CLCULO DE LA LONGITUD DE LA BASE

PV

DESNIVEL ( H) LONGITUD (L) m. CORRECCIONESPROMEDIOIDA VUELTA IDA VUELTA IDA VUELTA

H H L LA-1 0.9090 1.8640 0.9550 1.8920 0.9480 0.9440 0.620 20.810 20.190 0.570 20.850 20.280 20.235 -0.02259 0.00151 -0.00127 -0.02197 0.00152 -0.00129 -0.0223 0.00151-2 1.2030 1.7640 0.5610 1.7650 1.1480 0.6170 0.350 20.810 20.460 1.030 21.380 20.350 20.405 -0.00769 0.00153 -0.00132 -0.00935 0.00153 -0.00130 -0.0085 0.00152-3 1.2010 1.6440 0.4430 1.6700 1.2350 0.4350 0.400 20.530 20.130 0.550 20.760 20.210 20.170 -0.00487 0.00151 -0.00126 -0.00468 0.00152 -0.00127 -0.0048 0.00153-4 1.0810 1.6720 0.5910 1.7680 1.7770 -0.0090 0.340 20.550 20.210 0.860 21.120 20.260 20.235 -0.00864 0.00152 -0.00127 0.00000 0.00152 -0.00128 -0.0043 0.00154-5 0.6400 2.0340 1.3940 1.3950 0.0800 1.3150 0.450 20.720 20.270 0.420 20.730 20.310 20.290 -0.04793 0.00152 -0.00128 -0.04257 0.00152 -0.00129 -0.0453 0.00155-6 0.9310 1.5090 0.5780 1.6120 1.6350 -0.0230 0.420 20.790 20.370 0.400 20.720 20.320 20.345 -0.00820 0.00153 -0.00130 -0.00001 0.00152 -0.00129 -0.0041 0.00156-7 0.7300 1.5130 0.7830 1.5410 0.7580 0.7830 0.730 21.190 20.460 0.360 20.800 20.440 20.450 -0.01498 0.00153 -0.00132 -0.01500 0.00153 -0.00132 -0.0150 0.00157-8 0.8470 1.6310 0.7840 1.7780 0.9900 0.7880 0.440 20.860 20.420 0.400 20.840 20.440 20.430 -0.01505 0.00153 -0.00131 -0.01519 0.00153 -0.00132 -0.0151 0.00158-9 0.7730 1.0410 0.2680 1.6950 1.3110 0.3840 0.650 21.700 21.050 0.320 20.740 20.420 20.735 -0.00171 0.00158 -0.00144 -0.00361 0.00153 -0.00131 -0.0027 0.0016

9-10 0.8670 1.2060 0.3390 1.4560 1.0600 0.3960 0.610 21.800 21.190 0.620 21.300 20.680 20.935 -0.00271 0.00159 -0.00147 -0.00379 0.00155 -0.00136 -0.0033 0.001610-B 1.2870 1.4770 0.1900 1.6680 1.4790 0.1890 0.480 23.800 23.320 0.610 23.860 23.250 23.285 -0.00077 0.00175 -0.00195 -0.00077 0.00174 -0.00194 -0.0008 0.0017

TOTAL 227.5150

ERROR (m)

Donde:, Correccin por horizontalidad T , Tensin, Correccin por tensin , Tensin, Correccin por catenaria W , Peso de la wincha de metal, Longitud media L , Longitud de cada tramo, Longitud corregida S , Seccin transversal de la wincha, Desnivel en cada tramo E , Mdulo de elasticidad

Lprom(m.)VAT(+) VAD(-) VAT(+) VAD(-) L1 L2 L1 L2 Ch CT CC Ch CT CC Ch CT

LONGITUD TOTALDE LA BASE (LAB)

To

Ch=( H )2

2 LCT=

(TT o )LS .E

Cc=W2L3

24T 2LC=LmCTCCCh

ChCTCCLmLCH B A

C

123

45

6

7

8

NM

H B A

Linea Base de Triangulacin

a

CLCULO DE LA LONGITUD DE LA BASE

PROMEDIO

-0.0013 20.2130-0.0013 20.3967-0.0013 20.1655-0.0013 20.2309-0.0013 20.2450-0.0013 20.3411-0.0013 20.4352-0.0013 20.4151-0.0014 20.7325-0.0014 20.9319-0.0019 23.2840

227.3909

ERROR (m) 0.1241

LONGITUDCORREGIDACC

LONGITUD TOTALDE LA BASE (LAB)

D

ANGULOS REDUCIDOS

EST. PV.

SERIE I SERIE II SERIE III SERIE IV

DD DI DD DI DD DI DD DI NGULOS

A

B 0 0 180 0 0 0 180 1 0 0 179 59 0 0 179 59 C 67 31 247 30 67 30 247 31 67 26 247 26 67 30 247 30 1 67 29 22.5000 67.4896D 114 26 294 25 114 26 294 28 114 22 294 22 114 26 294 25 8 46 55 48.7500 46.9302B 0 0 180 0 0 1 180 1 0 -1 179 57 0 0 180 0

B

C 0 0 180 0 0 0 179 59 0 0 179 59 0 0 180 0 D 41 5 221 4 41 4 221 3 41 4 221 3 41 5 221 3 3 41 4 7.5000 41.0688A 87 22 267 21 87 21 267 21 87 21 267 20 87 22 267 22 2 46 17 7.5000 46.2854C 0 1 180 0 0 0 179 59 0 1 180 0 0 0 180 1

C

D 0 0 180 0 0 0 180 0 0 0 179 59 0 0 180 1 A 61 38 241 39 61 37 241 39 61 37 241 37 61 39 241 40 5 61 38 15.0000 61.6375B 86 47 266 47 86 45 266 48 86 46 266 45 86 47 266 48 4 25 19 37.5000 25.3271D -1 0 180 1 -1 0 179 59 -1 0 179 59 0 0 180 1

D

A 0 0 179 59 0 0 180 1 0 0 179 59 0 0 180 1 B 19 20 199 17 19 17 199 22 19 20 199 16 19 20 199 21 7 19 19 7.5000 19.3188C 71 24 251 21 71 24 251 27 71 23 251 22 71 24 251 25 6 52 12 7.5000 52.2021A 0 0 179 59 -1 0 180 1 -1 0 179 59 0 0 180 1

NGULOS

1 67 29 22.50 67.48962 46 17 7.50 46.28543 41 4 7.50 41.06884 25 19 37.50 25.32715 61 38 15.00 61.63756 52 12 7.50 52.20217 19 19 7.50 19.31888 46 55 48.75 46.9302

i

i

B A

C

D

123

45

6

7

8

NM

B A

Linea Base de Triangulacin

a

COMPENSACIN DE NGULOS POR EL MTODO DE APROXIMACIONES SUCESIVAS

N Ord.CONDICIN GEOMTRICA CONDICIN TRIGONOMTRICA

NGULOS CORREGIDOSANG.(A) ANG.(B) ANG.(C)

d d2 V

1 67 29 22.5000 67.4896 67 27 25.7813 67.4572 67 28 23.9063 67.4733 9.96553148 0.00000087 7.626354E-013 43.257701 67 29 7.0800 67.48532 46 17 7.5000 46.2854 46 15 10.7812 46.2530 46 16 8.9062 46.2691 9.85889491 0.00000201 4.057236E-012 -99.774627 46 14 29.0400 46.24143 41 4 7.5000 41.0688 41 2 10.7812 41.0363 40 59 58.5937 40.9996 9.81693951 0.00000242 5.866897E-012 119.98009 41 1 58.4400 41.03294 25 19 37.5000 25.3271 25 17 40.7813 25.2947 25 15 28.5938 25.2579 9.63011666 0.00000446 1.991626E-011 -221.05933 25 11 47.4000 25.19655 61 38 15.0000 61.6375 61 36 18.2812 61.6051 61 35 20.1562 61.5889 9.94426383 0.00000114 1.297280E-012 56.418547 61 36 16.5600 61.60466 52 12 7.5000 52.2021 52 10 10.7813 52.1697 52 9 12.6563 52.1535 9.89743876 0.00000164 2.676345E-012 -81.035633 52 7 51.6000 52.13107 19 19 7.5000 19.3188 19 17 10.7812 19.2863 19 19 22.9688 19.3230 9.51968890 0.00000600 3.605668E-011 297.43893 19 24 20.5200 19.40578 46 55 48.7500 46.9302 46 53 52.0312 46.8978 46 56 4.2187 46.9345 9.86366399 0.00000197 3.872797E-012 -97.48041 46 54 26.6400 46.9074

TOTAL 360 15 33.7500 360.2594 360 0 0 360.0000 360 0 0.0000 360.0000 39.24642372 39.25011432 7.450613E-011 360 0 17.28 360.00W 0.00369060 K 49534178.241

VRTICE LADONGULOS INTERNOS

DISTANCIA(m)

C BC (d) 86 48 3.96 86.8011 493.417192.7518 B AB (a) 87 16 27.48 87.2743 227.3909

108.5029 A DA (b) 114 23 33.72 114.3927 494.3054D CD (c) 71 32 12.12 71.5367 410.3342

3.93776 360 0 17.28 360.00 1625.45

Log.Seno(Impar)

Log.Seno(Par)

B A

C

D

123

4 5

6

7

8

NM

Linea Base de Triangulacin

a

d

c

b

a = 227.3909b = 494.3054c = 410.33555d = 493.41707

CLCULO DE COORDENADAS TOPOGRFICASy Nmero de lados(n): y Tolerancia angular(Ta): y Correccin de Coordena y Asumir valor inicial(Vi)

n 4 k 20 Cx Cy Vi 500 NOTA :0.0233 0.0925 Ingresar datos en las celdas

y Error angular(Ea): Ta 40 0.0108 0.0426 con fondo verdeEa 0.0048 y Comparacin del Ta y Ea: 0.0234 0.0926

Ea>Ta PROSEGUIR 0.0194 0.0769y Azimut(Az):

y Correccin de ngulos 180 0 0 Ca =Ea/n 0.0012

Ca =Ea/n 4.32 Segundos Az 180.0000

DESCRIPCIN COORDENADASN VRTICE LADO

NGULOS SIN COMPENSAR NG. COMPENSADOS AZIMUT(Az) RUMBO(Rb) PARCIALES CORREGIDAS

(Rb) X Y1 C CB 493.4171 86 48 3.96 86.8011 86 47 59.64 180 0 0.00 0 0 0.00 0 SO 0.0233 -493.32462 B BA 227.3909 87 16 27.48 87.2743 87 16 23.16 87 16 23.16 87 16 23.16 87.273 NE 227.1442 10.86083 A AD 494.3054 114 23 33.72 114.3927 114 23 29.40 21 39 52.56 21 39 52.56 21.665 NE 182.5074 459.48074 D DC 410.3342 71 32 12.12 71.5367 71 32 7.80 273 12 0.36 86 47 59.64 86.8 NO -409.6749 22.98315 6 7 8 9

10 TOTAL 1625.45 360 0 17 360.00 360 0 0.00 Facultad de Ing. Agrcola Ing. J.G.C 0.0000 0.0000

' "

DISTANCIA(m)

A

B C

D

ENM

CLCULO DE COORDENADAS TOPOGRFICAS

Ingresar datos en las celdas con fondo verde

COORDENADASTOTALES

X Y

500.0000 500.0000500.0233 6.6754727.1675 17.5362909.6749 477.0169500.0000 500.0000

Linea Baseng. ReducidosCond. Geom. y Trig.Coord. To.