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• Bryan Kenai

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UNIVERSIDAD NACIONAL DEL CENTRO DEL-----------------------------------------------------------------PERU

INGENIERIA CIVIL

TRANSITO DE AVENIDAS

METODO DE MUSKINGUM DATOS: K= X= ∆t =

En Días 1.8 0.2 1

Co = C1 = C2 =

0.0721649485 0.4432989691 0.4845360825

T (dias)

I (m3/s)

O (m3/s)

1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00

118.00 186.00 258.00 430.50 441.00 491.40 682.50 1274.20 1442.10 1209.80 993.60 655.20 527.80 410.80 338.00 273.00 126.00 112.00 95.20 82.60 82.60

121.70 126.61 164.33 226.97 334.55 394.96 460.37 619.48 970.99 1198.97 1190.86 1066.67 847.28 676.07 535.98 431.15 340.93 231.04 170.37 132.62 108.74

t (días)

I (m3/s)

O (m3/s)

Numerador

Suma Numerador

Denominador

Suma Denominador

0 1 2 3

59 93 129 205

42 70 76 142

20 38 58

20 58 116

29.2 12 68

29.2 41.2 109.2

CAUDAL (m3/s)

FORMULAS USADAS:

HIDROLOGIA GENERAL

16 14 12 10 8 6 4 2

UNIVERSIDAD NACIONAL DEL CENTRO DEL-----------------------------------------------------------------PERU 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

210 234 325 554 627 526 432 252 203 158 130 105 90 80 68 59 59

183 185 213 293 397 487 533 481 371 252 196 161 143 112 95 83 75

45 38 80.5 186.5 245.5 134.5 -31 -165 -198.5 -131 -80 -61 -54.5 -42.5 -29.5 -25.5 -20

161 199 279.5 466 711.5 846 815 650 451.5 320.5 240.5 179.5 125 82.5 53 27.5 7.5

HIDROLOGIA GENERAL

33.8 6.4 40.6 109.8 97.8 51.8 18 -77.6 -97.8 -104.2 -50.4 -33 -17.4 -26.8 -16 -11.4 -6.4

INGENIERIA CIVIL 143 149.4 190 299.8 397.6 449.4 467.4 389.8 292 187.8 137.4 104.4 87 60.2 44.2 32.8 26.4

UNIVERSIDAD NACIONAL DEL CENTRO DEL-----------------------------------------------------------------PERU

INGENIERIA CIVIL

ESTACION AYACUCHO

HIDROGRAMAS DE ENTRADA Y SALIDA

CAUDAL (m3/s)

Q ingreso

Q salida

1600.00 1400.00 1200.00 1000.00 800.00 600.00 400.00 200.00 0.00 00 00 00 00 00 00 00 00 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0. 1 . 2. 3 . 4. 5. 6 . 7. 8 . 9 . 10 . 1 1 . 12 . 13 . 1 4 . 15 . 1 6 . 17 . 18 . 1 9 . 20 . 21 . 2 2 .

TIEMPO (dias)

HIDROLOGIA GENERAL

Sum a N um e rador

UNIVERSIDAD NACIONAL DEL CENTRO DEL-----------------------------------------------------------------PERU

INGENIERIA CIVIL

900 800

f(x) = 1.8338873532x - 43.1274484202 R² = 0.9865284746

700 600 500 400 300 200 100 0

0

50

100

150

200

250

300

Suma Denominador

HIDROLOGIA GENERAL

350

400

450

500

UNIVERSIDAD NACIONAL DEL-------------------------------------------------------------------------CENTRO DEL PERU

INGENIERIA CIVIL

TRANSITO DE AVENIDAS

METODO DE MUSKINGUM CUNGE

ESTACION AYACUCHO

DATOS: Tr (días) M Delta t (días) So n Qbase (m3/s) Qpico (m3/s) Q.lateral (m3/s) Delta t t (días) (días)

8 6 1.333333 0.025 0.025 60 1551.3 90

B (m)

I (m3/s)

y (m)

x Delta x c (m/s) Delta (m) crít.(m)

K

X

1.3 1.3 1.3 1.3 1.3 1.3 1.3

1.3 2.7 4.0 5.3 6.7 8.0 9.3

100 100 100 100 100 100 100

118.0 186.0 258.0 430.5 441.0 491.4 682.5

0.37 0.48 0.58 0.79 0.81 0.86 1.05

5.4 6.5 7.4 9.0 9.1 9.5 10.9

7.2 8.6 9.8 12.1 12.2 12.7 14.5

33.5 29.2 26.8 23.9 23.7 23.3 22.1

1.33 1.33 1.33 1.33 1.33 1.33 1.33

-0.11 -0.17 -0.21 -0.29 -0.29 -0.31 -0.37

1.3 1.3

10.7 12.0

100 100

1274.2 1442.1

1.52 1.64

13.9 14.7

18.6 19.5

20.9 20.8

1.33 1.33

-0.48 -0.51

1.3

13.3

100

1209.8

1.48

13.7

18.2

20.9

1.33

-0.47

1.3 1.3 1.3

14.7 16.0 17.3

100 100 100

993.6 655.2 527.8

1.31 1.02 0.90

12.6 10.7 9.8

16.8 14.3 13.1

21.2 22.2 23.0

1.33 1.33 1.33

-0.43 -0.36 -0.32

1.3 1.3

18.7 20.0

100 100

410.8 338.0

0.77 0.69

8.9 8.2

11.8 10.9

24.1 25.1

1.33 1.33

-0.28 -0.25

1.3 1.3

21.3 22.7

100 100

273.0 126.0

0.60 0.38

7.5 5.5

10.0 7.4

26.4 32.8

1.33 1.33

-0.22 -0.12

1.3 1.3 1.3 1.3

24.0 25.3 26.7 28.0

100 100 100 100

112.0 95.2 82.6 82.6

0.35 0.32 0.29 0.29

5.3 4.9 4.7 4.7

7.0 6.6 6.2 6.2

34.1 35.9 37.6 37.6

1.33 1.33 1.33 1.33

-0.10 -0.08 -0.07 -0.07

1600.0

HIDROLOGIA GENERAL 1400.0

UNIVERSIDAD NACIONAL DEL-------------------------------------------------------------------------CENTRO DEL PERU

INGENIERIA CIVIL

1600.0

1400.0

1200.0

Q (m3/s)

1000.0

800.0

caud caud 600.0

400.0

200.0

0.0 0.0

5.0

10.0

15.0 t (dias)

HIDROLOGIA GENERAL

20.0

25.0

30.0

UNIVERSIDAD NACIONAL DEL-------------------------------------------------------------------------CENTRO DEL PERU

E

UM CUNGE

FORMULAS USADAS:

AYACUCHO

c1

c2

c3

c4

O (m3/s)

0.242 0.199 0.167 0.117 0.115 0.104 0.071

0.379 0.401 0.416 0.442 0.443 0.448 0.464

0.379 0.401 0.416 0.442 0.443 0.448 0.464

0.621 0.599 0.584 0.558 0.557 0.552 0.536

118.0 199.2 274.0 391.5 468.0 525.4 644.1

0.009 -0.003

0.496 0.502

0.496 0.502

0.504 0.498

1002.1 1266.8

0.014

0.493

0.493

0.507

1286.8

0.034 0.075 0.097

0.483 0.462 0.452

0.483 0.462 0.452

0.517 0.538 0.548

1189.1 975.9 791.9

0.122 0.141

0.439 0.430

0.439 0.430

0.561 0.570

642.9 530.6

0.162 0.236

0.419 0.382

0.419 0.382

0.581 0.618

443.7 337.7

0.247 0.262 0.275 0.275

0.377 0.369 0.362 0.362

0.377 0.369 0.362 0.362

0.623 0.631 0.638 0.638

256.5 215.9 191.8 179.5

HIDROLOGIA GENERAL

INGENIERIA CIVIL

UNIVERSIDAD NACIONAL DEL-------------------------------------------------------------------------CENTRO DEL PERU

HIDROGRAMAS DE ENTRADA Y SALIDA

caudal de ingreso caudal de salida

30.0

HIDROLOGIA GENERAL

INGENIERIA CIVIL

UNIVERSIDAD NACIONAL DEL-------------------------------------------------------------------------CENTRO DEL PERU

HIDROLOGIA GENERAL

INGENIERIA CIVIL

UNIVERSIDAD NACIONAL DEL CENTRO DEL PERU-------------------------------------------------------

INGENIERIA CIVIL

TRANSITO DE AVENIDAS METODO DE LA PISCIINA NIVELADA

FORMULAS USADA

ESTACION AYACUCHO DATOS: SUPERFICIE DE LA CUENCA = ANCHO DE VERTEDERO = COEFICIENTE DE CAUDAL (Cd) = CAUDAL BASE =

7715.0966733 8 0.385 25

Has

H (m)

O (m3/s)

V (m3)

0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.00 4.50 5.00 5.50 6.00 6.50 7.00 7.50 8.00 8.50 9.00

0.00 4.82 13.64 25.06 38.59 53.93 70.89 89.33 109.14 130.23 152.53 175.97 200.51 226.08 252.67 280.22 308.70 338.09 368.35

0 38575483.3665 77150966.733 115726450.1 154301933.466 192877416.833 231452900.199 270028383.566 308603866.932 347179350.299 385754833.665 424330317.032 462905800.398 501481283.765 540056767.131 578632250.498 617207733.864 655783217.231 694358700.597

t (hrs) 0.00 3.00 6.00 9.00 12.00 15.00 18.00 21.00 24.00 27.00 30.00 36.00 42.00 48.00

∆t (hrs) 3.00 3.00 3.00 3.00 3.00 3.00 3.00 3.00 3.00 3.00 6.00 6.00 6.00

I (m3/s) 25.00 30.00 40.00 52.50 65.80 73.80 76.30 75.00 71.00 65.00 57.50 42.50 30.00 25.00

t (hrs)

∆t (hrs)

I (m3/s)

Ij + Ij+1 (m3/s)

2Vj/∆t-Oj (m3/s)

2Vj+1/∆t + Oj+1 (m3/s)

Oj (m3/s)

0.00 3.00 6.00

3.00 3.00

25.00 30.00 40.00

55.00 70.00

-25.00 -22.88 -9.12

30.00 47.12

25.00 26.44 28.12

HIDROLOGIA GENERAL

UNIVERSIDAD NACIONAL DEL CENTRO DEL PERU------------------------------------------------------9.00 12.00 15.00 18.00 21.00 24.00 27.00 30.00 36.00 42.00 48.00 54.00 60.00 66.00 72.00 78.00

3.00 3.00 3.00 3.00 3.00 3.00 3.00 3.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00

∆t = 3 h Linear (∆t = 6 h) 400.00 350.00

52.50 65.80 73.80 76.30 75.00 71.00 65.00 57.50 42.50 30.00 25.00 25.00 25.00 25.00 25.00 25.00

92.50 118.30 139.60 150.10 151.30 146.00 136.00 122.50 100.00 72.50 55.00 50.00 50.00 50.00 50.00 50.00

Linear (∆t = 3 h)

20.04 64.23 116.88 167.65 209.43 238.77 254.31 255.96 239.19 203.60 160.91 122.57 91.75 66.97 47.04 31.02

∆t = 6 h

f(x) = 0.0058840371x + 23.5 f(x) = 0.0029486259x + 23.5

300.00 O (m3/s)

250.00 200.00 150.00 100.00 50.00 0.00 0.00

20000.00 40000.00 60000.00 80000.00 100000.00 120000.00 2V/∆t + O (m3/s)

HIDROLOGIA GENERAL

83.38 138.34 203.83 266.98 318.95 355.43 374.77 376.81 355.96 311.69 258.60 210.91 172.57 141.75 116.97 97.04

INGENIERIA CIVIL 31.67 37.06 43.47 49.66 54.76 58.33 60.23 60.43 58.38 54.05 48.84 44.17 40.41 37.39 34.96 33.01

UNIVERSIDAD NACIONAL DEL CENTRO DEL PERU-------------------------------------------------------

FORMULAS USADAS:

2V/∆t1+O (m3/s) 0.00 7148.43 14300.86 21455.89 28613.02 35771.97 42932.54 50094.59 57258.01 64422.70 71588.61 78755.66 85923.80 93092.99 100263.18 107434.34 114606.43 121779.42 128953.30

2V/∆t2+O (m3/s) 0.00 3576.63 7157.25 10740.48 14325.80 17912.95 21501.71 25091.96 28683.57 32276.47 35870.57 39465.82 43062.15 46659.54 50257.92 53857.28 57457.56 61058.76 64660.83

HIDROLOGIA GENERAL

INGENIERIA CIVIL

UNIVERSIDAD NACIONAL DEL CENTRO DEL PERU-------------------------------------------------------

HIDROGRAMAS DE ENTRADA Y SALIDA

CAUDAL DE ENTRADA

CAUDAL DE SALIDA

90.00 80.00 70.00 60.00 50.00 40.00 30.00 20.00 10.00 0.00 0.00 10.00 20.00 30.00 40.00 50.00 60.00 70.00 80.00 90.00

HIDROLOGIA GENERAL

INGENIERIA CIVIL