Sheet1Area inicial sec caja de corteA=31.669cm2desplazam.d=varia segun la fuerza horizontal "Fh"d: desplazamientoDiamet. de caja de corteD=6.35cmFv: fuerza verticalAngulo=varia segun el desplazamiento "d"Fh: fuerza horizontalal valor (d) del desplzamiento multiplicar por 0,01 para hallar los desplazamientos en milimetros (mm)

Fv1=20kgfFv2=40kgfFv3=60kgfFv3=80kgfdFh1Fh2Fh3Fh4d(mm)d(cm)D(cm)(rad)sen()At (cm2)At(m2)00.000.000.000.000.000000.000006.350001.570801.0000031.66920.003172023.0021.0050.0063.000.200000.020006.350001.567651.0000031.54220.003154028.0043.0072.0090.000.400000.040006.350001.564500.9999831.41520.003146031.0053.0083.00109.000.600000.060006.350001.561350.9999631.28820.003138034.0057.0092.00122.000.800000.080006.350001.558200.9999231.16120.0031210036.0061.0099.00133.001.000000.100006.350001.555050.9998831.03420.0031012038.0064.00106.00142.001.200000.120006.350001.551900.9998230.90730.0030914040.0067.00110.00152.001.400000.140006.350001.548750.9997630.78030.0030816041.0070.00117.00158.001.600000.160006.350001.545600.9996830.65330.0030718043.0074.00124.00166.001.800000.180006.350001.542450.9996030.52640.0030520045.0077.00129.00174.002.000000.200006.350001.539300.9995030.39940.0030422047.0080.00134.00180.002.200000.220006.350001.536140.9994030.27250.0030324048.0084.00139.00185.002.400000.240006.350001.532990.9992930.14560.0030126050.0086.00143.00190.002.600000.260006.350001.529840.9991630.01870.0030028051.0089.00147.00194.002.800000.280006.350001.526690.9990329.89180.0029930052.0092.00150.00198.003.000000.300006.350001.523530.9988829.76490.0029832053.0094.00154.00203.003.200000.320006.350001.520380.9987329.63810.0029634053.0097.00157.00205.003.400000.340006.350001.517230.9985729.51120.0029536053.0099.00158.00208.003.600000.360006.350001.514070.9983929.38440.0029438053.00101.00161.00210.003.800000.380006.350001.510920.9982129.25770.0029340053.00101.50162.00212.004.000000.400006.350001.507760.9980129.13090.0029142053.50102.00163.00212.004.200000.420006.350001.504610.9978129.00420.0029044053.50102.00164.00211.004.400000.440006.350001.501450.9976028.87750.0028946053.50102.00164.00209.004.600000.460006.350001.498290.9973728.75080.0028848052.50102.50164.50208.004.800000.480006.350001.495130.9971428.62410.0028650052.50102.50165.00206.005.000000.500006.350001.491970.9969028.49750.0028552052.00100.00165.00204.005.200000.520006.350001.488810.9966428.37090.0028454051.5099.00165.00203.005.400000.540006.350001.485650.9963828.24440.0028256051.0098.50165.00200.005.600000.560006.350001.482490.9961028.11780.00281580165.005.800000.580006.350001.479330.9958227.99130.00280600161.006.000000.600006.350001.476170.9955327.86490.00279620160.006.200000.620006.350001.473000.9952227.73850.00277640159.006.400000.640006.350001.469840.9949127.61210.00276

fuerza horizontal (Fh) multiplicar por (0,3) factor de conversion a (kgf) los valores resaltados son los esfuerzos maximos de corte

d(mm)Fh1kgfFh2kgfFh3kgfFh4kgfAt (cm2)0.000.000.000.000.0031.66920.206.906.3015.0018.9031.54220.408.4012.9021.6027.0031.41520.609.3015.9024.9032.7031.28820.8010.2017.1027.6036.6031.16121.0010.8018.3029.7039.9031.03421.2011.4019.2031.8042.6030.90731.4012.0020.1033.0045.6030.78031.6012.3021.0035.1047.4030.65331.8012.9022.2037.2049.8030.52642.0013.5023.1038.7052.2030.39942.2014.1024.0040.2054.0030.27252.4014.4025.2041.7055.5030.14562.6015.0025.8042.9057.0030.01872.8015.3026.7044.1058.2029.89183.0015.6027.6045.0059.4029.76493.2015.9028.2046.2060.9029.63813.4015.9029.1047.1061.5029.51123.6015.9029.7047.4062.4029.38443.8015.9030.3048.3063.0029.25774.0015.9030.4548.6063.6029.13094.2016.0530.6048.9063.6029.00424.4016.0530.6049.2063.3028.87754.6016.0530.6049.2062.7028.75084.8015.7530.7549.3562.4028.62415.0015.7530.7549.5061.8028.49755.2015.6030.0049.5061.2028.37095.4015.4529.7049.5060.9028.24445.6015.3029.5549.5060.0028.11785.800.000.0049.500.0027.99136.000.000.0048.300.0027.86496.200.000.0048.000.0027.73856.400.000.0047.700.0027.6121

d(mm)1 (kgf/cm2) 2(kgf/cm2)3 (kgf/cm2)4 (kgf/cm2)0.000.0000.0000.0000.0000.200.2190.2000.4760.5990.400.2670.4110.6880.8590.600.2970.5080.7961.0450.800.3270.5490.8861.1751.000.3480.5900.9571.2861.200.3690.6211.0291.3781.400.3900.6531.0721.4811.600.4010.6851.1451.5461.800.4230.7271.2191.6312.000.4440.7601.2731.7172.200.4660.7931.3281.7842.400.4780.8361.3831.8412.600.5000.8591.4291.8992.800.5120.8931.4751.9473.000.5240.9271.5121.9963.200.5360.9511.5592.0553.400.5390.9861.5962.0843.600.5411.0111.6132.1243.800.5431.0361.6512.1534.000.5461.0451.6682.1834.200.5531.0551.6862.1934.400.5561.0601.7042.1924.600.5581.0641.7112.1814.800.5501.0741.7242.1805.000.5531.0791.7372.1695.200.5501.0571.7452.1575.400.5471.0521.7532.1565.600.5441.0511.7602.1345.800.0000.0001.7680.0006.000.0000.0001.7330.0006.200.0000.0001.7300.0006.400.0000.0001.7280.000

d(mm)1(kPa)2(kPa)3(kPa)4(kPa)0.000.0000.0000.0000.0000.2021.46019.59446.65258.7810.4026.23140.28367.45084.3130.6029.15949.85278.071102.5260.8032.11153.83386.889115.2221.0034.13957.84793.882126.1251.2036.18460.941100.934135.2131.4038.24564.061105.174145.3321.6039.36467.206112.331151.6941.8041.45671.342119.546160.0382.0043.56574.544124.886168.4512.2045.69277.774130.271174.9912.4046.86182.006135.700180.6092.6049.01984.314140.196186.2742.8050.21287.625144.729191.0033.0051.41590.965148.312195.7723.2052.62893.340152.919201.5753.4052.85496.733156.568204.4363.6053.08299.153158.245208.3223.8053.312101.595161.948211.2374.0053.544102.542163.663214.1774.2054.285103.498165.393215.1134.4054.524103.952167.138215.0374.6054.764104.410167.874213.9384.8053.978105.386169.131213.8565.0054.218105.854170.399212.7415.2053.941103.733171.159211.6155.4053.662103.156171.926211.5225.6053.380103.097172.700209.3335.800.0000.000173.4800.0006.000.0000.000170.0430.0006.200.0000.000169.7570.0006.400.0000.000169.4680.000

1(max)(kPa)54.7642(max)(kPa)105.8543(max)(kPa)173.4804(max)(kPa)215.113(kPa): esfuerzo normal en (kPa)98,1: factor de conversion a (kPa)los valores resaltados son los esfuerzos maximos de corte

Fv(kgf)Wp(kgf)(Fv+Wp)(kgf)A(cm2)n(kgf/cm2)n(kPa)200.4820.4831.670.6563.45400.4840.4831.671.28125.40600.4860.4831.671.91187.35800.4880.4831.672.54249.30confrontamos los valores de los esfuerzos cortantes maximos con los valores de los esfuerzos normales

(kPa)n(kPa)54.76463.45105.854125.40173.480187.35215.113249.30

Intercepto = Cohecion (c) = punto de paso = c=-1.1918Kpa-0.0121485561kg/cm2Pendiente o Slope = tangente del angulo de friccion =tan=0.8857Angulo de friccion ==0.7248rad=41.5296

Sheet2Fv1=20kgfFv2=40kgfFv3=60kgfFv3=80kgfdFh1Fh2Fh3Fh400.00.00.00.02023.021.050.063.04028.043.072.090.06031.053.083.0109.08034.057.092.0122.010036.061.099.0133.012038.064.0106.0142.014040.067.0110.0152.016041.070.0117.0158.018043.074.0124.0166.020045.077.0129.0174.022047.080.0134.0180.024048.084.0139.0185.026050.086.0143.0190.028051.089.0147.0194.030052.092.0150.0198.032053.094.0154.0203.034053.097.0157.0205.036053.099.0158.0208.038053.0101.0161.0210.040053.0101.5162.0212.042053.5102.0163.0212.044053.5102.0164.0211.046053.5102.0164.0209.048052.5102.5164.5208.050052.5102.5165.0206.052052.0100.0165.0204.054051.599.0165.0203.056051.098.5165.0200.0580165.0600161.0620160.0640159.0

Sheet3