hoja de calculo diagrama de masas
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TABLA 1: DETERMINACIÓN DE ORDENADAS DE MASA
Estación Diferencia
m m2 m2 m3 m3 0.901.00
TOTALES 46,367.93 62,491.10 -16,123.17 3,660.311.00
15+990 0.68 2.00 0.00 0.00
16+000 4.45 2.00 25.65 20.00 22.22 3.43 3.43 22.22
16+007 2.56 2.00 24.18 13.80 15.33 8.85 12.28 15.33
16+020 0.18 2.00 17.95 26.20 29.11 -11.16 1.12 17.95
16+040 0.07 2.00 2.50 40.00 44.44 -41.94 -40.82 2.50
16+060 0.05 2.00 1.20 40.00 44.44 -43.24 -84.06 1.20
16+080 0.04 2.00 0.90 40.00 44.44 -43.54 -127.60 0.90
16+100 0.02 2.00 0.60 40.00 44.44 -43.84 -171.44 0.60
16+101 0.02 2.00 0.02 2.00 2.22 -2.20 -173.64 0.02
16+110 0.01 2.00 0.14 18.00 20.00 -19.86 -193.50 0.14
16+120 0.06 2.00 0.35 20.00 22.22 -21.87 -215.37 0.35
16+130 1.27 2.00 6.65 20.00 22.22 -15.57 -230.94 6.65
16+140 4.19 2.00 27.30 20.00 22.22 5.08 -225.86 22.22
16+148 1.81 2.00 24.90 16.60 18.44 6.46 -219.40 18.44
16+160 1.81 2.00 21.18 23.40 26.00 -4.82 -224.22 21.18
16+180 0.08 2.00 18.90 40.00 44.44 -25.54 -249.76 18.90
16+200 0.00 2.00 0.80 40.00 44.44 -43.64 -293.40 0.80
16+220 0.00 15.00 0.00 170.00 188.89 -188.89 -482.29 0.00
16+240 0.00 15.00 0.00 300.00 333.33 -333.33 -815.62 0.00
16+260 0.00 15.00 0.00 300.00 333.33 -333.33 -1,148.95 0.00
16+270 0.00 15.00 0.00 150.00 166.67 -166.67 -1,315.62 0.00
16+271 0.11 15.00 0.07 19.50 21.67 -21.60 -1,337.22 0.07
16+280 0.04 15.00 0.65 130.50 145.00 -144.35 -1,481.57 0.65
16+290 0.06 15.00 0.50 150.00 166.67 -166.17 -1,647.74 0.50
16+300 0.11 15.00 0.85 150.00 166.67 -165.82 -1,813.56 0.85
16+310 0.02 15.00 0.65 150.00 166.67 -166.02 -1,979.58 0.65
16+320 0.00 15.00 0.10 150.00 166.67 -166.57 -2,146.15 0.10
16+330 0.63 15.00 3.15 150.00 166.67 -163.52 -2,309.67 3.15
16+340 2.43 15.00 14.69 144.00 160.00 -145.31 -2,454.98 14.69
16+340 2.49 15.00 0.98 6.00 6.67 -5.69 -2,460.67 0.98
16+360 0.05 15.00 25.40 300.00 333.33 -307.93 -2,768.60 25.40
16+380 0.00 15.00 0.50 300.00 333.33 -332.83 -3,101.43 0.50
16+400 0.20 15.00 2.00 300.00 333.33 -331.33 -3,432.76 2.00
16+420 6.88 13.00 70.80 280.00 311.11 -240.31 -3,673.07 70.80
16+440 9.25 12.00 161.30 250.00 277.78 -116.48 -3,789.55 161.30
16+460 2.49 14.00 117.40 260.00 288.89 -171.49 -3,961.04 117.40
16+480 21.10 8.00 235.90 220.00 244.44 -8.54 -3,969.58 235.90
16+500 47.43 0.00 685.30 80.00 88.89 596.41 -3,373.17 88.89
16+508 58.50 0.00 402.53 0.00 0.00 402.53 -2,970.64 0.00
16+520 72.93 0.00 814.87 0.00 0.00 814.87 -2,155.77 0.00
16+540 102.98 0.00 1,759.10 0.00 0.00 1,759.10 -396.67 0.00
16+560 124.06 0.00 2,270.40 0.00 0.00 2,270.40 1,873.73 0.00
16+564 125.63 0.00 449.44 0.00 0.00 449.44 2,323.17 0.00
16+566 109.35 0.00 234.98 0.00 0.00 234.98 2,558.15 0.00
16+580 86.99 0.00 1,413.65 0.00 0.00 1,413.65 3,971.80 0.00
16+600 57.49 0.00 1,444.80 0.00 0.00 1,444.80 5,416.60 0.00
16+610 37.47 0.00 474.80 0.00 0.00 474.80 5,891.40 0.00
16+610 36.65 0.00 11.12 0.00 0.00 11.12 5,902.52 0.00
16+620 19.40 2.00 271.84 9.70 10.78 261.06 6,163.58 10.78
16+630 1.00 19.00 102.00 105.00 116.67 -14.67 6,148.91 102.00
16+640 0.00 19.00 5.00 190.00 211.11 -206.11 5,942.80 5.00
16+650 0.00 19.00 0.00 190.00 211.11 -211.11 5,731.69 0.00
16+655 0.00 19.00 0.00 95.00 105.56 -105.56 5,626.13 0.00
16+660 0.00 18.00 0.00 92.50 102.78 -102.78 5,523.35 0.00
16+670 4.10 8.00 20.50 130.00 144.44 -123.94 5,399.41 20.50
16+679 4.48 8.00 38.61 72.00 80.00 -41.39 5,358.02 38.61
16+680 9.08 6.00 6.78 7.00 7.78 -1.00 5,357.02 6.78
Area de corte
Area de relleno
Volumen de corte
Volumen de relleno
Vol. Relleno ajustado
Ordenada de masa
Volumen lateral (m3B)
TABLA 1: DETERMINACIÓN DE ORDENADAS DE MASA
Estación Diferencia
m m2 m2 m3 m3 0.901.00
TOTALES 46,367.93 62,491.10 -16,123.17 3,660.31
Area de corte
Area de relleno
Volumen de corte
Volumen de relleno
Vol. Relleno ajustado
Ordenada de masa
Volumen lateral (m3B)
16+700 0.00 40.00 90.80 460.00 511.11 -420.31 4,936.71 90.80
16+720 0.00 50.00 0.00 900.00 1,000.00 -1,000.00 3,936.71 0.00
16+740 0.00 50.00 0.00 1,000.00 1,111.11 -1,111.11 2,825.60 0.00
16+760 0.00 51.00 0.00 1,010.00 1,122.22 -1,122.22 1,703.38 0.00
16+780 0.00 48.00 0.00 990.00 1,100.00 -1,100.00 603.38 0.00
16+800 0.18 40.00 1.80 880.00 977.78 -975.98 -372.60 1.80
16+820 0.41 0.00 5.90 400.00 444.44 -438.54 -811.14 5.90
16+824 1.80 0.00 4.64 0.00 0.00 4.64 -806.50 0.00
16+830 3.27 0.00 14.70 0.00 0.00 14.70 -791.80 0.00
16+840 20.33 0.00 118.00 0.00 0.00 118.00 -673.80 0.00
16+850 38.81 0.00 295.70 0.00 0.00 295.70 -378.10 0.00
16+860 46.75 0.00 427.80 0.00 0.00 427.80 49.70 0.00
16+870 46.99 0.00 468.70 0.00 0.00 468.70 518.40 0.00
16+880 44.52 0.00 457.55 0.00 0.00 457.55 975.95 0.00
16+890 44.25 0.00 443.85 0.00 0.00 443.85 1,419.80 0.00
16+898 47.20 0.00 374.95 0.00 0.00 374.95 1,794.75 0.00
16+900 48.08 0.00 85.75 0.00 0.00 85.75 1,880.50 0.00
16+920 68.25 0.00 1,163.30 0.00 0.00 1,163.30 3,043.80 0.00
16+939 77.49 0.00 1,399.10 0.00 0.00 1,399.10 4,442.90 0.00
16+940 79.34 0.00 62.73 0.00 0.00 62.73 4,505.63 0.00
16+944 72.17 0.00 287.87 0.00 0.00 287.87 4,793.50 0.00
16+947 69.08 0.00 197.75 0.00 0.00 197.75 4,991.25 0.00
16+960 47.09 10.00 778.34 67.00 74.44 703.90 5,695.15 74.44
16+980 9.92 50.00 570.10 600.00 666.67 -96.57 5,598.58 570.10
16+993 0.00 60.00 62.00 687.50 763.89 -701.89 4,896.69 62.00
17+000 0.00 80.00 0.00 525.00 583.33 -583.33 4,313.36 0.00
17+010 0.00 80.00 0.00 800.00 888.89 -888.89 3,424.47 0.00
17+020 0.00 80.00 0.00 800.00 888.89 -888.89 2,535.58 0.00
17+030 0.00 80.00 0.00 800.00 888.89 -888.89 1,646.69 0.00
17+040 0.00 80.00 0.00 800.00 888.89 -888.89 757.80 0.00
17+050 0.00 80.00 0.00 800.00 888.89 -888.89 -131.09 0.00
17+060 0.00 80.00 0.00 800.00 888.89 -888.89 -1,019.98 0.00
17+062 0.00 80.00 0.00 120.00 133.33 -133.33 -1,153.31 0.00
17+069 0.00 75.00 0.00 612.25 680.28 -680.28 -1,833.59 0.00
17+080 0.00 60.00 0.00 715.50 795.00 -795.00 -2,628.59 0.00
17+100 0.00 10.00 0.00 700.00 777.78 -777.78 -3,406.37 0.00
17+120 2.05 0.00 20.50 100.00 111.11 -90.61 -3,496.98 20.50
17+123 1.01 0.00 3.83 0.00 0.00 3.83 -3,493.15 0.00
17+140 3.95 0.00 43.40 0.00 0.00 43.40 -3,449.75 0.00
17+160 5.19 0.00 91.40 0.00 0.00 91.40 -3,358.35 0.00
17+180 4.14 0.00 93.30 0.00 0.00 93.30 -3,265.05 0.00
17+183 2.36 0.00 8.78 0.00 0.00 8.78 -3,256.27 0.00
17+200 9.57 0.00 103.19 0.00 0.00 103.19 -3,153.08 0.00
17+208 13.39 0.00 94.14 0.00 0.00 94.14 -3,058.94 0.00
17+220 17.99 0.00 185.14 0.00 0.00 185.14 -2,873.80 0.00
17+240 27.64 0.00 456.30 0.00 0.00 456.30 -2,417.50 0.00
17+260 32.74 0.00 603.80 0.00 0.00 603.80 -1,813.70 0.00
17+266 35.49 0.00 201.28 0.00 0.00 201.28 -1,612.42 0.00
17+269 36.24 0.00 93.25 0.00 0.00 93.25 -1,519.17 0.00
17+280 40.90 0.00 443.56 0.00 0.00 443.56 -1,075.61 0.00
17+300 47.42 0.00 883.20 0.00 0.00 883.20 -192.41 0.00
17+320 45.69 0.00 931.10 0.00 0.00 931.10 738.69 0.00
17+321 44.92 0.00 54.37 0.00 0.00 54.37 793.06 0.00
17+324 47.92 0.00 139.26 0.00 0.00 139.26 932.32 0.00
17+330 60.25 0.00 313.69 0.00 0.00 313.69 1,246.01 0.00
17+340 67.73 0.00 639.90 0.00 0.00 639.90 1,885.91 0.00
17+350 59.40 0.00 635.65 0.00 0.00 635.65 2,521.56 0.00
TABLA 1: DETERMINACIÓN DE ORDENADAS DE MASA
Estación Diferencia
m m2 m2 m3 m3 0.901.00
TOTALES 46,367.93 62,491.10 -16,123.17 3,660.31
Area de corte
Area de relleno
Volumen de corte
Volumen de relleno
Vol. Relleno ajustado
Ordenada de masa
Volumen lateral (m3B)
17+360 57.40 0.00 584.00 0.00 0.00 584.00 3,105.56 0.00
17+370 53.01 0.00 552.05 0.00 0.00 552.05 3,657.61 0.00
17+380 55.26 0.00 541.35 0.00 0.00 541.35 4,198.96 0.00
17+390 53.21 0.00 542.35 0.00 0.00 542.35 4,741.31 0.00
17+394 51.45 5.00 183.16 8.75 9.72 173.44 4,914.75 9.72
17+400 48.98 5.00 326.40 32.50 36.11 290.29 5,205.04 36.11
17+420 36.93 10.00 859.10 150.00 166.67 692.43 5,897.47 166.67
17+440 21.91 15.00 588.40 250.00 277.78 310.62 6,208.09 277.78
17+460 15.70 20.00 376.10 350.00 388.89 -12.79 6,195.30 376.10
17+480 9.95 5.00 256.50 250.00 277.78 -21.28 6,174.02 256.50
17+500 0.02 3.00 99.70 80.00 88.89 10.81 6,184.83 88.89
17+520 0.00 20.00 0.20 230.00 255.56 -255.36 5,929.47 0.20
17+529 0.00 59.00 0.00 343.65 381.83 -381.83 5,547.64 0.00
17+538 0.00 59.00 0.00 531.00 590.00 -590.00 4,957.64 0.00
17+540 0.00 59.00 0.00 135.70 150.78 -150.78 4,806.86 0.00
17+560 0.00 59.00 0.00 1,180.00 1,311.11 -1,311.11 3,495.75 0.00
17+580 0.00 59.00 0.00 1,180.00 1,311.11 -1,311.11 2,184.64 0.00
17+600 0.00 59.00 0.00 1,180.00 1,311.11 -1,311.11 873.53 0.00
17+612 0.00 59.00 0.00 690.30 767.00 -767.00 106.53 0.00
17+620 0.00 59.00 0.00 489.70 544.11 -544.11 -437.58 0.00
17+626 0.00 59.00 0.00 330.40 367.11 -367.11 -804.69 0.00
17+640 0.00 59.00 0.00 849.60 944.00 -944.00 -1,748.69 0.00
17+660 0.00 59.00 0.00 1,180.00 1,311.11 -1,311.11 -3,059.80 0.00
17+680 0.00 59.00 0.00 1,180.00 1,311.11 -1,311.11 -4,370.91 0.00
17+700 0.00 59.00 0.00 1,180.00 1,311.11 -1,311.11 -5,682.02 0.00
17+709 0.00 59.00 0.00 519.20 576.89 -576.89 -6,258.91 0.00
17+720 0.00 59.00 0.00 660.80 734.22 -734.22 -6,993.13 0.00
17+740 0.00 59.00 0.00 1,180.00 1,311.11 -1,311.11 -8,304.24 0.00
17+750 0.00 55.00 0.00 570.00 633.33 -633.33 -8,937.57 0.00
17+760 0.00 40.00 0.00 475.00 527.78 -527.78 -9,465.35 0.00
17+770 0.00 30.00 0.00 350.00 388.89 -388.89 -9,854.24 0.00
17+780 0.00 25.00 0.00 275.00 305.56 -305.56 -10,159.80 0.00
17+803 0.00 20.00 0.00 506.25 562.50 -562.50 -10,722.30 0.00
17+810 0.00 19.00 0.00 146.25 162.50 -162.50 -10,884.80 0.00
17+820 0.00 19.00 0.00 190.00 211.11 -211.11 -11,095.91 0.00
17+840 0.00 19.00 0.00 380.00 422.22 -422.22 -11,518.13 0.00
17+860 0.00 19.00 0.00 380.00 422.22 -422.22 -11,940.35 0.00
17+880 0.00 19.00 0.00 380.00 422.22 -422.22 -12,362.57 0.00
17+890 0.00 19.00 0.00 190.00 211.11 -211.11 -12,573.68 0.00
17+900 0.00 19.00 0.00 190.00 211.11 -211.11 -12,784.79 0.00
17+910 0.00 19.00 0.00 190.00 211.11 -211.11 -12,995.90 0.00
17+920 0.00 19.00 0.00 190.00 211.11 -211.11 -13,207.01 0.00
17+930 0.00 19.00 0.00 190.00 211.11 -211.11 -13,418.12 0.00
17+940 0.00 19.00 0.00 190.00 211.11 -211.11 -13,629.23 0.00
17+950 0.00 19.00 0.00 190.00 211.11 -211.11 -13,840.34 0.00
17+960 0.00 19.00 0.00 190.00 211.11 -211.11 -14,051.45 0.00
17+970 0.00 19.00 0.00 190.00 211.11 -211.11 -14,262.56 0.00
17+980 0.00 19.00 0.00 190.00 211.11 -211.11 -14,473.67 0.00
17+990 0.00 19.00 0.00 190.00 211.11 -211.11 -14,684.78 0.00
18+000 0.00 19.00 0.00 190.00 211.11 -211.11 -14,895.89 0.00
18+007 0.00 19.00 0.00 131.10 145.67 -145.67 -15,041.56 0.00
18+013 0.00 19.00 0.00 115.90 128.78 -128.78 -15,170.34 0.00
18+020 0.00 19.00 0.00 133.00 147.78 -147.78 -15,318.12 0.00
18+030 0.00 19.00 0.00 190.00 211.11 -211.11 -15,529.23 0.00
18+040 0.00 19.00 0.00 190.00 211.11 -211.11 -15,740.34 0.00
18+050 0.00 19.00 0.00 190.00 211.11 -211.11 -15,951.45 0.00
18+060 0.00 19.00 0.00 190.00 211.11 -211.11 -16,162.56 0.00
TABLA 1: DETERMINACIÓN DE ORDENADAS DE MASA
Estación Diferencia
m m2 m2 m3 m3 0.901.00
TOTALES 46,367.93 62,491.10 -16,123.17 3,660.31
Area de corte
Area de relleno
Volumen de corte
Volumen de relleno
Vol. Relleno ajustado
Ordenada de masa
Volumen lateral (m3B)
18+070 0.00 19.00 0.00 190.00 211.11 -211.11 -16,373.67 0.00
18+080 0.00 19.00 0.00 190.00 211.11 -211.11 -16,584.78 0.00
18+090 0.00 19.00 0.00 190.00 211.11 -211.11 -16,795.89 0.00
18+100 0.00 19.00 0.00 190.00 211.11 -211.11 -17,007.00 0.00
18+110 0.00 19.00 0.00 190.00 211.11 -211.11 -17,218.11 0.00
18+120 0.00 19.00 0.00 190.00 211.11 -211.11 -17,429.22 0.00
18+130 0.00 19.00 0.00 190.00 211.11 -211.11 -17,640.33 0.00
18+140 0.00 19.00 0.00 190.00 211.11 -211.11 -17,851.44 0.00
18+150 0.00 19.00 0.00 190.00 211.11 -211.11 -18,062.55 0.00
18+160 0.00 19.00 0.00 190.00 211.11 -211.11 -18,273.66 0.00
18+170 0.00 18.00 0.00 185.00 205.56 -205.56 -18,479.22 0.00
18+180 0.00 17.00 0.00 175.00 194.44 -194.44 -18,673.66 0.00
18+190 0.73 0.00 3.65 85.00 94.44 -90.79 -18,764.45 3.65
18+200 6.62 0.00 36.75 0.00 0.00 36.75 -18,727.70 0.00
18+210 10.01 0.00 83.15 0.00 0.00 83.15 -18,644.55 0.00
18+220 13.19 0.00 116.00 0.00 0.00 116.00 -18,528.55 0.00
18+230 16.72 0.00 149.55 0.00 0.00 149.55 -18,379.00 0.00
18+240 10.14 0.00 134.30 0.00 0.00 134.30 -18,244.70 0.00
18+250 15.24 0.00 126.90 0.00 0.00 126.90 -18,117.80 0.00
18+260 19.73 0.00 174.85 0.00 0.00 174.85 -17,942.95 0.00
18+270 24.14 0.00 219.35 0.00 0.00 219.35 -17,723.60 0.00
18+280 28.56 0.00 263.50 0.00 0.00 263.50 -17,460.10 0.00
18+290 28.84 0.00 287.00 0.00 0.00 287.00 -17,173.10 0.00
18+300 27.34 0.00 280.90 0.00 0.00 280.90 -16,892.20 0.00
18+310 25.91 0.00 266.25 0.00 0.00 266.25 -16,625.95 0.00
18+320 27.57 0.00 267.40 0.00 0.00 267.40 -16,358.55 0.00
18+330 24.59 0.00 260.80 0.00 0.00 260.80 -16,097.75 0.00
18+340 25.65 0.00 251.20 0.00 0.00 251.20 -15,846.55 0.00
18+360 24.67 0.00 503.20 0.00 0.00 503.20 -15,343.35 0.00
18+370 23.15 0.00 239.10 0.00 0.00 239.10 -15,104.25 0.00
18+380 17.53 0.00 203.40 0.00 0.00 203.40 -14,900.85 0.00
18+390 11.93 0.00 147.30 0.00 0.00 147.30 -14,753.55 0.00
18+400 6.39 0.00 91.60 0.00 0.00 91.60 -14,661.95 0.00
18+410 1.01 10.00 37.00 50.00 55.56 -18.56 -14,680.51 37.00
18+420 0.00 25.00 5.05 175.00 194.44 -189.39 -14,869.90 5.05
18+430 0.00 30.00 0.00 275.00 305.56 -305.56 -15,175.46 0.00
18+440 0.00 30.00 0.00 300.00 333.33 -333.33 -15,508.79 0.00
18+450 0.00 30.00 0.00 300.00 333.33 -333.33 -15,842.12 0.00
18+460 0.00 32.00 0.00 310.00 344.44 -344.44 -16,186.56 0.00
18+480 0.00 35.00 0.00 670.00 744.44 -744.44 -16,931.00 0.00
18+500 0.00 45.00 0.00 800.00 888.89 -888.89 -17,819.89 0.00
18+520 0.00 35.00 0.00 800.00 888.89 -888.89 -18,708.78 0.00
18+540 1.78 0.00 17.80 350.00 388.89 -371.09 -19,079.87 17.80
18+560 41.08 0.00 428.60 0.00 0.00 428.60 -18,651.27 0.00
18+570 56.53 0.00 488.05 0.00 0.00 488.05 -18,163.22 0.00
18+580 64.30 0.00 604.15 0.00 0.00 604.15 -17,559.07 0.00
18+595 60.28 0.00 903.21 0.00 0.00 903.21 -16,655.86 0.00
18+600 48.41 0.00 298.90 0.00 0.00 298.90 -16,356.96 0.00
18+610 7.62 0.00 280.15 0.00 0.00 280.15 -16,076.81 0.00
18+620 0.00 30.00 38.10 150.00 166.67 -128.57 -16,205.38 38.10
18+640 0.00 60.00 0.00 900.00 1,000.00 -1,000.00 -17,205.38 0.00
18+660 0.00 50.00 0.00 1,100.00 1,222.22 -1,222.22 -18,427.60 0.00
18+680 0.00 30.00 0.00 800.00 888.89 -888.89 -19,316.49 0.00
18+700 0.35 10.00 3.50 400.00 444.44 -440.94 -19,757.43 3.50
18+720 4.09 0.00 44.40 100.00 111.11 -66.71 -19,824.14 44.40
18+740 5.49 0.00 95.80 0.00 0.00 95.80 -19,728.34 0.00
18+747 10.04 0.00 54.36 0.00 0.00 54.36 -19,673.98 0.00
TABLA 1: DETERMINACIÓN DE ORDENADAS DE MASA
Estación Diferencia
m m2 m2 m3 m3 0.901.00
TOTALES 46,367.93 62,491.10 -16,123.17 3,660.31
Area de corte
Area de relleno
Volumen de corte
Volumen de relleno
Vol. Relleno ajustado
Ordenada de masa
Volumen lateral (m3B)
18+750 6.86 0.00 25.35 0.00 0.00 25.35 -19,648.63 0.00
18+760 7.41 0.00 71.35 0.00 0.00 71.35 -19,577.28 0.00
18+770 6.07 0.00 67.40 0.00 0.00 67.40 -19,509.88 0.00
18+780 11.85 0.00 89.60 0.00 0.00 89.60 -19,420.28 0.00
18+790 10.05 0.00 109.50 0.00 0.00 109.50 -19,310.78 0.00
18+800 3.70 0.00 68.75 0.00 0.00 68.75 -19,242.03 0.00
18+810 4.46 0.00 40.80 0.00 0.00 40.80 -19,201.23 0.00
18+820 3.16 0.00 38.10 0.00 0.00 38.10 -19,163.13 0.00
18+830 0.00 20.00 15.80 100.00 111.11 -95.31 -19,258.44 15.80
18+840 0.64 0.00 3.20 100.00 111.11 -107.91 -19,366.35 3.20
18+850 0.01 0.00 3.25 0.00 0.00 3.25 -19,363.10 0.00
18+860 0.72 0.00 3.65 0.00 0.00 3.65 -19,359.45 0.00
18+870 1.31 0.00 10.15 0.00 0.00 10.15 -19,349.30 0.00
18+880 2.64 0.00 19.75 0.00 0.00 19.75 -19,329.55 0.00
18+900 0.83 0.00 34.70 0.00 0.00 34.70 -19,294.85 0.00
18+920 2.29 0.00 31.20 0.00 0.00 31.20 -19,263.65 0.00
18+939 0.84 0.00 29.27 0.00 0.00 29.27 -19,234.38 0.00
18+940 5.96 0.00 4.42 0.00 0.00 4.42 -19,229.96 0.00
18+949 5.39 0.00 48.80 0.00 0.00 48.80 -19,181.16 0.00
18+960 2.54 0.00 45.20 0.00 0.00 45.20 -19,135.96 0.00
18+980 5.57 0.00 81.10 0.00 0.00 81.10 -19,054.86 0.00
19+000 7.44 0.00 130.10 0.00 0.00 130.10 -18,924.76 0.00
19+020 8.41 0.00 158.50 0.00 0.00 158.50 -18,766.26 0.00
19+040 9.90 0.00 183.10 0.00 0.00 183.10 -18,583.16 0.00
19+060 11.15 0.00 210.50 0.00 0.00 210.50 -18,372.66 0.00
19+080 14.59 0.00 257.40 0.00 0.00 257.40 -18,115.26 0.00
19+084 15.10 0.00 56.41 0.00 0.00 56.41 -18,058.85 0.00
19+090 15.88 0.00 96.04 0.00 0.00 96.04 -17,962.81 0.00
19+100 19.82 0.00 178.50 0.00 0.00 178.50 -17,784.31 0.00
19+109 21.86 0.00 187.56 0.00 0.00 187.56 -17,596.75 0.00
19+110 25.00 0.00 23.43 0.00 0.00 23.43 -17,573.32 0.00
19+120 24.73 5.00 248.65 25.00 27.78 220.87 -17,352.45 27.78
19+130 22.71 5.00 237.20 50.00 55.56 181.64 -17,170.81 55.56
19+140 19.70 5.00 212.05 50.00 55.56 156.49 -17,014.32 55.56
19+150 14.19 5.00 169.45 50.00 55.56 113.89 -16,900.43 55.56
19+160 10.51 0.00 123.50 25.00 27.78 95.72 -16,804.71 27.78
19+170 2.06 0.00 62.85 0.00 0.00 62.85 -16,741.86 0.00
19+180 0.10 0.00 10.80 0.00 0.00 10.80 -16,731.06 0.00
19+183 0.00 5.00 0.17 8.50 9.44 -9.27 -16,740.33 0.17
19+200 0.01 5.00 0.08 83.00 92.22 -92.14 -16,832.47 0.08
19+220 0.00 18.00 0.10 230.00 255.56 -255.46 -17,087.93 0.10
19+227 0.00 18.00 0.00 133.20 148.00 -148.00 -17,235.93 0.00
19+230 0.00 18.00 0.00 46.80 52.00 -52.00 -17,287.93 0.00
19+240 0.00 18.00 0.00 180.00 200.00 -200.00 -17,487.93 0.00
19+250 0.00 18.00 0.00 180.00 200.00 -200.00 -17,687.93 0.00
19+260 0.00 18.00 0.00 180.00 200.00 -200.00 -17,887.93 0.00
19+270 0.00 18.00 0.00 180.00 200.00 -200.00 -18,087.93 0.00
19+280 0.00 18.00 0.00 180.00 200.00 -200.00 -18,287.93 0.00
19+286 0.00 18.00 0.00 106.20 118.00 -118.00 -18,405.93 0.00
19+290 0.00 18.00 0.00 73.80 82.00 -82.00 -18,487.93 0.00
19+300 0.00 18.00 0.00 180.00 200.00 -200.00 -18,687.93 0.00
19+310 0.00 18.00 0.00 180.00 200.00 -200.00 -18,887.93 0.00
19+317 0.00 18.00 0.00 120.60 134.00 -134.00 -19,021.93 0.00
19+320 0.00 18.00 0.00 59.40 66.00 -66.00 -19,087.93 0.00
19+340 0.00 18.00 0.00 360.00 400.00 -400.00 -19,487.93 0.00
19+360 2.52 15.00 25.20 330.00 366.67 -341.47 -19,829.40 25.20
19+373 4.90 10.00 49.71 167.50 186.11 -136.40 -19,965.80 49.71
TABLA 1: DETERMINACIÓN DE ORDENADAS DE MASA
Estación Diferencia
m m2 m2 m3 m3 0.901.00
TOTALES 46,367.93 62,491.10 -16,123.17 3,660.31
Area de corte
Area de relleno
Volumen de corte
Volumen de relleno
Vol. Relleno ajustado
Ordenada de masa
Volumen lateral (m3B)
19+380 4.68 5.00 31.61 49.50 55.00 -23.39 -19,989.19 31.61
19+390 16.91 0.00 107.95 25.00 27.78 80.17 -19,909.02 27.78
19+400 13.47 0.00 151.90 0.00 0.00 151.90 -19,757.12 0.00
19+409 17.10 0.00 134.51 0.00 0.00 134.51 -19,622.61 0.00
19+420 24.68 0.00 233.97 0.00 0.00 233.97 -19,388.64 0.00
19+430 0.00 0.00 123.40 0.00 0.00 123.40 -19,265.24 0.00
19+440 18.80 0.00 94.00 0.00 0.00 94.00 -19,171.24 0.00
19+444 17.49 0.00 72.58 0.00 0.00 72.58 -19,098.66 0.00
19+455 18.47 0.00 188.79 0.00 0.00 188.79 -18,909.87 0.00
19+460 17.96 0.00 100.18 0.00 0.00 100.18 -18,809.69 0.00
19+470 12.87 0.00 154.15 0.00 0.00 154.15 -18,655.54 0.00
19+480 8.06 0.00 104.65 0.00 0.00 104.65 -18,550.89 0.00
19+500 6.11 0.00 141.70 0.00 0.00 141.70 -18,409.19 0.00
19+520 4.80 0.00 109.10 0.00 0.00 109.10 -18,300.09 0.00
19+532 8.86 0.00 81.96 0.00 0.00 81.96 -18,218.13 0.00
19+540 7.14 0.00 64.00 0.00 0.00 64.00 -18,154.13 0.00
19+546 6.91 0.00 38.64 0.00 0.00 38.64 -18,115.49 0.00
19+560 7.94 0.00 107.66 0.00 0.00 107.66 -18,007.83 0.00
19+569 8.62 0.00 75.35 0.00 0.00 75.35 -17,932.48 0.00
19+571 9.92 0.00 17.61 0.00 0.00 17.61 -17,914.87 0.00
19+580 10.86 0.00 93.51 0.00 0.00 93.51 -17,821.36 0.00
19+590 11.63 0.00 112.45 0.00 0.00 112.45 -17,708.91 0.00
19+590 11.44 0.00 4.61 0.00 0.00 4.61 -17,704.30 0.00
19+600 9.68 0.00 101.38 0.00 0.00 101.38 -17,602.92 0.00
19+610 3.83 0.00 69.58 0.00 0.00 69.58 -17,533.34 0.00
19+620 1.31 0.00 24.93 0.00 0.00 24.93 -17,508.41 0.00
19+640 0.04 0.00 13.50 0.00 0.00 13.50 -17,494.91 0.00
19+660 0.10 0.00 1.40 0.00 0.00 1.40 -17,493.51 0.00
19+680 0.15 0.00 2.50 0.00 0.00 2.50 -17,491.01 0.00
19+700 2.87 0.00 30.20 0.00 0.00 30.20 -17,460.81 0.00
19+720 26.79 0.00 296.60 0.00 0.00 296.60 -17,164.21 0.00
19+737 40.31 0.00 560.29 0.00 0.00 560.29 -16,603.92 0.00
19+740 50.01 0.00 149.03 0.00 0.00 149.03 -16,454.89 0.00
19+745 53.45 0.00 258.65 0.00 0.00 258.65 -16,196.24 0.00
19+756 60.68 0.00 622.01 0.00 0.00 622.01 -15,574.23 0.00
19+760 63.63 0.00 254.84 0.00 0.00 254.84 -15,319.39 0.00
19+766 56.76 0.00 355.15 0.00 0.00 355.15 -14,964.24 0.00
19+780 16.73 0.00 518.10 0.00 0.00 518.10 -14,446.14 0.00
19+800 7.83 0.00 245.60 0.00 0.00 245.60 -14,200.54 0.00
19+813 0.00 5.00 50.90 32.50 36.11 14.79 -14,185.75 36.11
19+820 0.00 20.00 0.00 87.50 97.22 -97.22 -14,282.97 0.00
19+828 0.00 75.00 0.00 356.25 395.83 -395.83 -14,678.80 0.00
19+830 0.00 75.00 0.00 157.50 175.00 -175.00 -14,853.80 0.00
19+832 0.00 70.00 0.00 174.00 193.33 -193.33 -15,047.13 0.00
19+840 0.00 50.00 0.00 480.00 533.33 -533.33 -15,580.46 0.00
19+840 0.00 20.00 0.00 14.00 15.56 -15.56 -15,596.02 0.00
19+850 0.00 10.00 0.00 144.00 160.00 -160.00 -15,756.02 0.00
19+860 0.00 15.00 0.00 125.00 138.89 -138.89 -15,894.91 0.00
19+872 0.00 10.00 0.00 143.75 159.72 -159.72 -16,054.63 0.00
19+880 0.00 8.00 0.00 76.50 85.00 -85.00 -16,139.63 0.00
19+890 0.00 6.00 0.00 70.00 77.78 -77.78 -16,217.41 0.00
19+900 0.88 0.00 4.40 30.00 33.33 -28.93 -16,246.34 4.40
19+910 3.81 0.00 23.45 0.00 0.00 23.45 -16,222.89 0.00
19+920 2.86 0.00 33.35 0.00 0.00 33.35 -16,189.54 0.00
19+926 0.50 0.00 10.08 0.00 0.00 10.08 -16,179.46 0.00
19+930 2.59 0.00 6.18 0.00 0.00 6.18 -16,173.28 0.00
19+940 2.27 0.00 24.30 0.00 0.00 24.30 -16,148.98 0.00
TABLA 1: DETERMINACIÓN DE ORDENADAS DE MASA
Estación Diferencia
m m2 m2 m3 m3 0.901.00
TOTALES 46,367.93 62,491.10 -16,123.17 3,660.31
Area de corte
Area de relleno
Volumen de corte
Volumen de relleno
Vol. Relleno ajustado
Ordenada de masa
Volumen lateral (m3B)
19+947 0.00 0.00 7.95 0.00 0.00 7.95 -16,141.03 0.00
19+950 1.44 0.00 2.16 0.00 0.00 2.16 -16,138.87 0.00
19+960 0.65 0.00 10.45 0.00 0.00 10.45 -16,128.42 0.00
19+970 0.17 0.00 4.10 0.00 0.00 4.10 -16,124.32 0.00
19+980 0.03 0.00 1.00 0.00 0.00 1.00 -16,123.32 0.00
19+990 0.00 0.00 0.15 0.00 0.00 0.15 -16,123.17 0.00
20+000 0.00 0.00 0.00 0.00 0.00 0.00 -16,123.17 0.00TOTALES 46,367.93 62,491.10 -16,123.17 3,660.31
TABLA 2: DESCRIPCION DE AREAS Y ORDENAS DE LÍNEA DE BALANCE
Area VolumenProgresivas
Corte Relleno
No. m3B m Inicio Fin Inicio Fin
1.001 12.28 12.98 15+990.00 16+006.90 16+006.90 16+020.53 0.002 11.54 13.83 16+130.00 16+148.30 16+122.59 16+130.00 -219.403 3,750.18 198.93 16+480.00 16+541.56 16+130.00 16+480.00 -219.404 219.40 470.92 16+541.56 16+543.49 16+020.53 16+122.59 0.005 6,163.58 156.09 16+543.49 16+620.00 16+620.00 16+792.36 0.006 811.14 43.83 16+820.00 16+858.84 16+792.36 16+820.00 0.007 5,695.15 102.58 16+858.84 16+960.00 16+960.00 17+048.53 0.008 3,496.98 182.51 17+120.00 17+304.13 17+048.53 17+120.00 0.009 34.07 23.59 17+437.81 17+440.00 17+440.00 17+480.00 6,174.02
10 10.81 10.42 17+480.00 17+500.00 17+500.00 17+500.85 6,174.0211 6,174.02 186.20 17+304.13 17+437.81 17+500.85 17+613.33 0.0012 4,102.50 219.02 18+190.00 18+400.00 17+988.92 18+190.00 -14,661.9513 3,003.06 83.75 18+540.00 18+610.00 18+456.81 18+540.00 -16,076.8114 661.01 80.29 18+720.00 18+820.00 18+676.55 18+720.00 -19,163.1315 203.22 83.89 18+840.00 18+953.15 18+820.00 18+840.00 -19,163.1316 2,432.07 427.79 18+953.15 19+180.00 18+630.51 18+676.55 -16,731.0617 3,258.13 254.48 19+380.00 19+732.91 19+180.00 19+380.00 -16,731.0618 654.25 1,117.47 19+732.91 19+747.09 18+610.00 18+630.51 -16,076.8119 1,414.86 1,267.46 19+747.09 19+774.13 18+400.00 18+456.81 -14,661.9520 476.20 1,763.41 19+774.13 19,813.00 17+966.36 17+988.92 -14,185.7521 123.17 39.84 19+900.00 19+990.00 19+878.35 19+900.00 -16,123.17
3,660.31 12.00
Distancia promedio Ordenada
de Línea de Balance
TRABAJO729.00 1.- Impresión de las ordenadas masa
2.- Presentar las grafica general de la OM y de cada área
159.39 12.28 3.- Organizar las distancias que sean menores y mayores a 300 m159.60 11.54
4.- Obtener la distancia ponderada para caso (menores y mayores a 300 m)
35,552.27 811.14 Son 21 areas fuera del volumen lateral
803.71 34.07112.64 10.81
251,506.27 3003.0653,072.49 661.0117,048.13 203.22
4942 1.0757514594
4,907.09 123.1743,923.72 3660.31
407,245.32 8,530.61 47.74
2.- Presentar las grafica general de la OM y de cada área
3.- Organizar las distancias que sean menores y mayores a 300 m
4.- Obtener la distancia ponderada para caso (menores y mayores a 300 m)
Area Volumen
No. m3B m m3-m m
(1) (2) (3) (4)= (2)*(3) (5)1.001 12.28 12.98 159.392 11.54 13.83 159.603 3,750.18 198.93 0.004 219.40 470.92 0.005 6,163.58 156.09 0.006 811.14 43.83 35,552.277 5,695.15 102.58 0.008 3,496.98 182.51 0.009 34.07 23.59 803.71
10 10.81 10.42 112.6411 6,174.02 186.20 0.0012 4,102.50 219.02 0.0013 3,003.06 83.75 251,506.2714 661.01 80.29 53,072.4915 203.22 83.89 17,048.1316 2,432.07 427.79 0.0017 3,258.13 254.48 0.0018 654.25 1,117.47 0.0019 1,414.86 1,267.46 0.0020 476.20 1,763.41 0.0021 123.17 39.84 4,907.09
Volumen Lateral 3,660.31 12.00 43,923.72TOTAL 407,245.32 47.74
Se considera que el material es arena seca
TABLA 3: VOLUMENES CON DISTANCIAS MENORES A 100 METROS
Distancia promedio
Volumen x distancias
(menores 100 m)
Distancia Promedio de
Empuje (menor a 100 m)
La distancia promedio de empuje de material menor a 100 metros es 47.74 metros.
Progresivas
Corte Relleno729.00
Inicio Fin Inicio Fin
15+990.00 16+006.90 16+006.90 16+020.53 0.00 159.3916+130.00 16+148.30 16+122.59 16+130.00 -219.40 159.6016+480.00 16+541.56 16+130.00 16+480.00 -219.4016+541.56 16+543.49 16+020.53 16+122.59 0.0016+543.49 16+620.00 16+620.00 16+792.36 0.0016+820.00 16+858.84 16+792.36 16+820.00 0.00 35,552.2716+858.84 16+960.00 16+960.00 17+048.53 0.0017+120.00 17+304.13 17+048.53 17+120.00 0.0017+437.81 17+440.00 17+440.00 17+480.00 6,174.02 803.7117+480.00 17+500.00 17+500.00 17+500.85 6,174.02 112.6417+304.13 17+437.81 17+500.85 17+613.33 0.0018+190.00 18+400.00 17+988.92 18+190.00 -14,661.9518+540.00 18+610.00 18+456.81 18+540.00 -16,076.81 251,506.2718+720.00 18+820.00 18+676.55 18+720.00 -19,163.13 53,072.4918+840.00 18+953.15 18+820.00 18+840.00 -19,163.13 17,048.1318+953.15 19+180.00 18+630.51 18+676.55 -16,731.0619+380.00 19+732.91 19+180.00 19+380.00 -16,731.0619+732.91 19+747.09 18+610.00 18+630.51 -16,076.8119+747.09 19+774.13 18+400.00 18+456.81 -14,661.9519+774.13 19,813.00 17+966.36 17+988.92 -14,185.7519+900.00 19+990.00 19+878.35 19+900.00 -16,123.17 4,907.09
43,923.7247.739296111
407,245.32
Ordenada de Línea de
Balance
TRABAJO
1.- Impresión de las ordenadas masa2.- Presentar las grafica general de la OM y de cada área
12.28 3.- Organizar las distancias que sean menores y mayores a 300 m11.54
4.- Obtener la distancia ponderada para caso (menores y mayores a 300 m)
811.14 Son 21 areas fuera del volumen lateral
34.0710.81
3003.06661.01203.22
4942 1.0757514594
123.173660.31
8,530.61 47.74
CALCULO DE PRODUCCIÓN DE TRACTOR
Paso 1: PRODUCCIÓN IDEALPara el desarrollo del ejercicio se ha considerado un tractor D7G-7S Hoja recta.
230 m3S / hr
Paso 2: CORRECCIÓN POR PENDIENTEConsiderando para el desarrollo del ejercicio una pendiente a favor de 1% (cuesta abajo)
De acuerdo a la grafica, el factor de corrección: 1.03
Utilizando el manual CATERPILLAR (pag 1-44), se obtiene una producción de 230 m3 s/hr
CALCULO DE PRODUCCIÓN DE TRACTOR
Paso 3: CORRECCIÓN POR PESO DE MATERIAL Se basa en una densidad de suelo de 1,370 kg/,M3sSe ha considerado como material Arena Seca, de acuerdo a la tabla 1.1, su peso suelto es de 1,340 kg/m3SLas tablas del producción ideal del manual se basan en 1,370 kg(m3S)
1370 kg/m3S = 1.021340 kg/m3S
Paso 4: HABILIDAD DEL OPERADORConsiderando un operador bueno, se tiene un factor de: 0.75
Paso 5: CORRECCIÓN POR TIPO DE MATERIALSe ha considerado material Suelto y Amontonado, cuyo facotr es: 1.20
Paso 6: TECNICA DE OPERACIÓNTecnica de opración no especificada: 1.00
Paso 7: VISIBILIDADSe asume visibilidad satisfactoria: 1.00
Paso 8: FACTOR DE EFICIENCIAConsiderando 45 min-hr 0.75
45 min-hr = 0.7560 min-hr
Paso 9: CALCULO DE PRODUCCION
1.03 1.02 0.75 1.20 1.00 1.00 0.75 = 0.71Pendiente Peso Operador Material Tecnica Visibilidad Eficiencia
230 m3S /hr * 0.71 = 163.11 m3S /hr
Paso 10: CONVERSIÓN DE MATERIALDe acuerdo a la tabla 1.1, el factor de expansión es 0.87Producción: 163.11 m3S /hr x 0.87 = 141.90 m3B /hr
Paso 11: DETERMINACIÓN DEL TOTAL DE HORAS REQUERIDASCantidad de horas de operación para mover 8,530.61 m3
8,530.61 m3B = 60.12 hr141.90 m3B /hr
Paso 12: ESTIMACIÓN DEL COSTO Y TIEMPO NECESARIO PARA EMPUJE DE MATERIAL
Tarifa ($/hr): 107.78 x 60.12 = 6,479.73 USD ($) Incluye operador+combustible
Considerado jornadas laborales de 10 horas: 60.12 hrs = 6.01 dias10.00 hrs
16+000 16+500 17+000 17+500 18+000 18+500 19+000 19+500 20+000-25,000
-20,000
-15,000
-10,000
-5,000
0
5,000
10,000DIAGRAMA DE MASA
A11
A12
A16A13
A17
A18A19
A20
15+985 15+990 15+995 16+000 16+005 16+010 16+015 16+020 16+025-15
-10
-5
0
5
10
15
0.00
3.43
12.28
1.12
Area 1 (15+990-16+020.53)
16+110 16+120 16+130 16+140 16+150 16+160 16+170 16+180 16+190-235
-230
-225
-220
-215
-210
1; -215.37
2; -230.94
4; -219.40
5; -224.22
Area 2 (16+122.59-16+148.30)
15+900 16+000 16+100 16+200 16+300 16+400 16+500 16+600-5,000
-4,000
-3,000
-2,000
-1,000
0
1,000
2,000
3,000
Area 3 (16+148.30-16+541.56)Area 4 (16+020.53 - 16+543.49)
16+500 16+550 16+600 16+650 16+700 16+750 16+800 16+850-1,000
0
1,000
2,000
3,000
4,000
5,000
6,000
7,000Area 5 (16+543.49-16+792.36)
16+770 16+780 16+790 16+800 16+810 16+820 16+830 16+840 16+850 16+860 16+870-1,000
-800
-600
-400
-200
0
200
400
600
800Area 6 (16+792.36-16+858.84)
16+800 16+850 16+900 16+950 17+000 17+050 17+100-1,000
0
1,000
2,000
3,000
4,000
5,000
6,000
7,000
1; -378.102; 49.70
13; 5,695.1514; 5,598.58
20; 757.80
21; -131.09
Area 7 (16+858.84-17+048.53)
17+000 17+050 17+100 17+150 17+200 17+250 17+300 17+350-4,000
-3,500
-3,000
-2,500
-2,000
-1,500
-1,000
-500
0
500
1,000
1; 757.80
2; -131.09
8; -3,496.98
14; -3,153.08
20; -1,519.17
21; -1,075.61
22; -192.41
23; 738.69
Area 8 (17+048.53-17+304.13)
17+400 17+420 17+440 17+460 17+480 17+500 17+520 17+5406,100
6,120
6,140
6,160
6,180
6,200
6,220
Area 9 (17+437.81 - 17+480)Area 10 (17+480 - 17+500.85)
17+250 17+300 17+350 17+400 17+450 17+500 17+550 17+600 17+650-1,000
0
1,000
2,000
3,000
4,000
5,000
6,000
7,000
Area 11 (17+304.13 - 17+613.33)
AREA 11
17+900 18+000 18+100 18+200 18+300 18+400 18+500 18+600-20,000
-19,000
-18,000
-17,000
-16,000
-15,000
-14,000
-13,000
-12,000
-14,661.95
-18,764.45
Area 12 (17+988.92 - 18+400.00)
AREA 12
18+400 18+450 18+500 18+550 18+600 18+650 18+700-20,000
-19,000
-18,000
-17,000
-16,000
-15,000
-14,000
-16,076.81
-19,079.87
Area 13 (18+456.81 - 18+610.00)
AREA 13
18+600 18+650 18+700 18+750 18+800 18+850 18+900 18+950 19+000 19+050-20,000
-19,800
-19,600
-19,400
-19,200
-19,000
-18,800
-18,600
-19163.13
Area 14 (18+676.55 - 18+820)Area 15 (18+820 - 18+953.15)
AREA 14AREA 15
18+400 18+500 18+600 18+700 18+800 18+900 19+000 19+100 19+200 19+300 19+400-20,000
-19,000
-18,000
-17,000
-16,000
-15,000
-14,000
-16731.06
-19,163.13
Area 16 (18+630.51 - 19+180.00)
AREA 16
19+000 19+100 19+200 19+300 19+400 19+500 19+600 19+700 19+800-20,000
-19,500
-19,000
-18,500
-18,000
-17,500
-17,000
-16,500
-16,000
-16731.06
Area 17 (19+180.00 - 19+732.91)
AREA 17
17+900 18+400 18+900 19+400 19+900 20+400-20,000
-19,000
-18,000
-17,000
-16,000
-15,000
-14,000-14,185.75
-14,661.95
-16,076.81
-16731.06
Area 18 (18+610.00 - 19+747.09)Area 19 (18+400.00 - 19+774.13)Area 20 (17+966.36 - 19+813.00)
AREA 19
AREA 18
AREA 20
19+850 19+870 19+890 19+910 19+930 19+950 19+970 19+990 20+010-16,300
-16,250
-16,200
-16,150
-16,100
-16,050
-16,000
-16,123.17
-16,246.34
Area 21 (19+878.35 - 19+990.00)
AREA 21
Interpolación
16+540 -396.6716+560 1873.73
16+543.49 0
15+990 0.00
16+000 3.43 17.1516+007 12.28 54.216+020 1.12 87.7716020.53 0.00 0.3
159.42
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