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DISEÑO LINEA DE CONDUCCION GRAVEDAD OBRA:

TUBERIA DE DRENAJE LAS BAMBAS m3/s m3/h Qmd = 0.0200 m3/Seg 0.003851 13.8630243258 72 0.0039 m3/Seg 3.850840091 Porcentaje de llena 100% Cota Captacion = 4503.153 m.s.n.m. 108.657 Cota Reservorio = 4394.496 m.s.n.m. Longitud Tramo = 1163.00 m = C= 140 HDPE PENDIENTE DISPONIBLE: �_(𝐷𝐼�𝑃𝑂𝑁𝐼𝐵𝐿𝐸 )= ∆ℎ/𝐿

0.09 ‰

DIAMETRO DE TUBERIA:

�=0.2785∗𝐶∗𝐷^2.63*�^0.54

Willams- Hazems

𝐷= √(2.63&�/ ((0.2785∗𝐶∗�^0.54 ) ))

91.30 mm

≈

48.80 mm

VERIFICANDO LA VELOCIDAD: �=�/� (m/s)

10.69 m/seg

LUEGO DIAMETRO DE LA TUBERIA ES DE:

48.80 Pulg

VERIFICANDO DE NUEVO PENDIENTE DE DISEÑO: �_𝐷𝐼�𝐸Ñ𝑂= √(0.54&�/ ((0.0004264∗𝐶∗𝐷^2.63 ) )) �_𝐷𝐼�𝑃𝑂𝑁𝐼𝐵𝐿 𝐸=

0.00 ‰

0.09

>

Perdida de carga en el Tramo:

�_𝐷𝐼�𝐸Ñ 𝑂=

0.00 ‰

Hf =

0.00 m

EL REGIMEN DE TRABAJO ES A TUBO LLENO: CALCULO DE CLASE DE TUBERIA: 𝑃𝑅𝐸�𝐼𝑂𝑁=∆ℎ/0. 70

154.52 lb/Plg2

Cota Piezometrica Reservorio = Cota Terreno Capt - Hf 𝑃𝑟𝑒𝑠𝑖𝑜𝑛 𝐹𝑖𝑛𝑎𝑙 𝑑𝑒𝑙 𝑇𝑟𝑎𝑚𝑜=𝐶𝑜𝑡𝑎 𝑃𝑖𝑒𝑧 𝑅𝑒𝑠𝑒𝑟𝑣 −𝐶𝑜𝑡𝑎 𝑅𝑒𝑠𝑒𝑟𝑣𝑜𝑟𝑖𝑜 Luego Usamos:

TUBERIA CLASE:

≈

155.00 109.00 4,503.15 108.66 7.5

4550

NIVEL DE CARGA ESTATICA 2; 4,503 4500

Hf =

4450

4400 1; 4,380 1; 4380 4350

2; 4370

3; 4358

4; 4350

5; 4343

6; 4338

7; 4334 8; 4330

PRESION =

4300

4250

4200 0

100

200 300 L.G.H. Linear (L.G.H.)

400 500 600 Linear (L.G.H.) Linear (L.G.H.) Perfil de Terreno

700

≈

0.00000

Lb/Pulg² m.c.a.

m.c.a.

503

0.00 m

108.66 m

330

700

SDR 11 C Rh1 Rh2 D1 D2 Re f u p n

Densidad

𝐷= √(2.63&�/ ((0.2785∗𝐶∗�^0.5

140 0.0225 0.01285 0.09 0.0514 344200 0.02414 0.001003 1000 0.011

90 75.8

TABLA 1 PI

Elevación

Progresiva

Tramo

Dif. Elev

Longitud

Pend.

Caudal (m3/s)

136.545 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z A'

4531.041 4523.032 4504.299 4500.498 4473.395 4462.357 4452.085 4447.527 4441.527 4433.616 4432.661 4427.609 4418.7 4399.213 4394.496 4384.571 4380.864 4370 4357.61 4342.178 4340.173 4312.143 4308.799 4300.666 4293.42 4283.696 4277.965

32.725 133.470 197.167 205.100 340.964 411.325 502.951 579.377 683.503 762.820 816.756 857.766 956.670 1119.080 1177.508 1237.188 1287.483 1376.833 1416.861 1468.826 1506.596 1585.108 1659.758 1683.489 1749.062 1841.011 1898.006

-AB BC CD DE EF FG GH HI IJ JK KL LM MN NO OP PQ QR RS ST TU UV VW WX XY YZ ZA'

-8.009 18.733 3.801 27.103 11.038 10.272 4.558 6.000 7.911 0.955 5.052 8.909 19.487 4.717 9.925 3.707 10.864 12.390 15.432 2.005 28.030 3.344 8.133 7.246 9.724 5.731

-100.745 63.697 7.933 135.864 70.361 91.626 76.426 104.126 79.317 53.936 41.010 98.904 162.410 58.428 59.680 50.295 89.350 40.028 51.965 37.770 78.512 74.650 23.731 65.573 91.949 56.995

-8% 29% 48% 20% 16% 11% 6% 6% 10% 2% 12% 9% 12% 8% 17% 7% 12% 31% 30% 5% 36% 4% 34% 11% 11% 10%

-0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177

B' C' D' E' F' G' H'

4276.746 4260 4255.814 4253.55 4246.066 4243.51 4237.369

1960.920 2093.503 2142.593 2207.356 2265.902 2304.034 2326.919

293.672

1163.4595

Presion

97.15

A'B' B'C' C'D' D'E' E'F' F'G' G'H'

1.219 16.746 4.186 2.264 7.484 2.556 6.141

62.914 132.583 49.090 64.763 58.546 38.132 22.885

2% 13% 9% 3% 13% 7% 27%

0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177

𝐷= √(2.63&�/ V=(𝑅^(2/3)∗�^(1/2 ((0.2785∗𝐶∗�^0.54 ) )) ))/𝑛

0.666666667 331444.663

Velocidad (m/s)

Hf (m)

-2.04 2.78 3.55 2.29 2.03 1.72 1.25 1.23 1.62 0.68 1.80 1.54 1.78 1.46 2.09 1.39 1.79 2.86 2.80 1.18 3.07 1.09 3.01 1.71 1.67 1.63

-6.07 12.49 2.53 18.07 7.36 6.85 3.04 4.00 5.27 0.64 3.37 5.94 12.99 3.14 6.62 2.47 7.24 8.26 10.29 1.34 18.69 2.23 5.42 4.83 6.48 3.82

0.71 1.82 1.50 0.96 1.84 1.33 2.66

0.81 11.16 2.79 1.51 4.99 1.70 4.09 196.52

C Rh1 Rh2 D1 D2 Re f u p n Q

Densidad

140 0.0225 0.0184 0.09 0.0736 344200 0.02414 0.001003 1000 0.011 63.59410988

𝐷= √(2.63&�/ ((0.2785∗𝐶∗�^0.5 SDR11 SDR 11

90 75.8

m3/H

TABLA 1 PI

Elevación

Progresiva

Tramo

Dif. Elev

Longitud

Pend.

Caudal (m3/s)

136.545 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z A'

4531.041 4523.032 4504.299 4500.498 4473.395 4462.357 4452.085 4447.527 4441.527 4433.616 4432.661 4427.609 4418.7 4399.213 4394.496 4384.571 4380.864 4370 4357.61 4342.178 4340.173 4312.143 4308.799 4300.666 4293.42 4283.696 4277.965

32.725 133.470 197.167 205.100 340.964 411.325 502.951 579.377 683.503 762.820 816.756 857.766 956.670 1119.080 1177.508 1237.188 1287.483 1376.833 1416.861 1468.826 1506.596 1585.108 1659.758 1683.489 1749.062 1841.011 1898.006

-AB BC CD DE EF FG GH HI IJ JK KL LM MN NO OP PQ QR RS ST TU UV VW WX XY YZ ZA'

-8.009 18.733 3.801 27.103 11.038 10.272 4.558 6.000 7.911 0.955 5.052 8.909 19.487 4.717 9.925 3.707 10.864 12.390 15.432 2.005 28.030 3.344 8.133 7.246 9.724 5.731

-100.745 63.697 7.933 135.864 70.361 91.626 76.426 104.126 79.317 53.936 41.010 98.904 162.410 58.428 59.680 50.295 89.350 40.028 51.965 37.770 78.512 74.650 23.731 65.573 91.949 56.995

-8% 29% 48% 20% 16% 11% 6% 6% 10% 2% 12% 9% 12% 8% 17% 7% 12% 31% 30% 5% 36% 4% 34% 11% 11% 10%

-0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177

B' C' D' E' F' G' H'

4276.746 4260 4255.814 4253.55 4246.066 4243.51 4237.369

1960.920 2093.503 2142.593 2207.356 2265.902 2304.034 2326.919

293.672

1163.4595

Presion

99.51

A'B' B'C' C'D' D'E' E'F' F'G' G'H'

1.219 16.746 4.186 2.264 7.484 2.556 6.141

62.914 132.583 49.090 64.763 58.546 38.132 22.885

2% 13% 9% 3% 13% 7% 27%

0.0177 0.0177 0.0177 0.0177 0.0177 0.0177 0.0177

V=(𝑅^(2/3)∗�^(1/2) )/𝑛

𝐷= √(2.63&�/ ((0.2785∗𝐶∗�^0.54 ) ))

331444.663

Velocidad (m/s) -2.04 3.53 4.50 2.91 2.58 2.18 1.59 1.56 2.06 0.87 2.28 1.95 2.25 1.85 2.65 1.77 2.27 3.62 3.55 1.50 3.89 1.38 3.81 2.16 2.12 2.06

Factor de friccion (f) 0.022774521 0.02213879 0.021940973 0.022330423 0.022466721 0.022682971 0.023183234 0.023214472 0.022765862 0.024591099 0.022619097 0.022841553 0.022636688 0.022926648 0.022432283 0.023000434 0.022627803 0.022115934 0.022134405 0.023290755 0.022054909 0.023456958 0.022071985 0.022692973 0.022723822 0.022759967

Re (Reinols)

Hf (m)

149161.59 257660.91 328877.81 212207.56 188184.37 159082.53 116030.18 114051.34 150050.32 63221.77 166759.72 142597.50 164577.50 134997.83 193756.02 128989.17 165673.09 264337.07 258916.66 109468.22 283888.56 100559.38 278145.30 157939.59 154508.84 150661.12

-5.43 12.17 2.45 17.76 7.28 6.84 3.10 4.09 5.29 0.69 3.35 5.97 12.95 3.17 6.53 2.50 7.22 8.04 10.03 1.37 18.15 2.30 5.27 4.83 6.49 3.83

0.91 2.31 1.90 1.22 2.33 1.68 3.37

0.024462511 0.022602599 0.022883652 0.023721001 0.022594735 0.0230804 0.022181074

66135.18 168855.80 138741.84 88833.97 169872.33 123009.88 246120.88

0.88 11.11 2.81 1.58 4.96 1.73 4.00 194.16

C Rh1 Rh2 D1 D2 Re f u p

Densidad

𝐷= √(2.63&�/ ((0.2785∗𝐶∗�^0.5

140 0.02135 0.0122 0.0854 0.04880 344200 0.02414 0.001003 1000

TABLA 1 PI

Elevación

Progresiva

Tramo

Dif. Elev

Longitud

Pend.

Caudal (m3/s)

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z A'

4531.041 4523.032 4504.299 4500.498 4473.395 4462.357 4452.085 4447.527 4441.527 4433.616 4432.661 4427.609 4418.7 4399.213 4394.496 4384.571 4380.864 4370 4357.61 4342.178 4340.173 4312.143 4308.799 4300.666 4293.42 4283.696 4277.965

32.725 133.470 197.167 205.100 340.964 411.325 502.951 579.377 683.503 762.820 816.756 857.766 956.670 1119.080 1177.508 1237.188 1287.483 1376.833 1416.861 1468.826 1506.596 1585.108 1659.758 1683.489 1749.062 1841.011 1898.006

-AB BC CD DE EF FG GH HI IJ JK KL LM MN NO OP PQ QR RS ST TU UV VW WX XY YZ ZA'

-8.009 18.733 3.801 27.103 11.038 10.272 4.558 6.000 7.911 0.955 5.052 8.909 19.487 4.717 9.925 3.707 10.864 12.390 15.432 2.005 28.030 3.344 8.133 7.246 9.724 5.731

-100.745 63.697 7.933 135.864 70.361 91.626 76.426 104.126 79.317 53.936 41.010 98.904 162.410 58.428 59.680 50.295 89.350 40.028 51.965 37.770 78.512 74.650 23.731 65.573 91.949 56.995

-8% 29% 48% 20% 16% 11% 6% 6% 10% 2% 12% 9% 12% 8% 17% 7% 12% 31% 30% 5% 36% 4% 34% 11% 11% 10%

-0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154

B' C' D' E' F' G' H'

4276.746 4260 4255.814 4253.55 4246.066 4243.51 4237.369

1960.920 2093.503 2142.593 2207.356 2265.902 2304.034 2326.919

A'B' B'C' C'D' D'E' E'F' F'G' G'H'

1.219 16.746 4.186 2.264 7.484 2.556 6.141

62.914 132.583 49.090 64.763 58.546 38.132 22.885

2% 13% 9% 3% 13% 7% 27%

0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154

V=(𝑅^(2/3)∗�^(1/2) )/𝑛

𝐷= √(2.63&�/ ((0.2785∗𝐶∗�^0.54 ) ))

Velocidad (m/s) -2.69 3.82 4.98 3.10 2.72 2.27 1.62 1.59 2.13 0.84 2.39 2.02 2.36 1.90 2.81 1.81 2.37 3.93 3.85 1.52 4.25 1.38 4.15 2.25 2.20 2.14

Factor de friccion (f)

Re (Reinols)

Hf (m)

0.02160 0.02461 0.02438 0.02484 0.02500 0.02527 0.02589 0.02592 0.02537 0.02770 0.02519 0.02546

228617.51 186101.38 242222.51 150910.30 132546.24 110552.73 78623.76 77176.59 103789.41 40808.74 116325.68 98233.14 114682.53 92591.28 136789.51 88148.45 115507.26 191314.50 187081.12 73832.62 206641.19 67364.88 202129.93 109695.15 107124.00 104245.77

-9.37 23.98 5.01 33.94 13.65 12.50 5.40 7.10 9.57 1.10 6.17 10.73 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.88 2.42 1.96 1.21 2.44 1.72 3.64

42843.44 117905.60 95367.68 58922.69 118672.37 83743.74 177115.88

0.00 0.00 0.00 0.00 0.00 0.00 0.00 138.53

Q (Caudal) C Coef. R. 140 Rh R hidraulico 0.01745 D1 Diametro 1 0.0854 A1 Area 1 0.005728048 D2 Diamtetro 2 0.0488 A2 Area 2 0.001870383 Re Reinols 344200 f Friccion 0.02414

𝐷= √(2.63&�/ ((0.2785∗𝐶∗�^0.5

0.04880 55.3979

TABLA 1 PI

Elevación

Progresiva

Tramo

Dif. Elev

Longitud

Pend.

Caudal (m3/s)

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

4531.041 4523.032 4504.299 4500.498 4473.395 4462.357 4452.085 4447.527 4441.527 4433.616 4432.661 4427.609 4418.7 4399.213 4394.496 4384.571 4380.864 4370 4357.61 4342.178 4340.173 4312.143 4308.799 4300.666 4293.42 4283.696

32.725 133.470 197.167 205.100 340.964 411.325 502.951 579.377 683.503 762.820 816.756 857.766 956.670 1119.080 1177.508 1237.188 1287.483 1376.833 1416.861 1468.826 1506.596 1585.108 1659.758 1683.489 1749.062 1841.011

-AB BC CD DE EF FG GH HI IJ JK KL LM MN NO OP PQ QR RS ST TU UV VW WX XY YZ

-8.009 18.733 3.801 27.103 11.038 10.272 4.558 6.000 7.911 0.955 5.052 8.909 19.487 4.717 9.925 3.707 10.864 12.390 15.432 2.005 28.030 3.344 8.133 7.246 9.724

-100.745 63.697 7.933 135.864 70.361 91.626 76.426 104.126 79.317 53.936 41.010 98.904 162.410 58.428 59.680 50.295 89.350 40.028 51.965 37.770 78.512 74.650 23.731 65.573 91.949

-8% 29% 48% 20% 16% 11% 6% 6% 10% 2% 12% 9% 12% 8% 17% 7% 12% 31% 30% 5% 36% 4% 34% 11% 11%

-0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154

A' B' C' D' E' F' G' H'

4277.965 4276.746 4260 4255.814 4253.55 4246.066 4243.51 4237.369

1898.006 1960.920 2093.503 2142.593 2207.356 2265.902 2304.034 2326.919

ZA' A'B' B'C' C'D' D'E' E'F' F'G' G'H'

5.731 1.219 16.746 4.186 2.264 7.484 2.556 6.141

56.995 62.914 132.583 49.090 64.763 58.546 38.132 22.885

10% 2% 13% 9% 3% 13% 7% 27%

0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154 0.0154

𝐷= √(2.63&�/ ((0.2785∗𝐶∗�^0.54 ) ))

�=�/� (m/s)

Velocidad (m/s)

Hf (m)

-2.69 8.23 8.23 8.23 8.23 8.23 8.23 8.23 8.23 8.23 8.23 8.23 8.23 8.23 8.23 8.23 8.23 8.23 8.23 8.23 8.23 8.23 8.23 8.23 8.23

-10.49 108.82 13.55 232.11 120.20 156.53 130.56 177.89 135.50 92.14 70.06 168.96 277.46 99.82 101.96 85.92 152.64 68.38 88.78 64.53 134.13 127.53 40.54 112.02 157.08

8.23 8.23 8.23 8.23 8.23 8.23 8.23 8.23

97.37 107.48 226.50 83.86 110.64 100.02 65.14 39.10 3757.71