Ejercicio De Tránsito De Crecidas

Universidad del Zulia
Facultad de Ingeniería
Escuela de Ingeniería Civil
Obras Hidráulicas

Ejercicio No. 1: Tránsito de Avenidas
Dados los datos de un hidrograma de entrada I vs T, considerando que la curva de capacidad por encima del nivel de alivio se ajusta a la siguiente ecuación S=0,48H (S en Mn3 y H en mts) para valores de 0≤H≤4, que la curva de descarga del aliviadero está dada porQ=42,1H3/2 (m3/s), con almacenamiento (Si) y caudal de salida (Oi) igual a cero. Se pide determinar el hidrograma de salida O vs T y el caudal de diseño.

Datos:
S=0,48H
Curva Auxiliar |
H(m) | S(Mm3) | O(m3/s) | 2S/dt + O |
0,00 | 0,00 | 0,00 | 0,00 |
0,25 | 0,12 | 5,26 | 138,60 |
0,50 | 0,24 | 14,88 | 281,55 |
0,75 | 0,36 | 27,34 | 427,34 |
1,00 | 0,48 | 42,10 | 575,43 |
1,25| 0,6 | 58,84 | 725,50 |
1,50 | 0,72 | 77,34 | 877,34 |
1,75 | 0,84 | 97,46 | 1030,80 |
2,00 | 0,96 | 119,08 | 1185,74 |
2,25 | 1,08 | 142,09 | 1342,09 |
2,50 | 1,2 | 166,41 | 1499,75 |
2,75 | 1,32 | 191,99 | 1658,66 |
3,00 | 1,44 | 218,76 | 1818,76 |
3,25 | 1,56 | 246,66 | 1980,00 |
3,50 | 1,68 | 275,67 | 2142,33 |
3,75 | 1,8 | 305,72 | 2305,72 |
4,00 | 1,92 | 336,80 |2470,13 |
Q=42,1H3/2
Si=0 ; Oi=0

Hidrograma de Entrada |
T (h) | I (m3/s) |
0,0 | 0 |
0,5 | 15 |
1,0 | 72 |
1,5 | 216 |
2,0 | 605 |
2,5 | 440 |
3,0 | 310 |
3,5 | 221 |
4,0 | 172 |
4,5 | 160 |
5,0 | 83 |
5,5 | 55 |
6,0 | 17 |
6,5 | 0 |

t(hrs) | I(m3/s) | Ii+Ii+1 | 2Si/dt - Oi | 2Si+1/dt +Oi+1 | Oi+1 |
0,0 | 0 |   | 0 |   |   |
0,5 | 15 | 15 | 13,86 | 15 |0,57 |
1,0 | 72 | 87 | 93,21 | 100,86 | 3,83 |
1,5 | 216 | 288 | 334,41 | 381,21 | 23,40 |
2,0 | 605 | 821 | 925,72 | 1155,41 | 114,85 |
2,5 | 440 | 1045 | 1480,61 | 1970,72 | 245,05 |
3,0 | 310 | 750 | 1646,80 | 2230,61 | 291,91 |
3,5 | 221 | 531 | 1613,41 | 2177,80 | 282,19 |
4,0 | 172 | 393 | 1503,65 | 2006,41 | 251,38 |
4,5 | 160 | 332 | 1392,29 | 1835,65 | 221,68 |
5,0 | 83| 243 | 1258,83 | 1635,29 | 188,23 |
5,5 | 55 | 138 | 1095,76 | 1396,83 | 150,53 |
6,0 | 17 | 72 | 934,62 | 1167,76 | 116,57 |
6,5 | 0 | 17 | 777,46 | 951,62 | 87,08 |
7,0 | 0 | 0 | 647,78 | 777,46 | 64,84 |
7,5 | 0 | 0 | 547,92 | 647,78 | 49,93 |
8,0 | 0 | 0 | 469,20 | 547,92 | 39,36 |
8,5 | 0 | 0 | 406,18 | 469,20 | 31,51 |
9,0 | 0 | 0 | 355,12 | 406,18 | 25,53 |
9,5 | 0 | 0 |312,78 | 355,12 | 21,17 |
10,0 | 0 | 0 | 277,68 | 312,78 | 17,55 |
10,5 | 0 | 0 | 248,44 | 277,68 | 14,62 |
11,0 | 0 | 0 | 223,14 | 248,44 | 12,65 |
11,5 | 0 | 0 | 201,24 | 223,14 | 10,95 |
12,0 | 0 | 0 | 182,29 | 201,24 | 9,48 |
12,5 | 0 | 0 | 165,89 | 182,29 | 8,20 |
13,0 | 0 | 0 | 151,70 | 165,89 | 7,10 |
13,5 | 0 | 0 | 139,41 | 151,70 | 6,14 |
14,0 | 0 | 0 | 128,78 | 139,41 |5,31 |
14,5 | 0 | 0 | 119,01 | 128,78 | 4,89 |
15,0 | 0 | 0 | 109,98 | 119,01 | 4,52 |
15,5 | 0 | 0 | 101,63 | 109,98 | 4,17 |
16,0 | 0 | 0 | 93,92 | 101,63 | 3,86 |
16,5 | 0 | 0 | 86,79 | 93,92 | 3,56 |
17,0 | 0 | 0 | 80,20 | 86,79 | 3,29 |
17,5 | 0 | 0 | 74,11 | 80,20 | 3,04 |
18,0 | 0 | 0 | 68,49 | 74,11 | 2,81 |
18,5 | 0 | 0 | 63,29 | 68,49 | 2,60 |
19,0 | 0 | 0 | 58,48 |63,29 | 2,40 |
19,5 | 0 | 0 | 54,05 | 58,48 | 2,22 |
20,0 | 0 | 0 | 49,94 | 54,05 | 2,05 |
20,5 | 0 | 0 | 46,15 | 49,94 | 1,90 |
21,0 | 0 | 0 | 42,65 | 46,15 | 1,75 |
21,5 | 0 | 0 | 39,41 | 42,65 | 1,62 |
22,0 | 0 | 0 | 36,42 | 39,41 | 1,50 |
22,5 | 0 | 0 | 33,66 | 36,42 | 1,38 |
23,0 | 0 | 0 | 31,10 | 33,66 | 1,28 |
23,5 | 0 | 0 | 28,74 | 31,10 | 1,18 |
24,0 | 0 | 0 | 26,56 |28,74 | 1,09 |
24,5 | 0 | 0 | 24,54 | 26,56 | 1,01 |
25,0 | 0 | 0 | 22,68 | 24,54 | 0,93 |
25,5 | 0 | 0 | 20,96 | 22,68 | 0,86 |
26,0 | 0 | 0 | 19,37 | 20,96 | 0,80 |
26,5 | 0 | 0 | 17,90 | 19,37 | 0,74 |
27,0 | 0 | 0 | 16,54 | 17,90 | 0,68 |
27,5 | 0 | 0 | 15,28 | 16,54 | 0,63 |
28 | 0 | 0 | 14,12 | 15,28 | 0,58 |
28,5 | 0 | 0 | 13,05 | 14,12 | 0,54 |
29 | 0 | 0 | 12,06 |...