.20E-04 -5.12E-06 1.47E-03 -5.80E-05 1.06E-036.32E-07 4.24E-06 8.07E-08 -1.03E-05 5.58E-06 5.62E-07 -3.05E-07 6.06E-06 9.45E-08 -1.76E-05 -2.13E-05 4.12E-06 4.87E-06 8.40E-06 1.61E-07 -5.80E-05 1.11E-04 4.19E-05-4.34E-06 4.24E-04 -2.23E-06 7.68E-04 1.25E-06 7.67E-04 -5.61E-06 5.23E-04 -5.00E-06 9.37E-04 -2.87E-06 9.86E-04 -6.26E-06 6.03E-04 -1.43E-06 1.06E-03 4.19E-05 1.30E-032.06E-07 1.40E-05 5.69E-07 -2.21E-05 -3.00E-07 -1.10E-05 4.52E-06 2.07E-05 -2.51E-07 -3.40E-05 4.50E-06 -1.27E-05 -1.39E-05 2.91E-05 3.13E-06 -7.13E-05 -3.91E-06 1.52E-067.36E-06 6.54E-04 3.50E-06 4.66E-04 3.19E-06 5.19E-04 1.16E-05 8.66E-04 6.40E-06 5.24E-04 4.00E-06 5.99E-04 1.23E-05 1.10E-03 4.09E-06 5.45E-04 1.00E-05 6.53E-046.27E-07 8.19E-06 -9.28E-07 -1.05E-05 1.24E-07 -9.29E-06 -1.72E-07 1.24E-05 5.03E-06 -1.45E-05 2.85E-08 -1.32E-05 3.20E-06 1.73E-05 -1.87E-05 -1.61E-05 -1.23E-06 -2.92E-05

0.0176 -0.1145 0.0598 0.0989 -0.0123 0.0479 -0.0096 -0.0916 -0.0173 0.0743 0.0005 0.0456 -0.0036 -0.0749 0.0024 0.0671 -0.0033 0.0420-0.2280 -0.2024 -0.3343 0.1593 0.0494 0.0683 0.0188 -0.1421 0.0755 0.1255 -0.0148 0.0672 -0.0100 -0.1203 -0.0221 0.1076 -0.0006 0.06470.0440 -0.1770 0.1447 0.3524 -0.2903 0.0120 -0.2289 -0.2275 -0.3336 0.1929 0.0508 0.0891 0.0181 -0.1761 0.0789 0.1812 -0.0289 0.0888-0.2276 -0.2101 -0.3329 0.2242 0.0975 0.0836 0.0426 -0.1922 0.1470 0.3625 -0.2964 0.0205 -0.2273 -0.2391 -0.3470 0.1953 0.0787 0.09820.0125 -0.2505 0.0759 0.5198 -0.3036 0.1024 -0.2400 -0.3884 -0.3523 0.5026 0.1305 0.2014 0.0397 -0.4395 0.2038 0.8829 -0.5321 0.07590.0009 0.0824 -0.0243 -0.1256 0.0759 -0.0797 0.0401 0.1281 0.1133 -0.0873 -0.3639 -0.1663 -0.2381 0.1583 -0.4553 -0.6273 0.5841 0.0390

34 35 36 37 38 39 40 41 420.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 10.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 20.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 40.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 50.00 0.00 0.00 -4651.05 -7737.46 0.00 0.00 0.00 0.00 60.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 70.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 80.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 90.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 100.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 110.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.00 120.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 130.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 140.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 150.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 160.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 170.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 180.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 190.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 200.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 210.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 220.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 230.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 240.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 250.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 260.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 27

3864.37 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 280.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 290.00 0.00 6189.97 0.00 0.00 0.00 -7737.46 0.00 -7737.46 30

2039.51 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 311985.12 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 4830.46 32-1365.66 -265.30 673.85 0.00 0.00 0.00 0.00 0.00 0.00 3313981.08 -673.85 1141.05 0.00 0.00 0.00 0.00 -4830.46 4830.46 34-673.85 3360.28 -673.85 0.00 0.00 0.00 0.00 0.00 0.00 351141.05 -673.85 14662.04 0.00 0.00 0.00 0.00 -7737.46 7737.46 36

0.00 0.00 0.00 18151.32 -14498.65 0.00 0.00 0.00 0.00 370.00 0.00 0.00 -14498.65 28997.30 -14498.65 0.00 0.00 0.00 380.00 0.00 0.00 0.00 -14498.65 28997.30 -14498.65 0.00 0.00 390.00 0.00 0.00 0.00 0.00 -14498.65 28997.30 -14498.65 0.00 40

-4830.46 0.00 -7737.46 0.00 0.00 0.00 -14498.65 28997.30 -14498.65 414830.46 0.00 7737.46 0.00 0.00 0.00 0.00 -14498.65 14498.65 42

34 35 36 37 38 39 40 41 42

34 35 36 37 38 39 40 41 420.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 10.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 20.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30.00 0.00 0.00 -2903.63 -4830.46 0.00 0.00 0.00 0.00 40.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 50.00 0.00 0.00 -4651.05 -7737.46 0.00 0.00 0.00 0.00 60.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 70.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 80.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 90.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 0.00 100.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 110.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 0.00 120.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 130.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 140.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 150.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 0.00 160.00 0.00 0.00

[Kvu] =0.00 0.00 0.00 0.00 0.00 0.00 17

0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 0.00 180.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 190.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 200.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 210.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 0.00 220.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 230.00 0.00 0.00 0.00 0.00 -7737.46 0.00 -7737.46 0.00 240.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 250.00 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 260.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 27

3864.37 0.00 0.00 0.00 0.00 0.00 -4830.46 0.00 -4830.46 280.00 -3094.98 0.00 0.00 0.00 0.00 0.00 0.00 0.00 290.00 0.00 6189.97 0.00 0.00 0.00 -7737.46 0.00 -7737.46 30

2039.51 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 311985.12 0.00 0.00 0.00 0.00 0.00 0.00 -4830.46 4830.46 32-1365.66 -265.30 673.85 0.00 0.00 0.00 0.00 0.00 0.00 3313981.08 -673.85 1141.05 0.00 0.00 0.00 0.00 -4830.46 4830.46 34-673.85 3360.28 -673.85 0.00 0.00 0.00 0.00 0.00 0.00 351141.05 -673.85 14662.04 0.00 0.00 0.00 0.00 -7737.46 7737.46 36

0.00 0.00 0.00 18151.32 -14498.65 0.00 0.00 0.00 0.00 370.00 0.00 0.00 -14498.65 28997.30 -14498.65 0.00 0.00 0.00 380.00 0.00 0.00 [Kuu] = 0.00 -14498.65 28997.30 -14498.65 0.00 0.00 390.00 0.00 0.00 0.00 0.00 -14498.65 28997.30 -14498.65 0.00 40

-4830.46 0.00 -7737.46 0.00 0.00 0.00 -14498.65 28997.30 -14498.65 414830.46 0.00 7737.46 0.00 0.00 0.00 0.00 -14498.65 14498.65 42

34 35 36 37 38 39 40 41 42

-4.92E-06 1.80E-04 -2.79E-061.34E-07 9.83E-07 5.02E-08-3.32E-06 1.93E-04 -2.03E-063.22E-07 3.37E-06 2.13E-075.14E-06 2.79E-04 3.01E-061.91E-07 1.74E-06 2.43E-08-8.70E-06 2.88E-04 -4.83E-061.07E-07 1.37E-06 7.81E-08-5.71E-06 3.11E-04 -3.64E-066.25E-07 4.70E-06 2.10E-079.00E-06 4.61E-04 5.29E-061.66E-07 2.33E-06 4.20E-07-1.39E-05 3.85E-04 -7.42E-065.85E-07 2.16E-06 7.53E-08-8.47E-06 4.21E-04 -5.71E-062.06E-07 7.36E-06 6.27E-071.40E-05 6.54E-04 8.19E-065.69E-07 3.50E-06 -9.28E-07-2.21E-05 4.66E-04 -1.05E-05-3.00E-07 3.19E-06 1.24E-07-1.10E-05 5.19E-04 -9.29E-064.52E-06 1.16E-05 -1.72E-072.07E-05 8.66E-04 1.24E-05-2.51E-07 6.40E-06 5.03E-06-3.40E-05 5.24E-04 -1.45E-054.50E-06 4.00E-06 2.85E-08-1.27E-05 5.99E-04 -1.32E-05-1.39E-05 1.23E-05 3.20E-062.91E-05 1.10E-03 1.73E-053.13E-06 4.09E-06 -1.87E-05-7.13E-05 5.45E-04 -1.61E-05-3.91E-06 1.00E-05 -1.23E-061.52E-06 6.53E-04 -2.92E-058.91E-05 4.36E-05 -6.33E-064.36E-05 1.38E-03 2.83E-05-6.33E-06 2.83E-05 7.92E-05

-0.0070 -0.0681 -0.0055-0.0119 -0.1076 0.0023-0.0232 -0.1685 -0.04330.0131 -0.1833 0.1325-0.3810 -0.5986 -0.61510.3838 0.3673 0.7052

RESUMEN DE RIGIDECES

24286.95 -27745.04 -5881.00 596.19 -472.49 104.66-27745.04 36818.80 -22651.35 -6797.41 538.91 -105.16

[ KL A] = -5881.00 -22651.35 37534.97 -22800.61 -7187.77 1477.24596.19 -6797.41 -22800.61 37429.17 -22667.76 -7488.79-472.49 538.91 -7187.77 -22667.76 32871.71 -12541.59104.66 -105.16 1477.24 -7488.79 -12541.59 6574.99

29269.81 -34967.75 -7859.14 660.75 -645.36 136.85-34967.75 44846.19 -28392.31 -8996.09 547.91 -108.85

[ KL B] = -7859.14 -28392.31 45759.51 -28586.65 -9519.60 1821.57660.75 -8996.09 -28586.65 45618.40 -28543.12 -9643.70-645.36 547.91 -9519.60 -28543.12 39749.33 -15163.39136.85 -108.85 1821.57 -9643.70 -15163.39 7378.71

6890.38 -9207.96 -2387.71 288.54 -67.01 11.01-9207.96 10367.31 -7002.07 -2701.59 355.05 -88.07

[ KL C] = -2387.71 -7002.07 10862.46 -7045.86 -2756.47 483.73288.54 -2701.59 -7045.86 10839.66 -6791.84 -3238.56-67.01 355.05 -2756.47 -6791.84 8347.83 -2065.9011.01 -88.07 483.73 -3238.56 -2065.90 -616.23

15816.66 -35999.70 -8976.46 -2597.24 -1208.45 -780.73-35999.70 10896.29 -20767.86 -17098.62 -682.09 -1891.52

[ KL D] = -8976.46 -20767.86 27560.39 -22323.47 -9280.40 -510.44-2597.24 -17098.62 -22323.47 24282.18 -24499.86 -10274.35-1208.45 -682.09 -9280.40 -24499.86 34805.24 -19680.93-780.73 -1891.52 -510.44 -10274.35 -19680.93 10253.96

6841.79 -9071.18 -2503.53 378.88 -110.83 21.66-9071.18 9997.92 -6643.27 -2944.00 479.66 -138.07

[ KL 1] = -2503.53 -6643.27 10473.56 -6692.59 -3039.09 697.46378.88 -2944.00 -6692.59 10435.81 -6374.58 -3634.58-110.83 479.66 -3039.09 -6374.58 7839.72 -1495.5321.66 -138.07 697.46 -3634.58 -1495.53 -1334.52

18645.22 -23428.50 -5971.52 685.12 -461.57 95.05-23428.50 27802.59 -18048.89 -7002.51 744.51 -215.23

[ KL 2] = -5971.52 -18048.89 28662.35 -18180.06 -7406.20 1689.93685.12 -7002.51 -18180.06 28551.42 -17851.09 -7982.06-461.57 744.51 -7406.20 -17851.09 23081.40 -6844.0295.05 -215.23 1689.93 -7982.06 -6844.02 685.45

11807.64 -13248.45 -3081.63 617.58 -217.30 66.85-13248.45 16998.20 -10047.15 -3788.49 733.09 -195.71

[ KL 3] = -3081.63 -10047.15 17487.79 -10128.47 -3974.31 1154.11617.58 -3788.49 -10128.47 17392.47 -9661.81 -4899.59-217.30 733.09 -3974.31 -9661.81 14457.58 -3947.3566.85 -195.71 1154.11 -4899.59 -3947.35 330.12

12585.76 -16019.45 -4446.98 741.95 -332.53 95.90-16019.45 18147.46 -11646.16 -5385.65 871.74 -248.43

[ KL 4] = -4446.98 -11646.16 18827.75 -11756.29 -5676.73 1530.53741.95 -5385.65 -11756.29 18708.31 -11216.02 -6683.16-332.53 871.74 -5676.73 -11216.02 14476.36 -2929.9195.90 -248.43 1530.53 -6683.16 -2929.91 -2064.30

10622.86 -12204.62 -2899.08 161.59 -297.85 51.99-12204.62 15611.78 -10084.29 -3306.55 97.16 -50.65

[ KL 5] = -2899.08 -10084.29 15851.42 -10156.86 -3567.79 704.40161.59 -3306.55 -10156.86 15764.31 -10200.36 -3405.09-297.85 97.16 -3567.79 -10200.36 13273.96 -4935.6351.99 -50.65 704.40 -3405.09 -4935.63 2251.14

12585.76 -16019.45 -4446.98 741.95 -332.53 95.90-16019.45 18147.46 -11646.16 -5385.65 871.74 -248.43

[ KL 6] = -4446.98 -11646.16 18827.75 -11756.29 -5676.73 1530.53741.95 -5385.65 -11756.29 18708.31 -11216.02 -6683.16-332.53 871.74 -5676.73 -11216.02 14476.36 -2929.9195.90 -248.43 1530.53 -6683.16 -2929.91 -2064.30

ANALISIS PSEUDO-TRIDIMENSIONALCentro de Masa Exc. Accidental

Xo = 3.993 m ex = 0.385 mUBICACIÓN DEL CENTRO DE MASA Y FUERZAS Yo = 9.153 m ey = 0.949 m

NIVEL Xo Yo Fx Mx Fy My hS 3.993 9.153 5.268 4.998 5.27 2.028 3.801 3.993 9.153 13.873 13.162 13.87 5.341 2.402 3.993 9.153 23.328 22.132 23.33 8.981 2.403 3.993 9.153 32.076 30.432 32.08 12.349 2.404 3.993 9.153 40.824 38.732 40.82 15.717 2.405 3.993 9.153 43.756 41.514 43.76 16.846 2.40

UBICACIÓN DE PORTICOS

Semisotano, 1er, 2do, 3er, 4to y 5to Nivel

EJE Xi Yi Øi Xi-Xo Yi-Yo Cos(Ø) Sen(Ø) RiA 0 0 90 -3.993 -9.153 0.00 1.00 -3.993B 2.92 0 90 -1.073 -9.153 0.00 1.00 -1.073C 5.53 16.9 90 1.537 7.747 0.00 1.00 1.537D 8 0 90 4.007 -9.153 0.00 1.00 4.0076 0 0 0 -3.993 -9.153 1.00 0.00 9.1535 0 3.37 0 -3.993 -5.783 1.00 0.00 5.7834 0 7.32 0 -3.993 -1.833 1.00 0.00 1.8333 0 13.9 0 -3.993 4.747 1.00 0.00 -4.7472 0 16.9 0 -3.993 7.747 1.00 0.00 -7.7471 2.92 19.25 0 -1.073 10.097 1.00 0.00 -10.097

RIGIDEZ LATERALES

24286.95 -27745.04 -5881.00 596.19 -472.49 104.66-27745.04 36818.80 -22651.35 -6797.41 538.91 -105.16

[ KL A] = -5881.00 -22651.35 37534.97 -22800.61 -7187.77 1477.24596.19 -6797.41 -22800.61 37429.17 -22667.76 -7488.79-472.49 538.91 -7187.77 -22667.76 32871.71 -12541.59104.66 -105.16 1477.24 -7488.79 -12541.59 6574.99

0.00 1.00 -3.99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0.00 1.00 -3.99 0 0 0 0 0 0 0 0 0 0 0 0

G A = 0 0 0 0 0 0 0.00 1.00 -3.99 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0.00 1.00 -3.99 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0.00 1.00 -3.99 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00 1.00 -3.99

29269.81 -34967.75 -7859.14 660.75 -645.36 136.85-34967.75 44846.19 -28392.31 -8996.09 547.91 -108.85

[ KL B] = -7859.14 -28392.31 45759.51 -28586.65 -9519.60 1821.57660.75 -8996.09 -28586.65 45618.40 -28543.12 -9643.70-645.36 547.91 -9519.60 -28543.12 39749.33 -15163.39136.85 -108.85 1821.57 -9643.70 -15163.39 7378.71

0.00 1.00 -1.07 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0.00 1.00 -1.07 0 0 0 0 0 0 0 0 0 0 0 0

G B = 0 0 0 0 0 0 0.00 1.00 -1.07 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0.00 1.00 -1.07 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0.00 1.00 -1.07 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00 1.00 -1.07

6890.38 -9207.96 -2387.71 288.54 -67.01 11.01-9207.96 10367.31 -7002.07 -2701.59 355.05 -88.07

[ KL C] = -2387.71 -7002.07 10862.46 -7045.86 -2756.47 483.73288.54 -2701.59 -7045.86 10839.66 -6791.84 -3238.56-67.01 355.05 -2756.47 -6791.84 8347.83 -2065.9011.01 -88.07 483.73 -3238.56 -2065.90 -616.23

0.00 1.00 1.54 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0.00 1.00 1.54 0 0 0 0 0 0 0 0 0 0 0 0

G C = 0 0 0 0 0 0 0.00 1.00 1.54 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0.00 1.00 1.54 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0.00 1.00 1.54 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00 1.00 1.54

15816.66 -35999.70 -8976.46 -2597.24 -1208.45 -780.73-35999.70 10896.29 -20767.86 -17098.62 -682.09 -1891.52

[ KL D] = -8976.46 -20767.86 27560.39 -22323.47 -9280.40 -510.44-2597.24 -17098.62 -22323.47 24282.18 -24499.86 -10274.35-1208.45 -682.09 -9280.40 -24499.86 34805.24 -19680.93-780.73 -1891.52 -510.44 -10274.35 -19680.93 10253.96

0.00 1.00 4.01 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0.00 1.00 4.01 0 0 0 0 0 0 0 0 0 0 0 0

G D = 0 0 0 0 0 0 0.00 1.00 4.01 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0.00 1.00 4.01 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0.00 1.00 4.01 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00 1.00 4.01

6841.79 -9071.18 -2503.53 378.88 -110.83 21.66-9071.18 9997.92 -6643.27 -2944.00 479.66 -138.07

[ KL 1] = -2503.53 -6643.27 10473.56 -6692.59 -3039.09 697.46378.88 -2944.00 -6692.59 10435.81 -6374.58 -3634.58-110.83 479.66 -3039.09 -6374.58 7839.72 -1495.5321.66 -138.07 697.46 -3634.58 -1495.53 -1334.52

1.00 0.00 -10.10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 1.00 0.00 -10.10 0 0 0 0 0 0 0 0 0 0 0 0

G 1 = 0 0 0 0 0 0 1.00 0.00 -10.10 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 1.00 0.00 -10.10 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 1.00 0.00 -10.10 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.00 0.00 -10.10

18645.22 -23428.50 -5971.52 685.12 -461.57 95.05-23428.50 27802.59 -18048.89 -7002.51 744.51 -215.23

[ KL 2] = -5971.52 -18048.89 28662.35 -18180.06 -7406.20 1689.93685.12 -7002.51 -18180.06 28551.42 -17851.09 -7982.06-461.57 744.51 -7406.20 -17851.09 23081.40 -6844.0295.05 -215.23 1689.93 -7982.06 -6844.02 685.45

1.00 0.00 -7.75 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 1.00 0.00 -7.75 0 0 0 0 0 0 0 0 0 0 0 0

G 2 = 0 0 0 0 0 0 1.00 0.00 -7.75 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 1.00 0.00 -7.75 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 1.00 0.00 -7.75 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.00 0.00 -7.75

11807.64 -13248.45 -3081.63 617.58 -217.30 66.85-13248.45 16998.20 -10047.15 -3788.49 733.09 -195.71

[ KL 3] = -3081.63 -10047.15 17487.79 -10128.47 -3974.31 1154.11617.58 -3788.49 -10128.47 17392.47 -9661.81 -4899.59-217.30 733.09 -3974.31 -9661.81 14457.58 -3947.3566.85 -195.71 1154.11 -4899.59 -3947.35 330.12

1.00 0.00 -4.75 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 1.00 0.00 -4.75 0 0 0 0 0 0 0 0 0 0 0 0

G 3 = 0 0 0 0 0 0 1.00 0.00 -4.75 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 1.00 0.00 -4.75 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 1.00 0.00 -4.75 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.00 0.00 -4.75

12585.76 -16019.45 -4446.98 741.95 -332.53 95.90-16019.45 18147.46 -11646.16 -5385.65 871.74 -248.43

[ KL 4] = -4446.98 -11646.16 18827.75 -11756.29 -5676.73 1530.53741.95 -5385.65 -11756.29 18708.31 -11216.02 -6683.16-332.53 871.74 -5676.73 -11216.02 14476.36 -2929.9195.90 -248.43 1530.53 -6683.16 -2929.91 -2064.30

1.00 0.00 1.83 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 1.00 0.00 1.83 0 0 0 0 0 0 0 0 0 0 0 0

G 4 = 0 0 0 0 0 0 1.00 0.00 1.83 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 1.00 0.00 1.83 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 1.00 0.00 1.83 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.00 0.00 1.83

10622.86 -12204.62 -2899.08 161.59 -297.85 51.99-12204.62 15611.78 -10084.29 -3306.55 97.16 -50.65

[ KL 5] = -2899.08 -10084.29 15851.42 -10156.86 -3567.79 704.40161.59 -3306.55 -10156.86 15764.31 -10200.36 -3405.09-297.85 97.16 -3567.79 -10200.36 13273.96 -4935.6351.99 -50.65 704.40 -3405.09 -4935.63 2251.14

1.00 0.00 5.78 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 1.00 0.00 5.78 0 0 0 0 0 0 0 0 0 0 0 0

G 5 = 0 0 0 0 0 0 1.00 0.00 5.78 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 1.00 0.00 5.78 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 1.00 0.00 5.78 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.00 0.00 5.78

12585.76 -16019.45 -4446.98 741.95 -332.53 95.90-16019.45 18147.46 -11646.16 -5385.65 871.74 -248.43

[ KL 6] = -4446.98 -11646.16 18827.75 -11756.29 -5676.73 1530.53741.95 -5385.65 -11756.29 18708.31 -11216.02 -6683.16-332.53 871.74 -5676.73 -11216.02 14476.36 -2929.9195.90 -248.43 1530.53 -6683.16 -2929.91 -2064.30

1.00 0.00 9.15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 1.00 0.00 9.15 0 0 0 0 0 0 0 0 0 0 0 0

G 6 = 0 0 0 0 0 0 1.00 0.00 9.15 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 1.00 0.00 9.15 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 1.00 0.00 9.15 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.00 0.00 9.15

0.00 0 0 0 0 0 0.00 0 0 0 0 01.00 0 0 0 0 0 1.00 0 0 0 0 0-3.99 0 0 0 0 0 -1.07 0 0 0 0 0

0 0.00 0 0 0 0 0 0.00 0 0 0 00 1.00 0 0 0 0 0 1.00 0 0 0 00 -3.99 0 0 0 0 0 -1.07 0 0 0 00 0 0.00 0 0 0 0 0 0.00 0 0 00 0 1.00 0 0 0 0 0 1.00 0 0 00 0 -3.99 0 0 0 0 0 -1.07 0 0 00 0 0 0.00 0 0 0 0 0 0.00 0 00 0 0 1.00 0 0 0 0 0 1.00 0 00 0 0 -3.99 0 0 0 0 0 -1.07 0 00 0 0 0 0.00 0 0 0 0 0 0.00 00 0 0 0 1.00 0 0 0 0 0 1.00 00 0 0 0 -3.99 0 0 0 0 0 -1.07 00 0 0 0 0 0.00 0 0 0 0 0 0.000 0 0 0 0 1.00 0 0 0 0 0 1.000 0 0 0 0 -3.99 0 0 0 0 0 -1.07

0.00 0 0 0 0 0 0.00 0 0 0 0 01.00 0 0 0 0 0 1.00 0 0 0 0 01.54 0 0 0 0 0 4.01 0 0 0 0 0

0 0.00 0 0 0 0 0 0.00 0 0 0 00 1.00 0 0 0 0 0 1.00 0 0 0 00 1.54 0 0 0 0 0 4.01 0 0 0 00 0 0.00 0 0 0 0 0 0.00 0 0 00 0 1.00 0 0 0 0 0 1.00 0 0 00 0 1.54 0 0 0 0 0 4.01 0 0 00 0 0 0.00 0 0 0 0 0 0.00 0 00 0 0 1.00 0 0 0 0 0 1.00 0 00 0 0 1.54 0 0 0 0 0 4.01 0 00 0 0 0 0.00 0 0 0 0 0 0.00 00 0 0 0 1.00 0 0 0 0 0 1.00 00 0 0 0 1.54 0 0 0 0 0 4.01 00 0 0 0 0 0.00 0 0 0 0 0 0.000 0 0 0 0 1.00 0 0 0 0 0 1.000 0 0 0 0 1.54 0 0 0 0 0 4.01

G AT = G BT =

G CT = G DT =

1.00 0 0 0 0 0 1.00 0 0 0 0 00.00 0 0 0 0 0 0.00 0 0 0 0 0

-10.10 0 0 0 0 0 -7.75 0 0 0 0 00 1.00 0 0 0 0 0 1.00 0 0 0 00 0.00 0 0 0 0 0 0.00 0 0 0 00 -10.10 0 0 0 0 0 -7.75 0 0 0 00 0 1.00 0 0 0 0 0 1.00 0 0 00 0 0.00 0 0 0 0 0 0.00 0 0 00 0 -10.10 0 0 0 0 0 -7.75 0 0 00 0 0 1.00 0 0 0 0 0 1.00 0 00 0 0 0.00 0 0 0 0 0 0.00 0 00 0 0 -10.10 0 0 0 0 0 -7.75 0 00 0 0 0 1.00 0 0 0 0 0 1.00 00 0 0 0 0.00 0 0 0 0 0 0.00 00 0 0 0 -10.10 0 0 0 0 0 -7.75 00 0 0 0 0 1.00 0 0 0 0 0 1.000 0 0 0 0 0.00 0 0 0 0 0 0.000 0 0 0 0 -10.10 0 0 0 0 0 -7.75

1.00 0 0 0 0 0 1.00 0 0 0 0 00.00 0 0 0 0 0 0.00 0 0 0 0 0-4.75 0 0 0 0 0 1.83 0 0 0 0 0

0 1.00 0 0 0 0 0 1.00 0 0 0 00 0.00 0 0 0 0 0 0.00 0 0 0 00 -4.75 0 0 0 0 0 1.83 0 0 0 00 0 1.00 0 0 0 0 0 1.00 0 0 00 0 0.00 0 0 0 0 0 0.00 0 0 00 0 -4.75 0 0 0 0 0 1.83 0 0 00 0 0 1.00 0 0 0 0 0 1.00 0 00 0 0 0.00 0 0 0 0 0 0.00 0 00 0 0 -4.75 0 0 0 0 0 1.83 0 00 0 0 0 1.00 0 0 0 0 0 1.00 00 0 0 0 0.00 0 0 0 0 0 0.00 00 0 0 0 -4.75 0 0 0 0 0 1.83 00 0 0 0 0 1.00 0 0 0 0 0 1.000 0 0 0 0 0.00 0 0 0 0 0 0.000 0 0 0 0 -4.75 0 0 0 0 0 1.83

1.00 0 0 0 0 0 1.00 0 0 0 0 00.00 0 0 0 0 0 0.00 0 0 0 0 05.78 0 0 0 0 0 9.15 0 0 0 0 0

0 1.00 0 0 0 0 0 1.00 0 0 0 00 0.00 0 0 0 0 0 0.00 0 0 0 00 5.78 0 0 0 0 0 9.15 0 0 0 00 0 1.00 0 0 0 0 0 1.00 0 0 00 0 0.00 0 0 0 0 0 0.00 0 0 00 0 5.78 0 0 0 0 0 9.15 0 0 00 0 0 1.00 0 0 0 0 0 1.00 0 00 0 0 0.00 0 0 0 0 0 0.00 0 00 0 0 5.78 0 0 0 0 0 9.15 0 00 0 0 0 1.00 0 0 0 0 0 1.00 00 0 0 0 0.00 0 0 0 0 0 0.00 00 0 0 0 5.78 0 0 0 0 0 9.15 00 0 0 0 0 1.00 0 0 0 0 0 1.000 0 0 0 0 0.00 0 0 0 0 0 0.000 0 0 0 0 5.78 0 0 0 0 0 9.15

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 24287.0 -96979.8 0.0 -27745.0 110788.2 0.0 -5881.0 23483.3 0.0 596.2 -2380.6 0.0 -472.5 1886.7 0.0 104.7 -417.90.0 -96979.8 387248.1 0.0 110788.2 -442386.4 0.0 23483.3 -93770.8 0.0 -2380.6 9506.1 0.0 1886.7 -7533.7 0.0 -417.9 1668.70.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 -27745.0 110788.2 0.0 36818.8 -147020.5 0.0 -22651.3 90448.7 0.0 -6797.4 27142.6 0.0 538.9 -2151.9 0.0 -105.2 419.90.0 110788.2 -442386.4 0.0 -147020.5 587064.8 0.0 90448.7 -361169.0 0.0 27142.6 -108382.6 0.0 -2151.9 8592.7 0.0 419.9 -1676.70.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 -5881.0 23483.3 0.0 -22651.3 90448.7 0.0 37535.0 -149880.2 0.0 -22800.6 91044.7 0.0 -7187.8 28701.4 0.0 1477.2 -5898.80.0 23483.3 -93770.8 0.0 90448.7 -361169.0 0.0 -149880.2 598483.8 0.0 91044.7 -363548.9 0.0 28701.4 -114606.9 0.0 -5898.8 23554.20.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 596.2 -2380.6 0.0 -6797.4 27142.6 0.0 -22800.6 91044.7 0.0 37429.2 -149457.7 0.0 -22667.8 90514.2 0.0 -7488.8 29903.30.0 -2380.6 9506.1 0.0 27142.6 -108382.6 0.0 91044.7 -363548.9 0.0 -149457.7 596796.8 0.0 90514.2 -361430.7 0.0 29903.3 -119406.50.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 -472.5 1886.7 0.0 538.9 -2151.9 0.0 -7187.8 28701.4 0.0 -22667.8 90514.2 0.0 32871.7 -131259.4 0.0 -12541.6 50079.60.0 1886.7 -7533.7 0.0 -2151.9 8592.7 0.0 28701.4 -114606.9 0.0 90514.2 -361430.7 0.0 -131259.4 524129.5 0.0 50079.6 -199971.90.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 104.7 -417.9 0.0 -105.2 419.9 0.0 1477.2 -5898.8 0.0 -7488.8 29903.3 0.0 -12541.6 50079.6 0.0 6575.0 -26254.50.0 -417.9 1668.7 0.0 419.9 -1676.7 0.0 -5898.8 23554.2 0.0 29903.3 -119406.5 0.0 50079.6 -199971.9 0.0 -26254.5 104836.2

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 29269.8 -31408.9 0.0 -34967.8 37523.2 0.0 -7859.1 8433.5 0.0 660.7 -709.0 0.0 -645.4 692.5 0.0 136.8 -146.90.0 -31408.9 33704.3 0.0 37523.2 -40265.5 0.0 8433.5 -9049.8 0.0 -709.0 760.9 0.0 692.5 -743.1 0.0 -146.9 157.60.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 -34967.8 37523.2 0.0 44846.2 -48123.6 0.0 -28392.3 30467.3 0.0 -8996.1 9653.5 0.0 547.9 -587.9 0.0 -108.9 116.80.0 37523.2 -40265.5 0.0 -48123.6 51640.6 0.0 30467.3 -32693.9 0.0 9653.5 -10359.0 0.0 -587.9 630.9 0.0 116.8 -125.30.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 -7859.1 8433.5 0.0 -28392.3 30467.3 0.0 45759.5 -49103.7 0.0 -28586.6 30675.8 0.0 -9519.6 10215.3 0.0 1821.6 -1954.70.0 8433.5 -9049.8 0.0 30467.3 -32693.9 0.0 -49103.7 52692.3 0.0 30675.8 -32917.6 0.0 10215.3 -10961.9 0.0 -1954.7 2097.50.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 660.7 -709.0 0.0 -8996.1 9653.5 0.0 -28586.6 30675.8 0.0 45618.4 -48952.3 0.0 -28543.1 30629.1 0.0 -9643.7 10348.50.0 -709.0 760.9 0.0 9653.5 -10359.0 0.0 30675.8 -32917.6 0.0 -48952.3 52529.8 0.0 30629.1 -32867.5 0.0 10348.5 -11104.80.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 -645.4 692.5 0.0 547.9 -587.9 0.0 -9519.6 10215.3 0.0 -28543.1 30629.1 0.0 39749.3 -42654.3 0.0 -15163.4 16271.60.0 692.5 -743.1 0.0 -587.9 630.9 0.0 10215.3 -10961.9 0.0 30629.1 -32867.5 0.0 -42654.3 45771.5 0.0 16271.6 -17460.70.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 136.8 -146.9 0.0 -108.9 116.8 0.0 1821.6 -1954.7 0.0 -9643.7 10348.5 0.0 -15163.4 16271.6 0.0 7378.7 -7918.00.0 -146.9 157.6 0.0 116.8 -125.3 0.0 -1954.7 2097.5 0.0 10348.5 -11104.8 0.0 16271.6 -17460.7 0.0 -7918.0 8496.6

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 6890.4 10590.0 0.0 -9208.0 -14151.9 0.0 -2387.7 -3669.7 0.0 288.5 443.5 0.0 -67.0 -103.0 0.0 11.0 16.90.0 10590.0 16275.9 0.0 -14151.9 -21750.3 0.0 -3669.7 -5640.0 0.0 443.5 681.6 0.0 -103.0 -158.3 0.0 16.9 26.00.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 -9208.0 -14151.9 0.0 10367.3 15933.7 0.0 -7002.1 -10761.6 0.0 -2701.6 -4152.1 0.0 355.1 545.7 0.0 -88.1 -135.40.0 -14151.9 -21750.3 0.0 15933.7 24488.8 0.0 -10761.6 -16539.7 0.0 -4152.1 -6381.5 0.0 545.7 838.7 0.0 -135.4 -208.00.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 -2387.7 -3669.7 0.0 -7002.1 -10761.6 0.0 10862.5 16694.7 0.0 -7045.9 -10828.9 0.0 -2756.5 -4236.5 0.0 483.7 743.50.0 -3669.7 -5640.0 0.0 -10761.6 -16539.7 0.0 16694.7 25658.4 0.0 -10828.9 -16643.2 0.0 -4236.5 -6511.1 0.0 743.5 1142.60.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 288.5 443.5 0.0 -2701.6 -4152.1 0.0 -7045.9 -10828.9 0.0 10839.7 16659.7 0.0 -6791.8 -10438.5 0.0 -3238.6 -4977.4

G 1T = G 2T =

G 3T = G 4T =

G 5T = G 6T =

GAT*KLA*GA=

GBT*KLB*GB=

GCT*KLC*GC=

0.0 443.5 681.6 0.0 -4152.1 -6381.5 0.0 -10828.9 -16643.2 0.0 16659.7 25604.5 0.0 -10438.5 -16043.1 0.0 -4977.4 -7649.90.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 -67.0 -103.0 0.0 355.1 545.7 0.0 -2756.5 -4236.5 0.0 -6791.8 -10438.5 0.0 8347.8 12829.9 0.0 -2065.9 -3175.10.0 -103.0 -158.3 0.0 545.7 838.7 0.0 -4236.5 -6511.1 0.0 -10438.5 -16043.1 0.0 12829.9 19718.6 0.0 -3175.1 -4879.90.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 11.0 16.9 0.0 -88.1 -135.4 0.0 483.7 743.5 0.0 -3238.6 -4977.4 0.0 -2065.9 -3175.1 0.0 -616.2 -947.10.0 16.9 26.0 0.0 -135.4 -208.0 0.0 743.5 1142.6 0.0 -4977.4 -7649.9 0.0 -3175.1 -4879.9 0.0 -947.1 -1455.6

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 15816.7 63376.1 0.0 -35999.7 -144247.9 0.0 -8976.5 -35968.0 0.0 -2597.2 -10406.9 0.0 -1208.5 -4842.2 0.0 -780.7 -3128.30.0 63376.1 253942.8 0.0 -144247.9 -577989.5 0.0 -35968.0 -144120.7 0.0 -10406.9 -41699.7 0.0 -4842.2 -19402.2 0.0 -3128.3 -12534.90.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 -35999.7 -144247.9 0.0 10896.3 43660.6 0.0 -20767.9 -83215.1 0.0 -17098.6 -68512.8 0.0 -682.1 -2733.1 0.0 -1891.5 -7579.20.0 -144247.9 -577989.5 0.0 43660.6 174944.3 0.0 -83215.1 -333436.2 0.0 -68512.8 -274525.2 0.0 -2733.1 -10951.2 0.0 -7579.2 -30369.20.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 -8976.5 -35968.0 0.0 -20767.9 -83215.1 0.0 27560.4 110432.2 0.0 -22323.5 -89448.3 0.0 -9280.4 -37185.8 0.0 -510.4 -2045.30.0 -35968.0 -144120.7 0.0 -83215.1 -333436.2 0.0 110432.2 442492.9 0.0 -89448.3 -358412.2 0.0 -37185.8 -149000.4 0.0 -2045.3 -8195.20.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 -2597.2 -10406.9 0.0 -17098.6 -68512.8 0.0 -22323.5 -89448.3 0.0 24282.2 97296.7 0.0 -24499.9 -98168.9 0.0 -10274.4 -41168.50.0 -10406.9 -41699.7 0.0 -68512.8 -274525.2 0.0 -89448.3 -358412.2 0.0 97296.7 389860.0 0.0 -98168.9 -393354.9 0.0 -41168.5 -164958.80.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 -1208.5 -4842.2 0.0 -682.1 -2733.1 0.0 -9280.4 -37185.8 0.0 -24499.9 -98168.9 0.0 34805.2 139461.7 0.0 -19680.9 -78859.90.0 -4842.2 -19402.2 0.0 -2733.1 -10951.2 0.0 -37185.8 -149000.4 0.0 -98168.9 -393354.9 0.0 139461.7 558811.8 0.0 -78859.9 -315985.20.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 -780.7 -3128.3 0.0 -1891.5 -7579.2 0.0 -510.4 -2045.3 0.0 -10274.4 -41168.5 0.0 -19680.9 -78859.9 0.0 10254.0 41086.80.0 -3128.3 -12534.9 0.0 -7579.2 -30369.2 0.0 -2045.3 -8195.2 0.0 -41168.5 -164958.8 0.0 -78859.9 -315985.2 0.0 41086.8 164631.3

6841.8 0.0 -69079.0 -9071.2 0.0 91588.3 -2503.5 0.0 25277.2 378.9 0.0 -3825.4 -110.8 0.0 1119.0 21.7 0.0 -218.70.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

-69079.0 0.0 697464.6 91588.3 0.0 -924732.7 25277.2 0.0 -255214.7 -3825.4 0.0 38623.5 1119.0 0.0 -11298.2 -218.7 0.0 2208.2-9071.2 0.0 91588.3 9997.9 0.0 -100945.3 -6643.3 0.0 67074.6 -2944.0 0.0 29724.5 479.7 0.0 -4842.9 -138.1 0.0 1394.1

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.091588.3 0.0 -924732.7 -100945.3 0.0 1019206.6 67074.6 0.0 -677227.4 29724.5 0.0 -300117.0 -4842.9 0.0 48897.0 1394.1 0.0 -14075.3-2503.5 0.0 25277.2 -6643.3 0.0 67074.6 10473.6 0.0 -105747.6 -6692.6 0.0 67572.6 -3039.1 0.0 30684.5 697.5 0.0 -7042.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.025277.2 0.0 -255214.7 67074.6 0.0 -677227.4 -105747.6 0.0 1067693.8 67572.6 0.0 -682254.8 30684.5 0.0 -309810.0 -7042.0 0.0 71100.0

378.9 0.0 -3825.4 -2944.0 0.0 29724.5 -6692.6 0.0 67572.6 10435.8 0.0 -105366.4 -6374.6 0.0 64361.7 -3634.6 0.0 36697.00.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

-3825.4 0.0 38623.5 29724.5 0.0 -300117.0 67572.6 0.0 -682254.8 -105366.4 0.0 1063845.3 64361.7 0.0 -649835.9 36697.0 0.0 -370516.1-110.8 0.0 1119.0 479.7 0.0 -4842.9 -3039.1 0.0 30684.5 -6374.6 0.0 64361.7 7839.7 0.0 -79154.7 -1495.5 0.0 15099.8

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01119.0 0.0 -11298.2 -4842.9 0.0 48897.0 30684.5 0.0 -309810.0 64361.7 0.0 -649835.9 -79154.7 0.0 799195.5 15099.8 0.0 -152456.9

21.7 0.0 -218.7 -138.1 0.0 1394.1 697.5 0.0 -7042.0 -3634.6 0.0 36697.0 -1495.5 0.0 15099.8 -1334.5 0.0 13474.20.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

-218.7 0.0 2208.2 1394.1 0.0 -14075.3 -7042.0 0.0 71100.0 36697.0 0.0 -370516.1 15099.8 0.0 -152456.9 13474.2 0.0 -136043.5

18645.2 0.0 -144437.5 -23428.5 0.0 181491.8 -5971.5 0.0 46259.1 685.1 0.0 -5307.4 -461.6 0.0 3575.6 95.1 0.0 -736.30.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

-144437.5 0.0 1118902.9 181491.8 0.0 -1405948.8 46259.1 0.0 -358351.8 -5307.4 0.0 41114.4 3575.6 0.0 -27698.8 -736.3 0.0 5704.2-23428.5 0.0 181491.8 27802.6 0.0 -215376.2 -18048.9 0.0 139818.0 -7002.5 0.0 54245.8 744.5 0.0 -5767.4 -215.2 0.0 1667.3

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0181491.8 0.0 -1405948.8 -215376.2 0.0 1668438.5 139818.0 0.0 -1083117.3 54245.8 0.0 -420221.9 -5767.4 0.0 44678.1 1667.3 0.0 -12915.7-5971.5 0.0 46259.1 -18048.9 0.0 139818.0 28662.3 0.0 -222036.5 -18180.1 0.0 140834.1 -7406.2 0.0 57373.1 1689.9 0.0 -13091.3

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.046259.1 0.0 -358351.8 139818.0 0.0 -1083117.3 -222036.5 0.0 1720033.0 140834.1 0.0 -1090989.0 57373.1 0.0 -444447.7 -13091.3 0.0 101413.1

685.1 0.0 -5307.4 -7002.5 0.0 54245.8 -18180.1 0.0 140834.1 28551.4 0.0 -221177.1 -17851.1 0.0 138285.7 -7982.1 0.0 61834.00.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

-5307.4 0.0 41114.4 54245.8 0.0 -420221.9 140834.1 0.0 -1090989.0 -221177.1 0.0 1713375.9 138285.7 0.0 -1071247.3 61834.0 0.0 -479005.1-461.6 0.0 3575.6 744.5 0.0 -5767.4 -7406.2 0.0 57373.1 -17851.1 0.0 138285.7 23081.4 0.0 -178802.9 -6844.0 0.0 53018.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03575.6 0.0 -27698.8 -5767.4 0.0 44678.1 57373.1 0.0 -444447.7 138285.7 0.0 -1071247.3 -178802.9 0.0 1385119.0 53018.0 0.0 -410710.7

95.1 0.0 -736.3 -215.2 0.0 1667.3 1689.9 0.0 -13091.3 -7982.1 0.0 61834.0 -6844.0 0.0 53018.0 685.5 0.0 -5309.90.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

-736.3 0.0 5704.2 1667.3 0.0 -12915.7 -13091.3 0.0 101413.1 61834.0 0.0 -479005.1 53018.0 0.0 -410710.7 -5309.9 0.0 41134.0

11807.6 0.0 -56046.4 -13248.4 0.0 62885.4 -3081.6 0.0 14627.3 617.6 0.0 -2931.4 -217.3 0.0 1031.4 66.8 0.0 -317.30.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

-56046.4 0.0 266031.3 62885.4 0.0 -298493.4 14627.3 0.0 -69430.5 -2931.4 0.0 13914.4 1031.4 0.0 -4895.9 -317.3 0.0 1506.1-13248.4 0.0 62885.4 16998.2 0.0 -80684.1 -10047.1 0.0 47690.0 -3788.5 0.0 17982.5 733.1 0.0 -3479.7 -195.7 0.0 929.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.062885.4 0.0 -298493.4 -80684.1 0.0 382977.0 47690.0 0.0 -226366.7 17982.5 0.0 -85356.3 -3479.7 0.0 16516.8 929.0 0.0 -4409.4-3081.6 0.0 14627.3 -10047.1 0.0 47690.0 17487.8 0.0 -83008.0 -10128.5 0.0 48076.0 -3974.3 0.0 18864.6 1154.1 0.0 -5478.1

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014627.3 0.0 -69430.5 47690.0 0.0 -226366.7 -83008.0 0.0 394007.6 48076.0 0.0 -228198.9 18864.6 0.0 -89543.0 -5478.1 0.0 26002.7

617.6 0.0 -2931.4 -3788.5 0.0 17982.5 -10128.5 0.0 48076.0 17392.5 0.0 -82555.5 -9661.8 0.0 45861.0 -4899.6 0.0 23256.50.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

-2931.4 0.0 13914.4 17982.5 0.0 -85356.3 48076.0 0.0 -228198.9 -82555.5 0.0 391860.1 45861.0 0.0 -217684.9 23256.5 0.0 -110390.0-217.3 0.0 1031.4 733.1 0.0 -3479.7 -3974.3 0.0 18864.6 -9661.8 0.0 45861.0 14457.6 0.0 -68624.7 -3947.4 0.0 18736.6

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01031.4 0.0 -4895.9 -3479.7 0.0 16516.8 18864.6 0.0 -89543.0 45861.0 0.0 -217684.9 -68624.7 0.0 325735.7 18736.6 0.0 -88935.6

66.8 0.0 -317.3 -195.7 0.0 929.0 1154.1 0.0 -5478.1 -4899.6 0.0 23256.5 -3947.4 0.0 18736.6 330.1 0.0 -1567.00.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

-317.3 0.0 1506.1 929.0 0.0 -4409.4 -5478.1 0.0 26002.7 23256.5 0.0 -110390.0 18736.6 0.0 -88935.6 -1567.0 0.0 7437.8

12585.8 0.0 23074.4 -16019.5 0.0 -29369.7 -4447.0 0.0 -8153.0 742.0 0.0 1360.3 -332.5 0.0 -609.7 95.9 0.0 175.80.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

23074.4 0.0 42304.1 -29369.7 0.0 -53845.6 -8153.0 0.0 -14947.5 1360.3 0.0 2493.9 -609.7 0.0 -1117.7 175.8 0.0 322.3-16019.5 0.0 -29369.7 18147.5 0.0 33271.1 -11646.2 0.0 -21351.8 -5385.7 0.0 -9873.9 871.7 0.0 1598.2 -248.4 0.0 -455.5

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0-29369.7 0.0 -53845.6 33271.1 0.0 60998.5 -21351.8 0.0 -39145.9 -9873.9 0.0 -18102.6 1598.2 0.0 2930.1 -455.5 0.0 -835.0-4447.0 0.0 -8153.0 -11646.2 0.0 -21351.8 18827.7 0.0 34518.3 -11756.3 0.0 -21553.7 -5676.7 0.0 -10407.6 1530.5 0.0 2806.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0-8153.0 0.0 -14947.5 -21351.8 0.0 -39145.9 34518.3 0.0 63285.1 -21553.7 0.0 -39516.0 -10407.6 0.0 -19081.0 2806.0 0.0 5144.5742.0 0.0 1360.3 -5385.7 0.0 -9873.9 -11756.3 0.0 -21553.7 18708.3 0.0 34299.4 -11216.0 0.0 -20563.2 -6683.2 0.0 -12252.7

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01360.3 0.0 2493.9 -9873.9 0.0 -18102.6 -21553.7 0.0 -39516.0 34299.4 0.0 62883.6 -20563.2 0.0 -37700.0 -12252.7 0.0 -22463.9-332.5 0.0 -609.7 871.7 0.0 1598.2 -5676.7 0.0 -10407.6 -11216.0 0.0 -20563.2 14476.4 0.0 26540.6 -2929.9 0.0 -5371.6

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0-609.7 0.0 -1117.7 1598.2 0.0 2930.1 -10407.6 0.0 -19081.0 -20563.2 0.0 -37700.0 26540.6 0.0 48658.9 -5371.6 0.0 -9848.295.9 0.0 175.8 -248.4 0.0 -455.5 1530.5 0.0 2806.0 -6683.2 0.0 -12252.7 -2929.9 0.0 -5371.6 -2064.3 0.0 -3784.60.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

175.8 0.0 322.3 -455.5 0.0 -835.0 2806.0 0.0 5144.5 -12252.7 0.0 -22463.9 -5371.6 0.0 -9848.2 -3784.6 0.0 -6938.7

10622.9 0.0 61436.0 -12204.6 0.0 -70583.9 -2899.1 0.0 -16766.5 161.6 0.0 934.5 -297.8 0.0 -1722.6 52.0 0.0 300.70.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

61436.0 0.0 355307.4 -70583.9 0.0 -408213.2 -16766.5 0.0 -96966.7 934.5 0.0 5404.7 -1722.6 0.0 -9962.2 300.7 0.0 1738.9-12204.6 0.0 -70583.9 15611.8 0.0 90288.8 -10084.3 0.0 -58321.2 -3306.5 0.0 -19123.0 97.2 0.0 561.9 -50.6 0.0 -292.9

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0-70583.9 0.0 -408213.2 90288.8 0.0 522174.1 -58321.2 0.0 -337293.7 -19123.0 0.0 -110595.5 561.9 0.0 3249.6 -292.9 0.0 -1694.0-2899.1 0.0 -16766.5 -10084.3 0.0 -58321.2 15851.4 0.0 91674.7 -10156.9 0.0 -58740.9 -3567.8 0.0 -20633.9 704.4 0.0 4073.8

GDT*KLD*GD=

G1T*KL1*G1=

G2T*KL2*G2=

G3T*KL3*G3=

G4T*KL4*G4=

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0-16766.5 0.0 -96966.7 -58321.2 0.0 -337293.7 91674.7 0.0 530189.4 -58740.9 0.0 -339720.9 -20633.9 0.0 -119333.5 4073.8 0.0 23560.4

161.6 0.0 934.5 -3306.5 0.0 -19123.0 -10156.9 0.0 -58740.9 15764.3 0.0 91170.9 -10200.4 0.0 -58992.5 -3405.1 0.0 -19692.90.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

934.5 0.0 5404.7 -19123.0 0.0 -110595.5 -58740.9 0.0 -339720.9 91170.9 0.0 527275.6 -58992.5 0.0 -341176.0 -19692.9 0.0 -113891.5-297.8 0.0 -1722.6 97.2 0.0 561.9 -3567.8 0.0 -20633.9 -10200.4 0.0 -58992.5 13274.0 0.0 76768.3 -4935.6 0.0 -28544.6

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0-1722.6 0.0 -9962.2 561.9 0.0 3249.6 -20633.9 0.0 -119333.5 -58992.5 0.0 -341176.0 76768.3 0.0 443980.0 -28544.6 0.0 -165084.1

52.0 0.0 300.7 -50.6 0.0 -292.9 704.4 0.0 4073.8 -3405.1 0.0 -19692.9 -4935.6 0.0 -28544.6 2251.1 0.0 13019.20.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

300.7 0.0 1738.9 -292.9 0.0 -1694.0 4073.8 0.0 23560.4 -19692.9 0.0 -113891.5 -28544.6 0.0 -165084.1 13019.2 0.0 75294.8

12585.8 0.0 115202.2 -16019.5 0.0 -146632.0 -4447.0 0.0 -40704.8 742.0 0.0 6791.4 -332.5 0.0 -3043.8 95.9 0.0 877.80.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

115202.2 0.0 1054488.9 -146632.0 0.0 -1342178.2 -40704.8 0.0 -372586.7 6791.4 0.0 62164.1 -3043.8 0.0 -27861.0 877.8 0.0 8034.7-16019.5 0.0 -146632.0 18147.5 0.0 166110.6 -11646.2 0.0 -106601.7 -5385.7 0.0 -49296.9 871.7 0.0 7979.3 -248.4 0.0 -2274.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0-146632.0 0.0 -1342178.2 166110.6 0.0 1520472.3 -106601.7 0.0 -975765.4 -49296.9 0.0 -451233.0 7979.3 0.0 73037.8 -2274.0 0.0 -20814.5

-4447.0 0.0 -40704.8 -11646.2 0.0 -106601.7 18827.7 0.0 172337.4 -11756.3 0.0 -107609.7 -5676.7 0.0 -51961.2 1530.5 0.0 14009.50.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

-40704.8 0.0 -372586.7 -106601.7 0.0 -975765.4 172337.4 0.0 1577469.2 -107609.7 0.0 -984992.1 -51961.2 0.0 -475620.4 14009.5 0.0 128234.0742.0 0.0 6791.4 -5385.7 0.0 -49296.9 -11756.3 0.0 -107609.7 18708.3 0.0 171244.2 -11216.0 0.0 -102664.4 -6683.2 0.0 -61173.5

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06791.4 0.0 62164.1 -49296.9 0.0 -451233.0 -107609.7 0.0 -984992.1 171244.2 0.0 1567462.3 -102664.4 0.0 -939726.0 -61173.5 0.0 -559944.0-332.5 0.0 -3043.8 871.7 0.0 7979.3 -5676.7 0.0 -51961.2 -11216.0 0.0 -102664.4 14476.4 0.0 132507.5 -2929.9 0.0 -26818.6

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0-3043.8 0.0 -27861.0 7979.3 0.0 73037.8 -51961.2 0.0 -475620.4 -102664.4 0.0 -939726.0 132507.5 0.0 1212891.3 -26818.6 0.0 -245480.8

95.9 0.0 877.8 -248.4 0.0 -2274.0 1530.5 0.0 14009.5 -6683.2 0.0 -61173.5 -2929.9 0.0 -26818.6 -2064.3 0.0 -18895.30.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

877.8 0.0 8034.7 -2274.0 0.0 -20814.5 14009.5 0.0 128234.0 -61173.5 0.0 -559944.0 -26818.6 0.0 -245480.8 -18895.3 0.0 -172955.9

MATRIZ GLOBAL DE LA ESTRUCTURA (K)

73089.0 0.0 -69850.3 -89991.7 0.0 89379.9 -23349.7 0.0 20539.4 3327.1 0.0 -2978.0 -1752.6 0.0 350.0 427.3 0.0 81.90.0 76263.8 -54422.6 0.0 -107920.5 -10088.3 0.0 -25104.3 -7720.9 0.0 -1051.8 -13053.1 0.0 -2393.3 -2366.0 0.0 -528.2 -3676.2

-69850.3 -54422.6 4225670.2 89379.9 -10088.3 -5515803.7 20539.4 -7720.9 -1420079.3 -2978.0 -13053.1 132963.9 350.0 -2366.0 -110671.2 81.9 -3676.2 8831.8-89991.7 0.0 89379.9 106705.4 0.0 -107335.1 -68115.9 0.0 68307.9 -27812.8 0.0 23659.0 3797.9 0.0 -3950.6 -1096.5 0.0 968.0

0.0 -107920.5 -10088.3 0.0 102928.6 -135549.8 0.0 -78813.6 26939.2 0.0 -35593.7 -35868.8 0.0 759.8 -4927.2 0.0 -2193.6 -7177.889379.9 -10088.3 -5515803.7 -107335.1 -135549.8 6012405.6 68307.9 26939.2 -4082755.2 23659.0 -35868.8 -1785274.6 -3950.6 -4927.2 188420.4 968.0 -7177.8 -87123.2-23349.7 0.0 20539.4 -68115.9 0.0 68307.9 110130.6 0.0 -112261.5 -68670.6 0.0 68578.4 -29340.8 0.0 23919.5 7307.0 0.0 -4722.0

0.0 -25104.3 -7720.9 0.0 -78813.6 26939.2 0.0 121717.3 -71856.9 0.0 -80756.6 21443.2 0.0 -28744.2 -2505.6 0.0 3272.1 -9155.3

[ K ] = 20539.4 -7720.9 -1420079.3 68307.9 26939.2 -4082755.2 -112261.5 -71856.9 6472005.6 68578.4 21443.2 -4137193.7 23919.5 -2505.6 -1738915.8 -4722.0 -9155.3 374053.83327.1 0.0 -2978.0 -27812.8 0.0 23659.0 -68670.6 0.0 68578.4 109560.6 0.0 -112384.6 -66519.9 0.0 66288.2 -33287.7 0.0 28668.5

0.0 -1051.8 -13053.1 0.0 -35593.7 -35868.8 0.0 -80756.6 21443.2 0.0 118169.4 -84453.6 0.0 -82502.6 12535.9 0.0 -30645.4 -5894.1-2978.0 -13053.1 132963.9 23659.0 -35868.8 -1785274.6 68578.4 21443.2 -4137193.7 -112384.6 -84453.6 6391493.8 66288.2 12535.9 -4061066.3 28668.5 -5894.1 -1959330.5-1752.6 0.0 350.0 3797.9 0.0 -3950.6 -29340.8 0.0 23919.5 -66519.9 0.0 66288.2 87605.4 0.0 -90765.9 -23082.4 0.0 26119.6

0.0 -2393.3 -2366.0 0.0 759.8 -4927.2 0.0 -28744.2 -2505.6 0.0 -82502.6 12535.9 0.0 115774.1 -21622.0 0.0 -49451.8 -15683.9350.0 -2366.0 -110671.2 -3950.6 -4927.2 188420.4 23919.5 -2505.6 -1738915.8 66288.2 12535.9 -4061066.3 -90765.9 -21622.0 5364011.9 26119.6 -15683.9 -1610814.1427.3 0.0 81.9 -1096.5 0.0 968.0 7307.0 0.0 -4722.0 -33287.7 0.0 28668.5 -23082.4 0.0 26119.6 -2196.4 0.0 -3063.5

0.0 -528.2 -3676.2 0.0 -2193.6 -7177.8 0.0 3272.1 -9155.3 0.0 -30645.4 -5894.1 0.0 -49451.8 -15683.9 0.0 23591.4 5967.381.9 -3676.2 8831.8 968.0 -7177.8 -87123.2 -4722.0 -9155.3 374053.8 28668.5 -5894.1 -1959330.5 26119.6 -15683.9 -1610814.1 -3063.5 5967.3 84437.1

-3.858E-06 1.859E-07 -1.460E-08 -1.140E-05 1.367E-07 -1.458E-07 -1.168E-05 1.110E-07 -1.754E-07 -3.543E-06 2.476E-08 -6.180E-08 -3.570E-07 -3.005E-09 -2.695E-08 2.227E-05 -2.041E-07 3.297E-071.859E-07 -9.537E-06 3.209E-07 1.585E-07 -1.466E-05 2.688E-07 3.157E-07 -8.124E-06 3.318E-07 1.251E-07 2.481E-06 8.166E-08 1.594E-07 9.351E-06 5.423E-08 -5.446E-07 2.285E-05 -6.396E-07-1.460E-08 3.209E-07 -8.280E-08 -1.462E-07 2.530E-07 -2.042E-07 -1.737E-07 1.839E-07 -1.856E-07 -6.200E-08 -6.609E-09 -3.859E-08 -2.634E-08 -8.111E-08 2.913E-08 3.247E-07 -4.073E-07 3.818E-07-1.140E-05 1.585E-07 -1.462E-07 -6.757E-06 1.775E-07 -7.505E-08 -9.646E-06 1.081E-07 -1.488E-07 -2.702E-06 2.167E-08 -4.747E-08 -7.689E-07 -2.722E-08 -3.182E-08 1.702E-05 -2.251E-07 2.563E-071.367E-07 -1.466E-05 2.530E-07 1.775E-07 -9.280E-06 2.731E-07 2.738E-07 -6.451E-06 2.892E-07 1.140E-07 2.026E-06 7.672E-08 1.259E-07 6.897E-06 3.594E-08 -4.804E-07 1.721E-05 -5.624E-07-1.458E-07 2.688E-07 -2.042E-07 -7.505E-08 2.731E-07 -1.208E-07 -1.475E-07 1.686E-07 -1.518E-07 -4.799E-08 -5.249E-09 -2.817E-08 -3.196E-08 -9.273E-08 1.482E-08 2.519E-07 -3.911E-07 2.896E-07-1.168E-05 3.157E-07 -1.737E-07 -9.646E-06 2.738E-07 -1.475E-07 5.185E-07 2.324E-07 1.715E-08 -4.469E-07 -3.682E-08 -7.690E-09 7.642E-07 -1.438E-07 1.074E-08 2.860E-06 -4.214E-07 4.914E-081.110E-07 -8.124E-06 1.839E-07 1.081E-07 -6.451E-06 1.686E-07 2.324E-07 2.506E-06 2.423E-07 6.702E-08 -4.898E-08 4.462E-08 6.489E-08 3.625E-07 8.516E-09 -2.715E-07 -1.623E-07 -3.166E-07-1.754E-07 3.318E-07 -1.856E-07 -1.488E-07 2.892E-07 -1.518E-07 1.715E-08 2.423E-07 2.147E-08 -7.502E-09 -4.049E-08 -3.666E-09 1.159E-08 -1.550E-07 1.490E-08 4.903E-08 -4.435E-07 3.542E-08-3.543E-06 1.251E-07 -6.200E-08 -2.702E-06 1.140E-07 -4.799E-08 -4.469E-07 6.702E-08 -7.502E-09 2.492E-06 5.807E-09 4.466E-08 -2.185E-06 -7.063E-08 -2.923E-08 -1.509E-05 -1.158E-07 -2.215E-072.476E-08 2.481E-06 -6.609E-09 2.167E-08 2.026E-06 -5.249E-09 -3.682E-08 -4.898E-08 -4.049E-08 5.807E-09 -7.327E-07 1.899E-08 -5.204E-08 -7.749E-06 -2.315E-08 1.397E-07 -1.702E-05 1.777E-07-6.180E-08 8.166E-08 -3.859E-08 -4.747E-08 7.672E-08 -2.817E-08 -7.690E-09 4.462E-08 -3.666E-09 4.466E-08 1.899E-08 3.414E-08 -2.979E-08 -4.292E-08 -5.480E-08 -2.206E-07 -3.950E-08 -2.646E-07-3.570E-07 1.594E-07 -2.634E-08 -7.689E-07 1.259E-07 -3.196E-08 7.642E-07 6.489E-08 1.159E-08 -2.185E-06 -5.204E-08 -2.979E-08 5.317E-06 -7.302E-08 1.060E-07 -1.870E-05 -9.361E-08 -2.651E-07-3.005E-09 9.351E-06 -8.111E-08 -2.722E-08 6.897E-06 -9.273E-08 -1.438E-07 3.625E-07 -1.550E-07 -7.063E-08 -7.749E-06 -4.292E-08 -7.302E-08 -6.183E-06 -6.676E-09 3.817E-07 -2.246E-05 4.593E-07-2.695E-08 5.423E-08 2.913E-08 -3.182E-08 3.594E-08 1.482E-08 1.074E-08 8.516E-09 1.490E-08 -2.923E-08 -2.315E-08 -5.480E-08 1.060E-07 -6.676E-09 5.382E-08 -2.615E-07 8.022E-08 -3.320E-072.227E-05 -5.446E-07 3.247E-07 1.702E-05 -4.804E-07 2.519E-07 2.860E-06 -2.715E-07 4.903E-08 -1.509E-05 1.397E-07 -2.206E-07 -1.870E-05 3.817E-07 -2.615E-07 -3.008E-05 9.862E-07 -4.210E-07-2.041E-07 2.285E-05 -4.073E-07 -2.251E-07 1.721E-05 -3.911E-07 -4.214E-07 -1.623E-07 -4.435E-07 -1.158E-07 -1.702E-05 -3.950E-08 -9.361E-08 -2.246E-05 8.022E-08 9.862E-07 -2.527E-05 1.168E-063.297E-07 -6.396E-07 3.818E-07 2.563E-07 -5.624E-07 2.896E-07 4.914E-08 -3.166E-07 3.542E-08 -2.215E-07 1.777E-07 -2.646E-07 -2.651E-07 4.593E-07 -3.320E-07 -4.210E-07 1.168E-06 -4.830E-07

5.268 0.0003999 5.268 0.00039700 -0.0000122 0 -0.0000066

4.998 0.0000136 2.028 0.000008513.873 0.0002508 13.873 0.0002490

0 -0.0000110 0 -0.000006013.162 0.0000087 5.341 0.000005323.328 -0.0000414 23.328 -0.0000413

0 -0.0000025 0 -0.000000822.132 = -0.0000007 8.981 = -0.000000432.076 -0.0007463 32.076 -0.0007403

0 0.0000098 0 0.000006230.432 -0.0000233 12.349 -0.000015840.824 -0.0006741 40.824 -0.0006693

0 0.0000202 0 0.000012838.732 -0.0000211 15.717 -0.000013543.756 -0.0021719 43.756 -0.0021551

0 0.0000550 0 0.000035141.514 -0.0000644 16.846 -0.0000439

G5T*KL5*G5=

G6T*KL6*G6=

[ K -1] =

U=(K-1)*Fx = U=(K-1)*Fy =

DESPLAZAMIENTO DE LOS PORTICOS

PORTICO X-X Y-Y PORTICOS NIVEL DESPLAZAMIENTOS DISTORC. NORMAU FUERZAS U FUERZAS

A-A

-0.00007 -0.30343 -0.00004 -0.20478 KLA-A S 0.00007 0.00007 0.00009 < 0.007 CUMPLE-0.00005 -0.52330 -0.00003 -0.35105 1 0.00005 0.00011 0.00016 < 0.007 CUMPLE0.00000 -1.19439 0.00000 -0.86036 2 0.00000 0.00005 0.00006 < 0.007 CUMPLE0.00010 -0.58738 0.00007 -0.36330 3 0.00010 0.00010 0.00014 < 0.007 CUMPLE0.00010 -2.81132 0.00007 -2.01124 4 0.00010 0.00021 0.00029 < 0.007 CUMPLE0.00031 -0.02935 0.00021 0.02766 5 0.00031 0.00042 0.00058 < 0.007 CUMPLE

B-B

-0.00003 -0.04759 -0.00002 -0.03917 KL B-B S 0.00003 0.00003 0.00004 < 0.007 CUMPLE-0.00002 -0.22799 -0.00001 -0.16819 1 0.00002 0.00005 0.00007 < 0.007 CUMPLE0.00000 -0.46840 0.00000 -0.32988 2 0.00000 0.00002 0.00003 < 0.007 CUMPLE0.00003 -0.61325 0.00002 -0.41320 3 0.00003 0.00004 0.00005 < 0.007 CUMPLE0.00004 -1.15149 0.00003 -0.81524 4 0.00004 0.00008 0.00011 < 0.007 CUMPLE0.00012 -0.07389 0.00008 -0.03137 5 0.00012 0.00017 0.00023 < 0.007 CUMPLE

C-C

0.00001 0.03937 0.00001 0.02369 KL C-C S 0.00001 0.00001 0.00001 < 0.007 CUMPLE0.00000 0.04021 0.00000 0.02077 1 0.00000 0.00001 0.00002 < 0.007 CUMPLE0.00000 0.11921 0.00000 0.08839 2 0.00000 0.00001 0.00001 < 0.007 CUMPLE-0.00003 -0.03469 -0.00002 -0.02959 3 0.00003 0.00003 0.00004 < 0.007 CUMPLE-0.00001 0.17564 -0.00001 0.12616 4 0.00001 0.00004 0.00005 < 0.007 CUMPLE-0.00004 0.13479 -0.00003 0.09408 5 0.00004 0.00006 0.00008 < 0.007 CUMPLE

D-D

0.00004 0.31165 0.00003 0.22026 KL D-D S 0.00004 0.00004 0.00006 < 0.007 CUMPLE0.00002 0.71109 0.00002 0.49847 1 0.00002 0.00007 0.00009 < 0.007 CUMPLE-0.00001 1.54358 0.00000 1.10186 2 0.00001 0.00003 0.00004 < 0.007 CUMPLE-0.00008 1.23532 -0.00006 0.80608 3 0.00008 0.00009 0.00012 < 0.007 CUMPLE-0.00006 3.78718 -0.00004 2.70033 4 0.00006 0.00015 0.00020 < 0.007 CUMPLE-0.00020 -0.03154 -0.00014 -0.09037 5 0.00020 0.00027 0.00037 < 0.007 CUMPLE

1-1

0.00026 0.22908 0.00031 0.24876 KL 1-1 S 0.00031 0.00031 0.00043 < 0.007 CUMPLE0.00016 0.96593 0.00020 1.07137 1 0.00020 0.00051 0.00070 < 0.007 CUMPLE-0.00003 1.66159 -0.00004 1.84533 2 0.00004 0.00023 0.00032 < 0.007 CUMPLE-0.00051 2.98904 -0.00058 3.34232 3 0.00058 0.00062 0.00085 < 0.007 CUMPLE-0.00046 2.06938 -0.00053 2.26140 4 0.00053 0.00111 0.00154 < 0.007 CUMPLE-0.00152 4.53727 -0.00171 5.14737 5 0.00171 0.00224 0.00310 < 0.007 CUMPLE

2-2


3-3


4-4


5-5


6-6


CALCULO DE FORMAS MODALES MATRICIALMENTE

W6= 117.22Tn m6=1.172

K6=271.71Tn/cm3874.07 -2527.25 0.00 0.00 0.00 0.00

W5= 133.49Tn m6=1.335 -2527.25 5192.73 -2665.48 0.00 0.00 0.00

K= 0.00 -2665.48 5330.95 -2665.48 0.00 0.00K5=271.71Tn/cm 0.00 0.00 -2665.48 5330.95 -2665.48 0.00

0.00 0.00 0.00 -2665.48 5330.95 -2665.48W4= 133.49Tn m6=1.335 0.00 0.00 0.00 0.00 -2665.48 2665.48

K4=271.71Tn/cm1.170 0.000 0.000 0.000 0.000 0.000

W3= 133.49Tn m6=1.335 0.000 1.268 0.000 0.000 0.000 0.000

M= 0.000 0.000 1.335 0.000 0.000 0.000K3=271.71Tn/cm 0.000 0.000 0.000 1.335 0.000 0.000

0.000 0.000 0.000 0.000 1.335 0.000W2= 126.77Tn m6=1.268 0.000 0.000 0.000 0.000 0.000 1.172

K2=257.62Tn/cm3874.067- 1.171W²-2527.252- 0W² 0 0 0 0

W1= 117.05Tn m6=1.170 -2527.252- 0W²5192.727- 1.268W²-2665.475- 0W² 0 0 00 -2665.475- 0W² 5330.95- 1.335W² -2665.475- 0W² 0 0 =0K1=137.29Tn/cm 0 0 -2665.475- 0W² 5330.95- 1.335W²-2665.475- 0W² 00 0 0 -2665.475- 0W²5330.95- 1.335W² -2665.475- 0W²0 0 0 0 -2665.475- 0W²2665.475- 1.172W²

FRECUENCIAS CIRCULARES:

ω1= 9.571 91.60ω2= 29.845 890.74ω3= 49.411 2441.42ω4= 66.175 4379.18ω5= 79.250 6280.57ω6= 87.029 7573.99

FORMAS MODALESPRIMERA FORMA MODAL

91.6003766.85 -2527.25 0.00 0.00 0.00 0.00-2527.25 5076.61 -2665.48 0.00 0.00 0.00

0.00 -2665.48 5208.67 -2665.48 0.00 0.000.00 0.00 -2665.48 5208.67 -2665.48 0.000.00 0.00 0.00 -2665.48 5208.67 -2665.480.00 0.00 0.00 0.00 -2665.48 2558.10

3766.85 Ø11 -2527.25 Ø12 0.00 Ø13 0.00 Ø14 0.00 Ø15 0.00 Ø16 =0-2527.25 Ø11 5076.61 Ø12 -2665.48 Ø13 0.00 Ø14 0.00 Ø15 0.00 Ø16 =0

0.00 Ø11 -2665.48 Ø12 5208.67 Ø13 -2665.48 Ø14 0.00 Ø15 0.00 Ø16 =00.00 Ø11 0.00 Ø12 -2665.48 Ø13 5208.67 Ø14 -2665.48 Ø15 0.00 Ø16 =00.00 Ø11 0.00 Ø12 0.00 Ø13 -2665.48 Ø14 5208.67 Ø15 -2665.48 Ø16 =00.00 Ø11 0.00 Ø12 0.00 Ø13 0.00 Ø14 -2665.48 Ø15 2558.10 Ø16 =0

1.0001.4901.8912.2042.4162.518

SEGUNDA FORMA MODAL890.742

2831.45 -2527.25 0.00 0.00 0.00 0.00-2527.25 4063.53 -2665.48 0.00 0.00 0.00

0.00 -2665.48 4141.90 -2665.48 0.00 0.000.00 0.00 -2665.48 4141.90 -2665.48 0.000.00 0.00 0.00 -2665.48 4141.90 -2665.480.00 0.00 0.00 0.00 -2665.48 1621.35

2831.45 Ø21 -2527.25 Ø22 0.00 Ø23 0.00 Ø24 0.00 Ø25 0.00 Ø26 =0-2527.25 Ø21 4063.53 Ø22 -2665.48 Ø23 0.00 Ø24 0.00 Ø25 0.00 Ø26 =0

0.00 Ø21 -2665.48 Ø22 4141.90 Ø23 -2665.48 Ø24 0.00 Ø25 0.00 Ø26 =00.00 Ø21 0.00 Ø22 -2665.48 Ø23 4141.90 Ø24 -2665.48 Ø25 0.00 Ø26 =00.00 Ø21 0.00 Ø22 0.00 Ø23 -2665.48 Ø24 4141.90 Ø25 -2665.48 Ø26 =00.00 Ø21 0.00 Ø22 0.00 Ø23 0.00 Ø24 -2665.48 Ø25 1621.35 Ø26 =0

1.0001.1200.7600.060-0.666-1.095

ω1²=ω2²=ω3²=ω4²=ω5²=ω6²=

ω1²=Ø11

Ø12

Ø13

Ø14

Ø15

Ø16

Ø11=

Ø12=

Ø13=

Ø14=

Ø15=

Ø16=

ω2²=Ø21

Ø22

Ø23

Ø24

Ø25

Ø26

Ø11=

Ø12=

Ø13=

Ø14=

Ø15=

Ø16=

0² MK

TERCERA FORMA MODAL2441.423

1016.38 -2527.25 0.00 0.00 0.00 0.00-2527.25 2097.74 -2665.48 0.00 0.00 0.00

0.00 -2665.48 2071.89 -2665.48 0.00 0.000.00 0.00 -2665.48 2071.89 -2665.48 0.000.00 0.00 0.00 -2665.48 2071.89 -2665.480.00 0.00 0.00 0.00 -2665.48 -196.36

1016.38 Ø11 -2527.25 Ø12 0.00 Ø13 0.00 Ø14 0.00 Ø15 0.00 Ø16 =0-2527.25 Ø11 2097.74 Ø12 -2665.48 Ø13 0.00 Ø14 0.00 Ø15 0.00 Ø16 =0

0.00 Ø11 -2665.48 Ø12 2071.89 Ø13 -2665.48 Ø14 0.00 Ø15 0.00 Ø16 =00.00 Ø11 0.00 Ø12 -2665.48 Ø13 2071.89 Ø14 -2665.48 Ø15 0.00 Ø16 =00.00 Ø11 0.00 Ø12 0.00 Ø13 -2665.48 Ø14 2071.89 Ø15 -2665.48 Ø16 =00.00 Ø11 0.00 Ø12 0.00 Ø13 0.00 Ø14 -2665.48 Ø15 -196.36 Ø16 =0

1.0000.402-0.632-0.893-0.0630.850

CUARTA FORMA MODAL4379.181

-1251.76 -2527.25 0.00 0.00 0.00 0.00-2527.25 -358.76 -2665.48 0.00 0.00 0.00

0.00 -2665.48 -514.82 -2665.48 0.00 0.000.00 0.00 -2665.48 -514.82 -2665.48 0.000.00 0.00 0.00 -2665.48 -514.82 -2665.480.00 0.00 0.00 0.00 -2665.48 -2467.80

-1251.76 Ø11 -2527.25 Ø12 0.00 Ø13 0.00 Ø14 0.00 Ø15 0.00 Ø16 =0-2527.25 Ø11 -358.76 Ø12 -2665.48 Ø13 0.00 Ø14 0.00 Ø15 0.00 Ø16 =0

0.00 Ø11 -2665.48 Ø12 -514.82 Ø13 -2665.48 Ø14 0.00 Ø15 0.00 Ø16 =00.00 Ø11 0.00 Ø12 -2665.48 Ø13 -514.82 Ø14 -2665.48 Ø15 0.00 Ø16 =00.00 Ø11 0.00 Ø12 0.00 Ø13 -2665.48 Ø14 -514.82 Ø15 -2665.48 Ø16 =00.00 Ø11 0.00 Ø12 0.00 Ø13 0.00 Ø14 -2665.48 Ø15 -2467.80 Ø16 =0

1.000-0.495-0.8810.6660.753-0.813

QUINTA FORMA MODAL6280.569

-3477.34 -2527.25 0.00 0.00 0.00 0.00-2527.25 -2769.15 -2665.48 0.00 0.00 0.00

0.00 -2665.48 -3052.98 -2665.48 0.00 0.000.00 0.00 -2665.48 -3052.98 -2665.48 0.000.00 0.00 0.00 -2665.48 -3052.98 -2665.480.00 0.00 0.00 0.00 -2665.48 -4696.61

-3477.34 Ø11 -2527.25 Ø12 0.00 Ø13 0.00 Ø14 0.00 Ø15 0.00 Ø16 =0-2527.25 Ø11 -2769.15 Ø12 -2665.48 Ø13 0.00 Ø14 0.00 Ø15 0.00 Ø16 =0

0.00 Ø11 -2665.48 Ø12 -3052.98 Ø13 -2665.48 Ø14 0.00 Ø15 0.00 Ø16 =00.00 Ø11 0.00 Ø12 -2665.48 Ø13 -3052.98 Ø14 -2665.48 Ø15 0.00 Ø16 =00.00 Ø11 0.00 Ø12 0.00 Ø13 -2665.48 Ø14 -3052.98 Ø15 -2665.48 Ø16 =00.00 Ø11 0.00 Ø12 0.00 Ø13 0.00 Ø14 -2665.48 Ø15 -4696.61 Ø16 =0

1.000-1.3760.4810.825-1.4260.809

SEXTA FORMA MODAL7573.995

-4991.29 -2527.25 0.00 0.00 0.00 0.00-2527.25 -4408.83 -2665.48 0.00 0.00 0.00

0.00 -2665.48 -4779.58 -2665.48 0.00 0.000.00 0.00 -2665.48 -4779.58 -2665.48 0.000.00 0.00 0.00 -2665.48 -4779.58 -2665.480.00 0.00 0.00 0.00 -2665.48 -6212.76

-4991.29 Ø11 -2527.25 Ø12 0.00 Ø13 0.00 Ø14 0.00 Ø15 0.00 Ø16 =0

ω3²=Ø11

Ø12

Ø13

Ø14

Ø15

Ø16

Ø11=

Ø12=

Ø13=

Ø14=

Ø15=

Ø16=

ω4²=Ø11

Ø12

Ø13

Ø14

Ø15

Ø16

Ø11=

Ø12=

Ø13=

Ø14=

Ø15=

Ø16=

ω5²=Ø11

Ø12

Ø13

Ø14

Ø15

Ø16

Ø11=

Ø12=

Ø13=

Ø14=

Ø15=

Ø16=

ω6²=Ø11

Ø12

Ø13

Ø14

Ø15

Ø16

-2527.25 Ø11 -4408.83 Ø12 -2665.48 Ø13 0.00 Ø14 0.00 Ø15 0.00 Ø16 =00.00 Ø11 -2665.48 Ø12 -4779.58 Ø13 -2665.48 Ø14 0.00 Ø15 0.00 Ø16 =00.00 Ø11 0.00 Ø12 -2665.48 Ø13 -4779.58 Ø14 -2665.48 Ø15 0.00 Ø16 =00.00 Ø11 0.00 Ø12 0.00 Ø13 -2665.48 Ø14 -4779.58 Ø15 -2665.48 Ø16 =00.00 Ø11 0.00 Ø12 0.00 Ø13 0.00 Ø14 -2665.48 Ø15 -6212.76 Ø16 =0

1.000-1.9752.319-2.1831.595-0.684

Ø11=

Ø12=

Ø13=

Ø14=

Ø15=

Ø16=

CALCULO DE FORMAS MODALES USANDO EL METODO DE HOLZERDIRECCION X-X

1.172W6= 117.22 Tn

K6= 271.71 Tn/cm1.335

W5= 133.49 Tn1346.81 2527.25 2665.48 2665.48 2665.48 2665.48

K5= 271.71 Tn/cm 1.170 1.268 1.335 1.335 1.335 1.1721.335

W4= 133.49 Tn

91.6039

∆= 1.000 1.490 1.891 2.204 2.416 2.518∆r= 0.490 0.400 0.313 0.212 0.101

K4= 271.71 Tn/cm Fr= 1346.81 1239.59 1066.51 835.32 565.81 270.34 0.0001.335 Fj= 107.222 173.085 231.188 269.509 295.466 270.345

W3= 133.49 Tn

890.8700099

∆= 1.000 1.120 0.760 0.060 -0.666 -1.095∆r= 0.120 -0.361 -0.700 -0.726 -0.429

K3= 271.71 Tn/cm Fr= 1346.81 304.05 -961.18 -1864.64 -1936.18 -1143.87 0.0061.268 Fj= 1042.763 1265.228 903.460 71.538 -792.301 -1143.880

W2= 126.77 Tn

2441.655555

∆= 1.000 0.402 -0.632 -0.893 -0.062 0.845∆r= -0.598 -1.034 -0.261 0.831 0.907

K2= 257.62 Tn/cm Fr= 1346.81 -1511.14 -2755.64 -696.48 2214.34 2417.45 0.0191.170 Fj= 2857.958 1244.494 -2059.153 -2910.819 -203.111 2417.427

W1= 117.05 Tn

4380.1568

∆= 1.000 -0.496 -0.881 0.666 0.752 -0.812∆r= -1.496 -0.385 1.548 0.086 -1.564

K1= 137.29 Tn/cm Fr= 1346.81 -3780.16 -1027.35 4125.01 228.61 -4169.28 0.000Fj= 5126.974 -2752.810 -5152.360 3896.396 4397.893 -4169.278

6280.9038

∆= 1.000 -1.376 0.482 0.824 -1.426 0.809∆r= -2.376 1.858 0.343 -2.250 2.235Fr= 1346.81 -6004.98 4951.87 913.19 -5997.98 5957.78 -0.005Fj= 7351.798 -10956.86 4038.68 6911.17 -11955.76 5957.78

7575.21

∆= 1.000 -1.976 2.321 -2.187 1.603 -0.687∆r= -2.976 4.296 -4.508 3.790 -2.290Fr= 1346.81 -7519.97 11451.44 -12015.39 10101.17 -6103.60 -0.009Fj= 8866.783 -18971.404 23466.824 -22116.563 16204.776 -6103.592

FORMAS MODALES

91.604 1.000W1 = 9.571 ; 1.490

1.891

T1 = = 0.656 s 2.2042.4162.518

890.870 1.000W2 = 29.847 ; 1.120

Ø2 = 0.760

T2 = = 0.211 s 0.060-0.666-1.095

2441.656 1.000W3 = 49.413 ; 0.402

Ø3 = -0.632

T3 = = 0.127 s -0.893-0.062

W2

W12 =

Ø1 =

2π/W1

W22 =

2π/W1

W32 =

2π/W1

0.845

4380.16 1.000W4 = 66.183 ; -1.376

Ø4 = -0.881

T4 = = 0.095 s 0.6660.752-0.812

6280.90 1.000W5 = 79.252 ; -1.376

Ø5 = 0.482

T5 = = 0.079 s 0.824-1.4260.809

7575.21 1.000W6 = 87.036 ; -1.976

Ø6 = 2.321

T6 = = 0.072 s -2.1871.603-0.687

W42 =

2π/W1

W52 =

2π/W1

W62 =

2π/W1

CALCULO DE FORMAS MODALES USANDO EL METODO DE HOLZERDIRECCION Y-Y

1.172W6= 117.22 Tn

K6= 298.82 Tn/cm1.335

W5= 133.49 Tn1412.15 2769.36 2931.42 2931.42 2931.42 2931.42

K5= 298.82 Tn/cm 1.170 1.268 1.335 1.335 1.335 1.1721.335

W4= 133.49 Tn

38.442

∆= 1.000 1.494 1.935 2.343 2.710 3.029∆r= 0.494 0.442 0.408 0.367 0.319

K4= 298.82 Tn/cm Fr= 1412.15 1367.15 1294.36 1195.05 1074.83 935.78 799.3011.335 Fj= 44.996 72.791 99.308 120.228 139.044 136.482

W3= 133.49 Tn

331.202

∆= 1.000 1.370 1.523 1.447 1.152 0.684∆r= 0.370 0.153 -0.076 -0.295 -0.468

K3= 298.82 Tn/cm Fr= 1412.15 1024.48 449.29 -224.15 -863.78 -1373.14 -1638.5561.268 Fj= 387.672 575.186 673.439 639.633 509.356 265.418

W2= 126.77 Tn

844.737

∆= 1.000 1.153 0.876 0.262 -0.452 -0.993∆r= 0.153 -0.277 -0.614 -0.715 -0.541

K2= 282.30 Tn/cm Fr= 1412.15 423.38 -811.21 -1799.19 -2095.08 -1585.04 -601.7651.170 Fj= 988.765 1234.590 987.986 295.886 -510.033 -983.279

W1= 117.05 Tn

1454.545

∆= 1.000 0.895 0.233 -0.583 -1.013 -0.772∆r= -0.105 -0.662 -0.816 -0.430 0.241

K1= 143.95 Tn/cm Fr= 1412.15 -290.40 -1940.97 -2393.41 -1260.54 707.27 2023.862Fj= 1702.545 1650.573 452.440 -1132.869 -1967.805 -1316.595

2007.478

∆= 1.000 0.661 -0.233 -0.914 -0.760 0.089∆r= -0.339 -0.894 -0.681 0.154 0.849Fr= 1412.15 -937.60 -2620.88 -1997.49 451.92 2488.21 2278.928Fj= 2349.753 1683.278 -623.390 -2449.411 -2036.286 209.278

2371.234

∆= 1.000 0.508 -0.478 -0.948 -0.394 0.585∆r= -0.492 -0.986 -0.470 0.554 0.979Fr= 1412.15 -1363.38 -2889.51 -1376.44 1622.92 2869.84 1243.619Fj= 2775.529 1526.129 -1513.072 -2999.352 -1246.923 1626.219

FORMAS MODALES

38.442 1.000W1 = 6.200 ; 1.494

1.935

T1 = = 1.013 s 2.3432.7103.029

331.202 1.000W2 = 18.199 ; 1.370

Ø2 = 1.523

T2 = = 0.345 s 1.4471.1520.684

844.737 1.000

W2

W12 =

Ø1 =

2π/W1

W22 =

2π/W1

W32 =

W3 = 29.064 ; 1.153Ø3 = 0.876

T3 = = 0.216 s 0.262-0.452-0.993

1454.55 1.000W4 = 38.138 ; 0.661

Ø4 = 0.233

T4 = = 0.165 s -0.583-1.013-0.772

2007.48 1.000W5 = 44.805 ; 0.661

Ø5 = -0.233

T5 = = 0.140 s -0.914-0.7600.089

2371.23 1.000W6 = 48.695 ; 0.508

Ø6 = -0.478

T6 = = 0.129 s -0.948-0.3940.585

2π/W1

W42 =

2π/W1

W52 =

2π/W1

W62 =

2π/W1

edificacion 5 niveles antisismica

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