tabla de curva masa

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ESTACION ELEVACIONES ESPESORES AREAS A1 + A2 S/DIST. VOLUMENES T. NAT. S/RAS. (+)C (-)T CORTE TERR. CORTE TERR. CORTE TERR. CORTE 0+000.00 24.55 24.55 0 8.30 0.00 0+020.00 24.74 24.88 ### 2.10 0.00 0.00 10.00 0.00 0+040.00 24.96 25.22 ### 0.00 4.10 2.10 4.10 10.00 21.00 41.00 1.20 0+060.00 24.60 25.55 ### 0.00 6.90 0.00 11.00 10.00 0.00 110.00 1.20 0+063.15 24.79 25.60 ### 0.00 3.60 0.00 10.50 1.58 0.00 16.54 1.20 0+074.35 26.01 25.79 ### 2.10 0.00 2.10 3.60 5.60 11.76 20.16 1.20 0+080.00 26.72 25.89 ### 5.80 0.00 7.90 0.00 2.83 22.32 0.00 1.20 0+085.55 27.11 25.98 1.13 10.80 0.00 16.60 0.00 2.78 46.07 0.00 0.00 0+100.00 27.39 26.23 1.16 12.80 0.00 23.60 0.00 7.23 170.51 0.00 1.20 0+120.00 27.79 26.56 1.23 11.80 0.00 24.60 0.00 10.00 246.00 0.00 1.20 0+130.35 27.40 26.73 ### 15.20 0.00 27.00 0.00 5.18 139.73 0.00 1.20 0+140.00 31.96 26.90 5.06 54.30 0.00 69.50 0.00 4.83 335.34 0.00 1.20 0+160.00 32.80 27.23 5.57 78.20 0.00 132.50 0.00 10.00 1325.00 0.00 1.20 0+180.00 32.96 27.54 5.42 96.40 0.00 174.60 0.00 10.00 1746.00 0.00 0.00 0+200.00 33.60 27.82 5.78 108.20 0.00 204.60 0.00 10.00 2046.00 0.00 0.00 0+220.00 34.10 28.04 6.06 110.00 0.00 218.20 0.00 10.00 2182.00 0.00 1.20 0+240.00 35.95 28.22 7.73 151.00 0.00 261.00 0.00 10.00 2610.00 0.00 1.20 0+260.00 35.62 28.36 7.26 132.30 0.00 283.30 0.00 10.00 2833.00 0.00 1.20 0+280.00 36.12 28.45 7.67 0.00 3.10 132.30 3.10 10.00 1323.00 31.00 1.20 0+300.00 37.62 28.51 9.11 182.80 0.00 182.80 3.10 10.00 1828.00 31.00 0+320.00 38.10 28.51 9.59 141.60 0.00 324.40 0.00 10.00 3244.00 0.00 0+326.85 38.87 28.49 10.38 147.10 0.00 288.70 0.00 3.43 988.80 0.00 0+340.00 38.95 28.47 10.48 133.10 0.00 280.20 0.00 6.57 1842.32 0.00 0+360.00 38.69 28.39 10.3 134.80 0.00 267.90 0.00 10.00 2679.00 0.00 0+371.65 37.01 28.31 8.7 144.00 0.00 278.80 0.00 5.82 1624.01 0.00 0+380.00 36.65 28.27 8.38 139.00 0.00 283.00 0.00 4.18 1181.53 0.00 COEF. ABUND.

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PARA EL CALCULO DE LA COORDENADAS DE LA CURVA MASA

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ESTACION ELEVACIONES ESPESORES AREAS A1 + A2 S/DIST. VOLUMENES VOL. ABUNDADOS

T. NAT. S/RAS. (+)C (-)T CORTE TERR. CORTE TERR. CORTE TERR.CORTE

CORTE TERR. (+) C (-) T0+000.00 24.55 24.55 0 8.30 0.000+020.00 24.74 24.88 ### 2.10 0.00 0.00 10.00 0.00 0.00 - 0.000+040.00 24.96 25.22 ### 0.00 4.10 2.10 4.10 10.00 21.00 41.00 1.20 25.20 41.00 -15.800+060.00 24.60 25.55 ### 0.00 6.90 0.00 11.00 10.00 0.00 110.00 1.20 0.00 0.00 0.000+063.15 24.79 25.60 ### 0.00 3.60 0.00 10.50 1.57 0.00 16.54 1.20 0.00 0.00 0.000+074.35 26.01 25.79 ### 2.10 0.00 2.10 3.60 5.60 11.76 20.16 1.20 14.11 0.00 14.110+080.00 26.72 25.89 ### 5.80 0.00 7.90 0.00 2.83 22.32 0.00 1.20 26.78 0.00 26.780+085.55 27.11 25.98 1.13 10.80 0.00 16.60 0.00 2.77 46.06 0.00 0.00 0.00 0.00 0.000+100.00 27.39 26.23 1.16 12.80 0.00 23.60 0.00 7.23 170.51 0.00 1.20 204.61 0.00 204.610+120.00 27.79 26.56 1.23 11.80 0.00 24.60 0.00 10.00 246.00 0.00 1.20 295.20 0.00 295.200+130.35 27.40 26.73 ### 15.20 0.00 27.00 0.00 5.17 139.72 0.00 1.20 167.67 0.00 167.670+140.00 31.96 26.90 5.06 54.30 0.00 69.50 0.00 4.83 335.34 0.00 1.20 402.41 0.00 402.410+160.00 32.80 27.23 5.57 78.20 0.00 132.50 0.00 10.00 1325.00 0.00 1.20 1590.00 0.00 1590.000+180.00 32.96 27.54 5.42 96.40 0.00 174.60 0.00 10.00 1746.00 0.00 0.00 0.00 0.00 0.000+200.00 33.60 27.82 5.78 108.20 0.00 204.60 0.00 10.00 2046.00 0.00 0.00 0.00 0.00 0.000+220.00 34.10 28.04 6.06 110.00 0.00 218.20 0.00 10.00 2182.00 0.00 1.20 2618.40 0.00 2618.400+240.00 35.95 28.22 7.73 151.00 0.00 261.00 0.00 10.00 2610.00 0.00 1.20 3132.00 0.00 3132.000+260.00 35.62 28.36 7.26 132.30 0.00 283.30 0.00 10.00 2833.00 0.00 1.20 3399.60 0.00 3399.600+280.00 36.12 28.45 7.67 0.00 3.10 132.30 3.10 10.00 1323.00 31.00 1.20 1587.60 31.00 1556.600+300.00 37.62 28.51 9.11 182.80 0.00 182.80 3.10 10.00 1828.00 31.00 31.00 -31.000+320.00 38.10 28.51 9.59 141.60 0.00 324.40 0.00 10.00 3244.00 0.00 0.00 0.000+326.85 38.87 28.49 10.38 147.10 0.00 288.70 0.00 3.43 988.80 0.00 0.00 0.000+340.00 38.95 28.47 10.48 133.10 0.00 280.20 0.00 6.57 1842.31 0.00 0.00 0.000+360.00 38.69 28.39 10.3 134.80 0.00 267.90 0.00 10.00 2679.00 0.00 0.00 0.000+371.65 37.01 28.31 8.7 144.00 0.00 278.80 0.00 5.82 1624.01 0.00 0.00 0.000+380.00 36.65 28.27 8.38 139.00 0.00 283.00 0.00 4.18 1181.53 0.00 0.00 0.00

COEF. ABUND.

SUMA ALG. VOL.

ABUN.

0+382.85 32.42 28.23 4.19 58.00 0.00 197.00 0.00 1.43 280.73 0.00 0.00 0.000+394.05 32.13 28.14 3.99 63.10 0.00 121.10 0.00 5.60 678.16 0.00 0.00 0.000+400.00 31.29 28.10 3.19 17.80 0.00 80.90 0.00 2.97 240.68 0.00 0.00 0.000+420.00 27.02 27.88 ### 8.20 0.60 26.00 0.60 10.00 260.00 6.00 6.00 -6.000+440.00 25.34 27.62 -2.28 0.00 29.00 8.20 29.60 10.00 82.00 296.00 296.00 -296.000+460.00 25.47 27.32 -1.85 0.00 24.50 0.00 53.50 10.00 0.00 535.00 535.00 -535.000+464.38 27.12 27.24 ### 5.80 1.90 5.80 26.40 2.19 12.70 57.82 57.82 -57.820+475.58 26.35 27.05 ### 0.00 9.20 5.80 11.10 5.60 32.48 62.16 62.16 -62.160+480.00 24.09 26.97 -2.88 0.00 53.00 0.00 62.20 2.21 0.00 137.46 137.46 -137.460+486.78 26.03 26.84 ### 0.00 8.20 0.00 61.20 3.39 0.00 207.47 207.47 -207.470+500.00 23.21 26.59 -3.38 0.00 55.00 0.00 63.20 6.61 0.00 417.75 417.75 -417.750+520.00 22.18 26.15 -3.97 0.00 82.60 0.00 137.60 10.00 0.00 1376.00 1376.00 -1376.000+531.58 21.95 25.90 -3.95 0.00 84.00 0.00 166.60 5.79 0.00 964.61 964.61 -964.610+540.00 21.31 25.67 -4.36 0.00 88.20 0.00 172.20 4.21 0.00 724.96 724.96 -724.960+560.00 22.47 25.15 -2.68 0.00 41.00 0.00 129.20 10.00 0.00 1292.00 1292.00 -1292.000+580.00 19.16 24.58 -5.42 0.00 94.00 0.00 135.00 10.00 0.00 1350.00 1350.00 -1350.000+600.00 18.38 24.05 -5.67 0.00 103.70 0.00 197.70 10.00 0.00 1977.00 1977.00 -1977.000+620.00 18.01 23.32 -5.31 0.00 100.50 0.00 204.20 10.00 0.00 2042.00 2042.00 -2042.000+640.00 16.55 22.63 -6.08 0.00 105.50 0.00 206.00 10.00 0.00 2060.00 2060.00 -2060.000+644.33 16.01 22.47 -6.46 0.00 103.00 0.00 208.50 2.17 0.00 451.40 451.40 -451.400+660.00 16.14 21.91 -5.77 0.00 93.20 0.00 196.20 7.83 0.00 1537.23 1537.23 -1537.230+680.00 16.75 21.27 -4.52 0.00 58.00 0.00 151.20 10.00 0.00 1512.00 1512.00 -1512.000+689.13 17.03 21.03 -4 0.00 53.00 0.00 111.00 4.56 0.00 506.71 506.71 -506.710+700.00 17.93 20.79 -2.86 0.00 58.00 0.00 111.00 5.44 0.00 603.29 603.29 -603.290+700.33 18.38 20.78 -2.4 0.00 36.00 0.00 94.00 0.17 0.00 15.51 15.51 -15.510+711.53 18.99 20.58 -1.59 0.00 24.00 0.00 60.00 5.60 0.00 336.00 336.00 -336.000+720.00 19.35 20.48 -1.13 0.00 13.70 0.00 37.70 4.24 0.00 159.66 159.66 -159.660+740.00 19.03 20.33 -1.3 0.00 7.50 0.00 21.20 10.00 0.00 212.00 212.00 -212.000+760.00 20.89 20.34 ### 8.00 1.00 8.00 8.50 10.00 80.00 85.00 85.00 -85.000+780.00 21.12 20.51 ### 4.00 0.00 12.00 1.00 10.00 120.00 10.00 10.00 -10.000+800.00 22.35 20.85 1.5 23.00 0.00 27.00 0.00 10.00 270.00 0.00 0.00 0.000+820.00 22.16 21.35 ### 14.00 0.00 37.00 0.00 10.00 370.00 0.00 0.00 0.000+840.00 22.97 21.93 1.04 17.00 0.00 31.00 0.00 10.00 310.00 0.00 0.00 0.000+847.98 22.17 22.51 -0.34 6.20 10.50 23.20 10.50 3.99 92.57 41.90 41.90 -41.90

600.00600.00584.20584.20584.20598.31625.09625.09829.71

1124.911292.581694.983284.983284.983284.985903.389035.38

12434.9813991.5813960.5813960.5813960.5813960.5813960.5813960.5813960.58

ORD. CURVA M.

13960.5813960.5813960.5813954.5813658.5813123.5813065.7613003.6012866.1412658.6712240.9210864.92

9900.319175.357883.356533.354556.352514.35

454.352.94

-1534.28-3046.28-3553.00-4156.28-4171.79-4507.79-4667.45-4879.45-4964.45-4974.45-4974.45-4974.45-4974.45-5016.35

21.3122.4719.1618.3818.0116.5516.0116.1416.7517.0317.9318.3818.9919.3519.0320.8921.1222.3522.1622.9722.1723.92

EST.

2+66

0.00

2+68

0.00

2+70

0.00

2+72

0.00

2+74

0.00

2+76

0.00

2+78

0.00

2+80

0.00

2+82

0.00

2+84

0.00

2+86

0.00

2+88

0.00

2+90

0.00

2+92

0.00

2+94

0.00

2+96

0.00

2+98

0.00

3+00

0.00

3+02

0.00

3+04

0.00

0.00

50.00

100.00

150.00

200.00

250.00

300.00

350.00

400.00

450.00

500.00

550.00

600.00

650.00

GRAFICA DE LA CURVA MASA

VOLUMENES

2+66

0.00

2+68

0.00

2+70

0.00

2+72

0.00

2+74

0.00

2+76

0.00

2+78

0.00

2+80

0.00

2+82

0.00

2+84

0.00

2+86

0.00

2+88

0.00

2+90

0.00

2+92

0.00

2+94

0.00

2+96

0.00

2+98

0.00

3+00

0.00

3+02

0.00

3+04

0.00

0.00

50.00

100.00

150.00

200.00

250.00

300.00

350.00

400.00

450.00

500.00

550.00

600.00

650.00

EJEMPLO DE COMPENSACION DE CURVA MASA.

DATOS:Pad = 68.00 Cad = 1.00Pat = 50.00 Cat = 1.00

m3./est. = 12.50 -12.50 Cnon. = 1.00m3/hm. = 8.30 -8.30 Cpar. = 1.00m3./km. = 4.10 -4.10 AL = 20.00

+ $ B {[( Σdpar - AL)/Cpar] - [(dnon - AL)/Cnon]}+ $ C {[( Σdpar - AL)/Cpar] - [(dnon - AL)/Cnon]}

1er. Tanteo. OCM = 700

Pad - Pat = 18.00 diferente a -24.00

0+000.000+100.000+871.00 d1 = 751.00 0.751 -3.081+367.00 d2 = 476.00 4.76 39.511+465.00 d3 = 78.00 3.9 -48.751+566.00 d4 = 81.00 4.05 50.632+028.00 d5 = 442.00 4.42 -36.692+120.00 d6 = 72.00 3.6 45.002+257.00 d7 = 117.00 5.85 -73.132+959.00 d8 = 682.00 0.682 2.803+946.00 d9 = 967.00 0.967 -3.964+863.00 d10 = 897.00 0.897 3.684+964.00 -24.00

2do. Tanteo. OCM = 650

Pad - Pat = 18.00 igual a 18.070+000.000+170.000+800.00 d1 = 610.00 0.610 -2.501+302.00 d2 = 482.00 4.820 40.011+392.00 d3 = 70.00 3.500 -43.751+499.00 d4 = 87.00 4.350 54.371+889.00 d5 = 370.00 3.700 -30.711+987.00 d6 = 78.00 3.900 48.752+090.00 d7 = 83.00 4.150 -51.882+860.00 d8 = 750.00 0.750 3.073+700.00 d9 = 820.00 0.820 -3.364+710.00 d10 = 990.00 0.990 4.064+964.00 18.07

Pad - Pat = $ A {[( Σdpar - AL)/Cpar] - [(dnon - AL)/Cnon]}