Calculo Rapido de Curva Vertical

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    N VerticePend.1

    (Incial)

    Pend.2

    (Final)

    Diferencia

    de Pend.

    Prom.

    Diferencia

    de Pend.

    Tipo de CurvaVeloc.

    Directriz

    i1(%) i2 (%) i % i med.% VD (Km/hs)

    4.9990% -3.5820% 8.5810% 0.007 Convexas 1

    2 4.9296% -4.5397% 9.4693% 0.002 Convexas 75

    3 4.9990% -4.9890% 9.9880% 0.000 Convexas 72

    4 -4.5397% -0.0273% -4.5124% -0.023 Concavas 72

    5 4.9986% -4.9237% 9.9223% 0.000 Convexas 1

    6 -4.9237% 0.8229% -5.7467% -0.021 Concavas 9

    -4.9890% 0.5000% -5.4890% -0.022 Concavas

    7 0.0000% 4.9296% -4.9296% 0.025 Concavas 80

    8 -0.0273% -3.9941% 3.9668% -0.020 Convexas 80

    9 -3.9941% -1.5484% -2.4457% -0.028 Concavas 80

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    Parmetro Mn.x

    Veloc.

    Parmetro

    Mn.Deseable

    Adoptado

    (TABLAS)

    Parmetro

    Mn.Absoluta

    Adoptado

    (TABLAS)

    Parmetro

    Adoptado

    Long.Mn. x

    Veloc.

    Long.Mn.

    Deseable

    p (m) p (m) p (m) p Adop.(m) Le (m) Le (m)

    0.257 1600 1600.000 0.33 137.30

    1446.759 1600 1600.000 25.00 151.51

    1333.333 1333.333 24.00 -

    1333.333 1333.333 24.00 -

    0.257 1600 1600.000 0.33 158.76

    20.833 1600 1600.000 3.00 91.95

    0.000 0.000 #DIV/0! -

    1646.091 1646.091 26.66 -

    1646.091 1646.091 26.66 -

    1646.091 1646.091 26.66 -

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    Long.Mn.

    Absoluta

    Long.

    Adoptada x

    Parmetro

    Adop.

    Long.

    Adoptada

    Le (m) Le Adop. (m) Le Adop. (m)

    - 137.30 137.2960

    - 151.51 151.5089

    - 133.17 133.1733

    - 60.17 60.1653

    - 158.76 158.7570

    - 91.95 91.9465

    - - #DIV/0!

    - 81.15 81.1461

    - 65.30 65.2968

    - 40.26 40.2578

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    N Vertice Pend.1 (Incial)Pend.2

    (Final)

    Diferencia

    de Pend.Tipo de Curva

    Parmetro

    Adoptado

    Long.Adopta

    da

    Progresiva

    Vertice

    i1(%) i2 (%) i % p (m) Le (m) Pk (m)

    7 0.0000% 4.9296% -4.9296% Concavas 1646.09053 81.1461079 41.280

    3 193.2204 294.047

    Desplazamien

    to

    PK

    ENTRADA 0 126.669i entrada

    PK SALIDA 41.280 126.669 0.0000%

    PK

    ENTRADA 41.280 126.669i salida

    PK SALIDA 186.220 133.814 4.9296%

    144.940 7.145175.150

    -10.5749721

    -12.4191122

    38.88 126.759

    193.22 133.809

    193.22 133.809

    292.047 128.869

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    Cota Vertice PUNTO PROGRESIVADIST.HORIZ.

    (x)x

    2

    C (m) Fin de Curva Vertical (F.C.) 0 81.8531 0 0.000

    126.669 1 77.7957 4.05730539 16.462

    133.899 2 73.7384 8.11461079 65.847128.869 3 69.6811 12.1719162 148.156

    4 65.6238 16.2292216 263.388

    5 61.5665 20.286527 411.543

    6 57.5092 24.3438324 592.622

    7 53.4519 28.4011377 806.625

    8 49.3946 32.4584431 1053.551

    9 45.3373 36.5157485 1333.400

    10 41.2800 40.5730539 1646.173

    Centro de Curva (C.C.)10 41.2800 40.5730539 1646.173

    10 41.2800 40.5730539 1646.173

    11 37.2227 44.6303593 1991.869

    12 33.1654 48.6876647 2370.489

    13 29.1081 52.7449701 2782.032

    14 25.0508 56.8022755 3226.499

    15 20.9935 60.8595809 3703.889

    16 16.9362 64.9168863 4214.202

    17 12.8789 68.9741917 4757.439

    18 8.8216 73.0314971 5333.600

    19 4.7643 77.0888025 5942.683

    Principio de Curva Vertical (P.C.) 20 0.7069 81.1461079 6584.691

    216.5580 134.7049 18145.422

    244.0480 162.1949 26307.201

    263.9643 182.1113 33164.520

    126

    128

    130

    132

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    136

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    0.0000 50.0000 100.0000

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    x2/ (2*p) i i1*x

    y=i1*x(+/-)x2

    / 2p

    COTA= Cota

    Vertice (+/-)

    y

    0.000 0.0000% 0.000 0.000 126.669 126.669

    0.005 0.0000% 0.000 0.005 126.664

    0.020 0.0000% 0.000 0.020 126.6489990.045 0.0000% 0.000 0.045 126.623998

    0.080 0.0000% 0.000 0.080 126.588996

    0.125 0.0000% 0.000 0.125 126.543994

    0.180 0.0000% 0.000 0.180 126.488991

    0.245 0.0000% 0.000 0.245 126.423988

    0.320 0.0000% 0.000 0.320 126.348984

    0.405 0.0000% 0.000 0.405 126.26398

    0.500 0.0000% 0.000 0.500 126.168975

    0.500 0.0000% 0.000 0.500 126.168975 126.168975

    0.500 0.0000% 0.000 0.500 126.168975

    0.605 0.0000% 0.000 0.605 126.06397

    0.720 0.0000% 0.000 0.720 125.948964

    0.845 0.0000% 0.000 0.845 125.823958

    0.980 0.0000% 0.000 0.980 125.688951

    1.125 0.0000% 0.000 1.125 125.543944

    1.280 0.0000% 0.000 1.280 125.388936

    1.445 0.0000% 0.000 1.445 125.223928

    1.620 0.0000% 0.000 1.620 125.048919

    1.805 0.0000% 0.000 1.805 124.86391

    2.000 0.0000% 0.000 2.000 124.6689 124.6689

    5.512 0.0000% 0.000 5.512 121.157328 131.7323 -10.5749721

    7.991 0.0000% 0.000 7.991 118.678188 131.0973 -12.4191122

    10.074 0.0000% 0.000 10.074 116.595277

    CURVA

    POLIGONAL

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    150.0000 200.0000

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    N Vertice Pend.1 (Incial)Pend.2

    (Final)

    Diferencia

    de Pend.Tipo de Curva

    Parmetro

    Adoptado

    Long.Adopta

    da

    Progresiva

    Vertice

    i1(%) i2 (%) i % p (m) Le (m) Pk (m)

    2 4.9296% -4.5397% 9.4693% Convexas 1600 151.508886 186.220

    3 193.2204 294.047

    Desplazamien

    to

    PK

    ENTRADA 41.2800 126.6690i entrada -9.1 -0.09 0.9523

    PK SALIDA 186.2200 133.8140 4.9296% -7 -0.085

    PK

    ENTRADA 186.220 133.814i salida

    PK SALIDA 294.047 128.919 -4.5397% 0.05 -3.647

    107.827 -4.895320.090

    0.05987294

    -0.00892992

    38.88 126.759

    193.22 133.809

    193.22 133.809

    292.047 128.869

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    Cota Vertice PUNTO PROGRESIVADIST.HORIZ.

    (x)x

    2

    C (m) Principio de Curva Vertical (P.C.) 0 110.4656 0 0.000

    133.814 1 118.0410 7.57544428 57.387

    133.899 2 125.6164 15.1508886 229.549128.869 3 133.1919 22.7263328 516.486

    4 140.7673 30.3017771 918.198

    5 148.3428 37.8772214 1434.684

    6 155.9182 45.4526657 2065.945

    7 163.4937 53.02811 2811.980

    8 171.0691 60.6035543 3672.791

    9 178.6446 68.1789985 4648.376

    10 186.2200 75.7544428 5738.736

    Centro de Curva (C.C.)10 186.2200 75.7544428 5738.736

    10 186.2200 75.7544428 5738.736

    11 193.7954 83.3298871 6943.870

    12 201.3709 90.9053314 8263.779

    13 208.9463 98.4807757 9698.463

    14 216.5218 106.05622 11247.922

    15 224.0972 113.631664 12912.155

    16 231.6727 121.207109 14691.163

    17 239.2481 128.782553 16584.946

    18 246.8236 136.357997 18593.503

    19 254.3990 143.933441 20716.836

    Fin de Curva Vertical (F.C.) 20 261.9744 151.508886 22954.942

    216.5580 106.0924 11255.606

    244.0480 133.5824 17844.269

    263.9643 153.4988 23561.876

    126

    127

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    132

    133

    134

    135

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    . . . . .

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    x2/ (2*p) i i1*x

    y=i1*x(+/-)x2

    / 2p

    COTA= Cota

    Vertice (+/-)

    y

    0.000 4.9296% 0.000 0.000 130.079589 130.079589

    0.018 4.9296% 0.373 0.356 130.435097

    0.072 4.9296% 0.747 0.675 130.7547370.161 4.9296% 1.120 0.959 131.038511

    0.287 4.9296% 1.494 1.207 131.286417

    0.448 4.9296% 1.867 1.419 131.498456

    0.646 4.9296% 2.241 1.595 131.674628

    0.879 4.9296% 2.614 1.735 131.814933

    1.148 4.9296% 2.988 1.840 131.919371

    1.453 4.9296% 3.361 1.908 131.987941

    1.793 4.9296% 3.734 1.941 132.020645

    1.793 4.9296% 3.734 1.941 132.020645 132.020645

    1.793 4.9296% 3.734 1.941 132.020645

    2.170 4.9296% 4.108 1.938 132.017482

    2.582 4.9296% 4.481 1.899 131.978451

    3.031 4.9296% 4.855 1.824 131.903553

    3.515 4.9296% 5.228 1.713 131.792789

    4.035 4.9296% 5.602 1.567 131.646157

    4.591 4.9296% 5.975 1.384 131.463658

    5.183 4.9296% 6.348 1.166 131.245292

    5.810 4.9296% 6.722 0.911 130.991059

    6.474 4.9296% 7.095 0.621 130.700959

    7.173 4.9296% 7.469 0.295 130.374991 130.374991

    3.517 4.9296% 5.230 1.713 131.792173 131.7323 0.05987294

    5.576 4.9296% 6.585 1.009 131.08837 131.0973 -0.00892992

    7.363 4.9296% 7.567 0.204 130.283419

    CURVA

    POLIGONAL

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    . . .

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    N Vertice Pend.1 (Incial)Pend.2

    (Final)

    Diferencia

    de Pend.Tipo de Curva

    Parmetro

    Adoptado

    Long.Adopta

    da

    Progresiva

    Vertice

    i1(%) i2 (%) i % p (m) Le (m) Pk (m)

    4 -4.5397% -0.0273% -4.5124% Concavas 1333.33333 60.1653211 294.047

    PK

    ENTRADA 186.22 133.814i entrada

    PK SALIDA 294.047 128.919 -4.5397%

    PKENTRADA 294.047 128.919 isalida

    PK SALIDA 477.330 128.869 -0.0273%

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    Cota Vertice PUNTO PROGRESIVADIST.HORIZ.

    (x)x

    2

    C (m) Fin de Curva Vertical (F.C.) 0 324.1297 0 0.000

    128.919 1 321.1214 3.00826606 9.050

    2 318.1131 6.01653211 36.1993 315.1049 9.02479817 81.447

    4 312.0966 12.0330642 144.795

    5 309.0883 15.0413303 226.242

    6 306.0801 18.0495963 325.788

    7 303.0718 21.0578624 443.434

    8 300.0635 24.0661284 579.179

    9 297.0553 27.0743945 733.023

    10 294.0470 30.0826606 904.966

    Centro de Curva (C.C.) 10 294.0470 30.0826606 904.966

    10 294.0470 30.0826606 904.966

    11 291.0387 33.0909266 1095.009

    12 288.0305 36.0991927 1303.152

    13 285.0222 39.1074587 1529.393

    14 282.0139 42.1157248 1773.734

    15 279.0057 45.1239908 2036.175

    16 275.9974 48.1322569 2316.714

    17 272.9891 51.140523 2615.353

    18 269.9809 54.148789 2932.091

    19 266.9726 57.1570551 3266.929

    Principio de Curva Vertical (P.C.) 20 263.9643 60.1653211 3619.866

    216.5580 107.5717 11571.662

    244.0480 80.0817 6413.072

    261.9744 62.1552 3863.271

    127

    128

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    133

    134

    135

    0.0000 100.0000 200.0000 300.0000

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    . . . .

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    x2/ (2*p) i i1*x

    y=i1*x(+/-)x2

    / 2p

    COTA= Cota

    Vertice (+/-)

    y

    0.000 -4.5397% 0.000 0.000 127.553344 127.553344

    0.003 -4.5397% -0.137 -0.133 127.686516

    0.014 -4.5397% -0.273 -0.260 127.81290.031 -4.5397% -0.410 -0.379 127.932498

    0.054 -4.5397% -0.546 -0.492 128.045308

    0.085 -4.5397% -0.683 -0.598 128.151331

    0.122 -4.5397% -0.819 -0.697 128.250567

    0.166 -4.5397% -0.956 -0.790 128.343016

    0.217 -4.5397% -1.093 -0.875 128.428677

    0.275 -4.5397% -1.229 -0.954 128.507551

    0.339 -4.5397% -1.366 -1.026 128.579638

    0.339 -4.5397% -1.366 -1.026 128.579638 128.579638

    0.339 -4.5397% -1.366 -1.026 128.579638

    0.411 -4.5397% -1.502 -1.092 128.644937

    0.489 -4.5397% -1.639 -1.150 128.703449

    0.574 -4.5397% -1.775 -1.202 128.755174

    0.665 -4.5397% -1.912 -1.247 128.800112

    0.764 -4.5397% -2.048 -1.285 128.838263

    0.869 -4.5397% -2.185 -1.316 128.869626

    0.981 -4.5397% -2.322 -1.341 128.894202

    1.100 -4.5397% -2.458 -1.359 128.911991

    1.225 -4.5397% -2.595 -1.370 128.922992

    1.357 -4.5397% -2.731 -1.374 128.9272 128.927207

    4.339 -4.5397% -4.883 -0.544 128.097379

    2.405 -4.5397% -3.635 -1.231 128.783892

    1.449 -4.5397% -2.822 -1.373 128.926265

    400.0000 500.0000 600.0000

    CURVAPOLIGONAL

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    . . .

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    0 263.964339 128.927207

    1 266.972605 128.922992

    2 269.980872 128.9119913 272.989138 128.894202

    4 275.997404 128.869626

    5 279.00567 128.838263

    6 282.013936 128.800112

    7 285.022202 128.755174

    8 288.030468 128.703449

    9 291.038734 128.644937

    10 294.047 128.579638

    10 294.047 128.579638

    10 294.047 128.579638

    11 297.055266 128.507551

    12 300.063532 128.428677

    13 303.071798 128.343016

    14 306.080064 128.250567

    15 309.08833 128.151331

    16 312.096596 128.045308

    17 315.104862 127.932498

    18 318.113128 127.8129

    19 321.121395 127.686516

    20 324.129661 127.553344

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    N Vertice Pend.1 (Incial)Pend.2

    (Final)

    Diferencia

    de Pend.Tipo de Curva

    Parmetro

    Adoptado

    Long.Adopta

    da

    Progresiva

    Vertice

    i1(%) i2 (%) i % p (m) Le (m) Pk (m)

    8 -0.0273% -3.9941% 3.9668% Convexas 1646.09053 65.2967606 477.330

    PK

    ENTRADA 294.047 128.919i entrada

    PK SALIDA 477.33 128.869 -0.0273%

    PKENTRADA 477.330 128.869 isalida

    PK SALIDA 537.920 126.449 -3.9941%

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    Cota Vertice PUNTO PROGRESIVADIST.HORIZ.

    (x)x

    2

    C (m) Principio de Curva Vertical (P.C.) 0 444.6816 0 0.000

    128.869 1 447.9465 3.26483803 10.659

    2 451.2113 6.52967606 42.6373 454.4761 9.7945141 95.933

    4 457.7410 13.0593521 170.547

    5 461.0058 16.3241902 266.479

    6 464.2706 19.5890282 383.730

    7 467.5355 22.8538662 522.299

    8 470.8003 26.1187043 682.187

    9 474.0652 29.3835423 863.393

    10 477.3300 32.6483803 1065.917

    Centro de Curva (C.C.) 10 477.3300 32.6483803 1065.917

    10 477.3300 32.6483803 1065.917

    11 480.5948 35.9132183 1289.759

    12 483.8597 39.1780564 1534.920

    13 487.1245 42.4428944 1801.399

    14 490.3894 45.7077324 2089.197

    15 493.6542 48.9725705 2398.313

    16 496.9190 52.2374085 2728.747

    17 500.1839 55.5022465 3080.499

    18 503.4487 58.7670846 3453.570

    19 506.7135 62.0319226 3847.959

    Fin de Curva Vertical (F.C.) 20 509.9784 65.2967606 4263.667

    216.5580 228.1236 52040.386

    244.0480 200.6336 40253.849

    261.9744 182.7072 33381.912

    126

    126.5

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    128.5

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    129.5

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    x2/ (2*p) i i1*x

    y=i1*x(+/-)x2

    / 2p

    COTA= Cota

    Vertice (+/-)

    y

    0.000 -0.0273% 0.000 0.000 128.877907 128.877907

    0.003 -0.0273% -0.001 -0.004 128.873778

    0.013 -0.0273% -0.002 -0.015 128.8631740.029 -0.0273% -0.003 -0.032 128.846095

    0.052 -0.0273% -0.004 -0.055 128.82254

    0.081 -0.0273% -0.004 -0.085 128.79251

    0.117 -0.0273% -0.005 -0.122 128.756005

    0.159 -0.0273% -0.006 -0.165 128.713024

    0.207 -0.0273% -0.007 -0.214 128.663567

    0.262 -0.0273% -0.008 -0.270 128.607635

    0.324 -0.0273% -0.009 -0.333 128.545228

    0.324 -0.0273% -0.009 -0.333 128.545228 128.545228

    0.324 -0.0273% -0.009 -0.333 128.545228

    0.392 -0.0273% -0.010 -0.402 128.476345

    0.466 -0.0273% -0.011 -0.477 128.400987

    0.547 -0.0273% -0.012 -0.559 128.319153

    0.635 -0.0273% -0.012 -0.647 128.230844

    0.728 -0.0273% -0.013 -0.742 128.136059

    0.829 -0.0273% -0.014 -0.843 128.034799

    0.936 -0.0273% -0.015 -0.951 127.927064

    1.049 -0.0273% -0.016 -1.065 127.812853

    1.169 -0.0273% -0.017 -1.186 127.692166

    1.295 -0.0273% -0.018 -1.313 127.5650 127.565005

    15.807 -0.0273% -0.062 -15.869 113.008407

    12.227 -0.0273% -0.055 -12.282 116.596067

    10.140 -0.0273% -0.050 -10.190 118.688308

    400.0000 500.0000 600.0000

    CURVA

    POLIGONAL

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    0 444.68162 128.877907

    1 447.946458 128.873778

    2 451.211296 128.8631743 454.476134 128.846095

    4 457.740972 128.82254

    5 461.00581 128.79251

    6 464.270648 128.756005

    7 467.535486 128.713024

    8 470.800324 128.663567

    9 474.065162 128.607635

    10 477.33 128.545228

    10 477.33 128.545228

    10 477.33 128.545228

    11 480.594838 128.476345

    12 483.859676 128.400987

    13 487.124514 128.319153

    14 490.389352 128.230844

    15 493.65419 128.136059

    16 496.919028 128.034799

    17 500.183866 127.927064

    18 503.448704 127.812853

    19 506.713542 127.692166

    20 509.97838 127.565005

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    N Vertice Pend.1 (Incial)Pend.2

    (Final)

    Diferencia

    de Pend.Tipo de Curva

    Parmetro

    Adoptado

    Long.Adopta

    da

    Progresiva

    Vertice

    i1(%) i2 (%) i % p (m) Le (m) Pk (m)

    9 -3.9941% -1.5484% -2.4457% Concavas 1646.09053 40.2578278 537.920

    PK

    ENTRADA 477.33 128.869i entrada

    PK SALIDA 537.92 126.449 -3.9941%

    PKENTRADA 537.920 126.449 isalida

    PK SALIDA 693.565 124.039 -1.5484%

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    Cota Vertice PUNTO PROGRESIVADIST.HORIZ.

    (x)x

    2

    C (m) Fin de Curva Vertical (F.C.) 0 558.0489 0 0.000

    126.449 1 556.0360 2.01289139 4.052

    2 554.0231 4.02578278 16.2073 552.0102 6.03867417 36.466

    4 549.9973 8.05156556 64.828

    5 547.9845 10.0644569 101.293

    6 545.9716 12.0773483 145.862

    7 543.9587 14.0902397 198.535

    8 541.9458 16.1031311 259.311

    9 539.9329 18.1160225 328.190

    10 537.9200 20.1289139 405.173

    Centro de Curva (C.C.) 10 537.9200 20.1289139 405.173

    10 537.9200 20.1289139 405.173

    11 535.9071 22.1418053 490.260

    12 533.8942 24.1546967 583.449

    13 531.8813 26.1675881 684.743

    14 529.8684 28.1804795 794.139

    15 527.8555 30.1933708 911.640

    16 525.8427 32.2062622 1037.243

    17 523.8298 34.2191536 1170.950

    18 521.8169 36.232045 1312.761

    19 519.8040 38.2449364 1462.675

    Principio de Curva Vertical (P.C.) 20 517.7911 40.2578278 1620.693

    216.5580 341.4909 116616.044

    244.0480 314.0009 98596.574

    261.9744 296.0745 87660.092

    123

    124

    125

    126

    127

    128

    129

    130

    0.0000 200.0000 400.0000

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    x2/ (2*p) i i1*x

    y=i1*x(+/-)x2

    / 2p

    COTA= Cota

    Vertice (+/-)

    y

    0.000 -3.9941% 0.000 0.000 125.645039 125.645039

    0.001 -3.9941% -0.080 -0.079 125.724205

    0.005 -3.9941% -0.161 -0.156 125.8009090.011 -3.9941% -0.241 -0.230 125.875151

    0.020 -3.9941% -0.322 -0.302 125.946932

    0.031 -3.9941% -0.402 -0.371 126.016252

    0.044 -3.9941% -0.482 -0.438 126.08311

    0.060 -3.9941% -0.563 -0.502 126.147507

    0.079 -3.9941% -0.643 -0.564 126.209442

    0.100 -3.9941% -0.724 -0.624 126.268916

    0.123 -3.9941% -0.804 -0.681 126.325929

    0.123 -3.9941% -0.804 -0.681 126.325929 126.325929

    0.123 -3.9941% -0.804 -0.681 126.325929

    0.149 -3.9941% -0.884 -0.735 126.38048

    0.177 -3.9941% -0.965 -0.788 126.432569

    0.208 -3.9941% -1.045 -0.837 126.482198

    0.241 -3.9941% -1.126 -0.884 126.529364

    0.277 -3.9941% -1.206 -0.929 126.57407

    0.315 -3.9941% -1.286 -0.971 126.616314

    0.356 -3.9941% -1.367 -1.011 126.656096

    0.399 -3.9941% -1.447 -1.048 126.693417

    0.444 -3.9941% -1.528 -1.083 126.728277

    0.492 -3.9941% -1.608 -1.116 126.7607 126.760675

    35.422 -3.9941% -13.639 21.783 103.862263

    29.949 -3.9941% -12.541 17.407 108.23771

    26.627 -3.9941% -11.825 14.801 110.843674

    600.0000 800.0000

    CURVAPOLIGONAL

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    0 517.791086 126.760675

    1 519.803977 126.728277

    2 521.816869 126.6934173 523.82976 126.656096

    4 525.842652 126.616314

    5 527.855543 126.57407

    6 529.868434 126.529364

    7 531.881326 126.482198

    8 533.894217 126.432569

    9 535.907109 126.38048

    10 537.92 126.325929

    10 537.92 126.325929

    10 537.92 126.325929

    11 539.932891 126.268916

    12 541.945783 126.209442

    13 543.958674 126.147507

    14 545.971566 126.08311

    15 547.984457 126.016252

    16 549.997348 125.946932

    17 552.01024 125.875151

    18 554.023131 125.800909

    19 556.036023 125.724205

    20 558.048914 125.645039

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    N Vertice Pend.1 (Incial)Pend.2

    (Final)

    Diferencia

    de Pend.Tipo de Curva

    Parmetro

    Adoptado

    Long.Adopta

    da

    Progresiva

    Vertice

    i1(%) i2 (%) i % p (m) Le (m) Pk (m)

    3 4.9990% -4.9890% 9.9880% Convexas 1333.33333 133.173333 193.220

    3 193.2204 294.047

    PK

    ENTRADA 50.38 126.759i entrada

    PK SALIDA 193.220 133.899 4.9986%

    PK

    ENTRADA 193.220 133.899i salida

    PK SALIDA 294.047 128.869 -4.9887%

    100.827 -5.030

    327.090

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    Cota Vertice PUNTO PROGRESIVADIST.HORIZ.

    (x)x

    2

    C (m) Principio de Curva Vertical (P.C.) 0 113.3160 0 0.000

    133.899 1 119.9747 6.65866667 44.338

    133.899 2 126.6333 13.3173333 177.351128.869 3 133.2920 19.976 399.041

    4 139.9507 26.6346667 709.405

    5 146.6093 33.2933333 1108.446

    6 153.2680 39.952 1596.162

    7 159.9267 46.6106667 2172.554

    8 166.5853 53.2693333 2837.622

    9 173.2440 59.928 3591.365

    10 179.9027 66.5866667 4433.784

    Centro de Curva (C.C.) 10 193.2200 66.5866667 4433.784

    10 179.9027 66.5866667 4433.78411 186.5613 73.2453333 5364.879

    12 193.2200 79.904 6384.649

    13 199.8787 86.5626667 7493.095

    14 206.5373 93.2213333 8690.217

    15 213.1960 99.88 9976.014

    Centro de Curva (C.C.) 16 219.8547 106.538667 11350.487

    17 226.5133 113.197333 12813.636

    18 233.1720 119.856 14365.461

    19 239.8307 126.514667 16005.961

    Fin de Curva Vertical (F.C.) 20 246.4893 133.173333 17735.137

    216.5580 103.2420 10658.911

    244.0480 130.7320 17090.856

    263.9643 150.6483 22694.922

    126

    127

    128

    129

    130

    131

    132

    133

    134

    135

    136

    0.0000 50.0000 100.0000 150.0000 200.

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    x2/ (2*p) i i1*x

    y=i1*x(+/-)x2

    / 2p

    COTA= Cota

    Vertice (+/-)

    y

    0.000 4.9990% 0.000 0.000 130.570333 130.570333

    0.017 4.9990% 0.333 0.316 130.886573

    0.067 4.9990% 0.666 0.599 131.1695590.150 4.9990% 0.999 0.849 131.419293

    0.266 4.9990% 1.331 1.065 131.635772

    0.416 4.9990% 1.664 1.249 131.818999

    0.599 4.9990% 1.997 1.399 131.968972

    0.815 4.9990% 2.330 1.515 132.085692

    1.064 4.9990% 2.663 1.599 132.169158

    1.347 4.9990% 2.996 1.649 132.219371

    1.663 4.9990% 3.329 1.666 132.236331

    1.663 4.9990% 3.329 1.666 132.236331 132.236331

    1.663 4.9990% 3.329 1.666 132.2363312.012 4.9990% 3.662 1.650 132.220037

    2.394 4.9990% 3.994 1.600 132.17049

    2.810 4.9990% 4.327 1.517 132.08769

    3.259 4.9990% 4.660 1.401 131.971636

    3.741 4.9990% 4.993 1.252 131.822328

    4.256 4.9990% 5.326 1.069 131.639768

    4.805 4.9990% 5.659 0.854 131.423954

    5.387 4.9990% 5.992 0.605 131.174886

    6.002 4.9990% 6.324 0.322 130.892565

    6.651 4.9990% 6.657 0.007 130.576991 130.576991

    3.997 4.9990% 5.161 1.164 131.734309 131.7323 0.00200865

    6.409 4.9990% 6.535 0.126 130.696554 131.0973 -0.40074572

    8.511 4.9990% 7.531 -0.980 129.590647

    000 250.0000 300.0000 350.0000

    CURVA

    POLIGONAL

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    N Vertice Pend.1 (Incial)Pend.2

    (Final)

    Diferencia

    de Pend.Tipo de Curva

    Parmetro

    Adoptado

    Long.Adopta

    da

    Progresiva

    Vertice

    i1(%) i2 (%) i % p (m) Le (m) Pk (m)

    4 -4.5397% -0.0273% -4.5124% Concavas 1333.33333 60.1653211 294.047

    PK

    ENTRADA 193.22 133.899i entrada

    PK SALIDA 294.047 128.869 -4.9887%

    PKENTRADA 294.047 128.869 isalida

    PK SALIDA 477.3 128.869 0.0000%

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    Cota Vertice PUNTO PROGRESIVADIST.HORIZ.

    (x)x

    2

    C (m) Fin de Curva Vertical (F.C.) 0 339.1710 0 0.000

    128.869 0.75 1 336.1627 3.00826606 9.050

    2 333.1545 6.01653211 36.1993 330.1462 9.02479817 81.447

    4 327.1379 12.0330642 144.795

    5 324.1297 15.0413303 226.242

    6 321.1214 18.0495963 325.788

    7 318.1131 21.0578624 443.434

    8 315.1049 24.0661284 579.179

    9 312.0966 27.0743945 733.023

    10 309.0883 30.0826606 904.966

    Centro de Curva (C.C.) 10 294.0470 30.0826606 904.966

    10 309.0883 30.0826606 904.966

    11 306.0801 33.0909266 1095.009

    12 303.0718 36.0991927 1303.152

    13 300.0635 39.1074587 1529.393

    14 297.0553 42.1157248 1773.734

    15 294.0470 45.1239908 2036.175

    16 291.0387 48.1322569 2316.714

    17 288.0305 51.140523 2615.353

    18 285.0222 54.148789 2932.091

    0.25 19 282.0139 57.1570551 3266.929

    Principio de Curva Vertical (P.C.) 20 279.0057 60.1653211 3619.866

    216.5580 122.6130 15033.946

    244.0480 95.1230 9048.383

    261.9744 77.1965 5959.307

    127

    128

    129

    130

    131

    132

    133

    134

    135

    0.0000 100.0000 200.0000 300.0000

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    x2/ (2*p) i i1*x

    y=i1*x(+/-)x2

    / 2p

    COTA= Cota

    Vertice (+/-)

    y

    0.000 -4.5397% 0.000 0.000 127.503344 127.503344

    0.003 -4.5397% -0.137 -0.133 127.636516

    0.014 -4.5397% -0.273 -0.260 127.76290.031 -4.5397% -0.410 -0.379 127.882498

    0.054 -4.5397% -0.546 -0.492 127.995308

    0.085 -4.5397% -0.683 -0.598 128.101331

    0.122 -4.5397% -0.819 -0.697 128.200567

    0.166 -4.5397% -0.956 -0.790 128.293016

    0.217 -4.5397% -1.093 -0.875 128.378677

    0.275 -4.5397% -1.229 -0.954 128.457551

    0.339 -4.5397% -1.366 -1.026 128.529638

    0.339 -4.5397% -1.366 -1.026 128.529638 128.529638

    0.339 -4.5397% -1.366 -1.026 128.529638

    0.411 -4.5397% -1.502 -1.092 128.594937

    0.489 -4.5397% -1.639 -1.150 128.653449

    0.574 -4.5397% -1.775 -1.202 128.705174

    0.665 -4.5397% -1.912 -1.247 128.750112

    0.764 -4.5397% -2.048 -1.285 128.788263

    0.869 -4.5397% -2.185 -1.316 128.819626

    0.981 -4.5397% -2.322 -1.341 128.844202

    1.100 -4.5397% -2.458 -1.359 128.861991

    1.225 -4.5397% -2.595 -1.370 128.872992

    1.357 -4.5397% -2.731 -1.374 128.8772 128.877207

    5.638 -4.5397% -5.566 0.071 127.431851

    3.393 -4.5397% -4.318 -0.925 128.428479

    2.235 -4.5397% -3.504 -1.270 128.773079

    400.0000 500.0000 600.0000

    CURVAPOLIGONAL

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    0 279.00567 128.877207

    1 282.013936 128.872992

    2 285.022202 128.8619913 288.030468 128.844202

    4 291.038734 128.819626

    5 294.047 128.788263

    6 297.055266 128.750112

    7 300.063532 128.705174

    8 303.071798 128.653449

    9 306.080064 128.594937

    10 309.08833 128.529638

    10 309.08833 128.529638

    10 309.08833 128.529638

    11 312.096596 128.457551

    12 315.104862 128.378677

    13 318.113128 128.293016

    14 321.121395 128.200567

    15 324.129661 128.101331

    16 327.137927 127.995308

    17 330.146193 127.882498

    18 333.154459 127.7629

    19 336.162725 127.636516

    20 339.170991 127.503344

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    N Vertice Pend.1 (Incial)Pend.2

    (Final)

    Diferencia

    de Pend.Tipo de Curva

    Parmetro

    Adoptado

    Long.Adopta

    da

    Progresiva

    Vertice

    i1(%) i2 (%) i % p (m) Le (m) Pk (m)

    5 4.9986% -4.9237% 9.9223% Convexas 1600 158.756981 193.220

    PK

    ENTRADA 50.38 126.759i entrada

    PK SALIDA 193.220 133.899 4.9986%

    PK

    ENTRADA 193.220 133.899i salida

    PK SALIDA 314.47 127.929 -4.9237%

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    Cota Vertice PUNTO PROGRESIVADIST.HORIZ.

    (x)x

    2

    C (m) Principio de Curva Vertical (P.C.) 0 113.8415 0 0.000

    133.899 1 121.7794 7.93784907 63.009

    2 129.7172 15.8756981 252.0383 137.6551 23.8135472 567.085

    4 145.5929 31.7513963 1008.151

    5 153.5308 39.6892454 1575.236

    6 161.4686 47.6270944 2268.340

    7 169.4065 55.5649435 3087.463

    8 177.3443 63.5027926 4032.605

    9 185.2822 71.4406416 5103.765

    10 193.2200 79.3784907 6300.945

    Centro de Curva (C.C.) 10 193.2200 79.3784907 6300.945

    10 193.2200 79.3784907 6300.94511 201.1578 87.3163398 7624.143

    12 209.0957 95.2541889 9073.360

    13 217.0335 103.192038 10648.597

    14 224.9714 111.129887 12349.852

    15 232.9092 119.067736 14177.126

    16 240.8471 127.005585 16130.419

    17 248.7849 134.943434 18209.730

    18 256.7228 142.881283 20415.061

    19 264.6606 150.819132 22746.411

    Fin de Curva Vertical (F.C.) 20 272.5985 158.756981 25203.779

    216.5580 102.7165 10550.677

    244.0480 130.2065 16953.730

    263.9643 150.1228 22536.864

    126

    127

    128

    129

    130

    131

    132

    133

    134

    135

    136

    0.0000 50.0000 100.0000 150.0000 200.

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    x2/ (2*p) i i1*x

    y=i1*x(+/-)x2

    / 2p

    COTA= Cota

    Vertice (+/-)

    y

    0.000 4.9986% 0.000 0.000 129.931187 129.931187

    0.020 4.9986% 0.397 0.377 130.308278

    0.079 4.9986% 0.794 0.715 130.6459880.177 4.9986% 1.190 1.013 130.944317

    0.315 4.9986% 1.587 1.272 131.203265

    0.492 4.9986% 1.984 1.492 131.422832

    0.709 4.9986% 2.381 1.672 131.603018

    0.965 4.9986% 2.777 1.813 131.743824

    1.260 4.9986% 3.174 1.914 131.845248

    1.595 4.9986% 3.571 1.976 131.907292

    1.969 4.9986% 3.968 1.999 131.929955

    1.969 4.9986% 3.968 1.999 131.929955 131.929955

    1.969 4.9986% 3.968 1.999 131.9299552.383 4.9986% 4.365 1.982 131.913237

    2.835 4.9986% 4.761 1.926 131.857137

    3.328 4.9986% 5.158 1.830 131.761658

    3.859 4.9986% 5.555 1.696 131.626797

    4.430 4.9986% 5.952 1.521 131.452555

    5.041 4.9986% 6.349 1.308 131.238932

    5.691 4.9986% 6.745 1.055 130.985929

    6.380 4.9986% 7.142 0.762 130.693544

    7.108 4.9986% 7.539 0.431 130.361779

    7.876 4.9986% 7.936 0.059 129.990632 129.990632

    3.297 4.9986% 5.134 1.837 131.768487 131.7323 0.03618656

    5.298 4.9986% 6.509 1.210 131.141648 131.0973 0.04434771

    7.043 4.9986% 7.504 0.461 130.392457

    000 250.0000 300.0000 350.0000

    CURVA

    POLIGONAL

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    N Vertice Pend.1 (Incial)Pend.2

    (Final)

    Diferencia

    de Pend.Tipo de Curva

    Parmetro

    Adoptado

    Long.Adopta

    da

    Progresiva

    Vertice

    i1(%) i2 (%) i % p (m) Le (m) Pk (m)

    6 -4.9237% 0.8229% -5.7467% Concavas 1600 91.9464882 314.470

    PK

    ENTRADA 193.22 133.899i entrada

    PK SALIDA 314.470 127.929 -4.9237%

    PKENTRADA 314.470 127.929 isalida

    PK SALIDA 477.3 129.269 0.8229%

    477.3 128.869

    376.841

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    Cota Vertice PUNTO PROGRESIVADIST.HORIZ.

    (x)x

    2

    C (m) Fin de Curva Vertical (F.C.) 0 360.4432 0 0.000

    127.929 1 355.8459 4.59732441 21.135

    2 351.2486 9.19464882 84.5423 346.6513 13.7919732 190.219

    4 342.0539 18.3892976 338.166

    5 337.4566 22.9866221 528.385

    6 332.8593 27.5839465 760.874

    7 328.2620 32.1812709 1035.634

    8 323.6646 36.7785953 1352.665

    9 319.0673 41.3759197 1711.967

    10 314.4700 45.9732441 2113.539

    Centro de Curva (C.C.) 10 314.4700 45.9732441 2113.539

    10 314.4700 45.9732441 2113.539

    11 309.8727 50.5705685 2557.382

    12 305.2754 55.1678929 3043.496

    13 300.6780 59.7652174 3571.881

    14 296.0807 64.3625418 4142.537

    15 291.4834 68.9598662 4755.463

    16 286.8861 73.5571906 5410.660

    17 282.2887 78.154515 6108.128

    18 277.6914 82.7518394 6847.867

    19 273.0941 87.3491638 7629.876

    Principio de Curva Vertical (P.C.) 20 268.4968 91.9464882 8454.157

    216.5580 143.8852 20702.963

    244.0480 116.3952 13547.853

    261.9744 98.4688 9696.105

    125

    126

    127

    128

    129

    130

    131

    132

    133

    134

    135

    0.0000 100.0000 200.0000 300.0000

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    x2/ (2*p) i i1*x

    y=i1*x(+/-)x2

    / 2p

    COTA= Cota

    Vertice (+/-)

    y

    0.000 -4.9237% 0.000 0.000 125.66541 125.66541

    0.007 -4.9237% -0.226 -0.220 125.885164

    0.026 -4.9237% -0.453 -0.426 126.0917090.059 -4.9237% -0.679 -0.620 126.285044

    0.106 -4.9237% -0.905 -0.800 126.465169

    0.165 -4.9237% -1.132 -0.967 126.632085

    0.238 -4.9237% -1.358 -1.120 126.785791

    0.324 -4.9237% -1.585 -1.261 126.926287

    0.423 -4.9237% -1.811 -1.388 127.053574

    0.535 -4.9237% -2.037 -1.502 127.167651

    0.660 -4.9237% -2.264 -1.603 127.268519

    0.660 -4.9237% -2.264 -1.603 127.268519 127.268519

    0.660 -4.9237% -2.264 -1.603 127.268519

    0.799 -4.9237% -2.490 -1.691 127.356177

    0.951 -4.9237% -2.716 -1.765 127.430625

    1.116 -4.9237% -2.943 -1.826 127.491864

    1.295 -4.9237% -3.169 -1.874 127.539893

    1.486 -4.9237% -3.395 -1.909 127.574713

    1.691 -4.9237% -3.622 -1.931 127.596323

    1.909 -4.9237% -3.848 -1.939 127.604723

    2.140 -4.9237% -4.074 -1.935 127.599913

    2.384 -4.9237% -4.301 -1.916 127.581894

    2.642 -4.9237% -4.527 -1.885 127.5507 127.550666

    6.470 -4.9237% -7.084 -0.615 126.280228

    4.234 -4.9237% -5.731 -1.497 127.162672

    3.030 -4.9237% -4.848 -1.818 127.483697

    400.0000 500.0000 600.0000

    CURVAPOLIGONAL

  • 7/29/2019 Calculo Rapido de Curva Vertical

    61/62

    . . .

  • 7/29/2019 Calculo Rapido de Curva Vertical

    62/62

    0 268.496756 127.550666

    1 273.09408 127.581894

    2 277.691405 127.5999133 282.288729 127.604723

    4 286.886054 127.596323

    5 291.483378 127.574713

    6 296.080702 127.539893

    7 300.678027 127.491864

    8 305.275351 127.430625

    9 309.872676 127.356177

    10 314.47 127.268519

    10 314.47 127.268519

    10 314.47 127.268519

    11 319.067324 127.167651

    12 323.664649 127.053574

    13 328.261973 126.926287

    14 332.859298 126.785791

    15 337.456622 126.632085

    16 342.053946 126.465169

    17 346.651271 126.285044

    18 351.248595 126.091709

    19 355.84592 125.885164

    20 360.443244 125.66541