Caudal Maximo Y Periodo De Retorno

UNIVERSIDAD TÉCNICA DE AMBATO

FACULTAD DE INGENIERÍA CIVIL Y MECÁNICA

DISEÑO HIDRÁULICO

TRABAJO N: 1

NOMBRE: LENIN GABRIEL SILVA
SEMESTRE: SÉPTIMO
PARALELO: B
FECHA DE ELABORACIÓN: 18 DE SEPTIEMBRE DE 2011
FECHA DE PRESENTACIÓN: 19 DE SEPTIEMBRE DE 2011


DETERMINAR CAUDAL MÁXIMO PARA UN PERÍODO DE RETORNO DE: 5, 50, 500 AÑOS DEL RÍO TOACHI AJ PILATON
AÑO CRONOLÓGICO |Qmax [m3/seg] | EVENTO m | Qmax descendente | Probabilidad | (Xi - X)2 |
| | | [me/seg] | Chegodaiev | |
1964 | 93,952 | 1 | 267,792 | 1,733 | 31151,23513 |
1965 | 142,782 | 2 | 166,808 | 4,208 | 5702,232047 |
1966 | 95,749 | 3 | 145,418 | 6,683 | 2929,31266 |
1967 | 120,514 | 4 | 142,782 | 9,158 | 2650,924041 |
1968 | 74,694 | 5 | 132,895 | 11,634 | 1730,5704 |
ºº1969| 102,497 | 6 | 129,364 | 14,109 | 1449,258278 |
1970 | 117,392 | 7 | 127,383 | 16,584 | 1302,352766 |
1971 | 166,808 | 8 | 125,626 | 19,059 | 1178,626144 |
1972 | 106,126 | 9 | 122,437 | 21,535 | 969,8319495 |
1973 | 127,383 | 10 | 120,514 | 24,010 | 853,7572658 |
1974 | 114,246 | 11 | 117,392 | 26,485 | 681,0599333 |
1975 | 145,418 | 12 | 114,246 | 28,960 | 526,7541388 |
1976 |125,626 | 13 | 110,741 | 31,436 | 378,1517775 |
1977 | 83,913 | 14 | 106,126 | 33,911 | 219,9622688 |
1978 | 110,741 | 15 | 105,37 | 36,386 | 198,1091438 |
1979 | 92,235 | 16 | 105,28 | 38,861 | 195,5837213 |
1980 | 94,978 | 17 | 102,497 | 41,337 | 125,4876045 |
1981 | 122,437 | 18 | 95,749 | 43,812 | 19,83922952 |
1982 | 93,99 | 19 | 94,978 | 46,287 | 13,56540977 |
1983 | 105,28 | 20| 93,99 | 48,762 | 7,263698766 |
1984 | 129,364 | 21 | 93,952 | 51,238 | 7,060313266 |
1986 | 22,144 | 22 | 93,548 | 53,713 | 5,076572266 |
1987 | 21,004 | 23 | 92,235 | 56,188 | 0,883835016 |
1988 | 18,593 | 24 | 88,246 | 58,663 | 9,295638766 |
1989 | 30,447 | 25 | 83,913 | 61,139 | 54,49207852 |
1990 | 50,552 | 26 | 77,727 | 63,614 | 184,087232 |
1991 | 20,038 | 27 | 76,468 |66,089 | 219,8362223 |
1992 | 267,792 | 28 | 74,694 | 68,564 | 275,5890508 |
1993 | 30,619 | 29 | 74,508 | 71,040 | 281,7991723 |
1994 | 30,104 | 30 | 73,518 | 73,515 | 316,0172848 |
1995 | 58,223 | 31 | 58,223 | 75,990 | 1093,748916 |
1996 | 13,874 | 32 | 50,552 | 78,465 | 1659,981863 |
1997 | 93,548 | 33 | 30,619 | 80,941 | 3681,561807 |
1998 | 105,37 | 34 | 30,447 | 83,416 |3702,463892 |
2000 | 132,895 | 35 | 30,104 | 85,891 | 3744,323183 |
2001 | 77,727 | 36 | 22,144 | 88,366 | 4781,843513 |
2002 | 88,246 | 37 | 21,004 | 90,842 | 4940,807108 |
2003 | 74,508 | 38 | 20,038 | 93,317 | 5077,542235 |
2004 | 76,468 | 39 | 18,593 | 95,792 | 5285,562629 |
2005 | 73,518 | 40 | 13,874 | 98,267 | 5993,991886 |
| | | SUMATORIA | 3651,795 | | | | 93599,84204 |* PARÁMETROS FUNDAMENTALES PARA EL ESTUDIO.
Número de la muestra: 40
Nota: Se considerará para el cálculo de la desviación estándar ---------- 1/(n-1)
Media | 91,294875 |

σx | 48,9897535 |
Desviación estándar:
Datos obtenidos de la tabla de Gumbel.
Ŷ | 0,54362 |
σy | 1,14131 |

Pr [años] | P% | Y% | x% [Q max] |
| | | |1000,0 | 0,1 | 6,909 | 364,510 |
500,0 | 0,2 | 6,215 | 334,730 |
200,0 | 0,5 | 5,297 | 295,327 |
100,0 | 1,0 | 4,601 | 265,461 |
50,0 | 2,0 | 3,903 | 235,486 |
20,0 | 5,0 | 2,971 | 195,484 |
10,0 | 10,0 | 2,251 | 164,581 |
5,0 | 20,0 | 1,500 | 132,364 |
3,3 | 30,0 | 1,031 | 112,228 |
2,5 | 40,0 | 0,672 | 96,807 |
2,0 | 50,0 | 0,367 | 83,703 |
1,7 | 60,0 | 0,088 | 71,721 |
1,4 |70,0 | -0,185 | 59,999 |
1,3 | 80,0 | -0,476 | 47,538 |
1,1 | 90,0 | -0,834 | 32,162 |
1,0 | 99,0 | -1,527 | 2,404 |




DETERMINAR CAUDAL MÁXIMO PARA UN PERÍODO DE RETORNO DE: 5, 50, 500 AÑOS DEL RÍO TOACHI AJ PILATON POR EL MÉTODO DE PEARSON
AÑO Cronolog | Qmax [m3/seg] | Evento m | Qmax descendente | Probablilidad | ki | ki-1 | (ki-1)^2 | (ki-1)^3 |
| | | [m/seg] |...