FLUJO GRADUALMENTE VARIADO

q3.81579 α: 1Q:7.25 COTA: 120z:2n:0.012

So:0.01b ó a ó d:1.9

r:0.95TRAPEZOIDAL S.M.

Yo (Qn/(s)^(0,5)(b+2y*(1+z^2) (b+zYo) Yo

1 0.870 6.372 3.9 0.4950.495 0.870 4.112 2.89 0.5600.560 0.870 4.406 3.02 0.5510.551 0.870 4.364 3.00 0.5520.552 0.870 4.370 3.00 0.5520.552 0.870 4.370 3.00 0.552

Y (m) A (m^2) P (m) V (m/s) V^2/2g (m) E (m)1.35 6.21 7.94 1.17 0.069 1.421.08 4.39 6.73 1.65 0.139 1.220.81 2.86 5.53 2.53 0.327 1.140.54 1.62 4.33 4.47 1.017 1.560.27 0.67 3.13 10.79 5.932 6.210.01 0.01 1.92 686.98 24053.797 24053.80

CIRCULAR

Y (m) α: ϴ: ϴ (rad): A (m^2) P (m)

1.33 23.5782 227.156 3.96463 2.12 3.771.26 19.0415 218.083 3.80627 2.00 3.621.19 14.6258 209.252 3.65213 1.87 3.471.12 10.2974 200.595 3.50104 1.74 3.331.05 6.0278 192.056 3.35200 1.61 3.180.98 1.7915 183.583 3.20413 1.4741 3.04

RECTANGULAR Y (m) A (m^2)

Yo (Qn/(s)^(0,5)(b+2y) Yo5 9.50

4.00 7.601 0.870 3.900 0.834 3.00 5.71

0.834 0.870 3.569 0.805 2.00 3.810.805 0.870 3.511 0.800 1.01 1.910.800 0.870 3.500 0.799 0.01 0.020.799 0.870 3.498 0.7990.799 0.870 3.498 0.7990.799 0.870 3.498 0.799

PARABÓLICA

Yo A Q*n/(s^0,5) T T+((8/3*Y^2)/9T) 2/3*T Yo

12.34 15.631 0.870 1.9 215.620 1.2666666666667 6.230529256.231 7.892 0.870 1.9 56.384 1.2666666666667 3.643426623.643 4.615 0.870 1.9 20.531 1.2666666666667 2.432276222.432 3.081 0.870 1.9 10.203 1.2666666666667 1.838832961.839 2.329 0.870 1.9 6.646 1.2666666666667 1.549049641.549 1.962 0.870 1.9 5.268 1.2666666666667 1.411564721.412 1.788 0.870 1.9 4.697 1.2666666666667 1.348215741.348 1.708 0.870 1.9 4.451 1.2666666666667 1.31958577

Y (m) A (m^2) P (m) V (m/s) V^2/2g (m) E (m)5 6.33 36.99 1.14 0.067 5.07

4.00 5.07 24.39 1.43 0.104 4.113.01 3.81 14.58 1.90 0.185 3.19

2.01 2.54 7.56 2.85 0.414 2.421.01 1.28 3.33 5.66 1.635 2.650.01 0.02 1.90 433.75 9589.083 9589.10

Yc (Q^2/g) (b+2zYc) b+zYc Yc

1 5.358 5.900 3.9 0.8110.811 5.358 5.143 3.5215053817917 0.8580.858 5.358 5.331 3.6154436325302 0.8450.845 5.358 5.282 3.5909751890581 0.8490.849 5.358 5.295 3.5972716822164 0.8480.848 5.358 5.291 3.595646281702 0.848

E2-E1 (m) So Sf Sf. Prom ΔX (m) ∑ ΔX (m)0.01 0.000272 0 0

0.20 0.01 0.000694 0.000483 20.96 20.960.08 0.01 0.002224 0.001459 9.47 30.43-0.42 0.01 0.010639 0.006431 118.14 148.56-4.65 0.01 0.130220 0.070429 76.88 225.45

-24047.60 0.01 70285.543154 35142.836687 0.68 226.13

Yc: 0.614Yo: 0.447

Yi 0.45Yf: 5

Y: 0.454886711213402

V (m/s) V^2/2g (m) E (m) E2-E1 (m) So Sf

3.42 0.596 1.93 0.01 0.0036243.63 0.673 1.93 0.01 0.01 0.0041963.88 0.767 1.96 0.02 0.01 0.0049484.17 0.886 2.01 0.05 0.01 0.0059474.51 1.038 2.09 0.08 0.01 0.0072974.92 1.233 2.21 0.13 0.01 0.009160

P (m) V (m/s) V^2/2g (m) E (m) E2-E1 (m) So

11.90 0.76 0.030 5.03 0.018.00 0.95 0.046 4.05 0.98 0.016.01 1.27 0.082 3.09 0.96 0.014.01 1.90 0.185 2.19 0.90 0.012.01 3.79 0.733 1.74 0.45 0.010.02 477.65 11628.505 11628.51 -11626.77 0.01

Yc A Q^2/g 3/2*A/Y Yc

1 1.267 2.679 1.9 1.4961.496 1.895 2.679 1.9 1.6551.655 2.096 2.679 1.9 1.6971.697 2.149 2.679 1.9 1.7071.707 2.163 2.679 1.9 1.7101.710 2.166 2.679 1.9 1.7111.711 2.167 2.679 1.9 1.7111.711 2.167 2.679 1.9 1.7111.711 2.167 2.679 1.9 1.711

E2-E1 (m) So Sf Sf. Prom ΔX (m) ∑ ΔX (m)0.01 0.001985 0 0

0.96 0.01 0.002391 0.002188 122.87 122.870.92 0.01 0.003129 0.002760 126.61 249.49

0.77 0.01 0.005000 0.004064 129.40 378.89-0.22 0.01 0.016550 0.010775 288.55 667.43

-9586.45 0.01 14920.540717 7460.278633 1.29 668.72

TRAPEZOIDAL S.I. YcYo (Qn/(s)^(0,5)(b+2y*(1+z^2) (b+zYo) Yo

21 0.584 6.372 3.9 0.389 0.429

0.389 0.584 3.642 2.6788955 0.453 0.6550.453 0.584 3.927 2.80655452 0.446 0.6060.446 0.584 3.894 2.79183777 0.447 0.6160.447 0.584 3.898 2.79352632 0.447

Yc: 0.848121.35 121.35 Yo: 0.552 y:121.29 120.87 Yi 1.35120.91 120.72 Yf: 0.01121.72 119.36121.04 119.51120.01 120.00 TRAPEZOIDAL INGLES

Y (m) A (m^2) P (m) V (m/s) V^2/2g (m) E (m)

5 59.50 24.26 0.12 0.000 5.004.55 49.95 22.23 0.15 0.000 4.554.09 41.23 20.19 0.18 0.000 4.093.64 33.34 18.16 0.22 0.001 3.643.18 26.27 16.12 0.28 0.001 3.182.73 20.04 14.09 0.36 0.002 2.732.27 14.63 12.05 0.50 0.004 2.271.82 10.04 10.02 0.72 0.008 1.821.36 6.29 7.99 1.15 0.021 1.380.91 3.36 5.95 2.16 0.072 0.980.45 1.26 3.92 5.73 0.511 0.96

COTA H2O. (msnmm) AGUAS ARRIBA

COTA H2O. (msnmm)

AGUAS ABAJO

Sf. Prom ΔX (m) ∑ ΔX (m)

0 0 121.33 121.33 Yc:0.003910 1.04 1.04 121.27 121.26 Yo:0.004572 4.56 5.60 121.24 121.19 Yi0.005447 10.75 16.35 121.23 121.12 Yf:0.006622 24.05 40.39 121.29 121.050.008229 70.73 111.12 121.69 120.98

Sf Sf. Prom ΔX (m) ∑ ΔX (m)

0.000113 0 0 125.00 124.99990.000140 0.000127 99.43 99.43 124.00 124.00150.000249 0.000195 98.16 197.59 123.00 123.00310.000559 0.000404 93.37 290.96 122.00 122.00470.002217 0.001388 52.29 343.25 121.01 121.0063

35.179302 17.590760 661.34 1004.59 120.01 120.0079

Yc: 1.711Yo: 1.31958577 Y 0.99736083

Yi 0.01319586Yf: 5

125.00 125.000125.23 124.003124.27 123.005

COTA H2O. (msnmm)

AGUAS ARRIBA

COTA H2O. (msnmm)

AGUAS ABAJO

COTA H2O. (msnmm)

AGUAS ARRIBA

COTA H2O. (msnmm)

AGUAS ABAJO

COTA H2O. (msnmm) AGUAS ARRIBA

COTA H2O. (msnmm)

AGUAS ABAJO

123.30 122.008123.90 121.010120.03 120.013

(Q^2/g) (b+2zYc) b+zYc Yc

1.633 9.900 5.9 0.4291.633 3.614 2.75716392 0.6551.633 4.522 3.21094385 0.6061.633 4.326 3.11295506 0.6161.633 4.366 3.1327939 0.614

0.26889553

E2-E1 (m) So Sf Sf. Prom ΔX (m) ∑ ΔX (m)

0.01 0.000000 0 0 125.00 125.000.45 0.01 0.000001 0.000000 45.48 45.48 125.00 124.090.45 0.01 0.000001 0.000001 45.48 90.96 124.54 123.640.45 0.01 0.000002 0.000001 45.47 136.43 124.09 123.180.45 0.01 0.000003 0.000002 45.45 181.88 123.64 122.730.45 0.01 0.000007 0.000005 45.43 227.31 123.18 122.270.45 0.01 0.000016 0.000012 45.36 272.67 122.72 121.820.45 0.01 0.000047 0.000032 45.20 317.88 122.27 121.360.44 0.01 0.000176 0.000112 44.73 362.61 121.81 120.910.40 0.01 0.001042 0.000609 42.95 405.56 121.34 120.480.02 0.01 0.017558 0.009300 23.06 428.62 120.68 120.22

COTA H2O. AGUAS ARRIBA

COTA H2O. AGUAS ABAJO

1.330.971.33 Y: 0.0700.9797

Yc: 1.141 Y 0.99840227Yo: 0.799

Yi 5Yf: 0.00798864