corrección de errores - poligonal cerrada

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CORRECION ANALITICA DE ANGULOS Y LONGITUDES DATOS DE CAMPO ANGULO 1ra Medición 2da Medición 3ra Medición < E1 129° 12' 10'' 128° 48' 21'' 130° 02' 01'' < E2 91° 03' 02'' 90° 17' 12'' 89° 58' 59'' < E3 166° 59' 59'' 168° 01' 02'' 167° 25' 05'' < E4 102° 35' 00'' 101° 58' 55'' 103° 02' 03'' < E5 52° 31' 20'' 53° 02' 01'' 51° 59' 23'' L/L E1-E2 634.300 m 634.270 m 634.480 m E2-E3 763.290 m 763.310 m 763.260 m E3-E4 2066.830 m 2066.810 m 2066.810 m E4-E5 2387.800 m 2387.830 m 2387.830 m E5-E1 3537.860 m 3537.860 m 3537.860 m AZIMUT 290° 15' 29'' 180° 00' 00'' 360° 00' 00'' 540° 00' 00'' COORDENADAS E1 (749886, 9674215) AZ E1-E2 = E 1 E 2 E 3 E 4 E 5

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CORRECCION ANALITICA FUNCIONALCORRECION ANALITICA DE ANGULOS Y LONGITUDESNOTA: NO BORRAR LAS CELDAS ESCRITAS EN ROJO

DATOS DE CAMPO

ANGULO1ra Medicin2da Medicin3ra Medicin< E11291210'1284821'130201'< E291302'901712'895859'< E31665959'168102'1672505'< E41023500'1015855'103203'< E5523120'53201'515923'

L/L123E1-E2634.300 m634.270 m634.480 m634.35226.262219E2-E3763.290 m763.310 m763.260 m763.2872261544'E3-E42066.830 m2066.810 m2066.810 m2066.817119.925885E4-E52387.800 m2387.830 m2387.830 m2387.821195533'E5-E13537.860 m3537.860 m3537.860 m3537.8649.61813493705'AZIMUT174.8171051744902'AZ E1-E2 =2901529'290.26102.993647180000'180.001025937'360000'360.0092.645233540000'COORDENADAS923843'E17498869674215)

1. CALCULO DE ANGULOS PROMEDIO

ANGULO< E1 =1291210'+1284821'+130201'129.2027777778128.8058333333130.03361111113129.3474074074 =1292051'129.3475

< E2 =91302'+901712'+895859'91.050555555690.286666666789.9830555556390.4400925926 =902624'90.4400

< E3 =1665959'+168102'+1672505'166.9997222222168.0172222222167.41805555563167.4783333333 =1672842'167.4783

< E4 =1023500'+1015855'+103203'102.5833333333101.9819444444103.03416666673102.5331481481 =1023159'102.5331

< E5 =523120'+53201'+515923'52.522222222253.033611111151.9897222222352.5151851852 =523055'52.5153

2. SUMATORIA DE LOS ANGULOS

< R =< E1< E2< E3< E4< E5 < R =5421851'542.3142

R = REALEXCESO=21851'2.31416709'ELEGIR OTRO TIPO DE TOLERANCIA EN PASO 43. CONTROL ANGULAR

< T =180 * (n-2)n = Nmero de lados del polgono218.85251.12 < T =180 3.0 < T =540

T = TEORICO

4. TOLERANCIA ANGULAR

Ta =a nDonde:Ta=Tolerancia angulara =Grado de Precisinn=N de vrtices de la poligonal

Valores de a:Primer Orden1.015'Segundo Orden 2.030'90Tercer Orden3.060'Cuarto Orden4.090'Quinto Orden5.0120'Ta =90'54Ta =201'0.055901699437495

5. COMPENSACION ANGULAR

Angulo de compensacin(Ac)

Ac =Angulo de errorAc =21851' N de Lados5

Ac =02746.20"0.46283333333

Angulo< E1 =1292051'+ 02746.20" =1294837.20'129.81033333< E2 =902624'+ 02746.20" =905410.20'90.90283333