¡Descarga EJERCICIOS DE POLIGONAL CERRADA y más Ejercicios en PDF de Topografía solo en Docsity!
PUNTO < MEDIDO (^) 3°FORMULA< Ca^ <CORREGIDO4°FORMULA 5°FORMULAZ^ 6°FORMULA RUMBO^ DISTANCIA (^) XPROYECCIONES Y^ XCORRECIONES Y^ X Pc^ Y 281395 COORDENADAS 8650790 A 53:29:15 0:03:17 53:32:33 354:00:00 1/14/1900 0:00 N 6:00:00 W 35.559 -3.7169 35.3642 -0.1082 0.0650 -3.8251 35.4292 281391.175 8650825. B 110:50:23 0:03:17 110:53:41 284:53:41 360:00:00 N 75:06:19 W 26.423 -25.5413 6.7688 -0.0804 0.0483 -25.6217 6.8171 281365.553 8650832. C 85:56:53 0:03:18 86:00:11 190:53:52 180:00:00 S 10:53:52 W 22.732 -4.3070 -22.3203 -0.0691 0.0416 -4.3761 -22.2787 281361.177 8650809. D 109:30:18 0:03:17 109:33:36 120:27:27 180:00:00 S 59:32:33 E 39.417 33.9427 -20.0397 -0.1199 0.0721 33.8229 -19.9677 281395.000 8650790. TOTAL 359:46:49 360:00:00 124.131 0.3776 -0.2269 -0.3776 0.2269 0.0000 0. n= 4.00 Solo para verificar que salem iguales en signo distinto ∆ x= D(SEN Z) C ∆x= (∑∆x)/Perimetro)D Pc= ∆x+C∆x COORDENADAS+Pc ∆ y= D(COS Z) C ∆y= (∑∆y)/Perimetro)D Total de <med 359 46 49 5°FORMULA 6°FORMULA 180 0 0 Z ∆x 1°FORMULA Ec= ZAB 354:00:00 + 354 0 0 354.0000 -3. Ec= 0°13'11.00'' 110:53:41 284 50 35 284.8431 -25. Ec= 0.2197 464:53:41 - 190 55 18 190.9217 -4. 180:00:00 120 33 27 120.5575 33. Precision del 0 10 0 ZBC 284:53:41 + 2°FORMULA Emp= 10'√n 86:00:11 Z ∆y Emp= 0°20'00.00'' 370:53:52 - 354 0 0 354.0000 35. Emp= 0.33333 180:00:00 284 50 35 284.8431 6. 0 13 11 ZCD 190:53:52 190 55 18 190.9217 -22. 3°FORMULA C= Ec/n 109:33:36 120 33 27 120.5575 -20. C= 0°03'17.75'' 300:27:28 - 180:00:00 EL= ZDA 120:27:27 EL= 0. 53:32:33 precision P= 1 2°FORMULA Emp= 174:00:00 + Perimetro Emp= 0°20'00.00'' 180:00:00 EL ZAB 354:00:00 P= (^1) 3°FORMULA Ca= Ec/n 124. Ca= 2/4 0. Ca= 0.5 1 1 P= 1 > 1 B 1.0 (^1 0 282 ) C 1.5 2 1 D 2.0 2 0 4°FORMULA <CORREGIDO = < MEDIDO±<Ca Z±0°HASTA360° ∑<campo-180°(n-2) √(0.038²)+(0.04²) (PE) √n
PUNTO < MEDIDO (^) 3°FORMULA< Ca^ <CORREGIDO4°FORMULA 5°FORMULAZ^ 6°FORMULA RUMBO^ DISTANCIA (^) X PROYECCIONESY^ XCORRECIONES Y X Pc^ Y X COORDENADASY A 53:26:34 0:00:01 53:26:33 354:00:00 360:00:00 N 6:00:00 W 35.569 -3.718 35.374 0.005 -0.002 -3.713 35.372 281,395.000 8,650,790. B (^) 110:50:35 0:00:00 110:50:35 284:50:35 360:00:00 N 75:09:25 W 26.449 -25.566 6.775 0.004 -0.002 -25.563 6.774 281,391.287 8,650,825. C 86:04:44 0:00:01 86:04:43 190:55:18 180:00:00 S 10:55:18 W 22.732 -4.307 -22.320 0.003 -0.001 -4.304 -22.322 281,365.725 8,650,832. D 109:38:09 0:00:00 109:38:09 120:33:27 180:00:00 S 59:26:33 E 38.988 33.573 -19.822 0.006 -0.002 33.579 -19.824 281,361.421 8,650,809. TOTAL (^) 360:00:02 360:00:00 123.738 -0.018 0.008 0.018 -0.008 0.000 0.000 281,395.000 8,650,790. n= 4.00 Solo para verificar que salem iguales en signo distinto ∆ x= D(SEN Z) C ∆x= (∑∆x)/Perimetro)D Pc= ∆x+C∆x COORDENADAS+Pc ∆ y= (^) D(COS Z) C ∆y= (^) (∑∆y)/Perimetro)D Total de <med 360 0 2 5°FORMULA 6°FORMULA 180 0 0 INICIAMOS MULTIPLICANDO LOS VALORES DE ESTE POR LOS VALORES DEL NORTE Z ∆x 1°FORMULA Ec= ZAB 354:00:00 + 354 0 0 354.0000 -3.7180 ESTE (X) NORTE(Y) MULTIPLICANDO CRUZADO Ec= 0°00'02.00'' 110:50:35 284 50 35 284.8431 -25.5664 95.000 790. Ec= 2.00 464:50:35 - 190 55 18 190.9217 -4.3070 91.287 825.372 95 X 825.372= 78410. Precision del 0 0 5 180:00:00 120 33 27 120.5575 33.5733 65.725 832.146 91.287 X 832.146= 75964. ZBC 284:50:35 + 61.421 809.824 65.725 X 809.824= 53225. 2°FORMULA Emp= 86:04:43 Z ∆y 95.000 790.000 61.421 X 790= 48522. Emp= 0°00'10.00'' 370:55:18 - 354 0 0 354.0000 35.3741 ∑∆x= 256122. 180:00:00 284 50 35 284.8431 6. 3°FORMULA Ca= Ec/n ZCD 190:55:18 190 55 18 190.9217 -22.3203 INICIAMOS MULTIPLICANDO LOS VALORES DE NORTE POR LOS VALORES DEL ESTE Ca= 2/4 109:38:09 120 33 27 120.5575 -19. Ca= 0.5 1 1 300:33:27 - ESTE (X) NORTE(Y) MULTIPLICANDO CRUZADO B 1.0 1 0 180:00:00 error lineal EL= 95.000 790. C 1.5 2 1 ZDA 120:33:27 EL= 0.020 91.287 825.372 790 X 91.287= 72116. D 2.0 2 0 53:26:33 precision P= 1 65.725 832.146 825.372 X 65.725= 54247. 174:00:00 + Perimetro 61.421 809.824 832.146 X 61.421= 51111. 4°FORMULA <CORREGIDO = < MEDIDO±<Ca 180:00:00 EL 95.000 790.000 809.824 X 95= 76933. ZAB 354:00:00 P= 1 ∑∆Y= 254408.
0.01964 AREA: (256122.724 - 254408.824)2= 856. P= 1 > 1 6299.224 5000 Z±0°HASTA360° ∑<campo-180°(n-2) (PE) √n √(0.038²)+(0.04²) 8,650,760.000 281,340.000 281,360.000 281,380.000 281,400. 8,650,770. 8,650,780. 8,650,790. 8,650,800. 8,650,810. 8,650,820. 8,650,830. 8,650,840. Chart Title
RUMBO
DISTANCIA
PROYECCIONES CORRECIONES
X Y X Y
6:00:00 W 35.568 -3.7179 35.3732 -0.0001 0.
75:09:25 W 26.438 -25.5558 6.7727 -0.0001 0.
10:55:18 W 22.732 -4.3070 -22.3203 -0.0001 0.
59:26:33 E 38.997 33.5811 -19.8262 -0.0001 0.
Solo para verificar que salem iguales en signo distinto ∆ x= D(SEN Z) C ∆x= (∑∆x)/Perimetro)D ∆ y= D(COS Z) C ∆y= (∑∆y)/Perimetro)D 6°FORMULA Z ∆x 354 0 0 354.0000 -3. 284 50 35 284.8431 -25. 190 55 18 190.9217 -4. 120 33 27 120.5575 33. Z ∆y 354 0 0 354.0000 35. 284 50 35 284.8431 6. 190 55 18 190.9217 -22. 120 33 27 120.5575 -19. EL= EL= 0. precision P= 1 Perimetro EL P= 1
P= 1 > 1 163648 5000
Z±0°HASTA360°
Pc COORDENADAS X Y 281395 8650790 -3.7180 35.3733 281391.282 8650825. -25.5559 6.7728 281365.726 8650832. -4.3070 -22.3201 281361.419 8650809. 33.5809 -19.8260 281395.000 8650790. 0.0000 0. Pc= ∆x+C∆x COORDENADAS+Pc
RUMBO
DISTANCIA
PROYECCIONES CORRECIONES
X Y X Y
42:56:14 E 108.805 74.118 -79.656 -0.005 0.
6:30:04 W 96.753 -10.955 96.131 -0.004 0.
30:51:50 W 106.709 -54.742 91.598 -0.005 0.
43:10:00 W 31.858 -21.795 -23.236 -0.001 0.
8:58:08 E 85.912 13.394 -84.862 -0.004 0.
Solo para verificar que salem iguales en signo distinto ∆ x= D(SEN Z) C ∆x= (∑∆x)/Perimetro)D ∆ y= D(COS Z) C ∆y= (∑∆y)/Perimetro)D 6°FORMULA Z ∆x 137 3 46 137.0628 74. 353 29 56 353.4989 -10. 329 8 10 329.1361 -54. 223 10 0 223.1667 -21. 171 1 52 171.0311 13. Z ∆y 137 3 46 137.0628 -79. 353 29 56 353.4989 96. 329 8 10 329.1361 91. 223 10 0 223.1667 -23. 171 1 52 171.0311 -84. EL= EL= 0. precision P= 1 Perimetro EL P= 1
P= 1 > 1 13339 5000
Z±0°HASTA360°
Pc COORDENADAS
PUNTO < MEDIDO
< Ca <CORREGIDO Z RUMBO 3°FORMULA 4°FORMULA 5°FORMULA 6°FORMULA A 86:56:20 0:00:02 86:56:22 113:13:24 180:00:00 S B 162:00:10 0:00:02 162:00:12 95:13:36 180:00:00 S C 119:25:14 0:00:02 119:25:16 34:38:52 N D 74:49:34 0:00:02 74:49:36 289:28:28 360:00:00 N E 96:48:32 0:00:02 96:48:34 206:17:02 180:00:00 S TOTAL 539:59:50 540:00: n= 5. Total de <med 539 59 50 5°FORMULA 180 0 0 1°FORMULA Ec= ZAB 113:13:24 + Ec= 0°00'10.00'' 162:00: Ec= 10.000 275:13:36 - Precision del 0 0 5 180:00: ZBC 95:13:36 + 2°FORMULA Emp= 119:25: Emp= 0°00'11.18'' 214:38:52 - 180:00: 3°FORMULA Ca= Ec/n ZCD 34:38: Ca= 2.00 74:49: A 2.0 2 2 109:28:28 + B 4.0 4 2 180:00: C 6.0 6 2 ZDE 289:28: D 8.0 8 2 96:48: E 10.0 10 2 386:17:02 - 180:00: 4°FORMULA <CORREGIDO = < MEDIDO±<Ca ZEA 206:17: 86:56: 293:13:24 - 180:00: ZAB 113:13: ∑<campo-180°(n-2) (PE) √n
RUMBO
DISTANCIA
PROYECCIONES CORRECIONES
X Y X Y
113:13:24 E 38.200 35.105 -15.063 0.004 -0.
84:46:24 E 53.400 53.178 -4.865 0.005 -0.
34:38:52 E 96.200 54.693 79.140 0.009 -0.
70:31:32 W 102.750 -96.872 34.255 0.010 -0.
26:17:02 W 104.200 -46.142 -93.427 0.010 -0.
Solo para verificar que salem iguales en signo distinto ∆ x= D(SEN Z) C ∆x= (∑∆x)/Perimetro)D ∆ y= D(COS Z) C ∆y= (∑∆y)/Perimetro)D 6°FORMULA Z ∆x 113 13 24 113.2233 35. 95 13 36 95.2267 53. 34 38 52 34.6478 54. 289 28 28 289.4744 -96. 206 17 2 206.2839 -46. Z ∆y 113 13 24 113.2233 -15. 95 13 36 95.2267 -4. 34 38 52 34.6478 79. 289 28 28 289.4744 34. 206 17 2 206.2839 -93. EL= EL= 0. precision P= 1 Perimetro EL P= 1
P= 1 > 1 7027 5000
Z±0°HASTA360°
PUNTO < MEDIDO
< Ca <CORREGIDO Z RUMBO 3°FORMULA 4°FORMULA 5°FORMULA 6°FORMULA A 53:26:34 0:00:01 53:26:33 354:00:00 360:00:00 N B 110:50:35 0:00:00 110:50:35 284:50:35 360:00:00 N C 86:04:44 0:00:01 86:04:43 190:55:18 180:00:00 S D 109:38:09 0:00:00 109:38:09 120:33:27 180:00:00 S TOTAL 360:00:02 360:00: n= 4. Total de <med 360 0 2 5°FORMULA 180 0 0 1°FORMULA Ec= ZAB 354:00:00 + Ec= 0°00'02.00'' 110:50: Ec= 2.00 464:50:35 - Precision del 0 0 5 180:00: ZBC 284:50:35 + 2°FORMULA Emp= 86:04: Emp= 0°00'10.00'' 370:55:18 - 180:00: 3°FORMULA Ca= Ec/n ZCD 190:55: Ca= 2/4 109:38: Ca= 0.5 1 1 300:33:27 - B 1.0 1 0 180:00: C 1.5 2 1 ZDA 120:33: D 2.0 2 0 53:26: 174:00:00 + 4°FORMULA <CORREGIDO = < MEDIDO±<Ca 180:00: ZAB 354:00: ∑<campo-180°(n-2) (PE) √n
RUMBO
DISTANCIA
PROYECCIONES CORRECIONES
X Y X Y
6:00:00 W 170.555 -37.870 166.298 0.002 -0.
75:09:25 W 297.599 -181.210 -236.068 0.003 -0.
10:55:18 W 288.988 288.913 6.591 0.003 -0.
59:26:33 E 94.195 -69.842 63.204 0.001 -0.
Solo para verificar que salem iguales en signo distinto ∆ x= D(SEN Z) C ∆x= (∑∆x)/Perimetro)D ∆ y= D(COS Z) C ∆y= (∑∆y)/Perimetro)D 6°FORMULA Z ∆x 347 10 16 347.171 -37. 217 30 38 217.511 -181. 88 41 35 88.693 288. 312 8 37 312.144 -69. -0. Z ∆y 347 10 16 347.171 166. 217 30 38 217.511 -236. 88 41 35 88.693 6. 312 8 37 312.144 63.
error lineal EL= EL= 0. precision P= 1 Perimetro EL P= 1
P= 1 > 1 31526.565 5000
Z±0°HASTA360°
PUNTO < MEDIDO
< Ca <CORREGIDO Z RUMBO 3°FORMULA 4°FORMULA 5°FORMULA 6°FORMULA A 98:37:32 0:00:12 98:37:44 17:10:07 180:00:00 S B 118:02:00 0:00:12 118:02:12 315:12:19 360:00:00 N C 108:17:17 0:00:12 108:17:29 243:29:48 360:00:00 N D 130:44:55 0:00:12 130:45:07 194:14:55 180:00:00 S E 84:17:16 0:00:12 84:17:28 98:32:23 180:00:00 S TOTAL 539:59:00 540:00: n= 5. Total de <med 539 59 0 5°FORMULA 180 0 0 1°FORMULA Ec= ZAB 17:10:07 + Ec= 0°01'00.00'' 118:02: Ec= 60.000 135:12:19 + Precision del 0 0 30 180:00: ZBC 315:12:19 + 2°FORMULA Emp= 108:17: Emp= 0°01'07.08'' 423:29:48 - 180:00: 3°FORMULA Ca= Ec/n ZCD 243:29: Ca= 12.00 130:45: A 12.0 1 1 374:14:55 - B 24.0 3 2 180:00: C 36.0 4 1 ZDE 194:14: D 48.0 6 2 84:17: E 60.0 7 1 278:32:23 - 180:00: 4°FORMULA <CORREGIDO = < MEDIDO±<Ca ZEA 98:32: 98:37: 197:10:07 - 180:00: ZAB 17:10: ∑<campo-180°(n-2) (PE) √n
Pc COORDENADAS X Y 36.564 118.334 288,389.580 8,656,266. -101.130 101.854 288,426.144 8,656,384. -146.815 -73.220 288,325.014 8,656,486. -28.179 -110.984 288,178.199 8,656,413. 239.560 -35.984 288,150.020 8,656,302. 0.000 0. Pc= ∆x+C∆x COORDENADAS+Pc INICIAMOS MULTIPLICANDO LOS VALORES DE ESTE POR LOS VALORES DEL NORTE ESTE (X) NORTE(Y)^ MULTIPLICANDO CRUZADO 389.580 266. 426.144 384.914 95 X 825.372= 149954. 325.014 486.768 91.287 X 832.146= 207433. 178.199 413.548 65.725 X 809.824= 134408. 150.020 302.564 61.421 X 790= 53916. 389.580 266.580 61.421 X 790= 39992. ∑∆x= 585705. INICIAMOS MULTIPLICANDO LOS VALORES DE NORTE POR LOS VALORES DEL ESTE ESTE (X) NORTE(Y) MULTIPLICANDO CRUZADO 389.580 266. 426.144 384.914 790 X 91.287= 113601. 325.014 486.768 825.372 X 65.725= 125102. 178.199 413.548 832.146 X 61.421= 86741. 150.020 302.564 809.824 X 95= 62040. 389.580 266.580 809.824 X 95= 117872. ∑∆Y= 505358. AREA: 724 - 254408.824= 40173.
