Prob 1Prob N 1A partir del registro del pluviograma realizar el anlisis de la tormenta y obtener:a) El hietogramab) Las intensidades mximas para: 10 min, 30 min, 60 min, 90 min y 240 min.

a) HietogramaHoraIntervalode tiempo(min)Tiempo acumulado(min)Precipitacinparcial(mm)Precipitacinacumulada(mm)Intensidad(mm/h)Tiempo acumulado(min)Intensidad(mm/h)41201.5120120331.51202.561202120240582.51200.586061203604122604106041204801130.56061260460540619660613120560600423412021412016066042741560720633616607804374176084064361812096010535221201080457224120120025912b) Las intensidades mximas para: 10 min, 30 min, 60 min, 90 min y 240 min.De la Tabla,Intensidad mxima (mm/h) :6Duracin (min) :I10 =6 mm/hI30 =6 mm/hI60 =6 mm/hI90 =5.333 mm/hI120 =5 mm/hI240 =5 mm/hDuracin (min) 10306090120240Intensidad mx(mm/h)

Duracin (min)Precipitacin (mm)

Prob 2Prob N 2Para una tormenta se obtuvo la informacin del pluvigrafo segn el cuadro adjunto, graficar:Hietogramas de altura de precipitaciones para duraciones de : 2, 4, 6 y 12 horas.

Tiempo acumulado(hr)Precipitacinacumulada(mm)00254861882910361239SolucinAltura de precipitacin para diferentes duracionesTiempo acumulado(hr)Precipitacinacumulada(mm)t = 2 hrt = 4 hrt = 6 hrt = 12 hr002554838618101882911211036712393102139Hietograma para t = 2hTiempo acumulado(hr)I (mm)t = 2 hr2543610811107123Hietograma para t = 4hTiempo acumulado(hr)I (mm)t = 4 hr488211210

Hietograma para t = 6hTiempo acumulado(hr)I (mm)t = 6 hr6181221

Hietograma para t = 12hTiempo acumulado(hr)I (mm)t = 12 hr1239

0 6 120 4 8 120 2 4 6 8 10 12

Prob 3Prob N 3De una estacin meteorolgica se tiene los valores de intensidades mximas para: 10 min, 30 min, 60 min, 90 min y 240 min, de una serie de datos de 12 aos , se requiere:a) Determinar la frecuencia y Periodo de retorno para la serie dadab) Hallar las ecuaciones y graficar las curvas de intensidad-duracin-periodo de retorno para 10, 5 y 2 aos .c) Hallar la intensidad mxima para una duracin de 45 minutos con 10 aos de periodo de retorno, en forma grfica y aplicando la ecuacin de la curva con el T indicado.

DatosAo10'30'60'120'240'1996808164421819971057050331619989161422920199962200020012002200320042005200620072008807245321120096158362814201011590705023201163644725182012110755538212013815132191020147778613915a) Determinar la frecuencia y Periodo de retorno para la serie dadaOrdenar la serie de datos en forma decreciente e independiente del tiempoFT10'30'60'120'240'F = m/(n+1)probabilidad de q ocurra la tormenta10.0813.001159070503020.156.5010281644223T = (n+1)/mPeriodo en el que se repite una tormenta con las mismas caracteristicas30.234.33997861392140.313.25887555382050.382.60857250341860.462.17837048331870.541.86816847321680.621.63816647311590.691.448064452914100.771.307661422814110.851.186658362511120.921.086151321910

n=12b) Hallar ecuaciones y graficar curvas IDT para T= 10, 5 y 2 aosInterpolamos los valoresT10306012024013.00115.0090.0070.0050.0030.0010109866746276.50102.0081.0064.0042.0023.0051004.3399.0078.0061.0039.0021.003.2588.0075.0055.0038.0020.002.6085.0072.0050.0034.0018.002.1783.0070.0048.0033.0018.00282694732171.8681.0068.0047.0032.0016.001.6381.0066.0047.0031.0015.001.4480.0064.0045.0029.0014.001.3076.0061.0042.0028.0014.001.1866.0058.0036.0025.0011.001.0861.0051.0032.0019.0010.00c) Hallar la intensidad mxima para una duracin de 45 minutos y T = 10 aos, en forma grfica y mediante la ecuacin obtenidaDel grfico:I=mm/hAplicando la ecuacin:I=mm/h

Hoja1Prob N 6Del siguiente registro de datos pluvimetricos de la estacin hidrometereolgica La Oroya (Junn, Per) correspondiente a 59 aos, determinar:a) La precipitacin media mensual de cada mes del ao.b) La precipitacin anual.c) La precipitacin media anual. d) Para (c), indicar la diferencia de valores extremos y la desviacin estndar.AOJanFebMarAprMayJunJulAugSepOctNovDecAcumulado o Precipitacin AnualPromedio o Precipitacin media anual193698.3068.6030.707.4046.705.8013.2036.6038.1026.4030.5026.40428.7035.73193785.1066.3036.3051.105.302.301.0017.5052.6071.1029.7059.40477.7039.81193889.90120.7036.6034.009.4022.401.000.0015.5043.9021.8034.00429.2035.77193984.3095.00105.9021.6043.9010.9017.8017.5050.8029.0034.0075.70586.4048.871940111.3053.1071.6081.1031.900.004.8014.6053.2050.3049.5052.90574.3047.861941178.20137.6050.20129.7068.8015.3010.605.4055.1075.8065.80101.50894.0074.501942143.70116.8083.2062.8033.6032.602.3026.5048.7060.6051.00118.70780.5065.041943114.70135.60180.8020.7013.3041.1013.105.2054.0025.7064.10125.60793.9066.161944181.2067.6066.2041.5052.103.200.603.5014.2057.2052.6080.50620.4051.701945119.90109.4099.4010.002.000.8010.205.4037.5017.7086.0090.70589.0049.08194679.10122.10105.6056.0031.8020.3011.2018.2037.4048.00127.5084.60741.8061.82194756.6069.8048.8041.5026.9016.204.702.2019.7013.2042.4033.60375.6031.30194884.3084.0066.2050.7085.3016.7020.600.8049.3093.5057.1013.10621.6051.80194970.9058.80108.8029.608.8059.2016.8021.9016.6073.9016.9079.40561.6046.801950118.1095.40114.1040.6013.701.5013.904.6033.7044.1068.20119.20667.1055.59195199.20120.8095.4036.0021.6016.900.0019.3017.3055.2085.60100.10667.4055.621952109.1090.00102.5050.7012.1012.6015.8012.8072.0026.5094.2047.60645.9053.83195387.10112.40109.0043.6017.4011.706.7032.5030.1054.4090.6060.70656.2054.68195480.9077.4099.5046.8018.4010.208.407.7018.5075.2048.80123.90615.7051.31195576.4088.8091.4014.3054.508.205.504.9034.6028.3021.7067.70496.3041.36195684.3079.60115.5019.8056.207.3023.3012.2037.2029.9039.6023.40528.3044.03195762.10155.4033.5038.3020.5012.700.4024.0038.8048.6020.4053.40508.1042.34195889.7085.4098.7031.2027.704.1019.902.8021.3057.7038.7065.30542.5045.21195992.2091.20105.8038.6033.9028.401.4021.7035.4054.4012.50117.30632.8052.731960111.30113.4041.5042.2028.800.4012.0038.8040.2066.30103.0032.90630.8052.571961126.8068.90114.9083.5050.300.900.9014.7047.0045.3075.00133.50761.7063.48196284.3044.4088.3061.708.702.400.1013.2018.5024.1040.30123.10509.1042.43196399.4067.3067.7078.106.701.900.709.7085.4045.1051.6047.70561.3046.78196457.3074.70119.1024.9048.100.007.9016.1045.6095.4088.8036.70614.6051.22196582.4076.6089.7024.507.701.9023.809.8051.4052.7028.4062.10511.0042.58196689.3041.8076.5024.5048.000.201.909.0031.4079.8060.0088.00550.4045.87196737.30167.50141.1023.3034.807.7028.1041.4015.1096.9044.6071.70709.5059.13196899.40101.20173.2024.7013.0035.7011.4069.4012.2047.1073.00111.10771.4064.28196957.00107.1053.4057.5012.7012.7015.7024.7068.4049.6059.3083.60601.7050.141970150.30109.0074.2050.7029.408.007.501.3050.6063.0035.7088.90668.6055.72197168.7085.6074.4039.4014.809.104.2038.3021.2085.8032.3081.70555.5046.29197258.3030.10124.8070.508.300.2011.709.9048.7066.1034.0058.40521.0043.42197362.80101.50140.2088.2015.1015.4018.8037.3056.8079.4045.30151.30812.1067.68197499.70104.0080.8042.400.7023.500.9031.906.4027.9024.8030.70473.7039.48197560.0095.9089.9023.5051.307.005.1024.5041.3045.0085.2085.20613.9051.161976120.10101.7064.7024.0025.9031.909.7017.7092.5011.3027.7027.70554.9046.24197777.3068.5060.1028.5031.200.9028.802.0024.0017.30147.4086.10572.1047.681978119.60112.4048.6029.2028.3011.0011.6011.7055.5049.3066.8053.60597.6049.80197950.0078.90110.5058.7020.200.302.608.4015.2053.6047.3051.60497.3041.44198085.1099.6053.8018.8027.307.0019.6017.1017.9064.3060.1062.90533.5044.46198175.60139.1075.7016.604.702.500.0056.5033.7095.30136.1090.80726.6060.551982113.90122.6079.0054.903.4017.001.4016.0057.4089.80128.00102.70786.1065.51198382.3038.4076.1032.603.0046.504.7022.9044.5041.4013.8058.00464.2038.681984102.20115.4056.3063.809.1032.806.6016.5011.3056.9053.0072.50596.4049.70198591.3072.9086.9059.205.5035.9010.906.5047.5033.0052.70103.20605.5050.461986115.6099.20158.1087.6041.800.0010.9034.4054.2028.2020.8063.80714.6059.551987121.2075.8040.5020.1021.1012.4032.8024.3037.1033.80104.10110.10633.3052.781988114.6086.2050.8063.108.400.000.000.0026.6031.2042.4083.90507.2042.27198999.8082.7091.0041.1010.3011.101.0047.6038.4048.0070.1056.50597.6049.801990150.5042.3037.5027.4030.4094.5015.4027.6031.00112.3079.5067.90716.3059.69199132.0040.5070.7022.6032.5033.500.400.0075.9037.6038.2062.00445.9037.16199237.3045.1024.5019.200.0019.508.3034.308.6061.3034.7048.10340.9028.41199362.4076.2084.2018.4029.1021.7011.7018.5040.8068.10126.60118.10675.8056.32199495.40113.0079.7079.1019.701.903.401.5048.9046.0036.3077.90602.8050.23199593.4076.8099.0047.005.700.0016.401.9016.3040.1054.9078.40529.9044.16PRECIPITACIN MEDIA MENSUAL DE CADA MES DEL AO93.0189.6484.2242.8224.5314.469.5017.8938.3252.4857.8575.29DESV. ESTAND30.7629.4734.2523.5218.4017.008.2014.8819.1423.0632.2431.07MXIMO181.20167.50180.80129.7085.3094.5032.8069.4092.50112.30147.40151.30MNIMO32.0030.1024.507.400.000.000.000.006.4011.3012.5013.10 VALORES EXTREMOS149.20137.40156.30122.3085.3094.5032.8069.4086.10101.00134.90138.20