Transporte II
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Transcript of 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
Distancia(m) Volumen (d)(v)
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
Distancia(m) Volumen (d)(v)
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
X equivalente 1886.77777
DAE 2 Relleno 1
Distancia(m) Volumen (d)(v)
1800 -1071.11 -1927998
X equivalente 1800
DAE 2 Relleno 2
Distancia(m) Volumen (d)(v)
2474 0 0
2490 -4321.746 -
10761147.5
2504.8 -14410.539 -
36095518.1
∑ -18732.285
-46856665.6
X equivalente 2501.38548
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
Distancia(m) Volumen (d)(v)
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
X equivalente 2726.76516
DAE 3 Relleno
Distancia(m) Volumen (d)(v)
3410 -4794.075 -16347795.8
3430 -3368.591 -11554267.1
3450 -1625.229 -5607040.05
3470 -1572.683 -5457210.01
∑ -11360.578 -38966312.9
X equivalente 3429.95866
D acarreo 703.193509 m
D acarreo 7.03193509 hm
4.3 Acarreo Especial
Acarreo Especial 1 Corte
Distancia(m) Volumen (d)(v)
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
X equivalente 1025.26878
Acarreo Especial 1 Relleno
Distancia(m) Volumen (d)(v)
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
X equivalente 2548.18711
D acarreo 1522.91833 m
D acarreo 1.52291833 km
Acarreo Especial 2 Corte
Distancia(m) Volumen (d)(v)
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
X equivalente 1484.8949
Acarreo Especial 2 Relleno
Distancia(m) Volumen (d)(v)
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
D acarreo 766.447274 m
D acarreo 0.766447274 km
Acarreo Especial 3 Corte
Distancia(m) Volumen (d)(v)
2650 447.495 1185861.75
2670 2725.675 7277552.25
∑ 3173.17 8463414
X
equivalente 2667.17951
Acarreo Especial 3 Relleno
Distancia(m) Volumen (d)(v)
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
equivalente 3122.44974
D acarreo 455.270232 m
D acarreo 0.455270232 km
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.
7. Anexos