DATOSDATOSDATOS GENERALESCaudal125pie3/sn0.013(recubrimiento de hormigon)Longitud2500piesDiametro6piesS00.035Coef. Corioliss1.03CALCULO DEL TIRANTE NORMALFORMULASAREAAn=34.435pies2PERIMETROPn=25.407pies5.8330.9681750n=8.469radianes8.4692.62E+04hn=4.380piesCALCULANDO EL TIRANTE CRITICO31.980c=18.02radianes18.0216377.3361126078hc=5.746pies

(Qn)/(1.489So^(1/2) )=AR^(2/3)R=A/PA=r^2/2(-sen)P=r"(" (Qn)/(1.489So^(1/2) ))^3*2^13/D^8 = (-sen)^5/^2(Q^28^3)/(gD^5 ) = (-sen)^3/(sen /2)hc=D/2(1+cos(-/2))hn=D/2(1+cos(-/2))(Qn)/(1.489So^(1/2) )=AR^(2/3)R=A/PA=r^2/2(-sen)P=r"(" (Qn)/(1.489So^(1/2) ))^3*2^13/D^8 = (-sen)^5/^2(Q^28^3)/(gD^5 ) = (-sen)^3/(sen /2)hc=D/2(1+cos(-/2))hn=D/2(1+cos(-/2))=AR^(2/3)(-sen)^5/^2"= " (-sen)^3/(sen /2)(-sen)^5/^2"= " (-sen)^3/(sen /2)

MET. GRAFICO(secc-circular)FLUJO GRADUALMENTE VARIADO - METODO GRAFICOCAUDAL125pies/segFLUJO CRITICOFUJO NORMALDIAMETRO6piesZc22.37n8.469piesPENDIENTE(So)0.035c18.020radianesAn34.435pies2Coef. Manning0.013hc5.746piesPn25.407piesCoef. Corioliss1.03Rn1.355piesKn4830.410 (radianes)hAreaPerim.RTDZKdX/dddX/d(pies)(pies)(pies)(pies)(pies)(pies)(radianes)08.4694.38034.43525.4071.3555.3286.4687.544830.4138.3740.008.9723.67438.40326.9151.4275.8476.5798.425574.74108.7364.044108.739.4742.92642.85828.4231.5085.9987.15114.566454.8462.4641.44862.469.9772.18247.25829.9311.5795.7738.19135.217339.2949.0332.04649.0310.4801.49051.07331.4391.6255.1849.85160.308084.0043.5725.33743.5710.9820.89353.92132.9471.6374.27012.63191.608576.8641.2719.03441.2711.4850.42855.65434.4551.6153.08818.02236.278775.6840.6212.37640.6211.9880.12556.40635.9631.5681.71232.95323.808721.3641.025.08941.0212.4900.00256.54837.4711.5090.228248.42891.278521.5342.07-2.80242.0712.9930.06856.60638.9791.4521.27144.55377.828314.5242.98-10.78642.9813.4960.31857.12540.4881.4112.68921.24263.298231.0143.27-17.94043.2713.9990.73758.53741.9961.3943.93914.86225.678366.1842.44-23.28442.4414.5011.29861.05043.5041.4034.94112.36214.618764.9240.59-26.36740.5915.0041.96664.60545.0121.4355.63211.47218.819415.4238.37-27.39738.3715.5072.69868.87946.5201.4815.97011.54233.9710248.8836.39-26.80436.3916.0093.45073.37748.0281.5285.93212.37258.0711148.6934.91-24.90134.9116.5124.17477.54449.5361.5655.52214.04290.6011974.4433.92-21.85333.9217.0154.82480.91051.0441.5854.76416.98333.4312598.6533.34-17.77633.3417.5175.35983.20052.5521.5833.70822.44394.1312944.9933.09-12.80033.0918.0205.74684.40954.0601.5612.41834.91498.7313012.2233.0795.00833.07dX/d(radianes)8.4690.008.972108.739.47462.469.97749.0310.48043.5710.98241.2711.48540.6211.98841.0212.49042.0712.99342.9813.49643.2713.99942.4414.50140.5915.00438.3715.50736.3916.00934.9116.51233.9217.01533.3417.51733.0918.02033.07dX acum.zxyCURVA DE DESAGUE(radianes)(radianes)(pies)(pies)(pies)38.3744.3801.3438.355.7264.0443.6742.2464.005.9141.4482.9261.4541.424.3832.0462.1821.1232.033.3025.3371.4900.8925.322.3819.0340.8930.6719.021.5612.3760.4280.4312.370.865.0890.1250.185.090.30-2.8020.002-0.10-2.80-0.10-10.7860.068-0.38-10.78-0.31-17.9400.318-0.63-17.93-0.31-23.2840.737-0.81-23.27-0.08-26.3671.298-0.92-26.350.38-27.3971.966-0.96-27.381.01-26.8042.698-0.94-26.791.76-24.9013.450-0.87-24.892.58-21.8534.174-0.76-21.843.41-17.7764.824-0.62-17.764.20-12.8005.359-0.45-12.794.9195.0085.7463.3294.959.070.000

MET. GRAFICO(secc-circular)

(radianes)Pendiente

MET. ENERGIA(secc-circular)

(radianes)

MET. INTEGRACION(secc-circular

CURVA DE REMANSO

FLUJO GRADUALMENTE VARIADO - METODO DE LA ENERGIACAUDAL125pies/segFLUJO CRITICOFLUJO NORMALDIAMETRO6piesZc22.04n8.4690radianesPENDIENTE(So)0.035c18.0200radianesAn34.44pies2Coef. Manning0.013hc5.75piesPn25.41piescoriolis1Rn1.36piesKn4830.41hAreaPerim.RTEESfSfmSo - Sfm = ES8.4694.38034.43525.4071.3555.3288.670.0018.9813.66038.48426.9431.4285.8539.150.4710.0000.0010.0313.6959.4932.89743.02828.4801.5115.9969.620.4790.0000.0000.0313.86810.0052.14147.49330.0161.5825.74910.110.4890.0000.0000.0314.09410.5181.44151.32531.5531.6275.12610.610.4970.0000.0000.0314.29811.0300.84354.13133.0891.6364.16911.110.5030.0000.0000.0314.45911.5420.38555.78434.6261.6112.94111.620.5070.0000.0000.0314.58112.0540.09856.44936.1621.5611.52012.130.5100.0000.0000.0314.66612.5660.00056.54937.6991.5000.00012.640.5120.0000.0000.0314.71413.0780.09856.64839.2351.444-1.51913.150.5120.0000.0000.0314.71913.5910.38557.31340.7721.406-2.94013.660.5100.0000.0000.0314.67914.1030.84258.96542.3081.394-4.16914.170.5080.0000.0000.0314.61014.6151.44161.77143.8451.409-5.12614.68-0.5060.0000.0000.03-14.54315.1272.14165.60245.3811.446-5.74915.18-0.5050.0000.0000.03-14.50315.6392.89770.06746.9181.493-5.99615.69-0.5050.0000.0000.03-14.49916.1513.66074.61248.4541.540-5.85316.19-0.5060.0000.0000.03-14.52116.6644.37978.66149.9911.574-5.32816.70-0.5080.0000.0000.03-14.55517.1765.00981.76751.5271.5874.45617.21-0.5090.0000.0000.03-14.59117.6885.50883.72453.0641.5783.29217.72-0.5100.0000.0000.03-14.62518.2005.84384.62254.6001.5501.91518.23-0.5110.0000.0000.03-14.651d acum.zxyCURVA DE REMANSOd acum.hd acum.(radianes)(radianes)(pies)(pies)(pies)(radianes)(radianes)(radianes)0.0004.3800.000.004.388.4690.0004.3800.00013.6953.6600.4813.694.148.98113.6953.66013.69527.5632.8970.9627.553.869.49327.5632.89727.56341.6572.1411.4641.633.6010.00541.6572.14141.65755.9541.4411.9655.923.4010.51855.9541.44155.95470.4140.8432.4670.373.3111.03070.4140.84370.41484.9950.3852.9784.943.3611.54284.9950.38584.99599.6610.0983.4999.603.5912.05499.6610.09899.661114.3750.0004.00114.314.0012.566114.3750.000114.375129.0940.0984.52129.024.6213.078129.0940.098129.094143.7730.3855.03143.695.4213.591143.7730.385143.773158.3840.8425.54158.296.3814.103158.3840.842158.384143.8411.4415.03143.756.4714.615143.8411.441143.841129.3382.1414.53129.266.6715.127129.3382.141129.338114.8402.8974.02114.776.9215.639114.8402.897114.840100.3193.6603.51100.267.1716.151100.3193.660100.31985.7644.3793.0085.717.3816.66485.7644.37985.76471.1735.0092.4971.137.5017.17671.1735.00971.17356.5485.5081.9856.517.49PENDIENTE (S = 0.025)17.68856.5485.50856.54841.8975.8431.4741.877.3118.20041.8975.84341.897

hd acum.

d acum.

XYFLUJO GRADUALMENTE VARIADO

FLUJO GRADUALMENTE VARIADO - METODO DE LA INTEGRACION DIRECTACAUDAL125pies/segFLUJO CRITICOFLUJO NORMALDIAMETRO6piesZc22.04hn4.38piesc18.020radienesn8.47radianesPENDIENTE(So)0.035hc5.746piesAn34.44pies2Coef. Manning0.013coriolis1hn/S0125.1347729413hAreaPerim.h/hnh/BNMJVF(,N)F(V,J)BXiX = L(pies)(radianes)(pies)(pies)(X(i+1) - Xi)4.3804.74123.9613.140.791.0820.7303.5803.8004.5901.0640.27000.34003.59658254.6859.7964.4404.81324.3113.320.801.0990.7403.5603.8004.6841.0740.28100.35103.69123264.481-13.4944.4994.88424.6513.500.811.1150.7503.5503.7004.1761.0970.30100.37103.21201250.98639.3684.5594.95324.9613.680.831.1310.7603.4003.7004.8571.0900.31600.38603.90029290.35423.2204.6195.02025.2713.860.841.1460.7703.3503.7005.1541.0930.33300.40304.20032313.57432.8484.6795.08525.5514.040.851.1610.7803.3003.7005.5001.0940.36300.43304.55034346.42227.7012.82.893.04.7385.14925.8214.220.861.1760.7903.2503.7005.9091.0930.37000.44004.96401374.123-7.7464.7985.21026.0814.390.871.1900.8003.2003.7006.4001.0910.30400.37405.46041366.377124.7821.0151.4281.1661.3104.8585.27026.3114.570.881.2030.8103.1503.8009.0001.0670.30800.37808.01524491.15937.1891.0151.31014.9185.32826.5414.750.891.2160.8203.1203.8009.7501.0650.30800.37808.76667528.34925.0511.0201.3271.1911.26584.9785.38326.7414.930.901.2290.8303.1003.80010.3331.0640.30400.37409.35111553.40089.0535.0375.43726.9315.110.911.2410.8403.0503.80012.2001.0560.30400.374011.22133642.453136.2785.0975.48827.1115.290.911.2530.8503.0003.80015.0001.0460.36000.380014.02667778.731256.2975.1575.53727.2715.470.921.2640.8592.9203.80024.3331.0290.24000.310023.377781035.028-1476.0505.2175.58427.4215.650.931.2750.8692.8004.000-14.0000.9530.23800.3080-14.80923-441.023189.6305.2775.62827.5515.830.941.2850.8792.7104.000-9.3450.9300.23000.3000-10.21327-251.39287.3015.3365.67027.6716.010.951.2950.8892.6404.000-7.3330.9110.22000.2900-8.22735-164.09132.0425.3965.71027.7716.190.951.3040.8992.6004.000-6.5000.8990.21900.2890-7.40462-132.04937.4595.4565.74727.8616.370.961.3120.9092.5504.000-5.6670.8850.21200.2820-6.58188-94.59026.2785.5165.78227.9516.550.961.3200.9192.5204.000-5.2500.8750.20000.2700-6.17051-68.31268.3120hdX acum.dX acum.hzxyCURVA DE REMANSO(pies)(pies)(pies)(pies)(pies)(pies)(pies)4.74-9.80-9.804.74-0.34-9.794.404.813.703.704.810.133.704.944.8843.0743.074.881.5143.046.394.9566.2966.294.952.3266.257.275.0233.4433.445.021.1733.426.195.095.745.745.090.205.735.295.15-2.01-2.015.15-0.07-2.015.085.21122.77122.775.214.30122.709.515.2785.5885.585.272.9985.538.265.33110.63110.635.333.87110.579.205.38199.69199.695.386.99199.5712.375.44335.97335.975.4411.76335.7617.195.49592.26592.265.4920.72591.9026.215.542068.312068.315.5472.382067.0577.915.582257.942257.945.5879.012256.5684.605.632345.242345.245.6382.072343.8187.695.672377.292377.295.6783.192375.8388.865.712414.752414.755.7184.502413.2790.215.752441.022441.025.7585.422439.5391.17PENDIENTE (S = 0.025)5.782509.342509.345.7887.812507.8093.59

FLUJO GRADUALMENTE VARIADO