Trabajo Hidro

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Tabla: Resumen de intensidades máximas de lluvia en mm/hr Año 5 10 15 20 30 40 60 0 100 120 1!56 120"0 1"5 54" 41"# 36"0 34" 25"# 21"5 1"2 16" 1!5# 4"0 51"0 36"0 2" 20"4 16"1 12"# 12"3 10"! !"5 1!5 116"4 56"2 40"4 30"3 23"4 20"# 16"5 13"# 11"6 10"1 1!5! 240"0 162"0 12"0 111"0 4"0 6#"5 4"1 3"0 32"2 2#"6 1!60 122"4 6!"0 52"0 42"6 31"4 30"0 23"0 1"0 1#"3 15"5 1!61 4"0 30"0 25"6 21"! 1"2 15"6 13"! 11" 11"# 10"3 1!62 120"0 120"0 4"0 62" 60"0 40"! 32"# 24"5 1!"6 16"4 1!63 116"4 5"2 51"6 44"# 36"4 2!"0 1!"3 14"5 11"6 10"1 1!64 36"0 2#"0 26"0 24"0 16"6 12" !"5 "1 #"1 6"3 1!65 #"0 55"2 4"0 4"0 41" 34"2 2!"5 22"! 1"# 15"! 1!66 #"0 60"0 52"0 4#"4 46"0 40"5 2!"2 22"! 1"# 16"3 1!6# 54"0 45"0 34"0 2"5 23"4 1" 14"0 11"6 11"6 10"6 1!6 4"0 4"0 32"0 24"0 16"0 12"0 "0 6"0 5"3 4"# 1!6! 54"0 54"0 45"2 41"# 31" 25"1 1#" 13"4 12"0 10"0 1!#0 120"0 4"0 #2"0 5#"6 41"0 31"1 22"5 1#"0 13"# 12"0 $ orden T 5 10 15 20 30 40 60 0 100 1 16"0 240"0 162"0 12"0 111"0 4"0 6#"5 4"1 3"0 32"2 2 "0 122"4 120"0 4"0 62" 60"0 40"! 32"# 24"5 1!"6 3 5"3 120"0 4"0 #2"0 5#"6 46"0 40"5 2!"5 22"! 1"# 4 4"0 120"0 1"5 54" 4"0 41" 34" 2!"2 22"! 1"# 5 3"2 120"0 6!"0 52"0 4#"4 41"0 34"2 25"# 21"5 1"2 6 2"# 116"4 60"0 52"0 44"# 36"4 31"1 23"0 1"0 1#"3 # 2"3 116"4 5"2 51"6 42"6 36"0 30"0 22"5 1#"0 13"# 2"0 4"0 56"2 4"0 41"# 31" 2!"0 1!"3 14"5 12"0 ! 1" 4"0 55"2 45"2 41"# 31"4 25"1 1#" 13"# 11"# 10 1"6 #"0 54"0 40"4 30"3 23"4 20"# 16"5 13"4 11"6 11 1"5 #"0 51"0 36"0 2" 23"4 1" 14"0 12"3 11"6 12 1"3 54"0 4"0 34"0 2"5 20"4 16"1 13"! 11" 11"6 13 1"2 54"0 45"0 32"0 24"0 1"2 15"6 12"# 11"6 10"! 14 1"1 4"0 30"0 26"0 24"0 16"6 12" !"5 "1 #"1 15 1"1 36"0 2#"0 25"6 21"! 16"0 12"0 "0 6"0 5"3 16 10"4 %0"6!1 4##"# %0"6#2 10 560"! %0"6##

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Transcript of Trabajo Hidro

Grfica I-D-TTabla: Resumen de intensidades mximas de lluvia en mm/hrAo5101520304060801001201956120.081.554.841.736.034.825.721.518.216.8195784.051.036.028.820.416.112.712.310.99.51958116.456.240.430.323.420.716.513.711.610.11959240.0162.0128.0111.084.067.548.138.032.227.61960122.469.052.042.631.430.023.018.017.315.5196148.030.025.621.918.215.613.911.811.710.31962120.0120.084.062.860.040.932.724.519.616.41963116.458.251.644.736.429.019.314.511.610.1196436.027.026.024.016.612.89.58.17.16.3196578.055.248.048.041.834.229.522.918.715.9196678.060.052.047.446.040.529.222.918.716.3196754.045.034.028.523.418.814.011.611.610.6196884.048.032.024.016.012.08.06.05.34.7196954.054.045.241.731.825.117.813.412.010.01970120.084.072.057.641.031.122.517.013.712.0N ordenT510152030406080100120116.0240.0162.0128.0111.084.067.548.138.032.227.628.0122.4120.084.062.860.040.932.724.519.616.835.3120.084.072.057.646.040.529.522.918.716.444.0120.081.554.848.041.834.829.222.918.716.353.2120.069.052.047.441.034.225.721.518.215.962.7116.460.052.044.736.431.123.018.017.315.572.3116.458.251.642.636.030.022.517.013.712.082.084.056.248.041.731.829.019.314.512.010.691.884.055.245.241.731.425.117.813.711.710.3101.678.054.040.430.323.420.716.513.411.610.1111.578.051.036.028.823.418.814.012.311.610.1121.354.048.034.028.520.416.113.911.811.610.0131.254.045.032.024.018.215.612.711.610.99.5141.148.030.026.024.016.612.89.58.17.16.3151.136.027.025.621.916.012.08.06.05.34.716810.43-0.6918477.74-0.67210560.9125-0.67675-0.67675y=560.9125xLa intensidad para D serD=45mini=42.6661592211mm/hr10188.7413981997118.071510275689.73778773373.862341127856.137531180246.206281465735.118120098828.905399074724.853932723521.9689454335

IDF USAAo5101520304060801001201956120.081.554.841.736.034.825.721.518.216.8195784.051.036.028.820.416.112.712.310.99.51958116.456.240.430.323.420.716.513.711.610.11959240.0162.0128.0111.084.067.548.138.032.227.61960122.469.052.042.631.430.023.018.017.315.5196148.030.025.621.918.215.613.911.811.710.31962120.0120.084.062.860.040.932.724.519.616.41963116.458.251.644.736.429.019.314.511.610.1196436.027.026.024.016.612.89.58.17.16.3196578.055.248.048.041.834.229.522.918.715.9196678.060.052.047.446.040.529.222.918.716.3196754.045.034.028.523.418.814.011.611.610.6196884.048.032.024.016.012.08.06.05.34.7196954.054.045.241.731.825.117.813.412.010.01970120.084.072.057.641.031.122.517.013.712.0N ordenT510152030406080100120116.0240.0162.0128.0111.084.067.548.138.032.227.628.0122.4120.084.062.860.040.932.724.519.616.835.3120.084.072.057.646.040.529.522.918.716.444.0120.081.554.848.041.834.829.222.918.716.353.2120.069.052.047.441.034.225.721.518.215.962.7116.460.052.044.736.431.123.018.017.315.572.3116.458.251.642.636.030.022.517.013.712.082.084.056.248.041.731.829.019.314.512.010.691.884.055.245.241.731.425.117.813.711.710.3101.678.054.040.430.323.420.716.513.411.610.1111.578.051.036.028.823.418.814.012.311.610.1121.354.048.034.028.520.416.113.911.811.610.0131.254.045.032.024.018.215.612.711.610.99.5141.148.030.026.024.016.612.89.58.17.16.3151.136.027.025.621.916.012.08.06.05.34.7TDI16.05240.01.2040.6992.3801.4500.4890.8422.8661.664116.0101621.2041.0002.2101.4501.0001.2042.6612.210216.0151281.2041.1762.1071.4501.3831.4162.5372.478316.0201111.2041.3012.0451.4501.6931.5672.4632.661416.030841.2041.4771.9241.4502.1821.7792.3172.842516.04067.51.2041.6021.8291.4502.5671.9292.2032.931616.06048.11.2041.7781.6821.4503.1622.1412.0262.991716.080381.2041.9031.5801.4503.6222.2921.9023.006816.010032.21.2042.0001.5081.4504.0002.4081.8163.016916.012027.61.2042.0791.4411.4504.3232.5041.7352.996108.05122.40.9030.6992.0880.8160.4890.6311.8851.459118.010120.00.9031.0002.0790.8161.0000.9031.8782.079128.01584.00.9031.1761.9240.8161.3831.0621.7382.263138.02062.80.9031.3011.7980.8161.6931.1751.6242.339148.03060.00.9031.4771.7780.8162.1821.3341.6062.627158.04040.90.9031.6021.6120.8162.5671.4471.4562.582168.06032.70.9031.7781.5150.8163.1621.6061.3682.693178.08024.50.9031.9031.3890.8163.6221.7191.2552.644188.010019.60.9032.0001.2920.8164.0001.8061.1672.585198.012016.80.9032.0791.2250.8164.3231.8781.1072.5482045120.00.6020.6992.0790.3620.4890.4211.2521.4532141081.50.6021.0001.9110.3621.0000.6021.1511.9112241554.80.6021.1761.7390.3621.3830.7081.0472.0452342048.00.6021.3011.6810.3621.6930.7831.0122.1872443041.80.6021.4771.6210.3622.1820.8890.9762.3952544034.80.6021.6021.5420.3622.5670.9650.9282.4702646029.20.6021.7781.4650.3623.1621.0710.8822.6062748022.90.6021.9031.3600.3623.6221.1460.8192.58828410018.70.6022.0001.2720.3624.0001.2040.7662.54429412016.30.6022.0791.2120.3624.3231.2520.7302.520302584.00.3010.6991.9240.0910.4890.2100.5791.3453121056.20.3011.0001.7500.0911.0000.3010.5271.7503221548.00.3011.1761.6810.0911.3830.3540.5061.9773322041.70.3011.3011.6200.0911.6930.3920.4882.1083423031.80.3011.4771.5020.0912.1820.4450.4522.2193524029.00.3011.6021.4620.0912.5670.4820.4402.3433626019.30.3011.7781.2860.0913.1620.5350.3872.2863728014.50.3011.9031.1610.0913.6220.5730.3502.21038210012.00.3012.0001.0790.0914.0000.6020.3252.15839212010.60.3012.0791.0250.0914.3230.6260.3092.132401.5578.00.1760.6991.8920.0310.4890.1230.3331.323411.51051.00.1761.0001.7080.0311.0000.1760.3011.708421.51536.00.1761.1761.5560.0311.3830.2070.2741.830431.52028.80.1761.3011.4590.0311.6930.2290.2571.899441.53023.40.1761.4771.3690.0312.1820.2600.2412.022451.54018.80.1761.6021.2740.0312.5670.2820.2242.041461.56014.00.1761.7781.1460.0313.1620.3130.2022.038471.58012.30.1761.9031.0900.0313.6220.3350.1922.074481.510011.60.1762.0001.0640.0314.0000.3520.1872.129491.512010.10.1762.0791.0040.0314.3230.3660.1772.088501.1536.00.0410.6991.5560.0020.4890.0290.0641.088511.11027.00.0411.0001.4310.0021.0000.0410.0591.431521.11525.60.0411.1761.4080.0021.3830.0490.0581.656531.12021.90.0411.3011.3400.0021.6930.0540.0551.744541.13016.00.0411.4771.2040.0022.1820.0610.0501.779551.14012.00.0411.6021.0790.0022.5670.0660.0451.729561.1608.00.0411.7780.9030.0023.1620.0740.0371.606571.1806.00.0411.9030.7780.0023.6220.0790.0321.481581.11005.30.0412.0000.7240.0024.0000.0830.0301.449591.11204.70.0412.0790.6720.0024.3230.0860.0281.3976032.390.190.427.5146.548.554.4128.4Del cuadro anterior obtenemos los valores de las sumatoriasX1=32.28X21=27.51X1*Y=54.38X1*X2=48.47X2=90.09X22=146.52X2*Y=128.37Y=90.44 Con los datos obtenidos de las sumatorias del cuadro procedemos a calcular los coeficientes de

6032.2890.09a090.4432.2827.5148.47xa1=54.3890.0948.47146.52a2128.37a02.1973404137a1=0.5640945719a2-0.6616019742

K157.5217085473m=0.5640945719n0.6616019742Reemplazamos los valores en la ecuacion inicial0.5640945719i=157.5217085473T0.6616019742DD = 45T = 10i =46.522851166

IDF TALBOTTabla: Resumen de intensidades mximas de lluvia en mm/hrAo5101520304060801001201956120.081.554.841.736.034.825.721.518.216.8195784.051.036.028.820.416.112.712.310.99.51958116.456.240.430.323.420.716.513.711.610.11959240.0162.0128.0111.084.067.548.138.032.227.61960122.469.052.042.631.430.023.018.017.315.5196148.030.025.621.918.215.613.911.811.710.31962120.0120.084.062.860.040.932.724.519.616.41963116.458.251.644.736.429.019.314.511.610.1196436.027.026.024.016.612.89.58.17.16.3196578.055.248.048.041.834.229.522.918.715.9196678.060.052.047.446.040.529.222.918.716.3196754.045.034.028.523.418.814.011.611.610.6196884.048.032.024.016.012.08.06.05.34.7196954.054.045.241.731.825.117.813.412.010.01970120.084.072.057.641.031.122.517.013.712.0Ordenamos de forma descendente y hallamos los periodos de retornoInterpolamos valores para T = 10 aosN ordenT510152030406080100120T510152030406080100120116.0240.0162.0128.0111.084.067.548.138.032.227.616240.0162.0128.0111.084.067.548.138.032.227.628.0122.4120.084.062.860.040.932.724.519.616.810151.8130.595.074.966.047.636.627.922.819.535.3120.084.072.057.646.040.529.522.918.716.48122.41208462.86040.932.724.519.616.844.0120.081.554.848.041.834.829.222.918.716.353.2120.069.052.047.441.034.225.721.518.215.962.7116.460.052.044.736.431.123.018.017.315.572.3116.458.251.642.636.030.022.517.013.712.082.084.056.248.041.731.829.019.314.512.010.691.884.055.245.241.731.425.117.813.711.710.3101.678.054.040.430.323.420.716.513.411.610.1111.578.051.036.028.823.418.814.012.311.610.1121.354.048.034.028.520.416.113.911.811.610.0131.254.045.032.024.018.215.612.711.610.99.5141.148.030.026.024.016.612.89.58.17.16.3151.136.027.025.621.916.012.08.06.05.34.7

Ecuacion de Talbot para T = 16 aosEcuacion de Talbot para T = 8 aosEcuacion de Talbot para T =4 aosEcuacion de Talbot para T = 2 aosEcuacion de Talbot para T = 10 aosnT = 16 iYXYX2nT = 8iYXYX2nT = 4iYXYX2nT = 2 iYXYX2nT = 10iYXYX215240.00.00416666670.02083333332515122.40.00816993460.04084967322515120.00.00833333330.0416666667251584.00.01190476190.05952380952515151.80.00658761530.032938076425210162.00.00617283950.0617283951100210120.00.00833333330.083333333310021081.50.01226993870.122699386510021056.20.01779359430.1779359431100210130.50.00766283520.0766283525100315128.00.00781250.117187522531584.00.01190476190.178571428622531554.80.01824817520.273722627722531548.00.02083333330.312522531595.00.01052631580.1578947368225420111.00.0090090090.180180180240042062.80.01592356690.318471337640042048.00.02083333330.416666666740042041.70.02398081530.47961630740042074.90.01336005340.267201068840053084.00.01190476190.357142857190053060.00.01666666670.590053041.80.0239234450.717703349390053031.80.03144654090.943396226490053066.00.01515151520.454545454590064067.50.01481481480.5925925926160064040.90.02444987780.97799511160064034.80.02873563221.1494252874160064029.00.03448275861.3793103448160064047.60.02103049420.8412197687160076048.10.02079002081.2474012474360076032.70.03058103981.8348623853360076029.20.03424657532.0547945205360076019.30.05181347153.1088082902360076036.60.02735978111.6415868673360088038.00.02631578952.1052631579640088024.50.04081632653.2653061224640088022.90.04366812233.4934497817640088014.50.06896551725.5172413793640088027.90.03587443952.8699551576400910032.20.03105590063.105590062110000910019.60.05102040825.102040816310000910018.70.05347593585.347593582910000910012.00.08333333338.333333333310000910022.80.0439560444.3956043956100001012027.60.03623188414.347826087144001012016.80.05952380957.1428571429144001012016.30.06134969337.3619631902144001012010.60.094339622611.320754717144001012019.50.05128205136.1538461538144004800.168274186812.1357454127376504800.267389725119.4442873497376504800.305084184420.9796850595376504800.438893749131.6324203506376504800.23279114516.891420031537650b1=0.000277795a=3599.7772625009b1=0.0004524011a=2210.4277126079b1=0.0004336512a=2306.0007024518b1=0.0007231705a=1382.7998485919b1=0.0003913378a=2555.3371849605a1=0.0034932603b=12.5749591668a1=0.0050237182b=11.1045658534a1=0.0096931602b=22.3524343425a1=0.0091771929b=12.690220982a1=0.0044949007b=11.4859869025D =45minD =45minD =45minD =45minD =45mini =3599.7772625009=62.5233142081i =2210.4277126079=39.3983569606i =2306.0007024518=34.2378226557i =1382.7998485919=23.9693976735i =2555.3371849605=45.238426822112.5749591668+D11.1045658534+D22.3524343425+D12.690220982+D11.4859869025+DHallamos la intensidad maxima para un T = 10 aos y D=45 min interpolandoTi1662.52839.4

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