METODO TRAMOS FIJOS

DATOS:

Q = 2

n = 0.025

So = 0.0005

b = 1

Z = 2

Yn= 1.421

Yc= 0.6368

Sc =

G= 9.8

T X ∆X So∆X Y A P R R^2/3 V

1 2 3 4 5 6 7 8 9

7.00 0.00 200.00 -0.1000 1.5000 6.0000 7.7082 0.7784 0.8462 0.33336.68 -200.00 200.00 -0.1000 1.4210 5.4595 7.3549 0.7423 0.8198 0.36636.39 -400.00 200.00 -0.1000 1.3470 4.9758 7.0240 0.7084 0.7947 0.40196.13 -600.00 200.00 -0.1000 1.2820 4.5690 6.7333 0.6786 0.7722 0.43775.90 -800.00 200.00 -0.1000 1.2240 4.2204 6.4739 0.6519 0.7518 0.47395.71 -1000.00 200.00 -0.1000 1.1770 3.9477 6.2637 0.6302 0.7351 0.50665.56 -1200.00 200.00 -0.1000 1.1390 3.7336 6.0938 0.6127 0.7214 0.53575.44 -1400.00 200.00 -0.1000 1.1110 3.5796 5.9685 0.5998 0.7112 0.55875.36 -1600.00 200.00 -0.1000 1.0900 3.4662 5.8746 0.5900 0.7035 0.57705.30 -1800.00 200.00 -0.1000 1.0760 3.3916 5.8120 0.5835 0.6983 0.58975.26 -2000.00 200.00 -0.1000 1.0660 3.3387 5.7673 0.5789 0.6946 0.5990

-2500.00 -2000.00 -1500.00 -1000.00 -500.00 0.000.0000

0.2000

0.4000

0.6000

0.8000

1.0000

1.2000

1.4000

1.6000PERFIL M1

c...

METODO TRAMOS FIJOS

V^2/(2g) E So∆X+E Perfil Tipo de Curva

10 11 12 13 14 15 16 12 13

0.0057 1.50566 1.40566 0.000086766 0.0000000 0.000000 0.0000 M 10.0068 1.42784 1.32784 0.000109316 0.0000980 -0.019608 1.48605 M 20.0082 1.35523 1.25523 0.000137181 0.0001232 -0.024650 1.40319 M 20.0098 1.29177 1.19177 0.000169036 0.0001531 -0.030622 1.32461 M 20.0114 1.23545 1.13545 0.000205311 0.0001872 -0.037435 1.25433 M 20.0131 1.19008 1.09008 0.000241811 0.0002236 -0.044712 1.19073 M 20.0146 1.15362 1.05362 0.000277197 0.0002595 -0.051901 1.13818 M 20.0159 1.12691 1.02691 0.000307340 0.0002923 -0.058454 1.09517 M 20.0170 1.10697 1.00697 0.000332584 0.0003200 -0.063992 1.06292 M 20.0177 1.09372 0.99372 0.000350816 0.0003417 -0.068340 1.03863 M 20.0183 1.08429 0.98429 0.000364585 0.0003577 -0.071540 1.02218 M 2

SE SE SE∆X E+SE∆X

-2500.00 -2000.00 -1500.00 -1000.00 -500.00 0.000.0000

0.2000

0.4000

0.6000

0.8000

1.0000

1.2000

1.4000

1.6000PERFIL M1

c...

Froude Tipo de Flujo

14 15

0.08 Subcritico0.09 Subcritico0.11 Subcritico0.12 Subcritico0.14 Subcritico0.15 Subcritico0.16 Subcritico0.17 Subcritico0.18 Subcritico0.19 Subcritico0.19 Subcritico

METODO DE INTEGRACION GRAFICA

DATOS:

Q = 5

n = 0.025

So = 0.0005

b = 2.5

Z = 1.5

P = 1.8

C= 2

L = 7

Yn= 1.375

Yc= 0.647

Sc =

G= 9.8

Y A T R V

1 2 3 4 5 6

2.30 13.68 9.40 1.2680 0.3654 0.0000607922

2.20 12.76 9.10 1.2231 0.3918 0.0000733646

2.10 11.86 8.80 1.1781 0.4214 0.0000892063

2.00 11.00 8.50 1.1327 0.4545 0.0001093627

1.90 10.16 8.20 1.0871 0.4919 0.0001352835

1.80 9.36 7.90 1.0412 0.5342 0.0001690102

1.70 8.58 7.60 0.9949 0.5824 0.0002134661

1.65 8.21 7.45 0.9715 0.6091 0.0002409802

1.60 7.84 7.30 0.9481 0.6378 0.0002729159

1.55 7.48 7.15 0.9246 0.6686 0.0003101379

1.50 7.12 7.00 0.9009 0.7018 0.0003537121

1.48 6.99 6.94 0.8915 0.7158 0.0003732068

1.46 6.85 6.88 0.8819 0.7302 0.0003940242

1.44 6.71 6.82 0.8724 0.7451 0.0004162720

1.43 6.64 6.79 0.8676 0.7527 0.0004279688

1.42 6.57 6.76 0.8628 0.7605 0.0004400682

1.41 6.51 6.73 0.8580 0.7684 0.0004525868

1.40 6.44 6.70 0.8532 0.7764 0.0004655419

SE

1.20 1.40 1.60 1.80 2.00 2.20 2.400.00

5000.00

10000.00

15000.00

20000.00

25000.00

30000.00 CURVA F(y)

1.20 1.40 1.60 1.80 2.00 2.20 2.400.00

5000.00

10000.00

15000.00

20000.00

25000.00

30000.00 CURVA F(y)

METODO DE INTEGRACION GRAFICA

1-Q^2T/gA^3 f( y )=7/8 x Perfil

7 8 9 10 11 12

0.99065 0.00044 2255.55 M

0.98884 0.00043 2317.76 228.52 228.52 M

0.98657 0.00041 2401.63 235.76 464.28 M

0.98373 0.00039 2518.26 245.67 709.95 M

0.98010 0.00036 2687.30 259.38 969.33 M

0.97545 0.00033 2947.07 280.76 1250.09 M

0.96939 0.00029 3383.16 314.52 1564.61 M

0.96568 0.00026 3728.19 177.30 1741.91 M

0.96139 0.00023 4233.65 198.21 1940.12 M

0.95644 0.00019 5037.55 230.13 2170.25 M

0.95068 0.00015 6498.70 284.44 2454.69 M

0.94812 0.00013 7477.67 139.33 2594.02 M

0.94539 0.00011 8920.80 163.22 2757.24 M

0.94248 0.00008 11256.47 200.21 2957.45 M

0.94096 0.00007 13063.17 121.60 3079.05 M

0.93938 0.00006 15674.16 143.69 3222.74 M

0.93775 0.00005 19778.32 177.26 3400.00 M

0.93607 0.00003 27165.56 234.72 3634.72 M

SE-S0 ∆x=A

1.20 1.40 1.60 1.80 2.00 2.20 2.400.00

5000.00

10000.00

15000.00

20000.00

25000.00

30000.00 CURVA F(y)

1.20 1.40 1.60 1.80 2.00 2.20 2.400.00

5000.00

10000.00

15000.00

20000.00

25000.00

30000.00 CURVA F(y)

Tipo de CurvaFroude Tipo de Flujo

13 14 15

1 0.05 Subcritico

1 0.06 Subcritico

1 0.06 Subcritico

1 0.07 Subcritico

1 0.08 Subcritico

1 0.09 Subcritico

1 0.11 Subcritico

1 0.11 Subcritico

1 0.12 Subcritico

1 0.13 Subcritico

1 0.14 Subcritico

1 0.15 Subcritico

1 0.15 Subcritico

1 0.15 Subcritico

1 0.16 Subcritico

1 0.16 Subcritico

1 0.16 Subcritico

1 0.16 Subcritico

[

METODO DIRECTO POR TRAMOS

DATOS:

Q = 1

n = 0.015

So = 0.01

b = 0.8

Z = 1

Yn= 0.352

Yc= 0.447

Sc =

G= 9.8

Y A T R R^2/3 V V^2/(2g) E ∆E

1 2 3 4 5 6 7 8 9 10 11

0.447 0.56 2.0643 0.2700 0.4178 1.79 0.1640 0.6110 0.0000 0.0041492374

0.430 0.53 2.0162 0.2623 0.4098 1.89 0.1822 0.6122 0.0012 0.0047898536 0.0045

0.410 0.50 1.9597 0.2532 0.4002 2.02 0.2071 0.6171 0.0049 0.0057085344 0.0052

0.400 0.48 1.9314 0.2485 0.3953 2.08 0.2212 0.6212 0.0041 0.0062497977 0.0060

0.390 0.46 1.9031 0.2439 0.3903 2.15 0.2366 0.6266 0.0054 0.0068562822 0.0066

0.380 0.45 1.8748 0.2392 0.3853 2.23 0.2535 0.6335 0.0069 0.0075376820 0.0072

0.370 0.43 1.8465 0.2344 0.3802 2.31 0.2720 0.6420 0.0085 0.0083054271 0.0079

0.360 0.42 1.8182 0.2297 0.3750 2.39 0.2923 0.6523 0.0103 0.0091730517 0.0087

0.356 0.41 1.8069 0.2278 0.3729 2.43 0.3009 0.6569 0.0047 0.0095515751 0.0094

SE ŜE

0.00 5.00 10.00 15.00 20.00 25.00 30.000.0000.0500.1000.1500.2000.2500.3000.3500.4000.4500.500

CURVA S2

METODO DIRECTO POR TRAMOS

∆X L PERFIL FROUDE

12 13 14

0.00 S 2 1.36 Supercritico0.00553 0.2099 0.21 S 2 1.47 Supercritico0.00475 1.0292 1.24 S 2 1.62 Supercritico0.00402 1.0260 2.27 S 2 1.71 Supercritico0.00345 1.5716 3.84 S 2 1.80 Supercritico0.00280 2.4477 6.28 S 2 1.90 Supercritico0.00208 4.0789 10.36 S 2 2.01 Supercritico0.00126 8.1650 18.53 S 2 2.13 Supercritico0.00064 7.3337 25.86 S 2 2.18 Supercritico

SE-S0TIPO DE CURVA

TIPO DE FLUJO

0.00 5.00 10.00 15.00 20.00 25.00 30.000.0000.0500.1000.1500.2000.2500.3000.3500.4000.4500.500

CURVA S2

METODO DE INTEGRACION DIRECTA

DATOS:Q = 0.9 yn= 0.676n = M= 3.500

So = 0.0005 N= 3.600b = 1 J= 3.500Z = 1P =A=L =Yn= 0.676Yc= 0.381Sc =G= 9.8

Y u=Y/Yn v=u^(N/J) F(u,N) F(V,J) X

1 2 3 4 5 6

0.381 0.56 0.53 0.5810 0.5490 67.7200000000

0.400 0.59 0.56 0.6130 0.5810 67.6000000000

0.420 0.62 0.59 0.6470 0.6190 67.1200000000

0.450 0.67 0.64 0.7050 0.6800 59.6200000000

0.480 0.71 0.69 0.7640 0.7410 49.4200000000

0.510 0.75 0.73 0.8290 0.8110 32.5900000000

0.540 0.799 0.781 0.907 0.890 1.030

0.572 0.846 0.832 0.998 0.994 -41.280

METODO DE INTEGRACION DIRECTA

L Perfil Tipo de CurvaFroude Tipo de Flujo

7 8 9 10 11

0.00 M 2 0.84 Subcritico

0.12 M 2 0.88 Subcritico

0.60 M 2 0.94 Subcritico

8.10 M 2 1.01 Supercritico

18.30 M 2 1.09 Supercritico

35.30 M 2 1.17 Supercritico

66.690 M 2 1.25 Supercritico

109.000 M 2 1.34 Supercritico