104
CURVA CIRCULAR Abscisa Inicial (m) : K0+670.00 Coordenadas Punto Inicial (N-E) : 52.100 99.400 Azimut de Entrada (g,m,s) : 44,15,20 Coordenadas Punto Final (N-E) : 9.750 503.960 Azimut de Salida (g,m,s) : 120 Radio (m) : 148.97 Sentido : Derecha Incremento en Abscisado (m) : 10 Coordenadas Equipo de Precisión Punto N E PC 91.501 137.790 Coordenadas Punto Cero Punto N E Norte 101.501 137.790 ELEMENTOS DE LA CURVA Delta : 75°44'40.0" Longitud Total (m) : 465.553 Longitud Circular (m) : 196.937 Tangente (m) : 115.854 Cuerda Larga (m) : 182.906 Externa (m) : 39.747 Coordenadas (m) Abscisa Norte Este PI : 174.480 218.640 PC : 725.01 91.501 137.790 PT : 921.95 116.553 318.973 Centro : -12.459 244.488 Coordenadas Tipo de Punto Abscisa N E Punto Inicial 670.000 52.100 99.400 680 59.262 106.379 690 66.425 113.357 700 73.587 120.336 710 80.749 127.314 720 87.912 134.293 PC 725.011 91.501 137.790 730 95.015 141.331 740 101.693 148.772 750 107.856 156.645 760 113.477 164.913 770 118.531 173.540 780 122.995 182.486 790 126.849 191.711 800 130.075 201.175 810 132.659 210.833 INFORMACION DE LA CURVA INFORMACION PARA LOCALIZACION 0 20 40 60 80 100 120 140 160

calculo de curvas horizontales y verticales

Embed Size (px)

DESCRIPTION

hoja de calculo para obtener curvas en un camino

Citation preview

Page 1: calculo de curvas horizontales y verticales

CURVA CIRCULARAbscisa Inicial (m) : K0+670.00

Coordenadas Punto Inicial (N-E) : 52.100 99.400

Azimut de Entrada (g,m,s) : 44,15,20

Coordenadas Punto Final (N-E) : 9.750 503.960

Azimut de Salida (g,m,s) : 120

Radio (m) : 148.97

Sentido : Derecha

Incremento en Abscisado (m) : 10

Coordenadas Equipo de Precisión

Punto N EPC 91.501 137.790

Coordenadas Punto Cero

Punto N ENorte 101.501 137.790

EL

EM

EN

TO

S D

E L

A C

UR

VA

Delta : 75°44'40.0"Longitud Total (m) : 465.553

Longitud Circular (m) : 196.937Tangente (m) : 115.854

Cuerda Larga (m) : 182.906Externa (m) : 39.747

Coordenadas (m)

Abscisa Norte Este

PI : 174.480 218.640

PC : 725.01 91.501 137.790

PT : 921.95 116.553 318.973

Centro : -12.459 244.488

Coordenadas Localización

Tipo de Punto Abscisa N E

Punto Inicial 670.000 52.100 99.400 224°15'20.0"680 59.262 106.379 224°15'20.0"690 66.425 113.357 224°15'20.0"700 73.587 120.336 224°15'20.0"710 80.749 127.314 224°15'20.0"720 87.912 134.293 224°15'20.0"

PC 725.011 91.501 137.790 0°0'0.0"730 95.015 141.331 45°12'53.7"740 101.693 148.772 47°8'16.8"750 107.856 156.645 49°3'39.8"760 113.477 164.913 50°59'2.8"770 118.531 173.540 52°54'25.9"780 122.995 182.486 54°49'48.9"790 126.849 191.711 56°45'11.9"800 130.075 201.175 58°40'35.0"810 132.659 210.833 60°35'58.0"

INF

OR

MA

CIO

N D

E L

A

CU

RV

A

INF

OR

MA

CIO

N

PA

RA

L

OC

AL

IZA

CIO

N

a positivo

50 100 150 200 250 300 350 400 450 500 550

0

20

40

60

80

100

120

140

160

Curva Circular

Calcular

C3
Norte (m)
D3
Este (m)
C5
Norte (m)
D5
Este (m)
Page 2: calculo de curvas horizontales y verticales

820 134.590 220.643 62°31'21.0"830 135.858 230.560 64°26'44.1"840 136.458 240.540 66°22'7.1"850 136.388 250.538 68°17'30.1"860 135.647 260.509 70°12'53.1"870 134.238 270.407 72°8'16.2"880 132.169 280.189 74°3'39.2"890 129.449 289.810 75°59'2.2"900 126.089 299.227 77°54'25.3"910 122.105 308.397 79°49'48.3"920 117.516 317.279 81°45'11.3"

PT 921.948 116.553 318.973 82°7'40.0"930 112.527 325.946 83°37'25.9"940 107.527 334.606 85°20'41.9"950 102.527 343.266 86°55'42.6"960 97.527 351.926 88°23'17.4"970 92.527 360.587 89°44'10.5"980 87.527 369.247 90°59'1.4"990 82.527 377.907 92°8'25.5"

1000 77.527 386.568 93°12'54.2"1010 72.527 395.228 94°12'55.2"1020 67.527 403.888 95°8'53.6"1030 62.527 412.548 96°1'11.4"1040 57.527 421.209 96°50'8.3"1050 52.527 429.869 97°36'1.9"1060 47.527 438.529 98°19'8.0"1070 42.527 447.189 98°59'40.7"1080 37.527 455.850 99°37'52.6"1090 32.527 464.510 100°13'55.1"1100 27.527 473.170 100°47'58.3"1110 22.527 481.830 101°20'11.6"1120 17.527 490.491 101°50'43.3"1130 12.527 499.151 102°19'40.8"

Punto Final 1135.553 9.750 503.960 102°35'7.6"

Page 3: calculo de curvas horizontales y verticales

Localización

Distancia _pline55.011 99.4000,52.100045.011 106.37859911,59.262342835.011 113.35719822,66.4246856125.011 120.33579733,73.5870284115.011 127.31439645,80.74937122

5.011 134.29299556,87.911714020.000 137.79013847,91.500935294.989 141.33076738,95.01510032

14.982 148.77217795,101.6925147424.959 156.6447312,107.8557411734.908 164.9129658,113.4770178344.818 173.53963813,118.5310240954.677 182.48588998,122.9949945864.475 191.71142364,126.8488216774.200 201.17468341,130.075146183.841 210.83304273,132.65943513

50 100 150 200 250 300 350 400 450 500 550

0

20

40

60

80

100

120

140

160

Curva Circular

Calcular

Page 4: calculo de curvas horizontales y verticales

93.388 220.64299628,134.59004803102.829 230.56035584,135.85828849112.155 240.54044944,136.45844383121.355 250.5383225,136.38781069130.418 260.50894035,135.64670723139.334 270.4073911,134.2384717148.093 280.18908794,132.16944738156.685 289.80996996,129.44895405165.100 299.22670061,126.08924595173.330 308.39686295,122.10545663181.364 317.27915068,117.51553078182.906 318.97255922,116.55254873189.327 325.94572531,112.52658941197.467 334.60597935,107.52658941205.772 343.26623339,102.52658941214.221 351.92648742,97.52658941222.799 360.58674146,92.52658941231.491 369.2469955,87.52658941240.285 377.90724954,82.52658941249.170 386.56750358,77.52658941258.136 395.22775761,72.52658941267.176 403.88801165,67.52658941276.282 412.54826569,62.52658941285.447 421.20851973,57.52658941294.667 429.86877376,52.52658941303.937 438.5290278,47.52658941313.251 447.18928184,42.52658941322.607 455.84953588,37.52658941332.000 464.50978992,32.52658941341.427 473.17004395,27.52658941350.886 481.83029799,22.52658941360.375 490.49055203,17.52658941369.890 499.15080607,12.52658941375.185 503.9600,9.7500

_circle 137.79013847,91.50093529 10_circle 318.97255922,116.55254873 10

Page 5: calculo de curvas horizontales y verticales

CURVA ESPIRAL-CIRCULO-ESPIRALIN

FO

RM

AC

ION

DE

LA

CU

RV

A

Tipo de Espiral : Espiral-Circulo-EspiralAbscisa Inicial (m) : K0+460.97

Coordenadas Punto Inicial (N-E) : 1000.000 50.000

Azimut de Entrada (g,m,s) : 42

Coordenadas Punto Final (N-E) : 1000.000 1000.000

Azimut de Salida (g,m,s) : 125

Espiral Entrada (m) : 200.000 Parametro

Radio Circular (m) : 200.000

Centro Circular (N-E) :Espiral Salida (m) : Parametro

Sentido : Derecha

Incremento en Abscisado (m) : 10

Coordenadas Equipo de Precisión

Punto N ETE 1203.537 233.266

Coordenadas Punto Cero

Punto N EPI 1407.979 417.346

EL

EM

EN

TO

S D

E L

A C

UR

VA

Entrada (m) Salida (m)

Delta : 83°0'0.0"

Longitud Total : 1189.634

Longitud Espiral : 200.000 0.000Parámetro Espiral : 200.000 0.275

Oe : 28°38'52.4" 0°0'0.2"Delta C : 54°21'7.4"

Xc : 195.058 0.000Yc : 32.743 0.000

Xm : 99.172 0.000Disloque : 8.259 0.000

Te : 275.103 185.267Lc : 189.724

Coordenadas

Abscisa Norte Este

PI : 1407.979 417.346

TE : 734.86 1203.537 233.266

EC : 934.86 1326.584 388.117

CE: 1124.58 1301.715 569.107

ET : 1124.58 1301.714 569.107

Centro : 1137.884 454.392

INF

OR

MA

CIO

N

PA

RA

L

OC

AL

IZA

CIO

N

0 200 400 600 800 1000 1200

0

200

400

600

800

1000

1200

1400

1600

Curva Espiral-Círculo-Espiral

C4
Norte (m)
D4
Este (m)
C6
Norte (m)
D6
Este (m)
C10
Norte (m)
D10
Este (m)
Page 6: calculo de curvas horizontales y verticales

Coordenadas

Tipo de Punto Abscisa N E

Punto Inicial 460.970 1000.000 50.000470 1006.711 56.042480 1014.142 62.734490 1021.573 69.425500 1029.005 76.116510 1036.436 82.807520 1043.868 89.499530 1051.299 96.190540 1058.731 102.881550 1066.162 109.573560 1073.594 116.264570 1081.025 122.955580 1088.457 129.647590 1095.888 136.338600 1103.319 143.029610 1110.751 149.721620 1118.182 156.412630 1125.614 163.103640 1133.045 169.794650 1140.477 176.486660 1147.908 183.177670 1155.340 189.868680 1162.771 196.560690 1170.202 203.251700 1177.634 209.942710 1185.065 216.634720 1192.497 223.325730 1199.928 230.016

TE 734.856 1203.537 233.266740 1207.359 236.708750 1214.781 243.410760 1222.178 250.139770 1229.532 256.915780 1236.827 263.756790 1244.044 270.678800 1251.164 277.699810 1258.169 284.835820 1265.039 292.101830 1271.753 299.512840 1278.289 307.081850 1284.623 314.818860 1290.732 322.735

Page 7: calculo de curvas horizontales y verticales

870 1296.590 330.839880 1302.172 339.136890 1307.448 347.630900 1312.391 356.322910 1316.971 365.210920 1321.158 374.291930 1324.920 383.555

EC 934.856 1326.584 388.117940 1328.226 392.992950 1331.057 402.582960 1333.405 412.301970 1335.264 422.126980 1336.630 432.031990 1337.499 441.992

1000 1337.870 451.9841010 1337.740 461.9821020 1337.111 471.9611030 1335.984 481.8961040 1334.361 491.7631050 1332.248 501.5361060 1329.649 511.1911070 1326.571 520.7051080 1323.021 530.0521090 1319.008 539.2111100 1314.542 548.1571110 1309.635 556.8691120 1304.299 565.325

CE 1124.581 1301.715 569.107ET 1124.581 1301.714 569.107

1130 1298.606 573.5461140 1292.870 581.7381150 1287.135 589.9291160 1281.399 598.1211170 1275.663 606.3121180 1269.927 614.5041190 1264.192 622.6951200 1258.456 630.8871210 1252.720 639.0781220 1246.984 647.2701230 1241.249 655.4611240 1235.513 663.6531250 1229.777 671.8441260 1224.041 680.0361270 1218.305 688.2271280 1212.570 696.419

Page 8: calculo de curvas horizontales y verticales

1290 1206.834 704.6101300 1201.098 712.8021310 1195.362 720.9941320 1189.627 729.1851330 1183.891 737.3771340 1178.155 745.5681350 1172.419 753.7601360 1166.684 761.9511370 1160.948 770.1431380 1155.212 778.3341390 1149.476 786.5261400 1143.741 794.7171410 1138.005 802.9091420 1132.269 811.1001430 1126.533 819.2921440 1120.798 827.4831450 1115.062 835.6751460 1109.326 843.8661470 1103.590 852.0581480 1097.854 860.2491490 1092.119 868.4411500 1086.383 876.6321510 1080.647 884.8241520 1074.911 893.0151530 1069.176 901.2071540 1063.440 909.3981550 1057.704 917.5901560 1051.968 925.7821570 1046.233 933.9731580 1040.497 942.1651590 1034.761 950.3561600 1029.025 958.5481610 1023.290 966.7391620 1017.554 974.9311630 1011.818 983.1221640 1006.082 991.3141650 1000.346 999.505

Punto Final 1650.604 1000.000 1000.000

Page 9: calculo de curvas horizontales y verticales

0 200 400 600 800 1000 1200

0

200

400

600

800

1000

1200

1400

1600

Curva Espiral-Círculo-Espiral

Calcular

Page 10: calculo de curvas horizontales y verticales

Localización

Distancia _pline180°0'0.0" 273.886 50.0000,1000.0000180°0'0.0" 264.856 56.04224938,1006.71059777180°0'0.0" 254.856 62.73355544,1014.14204603180°0'0.0" 244.856 69.4248615,1021.57349428180°0'0.0" 234.856 76.11616757,1029.00494254180°0'0.0" 224.856 82.80747363,1036.43639079180°0'0.0" 214.856 89.49877969,1043.86783905180°0'0.0" 204.856 96.19008576,1051.2992873180°0'0.0" 194.856 102.88139182,1058.73073556180°0'0.0" 184.856 109.57269788,1066.16218381180°0'0.0" 174.856 116.26400395,1073.59363207180°0'0.0" 164.856 122.95531001,1081.02508032180°0'0.0" 154.856 129.64661607,1088.45652858180°0'0.0" 144.856 136.33792214,1095.88797683180°0'0.0" 134.856 143.0292282,1103.31942509180°0'0.0" 124.856 149.72053427,1110.75087334180°0'0.0" 114.856 156.41184033,1118.1823216180°0'0.0" 104.856 163.10314639,1125.61376985180°0'0.0" 94.856 169.79445246,1133.04521811180°0'0.0" 84.856 176.48575852,1140.47666636180°0'0.0" 74.856 183.17706458,1147.90811461180°0'0.0" 64.856 189.86837065,1155.33956287180°0'0.0" 54.856 196.55967671,1162.77101112180°0'0.0" 44.856 203.25098277,1170.20245938180°0'0.0" 34.856 209.94228884,1177.63390763180°0'0.0" 24.856 216.6335949,1185.06535589180°0'0.0" 14.856 223.32490097,1192.49680414180°0'0.0" 4.856 230.01620703,1199.9282524318°0'0.0" 0.000 233.26573031,1203.537213620°0'22.7" 5.144 236.70793444,1207.359321190°3'17.1" 15.144 243.40956445,1214.781457050°9'3.3" 25.144 250.13924064,1222.17816214

0°17'41.5" 35.143 256.91526977,1229.532409570°29'11.5" 45.142 263.75563781,1236.826826940°43'33.4" 55.140 270.67787638,1244.043564621°0'47.1" 65.136 277.69892319,1251.16416971

1°20'52.7" 75.127 284.83497515,1258.169467631°43'50.0" 85.113 292.10133272,1265.039453192°9'39.0" 95.090 299.51223422,1271.75319328

2°38'19.7" 105.054 307.08067927,1278.28874343°9'51.8" 115.003 314.81824053,1284.6230805

3°44'15.2" 124.931 322.73486327,1290.73205471

a positivo

Page 11: calculo de curvas horizontales y verticales

4°21'29.7" 134.831 330.83865274,1296.590362835°1'34.8" 144.697 339.13564971,1302.17154653

5°44'30.4" 154.520 347.62959479,1307.448018396°30'15.8" 164.292 356.32168298,1312.391119127°18'50.5" 174.002 365.21031025,1316.971209328°10'13.9" 183.637 374.29081468,1321.157799139°4'25.1" 193.186 383.55521531,1324.91971923

9°31'44.3" 197.787 388.11734681,1326.5839963110°1'22.6" 202.632 392.99177579,1328.2258753311°0'53.8" 211.965 402.58163851,1331.056723512°2'37.8" 221.177 412.30099984,1333.4047404813°6'17.3" 230.261 422.12556644,1335.26405744

14°11'37.6" 239.210 432.03078201,1336.6300270615°18'26.4" 248.017 441.99188866,1337.4992351216°26'33.4" 256.677 451.98398882,1337.8695090717°35'49.5" 265.182 461.98210744,1337.7399234118°46'7.3" 273.528 471.96125443,1337.11080203

19°57'20.2" 281.708 481.89648713,1335.9837174221°9'22.5" 289.717 491.76297261,1334.3614866922°22'9.1" 297.549 501.53604982,1332.24816458

23°35'35.9" 305.200 511.19129114,1329.6490332924°49'38.9" 312.663 520.7045635,1326.5705892926°4'14.7" 319.935 530.05208867,1323.02052711

27°19'20.5" 327.010 539.21050271,1319.0077200328°34'53.4" 333.884 548.15691436,1314.5421979929°50'51.1" 340.552 556.86896223,1309.6351224631°7'11.5" 347.010 565.32487076,1304.29875859

31°42'16.7" 349.897 569.1070071,1301.7145217931°42'16.9" 349.898 569.10731713,1301.714304732°23'25.7" 353.311 573.54615373,1298.6061978633°37'17.3" 359.740 581.73767417,1292.8704334934°48'31.4" 366.330 589.92919462,1287.1346691335°57'12.7" 373.071 598.12071506,1281.3989047737°3'26.2" 379.955 606.3122355,1275.663140438°7'16.9" 386.976 614.50375594,1269.9273760439°8'49.9" 394.125 622.69527639,1264.1916116840°8'10.2" 401.396 630.88679683,1258.4558473141°5'22.9" 408.782 639.07831727,1252.7200829542°0'32.8" 416.278 647.26983772,1246.98431858

42°53'44.8" 423.877 655.46135816,1241.2485542243°45'3.7" 431.573 663.6528786,1235.51278986

44°34'34.0" 439.363 671.84439905,1229.7770254945°22'20.3" 447.240 680.03591949,1224.0412611346°8'26.9" 455.201 688.22743993,1218.30549677

46°52'57.9" 463.241 696.41896037,1212.5697324

Page 12: calculo de curvas horizontales y verticales

47°35'57.3" 471.356 704.61048082,1206.8339680448°17'29.1" 479.542 712.80200126,1201.0982036848°57'36.9" 487.796 720.9935217,1195.3624393149°36'24.2" 496.114 729.18504215,1189.6266749550°13'54.5" 504.494 737.37656259,1183.8909105950°50'11.1" 512.931 745.56808303,1178.1551462251°25'16.9" 521.423 753.75960347,1172.4193818651°59'15.1" 529.968 761.95112392,1166.683617552°32'8.4" 538.564 770.14264436,1160.9478531353°3'59.5" 547.206 778.3341648,1155.21208877

53°34'51.0" 555.895 786.52568525,1149.4763244154°4'45.5" 564.627 794.71720569,1143.74056004

54°33'45.1" 573.400 802.90872613,1138.0047956855°1'52.2" 582.213 811.10024657,1132.2690313155°29'8.8" 591.064 819.29176702,1126.53326695

55°55'37.1" 599.950 827.48328746,1120.7975025956°21'18.9" 608.872 835.6748079,1115.0617382256°46'16.2" 617.826 843.86632835,1109.3259738657°10'30.5" 626.812 852.05784879,1103.590209557°34'3.7" 635.828 860.24936923,1097.85444513

57°56'57.3" 644.873 868.44088967,1092.1186807758°19'12.9" 653.946 876.63241012,1086.3829164158°40'51.8" 663.046 884.82393056,1080.6471520459°1'55.5" 672.171 893.015451,1074.91138768

59°22'25.3" 681.321 901.20697145,1069.1756233259°42'22.5" 690.495 909.39849189,1063.4398589560°1'48.3" 699.691 917.59001233,1057.70409459

60°20'43.8" 708.909 925.78153277,1051.9683302360°39'10.0" 718.147 933.97305322,1046.2325658660°57'8.2" 727.406 942.16457366,1040.4968015

61°14'39.2" 736.684 950.3560941,1034.7610371461°31'44.1" 745.981 958.54761455,1029.0252727761°48'23.7" 755.296 966.73913499,1023.2895084162°4'38.9" 764.628 974.93065543,1017.55374404

62°20'30.6" 773.977 983.12217587,1011.8179796862°35'59.6" 783.342 991.31369632,1006.0822153262°51'6.6" 792.723 999.50521676,1000.3464509562°52'0.6" 793.290 1000.0000,1000.0000

_circle 233.26573031,1203.53721362 10_circle 388.11734681,1326.58399631 10_circle 569.1070071,1301.71452179 10_circle 569.10731713,1301.7143047 10

Page 13: calculo de curvas horizontales y verticales

CURVA EN 'S'IN

FO

RM

AC

ION

DE

LA

CU

RV

AAbscisa Inicial (m) : K0+129.70

Coordenadas Punto Inicial (N-E) : 1170.000 1170.000

Azimut de Entrada (g,m,s) : 100

Coordenadas Punto Final (N-E) : 610.000 1018.000

Azimut de Salida (g,m,s) : 135

Radio Circulo #1 (m) : 105.000

Centro Circulo #1 (N-E) : 1010.000 1350.000

Espiral #1 (m) : Parametro

Radio Circulo #2 (m) : 140.000

Centro Circulo #2 (N-E) : 853.000 1009.000

Espiral #2 (m) : Parametro

Incremento en Abscisado (m) : 10

Coordenadas Equipo de Precisión

Punto N ETE 1154.132 1259.992

Coordenadas Punto Cero

Punto N EPI 1322.421 305.579

EL

EM

EN

TO

S D

E L

A C

UR

VA

Entrada (m) #1 (m) #2 (m)

Delta : 35°0'0.0"

Longitud Total : 1394.637

Longitud Espiral : 237.060 286.054 214.541Parámetro Espiral : 157.770 173.308 173.308

Oe : 64°40'43.2" 78°2'46.1" 43°54'3.4"

Delta C : 52°50'53.7" 55°35'47.9"

Xe : 208.581 237.341 202.283

Ye : 81.405 113.653 52.539

Xm : 113.669 134.618 105.205

Disloque : 21.313 30.401 13.415

e : 39°42'18.3"

Te : 969.136 821.713 1037.676

Lc : 96.849489418 135.84818878

Coordenadas

Abscisa Norte Este

PI : 1322.421 305.579

TE : 221.08 1154.132 1259.992

EC1 : 458.14 1037.744 1451.268

CE1 : 554.99 946.039 1433.271

EE : 841.04 945.972 1170.123

EC2 : 1055.58 985.898 964.976

CE2 : 1191.43 891.766 874.474

ET : 1489.90 634.348 993.652

Coordenadas

INF

OR

MA

CIO

N

PA

RA

L

OC

AL

IZA

CIO

N

800 900 1000 1100 1200 1300 1400 1500

0

200

400

600

800

1000

1200

1400Curva en 'S'

C3
Norte (m)
D3
Este (m)
C5
Norte (m)
D5
Este (m)
C8
Norte (m)
D8
Este (m)
C11
Norte (m)
D11
Este (m)
Page 14: calculo de curvas horizontales y verticales

Tipo de Punto Abscisa N E

Punto Inicial 129.700 1170.000 1170.000130 1169.948 1170.295140 1168.211 1180.144150 1166.475 1189.992160 1164.738 1199.840170 1163.002 1209.688180 1161.265 1219.536190 1159.529 1229.384200 1157.793 1239.232210 1156.056 1249.080220 1154.320 1258.928

TE 221.080 1154.132 1259.992230 1152.578 1268.775240 1150.802 1278.616250 1148.951 1288.443260 1146.986 1298.248270 1144.867 1308.021280 1142.557 1317.751290 1140.018 1327.423300 1137.212 1337.020310 1134.102 1346.524320 1130.656 1355.911330 1126.839 1365.153340 1122.622 1374.219350 1117.977 1383.074360 1112.879 1391.676370 1107.310 1399.980380 1101.254 1407.936390 1094.704 1415.489400 1087.656 1422.580410 1080.117 1429.147420 1072.103 1435.123430 1063.637 1440.440440 1054.755 1445.029450 1045.505 1448.819

EC1 458.140 1037.744 1451.268460 1035.946 1451.744470 1026.154 1453.750480 1016.214 1454.816490 1006.219 1454.932500 996.257 1454.097510 986.421 1452.318520 976.798 1449.612530 967.476 1446.004540 958.539 1441.525550 950.069 1436.216

CE1 554.990 946.039 1433.271560 942.139 1430.127570 934.814 1423.325580 928.132 1415.891

Page 15: calculo de curvas horizontales y verticales

590 922.121 1407.903600 916.797 1399.442610 912.169 1390.580620 908.235 1381.389630 904.988 1371.933640 902.413 1362.272650 900.490 1352.461660 899.194 1342.547670 898.497 1332.572680 898.370 1322.575690 898.778 1312.584700 899.688 1302.627710 901.065 1292.723720 902.872 1282.888730 905.074 1273.134740 907.635 1263.468750 910.520 1253.894760 913.694 1244.411770 917.122 1235.017780 920.772 1225.707790 924.610 1216.473800 928.604 1207.306810 932.723 1198.194820 936.937 1189.125830 941.213 1180.085840 945.523 1171.062

EE 841.044 945.972 1170.123850 949.835 1162.041860 954.121 1153.006870 958.350 1143.945880 962.492 1134.843890 966.515 1125.688900 970.388 1116.468910 974.080 1107.175920 977.557 1097.799930 980.786 1088.335940 983.734 1078.780950 986.366 1069.133960 988.645 1059.397970 990.538 1049.578980 992.007 1039.688990 993.018 1029.740

1000 993.533 1019.7541010 993.520 1009.7561020 992.945 999.7741030 991.777 989.8441040 989.986 980.0071050 987.549 970.311

EC2 1055.584 985.898 964.9761060 984.444 960.8071070 980.669 951.549

Page 16: calculo de curvas horizontales y verticales

1080 976.243 942.5841090 971.189 933.9581100 965.532 925.7141110 959.301 917.8961120 952.528 910.5411130 945.248 903.6891140 937.497 897.3741150 929.315 891.6291160 920.744 886.4821170 911.827 881.9591180 902.611 878.0851190 893.141 874.878

CE2 1191.432 891.766 874.4741200 883.467 872.3531210 873.642 870.5041220 863.714 869.3171230 853.731 868.7741240 843.733 868.8521250 833.757 869.5271260 823.836 870.7741270 813.999 872.5651280 804.270 874.8701290 794.668 877.6621300 785.211 880.9091310 775.911 884.5821320 766.778 888.6531330 757.818 893.0911340 749.034 897.8691350 740.426 902.9591360 731.995 908.3351370 723.734 913.9691380 715.638 919.8391390 707.699 925.9191400 699.908 932.1881410 692.254 938.6231420 684.724 945.2031430 677.305 951.9081440 669.983 958.7181450 662.742 965.6161460 655.568 972.5831470 648.444 979.6001480 641.354 986.652

ET 1489.904 634.348 993.6521490 634.280 993.7201500 627.209 1000.7911510 620.138 1007.8621520 613.067 1014.933

Punto Final 1524.337 610.000 1018.000

Page 17: calculo de curvas horizontales y verticales

Salida (m)

35°0'0.0"

1394.637

298.471

204.416

61°4'31.8"

266.294

97.751

143.757

25.463

973.082

Localización

800 900 1000 1100 1200 1300 1400 1500

0

200

400

600

800

1000

1200

1400Curva en 'S'

Calcular

Page 18: calculo de curvas horizontales y verticales

Distancia _pline359°59'60.0" 91.380 1170.0000,1170.0000359°59'60.0" 91.080 1170.29544233,1169.94790555359°59'60.0" 81.080 1180.14351986,1168.21142377359°59'60.0" 71.080 1189.99159739,1166.47494199359°59'60.0" 61.080 1199.83967492,1164.73846022359°59'60.0" 51.080 1209.68775245,1163.00197844359°59'60.0" 41.080 1219.53582998,1161.26549666359°59'60.0" 31.080 1229.38390751,1159.52901489359°59'60.0" 21.080 1239.23198504,1157.79253311359°59'60.0" 11.080 1249.08006257,1156.05605133

0°0'0.0" 1.080 1258.9281401,1154.3195695679°59'60.0" 0.000 1259.99216703,1154.1319529180°1'49.9" 8.920 1268.77539029,1152.57840885180°8'14.4" 18.920 1278.61632469,1150.8019665

180°19'15.1" 28.919 1288.4434474,1148.95078112180°34'52.0" 38.918 1298.24836148,1146.9855559180°55'5.1" 48.915 1308.02129921,1144.8672803

181°19'54.3" 58.907 1317.75065715,1142.55737086181°49'19.6" 68.892 1327.42254062,1140.01784874182°23'20.8" 78.865 1337.02032201,1137.21156275183°1'57.6" 88.820 1346.52421842,1134.10246658183°45'9.8" 98.750 1355.91089581,1130.65595795

184°32'56.8" 108.645 1365.15310843,1126.8392867185°25'18.0" 118.494 1374.21938412,1122.62203773186°22'12.6" 128.282 1383.07376821,1117.97669302187°23'39.4" 137.994 1391.67564052,1112.87927509188°29'37.1" 147.610 1399.97962229,1107.31007189189°40'3.9" 157.109 1407.93559137,1101.25443975

190°54'57.7" 166.466 1415.48882583,1094.70367801192°14'15.9" 175.653 1422.58029719,1087.65596398193°37'55.3" 184.639 1429.1471349,1080.11733272195°5'52.1" 193.390 1435.12328338,1072.10268007196°38'1.9" 201.869 1440.44037144,1063.63676186

198°14'19.4" 210.034 1445.02881061,1054.75515569199°54'38.2" 217.843 1448.81913415,1045.50514532201°19'10.7" 223.903 1451.2682232,1037.74447007201°38'51.0" 225.248 1451.74372915,1035.94635963203°26'42.2" 232.208 1453.750003,1026.15354071205°17'42.2" 238.700 1454.81594481,1016.21431513207°11'23.7" 244.704 1454.9318935,1006.21876647209°7'23.1" 250.202 1454.09679815,996.2574888211°5'20.1" 255.179 1452.31822762,986.42076557213°4'56.7" 259.621 1449.61230187,976.79775134215°5'56.9" 263.516 1446.0035459,967.47566373217°8'6.7" 266.853 1441.52466745,958.53899294

219°11'12.8" 269.623 1436.21626058,950.06873594220°12'57.2" 270.792 1433.27082034,946.03909182221°15'4.5" 271.821 1430.12690017,942.139073

223°19'25.4" 273.456 1423.32538559,934.81413558225°24'5.2" 274.555 1415.89059038,928.13213114

a positivo

Page 19: calculo de curvas horizontales y verticales

227°28'54.4" 275.149 1407.90327832,922.12075785229°33'46.9" 275.271 1399.44158688,916.79717499231°38'39.0" 274.953 1390.58004607,912.16902553233°43'29.7" 274.230 1381.38879309,908.23549362235°48'19.8" 273.136 1371.93297317,904.98836507237°53'12.4" 271.705 1362.27231264,902.41306467239°58'12.0" 269.972 1352.46084708,900.4896496242°3'24.8" 267.972 1342.54678624,899.19374285244°8'58.5" 265.738 1332.57249672,898.49739516246°15'1.6" 263.307 1322.57458387,898.36986772

248°21'44.1" 260.713 1312.58405523,898.77833114250°29'16.5" 257.991 1302.6265491,899.68847891252°37'50.0" 255.175 1292.72261357,901.06505596254°47'36.0" 252.301 1282.88802273,902.87230448256°58'46.2" 249.404 1273.13411887,905.07433082259°11'31.5" 246.521 1263.46817109,907.635398261°26'2.4" 243.688 1253.89374228,910.52014951

263°42'27.9" 240.943 1244.4110584,913.69376996266°0'55.1" 238.322 1235.01737512,917.12208904

268°21'28.8" 235.865 1225.7073383,920.77163478270°44'10.3" 233.612 1216.47333622,924.60964246273°8'57.2" 231.600 1207.30584218,928.60402521

275°35'42.7" 229.871 1198.19374728,932.72331217278°4'14.5" 228.465 1189.1246837,936.93656006

280°34'14.7" 227.419 1180.08533973,941.21324351283°5'19.2" 226.774 1171.06176803,945.52312966283°21'4.9" 226.731 1170.12316008,945.97228605

285°36'56.1" 226.564 1162.04134937,949.83535231288°8'32.4" 226.826 1153.00645895,954.12144303

290°39'24.8" 227.590 1143.94471388,958.3504198293°8'46.8" 228.885 1134.84264486,962.49182935

295°35'48.2" 230.733 1125.68766174,966.51482547297°59'37.2" 233.154 1116.46836694,970.38805572300°19'21.1" 236.161 1107.17487691,974.07956804302°34'8.4" 239.761 1097.79915291,977.55674298

304°43'10.3" 243.957 1088.33534147,980.78625699306°45'41.9" 248.743 1078.78012475,983.73408289308°41'3.5" 254.112 1069.13307936,986.36553335

310°28'41.2" 260.047 1059.39704206,988.64535378312°8'7.3" 266.528 1049.57847873,990.53787064

313°39'0.6" 273.530 1039.68785235,992.00720157315°1'6.1" 281.023 1029.73998392,993.0175331

316°14'14.5" 288.974 1019.75439879,993.53347161317°18'21.9" 297.346 1009.75564922,993.52047239318°13'29.2" 306.096 999.7736021,992.94535062318°59'41.2" 315.181 989.84367926,991.77687706319°37'6.2" 324.554 980.00703576,989.98645922320°5'55.3" 334.164 970.31066022,987.54890685

320°18'21.2" 339.613 964.97638208,985.89816254320°26'22.1" 343.956 960.80721349,984.44373446320°38'50.5" 353.873 951.5492455,980.66914587

Page 20: calculo de curvas horizontales y verticales

320°43'54.9" 363.857 942.584269,976.24346099320°42'9.2" 373.853 933.95800423,971.18925024320°34'5.8" 383.812 925.71444403,965.53228944

320°20'15.6" 393.686 917.8956295,959.30142838320°1'7.3" 403.435 910.54143559,952.52844365

319°37'7.9" 413.018 903.68936776,945.2478766319°8'42.2" 422.401 897.37437066,937.49685719

318°36'13.5" 431.549 891.62864998,929.31491463318°0'2.9" 440.432 886.48150815,920.74377577

317°20'30.0" 449.022 881.95919495,911.82715234316°37'53.0" 457.292 878.08477358,902.61051796315°52'28.5" 465.220 874.87800311,893.14087629315°45'45.4" 466.326 874.47426928,891.76644925315°4'32.9" 472.783 872.35257195,883.46727487

314°14'25.6" 479.975 870.50389184,873.64174305313°22'25.9" 486.795 869.31707707,863.71431366312°28'50.8" 493.247 868.77355293,853.73081806311°33'55.3" 499.338 868.85166259,843.7326995310°37'52.5" 505.077 869.52723966,833.75699459309°40'53.8" 510.476 870.77413961,823.83637184308°43'9.3" 515.549 872.56472648,813.99921873

307°44'47.6" 520.310 874.87031325,804.26976909306°45'56.4" 524.777 877.66155484,794.66826325305°46'42.2" 528.968 880.90879414,785.21113372304°47'10.7" 532.901 884.58236188,775.9112101303°47'26.8" 536.597 888.65283194,766.77793731302°47'34.7" 540.075 893.09123432,757.8176022301°47'38.3" 543.358 897.86922795,749.03356415300°47'40.6" 546.466 902.9592361,740.42648594299°47'44.4" 549.421 908.33454728,731.99456187298°47'52.4" 552.245 913.96938431,723.73374076297°48'6.6" 554.961 919.83894455,715.63794181

296°48'29.2" 557.590 925.91941416,707.69926204295°49'2.0" 560.156 932.18795902,699.90817444

294°49'47.1" 562.681 938.62269501,692.25371616293°50'46.2" 565.187 945.20264017,684.7236668292°52'1.4" 567.697 951.90765102,677.30471686

291°53'34.6" 570.234 958.71834542,669.98262683290°55'28.2" 572.819 965.61601375,662.74237763289°57'44.6" 575.474 972.58252068,655.5683133289°0'26.4" 578.221 979.60019905,648.44427698288°3'36.7" 581.082 986.65173774,641.35374137287°7'51.1" 584.048 993.65188289,634.34811711287°7'18.7" 584.078 993.72006503,634.27993497

286°11'35.6" 587.225 1000.79113284,627.20886716285°16'29.1" 590.525 1007.86220066,620.13779934284°22'0.1" 593.974 1014.93326847,613.06673153

283°58'34.3" 595.516 1018.0000,610.0000

_circle 1259.99216703,1154.1319529 10_circle 1451.2682232,1037.74447007 10

Page 21: calculo de curvas horizontales y verticales

_circle 1433.27082034,946.03909182 10_circle 1170.12316008,945.97228605 10_circle 964.97638208,985.89816254 10_circle 874.47426928,891.76644925 10_circle 993.65188289,634.34811711 10

Page 22: calculo de curvas horizontales y verticales

CURVA EN 'C'Abscisa Inicial (m) : K0+000.00

Coordenadas Punto Inicial (N-E) : 3980.000 2220.000

Azimut de Entrada (g,m,s) : 144

Coordenadas Punto Final (N-E) : 3660.000 2840.000

Azimut de Salida (g,m,s) : 254

Radio Circulo #1 (m) : 458.000

Centro Circulo #1 (N-E) : 3759.000 3026.000

Radio Circulo #2 (m) : 140.000

Centro Circulo #2 (N-E) : 3622.000 3308.000

Incremento en Abscisado (m) : 10

Coordenadas Equipo de Precisión

Punto N ETE 3787.349 2359.969

Coordenadas Punto Cero

Punto N EPI 3568.042 2519.305

EL

EM

EN

TO

S D

E L

A C

UR

VA

Entrada (m) Centro (m)

Delta : 250°0'0.0"

Longitud Total : 2376.084

Longitud Espiral : 852.901 147.959

Parámetro Espiral : 625.003 172.725

Oe : 53°20'56.1" 4°4'28.1" 43°36'21.2"

Delta C : 55°32'42.4"

Xe : 781.865 65.106 201.082

Ye : 248.768 1.544 51.865

Xm : 414.418 32.564 104.525

Disloque : 64.167 0.386 13.239

e : 13°16'9.2"

Te : 271.078

Lc : 444.00578249

Coordenadas

Abscisa Norte Este

PI : 3568.042 2519.305

TE : 238.13 3787.349 2359.969

EC1 : 1091.03 3301.030 3020.796

CE1 : 1535.04 3495.609 3400.685

EC2 : 1683.00 3632.803 3447.583

CE2 : 1781.76 3720.728 3407.261

ET : 2080.62 3741.442 3124.021

Coordenadas

INF

OR

MA

CIO

N D

E L

A

CU

RV

A

INF

OR

MA

CIO

N

PA

RA

L

OC

AL

IZA

CIO

N

2000 2200 2400 2600 2800 3000 3200 3400 3600

0

500

1000

1500

2000

2500

3000

3500

4000

4500Curva en 'C'

C3
Norte (m)
D3
Este (m)
C5
Norte (m)
D5
Este (m)
C8
Norte (m)
D8
Este (m)
C10
Norte (m)
D10
Este (m)
Page 23: calculo de curvas horizontales y verticales

Tipo de Punto Abscisa N E

Punto Inicial 0.000 3980.000 2220.00010 3971.910 2225.87820 3963.820 2231.75630 3955.729 2237.63440 3947.639 2243.51150 3939.549 2249.38960 3931.459 2255.26770 3923.369 2261.14580 3915.279 2267.02390 3907.188 2272.901

100 3899.098 2278.779110 3891.008 2284.656120 3882.918 2290.534130 3874.828 2296.412140 3866.738 2302.290150 3858.647 2308.168160 3850.557 2314.046170 3842.467 2319.923180 3834.377 2325.801190 3826.287 2331.679200 3818.197 2337.557210 3810.106 2343.435220 3802.016 2349.313230 3793.926 2355.191

TE 238.129 3787.349 2359.969240 3785.836 2361.068250 3777.746 2366.947260 3769.658 2372.828270 3761.574 2378.713280 3753.494 2384.605290 3745.420 2390.506300 3737.354 2396.417310 3729.298 2402.341320 3721.253 2408.280330 3713.220 2414.236340 3705.201 2420.211350 3697.197 2426.206360 3689.211 2432.225370 3681.244 2438.268380 3673.297 2444.338390 3665.372 2450.437400 3657.472 2456.567410 3649.596 2462.730420 3641.748 2468.927430 3633.928 2475.160440 3626.140 2481.432450 3618.384 2487.744

Page 24: calculo de curvas horizontales y verticales

460 3610.662 2494.098470 3602.976 2500.496480 3595.329 2506.939490 3587.721 2513.430500 3580.156 2519.969510 3572.634 2526.559520 3565.159 2533.202530 3557.732 2539.898540 3550.355 2546.649550 3543.030 2553.457560 3535.760 2560.323570 3528.547 2567.249580 3521.393 2574.236590 3514.300 2581.286600 3507.271 2588.398610 3500.309 2595.576620 3493.415 2602.820630 3486.592 2610.131640 3479.843 2617.510650 3473.170 2624.957660 3466.576 2632.475670 3460.063 2640.064680 3453.635 2647.724690 3447.294 2655.456700 3441.043 2663.262710 3434.884 2671.140720 3428.821 2679.093730 3422.857 2687.119740 3416.994 2695.220750 3411.236 2703.396760 3405.585 2711.646770 3400.045 2719.971780 3394.619 2728.371790 3389.310 2736.845800 3384.122 2745.394810 3379.056 2754.016820 3374.118 2762.711830 3369.310 2771.479840 3364.635 2780.319850 3360.096 2789.230860 3355.698 2798.211870 3351.444 2807.260880 3347.336 2816.378890 3343.379 2825.561900 3339.575 2834.809910 3335.929 2844.121920 3332.443 2853.494930 3329.122 2862.926

Page 25: calculo de curvas horizontales y verticales

940 3325.968 2872.415950 3322.985 2881.960960 3320.177 2891.557970 3317.546 2901.205980 3315.097 2910.900990 3312.832 2920.640

1000 3310.755 2930.4221010 3308.869 2940.2421020 3307.178 2950.0981030 3305.684 2959.9861040 3304.391 2969.9011050 3303.302 2979.8421060 3302.420 2989.8031070 3301.747 2999.7801080 3301.287 3009.7691090 3301.042 3019.765

EC1 1091.030 3301.030 3020.7961100 3301.015 3029.7651110 3301.207 3039.7631120 3301.616 3049.7551130 3302.244 3059.7351140 3303.089 3069.6991150 3304.152 3079.6421160 3305.432 3089.5601170 3306.927 3099.4471180 3308.639 3109.2991190 3310.565 3119.1121200 3312.704 3128.8801210 3315.057 3138.5991220 3317.621 3148.2651230 3320.396 3157.8721240 3323.379 3167.4161250 3326.570 3176.8931260 3329.968 3186.2981270 3333.570 3195.6261280 3337.375 3204.8741290 3341.380 3214.0371300 3345.585 3223.1091310 3349.987 3232.0881320 3354.584 3240.9691330 3359.374 3249.7471340 3364.354 3258.4181350 3369.522 3266.9791360 3374.876 3275.4251370 3380.413 3283.7521380 3386.131 3291.9561390 3392.026 3300.0331400 3398.096 3307.979

Page 26: calculo de curvas horizontales y verticales

1410 3404.338 3315.7921420 3410.750 3323.4661430 3417.327 3330.9981440 3424.067 3338.3851450 3430.967 3345.6231460 3438.024 3352.7081470 3445.233 3359.6381480 3452.592 3366.4091490 3460.097 3373.0171500 3467.744 3379.4601510 3475.530 3385.7351520 3483.452 3391.8381530 3491.505 3397.766

CE1 1535.036 3495.609 3400.6851540 3499.685 3403.5171550 3507.999 3409.0741560 3516.459 3414.4051570 3525.076 3419.4781580 3533.859 3424.2591590 3542.811 3428.7131600 3551.936 3432.8031610 3561.230 3436.4921620 3570.687 3439.7391630 3580.295 3442.5081640 3590.037 3444.7561650 3599.892 3446.4461660 3609.831 3447.5381670 3619.818 3447.9951680 3629.814 3447.782

EC2 1682.995 3632.803 3447.5831690 3639.770 3446.8681700 3649.635 3445.2451710 3659.360 3442.9231720 3668.894 3439.9131730 3678.189 3436.2301740 3687.197 3431.8931750 3695.872 3426.9241760 3704.171 3421.3481770 3712.051 3415.1951780 3719.472 3408.495

CE2 1781.760 3720.728 3407.2611790 3726.397 3401.2841800 3732.805 3393.6101810 3738.685 3385.5231820 3744.029 3377.0731830 3748.838 3368.3071840 3753.113 3359.2681850 3756.861 3349.999

Page 27: calculo de curvas horizontales y verticales

1860 3760.093 3340.5371870 3762.822 3330.9181880 3765.063 3321.1731890 3766.835 3311.3321900 3768.157 3301.4211910 3769.050 3291.4611920 3769.536 3281.4741930 3769.638 3271.4751940 3769.381 3261.4791950 3768.788 3251.4971960 3767.883 3241.5381970 3766.692 3231.6101980 3765.239 3221.7161990 3763.548 3211.8602000 3761.644 3202.0432010 3759.551 3192.2652020 3757.294 3182.5232030 3754.896 3172.8152040 3752.380 3163.1372050 3749.771 3153.4832060 3747.091 3143.8492070 3744.364 3134.2282080 3741.612 3124.614

ET 2080.617 3741.442 3124.0212090 3738.855 3115.0022100 3736.099 3105.3892110 3733.343 3095.7762120 3730.586 3086.1642130 3727.830 3076.5512140 3725.074 3066.9382150 3722.317 3057.3262160 3719.561 3047.7132170 3716.804 3038.1012180 3714.048 3028.4882190 3711.292 3018.8752200 3708.535 3009.2632210 3705.779 2999.6502220 3703.023 2990.0382230 3700.266 2980.4252240 3697.510 2970.8122250 3694.753 2961.2002260 3691.997 2951.5872270 3689.241 2941.9742280 3686.484 2932.3622290 3683.728 2922.7492300 3680.972 2913.1372310 3678.215 2903.5242320 3675.459 2893.911

Page 28: calculo de curvas horizontales y verticales

2330 3672.702 2884.2992340 3669.946 2874.6862350 3667.190 2865.0742360 3664.433 2855.4612370 3661.677 2845.848

Punto Final 2376.084 3660.000 2840.000

Page 29: calculo de curvas horizontales y verticales

Salida (m)

250°0'0.0"

2376.084

298.857

204.548

61°9'16.1"

40°25'12.4"

266.559

97.983

143.930

25.526

629.086

98.76496148

Localización

2000 2200 2400 2600 2800 3000 3200 3400 3600

0

500

1000

1500

2000

2500

3000

3500

4000

4500Curva en 'C'

Calcular

Page 30: calculo de curvas horizontales y verticales

Distancia _pline180°0'0.0" 238.129 2220.0000,3980.0000180°0'0.0" 228.129 2225.87785252,3971.90983006180°0'0.0" 218.129 2231.75570505,3963.81966011180°0'0.0" 208.129 2237.63355757,3955.72949017180°0'0.0" 198.129 2243.51141009,3947.63932023180°0'0.0" 188.129 2249.38926261,3939.54915028180°0'0.0" 178.129 2255.26711514,3931.45898034180°0'0.0" 168.129 2261.14496766,3923.36881039180°0'0.0" 158.129 2267.02282018,3915.27864045180°0'0.0" 148.129 2272.90067271,3907.18847051180°0'0.0" 138.129 2278.77852523,3899.09830056180°0'0.0" 128.129 2284.65637775,3891.00813062180°0'0.0" 118.129 2290.53423028,3882.91796068180°0'0.0" 108.129 2296.4120828,3874.82779073180°0'0.0" 98.129 2302.28993532,3866.73762079180°0'0.0" 88.129 2308.16778784,3858.64745084180°0'0.0" 78.129 2314.04564037,3850.5572809180°0'0.0" 68.129 2319.92349289,3842.46711096180°0'0.0" 58.129 2325.80134541,3834.37694101180°0'0.0" 48.129 2331.67919794,3826.28677107180°0'0.0" 38.129 2337.55705046,3818.19660113180°0'0.0" 28.129 2343.43490298,3810.10643118

179°59'60.0" 18.129 2349.3127555,3802.01626124179°59'60.0" 8.129 2355.19060803,3793.92609129

216°0'0.0" 0.000 2359.96895051,3787.34926709359°59'59.7" 1.871 2361.06846281,3785.83592299359°59'47.6" 11.871 2366.94689043,3777.74617093359°59'17.9" 21.871 2372.82777609,3769.65820565359°58'30.6" 31.871 2378.71318906,3761.57353434359°57'25.7" 41.871 2384.6051961,3753.49366766359°56'3.2" 51.871 2390.50586023,3745.4201213

359°54'23.1" 61.871 2396.41723966,3737.35441764359°52'25.4" 71.870 2402.34138652,3729.29808723359°50'10.1" 81.870 2408.28034571,3721.25267044359°47'37.2" 91.870 2414.23615371,3713.21971893359°44'46.7" 101.870 2420.21083735,3705.2007973359°41'38.6" 111.869 2426.20641256,3697.19748452359°38'12.9" 121.869 2432.22488316,3689.21137551359°34'29.6" 131.868 2438.26823956,3681.24408266359°30'28.7" 141.866 2444.33845747,3673.29723723359°26'10.2" 151.865 2450.4374966,3665.37249093359°21'34.1" 161.863 2456.56729928,3657.47151728359°16'40.4" 171.860 2462.72978914,3649.59601306359°11'29.1" 181.856 2468.92686967,3641.74769973

359°6'0.2" 191.852 2475.16042281,3633.92832479359°0'13.7" 201.846 2481.43230747,3626.13966309358°54'9.6" 211.840 2487.74435807,3618.3835182

a positivo

Page 31: calculo de curvas horizontales y verticales

358°47'47.9" 221.831 2494.09838295,3610.66172366358°41'8.7" 231.822 2500.49616285,3602.97614423

358°34'11.8" 241.810 2506.93944928,3595.32867709358°26'57.3" 251.797 2513.42996284,3587.72125303358°19'25.3" 261.781 2519.96939162,3580.15583758358°11'35.7" 271.762 2526.55938935,3572.63443206358°3'28.5" 281.741 2533.20157372,3565.15907467357°55'3.7" 291.716 2539.89752451,3557.73184143

357°46'21.3" 301.688 2546.64878174,3550.35484716357°37'21.4" 311.656 2553.45684375,3543.03024632357°28'3.9" 321.619 2560.32316524,3535.76023388

357°18'28.9" 331.578 2567.24915528,3528.54704607357°8'36.3" 341.531 2574.23617523,3521.39296105

356°58'26.1" 351.478 2581.28553665,3514.3002996356°47'58.4" 361.419 2588.39849916,3507.27142567356°37'13.1" 371.353 2595.57626821,3500.30874684356°26'10.4" 381.280 2602.81999285,3493.41471481356°14'50.1" 391.198 2610.13076343,3486.59182568356°3'12.3" 401.108 2617.50960924,3479.84262022

355°51'16.9" 411.008 2624.95749615,3473.16968409355°39'4.1" 420.898 2632.4753241,3466.57564787

355°26'33.8" 430.778 2640.0639247,3460.06318706355°13'46.1" 440.645 2647.72405863,3453.63502201355°0'40.8" 450.500 2655.45641307,3447.29391768

354°47'18.1" 460.342 2663.26159911,3441.04268334354°33'38.0" 470.169 2671.14014907,3434.88417216354°19'40.5" 479.981 2679.09251379,3428.82128067354°5'25.6" 489.777 2687.11905991,3422.85694814

353°50'53.2" 499.556 2695.22006706,3416.99415578353°36'3.6" 509.316 2703.39572512,3411.23592587

353°20'56.5" 519.057 2711.6461313,3405.58532078353°5'32.2" 528.778 2719.97128733,3400.04544174

352°49'50.5" 538.476 2728.37109658,3394.61942764352°33'51.6" 548.152 2736.84536109,3389.31045359352°17'35.3" 557.804 2745.39377872,3384.12172931

352°1'1.9" 567.429 2754.01594016,3379.05649748351°44'11.3" 577.028 2762.71132598,3374.11803184351°27'3.4" 586.599 2771.47930374,3369.30963517351°9'38.5" 596.139 2780.31912497,3364.63463714

350°51'56.4" 605.648 2789.22992226,3360.09639196350°33'57.3" 615.125 2798.21070631,3355.69827586350°15'41.1" 624.566 2807.26036306,3351.44368441349°57'7.9" 633.972 2816.37765073,3347.33602973

349°38'17.7" 643.340 2825.561197,3343.37873738349°19'10.6" 652.668 2834.8094962,3339.57524323348°59'46.6" 661.954 2844.12090646,3335.92899003348°40'5.8" 671.197 2853.49364706,3332.44342387348°20'8.2" 680.395 2862.92579568,3329.12199039

Page 32: calculo de curvas horizontales y verticales

347°59'53.9" 689.546 2872.41528586,3325.96813088347°39'22.8" 698.648 2881.95990442,3322.98527807347°18'35.2" 707.698 2891.55728901,3320.1768519346°57'30.9" 716.695 2901.20492577,3317.54625488346°36'10.2" 725.636 2910.90014707,3315.09686747346°14'33.0" 734.519 2920.64012934,3312.8320431345°52'39.4" 743.343 2930.42189107,3310.75510308345°30'29.5" 752.104 2940.24229088,3308.86933129

345°8'3.4" 760.800 2950.09802579,3307.17796867344°45'21.1" 769.429 2959.98562959,3305.68420752344°22'22.7" 777.989 2969.90147141,3304.39118562343°59'8.2" 786.476 2979.84175443,3303.30198012

343°35'37.9" 794.888 2989.80251478,3302.41960132343°11'51.7" 803.223 2999.77962068,3301.74698613342°47'49.8" 811.478 3009.7687717,3301.28699153342°23'32.2" 819.650 3019.76549833,3301.04238768342°21'1.2" 820.487 3020.79565335,3301.02953331

341°58'59.2" 827.736 3029.76530355,3301.01547789341°34'11.1" 835.736 3039.76327363,3301.20684551

341°9'8.7" 843.647 3049.75468266,3301.61644646340°43'52.4" 851.469 3059.73476766,3302.24408548340°18'22.8" 859.200 3069.69877105,3303.08946337339°52'40.4" 866.838 3079.64194292,3304.15217714339°26'45.7" 874.384 3089.55954328,3305.43172018339°0'39.1" 881.835 3099.44684435,3306.92748253

338°34'21.1" 889.190 3109.29913276,3308.63875113338°7'52.1" 896.449 3119.11171188,3310.56471023

337°41'12.6" 903.610 3128.87990396,3312.7044417337°14'22.8" 910.673 3138.59905245,3315.05692551336°47'23.3" 917.635 3148.26452414,3317.62104022336°20'14.3" 924.497 3157.87171145,3320.3955635335°52'56.1" 931.257 3167.41603455,3323.37917271335°25'29.2" 937.914 3176.8929436,3326.57044554334°57'53.9" 944.467 3186.29792088,3329.96786069334°30'10.4" 950.915 3195.62648297,3333.56979859334°2'19.0" 957.258 3204.87418288,3337.37454216

333°34'20.1" 963.494 3214.03661217,3341.38027766333°6'13.8" 969.622 3223.10940303,3345.58509553332°38'0.5" 975.642 3232.0882304,3349.9869913332°9'40.4" 981.553 3240.96881402,3354.58386654

331°41'13.8" 987.354 3249.74692043,3359.37352991331°12'40.9" 993.044 3258.41836506,3364.35369812330°44'1.8" 998.622 3266.97901415,3369.52199711

330°15'17.0" 1004.088 3275.4247868,3374.87596309329°46'26.4" 1009.441 3283.75165683,3380.4130438329°17'30.5" 1014.680 3291.95565477,3386.13059968328°48'29.3" 1019.804 3300.03286971,3392.02590511328°19'23.0" 1024.813 3307.97945118,3398.09614977

Page 33: calculo de curvas horizontales y verticales

327°50'11.9" 1029.706 3315.791611,3404.33843992327°20'56.1" 1034.482 3323.46562504,3410.74979983326°51'35.8" 1039.141 3330.99783505,3417.32717314326°22'11.1" 1043.681 3338.38465037,3424.06742438325°52'42.3" 1048.104 3345.62254965,3430.96734042325°23'9.5" 1052.406 3352.70808254,3438.02363202

324°53'32.9" 1056.590 3359.6378713,3445.23293539324°23'52.5" 1060.652 3366.40861245,3452.5918138323°54'8.6" 1064.594 3373.01707834,3460.09675924

323°24'21.4" 1068.415 3379.46011866,3467.74419402322°54'30.8" 1072.113 3385.73466196,3475.53047257322°24'37.1" 1075.689 3391.83771713,3483.45188311321°54'40.5" 1079.142 3397.7663748,3491.50464944321°39'34.6" 1080.834 3400.68511002,3495.60852646321°24'40.9" 1082.471 3403.51722456,3499.68528813320°54'37.6" 1085.660 3409.07367181,3507.99916878320°24'28.8" 1088.677 3414.40487678,3516.45916117319°54'13.0" 1091.488 3419.47814001,3525.07621001319°23'49.2" 1094.062 3424.25942365,3533.8585208318°53'16.5" 1096.364 3428.71336318,3542.811175318°22'34.8" 1098.359 3432.80333429,3551.93572881317°51'44.3" 1100.014 3436.49158213,3561.22979882317°20'45.9" 1101.293 3439.73942027,3570.68663937316°49'41.0" 1102.162 3442.50750659,3580.29471781316°18'31.8" 1102.586 3444.75620325,3590.03729619315°47'21.3" 1102.530 3446.44602692,3599.89202948315°16'13.3" 1101.962 3447.53819491,3609.83059272314°45'12.5" 1100.849 3447.99527127,3619.81835161314°14'24.7" 1099.161 3447.78191505,3629.81409305314°5'14.7" 1098.539 3447.58260147,3632.80265549

313°43'56.4" 1096.872 3446.8676518,3639.77006706313°13'54.4" 1093.979 3445.24533673,3649.63544004312°44'24.9" 1090.491 3442.92308801,3659.35987581312°15'34.4" 1086.421 3439.91274883,3668.893781311°47'29.3" 1081.782 3436.22967151,3678.18853392311°20'16.1" 1076.592 3431.89263929,3687.1967325310°54'1.3" 1070.869 3426.92377048,3695.8724361

310°28'51.5" 1064.634 3421.34840566,3704.17139973310°4'53.6" 1057.909 3415.19497849,3712.05129975

309°42'14.1" 1050.721 3408.49487065,3719.47194967309°38'23.5" 1049.409 3407.26146058,3720.72776893309°20'59.7" 1043.097 3401.2840616,3726.39721715309°1'14.2" 1035.079 3393.6098207,3732.80538063308°43'0.3" 1026.708 3385.52317319,3738.68486854

308°26'19.8" 1018.026 3377.07326166,3744.02944303308°11'14.1" 1009.073 3368.30690736,3748.83770656307°57'44.0" 999.886 3359.26831335,3753.11261106307°45'50.0" 990.499 3349.9988374,3756.86097517

Page 34: calculo de curvas horizontales y verticales

307°35'31.9" 980.947 3340.53682925,3760.09301642307°26'49.4" 971.258 3330.9175257,3762.82190423307°19'41.5" 961.462 3321.17299749,3765.06333807307°14'7.0" 951.584 3311.33214165,3766.83515407307°10'4.3" 941.647 3301.42071301,3768.15696256307°7'31.6" 931.672 3291.46138942,3769.04981777307°6'26.7" 921.677 3281.47386489,3769.53592066307°6'47.3" 911.678 3271.47496601,3769.63835454307°8'30.6" 901.689 3261.4787868,3769.38085346

307°11'33.8" 891.721 3251.49683825,3768.7876019307°15'53.9" 881.784 3241.53820879,3767.88306495307°21'27.5" 871.886 3231.60973279,3766.69184699307°28'11.2" 862.031 3221.71616434,3765.23857738307°36'1.4" 852.224 3211.86035438,3763.54782102

307°44'54.5" 842.467 3202.04342917,3761.64401185307°54'46.5" 832.760 3192.26496903,3759.55140713308°5'33.3" 823.103 3182.52318609,3757.2940603

308°17'10.9" 813.494 3172.81510057,3754.89581046308°29'34.9" 803.929 3163.13671508,3752.38028607308°42'40.8" 794.404 3153.48318675,3749.77092099308°56'24.0" 784.913 3143.84899729,3747.09098065309°10'39.8" 775.452 3134.22812115,3744.3635963309°25'23.1" 766.012 3124.61419215,3741.61180535309°26'18.4" 765.430 3124.02075396,3741.44164066309°40'29.7" 756.588 3115.00157494,3738.85543269309°55'59.1" 747.180 3105.38895798,3736.09905913310°11'52.3" 737.787 3095.77634102,3733.34268557310°28'10.0" 728.410 3086.16372406,3730.58631202310°44'53.1" 719.050 3076.5511071,3727.82993846

311°2'2.7" 709.707 3066.93849014,3725.0735649311°19'39.8" 700.383 3057.32587318,3722.31719134311°37'45.3" 691.077 3047.71325622,3719.56081778311°56'20.5" 681.791 3038.10063926,3716.80444422312°15'26.4" 672.526 3028.4880223,3714.04807067312°35'4.2" 663.282 3018.87540534,3711.29169711

312°55'15.4" 654.060 3009.26278838,3708.53532355313°16'1.1" 644.861 2999.65017142,3705.77894999

313°37'22.8" 635.687 2990.03755447,3703.02257643313°59'22.1" 626.537 2980.42493751,3700.26620288314°22'0.3" 617.415 2970.81232055,3697.50982932

314°45'19.3" 608.319 2961.19970359,3694.75345576315°9'20.6" 599.253 2951.58708663,3691.9970822315°34'6.2" 590.217 2941.97446967,3689.24070864

315°59'37.8" 581.212 2932.36185271,3686.48433508316°25'57.6" 572.240 2922.74923575,3683.72796153316°53'7.6" 563.303 2913.13661879,3680.97158797

317°21'10.1" 554.403 2903.52400183,3678.21521441317°50'7.3" 545.540 2893.91138487,3675.45884085

Page 35: calculo de curvas horizontales y verticales

318°20'1.8" 536.717 2884.29876791,3672.70246729318°50'56.1" 527.937 2874.68615095,3669.94609374319°22'53.0" 519.200 2865.07353399,3667.18972018319°55'55.3" 510.510 2855.46091703,3664.43334662320°30'6.1" 501.869 2845.84830007,3661.67697306

320°51'28.6" 496.636 2840.0000,3660.0000

_circle 2359.96895051,3787.34926709 10_circle 3020.79565335,3301.02953331 10_circle 3400.68511002,3495.60852646 10_circle 3447.58260147,3632.80265549 10_circle 3407.26146058,3720.72776893 10_circle 3124.02075396,3741.44164066 10

Page 36: calculo de curvas horizontales y verticales

_circle 2359.96895051,3787.34926709 10_circle 3020.79565335,3301.02953331 10_circle 3400.68511002,3495.60852646 10_circle 3447.58260147,3632.80265549 10_circle 3407.26146058,3720.72776893 10_circle 3124.02075396,3741.44164066 10

Page 37: calculo de curvas horizontales y verticales

CURVA EN DOBLE 'C'IN

FO

RM

AC

ION

DE

LA

CU

RV

AAbscisa Inicial (m) : K0+000.00

oordenadas Punto Inicial (N-E) : 5480.000 5750.000

Azimut de Entrada (g,m,s) : 239

oordenadas Punto Final (N-E) : 5530.000 6830.000

Azimut de Salida (g,m,s) : 151

Radio Circulo #1 (m) : 1950.000

Centro Circulo #1 (N-E) : 5450.000 6200.000

Radio Circulo #2 (m) : 440.000

Centro Circulo #2 (N-E) : 5400.000 4730.000

Radio Circulo #3 (m) : 510.000

Centro Circulo #3 (N-E) : 6710.000 5580.000

Incremento en Abscisado (m) : 10

Coordenadas Equipo de Precisión

Punto N ETE 5116.447 5144.945

Coordenadas Punto Cero

Punto N EPI 5979.288 6580.955

EL

EM

EN

TO

S D

E L

A C

UR

VA

Entrada (m) #1 (m) Centro (m) #2 (m)

Delta : 272°0'0.0"

Longitud Total : 3547.868

Longitud Espiral : 422.499 739.204 776.797Parámetro Espiral : 431.161 648.093 732.445

Oe : 27°30'30.4" 4°4'28.1" 4°4'28.1"

Delta C : 43°12'58.6" 43°50'18.6"

Xe : 412.864 201.082

Ye : 66.511 51.865

Xm : 209.637 104.525

Disloque : 16.765 13.239

e : 13°49'32.6" 15°17'23.9"

Te : 0.000

Lc : 331.877 1491.996

Coordenadas

Abscisa Norte Este

PI : 5979.288 6580.955

TE : 705.88 5116.447 5144.945

EC1 : 1128.38 4960.817 4756.797

CE1 : 1460.25 5061.585 4448.796

EC2 : 2199.46 5745.403 4272.505

CE2 : 3691.45 6998.109 5014.311

EC3 : 4468.25 7196.132 5734.194

INF

OR

MA

CIO

N

PA

RA

L

OC

AL

IZA

CIO

N

4000 4500 5000 5500 6000 6500 7000

0

1000

2000

3000

4000

5000

6000

7000

8000

Curva en Doble 'C'

C3
Norte (m)
D3
Este (m)
C5
Norte (m)
D5
Este (m)
C8
Norte (m)
D8
Este (m)
C10
Norte (m)
D10
Este (m)
C12
Norte (m)
D12
Este (m)
Page 38: calculo de curvas horizontales y verticales

EL

EM

EN

TO

S D

E L

A C

UR

VA

CE3 : 2400.22 7099.803 5908.867

ET : 2771.34 6801.102 6125.416

Coordenadas Localización

Tipo de Punto Abscisa N E

Punto Inicial 0.000 5480.000 5750.000 46°22'38.2"10 5474.850 5741.428 46°21'41.4"20 5469.699 5732.857 46°20'44.4"30 5464.549 5724.285 46°19'47.3"40 5459.398 5715.713 46°18'50.1"50 5454.248 5707.142 46°17'52.7"60 5449.098 5698.570 46°16'55.2"70 5443.947 5689.998 46°15'57.5"80 5438.797 5681.427 46°14'59.7"90 5433.647 5672.855 46°14'1.8"

100 5428.496 5664.283 46°13'3.7"110 5423.346 5655.712 46°12'5.4"120 5418.195 5647.140 46°11'7.1"130 5413.045 5638.568 46°10'8.5"140 5407.895 5629.997 46°9'9.9"150 5402.744 5621.425 46°8'11.0"160 5397.594 5612.853 46°7'12.1"170 5392.444 5604.282 46°6'12.9"180 5387.293 5595.710 46°5'13.7"190 5382.143 5587.138 46°4'14.3"200 5376.992 5578.567 46°3'14.7"210 5371.842 5569.995 46°2'15.0"220 5366.692 5561.423 46°1'15.1"230 5361.541 5552.852 46°0'15.1"240 5356.391 5544.280 45°59'14.9"250 5351.240 5535.708 45°58'14.6"260 5346.090 5527.137 45°57'14.1"270 5340.940 5518.565 45°56'13.5"280 5335.789 5509.993 45°55'12.7"290 5330.639 5501.421 45°54'11.8"300 5325.489 5492.850 45°53'10.7"310 5320.338 5484.278 45°52'9.4"320 5315.188 5475.706 45°51'8.0"330 5310.037 5467.135 45°50'6.5"340 5304.887 5458.563 45°49'4.8"350 5299.737 5449.991 45°48'2.9"360 5294.586 5441.420 45°47'0.9"370 5289.436 5432.848 45°45'58.7"380 5284.286 5424.276 45°44'56.3"390 5279.135 5415.705 45°43'53.8"400 5273.985 5407.133 45°42'51.1"410 5268.834 5398.561 45°41'48.3"

a positivo

Page 39: calculo de curvas horizontales y verticales

420 5263.684 5389.990 45°40'45.3"430 5258.534 5381.418 45°39'42.1"440 5253.383 5372.846 45°38'38.8"450 5248.233 5364.275 45°37'35.3"460 5243.082 5355.703 45°36'31.6"470 5237.932 5347.131 45°35'27.8"480 5232.782 5338.560 45°34'23.8"490 5227.631 5329.988 45°33'19.7"500 5222.481 5321.416 45°32'15.4"510 5217.331 5312.845 45°31'10.9"520 5212.180 5304.273 45°30'6.2"530 5207.030 5295.701 45°29'1.4"540 5201.879 5287.130 45°27'56.4"550 5196.729 5278.558 45°26'51.2"560 5191.579 5269.986 45°25'45.9"570 5186.428 5261.415 45°24'40.4"580 5181.278 5252.843 45°23'34.7"590 5176.128 5244.271 45°22'28.8"600 5170.977 5235.700 45°21'22.8"610 5165.827 5227.128 45°20'16.6"620 5160.676 5218.556 45°19'10.2"630 5155.526 5209.985 45°18'3.7"640 5150.376 5201.413 45°16'56.9"650 5145.225 5192.841 45°15'50.0"660 5140.075 5184.270 45°14'42.9"670 5134.924 5175.698 45°13'35.7"680 5129.774 5167.126 45°12'28.2"690 5124.624 5158.555 45°11'20.6"700 5119.473 5149.983 45°10'12.8"

TE 705.877 5116.447 5144.945 45°9'32.9"710 5114.323 5141.411 45°9'4.8"720 5109.175 5132.838 45°7'56.6"730 5104.033 5124.261 45°6'47.9"740 5098.902 5115.678 45°5'38.8"750 5093.788 5107.085 45°4'28.9"760 5088.693 5098.480 45°3'18.2"770 5083.624 5089.860 45°2'6.4"780 5078.584 5081.223 45°0'53.6"790 5073.579 5072.566 44°59'39.4"800 5068.613 5063.886 44°58'23.8"810 5063.691 5055.181 44°57'6.5"820 5058.818 5046.449 44°55'47.5"830 5053.999 5037.687 44°54'26.6"840 5049.238 5028.892 44°53'3.6"850 5044.541 5020.064 44°51'38.4"860 5039.912 5011.200 44°50'10.8"870 5035.357 5002.298 44°48'40.7"880 5030.881 4993.355 44°47'7.9"

Page 40: calculo de curvas horizontales y verticales

890 5026.489 4984.372 44°45'32.2"900 5022.186 4975.345 44°43'53.6"910 5017.977 4966.274 44°42'11.9"920 5013.869 4957.157 44°40'26.8"930 5009.865 4947.993 44°38'38.4"940 5005.973 4938.782 44°36'46.4"950 5002.197 4929.522 44°34'50.7"960 4998.542 4920.214 44°32'51.2"970 4995.015 4910.857 44°30'47.7"980 4991.622 4901.450 44°28'40.0"990 4988.367 4891.995 44°26'28.2"

1000 4985.258 4882.491 44°24'11.9"1010 4982.299 4872.938 44°21'51.2"1020 4979.497 4863.339 44°19'25.9"1030 4976.858 4853.694 44°16'55.9"1040 4974.387 4844.004 44°14'21.1"1050 4972.090 4834.272 44°11'41.3"1060 4969.974 4824.498 44°8'56.6"1070 4968.045 4814.686 44°6'6.8"1080 4966.308 4804.838 44°3'11.7"1090 4964.770 4794.958 44°0'11.5"1100 4963.436 4785.047 43°57'5.9"1110 4962.313 4775.111 43°53'55.0"1120 4961.406 4765.152 43°50'38.7"

EC1 1128.376 4960.817 4756.797 43°47'50.1"1130 4960.721 4755.176 43°47'17.0"1140 4960.262 4745.186 43°43'49.9"1150 4960.031 4735.189 43°40'17.4"1160 4960.026 4725.190 43°36'39.7"1170 4960.249 4715.192 43°32'56.9"1180 4960.699 4705.203 43°29'9.1"1190 4961.376 4695.226 43°25'16.5"1200 4962.280 4685.267 43°21'19.1"1210 4963.409 4675.331 43°17'17.1"1220 4964.765 4665.424 43°13'10.6"1230 4966.344 4655.549 43°8'59.8"1240 4968.148 4645.714 43°4'44.8"1250 4970.175 4635.921 43°0'25.7"1260 4972.424 4626.178 42°56'2.7"1270 4974.894 4616.488 42°51'36.0"1280 4977.584 4606.856 42°47'5.6"1290 4980.491 4597.289 42°42'31.8"1300 4983.615 4587.790 42°37'54.8"1310 4986.955 4578.364 42°33'14.6"1320 4990.507 4569.016 42°28'31.4"1330 4994.271 4559.752 42°23'45.5"1340 4998.245 4550.576 42°18'56.9"1350 5002.426 4541.492 42°14'5.9"

Page 41: calculo de curvas horizontales y verticales

1360 5006.813 4532.506 42°9'12.7"1370 5011.403 4523.621 42°4'17.3"1380 5016.193 4514.844 41°59'20.1"1390 5021.182 4506.177 41°54'21.1"1400 5026.366 4497.626 41°49'20.6"1410 5031.743 4489.195 41°44'18.8"1420 5037.311 4480.889 41°39'15.7"1430 5043.065 4472.711 41°34'11.7"1440 5049.005 4464.666 41°29'6.9"1450 5055.125 4456.758 41°24'1.5"1460 5061.424 4448.991 41°18'55.7"

CE1 1460.253 5061.585 4448.796 41°18'47.9"1470 5067.897 4441.368 41°13'49.6"1480 5074.540 4433.894 41°8'43.6"1490 5081.347 4426.569 41°3'37.6"1500 5088.314 4419.396 40°58'32.0"1510 5095.436 4412.376 40°53'27.0"1520 5102.707 4405.512 40°48'22.5"1530 5110.123 4398.804 40°43'19.0"1540 5117.678 4392.253 40°38'16.4"1550 5125.369 4385.862 40°33'14.9"1560 5133.189 4379.630 40°28'14.7"1570 5141.135 4373.558 40°23'16.0"1580 5149.201 4367.648 40°18'18.8"1590 5157.383 4361.899 40°13'23.3"1600 5165.676 4356.312 40°8'29.6"1610 5174.077 4350.886 40°3'37.9"1620 5182.579 4345.623 39°58'48.1"1630 5191.180 4340.522 39°54'0.5"1640 5199.874 4335.582 39°49'15.1"1650 5208.659 4330.803 39°44'32.1"1660 5217.528 4326.185 39°39'51.5"1670 5226.480 4321.728 39°35'13.3"1680 5235.508 4317.429 39°30'37.7"1690 5244.611 4313.290 39°26'4.8"1700 5253.784 4309.308 39°21'34.6"1710 5263.023 4305.482 39°17'7.1"1720 5272.326 4301.812 39°12'42.5"1730 5281.687 4298.297 39°8'20.7"1740 5291.105 4294.935 39°4'1.9"1750 5300.575 4291.724 38°59'46.0"1760 5310.095 4288.664 38°55'33.1"1770 5319.662 4285.753 38°51'23.2"1780 5329.272 4282.988 38°47'16.3"1790 5338.923 4280.370 38°43'12.6"1800 5348.612 4277.895 38°39'11.9"1810 5358.336 4275.562 38°35'14.3"1820 5368.093 4273.370 38°31'19.9"

Page 42: calculo de curvas horizontales y verticales

1830 5377.880 4271.316 38°27'28.6"1840 5387.694 4269.398 38°23'40.4"1850 5397.534 4267.615 38°19'55.3"1860 5407.396 4265.964 38°16'13.3"1870 5417.280 4264.444 38°12'34.4"1880 5427.183 4263.052 38°8'58.7"1890 5437.102 4261.787 38°5'26.0"1900 5447.037 4260.645 38°1'56.4"1910 5456.984 4259.625 37°58'29.9"1920 5466.944 4258.725 37°55'6.4"1930 5476.913 4257.943 37°51'45.8"1940 5486.891 4257.275 37°48'28.3"1950 5496.875 4256.720 37°45'13.7"1960 5506.865 4256.276 37°42'2.0"1970 5516.860 4255.940 37°38'53.2"1980 5526.857 4255.710 37°35'47.3"1990 5536.856 4255.583 37°32'44.1"2000 5546.856 4255.558 37°29'43.7"2010 5556.856 4255.631 37°26'46.1"2020 5566.854 4255.801 37°23'51.1"2030 5576.851 4256.065 37°20'58.8"2040 5586.844 4256.420 37°18'9.0"2050 5596.835 4256.864 37°15'21.8"2060 5606.820 4257.395 37°12'37.0"2070 5616.801 4258.011 37°9'54.7"2080 5626.777 4258.708 37°7'14.8"2090 5636.747 4259.485 37°4'37.3"2100 5646.710 4260.339 37°2'2.0"2110 5656.667 4261.268 36°59'28.9"2120 5666.617 4262.269 36°56'58.0"2130 5676.559 4263.340 36°54'29.2"2140 5686.494 4264.478 36°52'2.5"2150 5696.422 4265.681 36°49'37.8"2160 5706.341 4266.947 36°47'15.0"2170 5716.253 4268.273 36°44'54.1"2180 5726.157 4269.656 36°42'35.0"2190 5736.052 4271.095 36°40'17.6"

EC2 2199.457 5745.403 4272.505 36°38'9.3"2200 5745.940 4272.587 0°0'0.0"2210 5755.820 4274.130 0°0'0.0"2220 5765.692 4275.724 0°0'0.0"2230 5775.556 4277.368 0°0'0.0"2240 5785.411 4279.063 0°0'0.0"2250 5795.258 4280.808 0°0'0.0"2260 5805.095 4282.604 0°0'0.0"2270 5814.923 4284.450 0°0'0.0"2280 5824.742 4286.347 0°0'0.0"2290 5834.550 4288.294 0°0'0.0"

Page 43: calculo de curvas horizontales y verticales

2300 5844.349 4290.291 0°0'0.0"2310 5854.137 4292.338 0°0'0.0"2320 5863.915 4294.436 0°0'0.0"2330 5873.681 4296.584 0°0'0.0"2340 5883.437 4298.781 0°0'0.0"2350 5893.181 4301.029 0°0'0.0"2360 5902.913 4303.327 0°0'0.0"2370 5912.634 4305.674 0°0'0.0"2380 5922.342 4308.072 0°0'0.0"2390 5932.038 4310.519 0°0'0.0"2400 5941.721 4313.016 0°0'0.0"2410 5951.392 4315.562 0°0'0.0"2420 5961.049 4318.158 0°0'0.0"2430 5970.693 4320.804 0°0'0.0"2440 5980.323 4323.498 0°0'0.0"2450 5989.939 4326.243 0°0'0.0"2460 5999.541 4329.036 0°0'0.0"2470 6009.128 4331.879 0°0'0.0"2480 6018.701 4334.771 0°0'0.0"2490 6028.258 4337.712 0°0'0.0"2500 6037.801 4340.702 0°0'0.0"2510 6047.328 4343.741 0°0'0.0"2520 6056.839 4346.828 0°0'0.0"2530 6066.335 4349.965 0°0'0.0"2540 6075.814 4353.150 0°0'0.0"2550 6085.277 4356.383 0°0'0.0"2560 6094.723 4359.665 0°0'0.0"2570 6104.152 4362.996 0°0'0.0"2580 6113.564 4366.374 0°0'0.0"2590 6122.958 4369.801 0°0'0.0"2600 6132.335 4373.276 0°0'0.0"2610 6141.694 4376.800 0°0'0.0"2620 6151.034 4380.371 0°0'0.0"2630 6160.357 4383.990 0°0'0.0"2640 6169.660 4387.656 0°0'0.0"2650 6178.945 4391.371 0°0'0.0"2660 6188.210 4395.133 0°0'0.0"2670 6197.456 4398.942 0°0'0.0"2680 6206.682 4402.799 0°0'0.0"2690 6215.889 4406.703 0°0'0.0"2700 6225.075 4410.654 0°0'0.0"2710 6234.241 4414.652 0°0'0.0"2720 6243.386 4418.698 0°0'0.0"2730 6252.511 4422.790 0°0'0.0"2740 6261.614 4426.928 0°0'0.0"2750 6270.696 4431.114 0°0'0.0"2760 6279.756 4435.346 0°0'0.0"2770 6288.795 4439.624 0°0'0.0"

Page 44: calculo de curvas horizontales y verticales

2780 6297.811 4443.949 0°0'0.0"2790 6306.806 4448.320 0°0'0.0"2800 6315.777 4452.737 0°0'0.0"2810 6324.726 4457.199 0°0'0.0"2820 6333.652 4461.708 0°0'0.0"2830 6342.555 4466.262 0°0'0.0"2840 6351.434 4470.862 0°0'0.0"2850 6360.289 4475.508 0°0'0.0"2860 6369.121 4480.199 0°0'0.0"2870 6377.928 4484.935 0°0'0.0"2880 6386.711 4489.716 0°0'0.0"2890 6395.470 4494.542 0°0'0.0"2900 6404.203 4499.413 0°0'0.0"2910 6412.911 4504.329 0°0'0.0"2920 6421.595 4509.289 0°0'0.0"2930 6430.252 4514.294 0°0'0.0"2940 6438.884 4519.343 0°0'0.0"2950 6447.489 4524.436 0°0'0.0"2960 6456.069 4529.573 0°0'0.0"2970 6464.622 4534.755 0°0'0.0"2980 6473.148 4539.980 0°0'0.0"2990 6481.648 4545.248 0°0'0.0"3000 6490.120 4550.561 0°0'0.0"3010 6498.565 4555.916 0°0'0.0"3020 6506.982 4561.315 0°0'0.0"3030 6515.372 4566.757 0°0'0.0"3040 6523.734 4572.242 0°0'0.0"3050 6532.067 4577.770 0°0'0.0"3060 6540.372 4583.340 0°0'0.0"3070 6548.648 4588.953 0°0'0.0"3080 6556.895 4594.608 0°0'0.0"3090 6565.113 4600.306 0°0'0.0"3100 6573.302 4606.045 0°0'0.0"3110 6581.462 4611.827 0°0'0.0"3120 6589.591 4617.650 0°0'0.0"3130 6597.691 4623.515 0°0'0.0"3140 6605.760 4629.421 0°0'0.0"3150 6613.799 4635.369 0°0'0.0"3160 6621.808 4641.357 0°0'0.0"3170 6629.785 4647.387 0°0'0.0"3180 6637.732 4653.458 0°0'0.0"3190 6645.647 4659.569 0°0'0.0"3200 6653.531 4665.721 0°0'0.0"3210 6661.383 4671.913 0°0'0.0"3220 6669.204 4678.145 0°0'0.0"3230 6676.992 4684.417 0°0'0.0"3240 6684.748 4690.729 0°0'0.0"3250 6692.472 4697.081 0°0'0.0"

Page 45: calculo de curvas horizontales y verticales

3260 6700.162 4703.473 0°0'0.0"3270 6707.820 4709.903 0°0'0.0"3280 6715.445 4716.373 0°0'0.0"3290 6723.037 4722.882 0°0'0.0"3300 6730.595 4729.430 0°0'0.0"3310 6738.120 4736.017 0°0'0.0"3320 6745.610 4742.642 0°0'0.0"3330 6753.067 4749.305 0°0'0.0"3340 6760.489 4756.006 0°0'0.0"3350 6767.877 4762.746 0°0'0.0"3360 6775.230 4769.523 0°0'0.0"3370 6782.549 4776.338 0°0'0.0"3380 6789.832 4783.190 0°0'0.0"3390 6797.080 4790.080 0°0'0.0"3400 6804.293 4797.006 0°0'0.0"3410 6811.470 4803.970 0°0'0.0"3420 6818.611 4810.970 0°0'0.0"3430 6825.716 4818.007 0°0'0.0"3440 6832.785 4825.080 0°0'0.0"3450 6839.818 4832.189 0°0'0.0"3460 6846.814 4839.334 0°0'0.0"3470 6853.773 4846.515 0°0'0.0"3480 6860.696 4853.732 0°0'0.0"3490 6867.581 4860.984 0°0'0.0"3500 6874.429 4868.271 0°0'0.0"3510 6881.240 4875.593 0°0'0.0"3520 6888.013 4882.950 0°0'0.0"3530 6894.748 4890.342 0°0'0.0"3540 6901.445 4897.768 0°0'0.0"3550 6908.104 4905.229 0°0'0.0"3560 6914.725 4912.723 0°0'0.0"3570 6921.307 4920.251 0°0'0.0"3580 6927.850 4927.813 0°0'0.0"3590 6934.355 4935.409 0°0'0.0"3600 6940.820 4943.037 0°0'0.0"3610 6947.247 4950.699 0°0'0.0"3620 6953.634 4958.394 0°0'0.0"3630 6959.981 4966.121 0°0'0.0"3640 6966.289 4973.881 0°0'0.0"3650 6972.556 4981.673 0°0'0.0"3660 6978.784 4989.497 0°0'0.0"3670 6984.972 4997.352 0°0'0.0"3680 6991.119 5005.240 0°0'0.0"3690 6997.226 5013.159 0°0'0.0"

CE2 3691.452 6998.109 5014.311 0°0'0.0"750 7000.620 5017.596 35°37'49.9"760 7006.662 5025.564 35°39'0.6"770 7012.662 5033.565 35°40'12.4"

Page 46: calculo de curvas horizontales y verticales

780 7018.617 5041.599 35°41'25.3"790 7024.525 5049.666 35°42'39.4"800 7030.385 5057.769 35°43'54.6"810 7036.196 5065.908 35°45'11.0"820 7041.954 5074.083 35°46'28.8"830 7047.660 5082.296 35°47'47.7"840 7053.310 5090.547 35°49'8.1"850 7058.903 5098.836 35°50'29.7"860 7064.438 5107.165 35°51'52.8"870 7069.912 5115.533 35°53'17.3"880 7075.324 5123.943 35°54'43.3"890 7080.671 5132.393 35°56'10.7"900 7085.952 5140.884 35°57'39.7"910 7091.165 5149.418 35°59'10.2"920 7096.308 5157.994 36°0'42.3"930 7101.379 5166.613 36°2'16.0"940 7106.376 5175.275 36°3'51.4"950 7111.297 5183.980 36°5'28.4"960 7116.141 5192.729 36°7'7.2"970 7120.904 5201.522 36°8'47.6"980 7125.585 5210.359 36°10'29.8"990 7130.182 5219.239 36°12'13.8"

1000 7134.693 5228.164 36°13'59.7"1010 7139.115 5237.133 36°15'47.3"1020 7143.447 5246.146 36°17'36.8"1030 7147.687 5255.203 36°19'28.1"1040 7151.832 5264.303 36°21'21.4"1050 7155.880 5273.447 36°23'16.6"1060 7159.830 5282.634 36°25'13.7"1070 7163.678 5291.864 36°27'12.8"1080 7167.423 5301.136 36°29'13.9"1090 7171.062 5310.450 36°31'17.0"1100 7174.593 5319.806 36°33'22.1"1110 7178.015 5329.202 36°35'29.2"1120 7181.324 5338.639 36°37'38.4"1130 7184.519 5348.115 36°39'49.6"1140 7187.597 5357.629 36°42'2.9"1150 7190.556 5367.181 36°44'18.3"1160 7193.395 5376.770 36°46'35.8"1170 7196.109 5386.394 36°48'55.4"1180 7198.698 5396.053 36°51'17.1"1190 7201.159 5405.745 36°53'41.0"1200 7203.490 5415.470 36°56'7.0"1210 7205.689 5425.225 36°58'35.1"1220 7207.753 5435.010 37°1'5.3"1230 7209.680 5444.822 37°3'37.7"1240 7211.468 5454.661 37°6'12.2"1250 7213.114 5464.524 37°8'48.9"

Page 47: calculo de curvas horizontales y verticales

1260 7214.618 5474.411 37°11'27.7"1270 7215.975 5484.318 37°14'8.6"1280 7217.185 5494.245 37°16'51.7"1290 7218.245 5504.188 37°19'36.9"1300 7219.153 5514.147 37°22'24.2"1310 7219.907 5524.118 37°25'13.6"1320 7220.505 5534.100 37°28'5.1"1330 7220.945 5544.090 37°30'58.7"1340 7221.225 5554.086 37°33'54.3"1350 7221.343 5564.085 37°36'52.0"1360 7221.297 5574.085 37°39'51.8"1370 7221.085 5584.083 37°42'53.5"1380 7220.706 5594.075 37°45'57.3"1390 7220.157 5604.060 37°49'3.0"1400 7219.437 5614.034 37°52'10.6"1410 7218.545 5623.994 37°55'20.2"1420 7217.478 5633.937 37°58'31.7"1430 7216.236 5643.859 38°1'45.0"1440 7214.817 5653.758 38°5'0.1"1450 7213.218 5663.629 38°8'17.0"1460 7211.440 5673.469 38°11'35.7"1470 7209.481 5683.275 38°14'56.1"1480 7207.340 5693.043 38°18'18.1"1490 7205.015 5702.769 38°21'41.8"1500 7202.505 5712.449 38°25'7.1"1510 7199.811 5722.079 38°28'33.8"1520 7196.930 5731.654 38°32'2.1"

EC3 1522.663 7196.132 5734.194 38°32'57.8"1530 7193.863 5741.172 38°35'31.7"1540 7190.610 5750.628 38°39'2.8"1550 7187.172 5760.018 38°42'35.1"1560 7183.551 5769.339 38°46'8.6"1570 7179.748 5778.587 38°49'43.3"1580 7175.764 5787.759 38°53'19.0"1590 7171.601 5796.851 38°56'55.8"1600 7167.261 5805.860 39°0'33.5"1610 7162.744 5814.782 39°4'12.0"1620 7158.054 5823.614 39°7'51.4"1630 7153.191 5832.352 39°11'31.4"1640 7148.158 5840.993 39°15'12.2"1650 7142.957 5849.533 39°18'53.4"1660 7137.589 5857.970 39°22'35.2"1670 7132.057 5866.300 39°26'17.4"1680 7126.362 5874.520 39°30'0.0"1690 7120.508 5882.627 39°33'42.9"1700 7114.495 5890.618 39°37'26.0"1710 7108.328 5898.489 39°41'9.2"1720 7102.007 5906.237 39°44'52.5"

Page 48: calculo de curvas horizontales y verticales

CE3 1723.430 7099.803 5908.867 39°46'9.1"1730 7095.535 5913.861 39°48'35.8"1740 7088.918 5921.358 39°52'19.0"1750 7082.161 5928.730 39°56'2.1"1760 7075.272 5935.978 39°59'44.9"1770 7068.255 5943.103 40°3'27.6"1780 7061.118 5950.107 40°7'9.9"1790 7053.864 5956.991 40°10'52.0"1800 7046.501 5963.757 40°14'33.6"1810 7039.034 5970.408 40°18'14.9"1820 7031.468 5976.946 40°21'55.7"1830 7023.807 5983.374 40°25'36.1"1840 7016.057 5989.694 40°29'16.0"1850 7008.223 5995.909 40°32'55.5"1860 7000.310 6002.022 40°36'34.5"1870 6992.321 6008.037 40°40'13.0"1880 6984.262 6013.957 40°43'51.0"1890 6976.135 6019.785 40°47'28.6"1900 6967.947 6025.525 40°51'5.7"1910 6959.700 6031.180 40°54'42.3"1920 6951.398 6036.755 40°58'18.5"1930 6943.045 6042.253 41°1'54.3"1940 6934.644 6047.678 41°5'29.6"1950 6926.200 6053.034 41°9'4.6"1960 6917.714 6058.325 41°12'39.2"1970 6909.192 6063.557 41°16'13.5"1980 6900.635 6068.732 41°19'47.5"1990 6892.047 6073.855 41°23'21.2"2000 6883.431 6078.930 41°26'54.7"2010 6874.789 6083.963 41°30'28.0"2020 6866.126 6088.956 41°34'1.1"2030 6857.442 6093.916 41°37'34.1"2040 6848.742 6098.846 41°41'6.9"2050 6840.027 6103.751 41°44'39.7"2060 6831.301 6108.635 41°48'12.5"2070 6822.566 6113.504 41°51'45.3"2080 6813.825 6118.361 41°55'18.2"2090 6805.080 6123.211 41°58'51.2"

ET 2094.548 6801.102 6125.416 42°0'28.1"2100 6796.334 6128.059 42°2'24.3"2110 6787.588 6132.908 42°5'57.5"2120 6778.842 6137.756 42°9'30.9"2130 6770.096 6142.604 42°13'4.5"2140 6761.349 6147.452 42°16'38.2"2150 6752.603 6152.300 42°20'12.0"2160 6743.857 6157.148 42°23'46.0"2170 6735.111 6161.996 42°27'20.1"2180 6726.365 6166.844 42°30'54.4"

Page 49: calculo de curvas horizontales y verticales

2190 6717.618 6171.692 42°34'28.9"2200 6708.872 6176.540 42°38'3.5"2210 6700.126 6181.389 42°41'38.2"2220 6691.380 6186.237 42°45'13.1"2230 6682.634 6191.085 42°48'48.1"2240 6673.887 6195.933 42°52'23.3"2250 6665.141 6200.781 42°55'58.7"2260 6656.395 6205.629 42°59'34.1"2270 6647.649 6210.477 43°3'9.8"2280 6638.903 6215.325 43°6'45.5"2290 6630.156 6220.173 43°10'21.5"2300 6621.410 6225.021 43°13'57.5"2310 6612.664 6229.870 43°17'33.7"2320 6603.918 6234.718 43°21'10.1"2330 6595.172 6239.566 43°24'46.6"2340 6586.425 6244.414 43°28'23.2"2350 6577.679 6249.262 43°32'0.0"2360 6568.933 6254.110 43°35'36.9"2370 6560.187 6258.958 43°39'14.0"2380 6551.441 6263.806 43°42'51.2"2390 6542.694 6268.654 43°46'28.6"2400 6533.948 6273.502 43°50'6.1"2410 6525.202 6278.350 43°53'43.7"2420 6516.456 6283.199 43°57'21.5"2430 6507.710 6288.047 44°0'59.4"2440 6498.964 6292.895 44°4'37.5"2450 6490.217 6297.743 44°8'15.7"2460 6481.471 6302.591 44°11'54.0"2470 6472.725 6307.439 44°15'32.5"2480 6463.979 6312.287 44°19'11.1"2490 6455.233 6317.135 44°22'49.9"2500 6446.486 6321.983 44°26'28.8"2510 6437.740 6326.831 44°30'7.9"2520 6428.994 6331.680 44°33'47.0"2530 6420.248 6336.528 44°37'26.3"2540 6411.502 6341.376 44°41'5.8"2550 6402.755 6346.224 44°44'45.4"2560 6394.009 6351.072 44°48'25.1"2570 6385.263 6355.920 44°52'5.0"2580 6376.517 6360.768 44°55'45.0"2590 6367.771 6365.616 44°59'25.1"2600 6359.024 6370.464 45°3'5.4"2610 6350.278 6375.312 45°6'45.8"2620 6341.532 6380.160 45°10'26.3"2630 6332.786 6385.009 45°14'7.0"2640 6324.040 6389.857 45°17'47.8"2650 6315.293 6394.705 45°21'28.7"2660 6306.547 6399.553 45°25'9.8"

Page 50: calculo de curvas horizontales y verticales

2670 6297.801 6404.401 45°28'51.0"2680 6289.055 6409.249 45°32'32.3"2690 6280.309 6414.097 45°36'13.8"2700 6271.562 6418.945 45°39'55.4"2710 6262.816 6423.793 45°43'37.1"2720 6254.070 6428.641 45°47'19.0"2730 6245.324 6433.490 45°51'0.9"2740 6236.578 6438.338 45°54'43.1"2750 6227.831 6443.186 45°58'25.3"2760 6219.085 6448.034 46°2'7.7"2770 6210.339 6452.882 46°5'50.2"2780 6201.593 6457.730 46°9'32.8"2790 6192.847 6462.578 46°13'15.6"2800 6184.100 6467.426 46°16'58.4"2810 6175.354 6472.274 46°20'41.5"2820 6166.608 6477.122 46°24'24.6"2830 6157.862 6481.971 46°28'7.9"2840 6149.116 6486.819 46°31'51.2"2850 6140.369 6491.667 46°35'34.8"2860 6131.623 6496.515 46°39'18.4"2870 6122.877 6501.363 46°43'2.1"2880 6114.131 6506.211 46°46'46.0"2890 6105.385 6511.059 46°50'30.0"2900 6096.638 6515.907 46°54'14.2"2910 6087.892 6520.755 46°57'58.4"2920 6079.146 6525.603 47°1'42.8"2930 6070.400 6530.451 47°5'27.3"2940 6061.654 6535.300 47°9'11.9"2950 6052.907 6540.148 47°12'56.7"2960 6044.161 6544.996 47°16'41.5"2970 6035.415 6549.844 47°20'26.5"2980 6026.669 6554.692 47°24'11.6"2990 6017.923 6559.540 47°27'56.8"3000 6009.176 6564.388 47°31'42.1"3010 6000.430 6569.236 47°35'27.6"3020 5991.684 6574.084 47°39'13.2"3030 5982.938 6578.932 47°42'58.8"3040 5974.192 6583.781 47°46'44.6"3050 5965.445 6588.629 47°50'30.6"3060 5956.699 6593.477 47°54'16.6"3070 5947.953 6598.325 47°58'2.8"3080 5939.207 6603.173 48°1'49.0"3090 5930.461 6608.021 48°5'35.4"3100 5921.715 6612.869 48°9'21.9"3110 5912.968 6617.717 48°13'8.5"3120 5904.222 6622.565 48°16'55.2"3130 5895.476 6627.413 48°20'42.1"3140 5886.730 6632.261 48°24'29.0"

Page 51: calculo de curvas horizontales y verticales

3150 5877.984 6637.110 48°28'16.1"3160 5869.237 6641.958 48°32'3.2"3170 5860.491 6646.806 48°35'50.5"3180 5851.745 6651.654 48°39'37.9"3190 5842.999 6656.502 48°43'25.4"3200 5834.253 6661.350 48°47'13.0"3210 5825.506 6666.198 48°51'0.7"3220 5816.760 6671.046 48°54'48.5"3230 5808.014 6675.894 48°58'36.5"3240 5799.268 6680.742 49°2'24.5"3250 5790.522 6685.591 49°6'12.7"3260 5781.775 6690.439 49°10'0.9"3270 5773.029 6695.287 49°13'49.3"3280 5764.283 6700.135 49°17'37.7"3290 5755.537 6704.983 49°21'26.3"3300 5746.791 6709.831 49°25'15.0"3310 5738.044 6714.679 49°29'3.8"3320 5729.298 6719.527 49°32'52.6"3330 5720.552 6724.375 49°36'41.6"3340 5711.806 6729.223 49°40'30.7"3350 5703.060 6734.072 49°44'19.9"3360 5694.313 6738.920 49°48'9.2"3370 5685.567 6743.768 49°51'58.6"3380 5676.821 6748.616 49°55'48.1"3390 5668.075 6753.464 49°59'37.7"3400 5659.329 6758.312 50°3'27.4"3410 5650.582 6763.160 50°7'17.2"3420 5641.836 6768.008 50°11'7.0"3430 5633.090 6772.856 50°14'57.0"3440 5624.344 6777.704 50°18'47.1"3450 5615.598 6782.552 50°22'37.3"3460 5606.851 6787.401 50°26'27.6"3470 5598.105 6792.249 50°30'17.9"3480 5589.359 6797.097 50°34'8.4"3490 5580.613 6801.945 50°37'59.0"3500 5571.867 6806.793 50°41'49.6"3510 5563.120 6811.641 50°45'40.4"3520 5554.374 6816.489 50°49'31.2"3530 5545.628 6821.337 50°53'22.2"3540 5536.882 6826.185 50°57'13.2"

Punto Final 3547.868 5530.000 6830.000 51°0'15.0"

Page 52: calculo de curvas horizontales y verticales

Salida (m)

272°0'0.0"

3547.868

371.118

435.052

20°50'47.6"

10°12'53.7"

366.235

44.586

184.743

19.500

0.000

200.767

4000 4500 5000 5500 6000 6500 7000

0

1000

2000

3000

4000

5000

6000

7000

8000

Curva en Doble 'C'

Calcular

Page 53: calculo de curvas horizontales y verticales

Localización

Distancia _pline7943.104 5750.0000,5480.00007933.346 5741.42832699,5474.849619257923.589 5732.85665399,5469.69923857913.832 5724.28498098,5464.548857757904.076 5715.71330797,5459.3984777894.320 5707.14163496,5454.248096257884.565 5698.56996196,5449.097715517874.811 5689.99828895,5443.947334767865.057 5681.42661594,5438.796954017855.304 5672.85494294,5433.646573267845.551 5664.28326993,5428.496192517835.799 5655.71159692,5423.345811767826.048 5647.13992392,5418.195431017816.298 5638.56825091,5413.045050267806.548 5629.9965779,5407.894669517796.798 5621.42490489,5402.744288767787.050 5612.85323189,5397.593908017777.302 5604.28155888,5392.443527277767.554 5595.70988587,5387.293146527757.807 5587.13821287,5382.142765777748.061 5578.56653986,5376.992385027738.316 5569.99486685,5371.842004277728.571 5561.42319385,5366.691623527718.827 5552.85152084,5361.541242777709.083 5544.27984783,5356.390862027699.340 5535.70817482,5351.240481277689.598 5527.13650182,5346.090100527679.856 5518.56482881,5340.939719777670.116 5509.9931558,5335.789339037660.375 5501.4214828,5330.638958287650.636 5492.84980979,5325.488577537640.897 5484.27813678,5320.338196787631.159 5475.70646378,5315.187816037621.421 5467.13479077,5310.037435287611.684 5458.56311776,5304.887054537601.948 5449.99144475,5299.736673787592.213 5441.41977175,5294.586293037582.478 5432.84809874,5289.435912287572.744 5424.27642573,5284.285531537563.010 5415.70475273,5279.135150797553.278 5407.13307972,5273.984770047543.546 5398.56140671,5268.83438929

Page 54: calculo de curvas horizontales y verticales

7533.814 5389.98973371,5263.684008547524.084 5381.4180607,5258.533627797514.354 5372.84638769,5253.383247047504.625 5364.27471468,5248.232866297494.896 5355.70304168,5243.082485547485.168 5347.13136867,5237.932104797475.441 5338.55969566,5232.781724047465.715 5329.98802266,5227.631343297455.989 5321.41634965,5222.480962547446.265 5312.84467664,5217.33058187436.540 5304.27300363,5212.180201057426.817 5295.70133063,5207.02982037417.094 5287.12965762,5201.879439557407.372 5278.55798461,5196.72905887397.651 5269.98631161,5191.578678057387.931 5261.4146386,5186.42829737378.211 5252.84296559,5181.277916557368.492 5244.27129259,5176.12753587358.774 5235.69961958,5170.977155057349.057 5227.12794657,5165.82677437339.340 5218.55627356,5160.676393567329.624 5209.98460056,5155.526012817319.909 5201.41292755,5150.375632067310.194 5192.84125454,5145.225251317300.481 5184.26958154,5140.074870567290.768 5175.69790853,5134.924489817281.056 5167.12623552,5129.774109067271.345 5158.55456252,5124.623728317261.634 5149.98288951,5119.473347567255.928 5144.94539057,5116.446512847251.924 5141.41118414,5114.323020687242.216 5132.83824308,5109.174751117232.510 5124.26139357,5104.032996197222.809 5115.67787963,5098.902375577213.112 5107.08496328,5093.78751967203.422 5098.479932,5088.693073767193.741 5089.86010629,5083.623702947184.069 5081.22284726,5078.584095717174.408 5072.56556424,5073.578968367164.759 5063.88572255,5068.613068977155.126 5055.18085129,5063.691181187145.508 5046.44855123,5058.818127887135.908 5037.68650283,5053.998774657126.329 5028.89247433,5049.238033047116.772 5020.06433001,5044.540863577107.239 5011.20003852,5039.912278457097.732 5002.29768139,5035.35734417088.255 4993.35546164,5030.88118323

Page 55: calculo de curvas horizontales y verticales

7078.810 4984.37171252,5026.488976727069.399 4975.34490643,5022.185965067060.026 4966.27366396,5017.977449427050.694 4957.15676305,5013.868792327041.405 4947.9931483,5009.865417887032.164 4938.78194044,5005.972811577022.974 4929.52244588,5002.196519527013.839 4920.21416641,4998.542147257004.762 4910.85680898,4995.015357946995.749 4901.45029564,4991.621870046986.803 4891.99477345,4988.367454366977.930 4882.4906246,4985.257930466969.134 4872.93847644,4982.299162486960.421 4863.33921164,4979.497054176951.795 4853.69397828,4976.857543326943.263 4844.00419995,4974.386595396934.830 4834.27158582,4972.090196376926.502 4824.49814053,4969.974344926918.286 4814.68617408,4968.045043616910.187 4804.83831148,4966.308289396902.214 4794.95750221,4964.770063186894.373 4785.04702944,4963.436318526886.670 4775.11051897,4962.312969456879.115 4765.15194779,4961.405877346872.905 4756.79673244,4960.816740776871.714 4755.17565234,4960.720833046864.473 4745.18639267,4960.262153696857.399 4735.18928911,4960.030601886850.495 4725.18950526,4960.026297226843.764 4715.19220606,4960.249241916837.212 4705.20255518,4960.699320826830.842 4695.22571235,4961.376301466824.657 4685.26683067,4962.279834186818.662 4675.33105397,4963.40945236812.860 4665.42351415,4964.764572366807.255 4655.54932852,4966.344494426801.849 4645.71359716,4968.148402466796.647 4635.92140028,4970.175364746791.651 4626.17779564,4972.424334326786.865 4616.48781586,4974.894149596782.290 4606.85646588,4977.583534886777.931 4597.28872035,4980.49110116773.790 4587.7895211,4983.615346486769.869 4578.36377451,4986.954657316766.171 4569.01634904,4990.507308836762.698 4559.75207271,4994.271466066759.452 4550.57573057,4998.24518486756.435 4541.49206226,5002.42641259

Page 56: calculo de curvas horizontales y verticales

6753.650 4532.50575957,5006.812989796751.097 4523.62146397,5011.402650726748.778 4514.84376427,5016.193024786746.695 4506.17719421,5021.181637716744.850 4497.62623012,5026.365912866743.242 4489.19528864,5031.743172526741.874 4480.8887244,5037.310639296740.746 4472.71082781,5043.065437556739.858 4464.6658228,5049.004594896739.212 4456.75786466,5055.125043716738.808 4448.99103791,5061.423622766738.801 4448.79617011,5061.585452366738.645 4441.36819606,5067.896967746738.721 4433.89378009,5074.539598986739.036 4426.56905858,5081.346990356739.585 4419.39600051,5088.314053516740.366 4412.37638742,5095.435732246741.376 4405.51181767,5102.707007596742.613 4398.80371091,5110.122902826744.073 4392.25331257,5117.678488076745.753 4385.86169833,5125.368884786747.651 4379.6297788,5133.189269896749.761 4373.55830405,5141.134879766752.083 4367.6478683,5149.201013886754.610 4361.89891458,5157.383038386757.342 4356.31173937,5165.676389216760.272 4350.88649727,5174.076575196763.399 4345.62320564,5182.579180826766.718 4340.52174926,5191.17986886770.226 4335.58188489,5199.874382486773.919 4330.80324588,5208.658547976777.793 4326.18534669,5217.528276126781.845 4321.72758734,5226.479564316786.070 4317.42925791,5235.508498016790.465 4313.28954287,5244.611252196795.026 4309.30752543,5253.784092576799.749 4305.48219175,5263.023376666804.631 4301.81243516,5272.325554656809.668 4298.29706024,5281.687170176814.855 4294.93478687,5291.104860856820.190 4291.72425417,5300.575358786825.669 4288.66402436,5310.09549086831.287 4285.75258653,5319.662178676837.041 4282.98836036,5329.272439096842.928 4280.3696997,5338.923383676848.944 4277.89489605,5348.612218656855.086 4275.56218203,5358.336244656861.349 4273.36973465,5368.09285624

Page 57: calculo de curvas horizontales y verticales

6867.731 4271.31567856,5377.879541386874.228 4269.39808914,5387.693880876880.836 4267.61499557,5397.533547596887.553 4265.96438373,5407.396305736894.375 4264.44419903,5417.280009956901.299 4263.05234915,5427.182604376908.321 4261.78670668,5437.102121616915.440 4260.64511164,5447.036681676922.650 4259.62537392,5456.984490816929.951 4258.72527563,5466.943840326937.338 4257.94257334,5476.913105266944.808 4257.27500025,5486.890743186952.360 4256.72026821,5496.875292716959.989 4256.27606969,5506.865372236967.695 4255.94007969,5516.859678356975.472 4255.70995746,5526.856984486983.321 4255.58334825,5536.85613936991.236 4255.55788487,5546.856065256999.217 4255.63118921,5556.85575697007.261 4255.80087371,5566.854279387015.365 4256.06454265,5576.850766817023.528 4256.41979347,5586.844420567031.746 4256.86421794,5596.834507687040.018 4257.39540325,5606.82035927048.341 4258.01093306,5616.801368417056.714 4258.70838848,5626.776989217065.135 4259.48534891,5636.746734377073.601 4260.33939291,5646.710173817082.110 4261.26809892,5656.666932917090.662 4262.26904593,5666.616690717099.253 4263.33981413,5676.559178267107.882 4264.47798548,5686.49417687116.548 4265.68114414,5696.421516087125.248 4266.94687697,5706.34107267133.982 4268.2727739,5716.252767837142.747 4269.65642825,5726.156566547151.542 4271.09543701,5736.0524757159.885 4272.5049356,5745.40273647

0.000 4272.58729606,5745.939636880.000 4274.13027253,5755.81986990.000 4275.72389636,5765.692060330.000 4277.36812563,5775.555948560.000 4279.06291709,5785.411275170.000 4280.80822619,5795.2577810.000 4282.60400702,5805.095207090.000 4284.45021235,5814.923294730.000 4286.34679364,5824.741785470.000 4288.293701,5834.55042108

Page 58: calculo de curvas horizontales y verticales

0.000 4290.29088323,5844.348943620.000 4292.33828782,5854.13709540.000 4294.43586091,5863.914619010.000 4296.58354736,5873.681257320.000 4298.78129066,5883.436753470.000 4301.02903303,5893.180850920.000 4303.32671536,5902.91329340.000 4305.67427722,5912.633824980.000 4308.07165687,5922.342190020.000 4310.51879127,5932.03813320.000 4313.01561606,5941.721399530.000 4315.56206557,5951.391734360.000 4318.15807284,5961.048883370.000 4320.8035696,5970.69259260.000 4323.49848628,5980.322608430.000 4326.242752,5989.938677610.000 4329.0362946,5999.540547260.000 4331.87904061,6009.127964840.000 4334.77091526,6018.700678240.000 4337.71184251,6028.258435710.000 4340.70174501,6037.800985880.000 4343.74054414,6047.328077820.000 4346.82815999,6056.839460960.000 4349.96451134,6066.334885170.000 4353.14951572,6075.814100750.000 4356.38308936,6085.27685840.000 4359.66514724,6094.722909260.000 4362.99560304,6104.152004930.000 4366.37436917,6113.563897420.000 4369.80135677,6122.958339220.000 4373.27647573,6132.335083280.000 4376.79963465,6141.693882990.000 4380.37074087,6151.034492240.000 4383.98970049,6160.356665390.000 4387.65641832,6169.660157270.000 4391.37079795,6178.944723220.000 4395.13274169,6188.210119060.000 4398.9421506,6197.456101140.000 4402.79892451,6206.682426290.000 4406.70296199,6215.888851890.000 4410.65416036,6225.075135810.000 4414.65241571,6234.241036470.000 4418.69762291,6243.386312820.000 4422.78967556,6252.510724360.000 4426.92846606,6261.614031130.000 4431.11388555,6270.695993720.000 4435.34582397,6279.75637330.000 4439.62417003,6288.79493158

Page 59: calculo de curvas horizontales y verticales

0.000 4443.9488112,6297.811430880.000 4448.31963377,6306.805634060.000 4452.73652278,6315.777304610.000 4457.19936208,6324.726206560.000 4461.70803429,6333.65210460.000 4466.26242086,6342.554763970.000 4470.862402,6351.433950550.000 4475.50785675,6360.289430830.000 4480.19866294,6369.120971930.000 4484.9346972,6377.928341590.000 4489.71583498,6386.711308190.000 4494.54195056,6395.469640750.000 4499.412917,6404.203108950.000 4504.32860621,6412.91148310.000 4509.28888892,6421.59453420.000 4514.29363468,6430.252033880.000 4519.34271187,6438.883754470.000 4524.43598771,6447.489468970.000 4529.57332825,6456.068951070.000 4534.75459839,6464.621975130.000 4539.97966187,6473.148316220.000 4545.24838128,6481.647750130.000 4550.56061806,6490.120053310.000 4555.9162325,6498.565002970.000 4561.31508377,6506.982377020.000 4566.75702988,6515.371954080.000 4572.24192771,6523.733513540.000 4577.76963303,6532.06683550.000 4583.34000046,6540.371700790.000 4588.95288351,6548.647891020.000 4594.60813457,6556.895188540.000 4600.30560491,6565.113376450.000 4606.04514471,6573.302238620.000 4611.82660302,6581.461559720.000 4617.64982779,6589.591125150.000 4623.51466589,6597.690721120.000 4629.42096308,6605.760134630.000 4635.36856403,6613.799153460.000 4641.35731234,6621.80756620.000 4647.3870505,6629.785162240.000 4653.45761994,6637.731731780.000 4659.56886102,6645.647065840.000 4665.72061302,6653.530956260.000 4671.91271416,6661.383195710.000 4678.14500159,6669.203577680.000 4684.41731143,6676.991896510.000 4690.72947871,6684.747947380.000 4697.08133743,6692.47152631

Page 60: calculo de curvas horizontales y verticales

0.000 4703.47272056,6700.16243020.000 4709.90346,6707.820456780.000 4716.37338665,6715.445404650.000 4722.88233034,6723.037073290.000 4729.43011991,6730.595263060.000 4736.01658316,6738.119775190.000 4742.64154688,6745.610411780.000 4749.30483683,6753.066975860.000 4756.0062778,6760.489271320.000 4762.74569352,6767.877102960.000 4769.52290679,6775.230276510.000 4776.33773935,6782.548598590.000 4783.190012,6789.831876730.000 4790.07954452,6797.079919390.000 4797.00615574,6804.292535960.000 4803.96966349,6811.469536770.000 4810.96988466,6818.610733070.000 4818.00663513,6825.715937050.000 4825.07972986,6832.784961860.000 4832.18898283,6839.81762160.000 4839.33420709,6846.813731320.000 4846.51521472,6853.773107030.000 4853.73181687,6860.695565710.000 4860.98382377,6867.580925310.000 4868.27104469,6874.429004760.000 4875.59328799,6881.239623960.000 4882.95036111,6888.01260380.000 4890.34207056,6894.747766170.000 4897.76822197,6901.444933950.000 4905.22862002,6908.1039310.000 4912.72306853,6914.72458220.000 4920.2513704,6921.306713450.000 4927.81332765,6927.850151640.000 4935.40874142,6934.354724690.000 4943.03741195,6940.820261550.000 4950.69913862,6947.246592170.000 4958.39371994,6953.633547550.000 4966.12095356,6959.980959740.000 4973.88063627,6966.288661790.000 4981.67256398,6972.556487830.000 4989.4965318,6978.784273030.000 4997.35233395,6984.97185360.000 5005.23976386,6991.119066820.000 5013.15861408,6997.225751030.000 5014.31134675,6998.10930413

8613.069 5017.59649063,7000.619868678622.622 5025.56441527,7006.662379998632.161 5033.56480251,7012.66184273

Page 61: calculo de curvas horizontales y verticales

8641.684 5041.59852987,7018.61658518651.190 5049.66644883,7024.524918018660.678 5057.76938374,7030.385134848670.148 5065.90813086,7036.195511078679.599 5074.08345718,7041.954304048689.030 5082.29609939,7047.65975278698.439 5090.5467628,7053.31007748707.827 5098.83612013,7058.903479718717.191 5107.16481049,7064.438142258726.531 5115.53343814,7069.912228588735.845 5123.94257137,7075.323883158745.134 5132.39274131,7080.671231198754.394 5140.88444076,7085.952378748763.626 5149.41812292,7091.165412668772.827 5157.99420026,7096.30840078781.997 5166.61304321,7101.379391628791.135 5175.27497892,7106.376415298800.239 5183.98029006,7111.297482928809.307 5192.72921348,7116.14058738818.339 5201.52193896,7120.903703028827.332 5210.35860788,7125.584786878836.286 5219.23931198,7130.181778168845.199 5228.16409199,7134.692599158854.068 5237.1329363,7139.115155558862.894 5246.14577968,7143.447337028871.673 5255.20250192,7147.687017758880.405 5264.30292646,7151.832057088889.087 5273.44681907,7155.880300248897.718 5282.63388652,7159.829579028906.296 5291.86377518,7163.677712628914.819 5301.13606969,7167.422508538923.285 5310.45029164,7171.061763388931.692 5319.80589817,7174.593264028940.039 5329.20228064,7178.01478858948.323 5338.63876334,7181.324107198956.542 5348.11460208,7184.518983998964.694 5357.62898293,7187.597177588972.777 5367.18102088,7190.556442678980.789 5376.76975856,7193.394531478988.728 5386.39416495,7196.109195068996.591 5396.05313413,7198.698184999004.376 5405.74548402,7201.159254829012.080 5415.46995517,7203.49016189019.702 5425.22520957,7205.688668639027.238 5435.00982949,7207.752545279034.687 5444.82231632,7209.67957089042.046 5454.66108948,7211.467535459049.312 5464.52448538,7213.11424257

Page 62: calculo de curvas horizontales y verticales

9056.483 5474.41075632,7214.617510819063.556 5484.31806961,7215.975176289070.528 5494.24450653,7217.185094829077.398 5504.1880615,7218.245144379084.161 5514.1466412,7219.153227419090.816 5524.11806383,7219.907273439097.360 5534.10005833,7220.505241519103.790 5544.09026377,7220.945123029110.102 5554.08622869,7221.224944339116.295 5564.08541062,7221.342769599122.365 5574.08517561,7221.296703689128.310 5584.08279782,7221.084895129134.127 5594.07545926,7220.70553919139.812 5604.06024953,7220.156880629145.362 5614.03416574,7219.437217649150.776 5623.99411243,7218.54490439156.049 5633.93690166,7217.478354299161.180 5643.85925313,7216.236044179166.164 5653.75779449,7214.816516829170.999 5663.62906168,7213.218384949175.681 5673.46949941,7211.440334639180.209 5683.27546178,7209.481128959184.579 5693.04321297,7207.339611629188.787 5702.76892809,7205.014710719192.832 5712.44869416,7202.505442419196.709 5722.07851118,7199.810914819200.417 5731.65429339,7196.930331739201.375 5734.19406551,7196.131864999203.951 5741.17167054,7193.863299519207.312 5750.62759664,7190.61026139210.497 5760.01792408,7187.172449979213.505 5769.33904269,7183.551187219216.336 5778.58736893,7179.747865249218.988 5787.75934722,7175.763946279221.461 5796.85145135,7171.600961929223.754 5805.86018581,7167.260512699225.866 5814.78208715,7162.744267289227.796 5823.6137253,7158.053961989229.544 5832.35170488,7153.191400019231.109 5840.99266654,7148.15845089232.490 5849.53328822,7142.957049319233.688 5857.97028642,7137.589195229234.702 5866.3004175,7132.056952259235.531 5874.5204789,7126.362447299236.175 5882.62731037,7120.507869629236.635 5890.6177952,7114.495470079236.909 5898.4888614,7108.327560139236.998 5906.23748291,7102.0065111

Page 63: calculo de curvas horizontales y verticales

9236.986 5908.86674978,7099.803361839236.902 5913.86084354,7095.534942459236.625 5921.35818036,7088.917772939236.171 5928.73025974,7082.161323959235.546 5935.97813554,7075.271794659234.755 5943.10311378,7068.25523159233.805 5950.10674025,7061.117525939232.700 5956.99078847,7053.864412739231.445 5963.75724795,7046.501469129230.047 5970.40831279,7039.034114429228.512 5976.94637054,7031.467610429226.843 5983.37399152,7023.807062249225.047 5989.69391837,7016.057419839223.130 5995.90905604,7008.223479889221.096 6002.02246207,7000.30988839218.952 6008.03733731,6992.321143089216.702 6013.95701687,6984.261597659214.352 6019.78496155,6976.135464549211.907 6025.52474949,6967.946819479209.373 6031.18006826,6959.699605779206.755 6036.75470725,6951.397639139204.058 6042.2525503,6943.044612559201.288 6047.67756877,6934.644101719198.449 6053.03381483,6926.199570479195.547 6058.32541503,6917.714376649192.587 6063.55656417,6909.191777969189.574 6068.73151943,6900.634938279186.513 6073.85459471,6892.046933819183.410 6078.93015524,6883.43075989180.268 6083.96261238,6874.789336979177.095 6088.9564186,6866.12551849173.894 6093.91606265,6857.442096359170.670 6098.84606491,6848.741809289167.429 6103.75097284,6840.027348829164.175 6108.6353566,6831.3013679160.914 6113.50380473,6822.566483349157.650 6118.36091992,6813.825292179154.389 6123.21131493,6805.080369869152.908 6125.41643347,6801.102401599151.135 6128.05948359,6796.334212969147.891 6132.90757979,6787.588015899144.656 6137.755676,6778.841818829141.432 6142.6037722,6770.095621759138.217 6147.4518684,6761.349424679135.012 6152.2999646,6752.60322769131.817 6157.14806081,6743.857030539128.632 6161.99615701,6735.110833469125.456 6166.84425321,6726.36463639

Page 64: calculo de curvas horizontales y verticales

9122.290 6171.69234941,6717.618439329119.135 6176.54044562,6708.872242259115.989 6181.38854182,6700.126045179112.853 6186.23663802,6691.37984819109.727 6191.08473422,6682.633651039106.611 6195.93283043,6673.887453969103.504 6200.78092663,6665.141256899100.408 6205.62902283,6656.395059829097.322 6210.47711903,6647.648862759094.245 6215.32521524,6638.902665679091.179 6220.17331144,6630.15646869088.122 6225.02140764,6621.410271539085.076 6229.86950384,6612.664074469082.039 6234.71760005,6603.917877399079.013 6239.56569625,6595.171680329075.996 6244.41379245,6586.425483259072.990 6249.26188865,6577.679286179069.993 6254.10998486,6568.93308919067.007 6258.95808106,6560.186892039064.030 6263.80617726,6551.440694969061.064 6268.65427346,6542.694497899058.108 6273.50236967,6533.948300829055.161 6278.35046587,6525.202103759052.225 6283.19856207,6516.455906689049.299 6288.04665827,6507.70970969046.383 6292.89475448,6498.963512539043.478 6297.74285068,6490.217315469040.582 6302.59094688,6481.471118399037.696 6307.43904308,6472.724921329034.821 6312.28713929,6463.978724259031.956 6317.13523549,6455.232527189029.101 6321.98333169,6446.48633019026.256 6326.83142789,6437.740133039023.421 6331.6795241,6428.993935969020.597 6336.5276203,6420.247738899017.782 6341.3757165,6411.501541829014.978 6346.2238127,6402.755344759012.184 6351.07190891,6394.009147689009.401 6355.92000511,6385.26295069006.627 6360.76810131,6376.516753539003.864 6365.61619751,6367.770556469001.111 6370.46429372,6359.024359398998.369 6375.31238992,6350.278162328995.636 6380.16048612,6341.531965258992.914 6385.00858232,6332.785768188990.203 6389.85667853,6324.03957118987.501 6394.70477473,6315.293374038984.810 6399.55287093,6306.54717696

Page 65: calculo de curvas horizontales y verticales

8982.129 6404.40096713,6297.800979898979.459 6409.24906333,6289.054782828976.799 6414.09715954,6280.308585758974.149 6418.94525574,6271.562388688971.510 6423.79335194,6262.81619168968.881 6428.64144814,6254.069994538966.262 6433.48954435,6245.323797468963.654 6438.33764055,6236.577600398961.056 6443.18573675,6227.831403328958.469 6448.03383295,6219.085206258955.892 6452.88192916,6210.339009188953.325 6457.73002536,6201.59281218950.769 6462.57812156,6192.846615038948.223 6467.42621776,6184.100417968945.688 6472.27431397,6175.354220898943.163 6477.12241017,6166.608023828940.649 6481.97050637,6157.861826758938.145 6486.81860257,6149.115629688935.652 6491.66669878,6140.369432618933.169 6496.51479498,6131.623235538930.697 6501.36289118,6122.877038468928.235 6506.21098738,6114.130841398925.784 6511.05908359,6105.384644328923.343 6515.90717979,6096.638447258920.913 6520.75527599,6087.892250188918.493 6525.60337219,6079.146053118916.084 6530.4514684,6070.399856038913.685 6535.2995646,6061.653658968911.297 6540.1476608,6052.907461898908.920 6544.995757,6044.161264828906.553 6549.84385321,6035.415067758904.197 6554.69194941,6026.668870688901.851 6559.54004561,6017.922673618899.516 6564.38814181,6009.176476538897.192 6569.23623802,6000.430279468894.878 6574.08433422,5991.684082398892.575 6578.93243042,5982.937885328890.283 6583.78052662,5974.191688258888.001 6588.62862283,5965.445491188885.730 6593.47671903,5956.699294118883.470 6598.32481523,5947.953097038881.220 6603.17291143,5939.206899968878.981 6608.02100764,5930.460702898876.753 6612.86910384,5921.714505828874.535 6617.71720004,5912.968308758872.328 6622.56529624,5904.222111688870.132 6627.41339245,5895.475914618867.947 6632.26148865,5886.72971753

Page 66: calculo de curvas horizontales y verticales

8865.772 6637.10958485,5877.983520468863.608 6641.95768105,5869.237323398861.455 6646.80577726,5860.491126328859.312 6651.65387346,5851.744929258857.181 6656.50196966,5842.998732188855.060 6661.35006586,5834.252535118852.950 6666.19816207,5825.506338048850.851 6671.04625827,5816.760140968848.762 6675.89435447,5808.013943898846.684 6680.74245067,5799.267746828844.618 6685.59054688,5790.521549758842.562 6690.43864308,5781.775352688840.516 6695.28673928,5773.029155618838.482 6700.13483548,5764.282958548836.459 6704.98293169,5755.536761468834.446 6709.83102789,5746.790564398832.444 6714.67912409,5738.044367328830.453 6719.52722029,5729.298170258828.473 6724.3753165,5720.551973188826.504 6729.2234127,5711.805776118824.546 6734.0715089,5703.059579048822.598 6738.9196051,5694.313381968820.662 6743.7677013,5685.567184898818.736 6748.61579751,5676.820987828816.822 6753.46389371,5668.074790758814.918 6758.31198991,5659.328593688813.025 6763.16008611,5650.582396618811.144 6768.00818232,5641.836199548809.273 6772.85627852,5633.090002468807.413 6777.70437472,5624.343805398805.564 6782.55247092,5615.597608328803.726 6787.40056713,5606.851411258801.899 6792.24866333,5598.105214188800.083 6797.09675953,5589.359017118798.278 6801.94485573,5580.612820048796.484 6806.79295194,5571.866622968794.701 6811.64104814,5563.120425898792.929 6816.48914434,5554.374228828791.168 6821.33724054,5545.628031758789.418 6826.18533675,5536.881834688788.049 6830.0000,5530.0000

_circle 5144.94539057,5116.44651284 20_circle 4756.79673244,4960.81674077 20_circle 4448.79617011,5061.58545236 20_circle 4272.5049356,5745.40273647 20_circle 5014.31134675,6998.10930413 20_circle 5734.19406551,7196.13186499 20

Page 67: calculo de curvas horizontales y verticales

_circle 5908.86674978,7099.80336183 20_circle 6125.41643347,6801.10240159 20

Page 68: calculo de curvas horizontales y verticales

CURVA VERTICALAbscisa (m) : K0+290.54 PIV

Cota (m) : 1789.430

Pendiente de Entrada (%) : 2

Longitud de Entrada (m) : 100.000

Pendiente de Salida (%) : -10

Longitud de Salida (m) : 50.000

Incremento en Abscisado (m) : 5

EL

EM

EN

TO

S D

E L

A C

UR

VA Longitud Total (m) : 150.000

Externa (m) : -2.000

K Entrada : 25.000

K Salida : 6.250

Abscisa (m) Cota (m)

PCV : 190.54 1787.430

PIV : 290.54 1789.430

PTV : 340.54 1784.430

Cota Mínima : 340.54 1784.430

Cota Máxima : 240.00 1787.930

Coordenadas

Tipo de Punto Abscisa Cota Tangente Corrección Cota

PCV 190.540 1787.430 0.000 1787.430195 1787.519 -0.004 1787.515200 1787.619 -0.018 1787.601205 1787.719 -0.042 1787.677210 1787.819 -0.076 1787.743215 1787.919 -0.120 1787.800220 1788.019 -0.174 1787.846225 1788.119 -0.237 1787.882230 1788.219 -0.311 1787.908235 1788.319 -0.395 1787.924240 1788.419 -0.489 1787.930245 1788.519 -0.593 1787.926250 1788.619 -0.707 1787.912255 1788.719 -0.831 1787.888260 1788.819 -0.965 1787.854265 1788.919 -1.109 1787.810270 1789.019 -1.263 1787.756275 1789.119 -1.427 1787.693280 1789.219 -1.601 1787.619285 1789.319 -1.785 1787.535290 1789.419 -1.978 1787.441

PIV 290.540 1789.430 -2.000 1787.430295 1788.984 -1.659 1787.325300 1788.484 -1.315 1787.169305 1787.984 -1.010 1786.974310 1787.484 -0.746 1786.738315 1786.984 -0.522 1786.462

INF

OR

MA

CIO

N D

E

LA

CU

RV

A

Calcular

Page 69: calculo de curvas horizontales y verticales

320 1786.484 -0.338 1786.146325 1785.984 -0.193 1785.791330 1785.484 -0.089 1785.395335 1784.984 -0.025 1784.959340 1784.484 0.000 1784.484

PTV 340.540 1784.430 0.000 1784.430

Page 70: calculo de curvas horizontales y verticales

_pline190.5400,17874.3000195.0000,17875.1522168200.0000,17876.0130168205.0000,17876.7738168210.0000,17877.4346168215.0000,17877.9954168220.0000,17878.4562168225.0000,17878.8170168230.0000,17879.0778168235.0000,17879.2386168240.0000,17879.2994168245.0000,17879.2602168250.0000,17879.1210168255.0000,17878.8818168260.0000,17878.5426168265.0000,17878.1034168270.0000,17877.5642168275.0000,17876.9250168280.0000,17876.1858168285.0000,17875.3466168290.0000,17874.4074168290.5400,17874.3000295.0000,17873.2488672300.0000,17871.6920672305.0000,17869.7352672310.0000,17867.3784672315.0000,17864.6216672

180 200 220 240 260 280 300 320 340 3601781

1782

1783

1784

1785

1786

1787

1788

1789

1790

Calcular

Page 71: calculo de curvas horizontales y verticales

320.0000,17861.4648672325.0000,17857.9080672330.0000,17853.9512672335.0000,17849.5944672340.0000,17844.8376672340.5400,17844.3000

_circle 190.5400,17874.3000 5_circle 290.5400,17894.3000 5_circle 340.5400,17844.3000 5