analisis matricial de porticos.docx

47
METRADO DE CARGAS PORTICO EJE A 1-3 piso Aulas CM Viga 0. 34 0.5 2. 4 = 0.408 tnf /m Losa 0. 30 2.2 15 = 0.664 5 tnf /m Muro 0. 25 2.7 1. 9 = 1.282 5 tnf /m Piso terminado 0. 10 2.2 15 = 0.221 5 tnf /m Pc m = 2.576 5 tnf /m x Pis o 1.4 1.7 CV Wu 4.54 85 tnf /m Cv 0. 25 2.2 15 = 0.553 75 tnf /m Pc v = 0.553 75 tnf /m x Pis o 4 piso Aulas CM Viga 0. 34 0.5 2. 4 = 0.408 tnf /m Losa 0. 3 2.2 15 = 0.664 5 tnf /m Piso terminado 0. 1 2.2 15 = 0.221 5 tnf /m Pc m = 1.294 tnf /m x Pis o 1.4 1.7 CV Wu 2.18 82 tnf /m cv 0. 10 2.2 15 = 0.221 5 tnf /m Pc v = 0.221 5 tnf /m x Pis o Pasad iso 1 - 3 piso CM Viga 0. 34 0.5 2. 4 = 0.408 tnf /m Parapeto Pcm 0. 25 1.15 2.0 6 1. 9 = 1. 13 tn f Losa 0. 3 2.2 15 = 0.6645 tnf /m x Pi so Piso 0. 2.2 = 0.2215 tnf

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Page 1: ANALISIS MATRICIAL DE PORTICOS.docx

METRADO DE CARGASPORTICO EJE A

1-3 piso AulasCM

Viga0.34 0.5 2.4 = 0.408

tnf/m

Losa0.30

2.215 = 0.6645

tnf/m

Muro0.25 2.7 1.9 = 1.2825

tnf/m

Piso terminado

0.10

2.215 = 0.2215

tnf/m

Pcm = 2.5765

tnf/m x Piso

1.4 1.7

CV Wu4.548

5tnf/m

Cv0.25

2.215 =

0.55375

tnf/m

Pcv =0.5537

5tnf/m x Piso

4 piso AulasCM

Viga0.34 0.5 2.4 = 0.408

tnf/m

Losa 0.32.21

5 = 0.6645tnf/m

Piso terminado 0.1

2.215 = 0.2215

tnf/m

Pcm = 1.294

tnf/m x Piso

1.4 1.7

CV Wu2.188

2tnf/m

cv0.10

2.215 = 0.2215

tnf/m

Pcv = 0.2215tnf/m x Piso

Pasadiso

1 - 3 pisoCM

Viga 0.34 0.5 2.4 = 0.408 tnf/m Parapeto Pcm 0.25 1.15 2.061.9 = 1.13 tnf

Losa 0.3 2.215 = 0.6645 tnf/m xPiso

Piso terminado 0.1 2.215 = 0.2215 tnf/mPcm = 1.294 tnf/m x Piso

c/parapeto 1.834 tnf/m 1.4 1.7CV Wu 4.0738 tnf/mcv 0.4 2.215 = 0.886 tnf/m

Pcv = 0.886 tnf/m x Piso

Page 2: ANALISIS MATRICIAL DE PORTICOS.docx

4 pisoPcm = 1.294 tnf/m

Wu 2.1882 tnf/mCVcv 0.1 2.215 Pcv = 0.2215 tnf/m

BARRA 1

BARRA 1 Columna

E 2,173,707 Tn/m2

A 0.1972 m2

I 0.005528 m4

L 3.20 m

Angulo 90.00

0 -1 0 0 0 0

1 0 0 0 0 0

[B]T 0 0 1 0 0 0

0 0 0 0 -1 0

0 0 0 1 0 0

0 0 0 0 0 1.

133955 0 0 -133955 0 0

0 4401 7041 0-

4401 7041

[K local]= 0 7041 15021 0-

7041 7510

-133955 0 0 133955 0 0

0-

4401 -7041 0 4401 -7041

0 7041 7510 0-

7041 15021

0 1 0 0 0 0

-1 0 0 0 0 0

Page 3: ANALISIS MATRICIAL DE PORTICOS.docx

[B] = 0 0 1 0 0 0

0 0 0 0 1 0

0 0 0 -1 0 0

0 0 0 0 0 1

K global = {BT} * {K local} * {B}

1 2 3 4 5 61

4401 0 -7041-

4401 0 -7041

2 0 133955 0 0 -133955 0

K global = 3 -7041 0 15021 7041 0 7510

4 -4401 0 7041 4401 0 7041

5 0 -133955 0 0 133955 0

6 -7041 0 7510 7041 0 15021

FUERZAS Y MOMENTOS INTERNOS

1 0.000

2 0.757

{Ffp} 3 0.000

Coord. Local 4 0.000

5 0.757

6 0.000

{Ff} = [B]T {Ff}

1 -0.757

2 0.000

{Ffp} 3 0.000Coord. Global 4 -0.757

5 0.000

6 0.000

1 0.000000

2 0.000000

{Up} = 3 0.000000

4 0.000619

5 -0.000591

6 -0.000796

Page 4: ANALISIS MATRICIAL DE PORTICOS.docx

{P} = [k] [B] {u} + {Ff}

{P} = [k] [B] {u} + {Ff}

79.11 1 Tn

-2.12 2 Tn

{P}1 = -1.62 3 Tn m

-79.11 4 Tn

3.64 5 Tn

-7.60 6 Tn m

BARRA 2

BARRA N 2 Columna

E 2,173,707 Tn/m2

A 0.1972 m2

I 0.005528 m4

L 3.20 m

angulo 90.00 grados sexag.

0 -1 0 0 0 0

1 0 0 0 0 0

[B]T 0 0 1 0 0 0

0 0 0 0 -1 0

0 0 0 1 0 0

0 0 0 0 0 1

133955 0 0 -133955 0 0

0 4401 7041 0 -4401 7041

[K local] = 0 7041 15021 0 -7041 7510

-133955 0 0 133955 0 0

0 -4401 -7041 0 4401 -7041

0 7041 7510 0 -7041 15021

0 1 0 0 0 0

Page 5: ANALISIS MATRICIAL DE PORTICOS.docx

-1 0 0 0 0 0[B] 0 0 1 0 0 0

0 0 0 0 1 0

0 0 0 -1 0 0

0 0 0 0 0 1

K global = {BT} * {K local} * {B}

4 5 6 7 8 9

4 4401 0 -7041 -4401 0 -7041

5 0 133955 0 0 -133955 0K

global 6 -7041 01502

1 7041 0 7510

7 -4401 0 7041 4401 0 7041

8 0 -133955 0 0 133955 0

9 -7041 0 7510 7041 0 15021

FUERZAS Y MOMENTOS INTERNOS

4 0.000

5 0.757

{Ffp} 6 0.000

Coord. Local 7 0.000

8 0.757

9 0.000

{Ff} = [B]T {Ff}

4 -0.757

5 0.000

{Ffp} 6 0.000Coord. Global 7 -0.757

8 0.000

9 0.000

4 0.000619

5 -0.000591

{Up} = 6 -0.000796

7 0.002997

8 -0.001058

9 -0.001338

Page 6: ANALISIS MATRICIAL DE PORTICOS.docx

{P} = [k] [B] {u} + {Ff}

{P} = [k] [B] {u} + {Ff}

62.62 1 Tn

-3.80 2 Tn

{P}2 = -5.25 3 Tn m

-62.62 4 Tn

5.31 5 Tn

-9.32 6 Tn m

BARRA 3

BARRA N 3 Columna

E 2,173,707 Tn/m2

A 0.1972 m2

I 0.005528 m4

L 3.20 m

angulo 90.00

0 -1 0 0 0 0

1 0 0 0 0 0

[B]T 0 0 1 0 0 0

0 0 0 0 -1 0

0 0 0 1 0 0

0 0 0 0 0 1

133955 0 0 -133955 0 0

0 4401 7041 0-

4401 7041

[K local] 0 7041 15021 0-

7041 7510

-133955 0 0 133955 0 0

0-

4401 -7041 0 4401 -7041

0 7041 7510 0-

7041 15021

Page 7: ANALISIS MATRICIAL DE PORTICOS.docx

0 1 0 0 0 0

-1 0 0 0 0 0[B] 0 0 1 0 0 0

0 0 0 0 1 0

0 0 0 -1 0 0

0 0 0 0 0 1

K global = {BT} * {K local} * {B}

7 8 9 10 11 12

7 4401 0 -7041 -4401 0 -7041

8 0 133955 0 0 -133955 0K

global 9-

7041 01502

1 7041 0 7510

10-

4401 0 7041 4401 0 7041

11 0 -133955 0 0 133955 0

12-

7041 0 7510 7041 0 15021

FUERZAS Y MOMENTOS INTERNOS

7 0.000

8 0.757

{Ffp} 9 0.000

Coord. Local 10 0.000

11 0.757

12 0.000

{Ff} = [B]T {Ff}

7 -0.757

8 0.000

{Ffp} 9 0.000

Coord. Global 10 -0.757

11 0.000

12 0.000

7 0.002997

8 -0.001058{Up} = 9 -0.001338

10 0.006694

11 -0.001397

12 -0.001419

Page 8: ANALISIS MATRICIAL DE PORTICOS.docx

{P} = [k] [B] {u} + {Ff}

{P} = [k] [B] {u} + {Ff}

45.45 1 Tn

-2.39 2 Tn

{P}3 = -4.72 3 Tn m

-45.45 4 Tn

3.90 5 Tn

-5.33 6 Tn m

BARRA 4

BARRA N 4 Columna

E 2,173,707 Tn/m2

A 0.1972 m2

I 0.005528 m4

L 3.20 m

angulo 90.00 grados sexag.

0 -1 0 0 0 0

1 0 0 0 0 0

[B]T 0 0 1 0 0 0

0 0 0 0 -1 0

0 0 0 1 0 0

0 0 0 0 0 1

133955 0 0 -133955 0 0

0 4401 7041 0-

4401 7041

[K local] 0 7041 15021 0-

7041 7510

-133955 0 0 133955 0 0

0 - -7041 0 4401 -7041

Page 9: ANALISIS MATRICIAL DE PORTICOS.docx

4401

0 7041 7510 0-

7041 15021

0 1 0 0 0 0

-1 0 0 0 0 0[B] 0 0 1 0 0 0

0 0 0 0 1 0

0 0 0 -1 0 0

0 0 0 0 0 1

K global = {BT} * {K local} * {B}

10 11 12 13 14 15

10 4401 0 -7041 -4401 0 -7041

11 0 133955 0 0 -133955 0K

global 12-

7041 01502

1 7041 0 7510

13-

4401 0 7041 4401 0 7041

14 0 -133955 0 0 133955 0

15-

7041 0 7510 7041 0 15021

FUERZAS Y MOMENTOS INTERNOS

10 0.000

11 0.757

{Ffp} 12 0.000

Coord. Local 13 0.000

14 0.757

15 0.000

{Ff} = [B]T {Ff}

10 -0.757

11 0.000

{Ffp} 12 0.000

Coord. Global 13 -0.757

14 0.000

15 0.000

10 0.006694

11 -0.001397{Up} = 12 -0.001419

Page 10: ANALISIS MATRICIAL DE PORTICOS.docx

13 0.009935

14 -0.001559

15 -0.002286

{P} = [k] [B] {u} + {Ff}

{P} = [k] [B] {u} + {Ff}

21.64 1 Tn

-11.07 2 Tn

{P}4 = -15.67 3 Tn m

-21.64 4 Tn

12.58 5 Tn

-22.17 6 Tn m

BARRA 5

BARRA N 5 Columna

E 2,173,707 Tn/m2

A 0.1972 m2

I 0.005528 m4

L 3.20 m

angulo 90.00 grados sexag.

0 -1 0 0 0 0

1 0 0 0 0 0

[B]T 0 0 1 0 0 0

0 0 0 0 -1 0

0 0 0 1 0 0

0 0 0 0 0 1

133955 0 0 -133955 0 0

0 4401 7041 0-

4401 7041

Page 11: ANALISIS MATRICIAL DE PORTICOS.docx

[K local] 0 7041 15021 0-

7041 7510

-133955 0 0 133955 0 0

0-

4401 -7041 0 4401 -7041

0 7041 7510 0-

7041 15021

0 1 0 0 0 0

-1 0 0 0 0 0[B] 0 0 1 0 0 0

0 0 0 0 1 0

0 0 0 -1 0 0

0 0 0 0 0 1

K global = {BT} * {K local} * {B}

16 17 18 19 20 21

16 4401 0 -7041 -4401 0 -7041

17 0 133955 0 0 -133955 0K

global 18-

7041 01502

1 7041 0 7510

19-

4401 0 7041 4401 0 7041

20 0 -133955 0 0 133955 0

21-

7041 0 7510 7041 0 15021

FUERZAS Y MOMENTOS INTERNOS

16 0.000

17 0.757

{Ffp} 18 0.000

Coord. Local 19 0.000

20 0.757

21 0.000

{Ff} = [B]T {Ff}

16 -0.757

17 0.000

{Ffp} 18 0.000

Coord. Global 19 -0.757

20 0.000

21 0.000

Page 12: ANALISIS MATRICIAL DE PORTICOS.docx

16 0.000000

17 0.000000{Up} = 18 0.000000

19 0.000654

20 0.000712

21 -0.001724

{P} = [k] [B] {u} + {Ff}

{P} = [k] [B] {u} + {Ff}

-95.33 1 Tn

-8.50 2 Tn

{P}5 = -8.34 3 Tn m

95.33 4 Tn

10.02 5 Tn

-21.29 6 Tn m

BARRA 6

BARRA N 6 Columna

E 2,173,707 Tn/m2

A 0.1972 m2

I 0.005528 m4

L 3.20 m

angulo 90.00 grados sexag.

0 -1 0 0 0 0

1 0 0 0 0 0

[B]T 0 0 1 0 0 0

0 0 0 0 -1 0

0 0 0 1 0 0

0 0 0 0 0 1

Page 13: ANALISIS MATRICIAL DE PORTICOS.docx

133955 0 0 -133955 0 0

0 4401 7041 0-

4401 7041

[K local] 0 7041 15021 0-

7041 7510

-133955 0 0 133955 0 0

0-

4401 -7041 0 4401 -7041

0 7041 7510 0-

7041 15021

0 1 0 0 0 0

-1 0 0 0 0 0[B] 0 0 1 0 0 0

0 0 0 0 1 0

0 0 0 -1 0 0

0 0 0 0 0 1

K global = {BT} * {K local} * {B}

19 20 21 22 23 24

19 4401 0 -7041 -4401 0 -7041

20 0 133955 0 0 -133955 0K

global 21-

7041 01502

1 7041 0 7510

22-

4401 0 7041 4401 0 7041

23 0 -133955 0 0 133955 0

24-

7041 0 7510 7041 0 15021

FUERZAS Y MOMENTOS INTERNOS

19 0.000

20 0.757

{Ffp} 21 0.000

Coord. Local 22 0.000

23 0.757

24 0.000

{Ff} = [B]T {Ff}

19 -0.757

20 0.000

{Ffp} 21 0.000

Page 14: ANALISIS MATRICIAL DE PORTICOS.docx

Coord. Global 22 -0.757

23 0.000

24 0.000

19 0.000654

20 0.000712{Up} = 21 -0.001724

22 0.002967

23 -0.001770

24 -0.000799

{P} = [k] [B] {u} + {Ff}

{P} = [k] [B] {u} + {Ff}

332.41 1 Tn

-6.83 2 Tn

{P}6 = -15.61 3 Tn m

-332.41 4 Tn

8.34 5 Tn

-8.66 6 Tn m

BARRA 7

BARRA N 7 Columna

E 2,173,707 Tn/m2

A 0.1972 m2

I 0.005528 m4

L 3.20 m

angulo 90.00 grados sexag.

0 -1 0 0 0 0

1 0 0 0 0 0

Page 15: ANALISIS MATRICIAL DE PORTICOS.docx

[B]T 0 0 1 0 0 0

0 0 0 0 -1 0

0 0 0 1 0 0

0 0 0 0 0 1

133955 0 0 -133955 0 0

0 4401 7041 0-

4401 7041

[K local] 0 7041 15021 0-

7041 7510

-133955 0 0 133955 0 0

0-

4401 -7041 0 4401 -7041

0 7041 7510 0-

7041 15021

0 1 0 0 0 0

-1 0 0 0 0 0[B] 0 0 1 0 0 0

0 0 0 0 1 0

0 0 0 -1 0 0

0 0 0 0 0 1

K global = {BT} * {K local} * {B}

22 23 24 25 26 27

22 4401 0 -7041 -4401 0 -7041

23 0 133955 0 0 -133955 0K

global 24-

7041 01502

1 7041 0 7510

25-

4401 0 7041 4401 0 7041

26 0 -133955 0 0 133955 0

27-

7041 0 7510 7041 0 15021

FUERZAS Y MOMENTOS INTERNOS

22 0.000

23 0.757

{Ffp} 24 0.000

Coord. Local 25 0.000

26 0.757

27 0.000

Page 16: ANALISIS MATRICIAL DE PORTICOS.docx

{Ff} = [B]T {Ff}

22 -0.757

23 0.000

{Ffp} 24 0.000

Coord. Global 25 -0.757

26 0.000

27 0.000

22 0.002967

23 -0.001770{Up} = 24 -0.000799

25 0.006879

26 -0.002277

27 -0.001200

{P} = [k] [B] {u} + {Ff}

{P} = [k] [B] {u} + {Ff}

67.92 1 Tn

3.90 2 Tn

{P}7 = 6.53 3 Tn m

-67.92 4 Tn

-2.39 5 Tn

3.52 6 Tn m

BARRA 8

BARRA N 8 Columna

E 2,173,707 Tn/m2

A 0.1972 m2

I 0.005528 m4

L 3.20 m

Page 17: ANALISIS MATRICIAL DE PORTICOS.docx

angulo 90.00 grados sexag.

0 -1 0 0 0 0

1 0 0 0 0 0

[B]T 0 0 1 0 0 0

0 0 0 0 -1 0

0 0 0 1 0 0

0 0 0 0 0 1

133955 0 0 -133955 0 0

0 4401 7041 0-

4401 7041

[K local] 0 7041 15021 0-

7041 7510

-133955 0 0 133955 0 0

0-

4401 -7041 0 4401 -7041

0 7041 7510 0-

7041 15021

0 1 0 0 0 0

-1 0 0 0 0 0[B] 0 0 1 0 0 0

0 0 0 0 1 0

0 0 0 -1 0 0

0 0 0 0 0 1

K global = {BT} * {K local} * {B}

25 26 27 28 29 30

25 4401 0 -7041 -4401 0 -7041

26 0 133955 0 0 -133955 0K

global 27-

7041 01502

1 7041 0 7510

28-

4401 0 7041 4401 0 7041

29 0 -133955 0 0 133955 0

30-

7041 0 7510 7041 0 15021

FUERZAS Y MOMENTOS INTERNOS

25 0.000

26 0.757

{Ffp} 27 0.000

Coord. Local 28 0.000

Page 18: ANALISIS MATRICIAL DE PORTICOS.docx

29 0.757

30 0.000

{Ff} = [B]T {Ff}

25 -0.757

26 0.000

{Ffp} 27 0.000

Coord. Global 28 -0.757

29 0.000

30 0.000

25 0.006879

26 -0.002277{Up} = 27 -0.001200

28 0.009683

29 -0.002449

30 0.001126

{P} = [k] [B] {u} + {Ff}

{P} = [k] [B] {u} + {Ff}

23.04 1 Tn

12.58 2 Tn

{P}8 = 10.18 3 Tn m

-23.04 4 Tn

-11.07 5 Tn

27.65 6 Tn m

BARRA 9

BARRA N 9 Viga

E 2,173,707 Tn/m2

Page 19: ANALISIS MATRICIAL DE PORTICOS.docx

A 0.1700 m2

I 0.003542 m4

L 7.86 m

angulo 0.00 grados sexag.

1 0 0 0 0 0

0 1 0 0 0 0

[B]T 0 0 1 0 0 0

0 0 0 1 0 0

0 0 0 0 1 0

0 0 0 0 0 1

47014 0 0-

47014 0 0

0 190 748 0 -190 748[K

local] 0 748 3918 0 -748 1959

-47014 0 0 47014 0 0

0-

190 -748 0 190 -748

0 748 1959 0 -748 3918

1 0 0 0 0 0

0 1 0 0 0 0

[B] 0 0 1 0 0 0

0 0 0 1 0 0

0 0 0 0 1 0

0 0 0 0 0 1

4 5 6 19 20 21

4 47014 0 0-

47014 0 0

5 0 190 748 0 -190 748K

global 6 0 748 3918 0 -748 1959

19-

47014 0 0 47014 0 0

20 0 -190 -748 0 190 -748

21 0 748 1959 0 -748 3918

FUERZAS Y MOMENTOS INTERNOS

4 0.000

Page 20: ANALISIS MATRICIAL DE PORTICOS.docx

5 15.518

{Ffp} 6 20.315

Coord. Local 19 0.000

20 15.518

21 -20.315

{Ff} = [B]T {Ff}

4 0.000

5 15.518

{Ffp} 6 20.315

Coord. Global 19 0.000

20 15.518

21 -20.315

4 0.000619

5 -0.000591{Up} = 6 -0.000796

19 0.000654

20 0.000712

21 -0.001724

{P} = [k] [B] {u} + {Ff}

{P} = [k] [B] {u} + {Ff}

-1.67 1 Tn

13.39 2 Tn

{P}9 = 12.85 3 Tn m

1.67 4 Tn

17.65 5 Tn

-29.60 6 Tn m

BARRA 10

Page 21: ANALISIS MATRICIAL DE PORTICOS.docx

BARRA N 10 Viga

E 2,173,707 Tn/m2

A 0.1700 m2

I 0.003542 m4

L 7.86 m

angulo 0.00 grados sexag.

1 0 0 0 0 0

0 1 0 0 0 0

[B]T 0 0 1 0 0 0

0 0 0 1 0 0

0 0 0 0 1 0

0 0 0 0 0 1

47014 0 0-

47014 0 0

0 190 748 0 -190 748[K

local] 0 748 3918 0 -748 1959

-47014 0 0 47014 0 0

0-

190 -748 0 190 -748

0 748 1959 0 -748 3918

1 0 0 0 0 0

0 1 0 0 0 0

[B] 0 0 1 0 0 0

0 0 0 1 0 0

0 0 0 0 1 0

0 0 0 0 0 1

K global = {BT} * {K local} * {B}

7 8 9 22 23 24

7 47014 0 0-

47014 0 0

8 0 190 748 0 -190 748K

global 9 0 748 3918 0 -748 1959

22-

47014 0 0 47014 0 0

23 0 -190 -748 0 190 -748

24 0 748 1959 0 -748 3918

Page 22: ANALISIS MATRICIAL DE PORTICOS.docx

FUERZAS Y MOMENTOS INTERNOS

7 0.000

8 15.518

{Ffp} 9 20.315

Coord. Local 22 0.000

23 15.518

24 -20.315

{Ff} = [B]T {Ff}

7 0.000

8 15.518

{Ffp} 9 20.315

Coord. Global 22 0.000

23 15.518

24 -20.315

7 0.002997

8 -0.001058{Up} = 9 -0.001338

22 0.002967

23 -0.001770

24 -0.000799

{P} = [k] [B] {u} + {Ff}

{P} = [k] [B] {u} + {Ff}

1.41 1 Tn

14.06 2 Tn

{P}10 = 14.04 3 Tn m

-1.41 4 Tn

16.98 5 Tn

-25.53 6 Tn m

Page 23: ANALISIS MATRICIAL DE PORTICOS.docx

BARRA 11

BARRA N 11 Viga

E 2,173,707 Tn/m2

A 0.1700 m2

I 0.003542 m4

L 7.86 m

angulo 0.00 grados sexag.

1 0 0 0 0 0

0 1 0 0 0 0

[B]T 0 0 1 0 0 0

0 0 0 1 0 0

0 0 0 0 1 0

0 0 0 0 0 1

47014 0 0-

47014 0 0

0 190 748 0 -190 748[K

local] 0 748 3918 0 -748 1959

-47014 0 0 47014 0 0

0-

190 -748 0 190 -748

0 748 1959 0 -748 3918

1 0 0 0 0 0

0 1 0 0 0 0

[B] 0 0 1 0 0 0

0 0 0 1 0 0

0 0 0 0 1 0

0 0 0 0 0 1

K global = {BT} * {K local} * {B}

10 11 12 25 26 27

10 47014 0 0-

47014 0 0

11 0 190 748 0 -190 748K

global 12 0 748 3918 0 -748 1959

25-

47014 0 0 47014 0 0

26 0 -190 -748 0 190 -748

27 0 748 1959 0 -748 3918

Page 24: ANALISIS MATRICIAL DE PORTICOS.docx

FUERZAS Y MOMENTOS INTERNOS

10 0.000

11 21.582

{Ffp} 12 28.254

Coord. Local 25 0.000

26 21.582

27 -28.254

{Ff} = [B]T {Ff}

10 0.000

11 21.582

{Ffp} 12 28.254

Coord. Global 25 0.000

26 21.582

27 -28.254

10 0.006694

11 -0.001397{Up} = 12 -0.001419

25 0.006879

26 -0.002277

27 -0.001200

{P} = [k] [B] {u} + {Ff}

{P} = [k] [B] {u} + {Ff}

-8.68 1 Tn

19.79 2 Tn

{P}11 = 21.00 3 Tn m

8.68 4 Tn

23.37 5 Tn

-35.08 6 Tn m

Page 25: ANALISIS MATRICIAL DE PORTICOS.docx

BARRA 12

BARRA N 12 Viga

E 2,173,707 Tn/m2

A 0.1700 m2

I 0.003542 m4

L 7.86 m

angulo 0.00 grados sexag.

1 0 0 0 0 0

0 1 0 0 0 0

[B]T 0 0 1 0 0 0

0 0 0 1 0 0

0 0 0 0 1 0

0 0 0 0 0 1

47014 0 0 -47014 0 0

0 190 748 0 -190 748

[K local] 0 748391

8 0 -748 1959

-47014 0 0 47014 0 0

0 -190 -748 0 190 -748

0 748195

9 0 -748 3918

1 0 0 0 0 0

0 1 0 0 0 0

[B] 0 0 1 0 0 0

0 0 0 1 0 0

0 0 0 0 1 0

0 0 0 0 0 1

K global = {BT} * {K local} * {B}

13 14 15 28 29 30

13 47014 0 0-

47014 0 0

14 0 190 748 0 -190 748K

global 15 0 748 3918 0 -748 1959

28-

47014 0 0 47014 0 0

Page 26: ANALISIS MATRICIAL DE PORTICOS.docx

29 0 -190 -748 0 190 -748

30 0 748 1959 0 -748 3918

FUERZAS Y MOMENTOS INTERNOS

13 0.000

14 21.582

{Ffp} 15 28.254

Coord. Local 28 0.000

29 21.582

30 -28.254

{Ff} = [B]T {Ff}

13 0.000

14 21.582

{Ffp} 15 28.254

Coord. Global 28 0.000

29 21.582

30 -28.254

13 0.009935

14 -0.001559{Up} = 15 -0.002286

28 0.009683

29 -0.002449

30 0.001126

{P} = [k] [B] {u} + {Ff}

{P} = [k] [B] {u} + {Ff}

11.82 1 Tn

20.88 2 Tn

{P}12 = 22.17 3 Tn m

-11.82 4 Tn

22.28 5 Tn

-27.65 6 Tn m

Page 27: ANALISIS MATRICIAL DE PORTICOS.docx
Page 28: ANALISIS MATRICIAL DE PORTICOS.docx

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26

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Page 29: ANALISIS MATRICIAL DE PORTICOS.docx

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Page 30: ANALISIS MATRICIAL DE PORTICOS.docx

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Page 31: ANALISIS MATRICIAL DE PORTICOS.docx

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-0.00002

30.00000

00.00000

3

-0.00000

20.00000

70.00000

1

-0.00000

60.00001

50.00000

2

-0.00001

30.00002

20.00000

3

-0.00002

30.00003

00.00000

3

Page 32: ANALISIS MATRICIAL DE PORTICOS.docx

30

-0.00000

1

-0.00000

10.00000

1

-0.00001

0

-0.00000

20.00000

4

-0.00005

1

-0.00000

30.00002

7

-0.00017

2

-0.00000

30.00002

5

-0.00000

10.00000

10.00000

0

-0.00001

10.00000

20.00000

7

-0.00004

70.00000

30.00001

0

-0.00017

60.00000

30.00009

4

Page 33: ANALISIS MATRICIAL DE PORTICOS.docx

4 0

5 17.032

6 20.315

7 0

[Ffp] =

8 17.032

9 20.315

10 0

11 23.096

12 28.254

13 0

14 22.339

15 28.254

19 0

20 17.032

21 -20.315

22 0

23 17.032

24 -20.315

25 0

26 23.096

27 -28.254

28 0

29 22.339

30 -28.254

Page 34: ANALISIS MATRICIAL DE PORTICOS.docx

4 0

5 -1.596

6 0

7 0

[Fnp] =

8 -1.596

9 0

10 0

11 -2.505

12 0

13 0

14 0

15 0

19 0

20 -15.031

21 -14.71

22 0

23 -15.031

24 -14.71

25 0

26 -19.997

27 -21.372

28 0

29 0

30 0

Page 35: ANALISIS MATRICIAL DE PORTICOS.docx

4 0

5 -18.628

6 -20.315

7 0

[Fnp]-[Ffp] =

8 -18.628

9 -20.315

10 0

11 -25.601

12 -28.254

13 0

14 -22.339

15 -28.254

19 0

20 -32.063

21 5.605

22 0

23 -32.063

24 5.605

25 0

26 -43.093

27 6.882

28 0

29 -22.339

30 28.254

Page 36: ANALISIS MATRICIAL DE PORTICOS.docx

4 0.0006187

5 -0.000591

6 -0.000796

7 0.002997

[Up] =

8 -0.001058

9 -0.001338

10 0.0066939

11 -0.001397

12 -0.001419

13 0.0099347

14 -0.001559

15 -0.002286

19 0.0006543

20 0.0007117

21 -0.001724

22 0.002967

23 -0.00177

24 -0.000799

25 0.0068786

26 -0.002277

27 -0.0012

28 0.0096832

29 -0.002449

30 0.0011262

Page 37: ANALISIS MATRICIAL DE PORTICOS.docx

1 0.000000

2 0.000000

3 0.000000

4 0.000619

[U] =

5 -0.000591

6 -0.000796

7 0.002997

8 -0.001058

9 -0.001338

10 0.006694

11 -0.001397

12 -0.001419

13 0.009935

14 -0.001559

15 -0.002286

16 0.000000

17 0.000000

18 0.000000

19 0.000654

20 0.000712

21 -0.001724

22 0.002967

23 -0.001770

24 -0.000799

25 0.006879

26 -0.002277

27 -0.001200

28 0.009683

29 -0.002449

30 0.001126

Page 38: ANALISIS MATRICIAL DE PORTICOS.docx

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

1 4401 0 -7041 -4401 0 -7041 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

2 0 133955 0 0-

133955 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

3-

7041 01502

1 7041 0 7510 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

4-

4401 0 7041 55815 0 0 -4401 0 -7041 0 0 0 0 0 0 0 0 0-

47014 0 0 0 0 0 0 0 0 0 0 0

5 0-

133955 0 0 268100 748 0-

133955 0 0 0 0 0 0 0 0 0 0 0 -190 748 0 0 0 0 0 0 0 0 0

6-

7041 0 7510 0 7483395

9 7041 0 7510 0 0 0 0 0 0 0 0 0 0 -748 1959 0 0 0 0 0 0 0 0 0

7 0 0 0 -4401 0 7041 55815 0 0 -4401 0 -7041 0 0 0 0 0 0 0 0 0-

47014 0 0 0 0 0 0 0 0

8 0 0 0 0-

133955 0 0 268100 748 0-

133955 0 0 0 0 0 0 0 0 0 0 0 -190 748 0 0 0 0 0 0

9 0 0 0 -7041 0 7510 0 7483395

9 7041 0 7510 0 0 0 0 0 0 0 0 0 0 -748 1959 0 0 0 0 0 0

10 0 0 0 0 0 0 -4401 0 7041 55815 0 0 -4401 0 -7041 0 0 0 0 0 0 0 0 0-

47014 0 0 0 0 0

[Kpp

11 0 0 0 0 0 0 0-

133955 0 0 268100 748 0-

133955 0 0 0 0 0 0 0 0 0 0 0 -190 748 0 0 0

12 0 0 0 0 0 0 -7041 0 7510 0 7483395

9 7041 0 7510 0 0 0 0 0 0 0 0 0 0 -748 1959 0 0 0

13 0 0 0 0 0 0 0 0 0 -4401 0 7041 51415 0 7041 0 0 0 0 0 0 0 0 0 0 0 0-

47014 0 0

14 0 0 0 0 0 0 0 0 0 0-

133955 0 0 134145 748 0 0 0 0 0 0 0 0 0 0 0 0 0 -190 748

15 0 0 0 0 0 0 0 0 0 -7041 0 7510 7041 7481893

9 0 0 0 0 0 0 0 0 0 0 0 0 0 -748 1959

16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4401 4401 -7041 -4401 0 0 0 0 0 0 0 0 0 0 0

17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0-

133955-

133955 0 0 0 0 0 0 0 0 0

18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0-

7041-

70411502

1 7041 0 0 0 0 0 0 0 0 0 0 0

19 0 0 0-

47014 0 0 0 0 0 0 0 0 0 0 0-

4401-

4401 7041 55815 0 0 -4401 0 -7041 0 0 0 0 0 0

20 0 0 0 0 -190 -748 0 0 0 0 0 0 0 0 0 0 0 0 0 268100 267162 0-

133955 0 0 0 0 0 0 0

21 0 0 0 0 748 1959 0 0 0 0 0 0 0 0 0-

7041-

7041 7510 0 -748 3918 7041 0 7510 0 0 0 0 0 0

22 0 0 0 0 0 0-

47014 0 0 0 0 0 0 0 0 0 0 0 -4401 0 0 55815 0 0 -4401 0 -7041 0 0 0

23 0 0 0 0 0 0 0 -190 -748 0 0 0 0 0 0 0 0 0 0-

133955-

133955 0 268100 -748 0-

133955 0 0 0 0

24 0 0 0 0 0 0 0 748 1959 0 0 0 0 0 0 0 0 0 -7041 0 0 0 -7483395

9 7041 0 7510 0 0 0

25 0 0 0 0 0 0 0 0 0-

47014 0 0 0 0 0 0 0 0 0 0 0 -4401 0 7041 55815 0 0 -4401 0 -7041

26 0 0 0 0 0 0 0 0 0 0 -190 -748 0 0 0 0 0 0 0 0 0 0-

133955 0 0 268100 -748 0-

133955 0

27 0 0 0 0 0 0 0 0 0 0 748 1959 0 0 0 0 0 0 0 0 0 -7041 0 7510 0 -7483395

9 7041 0 7510

28 0 0 0 0 0 0 0 0 0 0 0 0-

47014 0 0 0 0 0 0 0 0 0 0 0 -4401 0 7041 51415 0 7041

29 0 0 0 0 0 0 0 0 0 0 0 0 0 -190 -748 0 0 0 0 0 0 0 0 0 0-

133955 0 0 134145 -748

30 0 0 0 0 0 0 0 0 0 0 0 0 0 748 1959 0 0 0 0 0 0 0 0 0 -7041 0 7510 7041 -7481893

9

Page 39: ANALISIS MATRICIAL DE PORTICOS.docx
Page 40: ANALISIS MATRICIAL DE PORTICOS.docx

REACCIONES

1 0.000000

2 0.000000

3 0.000000

4 0.000619

5 -0.000591

6 -0.000796

7 0.002997

8 -0.001058

9 -0.001338

10 0.006694

11 -0.001397

12 -0.001419

[U] =

13 0.009935

14 -0.001559

15 -0.002286

16 0.000000

17 0.000000

18 0.000000

19 0.000654

20 0.000712

21 -0.001724

22 0.002967

23 -0.001770

24 -0.000799

25 0.006879

26 -0.002277

27 -0.001200

28 0.009683

29 -0.002449

30 0.001126

Page 41: ANALISIS MATRICIAL DE PORTICOS.docx

1 2.88

2 79.11

3 -1.62

4 0.00

5 -18.63

6 -20.32

7 0.00

8 -18.63

9 -20.32

10 0.00

11 -25.60

12 -28.25

[F] =

13 0.00

14 -22.34

15 -28.25

reacciones 16 -2.88

17 135.64

18 4.61

19 0.00

20 -32.06

21 5.61

22 0.00

23 -32.06

24 5.61

25 0.00

26 -43.09

27 6.88

28 0.00

29 -22.34

30 28.25