curva de remanso- por makelvin

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CURVA MI

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Page 1: Curva de Remanso- por MAKELVIN

CURVA MI

Page 2: Curva de Remanso- por MAKELVIN
Page 3: Curva de Remanso- por MAKELVIN

FLUJO GRADUALMENTE VARIADO

METODO DE TRAMOS FIJOS

DATOS A INGRESAR

Caudal Talud Tirante inicial

Q b z So n Y1 ∆x

m3/s m m m

2.4 1.7 2.5 0.0005 0.035 1.9 -150

X ∆X So∆X Y A P R R^2/3 V V^2/2g E0 -150 -0.075 1.9000 12.2550 11.9318 1.0271 1.0180 0.1958 0.0020 1.9020

-150 -150 -0.0751.8322

11.5071 11.5667 0.9949 0.9966 0.2086 0.0022 1.8344

-300 -150 -0.075 1.7657 10.7959 11.2086 0.9632 0.9753 0.2223 0.0025 1.7682

-450 -150 -0.075 1.7008 10.1232 10.8591 0.9322 0.9543 0.2371 0.0029 1.7037

-600 -150 -0.075 1.6378 9.4902 10.5198 0.9021 0.9336 0.2529 0.0033 1.6411

-750 -150 -0.0751.5771

8.8992 10.1929 0.8731 0.9135 0.2697 0.0037 1.5808

-900 -150 -0.075 1.5191 8.3516 9.8806 0.8453 0.8940 0.2874 0.0042 1.5233

Ancho del canal

Pendiente del tirante

Coef. de Rugosidad

Longitud del tramo fijo

E18
Makelvin: SE ASUME UN TIRANTE Y2 MENOR AL Y1
Page 4: Curva de Remanso- por MAKELVIN

-1050 -150 -0.0751.4642

7.8488 9.5850 0.8189 0.8753 0.3058 0.0048 1.4690

-1200 -150 -0.0751.4130

7.3935 9.3092 0.7942 0.8576 0.3246 0.0054 1.4184

-1350 -150 -0.075 1.3658 6.9854 9.0551 0.7714 0.8411 0.3436 0.0060 1.3718

-1500 -150 -0.0751.3232

6.6266 8.8257 0.7508 0.8261 0.3622 0.0067 1.3299

-1650 -150 -0.0751.2852

6.3142 8.6210 0.7324 0.8125 0.3801 0.0074 1.2926

-1800 -150 -0.075 1.2522 6.0488 8.4433 0.7164 0.8006 0.3968 0.0080 1.2602

-1950 -150 -0.075 1.2241 5.8270 8.2920 0.7027 0.7904 0.4119 0.0086 1.2327

-2100 -150 -0.075 1.2007 5.6454 8.1660 0.6913 0.7818 0.4251 0.0092 1.2099

-2250 -150 -0.075 1.1815 5.4984 8.0626 0.6820 0.7748 0.4365 0.0097 1.1912

-2500 -2000 -1500 -1000 -500 00.000

0.200

0.400

0.600

0.800

1.000

1.200

1.400

1.600

1.800

2.000

Page 5: Curva de Remanso- por MAKELVIN

-2500 -2000 -1500 -1000 -500 00.000

0.200

0.400

0.600

0.800

1.000

1.200

1.400

1.600

1.800

2.000

Page 6: Curva de Remanso- por MAKELVIN

So∆X+E E+ ŜE∆X1.8270 0.000045

1.7594 0.000054 0.000050 -0.0075 1.82691.8269

1.6932 0.000064 0.000059 -0.0089 1.7593 1.7593

1.6287 0.000076 0.000070 -0.0105 1.6932 1.6932

1.5661 0.000090 0.000083 -0.0125 1.6286 1.6286

1.5058 0.000107 0.000099 -0.0149 1.56591.5659

1.4483 0.000127 0.000117 -0.0176 1.5057 1.5057

SE ŜE ŜE∆X

Q18
Makelvin: ESTE VALOR DEBE SER IGUAL A So∆X+E DEL Y1
Page 7: Curva de Remanso- por MAKELVIN

1.3940 0.000150 0.000139 -0.0209 1.44811.4481

1.3434 0.000175 0.000163 -0.0245 1.39391.3939

1.2968 0.000204 0.000190 -0.0285 1.3433 1.3433

1.2549 0.000235 0.000220 -0.0330 1.29691.2969

1.2176 0.000268 0.000252 -0.0378 1.25481.2548

1.1852 0.000301 0.000285 -0.0428 1.2174 1.2174

1.1577 0.000333 0.000317 -0.0476 1.1851 1.1851

1.1349 0.000362 0.000348 -0.0522 1.1577 1.1577

1.1162 0.000389 0.000376 -0.0564 1.1348 1.1348

-2500 -2000 -1500 -1000 -500 00.000

0.200

0.400

0.600

0.800

1.000

1.200

1.400

1.600

1.800

2.000

Page 8: Curva de Remanso- por MAKELVIN

-2500 -2000 -1500 -1000 -500 00.000

0.200

0.400

0.600

0.800

1.000

1.200

1.400

1.600

1.800

2.000

Page 9: Curva de Remanso- por MAKELVIN

CONDICIONESCambiar Y2 asumido

Page 10: Curva de Remanso- por MAKELVIN

FLUJO GRADUALMENTE VARIADO

METODO DIRECTO POR TRAMOS

DATOS A INGRESAR

Caudal TaludQ b z So n Ycm3/s m m

1.5 0.7 1.5 0.01 0.012 0.537

Y1= 0.537Y2= 0.381∆Y= -0.016

S2

Y A P R R^2/3 V

0.537 0.809 2.3981 0.3067 0.4548 1.86

0.521 0.521 0.773 2.3487 0.2995 0.4477 1.94

0.506 0.506 0.738 2.2993 0.2923 0.4405 2.03

0.490 0.490 0.703 2.2499 0.2851 0.4332 2.13

0.475 0.475 0.670 2.2005 0.2779 0.4258 2.24

0.459 0.459 0.637 2.1511 0.2706 0.4183 2.35

0.443 0.443 0.605 2.1017 0.2633 0.4108 2.48

0.428 0.428 0.574 2.0523 0.2559 0.4031 2.61

0.412 0.412 0.543 2.0029 0.2485 0.3952 2.76

0.396 0.396 0.513 1.9535 0.2410 0.3873 2.92

0.381 0.381 0.484 1.9041 0.2335 0.3792 3.100.000

Ancho del canal

Pendiente del tirante

Coef. de Rugosidad

Tirante inicial o critico

TIPO DE CURVA

Page 11: Curva de Remanso- por MAKELVIN

RESULTADO FINAL

X Y0.00 0.5370.14 0.5210.56 0.5061.37 0.4902.67 0.4754.65 0.4597.63 0.443

12.11 0.42819.32 0.41232.28 0.39667.62 0.381

Page 12: Curva de Remanso- por MAKELVIN

DATOS A INGRESAR

Ynm

0.377 10

V^2/(2g) E ∆E SE ŜE SE-S0 ∆X

0.1754 0.7124 0.00240

0.1921 0.7134 0.0010 0.00271 0.0026 0.00745 0.1356

0.2107 0.7165 0.0030 0.00307 0.0029 0.00711 0.4267

0.2318 0.7219 0.0054 0.00349 0.0033 0.00672 0.8079

0.2555 0.7301 0.0081 0.00398 0.0037 0.00626 1.2992

0.2825 0.7414 0.0114 0.00456 0.0043 0.00573 1.9842

0.3133 0.7566 0.0152 0.00525 0.0049 0.00510 2.9735

0.3484 0.7761 0.0195 0.00606 0.0057 0.00435 4.4852

0.3889 0.8010 0.0249 0.00703 0.0065 0.00345 7.2084

0.4354 0.8318 0.0309 0.00820 0.0076 0.00238 12.9563

0.4895 0.8703 0.0385 0.00962 0.0089 0.00109 35.3414

Tirante Normal

Numero de Tramos

Page 13: Curva de Remanso- por MAKELVIN

CONDICIONES NO CAMB IAR S2 M2

0

L

0.00

0.14

0.56

1.37

2.67

4.65

7.63

12.11

19.32

32.28

67.62

Page 14: Curva de Remanso- por MAKELVIN

CONDICIONES NO CAMB IAR