calculos

Vol. MuertoUNIVERSIDAD NACIONAL DE INGENIERAMEMORIA DE CLCULO REGULACIN DE CUENCA DEL RO CALLAZAS - TACNACODIGO:HH485-GCURSO:PRESAS DE EMBALSE YDERIVACINFACULTAD DE INGENIERA CIVILFECHA: Junio de 2014Descripcin de Trabajo: Determinacin de Volumen Muerto de Embalse

La ecuacin de USLE tiene la siguiente expresin matemtica:

Donde:A:Prdida de suelo promedio anualton/ha/aoR:Factor de erosividad de la lluva MJ/ha*mm/hrK:Factor de erodabilidad del sueloton/ha.MJ*ha/mm*hrLS:Factor topogrfico-C:Factor ordenacin de los cultivos (cubierta vegetal)-P:Factor de prcticas de conservacin (conservacin de la estructura del suelo)-

1. Parmetros de Entrada:PARMETROVALORUNIDADL:24.3KmL:24.3KmPendiente:1V:10HPendiente:1V:10H-Desnivel:262mDesnivel:262mI (d=60 min):13.4mm/hora(T=1000 aos)I (d=60 min):13.4mm/hora(T=1000 aos)I30 (d=30 min):40.16mm/hora(T=1000 aos)I30 (d=30 min):40.16mm/hora(T=1000 aos)Tipo de Suelo:Arena GruesaTipo de Suelo:Arena Gruesa-Dm:4mmDm:4mmNo existe Prcticas de conservacin de la cuenca.PracticasNo existe Prcticas de conservacin de la cuenca.

1. Erosividad de la lluvia (Factor R)

Datos:

I (d=60 min)=13.40mm/horaIntensidad de lluvia con una duracin de 1 hora y T=1000 aos.E=0.18MJ/ha*mmEnerga Cintica en 1mm de lluviaE*I30=7.36MJ/ha*mm/hrIndicador de potencial erosivo de la lluviaN=1.00Nmero de tormentas erosivasR=7.36MJ/ha*mm/hrErosividad anual

2. Erodabilidad del suelo (Factor K)

Caractersticas del suelo:40% de limos+arenas finas.50% de arenaNo presenta materia orgnicaSuelo granular de media a gruesa.Permeabilidad medianamente rpida

K=0.35

2. Factor Longitud de pendiente (Factor L)

l =859.58piesLongitud de pendiente =2.86gradosAngulo de pendientem=0.33Exponente de la longitud de la pendienteL=2.28Factor de Longitud de pendiente

3. Inclinacin de la pendiente (Factor S)

s=0.05%Inclinacin de pendiente=2.86gradosAngulo de pendienteS=0.3389519647Factor de inclinacin de pendiente

4. Factor de manejo de cobertura (Factor C)

C=1

5. Prcticas de control de erosin (Factor P)

P=1

6. Desarrollo de ecuacin de RUSLE:PARMETROVALORUNIDADR:7.36MJ/ha*mm/hrR:7.36MJ/ha*mm/hrK:0.35ton/ha.MJ*ha/mm*hrK:0.35ton/ha.MJ*ha/mm*hrL:2.28-L:2.28-S:0.34-S:0.34-A=1.988Ton/ha/aoC:1.00-C:1.00-P:1.00P:1.00Para un rea de:367.6km236760ha

La perdida de suelo anual por erosin hidrica ser:

A=73074.03Ton/ao

Para una vida util de 25 aos

Vol=689377.651058037m3Vol=0.7MMC

Referencias:http://artemisa.unicauca.edu.co/~hdulica/embalse.pdfcalculo de volumen muertohttp://es.wikipedia.org/wiki/Vida_%C3%BAtilvida util

Utilizando el Nomograma de Wischmeier.El factor C es usado para reflejar el efecto de la cultivacin y prcticas de manejo en las tasas de erosin. Este factor mide como el potencial de prdida de suelo ser distribuido en el tiempo durante la construccin de actividades, rotacin de cultivos, y otros esquemas de manejo.

Para el caso del problema, no existen practicas de conservacion, o sea no se tienen cultivos (suelo desnudo), por lo que:

La gua del usuario del RUSLE, sugiere las siguientes practicas minimas de conservacin de suelos, poniendo a consideracin los valores del factor P para diferentes condiciones:

Para el proyecto, no existen practicas de conservacin de la cuenca, por lo que:

Vol. til+Vol.MuertoUNIVERSIDAD NACIONAL DE INGENIERAMEMORIA DE CLCULO REGULACIN DE CUENCA DEL RO CALLAZAS - TACNACODIGO:HH485-GCURSO:PRESAS DE EMBALSE YDERIVACINFACULTAD DE INGENIERA CIVILFECHA: Junio de 2014Descripcin de Trabajo: Desarrollo de curvas altura vs volumen para cada alternativa de posicin de presa.

CURVA ALTURA VS VOLUMEN: ALTERNATIVA 1

H (alturade presa)Cota decoronaArea (m2)Area Acum.(km2)Cotas (m)dV (m3)V (m3)V (MMC)0.004218233.010.000.000.000.000.0002.0042201988.070.002.001934.471934.470.0024.0042225201.160.012.006936.578871.040.0096.00422415527.380.022.0019810.1528681.180.0298.00422632454.820.062.0046953.8575635.030.07610.00422849771.830.112.0081611.93157246.960.15712.00423065714.430.172.00115117.69272364.650.27214.00423278316.670.252.00143846.97416211.620.41616.00423488868.860.342.00167074.42583286.030.58318.00423698647.800.442.00187431.61770717.640.77120.004238108496.140.552.00207065.86977783.500.97822.004240118280.660.662.00226706.411204489.911.20424.004242128510.010.792.00246719.971451209.881.45126.004244138495.050.932.00266942.801718152.681.71828.004246149061.881.082.00287492.192005644.872.00630.004248160893.761.242.00309880.342315525.212.31632.004250176044.261.422.00336824.422652349.632.65234.004252193125.241.612.00369037.713021387.343.02136.004254211052.911.822.00404045.553425432.903.42538.004256236231.612.062.00447048.103872481.003.87240.004258259399.262.322.00495450.284367931.284.36842.004260289234.212.612.00548362.864916294.144.91644.004262336675.212.942.00625309.265541603.405.54246.004264393713.873.342.00729645.556271248.956.27148.004266446214.033.782.00839380.447110629.397.11150.004268490722.834.272.00936584.278047213.668.04752.004270533794.034.812.001024214.949071428.609.07154.004272573838.615.382.001107391.2710178819.8710.17956.004274619627.556.002.001193173.2611371993.1311.37258.004276673012.966.672.001292272.8912664266.0112.66460.004278739961.447.412.001412445.4214076711.4314.077

12.6641314.0858.0058.475393926260.00

Altura necesaria de Presa:58.48m


H (alturade presa)Cota decoronaArea (m2)Area Acum.(km2)Cotas (m)dV (m3)V (m3)V (MMC)0.0042263439.380.000.000.000.000.0002.00422813426.620.022.0015774.3515774.350.0164.00423023894.440.042.0036821.7052596.050.0536.00423231824.870.072.0055530.23108126.280.1088.00423438312.050.112.0070036.70178162.980.17810.00423644475.780.162.0082711.24260874.220.26112.00423850863.590.212.0095267.96356142.180.35614.00424057358.870.262.00108157.43464299.610.46416.00424264392.680.332.00121683.77585983.380.58618.00424471258.330.402.00135593.06721576.430.72220.00424678723.350.482.00149919.72871496.150.87122.00424887450.560.572.00166097.471037593.621.03824.00425099495.630.662.00186816.711224410.331.22426.004252113535.900.782.00212877.141437287.461.43728.004254128452.660.912.00241835.161679122.631.67930.004256150614.801.062.00278773.661957896.291.95832.004258170783.041.232.00321186.702279082.992.27934.004260197644.711.432.00368100.912647183.892.64736.004262242131.251.672.00439024.013086207.903.08638.004264296253.221.962.00537475.383623683.293.62440.004266345860.252.312.00641473.784265157.064.26542.004268387505.002.702.00732970.794998127.864.99844.004270427761.013.132.00814934.525813062.375.81346.004272464953.083.592.00892455.736705518.106.70648.004274507872.614.102.00972509.957678028.057.67850.004276558427.484.662.001065900.398743928.438.74452.004278622432.065.282.001180280.929924209.359.92454.004280685872.325.972.001307791.3711232000.7311.23256.004282753616.656.722.001438957.3212670958.0412.67111.23212.67113.0054.0056.0056.46Altura necesaria de Presa:56.46mCURVA ALTURA VS VOLUMEN: ALTERNATIVA 3H (alturade presa)Cota decoronaArea (m2)Area Acum.(km2)Cotas (m)dV (m3)V (m3)V (MMC)0.004234613.680.000.000.000.000.0002.0042362078.490.002.002547.712547.710.0034.0042384146.900.012.006107.508655.210.0096.0042406540.440.012.0010596.8519252.060.0198.0042429600.440.022.0016043.3135295.370.03510.00424413371.160.042.0022867.7458163.100.05812.00424618434.810.052.0031670.7589833.850.09014.00424826949.120.082.0045115.32134949.170.13516.00425037495.220.122.0064154.75199103.920.19918.00425248923.070.172.0086165.31285269.240.28520.00425467583.530.242.00116005.23401274.470.40122.00425684259.380.322.00151536.75552811.220.55324.004258107561.120.432.00191346.98744158.200.74426.004260148465.650.582.00254930.53999088.730.99928.004262199050.850.782.00346282.721345371.451.34530.004264245129.501.022.00443381.511788752.951.78932.004266283301.111.302.00527970.452316723.402.31734.004268320115.371.622.00603041.792919765.192.92036.004270353734.991.982.00673570.633593335.823.59338.004272393124.972.372.00746513.484339849.304.34040.004274440220.212.812.00832901.245172750.545.17342.004276500749.373.312.00940319.976113070.516.11344.004278560599.433.872.001060785.867173856.367.17446.004280624771.574.502.001184791.568358647.938.35948.004282712979.525.212.001336780.679695428.599.69550.004284712979.525.922.001425959.0411121387.6311.1217.17408.364278.004265.894,280.0044.0031.8946.00Considerando:Volumen til12.68MMCVolumen Muerto0.7MMCVol. Permanente13.38MMCAltura necesaria de Presa:46.00mCota necesaria de Corona:4280.00m.s.n.m.


H (alturade presa)Cota decoronaArea (m2)Area Acum.(km2)Cotas (m)dV (m3)V (m3)V (MMC)0.00423839.530.000.000.000.000.0002.004240771.730.002.00657.28657.280.0014.0042422603.470.002.003195.103852.380.0046.0042444513.650.012.007030.0810882.460.0118.0042467202.850.022.0011612.2422494.700.02210.00424811177.590.032.0018235.4740730.170.04112.00425018567.520.042.0029434.2470164.410.07014.00425228016.540.072.0046261.27116425.680.11616.00425438376.420.112.0066121.88182547.550.18318.00425656052.030.172.0093872.10276419.650.27620.00425871757.520.242.00127486.67403906.320.40422.00426094098.680.332.00165352.34569258.660.56924.004262134058.840.472.00226981.98796240.640.79626.004264183805.420.652.00316558.641112799.281.11328.004266228970.430.882.00411949.731524749.001.52530.004268266125.991.152.00494631.032019380.032.01932.004270301779.341.452.00567531.912586911.942.58734.004272334069.061.782.00635574.933222486.873.22236.004274372014.192.152.00705743.143928230.013.92838.004276417559.022.572.00789134.994717365.004.71740.004278476381.813.052.00893295.025610660.025.61142.004280534580.723.582.001010403.676621063.696.62144.004282597213.704.182.001131216.307752279.997.75246.004284683970.334.862.001280203.779032483.769.03248.004286781552.735.652.001464438.9310496922.6910.49750.004288880456.776.532.001661027.6912157950.3812.158Interpolacin de 50 a 52:52.004290972697.557.502.001852388.6314010339.0114.010y=0.926*X-34.142x es la Altura54.0042921057720.658.562.002029824.5516040163.5616.040Interpolacin de 52 a 54:56.0042941146490.679.702.002203615.2418243778.7918.244y=1.015*X-38.77Considerando solo vol. UtilVmuerto0.5690.70.8010.49712.15813.704260.004261.154,262.0048.0050.0051.86Vmue+Vutil12.15813.3814.01Considerando vol. Util y vol. Muerto50.0051.3252.0018.2440.00013.004288.004289.324,290.0056.000.0039.90Vav12.15813.7814.0112.15813.3814.014288.004289.754,290.004288.004289.324,290.0050.0051.3252.00Considerando:Volumen til12.68MMCVolumen Muerto0.7MMCVol. Permanente13.38MMC

Altura necesaria de Presa:51.32mSe disear para una altura de presa de 51.5mCota de base de Embalse:4238.00m.s.n.m.Cota de volumen muerto:4261.15m.s.n.m.Cota necesaria de Corona:4289.32m.s.n.m.

RESUMEN DE ALTURAS DE PRESA PARA DIFERENTES ALTERNATIVASALTERNATIVAALTURA DE PRESA (m)VOLUMEN(MMC)158.4813256.4613312.6813451.3213.38ALTERNATIVA ELEGIDA

Curva IDF 1000 AOSUNIVERSIDAD NACIONAL DE INGENIERAMEMORIA DE CLCULO REGULACIN DE CUENCA DEL RO CALLAZAS - TACNACODIGO:HH485-GUNIVERSIDAD NACIONAL DE INGENIERAMEMORIA DE CLCULO REGULACIN DE CUENCA DEL RO CALLAZAS - TACNACODIGO:HH485-GCURSO:PRESAS DE EMBALSE YDERIVACINCURSO:PRESAS DE EMBALSE YDERIVACINFACULTAD DE INGENIERA CIVILFACULTAD DE INGENIERA CIVILFECHA: Junio de 2014FECHA: Junio de 2014Descripcin de Trabajo: Determinacin de la curva IDF del proyectoDescripcin de Trabajo: Determinacin de la curva IDF del proyecto

2. INTENSIDAD MAXIMA EN 24 HORAS PARA UN T=1000 AOS Y 100 AOS (mm/hr).

1. DATOS DE PRECIPITACIN MXIMA EN 24 HORAS (mm). SENHAMIESTACION :CoranchayDEPARTAMENTO:TacnaLONGITUD:-7017'PERIODO :1955-2009PROVINCIA :CandaraveLATITUD :-1707'CUENCA :Ro CallazasDISTRITO :CandaraveALTITUD :4100m.s.n.m.

Se utilizar la Distribucin Gumbel, que calcula la probabilidad de ser menor o igual a un I(t=100 aos)Formula utilizadaDATOS GENERALESPARAMETROS DE DISTRIBUCINy0.5436ESTACION :CoranchayDEPARTAMENTO :TacnaLONGITUD:-7017'y1.1413PERIODO :1955-2009PROVINCIA :CandaraveLATITUD :-1707'N39CUENCA :Ro CallazasDISTRITO :CandaraveALTITUD :4100.000m.s.n.m.INTENSIDADES DE PRECIPITACION (mm/hora)Duracion Mayores a 1 hora.Duracion Menores a 1 hora.duraciones (horas)duraciones (horas)123456810121416182022240.170.330.500.670.83duraciones (min)duraciones (min)AOENEFEBMARABRMAYJUNJULAGOSEPOCTNOVDICPROM.MAXPmax24h (mm)Imax (mm/hora)6012018024030036048060072084096010801200132014401020304050196311.524.013.718.03.60.01.82.58.08.014.711.89.824.024.01.006.003.723.042.642.402.241.921.751.581.421.311.201.121.061.0041.5724.7218.2414.7012.43196420.518.07.713.04.00.00.02.00.00.09.012.07.220.520.50.855.133.182.602.262.051.911.641.501.351.221.111.030.950.900.8535.5121.1115.5812.5510.6219659.022.08.53.01.00.00.02.07.00.00.810.25.322.022.00.925.503.412.792.422.202.051.761.611.451.301.201.101.020.970.9238.1122.6616.7213.4711.4019666.023.522.00.018.00.00.00.00.09.010.030.59.930.530.51.277.634.733.863.363.052.852.442.232.011.811.661.531.421.341.2752.8331.4123.1718.6815.80196713.520.09.09.01.00.03.00.03.016.52.016.27.820.020.00.835.003.102.532.202.001.871.601.461.321.191.091.000.930.880.8334.6420.6015.2012.2510.36196825.611.032.83.06.09.01.00.00.012.514.37.510.232.832.81.378.205.084.153.613.283.062.622.392.161.941.781.641.531.451.3756.8133.7824.9220.0916.99196918.220.78.05.00.00.00.01.57.01.06.722.07.522.022.00.925.503.412.792.422.202.051.761.611.451.301.201.101.020.970.9238.1122.6616.7213.4711.40197023.015.39.71.65.10.00.00.00.05.80.010.35.923.023.00.965.753.572.912.532.302.151.841.681.511.361.251.151.071.010.9639.8423.6917.4814.0811.91197118.716.59.55.50.00.00.00.00.00.07.523.06.723.023.00.965.753.572.912.532.302.151.841.681.511.361.251.151.071.010.9639.8423.6917.4814.0811.91197219.027.017.212.20.00.00.00.03.212.01.219.09.227.027.01.136.754.193.422.972.702.522.161.971.781.601.471.351.261.191.1346.7727.8120.5216.5313.99197316.015.326.012.40.00.00.05.25.22.02.26.57.626.026.01.086.504.033.292.862.602.432.081.901.711.541.411.301.211.151.0845.0326.7819.7615.9213.47197423.021.015.032.70.00.00.012.03.00.08.527.311.932.732.71.368.185.074.143.603.273.052.622.392.151.941.781.641.521.441.3656.6433.6824.8520.0216.94197519.014.212.42.53.01.00.00.00.01.50.014.85.719.019.00.794.752.952.412.091.901.771.521.391.251.131.030.950.880.840.7932.9119.5714.4411.649.84197617.013.525.513.53.00.00.01.08.00.00.016.08.125.525.51.066.383.953.232.812.552.382.041.861.681.511.391.281.191.121.0644.1726.2619.3815.6213.21197727.024.519.59.40.00.00.00.02.37.111.210.89.327.027.01.136.754.193.422.972.702.522.161.971.781.601.471.351.261.191.1346.7727.8120.5216.5313.99197824.56.514.26.50.00.01.50.50.01.520.58.07.024.524.51.026.133.803.102.702.452.291.961.791.611.451.331.231.141.081.0242.4425.2318.6215.0012.69197912.29.510.50.00.00.00.09.51.59.08.922.97.022.922.90.955.733.552.902.522.292.141.831.671.511.361.251.151.061.010.9539.6623.5817.4014.0211.8619809.814.017.82.70.00.00.00.50.420.09.013.07.320.020.00.835.003.102.532.202.001.871.601.461.321.191.091.000.930.880.8334.6420.6015.2012.2510.36198115.017.09.56.00.00.00.05.02.00.04.517.06.317.017.00.714.252.642.151.871.701.591.361.241.121.010.920.850.790.750.7129.4417.5112.9210.418.81198214.020.012.511.50.00.00.00.07.47.53.47.97.020.020.00.835.003.102.532.202.001.871.601.461.321.191.091.000.930.880.8334.6420.6015.2012.2510.3619839.415.112.83.70.00.00.00.05.00.00.015.75.115.715.70.653.932.431.991.731.571.471.261.151.030.930.850.790.730.690.6527.1916.1711.939.618.13198428.026.018.510.41.04.00.04.40.012.527.26.211.528.028.01.177.004.343.553.082.802.612.242.041.841.661.521.401.301.231.1748.5028.8421.2817.1514.50198513.020.421.113.02.02.00.01.23.90.021.811.29.121.821.80.915.453.382.762.402.182.031.741.591.441.291.191.091.010.960.9137.7622.4516.5613.3511.29198630.839.510.84.92.40.08.22.00.00.02.523.410.439.539.51.659.886.125.004.353.953.693.162.882.602.342.151.981.841.741.6568.4240.6830.0124.1920.46198725.518.28.00.00.04.210.20.00.011.26.49.57.825.525.51.066.383.953.232.812.552.382.041.861.681.511.391.281.191.121.0644.1726.2619.3815.6213.21198825.013.818.27.20.00.00.00.00.02.20.011.06.525.025.01.046.253.883.172.752.502.332.001.831.651.481.361.251.161.101.0443.3025.7519.0015.3112.95198935.619.820.110.30.02.81.20.00.00.00.04.07.835.635.61.488.905.524.513.923.563.322.852.602.342.111.941.781.661.571.4861.6636.6627.0521.8018.44199014.810.512.95.02.624.00.00.00.08.117.420.09.624.024.01.006.003.723.042.642.402.241.921.751.581.421.311.201.121.061.0041.5724.7218.2414.7012.43199123.510.220.27.80.011.50.00.00.016.012.511.49.423.523.50.985.883.642.982.592.352.191.881.721.551.391.281.181.091.040.9840.7024.2017.8614.3912.1719927.86.90.40.00.02.20.01.20.05.37.018.34.118.318.30.764.582.842.322.011.831.711.461.341.201.081.000.920.850.810.7631.7018.8513.9011.219.48199319.713.215.66.00.23.10.217.81.14.24.514.48.319.719.70.824.933.052.502.171.971.841.581.441.301.171.070.990.920.870.8234.1220.2914.9712.0610.20199417.216.15.615.23.30.00.00.00.00.03.27.65.717.217.20.724.302.672.181.891.721.611.381.261.131.020.940.860.800.760.7229.7917.7113.0710.538.91199513.09.019.311.50.30.00.00.00.57.44.711.26.419.319.30.804.832.992.442.121.931.801.541.411.271.141.050.970.900.850.8033.4319.8814.6611.8210.0019969.117.610.69.52.00.00.01.81.20.07.623.76.923.723.70.995.933.673.002.612.372.211.901.731.561.411.291.191.101.040.9941.0524.4118.0114.5112.28199723.821.015.25.46.30.00.06.49.22.13.414.38.923.823.80.995.953.693.012.622.382.221.901.741.571.411.291.191.111.050.9941.2224.5118.0814.5712.33199830.512.84.90.70.03.50.00.00.00.528.510.57.730.530.51.277.634.733.863.363.052.852.442.232.011.811.661.531.421.341.2752.8331.4123.1718.6815.8019997.622.334.59.00.00.00.00.010.41.40.08.57.834.534.51.448.635.354.373.803.453.222.762.522.272.051.881.731.601.521.4459.7635.5326.2121.1317.87200017.617.511.06.84.00.50.10.00.07.53.05.86.217.617.60.734.402.732.231.941.761.641.411.281.161.040.960.880.820.780.7330.4818.1313.3710.789.12200127.814.814.312.20.52.20.43.51.65.22.76.07.627.827.81.166.954.313.523.062.782.592.222.031.831.651.511.391.291.231.1648.1528.6321.1217.0214.40MEDIA6.093.783.092.682.442.271.951.781.601.441.331.221.131.071.0242.2125.1018.5214.9212.62D. ESTANDAR1.380.850.700.610.550.510.440.400.360.330.300.280.260.240.239.555.684.193.382.860.831.341.631.882.072.222.592.843.143.493.814.144.454.694.970.120.200.270.340.405.443.372.752.392.172.031.741.591.431.291.181.091.010.960.9137.6622.3916.5213.3111.26P(T=1000aos)0.9990.9980.9980.9980.9980.9980.9980.9990.9980.9980.9980.9980.9980.9980.9980.9990.9990.9980.9980.999I (mm/hr)13.408.146.695.845.284.894.143.903.423.102.882.602.462.292.1992.7354.9840.1532.4727.70P (T=100aos)0.9900.9910.9910.9900.9910.9900.9910.9900.9900.9900.9900.9900.9910.9900.9910.9900.9900.9910.9910.990I (mm/hr)10.946.865.624.834.444.123.563.202.902.622.392.202.071.941.8475.8645.1533.7227.2322.70

UNIVERSIDAD NACIONAL DE INGENIERAMEMORIA DE CLCULO REGULACIN DE CUENCA DEL RO CALLAZAS - TACNACODIGO:HH485-GCURSO:PRESAS DE EMBALSE YDERIVACINFACULTAD DE INGENIERA CIVILFECHA: Junio de 2014Descripcin de Trabajo: Determinacin de la curva IDF del proyecto

3. GRFICA DE CURVAS IDF PARA T=1000 AOS.

Para 265.38 minI (1000 aos)=5.66mm/hr

4. METODO DE BLOQUES ALTERNOS

METODO DE BLOQUES ALTERNOSn13.0ordenadod (min)I (mm/hr)P acum(mm)P(mm)P(mm)7.6843366462t20.023.057.77.680.93256342822.86383263252t40.015.8210.52.861.03463421382.14735955563t60.012.7012.72.151.17661480771.78377891284t80.010.8614.51.781.39318384351.55446318685t100.09.6216.01.551.78377891281.39318384356t120.08.7117.41.392.86383263251.27195073477t140.08.0118.71.277.68433664621.17661480778t160.07.4519.91.182.14735955561.09915320179t180.06.9921.01.101.55446318681.034634213810t200.06.6022.01.031.27195073470.979838343611t220.06.2723.00.981.09915320170.932563428212t240.05.9823.90.930.97983834360.891245885313t260.05.7324.80.890.8912458853

Interpolaciones

60.0100.0120.0x9.893313.40x8.14

*Las curvas no se empalman debido a que son resultado de dos formulas empricas muy distintas. *Algunos de los valores de Intensidad (mm/hr) se obtuvieron por interpolacin.

H. EntradaUNIVERSIDAD NACIONAL DE INGENIERAMEMORIA DE CLCULO REGULACIN DE CUENCA DEL RO CALLAZAS - TACNACODIGO:HH485-GCURSO:PRESAS DE EMBALSE YDERIVACINFACULTAD DE INGENIERA CIVILCuenca hasta Estacin CoranchayFECHA: Junio de 2014Area Total770km2Descripcin de Trabajo: Proceso de Trnsito de AvenidaLongitud total30000mCota Maxima4470m.s.n.m.1. PARMETROS GEOMORFOLGICOSDETERMINACIN DE AREA APROXIMADA PROPORCIONAL A LA LONGITUD DE RIOPROGRESIVAL. CUENCA (m)COTADIF. COTASA. Aprox.AREA (Km2)367.50
Jpachas: Jpachas:Dato sacado de la cuenca delimitada en CAD. Es un dato ms aproximado.ALT.17118.522881.54218252587.29PERIMETRO (Km)99.34
Jpachas: Jpachas:Dato extraido de la topografia proporcionada.ALT.27504.7522495.254225.00245577.38COTA MAX (msnm)4500
Jpachas: Jpachas:Dato extraido de Google earth con cuenca delimitada. Es un dato aproximado.ALT.38000.00220004232.00238564.67COTA MIN (msnm)4238.00
Jpachas: Jpachas:Dato extraido de la topografia de la zona de los posibles ejes. Es un dato ms exacto.ALT.48185.3021814.74238.00232559.91D COTA (m)262Est. Coranchay0+000.0030000LONGITUD CUENCA (Km)24.30
Jpachas: Jpachas:Dato extraido de la topografia proporcionada.PENDIENTE (m/m)0.011

TIEMPO DE CONCENTRACIN4.42hrs265.38min.TIEMPO DE RETARDO (Lag Time)159.23min.

2. HIETOGRAMA DE TORMENTA DE DISEO

DURACIN DE LA TORMENTA:260minINTERVALO DE TIEMPO20minINTENSIDAD DE PRECIPITACIN:5.73mm/hrPERIODO DE RETORNO:1000aosPRECIPITACIN TOTAL:24.8mm

3. HIDROGRAMA DE ENTRADA: SOFTWARE HEC-HMS

NUMERO DE CURVA80.00

TIME- SERIE DATA:TiempoP (mm)0:000.00000:200.93256342820:401.03463421381:001.17661480771:201.39318384351:401.78377891282:002.86383263252:207.68433664622:402.14735955563:001.55446318683:201.27195073473:401.09915320174:000.97983834364:200.8912458853CONTROL DE ESPECIFICACIONES

Da de Inicio6-Jul-2014Hora de Inicio0:00Da final6-Jul-2014Hora de termino18:00
Jpachas: Jpachas:Se considera las 4:20 horas de lluvia ms un extra por el tiempo de retardo.

RESULTADOS

FechaHoraP (mm)Perdidas (mm)P. efectiva(mm)Caudal(m3/s)6-Jul-140:00 06-Jul-140:050.230.23006-Jul-140:100.230.23006-Jul-140:150.230.23006-Jul-140:200.230.23006-Jul-140:250.260.26006-Jul-140:300.260.26006-Jul-140:350.260.26006-Jul-140:400.260.26006-Jul-140:450.30.3006-Jul-140:500.30.3006-Jul-140:550.30.3006-Jul-141:000.290.29006-Jul-141:050.350.35006-Jul-141:100.350.35006-Jul-141:150.350.35006-Jul-141:200.350.35006-Jul-141:250.440.44006-Jul-141:300.440.44006-Jul-141:350.440.44006-Jul-141:400.450.45006-Jul-141:450.720.72006-Jul-141:500.720.72006-Jul-141:550.720.72006-Jul-142:000.710.71006-Jul-142:051.921.92006-Jul-142:101.921.92006-Jul-142:151.921.850.0706-Jul-142:201.921.740.180.16-Jul-142:250.540.470.070.26-Jul-142:300.540.460.080.36-Jul-142:350.540.460.080.56-Jul-142:400.540.450.090.86-Jul-142:450.390.320.071.16-Jul-142:500.390.320.071.46-Jul-142:550.390.310.081.96-Jul-143:000.390.310.082.46-Jul-143:050.320.250.0736-Jul-143:100.320.250.073.76-Jul-143:150.320.250.074.56-Jul-143:200.320.240.075.46-Jul-143:250.280.210.076.46-Jul-143:300.280.210.077.56-Jul-143:350.280.210.078.76-Jul-143:400.280.20.0710.16-Jul-143:450.240.180.0611.66-Jul-143:500.240.180.0713.26-Jul-143:550.240.180.0714.96-Jul-144:000.240.180.0716.76-Jul-144:050.220.160.0618.66-Jul-144:100.220.160.0620.56-Jul-144:150.220.160.0622.56-Jul-144:200.220.160.0724.56-Jul-144:2500026.56-Jul-144:3000028.46-Jul-144:3500030.46-Jul-144:4000032.46-Jul-144:4500034.26-Jul-144:50000366-Jul-144:5500037.86-Jul-145:0000039.46-Jul-145:05000416-Jul-145:1000042.56-Jul-145:1500043.86-Jul-145:20000456-Jul-145:2500046.16-Jul-145:30000476-Jul-145:3500047.86-Jul-145:4000048.56-Jul-145:4500048.96-Jul-145:5000049.26-Jul-145:5500049.46-Jul-146:0000049.46-Jul-146:0500049.26-Jul-146:1000048.86-Jul-146:1500048.36-Jul-146:2000047.76-Jul-146:2500046.96-Jul-146:30000466-Jul-146:35000456-Jul-146:4000043.96-Jul-146:4500042.76-Jul-146:5000041.56-Jul-146:5500040.26-Jul-147:0000038.96-Jul-147:0500037.66-Jul-147:1000036.26-Jul-147:1500034.96-Jul-147:2000033.56-Jul-147:2500032.16-Jul-147:3000030.86-Jul-147:3500029.56-Jul-147:4000028.26-Jul-147:4500026.96-Jul-147:5000025.76-Jul-147:5500024.46-Jul-148:0000023.36-Jul-148:0500022.16-Jul-148:10000216-Jul-148:1500019.96-Jul-148:2000018.96-Jul-148:2500017.96-Jul-148:30000176-Jul-148:3500016.16-Jul-148:4000015.36-Jul-148:4500014.56-Jul-148:5000013.86-Jul-148:5500013.16-Jul-149:0000012.56-Jul-149:0500011.96-Jul-149:1000011.36-Jul-149:1500010.86-Jul-149:2000010.26-Jul-149:250009.76-Jul-149:300009.36-Jul-149:350008.86-Jul-149:400008.46-Jul-149:4500086-Jul-149:500007.66-Jul-149:550007.26-Jul-1410:000006.96-Jul-1410:050006.56-Jul-1410:100006.26-Jul-1410:150005.96-Jul-1410:200005.66-Jul-1410:250005.36-Jul-1410:300005.16-Jul-1410:350004.86-Jul-1410:400004.66-Jul-1410:450004.46-Jul-1410:500004.16-Jul-1410:550003.96-Jul-1411:000003.76-Jul-1411:050003.66-Jul-1411:100003.46-Jul-1411:150003.26-Jul-1411:200003.16-Jul-1411:250002.96-Jul-1411:300002.86-Jul-1411:350002.66-Jul-1411:400002.56-Jul-1411:450002.46-Jul-1411:500002.36-Jul-1411:550002.16-Jul-1412:0000026-Jul-1412:050001.96-Jul-1412:100001.86-Jul-1412:150001.86-Jul-1412:200001.76-Jul-1412:250001.66-Jul-1412:300001.56-Jul-1412:350001.46-Jul-1412:400001.46-Jul-1412:450001.36-Jul-1412:500001.26-Jul-1412:550001.26-Jul-1413:000001.16-Jul-1413:050001.16-Jul-1413:1000016-Jul-1413:1500016-Jul-1413:200000.96-Jul-1413:250000.96-Jul-1413:300000.86-Jul-1413:350000.86-Jul-1413:400000.86-Jul-1413:450000.76-Jul-1413:500000.76-Jul-1413:550000.76-Jul-1414:000000.66-Jul-1414:050000.66-Jul-1414:100000.66-Jul-1414:150000.56-Jul-1414:200000.56-Jul-1414:250000.56-Jul-1414:300000.56-Jul-1414:350000.46-Jul-1414:400000.46-Jul-1414:450000.46-Jul-1414:500000.46-Jul-1414:550000.46-Jul-1415:000000.36-Jul-1415:050000.36-Jul-1415:100000.36-Jul-1415:150000.36-Jul-1415:200000.36-Jul-1415:250000.26-Jul-1415:300000.26-Jul-1415:350000.26-Jul-1415:400000.26-Jul-1415:450000.26-Jul-1415:500000.26-Jul-1415:550000.16-Jul-1416:000000.16-Jul-1416:050000.16-Jul-1416:100000.16-Jul-1416:150000.16-Jul-1416:200000.16-Jul-1416:250000.16-Jul-1416:300000.16-Jul-1416:350000.16-Jul-1416:4000006-Jul-1416:4500006-Jul-1416:5000006-Jul-1416:5500006-Jul-1417:0000006-Jul-1417:0500006-Jul-1417:1000006-Jul-1417:1500006-Jul-1417:2000006-Jul-1417:2500006-Jul-1417:3000006-Jul-1417:3500006-Jul-1417:4000006-Jul-1417:4500006-Jul-1417:5000006-Jul-1417:5500006-Jul-1418:000000

H.SalidaUNIVERSIDAD NACIONAL DE INGENIERAMEMORIA DE CLCULO REGULACIN DE CUENCA DEL RO CALLAZAS - TACNACODIGO:HH485-GCURSO:PRESAS DE EMBALSE YDERIVACINFACULTAD DE INGENIERA CIVILFECHA: Junio de 2014Descripcin de Trabajo: Trnsito de Avenidas en Embalse nivelado

1. DATOS DE ENTRADA DE VERTEDEROAlturavolumen51.3213.38Longitud de la cresta:40.00m50.0012.16Coeficiente de descarga:2.0052.0014.01Calculo de caudal de salida:Interpolacin de 50 a 52:54.0016.04y=0.926*X-34.142x es la AlturaIntervalo de tiempo:5min300.00Interpolacin de 52 a 54:IntervaloPendiente (Dvol/Dalt)y=1.015*X-38.7750-520.9352-541.01QH2. GRAFICA CAUDAL DE SALIDA VS. ALMACENAMIENTO0.0002.530.1ElevacinH (m)CaudalQ (m3/s)AlmacenamientoS (MMC)(2S/t)+Q(m3/s)7.160.2Q iQ i+1Pendiente H iH i+1Pendiente51.3200.00.000.013.150.351.520.207.20.191242.120.240.40.007.20.005851.720.4020.20.372490.128.280.57.1620.20.010551.920.6037.20.563742.037.180.620.2437.20.013552.120.8057.20.755067.646.850.737.1857.20.015152.321.0080.00.956443.657.240.857.2480.00.016568.310.980.00192.301.1105.161.2118.581.3132.521.4146.971.5161.911.6177.321.7193.201.8

3. CALCULO DEL HIDROGRAMA DE SALIDA

TiempojTiempo(min)Caudal de entrada (I)(m3/s)I(j) + I(j+1)(m3/s)2S(j)/t-Q(j)(m3/s)2S(j+1)/t+Q(j+1)(m3/s)Caudal deSalida (Qs) (m3/s)Altura de vertedero (H) (m)Cota deCargaVert. (m)Volumen Aven(MMC)2:15000.02:2050.10.10.10.10.00.0051.320.002:25100.20.30.40.40.00.0051.320.002:30150.30.50.90.90.00.0051.320.002:35200.50.81.71.70.00.0051.320.002:40250.81.32.93.00.00.0051.320.002:45301.11.94.84.80.00.0051.320.002:50351.42.57.27.30.00.0151.330.012:55401.93.310.410.50.10.0151.330.013:00452.44.314.514.70.10.0151.330.013:055035.419.719.90.10.0151.330.013:10553.76.726.126.40.20.0251.330.013:15604.58.233.934.30.20.0251.340.023:20655.49.943.343.80.30.0251.340.023:25706.411.854.455.10.30.0351.340.023:30757.513.967.568.30.40.0351.350.033:35808.716.282.883.70.50.0351.350.033:408510.118.8100.4101.60.60.0451.360.033:459011.621.7120.7122.10.70.0451.360.043:509513.224.8143.8145.50.80.0551.370.043:5510014.928.1169.9171.91.00.0551.370.054:0010516.731.6199.2201.51.20.0651.380.064:0511018.635.3231.8234.51.40.0751.390.064:1011520.539.1267.8270.91.60.0751.390.074:1512022.543307.2310.81.80.0851.400.074:2012524.547350.1354.22.00.0951.410.084:2513026.551396.5401.12.30.0951.410.094:3013528.454.9446.2451.42.60.1051.420.094:3514030.458.8499.2505.02.90.1151.430.104:4014532.462.8555.5562.03.20.1251.440.114:4515034.266.6615.0622.13.60.1351.450.124:501553670.2677.3685.23.90.1351.450.124:5516037.873.8742.4751.14.30.1451.460.135:0016539.477.2810.2819.64.70.1551.470.145:051704180.4880.3890.65.10.1651.480.155:1017542.583.5952.7963.85.60.1751.490.165:1518043.886.31027.01039.06.00.1851.500.165:201854588.81103.01115.86.40.1951.510.175:2519046.191.11180.31194.16.90.1951.510.185:301954793.11258.41273.47.50.2151.530.195:3520047.894.81336.61353.28.30.2251.540.205:4020548.596.31414.61432.99.20.2451.560.225:4521048.997.41492.01512.010.00.2551.570.235:5021549.298.11568.51590.110.80.2651.580.245:5522049.498.61643.91667.111.60.2851.600.266:0022549.498.81717.91742.712.40.2951.610.276:0523049.298.61790.11816.513.20.3051.620.286:1023548.8981860.31888.113.90.3151.630.296:1524048.397.11928.11957.414.70.3251.640.306:2024547.7961993.42024.115.40.3351.650.316:2525046.994.62055.92088.016.00.3451.660.326:302554692.92115.52148.816.70.3551.670.336:3526045912172.02206.517.30.3651.680.336:4026543.988.92225.22260.917.80.3751.690.346:4527042.786.62275.12311.818.40.3751.690.356:5027541.584.22321.52359.318.90.3851.700.356:5528040.281.72364.62403.219.30.3951.710.367:0028538.979.12404.22443.719.80.3951.710.367:0529037.676.52440.42480.720.10.4051.720.377:1029536.273.82473.12514.220.60.4051.720.377:1530034.971.12502.22544.221.00.4151.730.387:2030533.568.42528.02570.621.30.4151.730.387:2531032.165.62550.32593.621.60.4251.740.397:3031530.862.92569.42613.221.90.4251.740.397:3532029.560.32585.42629.722.10.4251.740.397:4032528.257.72598.52643.122.30.4351.750.407:4533026.955.12608.72653.622.50.4351.750.407:5033525.752.62616.22661.322.60.4351.750.407:5534024.450.12621.02666.322.60.4351.750.408:0034523.347.72623.42668.722.70.4351.750.408:0535022.145.42623.52668.822.70.4351.750.408:103552143.12621.42666.622.60.4351.750.408:1536019.940.92617.12662.322.60.4351.750.408:2036518.938.82610.92655.922.50.4351.750.408:2537017.936.82603.02647.722.40.4351.750.408:303751734.92593.42637.922.20.4351.750.398:3538016.133.12582.42626.522.10.4251.740.398:4038515.331.42569.92613.821.90.4251.740.398:4539014.529.82556.32599.721.70.4251.740.398:5039513.828.32541.62584.621.50.4251.740.398:5540013.126.92525.92568.521.30.4151.730.389:0040512.525.62509.32551.521.10.4151.730.389:0541011.924.42492.12533.720.80.4151.730.389:1041511.323.22474.12515.320.60.4051.720.379:1542010.822.12455.62496.220.30.4051.720.379:2042510.2212436.42476.620.10.4051.720.379:254309.719.92416.52456.319.90.4051.710.379:304359.3192396.22435.519.70.3951.710.369:354408.818.12375.42414.319.40.3951.710.369:404458.417.22354.12392.619.20.3951.710.369:45450816.42332.62370.519.00.3851.700.369:504557.615.62310.72348.218.80.3851.700.359:554607.214.82288.42325.518.50.3851.700.3510:004656.914.12266.02302.518.30.3751.690.3510:054706.513.42243.32279.418.00.3751.690.3410:104756.212.72220.52256.017.80.3751.690.3410:154805.912.12197.52232.617.50.3651.680.3410:204855.611.52174.42209.017.30.3651.680.3310:254905.310.92151.22185.317.00.3651.680.3310:304955.110.42128.02161.616.80.3551.670.3310:355004.89.92104.82137.916.50.3551.670.3210:405054.69.42081.62114.216.30.3551.670.3210:455104.492058.52090.616.10.3451.660.3210:505154.18.52035.42067.015.80.3451.660.3110:555203.982012.32043.415.60.3451.660.3111:005253.77.61989.32019.915.30.3351.650.3111:055303.67.31966.51996.615.10.3351.650.3011:105353.471943.81973.514.80.3351.640.3011:155403.26.61921.31950.414.60.3251.640.3011:205453.16.31898.91927.614.30.3251.640.2911:255502.961876.71904.914.10.3151.630.2911:305552.85.71854.61882.413.90.3151.630.2911:355602.65.41832.81860.013.60.3151.630.2811:405652.55.11811.11837.913.40.3051.620.2811:455702.44.91789.61816.013.20.3051.620.2811:505752.34.71768.41794.312.90.3051.620.2811:555802.14.41747.41772.812.70.2951.610.2712:0058524.11726.51751.512.50.2951.610.2712:055901.93.91705.91730.412.30.2951.610.2712:105951.83.71685.41709.612.10.2851.600.2612:156001.83.61665.41689.011.80.2851.600.2612:206051.73.51645.61668.911.60.2851.600.2612:256101.63.31626.11648.911.40.2751.590.2512:306151.53.11606.71629.211.20.2751.590.2512:356201.42.91587.61609.611.00.2751.590.2512:406251.42.81568.81590.410.80.2651.580.2412:456301.32.71550.31571.510.60.2651.580.2412:506351.22.51532.01552.810.40.2651.580.2412:556401.22.41513.91534.410.20.2551.570.2313:006451.12.31496.21516.210.00.2551.570.2313:056501.12.21478.71498.49.80.2551.570.2313:1065512.11461.51480.89.70.2451.560.2313:15660121444.51463.59.50.2451.560.2213:206650.91.91427.81446.49.30.2451.560.2213:256700.91.81411.41429.69.10.2451.550.2213:306750.81.71395.21413.18.90.2351.550.2213:356800.81.61379.21396.88.80.2351.550.2113:406850.81.61363.61380.88.60.2351.550.2113:456900.71.51348.21365.18.40.2251.540.2113:506950.71.41333.01349.68.30.2251.540.2013:557000.71.41318.21334.48.10.2251.540.2014:007050.61.31303.61319.58.00.2151.530.2014:057100.61.21289.11304.87.80.2151.530.2014:107150.61.21275.01290.37.70.2151.530.1914:157200.51.11261.11276.17.50.2151.530.1914:207250.511247.41262.17.40.2051.520.1914:257300.511233.91248.47.20.2051.520.1914:307350.511220.71234.97.10.2051.520.1814:357400.40.91207.51221.67.00.2051.520.1814:407450.40.81194.41208.37.00.2051.520.1814:457500.40.81181.41195.26.90.1951.510.1814:507550.40.81168.61182.26.80.1951.510.1814:557600.40.81155.91169.46.70.1951.510.1815:007650.30.71143.31156.66.70.1951.510.1815:057700.30.61130.71143.96.60.1951.510.1815:107750.30.61118.31131.36.50.1951.510.1715:157800.30.61106.01118.96.40.1951.510.1715:207850.30.61093.81106.66.40.1951.500.1715:257900.20.51081.71094.36.30.1851.500.1715:307950.20.41069.71082.16.20.1851.500.1715:358000.20.41057.71070.16.20.1851.500.1715:408050.20.41046.01058.16.10.1851.500.1715:458100.20.41034.31046.46.00.1851.500.1715:508150.20.41022.81034.76.00.1851.500.1615:558200.10.31011.31023.15.90.1851.500.1616:008250.10.2999.81011.55.80.1751.490.1616:058300.10.2988.51000.05.80.1751.490.1616:108350.10.2977.3988.75.70.1751.490.1616:158400.10.2966.3977.55.60.1751.490.1616:208450.10.2955.3966.55.60.1751.490.1616:258500.10.2944.5955.55.50.1751.490.1616:308550.10.2933.8944.75.40.1751.490.1516:358600.10.2923.3934.05.40.1751.480.1516:4086500.1912.7923.45.30.1651.480.1516:4586600902.2912.75.30.1651.480.1516:5086700891.8902.25.20.1651.480.1516:5586800881.5891.85.10.1651.480.1517:0086900871.4881.55.10.1651.480.1517:0587000861.3871.45.00.1651.480.1517:1087100851.4861.35.00.1651.480.1517:1587200841.6851.44.90.1651.470.1417:2087300831.9841.64.80.1551.470.1417:2587400822.3831.94.80.1551.470.1417:3087500812.9822.34.70.1551.470.1417:3587600803.5812.94.70.1551.470.1417:4087700794.2803.54.60.1551.470.1417:4587800785.1794.24.60.1551.470.1417:5087900776.0785.14.50.1551.470.1417:5588000767.1776.04.50.1551.470.1418:0088100758.3767.14.40.1551.460.1322.70.4351.750.404. RESULTADOS DEL TRANSITO

Qmax entrada:49.40m3/sQmax salida:22.66m3/sPorc. Reduccin del caudal:54%VOLUMEN Aven:0.40MMCH carga sobre vert:0.43m

=^(3/2)

A.EstabilidadUNIVERSIDAD NACIONAL DE INGENIERAMEMORIA DE CLCULO REGULACIN DE CUENCA DEL RO CALLAZAS - TACNACODIGO:HH485-GCURSO:PRESAS DE EMBALSE YDERIVACINFACULTAD DE INGENIERA CIVILFECHA: Julio de 2014Descripcin de Trabajo: Anlisis de Estabilidad de Presa

1. DISEO GEOMETRICO GLOBAL PROPUESTOAltura total de Presa:51.50mAltura total de Presa:51.50mNmero de Tramos5Nmero de Tramos5.00Talud de Parapento aguas arriba:2H:20VHTalud de Parapento aguas arriba:2H20VAngulo de Talud aguas arriba (1):1.47radAngulo de Talud aguas arriba (1):1.47radTalud 1 de parapento aguas abajo:5H:10VHTalud 1 de parapento aguas abajo:5H10VAngulo de Talud aguas abajo (2.1):1.11radAngulo de Talud aguas abajo (2.1):1.11radTalud 2 de parapento aguas abajo:7H:10VHTalud 2 de parapento aguas abajo:7H10VAngulo de Talud aguas abajo (2.2):0.96radAngulo de Talud aguas abajo (2.2):0.96radPeso especfico de concreto:2.40ton/m3Peso especfico de concreto:2.40ton/m3Peso especfico del agua:1.000ton/m3Peso especfico del agua:1.000ton/m3

2. ANLISIS DE ESTABILIDAD POR TRAMOS

2.1. TRAMO1

Altura:10.30mBase A:1.03mBase aguas arribaBase B:12.00mBase mediaBase C:4.17mBase aguas abajoBase Total:17.20m

Area A:5.30m2Area B:123.60m2Area C:21.48m2Area Total:150.38m2

CONDICIN DE EMBALSE VACO

PesoW=360.91ton (+)=26.39ton/m2C. Presin=9.34mOK (-)=15.58ton/m2Excentricidad:e=0.74mMomento de Inercia:I=424.04m4

Esfuerzos NormalesTaln=26.39ton/m2Punta=15.58ton/m2

Esfuerzos Paralelos al ParamentoTaln=26.65ton/m2OKPunta=19.47ton/m2OK

CONDICIN DE EMBALSE LLENO

Fuerza Hidrosttica horizontalHh=53.05tonFuerza Hidrosttica Vertical:Hv=5.30tonFuerza de Sub-Presin:U=88.58ton

Momento actuante (Ma):Ma=1197.84ton.mMomento resistente (Mr):Mr=3459.76ton.m

COEFICIENTE DE SEGURIDAD AL VOLTEO:2.89OK

Esfuerzo cortante entre bloques:=3.084ton/m2OK

Fuerza de Friccin:Ff=180.46ton

COEFICIENTE DE SEGURIDAD AL DESLIZAMIENTO:3.40OK

Componente vertical de la Fuerza Resultante:Rv=277.64ton (+)=18.69ton/m2C. Presin=8.15mOK (-)=13.59ton/m2Excentricidad:e=0.45mMomento de Inercia:I=424.04m4



2.2. TRAMO 22

Altura:20.60mBase A:2.06mBase aguas arribaBase B:12.00mBase mediaBase C:8.33mBase aguas abajoBase Total:22.39m

Area A:21.22m2Area B:247.20m2Area C:85.80m2Area Total:354.22m2















2.3. TRAMO 33

Altura:30.90mBase A:3.09mBase aguas arribaBase B:12.00mBase mediaBase C:8.33mBase 1 aguas abajoBase D:7.90mBase 2 aguas abajoBase Total:31.32m

Area A:47.74m2Area B:370.80m2Area C:171.60m2Area D:40.69m2Area Total:630.82m2

CONDICIN DE EMBALSE VACOAREAXA*XPesoW=1513.98ton (+)=80.12ton/m2A147.74129.261396.88703C. Presin=19.09mOK (-)=16.56ton/m2A2370.80022.238242.884Excentricidad:e=3.43mA3171.59812.75916666672189.4474816667Momento de Inercia:I=2560.26m4A440.6855.2666666667214.2743333333630.82412043.492845Esfuerzos NormalesTaln=80.12ton/m2Punta=16.56ton/m2X19.0916997306B/215.66Esfuerzos Paralelos al ParamentoTaln=80.92ton/m2OKPunta=24.67ton/m2OK











2.4. TRAMO 44



CONDICIN DE EMBALSE VACOAREAXA*XPesoW=2398.33ton (+)=103.49ton/m2A142.43637.49333333331591.0670933333C. Presin=25.06mOK (-)=15.71ton/m2A2412.00030.1212409.44Excentricidad:e=4.94mA3254.61620.64916666675257.60822Momento de Inercia:I=5429.91m4A4148.52610.52666666671563.4836933333857.57820821.5990066667Esfuerzos NormalesTaln=103.49ton/m2Punta=15.71ton/m2X24.2795395948B/220.12Esfuerzos Paralelos al ParamentoTaln=104.52ton/m2OKPunta=23.41ton/m2OK




COEFICIENTE DE SEGURIDAD AL VOLTEO:1.87



COEFICIENTE DE SEGURIDAD AL DESLIZAMIENTO:1.30




2.5. TRAMO 45










COEFICIENTE DE SEGURIDAD AL VOLTEO:1.78



COEFICIENTE DE SEGURIDAD AL DESLIZAMIENTO:1.16




3. RESUMEN DE RESULTADOS

Relacin de Esbeltez:0.95mAncho de corona:12.00mAncho de base:49.17mAltura:51.50m

4. VERIFICACIN DE ESFUERZOS PERSMISIBLES

Esfuerzos en Paramento InternoEsfuerzos en Paramento ExternoVaso VacoVaso lleno a elevacin4289.32Vaso VacoVaso lleno a elevacin4289.32EsfuerzoVerticalEsfuerzo paralelo alparamentoEsfuerzoVerticalEsfuerzo paralelo alparamentoElevacin de base de bloqueEsfuerzoVerticalEsfuerzo paralelo alparamentoEsfuerzoVerticalEsfuerzo paralelo alparamentoElevacin de corona4289.32Elevacin de corona26.3926.6513.5913.734279.0215.5819.4718.6923.3752.3152.8317.8918.074268.7223.6329.5339.3449.1880.1280.9224.9425.194258.4216.5624.6743.8965.40103.49104.5227.1027.374248.1215.7123.4155.1282.13125.64126.9027.8728.154237.8216.8725.1368.53102.12

Esfuerzo mximo sobre el suelo (Arenisca):126.90ton/m2Esfuerzo mximo de compresin al concreto:126.90ton/m2Esfuerzo mximo permisible de compresion al concreto:421.80ton/m2Esfuerzo mximo permisible de compresion al suelo:281.00ton/m2

* Para un suelo que presenta areniscas (Esfuerzo permisible=400lb/pulg2=281tn/m2), el esfuerzo provocado por la presa es menor, por lo que el suelo soporta la carga transmitida.

No hay esfuerzos de Traccion. Cae sobre el tercio central.No hay esfuerzos de Traccion. Cae sobre el tercio central.No hay esfuerzos de Traccion. Cae sobre el tercio central.No hay esfuerzos de Traccion. Cae sobre el tercio central.No hay esfuerzos de Traccion. Cae sobre el tercio central.No hay esfuerzos de Traccion. Cae sobre el tercio central.No hay esfuerzos de Traccion. Cae sobre el tercio central.No hay esfuerzos de Traccion. Cae sobre el tercio central.No hay esfuerzos de Traccion. Cae sobre el tercio central.No hay esfuerzos de Traccion. Cae sobre el tercio central.Observaciones:

- Se cumple que las fuerzas resultantes en cada bloque analizado cruza por el medio central de su base.

- Ninguno de los esfuerzos producidos en las zonas crticas supera el mximo permitido para el concreto (421.8 ton/m2).

- Los factores de seguridad en todos los casos superan la unidad, por lo que el diseo es correcto.

Result. FinalesUNIVERSIDAD NACIONAL DE INGENIERAMEMORIA DE CLCULO REGULACIN DE CUENCA DEL RO CALLAZAS - TACNACODIGO:HH485-GCURSO:PRESAS DE EMBALSE YDERIVACINFACULTAD DE INGENIERA CIVILFECHA: Junio de 2014Descripcin de Trabajo: Resumen de volumenes y cotas

1. RESUMEN DE VOLUMES DE EMBALSE

VOLUMENMAGNITUDUNIDADVolumen Muerto0.70MMCVolumen Util12.68MMCVolumen de Avenida (Evacuacin)0.40MMCVolumen de Operacin13.38MMCInterpolacin de 50 a 52:y=0.926*X-34.142x es la Altura2. RESUMEN DE NIVELES DE AGUAInterpolacin de 52 a 54:

NIVELMAGNITUDUNIDADy=1.015*X-38.77COTA BASE4238.00msnmNAMIN4261.15msnmNAMO4289.32msnmNAME4289.75msnm

2. RESUMEN DE ALTURAS DE INTERS

NIVELMAGNITUDUNIDADAltura de Cresta51.32mAltura de Vertedero0.43mBorde Libre2.00mALTURA TOTAL DE PRESA53.75m

calculos

Documents