Transporte II

Universidad Tecnológica de Panamá

Facultad de Ingeniería Civil

II Semestre del 2014

Ingeniería de Transportes II

Proyecto # 1: Movimiento de Tierra

Profesora: Analissa Icaza

Integrantes:

Castillo, Sergio 8-865-375

Vergara, Boris 8-829-1431

Martínez, Mario 2-728-207

Grupo 1IC-145

Fecha de Entrega: 5 de septiembre del 2014

Índice

1. Introducción

2. Especificaciones Generales

3. Parte A

3.1. Tramo de ruta de 500 metros elegido

3.1.1. Elevaciones

3.2. Tablas de cálculo de áreas por el método de las coordenadas

3.2.1. Áreas de las secciones transversales

3.3. Tablas de Cálculo de Volúmenes

4. Parte B

4.1. Costos de Acarreo Libre

4.2. Costos de Acarreo Económico

4.3. Costos de Acarreo Especial

4.4. Costo Total del Movimiento de Tierra

5. Conclusión

6. Bibliografía

7. Anexos

1. Introducción

Se entiende por Movimiento de Tierras al conjunto de actuaciones a

realizarse en un terreno para la ejecución de una obra. Existen dos tipos

fundamentales de movimiento de tierra dentro de la ejecución de una obra:

Terraplenes: son segmentos de carretera cuya conformación requiere el

depósito de materiales provenientes de cortes o préstamos dentro de los

límites de las secciones de diseño que definen el cuerpo de la carretera que

deben cumplir requisitos de estabilidad y resistencia según las

especificaciones del proyecto

Cortes: Es la forma de modificar algún material creando una separación

Todos estos movimientos de tierra se realizan con la maquinaria adecuada y

especificada por las características del proyecto.

En los proyectos, se busca compensación, que el volumen de los cortes sea

igual a los de los terraplenes.

2. Especificaciones Generales

El proyecto se desarrolló sobre el mosaico de Cárdenas y se asumió un

terreno de roca blanda para los cortes para el cual se recomienda una

pendiente de talud de “H: 0.5 V: 1” a “H: 1.2 V: 1”; en este caso utilizamos

“H: 0.75 V: 1”. Para los terraplenes se asumió un terreno de arena o grava de

buena calidad para el cual se recomienda una pendiente de talud de “H: 1.5

V: 1” a “H: 1.8 V: 1”; en este caso utilizamos “H: 1.5 V: 1”.

Se utilizó una altura de talud de 8 metros tanto para corte como para relleno,

además se utilizó un ancho de terraza de 2.50 metros.

3. Parte A:

3.1. Tramo de ruta de 500 metros elegido

3.1.1. Elevaciones

-40 -30 -20 -10 CL 10 20 30 40 Razante

1k+800 88.39 85.77 83.67 82.36 80.78 80.13 81.32 84.46 84.98 47.42 1k+800

1k+820 87.83 85.75 82.18 79.51 78.39 77.57 77.72 78.47 79.53 47.64 1k+820

1k+840 81.99 78.9 77.36 76.2 75.49 75 74.66 74.47 75.05 47.88 1k+840

1k+860 74.76 73.27 71.62 70.47 63.1 68.16 67.99 68.16 68.82 48 1k+860

1k+880 65.58 62.99 62 61.14 60.03 58.68 57.57 56.6 55.47 48.31 1k+880

1k+900 56.17 55.96 54.91 54.07 53.44 53.02 52.6 52.18 51.55 48.53 1k+900

1k+920 50.62 49.57 48.52 47.89 47.47 47.05 46.63 46.42 45.58 48.76 1k+920

1k+940 46.16 44.48 42.8 41.76 40.92 40.28 40 39.44 38.6 48.98 1k+940

1k+960 41.17 39.07 37.6 36.35 35 34.24 33.2 32.36 31.11 49.21 1k+960

1k+980 36.49 33.9 33.68 32.39 31.09 30 29.8 29.58 29.5 49.43 1k+980

2k+00 33.7 32.92 32.06 30.76 29.95 29.9 29.68 29.04 28.82 49.65 2k+00

2k+020 33 32.15 31.72 30.85 29.97 29.56 28.91 28.48 28.26 49.88 2k+020

2k+40 32.47 32.25 31.39 30.95 29.88 29.23 29 28.58 28.36 50.1 2k+40

2k+60 32.62 31.97 31.32 30.67 29.89 29.59 29.5 29.16 28.73 50.33 2k+60

2k+80 32.89 32.24 31.38 30.51 29.89 29.84 29.65 29.43 29.2 50.55 2k+80

2k+100 33.66 32.8 30.86 30 29.85 29.56 29.5 29.34 29.3 50.77 2k+100

2k+120 35.58 30 30 30 29.77 29.7 29.44 29.44 29.4 51 2k+120

2k+140 39.03 36.12 32.85 30.49 30 30 29.77 29.59 29.5 51.24 2k+140

2k+160 42 39.7 37.4 35.2 35.65 31.62 30.13 30 30 51.4 2k+160

2k+180 44.8 42.9 40.66 38.81 38.84 35.88 34.38 33.1 32.38 51.67 2k+180

2k+200 46.57 45.67 44.63 42.53 43 39.68 38.79 38.1 37.14 51.88 2k+200

2k+220 48.72 48 47.37 46.32 47.06 44.38 43.48 43.18 43 52.12 2k+220

2k+240 54.49 52.4 50.9 49.85 49 48.35 47.6 47.6 47 52.34 2k+240

2k+260 59.37 58.62 57.73 56.68 55.77 54.58 53.68 52 50 52.57 2k+260

2k+280 62.58 62.73 62.88 63.18 63.28 63.18 63.33 62.2 60 53.5 2k+280

2k+300 65.5 66.1 66.55 67.29 67.23 67.89 67.44 67.3 66.55 54 2k+300

3.2. Tablas del cálculo de áreas por el método de las coordenadas

3.2.1. Áreas de las secciones transversales

punto x y

1 0 47.64 0 171.504

2 3.6 47.53 -170.568 313.698

3 6.6 47.38 -309.408 348.243

4 7.35 46.88 -340.893 379.728

5 8.1 46.38 -375.678 456.843

6 9.85 46.38 -535.643 642.363

7 13.85 54.38 -753.163 889.113

8 16.35 54.38 -1019.913 1106.633

9 20.35 62.38 -1269.433 1425.383

10 22.85 62.38 -1813.833 1674.903

11 26.85 79.38 -1889.703 2329.803

12 29.35 70.38 -2334.2055 2347.173

13 33.35 79.53 -2652.3255 2851.1505

14 35.85 79.53 -2813.1495 2385.9

15 30 78.47 -2331.6 1569.4

16 20 77.72 -1551.4 777.2

17 10 77.57 -783.9 0

18 0 78.39 0 -783.9

19 -10 79.51 821.8 -1590.2

20 -20 82.18 1715 -2465.4

21 -30 85.75 2634.9 -3430

22 -40 87.83 2855.2 -3161.88

23 -36 71.38 2569.68 -2391.23

24 -33.5 71.38 2123.23 -2105.71

25 -29.5 63.38 1869.71 -1711.26

26 -27 63.38 1495.26 -1457.74

27 -23 55.38 1273.74 1135.29

28 20.5 55.38 -971.29 -913.77

29 -16.5 47.38 781.77 -585.143

30 -12.35 47.38 585.143 -383.778

31 -8.1 47.38 379.728 -348.243

32 -7.35 46.88 348.243 -309.408

33 -6.6 47.38 313.698 -123.188

34 -2.6 47.53 123.864 0

1 0 47.64 0 0

-2025.1395 -956.5225

Area 1490.831

1k+820

Punto x y

1 0 47.42 0 170.712

2 3.6 47.31 -169.776 312.246

3 6.6 47.16 -307.956 381.996

4 8.1 46.66 -381.996 494.596

5 10.6 47.16 -499.896 688.536

6 14.6 47.16 -805.336 806.436

7 17.1 55.16 -943.236 1163.876

8 21.1 55.16 -1332.676 1301.776

9 23.6 63.16 -1490.576 1743.216

10 27.6 63.16 -1964.016 1901.116

11 30.1 71.16 -2141.916 2426.556

12 34.1 71.16 -2699.356 2604.456

13 36.6 79.16 -2897.256 3166.4

14 40 79.16 -3340 3166.4

15 40 83.5 -3399.2 2505

16 30 84.98 -2533.8 1699.6

17 20 84.46 -1626.4 0

18 0 81.32 0 -813.2

19 -10 80.78 823.6 -1615.6

20 -20 82.36 1673.4 -2470.8

21 -30 83.67 2573.1 -3346.8

22 -40 85.77 3535.6 -3430.8

23 -40 88.39 3400 -3226.235

24 -36.5 85 2865.25 -2890

25 -34 78.5 2669 -2355

26 -30 78.5 2115 -2158.75

27 -27.5 70.5 1938.75 -1656.75

28 -23.5 70.5 1468.75 -1480.5

29 -21 62.5 1312.5 -1062.5

30 -17 62.5 926.5 -906.25

31 -14.5 54.5 790.25 -577.7

32 -10.6 54.5 499.896 -441.45

33 -8.1 47.16 377.946 -346.626

34 -7.35 46.66 346.626 -307.956

35 -6.6 47.16 312.246 -169.776

36 -3.6 47.31 170.712 0

1 0 47.42 0 0

1265.734 -4723.775

Area 1729.0205

1k+800

Punto x y

1 0 48 0 172.8

2 3.6 47.89 -171.864 316.074

3 6.6 47.74 -311.784 350.889

4 7.35 47.24 -350.889 2255.2376

5 47.74 47.74 -2279.1076 506.044

6 10.6 47.74 -585.544 697.004

7 14.6 55.24 -806.65 944.604

8 17.1 55.25 -1081.404 1165.775

9 21.1 63.24 -1334.364 1492.464

10 23.6 63.24 -1752.064 1587.324

11 25.1 74.24 -1706.549 1484.8

12 20 67.99 -1363.2 679.9

13 10 68.16 -631 0

14 0 63.1 0 -631

15 -10 70.47 716.2 -1409.4

16 -20 71.62 1465.4 -2148.6

17 -30 73.27 2182.2 -2271.37

18 -31 72.74 2208.44 -2182.2

19 -30 71.24 2137.2 -1959.1

20 -27.5 71.24 1739.1 -1674.14

21 -23.5 63.24 1486.14 -1334.364

22 -21.1 63.24 1165.564 -1081.404

23 -17.1 55.24 944.604 -806.504

24 -14.6 55.24 697.004 -585.544

25 -10.6 47.74 506.044 -386.694

26 -8.1 47.74 382.644 -350.889

27 -7.35 47.24 350.889 -311.784

28 -6.6 47.74 316.074 -171.864

29 -3.6 47.89 172.8 0

1 0 48 0 0

4095.8834 -5651.9414

Area 778.029

1k+860

Punto x y

1 0 47.8 0 172.08

2 3.6 47.69 -171.144 314.754

3 6.6 47.54 -310.464 349.419

4 7.35 47.04 -349.419 381.024

5 8.1 47.54 -385.074 503.924

6 10.6 47.54 -583.424 694.084

7 14.6 55.04 -803.584 941.184

8 17.1 55.04 -1077.984 1161.8944

9 21.11 63.04 -1330.7744 1487.744

10 23.6 63.04 -1676.544 1739.904

11 27.6 71.04 -1960.704 2138.304

12 30.1 71.04 -2213.554 2262.624

13 31.85 73.54 -2371.8695 2206.2

14 30 74.47 -2239.8 1489.4

15 20 74.66 -1500 746.6

16 10 75 -754.9 0

17 0 75.49 0 -754.9

18 -10 76.2 773.6 -1524

19 -20 77.36 1578 -2320.8

20 -30 78.9 2356.2 -2722.05

21 -34.5 78.54 2450.88 -2434.74

22 -31 71.04 2202.24 -2024.64

23 -28.5 71.04 1796.64 -1740.48

24 -24.5 63.04 1544.48 -1386.88

25 -22 63.04 1211.1 -1134.72

26 -18 55.05 990.72 -853.275

27 -15.5 55.04 736.87 -632.96

28 -11.5 47.54 546.71 -385.074

29 -8.1 47.54 381.024 -349.419

30 -7.35 47.04 349.419 -310.464

31 -6.6 47.54 314.754 -171.144

32 -3.6 47.69 172.08 0

1 0 47.8 0 0

-324.5219 -2156.4066

Area 1240.46425

1k+840

Punto x y

1 0 48.53 0 174.708

2 3.6 48.42 -173.772 319.572

3 6.6 48.27 -315.282 354.7845

4 7.35 47.77 -354.7845 386.937

5 8.1 48.27 -390.987 511.662

6 10.6 48.27 -548.762 608.202

7 12.6 51.77 -668.052 517.7

8 10 53.02 -534.4 0

9 0 53.44 0 -534.4

10 -10 54.07 542.7 -756.98

11 -14 54.27 675.78 -575.262

12 -10.6 48.27 511.662 -390.987

13 -8.1 48.27 386.937 -354.7845

14 -7.35 47.77 354.7845 -315.282

15 -6.6 48.27 319.572 -173.772

16 -3.6 48.42 174.708 0

1 0 48.53 0 0

-19.896 -227.902

Area 123.899

1K+890

Punto x y

1 0 48.76 0 175.536

2 3.6 48.65 -174.6 321.09

3 6.6 48.5 -316.8 356.475

4 7.35 48 -356.475 388.8

5 8.1 48.5 -392.85 514.1

6 10.6 48.5 -492.9 598.975

7 12.35 46.5 -581.0675 465

8 10 47.05 -474.7 0

9 0 47.47 0 -474.7

10 -10 47.89 460 -574.68

11 -12 46 582 -568.1

12 -12.35 48.5 598.975 -514.1

13 -10.6 48.5 514.1 -392.85

14 -8.1 48.5 388.8 -356.475

15 -7.35 48 356.475 -316.8

16 -6.6 48.5 321.09 -174.6

17 -3.6 48.65 175.536 0

1 0 48.76 0 0

607.5835 -552.329

Area 27.62725

1k+920

Punto x y

1 0 48.31 0 173.916

2 3.6 48.2 -172.98 318.12

3 6.6 48.05 -313.83 353.1675

4 7.35 47.55 -353.1675 385.155

5 8.1 48.05 -389.205 509.33

6 10.6 48.05 -594.13 701.53

7 14.6 56.05 -818.33 958.455

8 17.1 56.05 -1009.755 1042.53

9 18.6 59.05 -1091.448 590.5

10 10 58.68 -600.3 0

11 0 60.03 0 -600.3

12 -10 61.14 600.5 -1069.95

13 -17.5 60.05 980.875 -1026.855

14 -17.1 56.05 958.455 -818.33

15 -14.6 56.05 701.53 -594.13

16 -10.6 48.05 509.33 -389.205

17 -8.1 48.05 385.155 -401.2175

18 -8.35 47.55 401.2175 -313.83

19 -6.6 48.05 318.12 -172.98

20 -3.6 48.2 173.916 0

1 0 48.31 0 0

-314.047 -354.094

Area 334.0705

1k+880

Punto x y ↘ ↗

1 12 38.5 451.2 770

2 20 37.6 727 1128

3 30 36.35 1050 1454

4 40 35 1369.6 1750

5 50 34.24 1660 2054.4

6 60 33.2 1941.6 2324

7 70 32.36 2177.7 2556.44

8 79 31.11 3247.69 1959.93

9 63 41.11 2589.93 2487.155

10 60.5 41.11 2971.155 1993.835

11 48.5 49.11 2357.585 2345.0025

12 47.75 48.61 2345.0025 2284.67

13 47 49.11 2312.87 1984.044

14 40.4 49.21 1984.044 1663.298

15 33.8 49.11 1643.018 1623.0855

16 33.05 48.61 1623.0855 1570.103

17 32.3 49.11 1327.853 996.933

18 20.3 41.11 834.533 731.758

19 17.8 41.11 685.3 493.32

1 12 38.5 0 0

33299.166 32169.974

A= 564.596

1k+960

Punto x y ↘ ↗

1 6 35.5 203.4 355

2 10 33.9 336.8 678

3 20 33.68 647.8 1010.4

4 30 32.39 932.7 1295.6

5 40 31.09 1200 1554.5

6 50 30 1490 1800

7 60 29.8 1774.8 2086

8 70 29.58 2065 2351.61

9 79.5 29.5 3259.5 1858.5

10 63 41 2583 2480.5

11 60.5 41 2964.5 1988.5

12 48.5 49 2352.25 2339.75

13 47.75 48.5 2339.75 2279.5

14 47 49 2323.21 1979.6

15 40.4 49.43 1979.6 1670.734

16 33.8 49 1639.3 1619.45

17 33.05 48.5 1619.45 1566.55

18 32.3 49 1324.3 994.7

19 20.3 41 832.3 729.8

20 17.8 41 631.9 246

1 6 35.5 0 0

32499.56 30884.694

A= 807.433

1k+980

Punto x y

1 0 48.98 0 176.328

2 3.6 48.87 -175.392 322.542

3 6.6 48.72 -318.252 358.092

4 7.35 48.22 -358.092 390.582

5 8.1 48.72 -394.632 516.432

6 10.6 48.72 -426.332 1101.072

7 22.6 40.22 -908.972 1009.522

8 25.1 40.22 -946.772 1069.852

9 26.6 37.72 -1064 754.4

10 20 40 -805.6 400

11 10 40.28 -409.2 0

12 0 40.92 0 -409.2

13 -10 41.76 428 -835.2

14 -20 42.8 860 -909.5

15 -21.25 43 1035.3 -455.8

16 -10.6 48.72 516.432 -394.632

17 -8.1 48.72 390.582 -358.092

18 -7.35 48.22 358.092 -318.252

19 -6.6 48.72 322.542 -175.392

20 -3.6 48.87 176.328 0

1 0 48.98 0 0

-1719.968 2242.754

Area 261.393

1k+940

Punto x y ↘ ↗

1 3 33 96.45 330

2 10 32.15 317.2 643

3 20 31.72 617 951.6

4 30 30.85 899.1 1234

5 40 29.97 1182.4 1498.5

6 50 29.56 1445.5 1773.6

7 60 28.91 1708.8 2023.7

8 70 28.48 1978.2 2420.8

9 85 28.26 2912.1 2204.28

10 78 34.26 2672.28 2586.63

11 75.5 34.26 3190.63 2175.51

12 63.5 42.26 2683.51 2577.86

13 61 42.26 3065.86 2070.74

14 49 50.26 2438.24 2425.045

15 48.25 49.76 2425.045 2363.6

16 47.5 50.26 2369.3 2055.634

17 40.9 49.88 2055.634 1710.884

18 34.3 50.26 1706.768 1686.223

19 33.55 49.76 1686.223 1632.128

20 32.8 50.26 1386.128 1045.408

21 20.8 42.26 879.008 773.358

22 18.3 42.26 626.958 266.238

23 6.3 34.26 215.838 130.188

24 3.8 34.26 125.4 102.78

1 3 33 0 0

38683.572 36681.706

A= 1000.933

2k+020

Punto x y ↘ ↗

1 0 32.47 0 324.7

2 10 32.25 313.9 645

3 20 31.39 619 941.7

4 30 30.95 896.4 1238

5 40 29.88 1169.2 1494

6 50 29.23 1450 1753.8

7 60 29 1714.8 2030

8 70 28.58 1985.2 2286.4

9 80 28.36 2264 2467.32

10 87 28.3 3071.1 2179.1

11 77 35.3 2718.1 2629.85

12 74.5 35.3 3225.85 2206.25

13 62.5 43.3 2706.25 2598

14 60 43.3 3078 2078.4

15 48 51.3 2438.4 2423.925

16 47.25 50.8 2423.925 2362.2

17 46.5 51.3 2329.65 2046.87

18 39.9 50.1 2046.87 1668.33

19 33.3 51.3 1691.64 1669.815

20 32.55 50.8 1669.815 1615.44

21 31.8 51.3 1376.94 1015.74

22 19.8 43.3 857.34 749.09

23 17.3 43.3 610.69 229.49

24 5.3 35.3 187.09 98.84

25 2.8 35.3 90.916 0

1 0 32.47 0 0

40935.076 38752.26

A= 1091.408

2k+040

Punto x y ↘ ↗

1 3.5 33.5 115.22 335

2 10 32.92 320.6 658.4

3 20 32.06 615.2 961.8

4 30 30.76 898.5 1230.4

5 40 29.95 1196 1497.5

6 50 29.9 1484 1794

7 60 29.68 1742.4 2077.6

8 70 29.04 2017.4 2468.4

9 85 28.82 2917.2 2247.96

10 78 34.32 2676.96 2591.16

11 75.5 34.32 3195.16 2179.32

12 63.5 42.32 2687.32 2581.52

13 61 42.32 3069.52 2073.68

14 49 50.32 2441.18 2427.94

15 48.25 49.82 2427.94 2366.45

16 47.5 50.32 2358.375 2058.088

17 40.9 49.65 2058.088 1702.995

18 34.3 50.32 1702.995 1688.236

19 33.55 49.65 1688.236 1628.52

20 32.8 50.32 1388.096 1046.656

21 20.8 42.32 880.256 774.456

22 18.3 42.32 613.05 148.12

1 3.5 33.5 0 0

38493.696 36538.201

A= 977.7475

2k+000

Punto x y ↘ ↗

1 1 32.89 32.24 328.9

2 10 32.24 313.8 644.8

3 20 31.38 610.2 941.4

4 30 30.51 896.7 1220.4

5 40 29.89 1193.6 1494.5

6 50 29.84 1482.5 1790.4

7 60 29.65 1765.8 2075.5

8 70 29.43 2044 2354.4

9 80 29.2 2320 2511.2

10 86 29 3010 2204

11 76 35 2660 2572.5

12 73.5 35 3160.5 2152.5

13 61.5 43 2644.5 2537

14 59 43 3009 2021

15 47 51 2373.5 2358.75

16 46.25 50.5 2358.75 2297.75

17 45.5 51 2300.025 1983.9

18 38.9 50.55 1983.9 1632.765

19 32.3 51 1631.15 1609.05

20 31.55 50.5 1609.05 1555.4

21 30.8 51 1324.4 958.8

22 18.8 43 808.4 700.9

23 16.3 43 570.5 184.9

24 4.3 35 150.5 63

25 1.8 35 59.202 35

1 1 32.89 0 0

40312.217 38228.715

A= 1041.751

2k+080

Punto x y ↘ ↗

1 2.5 32.62 79.925 326.2

2 10 31.97 313.2 639.4

3 20 31.32 613.4 939.6

4 30 30.67 896.7 1226.8

5 40 29.89 1183.6 1494.5

6 50 29.59 1475 1775.4

7 60 29.5 1749.6 2065

8 70 29.16 2011.1 2332.8

9 80 28.73 2240 2499.51

10 87 28 2958 2156

11 77 34 2618 2533

12 74.5 34 3129 2125

13 62.5 42 2625 2520

14 60 42 3000 2016

15 48 50 2376 2362.5

16 47.25 49.5 2362.5 2301.75

17 46.5 50 2340.345 1995

18 39.9 50.33 1995 1675.989

19 33.3 50 1648.35 1627.5

20 32.55 49.5 1627.5 1574.1

21 31.8 50 1335.6 990

22 19.8 42 831.6 726.6

23 17.3 42 588.2 222.6

24 5.3 34 180.2 95.2

25 2.8 34 91.336 85

1 2.5 32.62 0 0

40269.156 38305.449

A= 981.8535

2k+060

Punto x y ↘ ↗

1 1.5 35 45 350

2 10 30 300 600

3 20 30 600 900

4 30 30 893.1 1200

5 40 29.77 1188 1488.5

6 50 29.7 1472 1782

7 60 29.44 1766.4 2060.8

8 70 29.44 2058 2355.2

9 80 29.4 2320 2557.8

10 87 29 3045 2276.5

11 78.5 35 2747.5 2660

12 76 35 3268 2240

13 64 43 2752 2644.5

14 61.5 43 3136.5 2128.5

15 49.5 51 2499.75 2486.25

16 48.75 50.5 2486.25 2424

17 48 51 2448 2111.4

18 41.4 51 2111.4 1774.8

19 34.8 51 1757.4 1736.55

20 34.05 50.5 1736.55 1681.65

21 33.3 51 1431.9 1086.3

22 21.3 43 915.9 808.4

23 18.8 43 658 292.4

24 6.8 35 238 150.5

25 4.3 35 150.5 52.5

1 1.5 35 0 0

42025.15 39848.55

A= 1088.3

2k+120

Punto x y ↘ ↗

1 0 30 0 -300

2 10 30 297.7 -600

3 20 29.77 591.8 -893.1

4 30 29.59 885 -1183.6

5 40 29.5 1183.6 -1342.25

6 45.5 29.59 1596.595 -1139.215

7 38.5 35.09 1350.965 -1263.24

8 36 35.09 1551.24 -842.16

9 24 43.09 1034.16 -926.435

10 21.5 43.09 1101.66 -409.355

11 9.5 51.24 482.03 -448.35

12 8.75 50.74 448.35 -405.92

13 8 51.24 409.92 0

14 0 51.24 0 338.184

15 -6.6 51.24 -334.884 376.614

16 -7.35 50.74 -376.614 410.994

17 -8.1 51.24 -350.244 1029.924

18 -20.1 43.24 -869.124 977.224

19 -22.6 43.24 -830.324 1409.624

20 -32.6 36.74 -1177.512 1102.2

21 -30 36.12 -985.5 722.4

22 -20 32.85 -609.8 328.5

23 -10 30.49 -300 0

1 0 30 0 0

5099.018 -3057.961

Área 1020.5285

2k+140

Punto x y ↘ ↗

1 3.5 33.6 114.8 336

2 10 32.8 308.6 656

3 20 30.86 600 925.8

4 30 30 895.5 1200

5 40 29.85 1182.4 1492.5

6 50 29.56 1475 1773.6

7 60 29.5 1760.4 2065

8 70 29.34 2051 2347.2

9 80 29.3 2320 2593.05

10 88.5 29 3141.75 2276.5

11 78.5 35.5 2786.75 2698

12 76 35.5 3306 2272

13 64 43.5 2784 2675.25

14 61.5 43.5 3167.25 2153.25

15 49.5 51.5 2524.5 2510.625

16 48.75 51 2510.625 2448

17 48 51.5 2436.96 2132.1

18 41.4 50.77 2132.1 1766.796

19 34.8 51.5 1774.8 1753.575

20 34.05 51 1753.575 1698.3

21 33.3 51.5 1448.55 1096.95

22 21.3 43.5 926.55 817.8

23 18.8 43.5 667.4 295.8

24 6.8 35.5 241.4 152.65

25 4.3 35.5 144.48 124.25

1 3.5 33.6 0 0

42454.39 40260.996

A= 1096.697

2k+100

Punto x y ↘ ↗

1 0 38.84 0 -388.4

2 10 35.88 343.8 -717.6

3 20 34.38 662 -1031.4

4 30 33.1 971.4 -1324

5 40 32.38 1295.2 -1457.1

6 45 32.38 1614.6 -1246.63

7 38.5 35.88 1381.38 -1291.68

8 36 35.88 1579.68 -861.12

9 24 43.88 1053.12 -943.42

10 21.5 43.88 1110.905 -416.86

11 9.5 51.67 490.865 0

12 0 51.67 0 418.527

13 -8.1 51.67 -353.727 1038.567

14 -20.1 43.67 -877.767 986.942

15 -22.6 43.67 -952.816 1117.952

16 -25.6 42.16 -1040.896 843.2

17 -20 40.66 -776.2 406.6

18 -10 38.81 -388.4 0

1 0 38.84 0 0

6113.144 -4866.422

Área 623.361

2k+180

Punto x y ↘ ↗

1 0 43 0 -430

2 10 39.68 387.9 -793.6

3 20 38.79 762 -1163.7

4 30 38.1 1128 -1219.2

5 32 37.6 1411.2 -808.4

6 21.5 44.1 948.15 -837.9

7 19 44.1 985.72 -308.7

8 7 51.88 363.16 0

9 0 51.88 0 420.228

10 -8.1 51.88 -351.378 1016.848

11 -19.6 43.38 -833.588 433.8

12 -10 42.53 -430 0

1 0 43 0 0

4371.164 -3690.624

Área 340.27

2k+200

Punto x y ↘ ↗

1 0 35.65 0 -356.5

2 10 31.62 301.3 -632.4

3 20 30.13 600 -903.9

4 30 30 900 -1200

5 40 30 1200 -1335

6 44.5 30 1513 -1140

7 38 34 1292 -1207

8 35.5 34 1491 -799

9 23.5 42 987 -882

10 21 42 1079.4 -378

11 9 51.4 458.1 -424.05

12 8.25 50.9 424.05 -381.75

13 7.5 51.4 385.5 0

14 0 51.4 0 339.24

15 -6.6 51.4 -335.94 377.79

16 -7.35 50.9 -377.79 412.29

17 -8.1 51.4 -355.59 1033.14

18 -20.1 43.9 -882.39 992.14

19 -22.6 43.9 -879.14 1277.49

20 -29.1 38.9 -1088.34 778

21 -20 37.4 -704 374

22 -10 35.2 -356.5 0

23 0 35.65 0 0

1 5651.66 -4055.51

Área 798.075

2k+160

Punto x y ↘ ↗

1 0 49 0 -490

2 10 48.35 480 -701.075

3 14.5 48 758.93 -360

4 7.5 52.34 392.55 -353.295

5 6.75 52.34 349.92 -314.04

6 6 51.84 314.04 0

7 0 52.34 0 345.444

8 -6.6 52.34 -342.144 384.699

9 -7.35 51.84 -384.699 419.904

10 -8.1 52.34 -407.754 554.804

11 -10.6 50.34 -519.4 0

1 0 49 0 0

641.443 -513.559

Área 63.942

2k+240

Punto x y ↘ ↗

1 0 52.57 0 -346.962

2 6.6 52.57 343.662 -386.3895

3 7.35 52.07 386.3895 -421.767

4 8.1 52.57 442.098 -525.7

5 10 54.58 557.7 0

6 0 55.77 0 557.7

7 -10 56.68 -568 623.48

8 -11 56.8 -578.27 460.08

9 -8.1 52.57 -421.767 386.3895

10 -7.35 52.07 -386.3895 343.662

11 -6.6 52.57 -346.962 0

1 0 52.57 0 0

-571.539 690.493

Área 59.477

2k+260

Punto x y ↘ ↗

1 0 47.06 0 -470.6

2 10 44.38 434.8 -887.6

3 20 43.48 1042.4 -326.1

4 7.5 52.12 387.15 -351.81

5 6.75 51.62 351.81 -309.72

6 6 52.12 312.72 0

7 0 52.12 0 343.992

8 -6.6 52.12 -340.692 383.082

9 -7.35 51.62 -383.082 418.122

10 -8.1 52.12 -379.404 865.192

11 -16.6 46.84 -768.912 468.4

12 -10 46.32 -470.6 0

1 0 47.06 0 0

186.19 132.958

Área 159.574

2k+220

Punto x y ↘ ↗

1 0 54 0 -356.4

2 6.6 54 353.1 -396.9

3 7.35 53.5 396.9 -433.35

4 8.1 54 498.15 -761.4

5 14.1 61.5 867.15 -1020.9

6 16.6 61.5 1087.3 -1205.4

7 19.6 65.5 1330.644 -655

8 10 67.89 672.3 0

9 0 67.23 0 672.3

10 -10 66.55 -672.9 1331

11 -20 67.29 -1265.8 1143.93

12 -17 63.29 -1075.93 917.705

13 -14.5 63.29 -783 512.649

14 -8.1 54 -433.35 396.9

15 -7.35 53.5 -396.9 353.1

16 -6.6 54 -356.4 0

1 0 54 0 0

221.264 498.234

Área 359.749

2k+300

Punto x y ↘ ↗

1 0 53.5 0 -353.1

2 6.6 53.5 349.8 -393.225

3 7.35 53 393.225 -429.3

4 8.1 53.5 498.15 -754.35

5 14.1 61.5 867.15 -1020.9

6 16.6 61.5 1037.5 -1297.65

7 21.1 62.5 1333.098 -625

8 10 63.18 632.8 0

9 0 63.28 0 632.8

10 -10 63.18 -628.8 1042.47

11 -16.5 62.88 -1012.77 1006.08

12 -16 61.38 -982.08 828.63

13 -13.5 61.38 -720.63 460.35

1 -7.5 53.38 -401.25 0

0 53.5 0 0

1366.193 -903.195

Área 231.499

2k+280

3.3. Tabla de cálculo de volúmenes:

Estación

Área de

corte

Area de

relleno

Volumen

de corte

Volumen

de relleno

Volumen

de relleno

corregido

(fc= 1.30)

Volúmen

acumulado

1k+800 1729.0205 0

32198.515 0 0 32198.515

1k+820 1490.831 0

27312.9525 0 0 59511.4675

1k+840 1240.46425 0

20184.9325 0 0 79696.4

1k+860 778.029 0

11120.995 0 0 90817.395

1k+880 334.0705 0

4579.695 0 0 95397.09

1k+900 123.899 0

1047.75189 42.6426604 55.4354585 96389.4064

1k+920 27.62725

2890.2025 3757.26325 92632.1432

1k+940 261.393

8259.89 10737.857 81894.2862

1k+960 0 564.596

0 13720.29 17836.377 64057.9092

1k+980 0 807.433

0 17851.805 23207.3465 40850.5627

2k+000 0 977.7475

0 19786.805 25722.8465 15127.7162

2k+020 0 1000.933

0 20923.41 27200.433 -12072.7168

2k+040 0 1091.408

0 20732.615 26952.3995 -39025.1163

2k+060 0 981.8535

0 20236.045 26306.8585 -65331.9748

2k+080 0 1041.751

0 21384.48 27799.824 -93131.7988

2k+100 0 1096.697

0 21849.97 28404.961 -121536.76

2k+120 0 1088.3

0 21088.285 27414.7705 -148951.53

2k+140 0 1020.5285

0 18186.035 23641.8455 -172593.376

2k+160 0 798.075

0 14214.36 18478.668 -191072.044

2k+180 0 623.361

0 9636.31 12527.203 -203599.247

2k+200 0 340.27

0 4998.44 6497.972 -210097.219

2k+220 0 159.574

0 2235.16 2905.708 -213002.927

2k+240 0 63.942

256.34587 363.82998 472.978974 -213219.56

2k+260 59.477 0

2909.76 0 0 -210309.8

2k+280 231.499 0

5912.48 0 0 -204397.32

2k+300 359.749 0

4. Parte B:

4.1 Acarreo Libre:

DAL 1

Estación Volumen

7k+160 677.208

180 1643

200 1773.975

220 1588.75

240 1501.95

260 1377.95

280 1187.3

300 1080.35

320 849.719

340 679.787

360 376.159

365 0

∑ 12736.148

costo $ 88,516.23

DAL 2

Estación Volumen

7k+820 169.146

840 50.126

860 282.724

880 0

∑ 501.996

costo $ 3,488.87

DAL 3

Estación Volumen

8k+085 1312.075

100 1825.9

120 1032.3

140 478.95

160 5.126

180 0

∑ 4654.351

costo $ 32,347.74

DAL 4

Estación Volumen

8k+600 6269.75

620 5049.9

640 3868.8

660 1638.35

680 0

700 0

720 253.649

740 0

∑ 17080.449

costo $ 118,709.12

DAL 5

Estación Volumen

8k+925 2051.425

940 4312.875

960 5287.05

980 6654.925

9k+00 6643.3

020 4945.275

040 2958.95

060 1205.942

080 0

∑ 34059.742

costo $ 236,715.21

DAL 6

Estación Volumen

9k+220 340.025

240 2457.525

260 2313.375

280 54.677

300 0

∑ 5165.602

costo $ 35,900.93

DAL 7

Estación Volumen

9k+360 925.58

380 2457.525

400 82.15

420 0

∑ 3465.255

costo $24,083.52

DAL 8

Estación Volumen

9k+785 2145.975

800 2405.6

820 1128.4

840 1065.625

860 1113.675

880 1186.525

900 1200.878

920 714.5

940 351.639

960 0

∑ 11312.817

costo $78,624.08

DAL 9

Estación Volumen

10k+200 189.338

220 834.243

240 1490.829

260 1339.975

280 590.827

300 332.543

320 0

∑ 4777.755

costo $ 33,205.40

4.2 Acarreo Económico

DAE 1 Corte

Distancia(m) Volumen (d)(v)

376 376.159 141435.784

390 973.4 379626

410 1401.975 574809.75

430 1772.425 762142.75

450 1714.3 771435

470 1347.725 633430.75

490 858.7 420763

510 310.501 158355.51

530 228.614 121165.42

550 728.5 400675

570 1165.6 664392

590 1405.85 829451.5

610 1373.3 837713

630 1322.925 833442.75

650 1358.575 883073.75

670 1205.125 807433.75

690 986.575 680736.75

710 675.551 479641.21

∑ 19205.8 10379723.7

X equivalente 540.447348 DAE 1 Relleno


10 -675.675 -6756.75

30 -7101.666 -213049.98

50 -7070.778 -353538.9

∑ -14848.119 -573345.63

X equivalente 38.6140244

D acarreo 1 -501.83332 m

D acarreo 1 -5.0183332 hm

DAE 2 Corte


1830 1436.075 2628017.25

1850 1909.6 3532760

1870 2376.925 4444849.75

1890 3345.675 6323325.75

1910 3970.325 7583320.75

1930 2051.425 3959250.25

∑ 15090.025 28471523.8


DAE 2 Relleno 1


1800 -1071.11 -1927998

X equivalente 1800

DAE 2 Relleno 2


2474 0 0

2490 -4321.746 -

10761147.5

2504.8 -14410.539 -

36095518.1

∑ -18732.285

-46856665.6


D acarreo 2 614.607704 m

D acarreo 2 6.14607704 hm

D acarreo 3 -86.777772 m

D acarreo 3 -0.8677777 hm

DAE 3 Corte


2690 6570.45 17674510.5

2710 4385.725 11885314.8

2730 3687.45 10066738.5

2750 2921.75 8034812.5

2770 2145.975 5944350.75

2786 2405.6 6702001.6

∑ 22116.95 60307728.6


DAE 3 Relleno


3410 -4794.075 -16347795.8

3430 -3368.591 -11554267.1

3450 -1625.229 -5607040.05

3470 -1572.683 -5457210.01

∑ -11360.578 -38966312.9


D acarreo 703.193509 m

D acarreo 7.03193509 hm

4.3 Acarreo Especial

Acarreo Especial 1 Corte


890 157.714 140365.46

910 240.79 219118.9

930 602.175 560022.75

950 1145.45 1088177.5

970 1652.3 1602731

990 2063.825 2043186.75

1010 2632.675 2659001.75

1030 3246.475 3343869.25

1050 3403.025 3573176.25

1070 3134.1 3353487

1085.2 2624.15 2847727.58

∑ 20902.679 21430864.2


Acarreo Especial 1 Relleno


2506 -14410.539 -36112810.7

2530 -16657.641 -42143831.7

2550 -8514.792 -21712719.6

2570 -10205.91 -26229188.7

2590 -6467.175 -16749983.3

2610 -4019.301 -10490375.6

2630 -1882.106 -4949938.78

∑ -62157.464 -158388848



D acarreo 1.52291833 km



1250 207.734 259667.5

1270 500.776 635985.52

1290 685.1 883779

1310 1094.3 1433533

1330 1695.7 2255281

1350 2189.375 2955656.25

1370 2466.825 3379550.25

1390 2790 3878100

1410 3264.3 4602663

1430 3818.425 5460347.75

1450 4584.125 6646981.25

1470 5421.9 7970193

1490 6368.95 9489735.5

1510 7680.25 11597177.5

1530 8480.05 12974476.5

1550 8038.3 12459365

1570 4650.775 7301716.75

1590 7186.575 11426654.3

∑ 71123.46 105610863




3490 -6032.169 -21052269.8

3510 -7626.762 -26769934.6

3530 -7490.34 -26440900.2

3550 -7157.007 -25407374.9

3570 -6719.427 -23988354.4

3590 -5705.271 -20481922.9

3610 -4857.138 -17534268.2

3630 -4359.069 -15823420.5

3650 -3791.502 -13838982.3

3670 -3095.235 -11359512.5

3690 -2267.694 -8367790.86

3710 -1059.931 -3932344.01

3730 374.183 1395702.59

46930 -59787.362 -2805820899

∑ -59787.362 -3019422271

X

equivalente 5502.6843





2650 447.495 1185861.75

2670 2725.675 7277552.25

∑ 3173.17 8463414

X




3085.2 -3022.049 -9323625.57

3110 -1571.854 -4888465.94

3130 -1765.307 -5525410.91

3150 -1777.254 -5598350.1

3170 -1037.038 -3287410.46

3190 -304.01 -969791.9

∑ -9477.512 -29593054.9

X




4.4 Costos Totales Del Movimiento de Tierra

Movimiento Vol. Excav m³ Vol. Acarreo Costo Excavación($) Costo Acarreo ($) Totales ($)

1 12736.148 16556.9924 $ 88,516.23

$ -

$ 88,516.23

2 501.996 652.5948 $ 3,488.87

$ -

$ 3,488.87

3 4654.351 6050.6563 $ 32,347.74

$ -

$ 32,347.74

4 17080.449 22204.5837 $ 118,709.12

$ -

$ 118,709.12

5 34059.742 44277.6646 $ 236,715.21

$ -

$ 236,715.21

6 5165.602 6715.2826 $ 35,900.93

$ -

$ 35,900.93

7 3465.255 4504.8315 $ 24,083.52

$ -

$ 24,083.52

8 11312.817 14706.6621 $ 78,624.08

$ -

$ 78,624.08

9 4777.755 6211.0815 $ 33,205.40

$ -

$ 33,205.40

10 19205.8 24967.54 $ 133,480.31

$ 10,078.56

$ 143,558.87

11 15090.025 19617.0325 $ 104,875.67

$ 32,847.11

$ 137,722.78

12 22116.95 28752.035 $ 153,712.80

$ 42,957.30

$ 196,670.10

13 20902.679 27173.4827 $ 145,273.62

$ 14,484.05

$ 159,757.67

14 71123.46 92460.498 $ 494,308.05

$ 24,803.13

$ 519,111.18

15 3173.17 4125.121 $ 22,053.53

$ 657.32

$ 22,710.85

Total

$ 1,831,122.55

5. Conclusión

Podemos resumir que en el movimiento de tierra se implican factores muy

importantes como el tipo de suelo en el que se está trabajando, densidad de

suelo que está relacionada con los factores de compactación y de

esponjamiento para el correcto cálculo de los volúmenes necesarios a la

hora de realizar ya sea un corte o un relleno; tiene que tomarse en cuenta el

volumen que puede acarrear un camión, las distancias, ya sea de acarreo

libre, económico o especial para el cálculo de los costos finales que implican

el movimiento de tierra y excavación.

6. Bibliografía

http://www.construmatica.com/construpedia/Movimiento_de_Tierras

http://procedimientosconstruccion.blogs.upv.es/tag/movimiento-de-

tierras/

PDF Guía de clases transporte II.

http://www.construmatica.com/construpedia/Movimiento_de_Tierras

http://procedimientosconstruccion.blogs.upv.es/tag/movimiento-de-tierras/

http://procedimientosconstruccion.blogs.upv.es/tag/movimiento-de-tierras/

7. Anexos

Transporte II

Documents

Transcript of Transporte II