Hoja1se tiene registro de caudales maximos de 30 aos para la estacion 9-3 angostura, como se muestra en la tabla 6.15. En este rio se desea construir una presa de almacenamiento, calcular el caudal de diseo para el vertedor de demasias, para periodos de retorno 50,100, 500 y 1000 aos respectivamente utilizando el metodo de GumbelAO CAUDALCaudal ^2Desviacionm3/s19602,241.00502208119611,237.951532520.202519625,130.002631690019631,903.503623312.2519643,078.0094740841965834.30696056.491966922.05850176.202519671,260.901589868.8119681,051.651105967.722519691,243.351545919.222519701,007.401014854.761971851.0072420119721,288.0016589441973701.50492102.2519741,322.501749006.251975647.45419191.50251976598.003576041977414.001713961978422.05178126.20251979756.70572594.891980972.32945406.182419811,003.00100600919821,451.402106561.961983615.96379406.72161984685.58470019.93641985657.26431990.70761986965.24931688.257619871,215.401477197.161988493.24243285.697619891,124.541264590.211619901,038.241077942.297619911,071.00114704119921,549.802401880.041993657.72432595.59841994732.06535911.84361995701.82492551.312419961,030.681062301.262419971,297.801684284.841998526.68277391.822419991,200.781441872.608420001,112.401237433.7620011,147.501316756.2520021,660.502757260.252003704.70496602.092004784.35615204.92252005751.95565428.802520061,104.301219478.4920071,390.501933490.252008564.30318434.4920091,286.551655210.9025Sumatoria56408.87091020135.423Promedio1128.177desviacion747.525747.525nro valores50.000Yn=0.549N =1.161

Tiempo(Aos)Qmax =503294.4360.980 =1003740.8580.990 =5004777.4200.998 =10005223.8430.999

Q = 734.219

QmaxCaudal D. (Qd)3294.4364028.6553740.8584475.0784777.4205511.6405223.8435958.063

NashMCAUDAL (Q)AO T T/T - 1X Q *XQ^2X^2m3/s15,130.00196251.001.02-2.07-10595.9826316900.004.2723,078.00196425.501.04-1.76-5417.589474084.003.1032,241.00196017.001.06-1.58-3539.815022081.002.5041,903.50196312.751.09-1.45-2760.293623312.252.1051,660.50200210.201.11-1.35-2239.352757260.251.8261,549.8019928.501.13-1.26-1960.092401880.041.6071,451.4019827.291.16-1.19-1731.552106561.961.4281,390.5020076.381.19-1.13-1571.501933490.251.2891,322.5019745.671.21-1.07-1420.451749006.251.15101,297.8019975.101.24-1.02-1327.981684284.841.05111,288.0019724.641.28-0.98-1258.001658944.000.95121,286.5520094.251.31-0.93-1201.191655210.900.87131,260.9019673.921.34-0.89-1126.631589868.810.80141,243.3519693.641.38-0.86-1064.101545919.220.73151,237.9519613.401.42-0.82-1015.431532520.200.67161,215.4019873.191.46-0.79-955.881477197.160.62171,200.7819993.001.50-0.75-905.701441872.610.57181,147.5020012.831.55-0.72-830.111316756.250.52191,124.5419892.681.59-0.69-780.151264590.210.48201,112.4020002.551.65-0.67-739.891237433.760.44211,104.3020062.431.70-0.64-703.911219478.490.41221,071.0019912.321.76-0.61-653.881147041.000.37231,051.6519682.221.82-0.58-614.521105967.720.34241,038.2419902.131.89-0.56-580.131077942.300.31251,030.6819962.041.96-0.53-550.111062301.260.28261,007.4019701.962.04-0.51-512.921014854.760.26271,003.0019811.892.13-0.48-486.431006009.000.2428972.3219801.822.22-0.46-448.36945406.180.2129965.2419861.762.32-0.44-422.32931688.260.1930922.0519661.702.43-0.41-381.86850176.200.1731851.0019711.652.55-0.39-332.65724201.000.1532834.3019651.592.68-0.37-306.80696056.490.1433784.3520041.552.83-0.34-270.27615204.920.1234756.7019791.503.00-0.32-243.18572594.890.1035751.9520051.463.19-0.30-224.11565428.800.0936732.0619941.423.40-0.27-200.96535911.840.0837704.7020031.383.64-0.25-176.66496602.090.0638701.8219951.343.92-0.23-158.95492551.310.0539701.5019731.314.25-0.20-141.54492102.250.0440685.5819841.284.64-0.18-120.94470019.940.0341657.7219931.245.10-0.15-98.81432595.600.0242657.2619851.215.67-0.12-80.85431990.710.0243647.4519751.196.38-0.09-61.17419191.500.0144615.9619831.167.29-0.06-39.58379406.720.0045598.0019761.138.50-0.03-19.01357604.000.0046564.3020081.1110.200.002.10318434.490.0047526.6819981.0912.750.0422.94277391.820.0048493.2419881.0617.000.0944.42243285.700.0149422.0519781.0425.500.1562.53178126.200.0250414.0019771.0251.000.2396.20171396.000.05Sumatoria56,408.87229.46229.46-30.02-50,043.4291,020,135.4230.73CAUDAL (Q)X Q *XQ^2X^2N =50Qm =1,128.18Xm=-1.1773418799Sxx635.2127301617Sqq1369046156.4481b = -424.3363867353Sxq-808651.739769369a =628.5884007326

TQX =acdefbQ =501501.3660764513-2.056806116611175.88699141310.77345734360.02083333330.0015742758339599476.3327398614.7553532613281.35843576961001630.0371734995-2.360035113811175.88699141311.39876328560.02083333330.0015742758339599476.33273915579.4027974595327.140885795001927.3764361329-3.060751036211175.88699141313.54723005010.02083333330.0015742758339599476.33273939508.9907888667450.266044823610002055.2066756084-3.361998450911175.88699141314.77272433330.02083333330.0015742758339599476.33273953158.5262478168507.2845877384

TQX =Q =QmaxQd (diseo)501501.3660764513-2.0568061166281.35843576961782.72451222092064.0831001630.0371734995-2.3600351138327.140885791957.17805928952284.3195001927.3764361329-3.0607510362450.26604482362377.64248095662827.90910002055.2066756084-3.3619984509507.28458773842562.49126334683069.776

lebedievmCAUDAL (Q)AO Qi/Qm-1(Qi/Qm-1)^2(Qi/Qm-1)^3m3/s15,130.0019623.547212.582344.631523,078.0019641.72832.98705.162432,241.0019600.98640.97300.959741,903.5019630.68720.47230.324651,660.5020020.47180.22260.105061,549.8019920.37370.13970.052271,451.4019820.28650.08210.023581,390.5020070.23250.05410.012691,322.5019740.17220.02970.0051101,297.8019970.15040.02260.0034111,288.0019720.14170.02010.0028121,286.5520090.14040.01970.0028131,260.9019670.11760.01380.0016141,243.3519690.10210.01040.0011151,237.9519610.09730.00950.0009161,215.4019870.07730.00600.0005171,200.7819990.06440.00410.0003181,147.5020010.01710.00030.0000191,124.541989-0.00320.0000-0.0000201,112.402000-0.01400.0002-0.0000211,104.302006-0.02120.0004-0.0000221,071.001991-0.05070.0026-0.0001231,051.651968-0.06780.0046-0.0003241,038.241990-0.07970.0064-0.0005251,030.681996-0.08640.0075-0.0006261,007.401970-0.10710.0115-0.0012271,003.001981-0.11100.0123-0.001428972.321980-0.13810.0191-0.002629965.241986-0.14440.0209-0.003030922.051966-0.18270.0334-0.006131851.001971-0.24570.0604-0.014832834.301965-0.26050.0679-0.017733784.352004-0.30480.0929-0.028334756.701979-0.32930.1084-0.035735751.952005-0.33350.1112-0.037136732.061994-0.35110.1233-0.043337704.702003-0.37540.1409-0.052938701.821995-0.37790.1428-0.054039701.501973-0.37820.1430-0.054140685.581984-0.39230.1539-0.060441657.721993-0.41700.1739-0.072542657.261985-0.41740.1742-0.072743647.451975-0.42610.1816-0.077444615.961983-0.45400.2061-0.093645598.001976-0.46990.2208-0.103846564.302008-0.49980.2498-0.124947526.681998-0.53320.2843-0.151648493.241988-0.56280.3167-0.178349422.051978-0.62590.3918-0.245250414.001977-0.63300.4007-0.2537Sumatoria56,408.8721.51349.502CAUDAL (Q)

N =50Qm =1,128.18Cv = 0.656Cs1 =3.508se escoge el mayorCs2 = 1.968Cs =3.508TCsPK (tabla 6.17)Er (6.3)QmaxAQQd503.5082.00%3.160.953466.6170.85395.8803862.4971003.5081.00%4.2114243.6300.85510.1194753.7495003.5080.20%7.471.056656.0710.7691.8637347.93410003.5080.10%7.641.16781.8730.7738.5087520.381