Hoja1

APLICACIN DEL METOD DE HARDY CROSS1LAZO O CIRCUITOTRAMODIAMETROLONGITUDCOEF.CAUDAL SUPUESTOPERDIDA DE CARGAh/QOQQ1 (Lt/s)D (m)L (m)C1QO (Lt/s)J (m/1000m)h (m)Para el esquema y la informacion mostrada se pide:Q1AB0.7012601002801.151.4470.0052-20.39259.633BE0.5616801001400.941.5870.0113-72.4667.5L1L1Q1EF0.561260100-1400.94-1.1900.0085-27.61-167.6 L2ABC L2DESCRIPCIONCUEVAUNIDADFA0.841680100-2800.47-0.7940.0028-20.39-300.4FLUIDOH20 =1.0500.0278-20.3912COEFICIENTE 100.00422H. ELEVAC. A84.00m2BC0.7012601001400.320.4010.002952.08192.1H. ELEVAC. I42.00mCD0.561680100840.370.6170.007352.08136.1H. PRESION A63.00mDE0.421260100-1403.83-4.8320.0345102.52-37.5L11260.00mEB0.561680100-1400.94-1.5870.011372.46-67.5L21680.00m =-5.4010.056152.08FEDQ2142.00cm L221 L2256.00cm3FE0.5612601001400.941.1900.008527.61167.6Q6370.00cmEH0.8416801001120.090.1460.001357.67169.7484.00cmHG0.561260100-280.05-0.0610.00227.23-20.8Q560.00lts/segGF0.561680100-1400.94-1.5870.01137.23-132.8241Q156.00lts/seg =-0.3120.02337.2334Q2140.00lts/segQ3112.00lts/seg4ED0.4212601001403.834.8320.0345-102.5237.5Q4112.00lts/segDI0.421680100841.492.5040.0298-50.4433.6GHIQ5112.00lts/segIH0.421260100-280.20-0.2460.0088-50.44-78.4L1L1Q628.00lts/segHE0.841680100-1120.09-0.1460.0013-57.67-169.721Q3 =6.9440.0744-50.44Q5Q4

CALCULAR:2LAZO O CIRCUITOTRAMODIAMETROLONGITUDCOEF.CAUDAL SUPUESTOPERDIDA DE CARGAh/Q1QQ2 (Lt/s)1.-Los caudales a traves de la red de tuberiasD (m)L (m)C1Q1 (Lt/s)J (m/1000m)h (m)2.-La altura de presion en I1AB0.701260100259.61.001.2580.004820.27279.9BE0.56168010067.50.240.4110.006143.67111.21.-EN LA 13va ITERACION OBTUVIMOS LOS CAUDALES A TRAVS DE LA RED DE TUBERIA LOS CUALES SON :EF0.561260100-167.61.32-1.6600.009931.41-136.2FA0.841680100-300.40.54-0.9040.003020.27-280.1 =-0.8950.023920.27CIRCUITO 1Q(Lt/s)CIRCUITO 2Q (Lt/s)CIRCUITO 3Q(Lt/s)CIRCUITO 4Q (Lt/s)AB272.4BC176.2FE149.0ED60.32BC0.701260100192.10.570.7210.0038-23.39168.7BE96.4CD120.2EH157.1DI40.5CD0.561680100136.10.901.5060.0111-23.39112.7EF-149.0DE-60.2HG-26.4IH-71.5DE0.421260100-37.50.34-0.4220.0113-35.64-73.1FA-287.6EB-96.4GF-138.4HE-157.1EB0.561680100-67.50.24-0.4110.0061-43.67-111.2 =1.3930.0322-23.392.-LA ALTURA DE PRESION EN I ES :3FE0.561260100167.61.321.6600.0099-31.41136.2La alturapiezometrica en A es: 84 + 63 = 147mEH0.841680100169.70.190.3140.0019-23.39146.3HG0.561260100-20.80.03-0.0350.0017-11.14-31.9GF0.561680100-132.80.86-1.4390.0108-11.14-143.9Calculamos la perdida de carga de A a I , utilizando en el camino AFEHI =0.5000.0243-11.14

AF0.8344ED0.42126010037.50.340.4220.011335.6473.1FE1.335DI0.42168010033.60.270.4600.013712.2545.9EH0.272IH0.421260100-78.41.31-1.6530.021112.25-66.1HI1.394HE0.841680100-169.70.19-0.3140.001923.39-146.3 =3.835m =-1.0850.047912.25

Entonces la altura piezometrica en I sera :147 - 3.835 = 143.165 m3LAZO O CIRCUITOTRAMODIAMETROLONGITUDCOEF.CAUDAL SUPUESTOPERDIDA DE CARGAh/Q2QQ3 (Lt/s)D (m)L (m)C1Q2 (Lt/s)J (m/1000m)h (m)Entonces la presion en I sera :143.165 - 30 = 113.165 m1AB0.701260100279.91.151.4460.0052-11.75268.2BE0.561680100111.20.621.0360.0093-22.8288.4EF0.561260100-136.20.90-1.1310.0083-20.25-156.4FA0.841680100-280.10.47-0.7940.0028-11.75-291.8 =0.5570.0256-11.75

2BC0.701260100168.70.450.5670.003411.07179.8CD0.561680100112.70.631.0620.009411.07123.8DE0.421260100-73.11.15-1.4520.019918.83-54.3EB0.561680100-111.20.62-1.0360.009322.82-88.4 =-0.8600.042011.07

3FE0.561260100136.20.901.1310.008320.25156.4EH0.841680100146.30.140.2390.001616.26162.6HG0.561260100-31.90.06-0.0770.00248.50-23.4GF0.561680100-143.90.99-1.6690.01168.50-135.4 =-0.3770.02408.50

4ED0.42126010073.11.151.4520.0199-18.8354.3DI0.42168010045.90.490.8190.0178-7.7638.1IH0.421260100-66.10.96-1.2050.0182-7.76-73.9HE0.841680100-146.30.14-0.2390.0016-16.26-162.6 =0.8270.0576-7.76

4LAZO O CIRCUITOTRAMODIAMETROLONGITUDCOEF.CAUDAL SUPUESTOPERDIDA DE CARGAh/Q3QQ4 (Lt/s)D (m)L (m)C1Q3 (Lt/s)J (m/1000m)h (m)

1AB0.701260100268.21.061.3360.00506.58274.8BE0.56168010088.40.400.6780.007712.24100.6EF0.561260100-156.41.16-1.4610.009311.45-145.0FA0.841680100-291.80.51-0.8570.00296.58-285.2 =-0.3040.02496.58

2BC0.701260100179.80.510.6380.0035-5.66174.1CD0.561680100123.80.751.2640.0102-5.66118.1DE0.421260100-54.30.66-0.8380.0154-9.31-63.6EB0.561680100-88.40.40-0.6780.0077-12.24-100.6 =0.3860.0369-5.66

3FE0.561260100156.41.161.4610.0093-11.45145.0EH0.841680100162.60.170.2900.0018-8.51154.1HG0.561260100-23.40.03-0.0430.0019-4.87-28.3GF0.561680100-135.40.89-1.4920.0110-4.87-140.3 =0.2160.0240-4.87

4ED0.42126010054.30.660.8380.01549.3163.6DI0.42168010038.10.350.5800.01523.6541.7IH0.421260100-73.91.18-1.4820.02013.65-70.3HE0.841680100-162.60.17-0.2900.00188.51-154.1 =-0.3540.05253.65

5LAZO O CIRCUITOTRAMODIAMETROLONGITUDCOEF.CAUDAL SUPUESTOPERDIDA DE CARGAh/Q4QQ5 (Lt/s)D (m)L (m)C1Q4 (Lt/s)J (m/1000m)h (m)

1AB0.701260100274.81.111.3970.0051-3.58271.2BE0.561680100100.60.510.8610.0086-6.6593.9EF0.561260100-145.01.01-1.2700.0088-6.33-151.3FA0.841680100-285.20.49-0.8210.0029-3.58-288.8 =0.1670.0253-3.58

2BC0.701260100174.10.480.6010.00353.07177.2CD0.561680100118.10.691.1580.00983.07121.2DE0.421260100-63.60.89-1.1230.01764.98-58.6EB0.561680100-100.60.51-0.8610.00866.65-93.9 =-0.2240.03953.07

3FE0.561260100145.01.011.2700.00886.33151.3EH0.841680100154.10.160.2630.00174.65158.8HG0.561260100-28.30.05-0.0620.00222.75-25.6GF0.561680100-140.30.95-1.5930.01142.75-137.6 =-0.1220.02402.75

4ED0.42126010063.60.891.1230.0176-4.9858.6DI0.42168010041.70.410.6850.0164-1.9139.8IH0.421260100-70.31.07-1.3510.0192-1.91-72.2HE0.841680100-154.10.16-0.2630.0017-4.65-158.8 =0.1940.0550-1.91

6LAZO O CIRCUITOTRAMODIAMETROLONGITUDCOEF.CAUDAL SUPUESTOPERDIDA DE CARGAh/Q5QQ6 (Lt/s)D (m)L (m)C1Q5 (Lt/s)J (m/1000m)h (m)

1AB0.701260100271.21.081.3640.00501.99273.2BE0.56168010093.90.450.7580.00813.6597.5EF0.561260100-151.31.09-1.3740.00913.43-147.9FA0.841680100-288.80.50-0.8400.00291.99-286.8 =-0.0930.02511.99

2BC0.701260100177.20.490.6210.0035-1.65175.5CD0.561680100121.20.721.2150.0100-1.65119.5DE0.421260100-58.50.76-0.9620.0164-2.70-61.2EB0.561680100-93.90.45-0.7580.0081-3.65-97.5 =0.1160.0380-1.65

3FE0.561260100151.31.091.3740.0091-3.43147.9EH0.841680100158.80.170.2780.0018-2.48156.3HG0.561260100-25.60.04-0.0510.0020-1.43-27.0GF0.561680100-137.60.91-1.5370.0112-1.43-139.0 =0.0640.0240-1.43

4ED0.42126010058.60.770.9650.01652.7061.3DI0.42168010039.80.370.6290.01581.0540.8IH0.421260100-72.21.13-1.4190.01971.05-71.2HE0.841680100-158.80.17-0.2780.00182.48-156.3 =-0.1040.05371.05

7LAZO O CIRCUITOTRAMODIAMETROLONGITUDCOEF.CAUDAL SUPUESTOPERDIDA DE CARGAh/Q6QQ7 (Lt/s)D (m)L (m)C1Q6 (Lt/s)J (m/1000m)h (m)

1AB0.701260100273.21.101.3820.0051-1.03272.2BE0.56168010097.50.480.8120.0083-1.9395.6EF0.561260100-147.91.05-1.3170.0089-1.83-149.7FA0.841680100-286.80.49-0.8300.0029-1.03-287.8 =0.0480.0252-1.03

2BC0.701260100175.50.480.6100.00350.90176.4CD0.561680100119.50.701.1840.00990.90120.4DE0.421260100-61.20.83-1.0450.01711.43-59.8EB0.561680100-97.50.48-0.8120.00831.93-95.6 =-0.0640.03880.90

3FE0.561260100147.91.051.3170.00891.83149.7EH0.841680100156.30.160.2700.00171.33157.6HG0.561260100-27.00.04-0.0570.00210.80-26.2GF0.561680100-139.00.93-1.5660.01130.80-138.2 =-0.0350.02400.80

4ED0.42126010061.30.831.0490.0171-1.4359.9DI0.42168010040.80.390.6580.0161-0.5340.3IH0.421260100-71.21.10-1.3830.0194-0.53-71.7HE0.841680100-156.30.16-0.2700.0017-1.33-157.6 =0.0540.0544-0.53

8LAZO O CIRCUITOTRAMODIAMETROLONGITUDCOEF.CAUDAL SUPUESTOPERDIDA DE CARGAh/Q7QQ8 (Lt/s)D (m)L (m)C1Q7 (Lt/s)J (m/1000m)h (m)

1AB0.701260100272.21.091.3730.00500.55272.7BE0.56168010095.60.470.7830.00820.9896.6EF0.561260100-149.71.07-1.3470.00900.96-148.7FA0.841680100-287.80.50-0.8350.00290.55-287.3 =-0.0260.02510.55

2BC0.701260100176.40.490.6150.0035-0.43176.0CD0.561680100120.40.711.2000.0100-0.43120.0DE0.421260100-59.80.79-1.0020.0167-0.70-60.5EB0.561680100-95.60.47-0.7830.0082-0.98-96.6 =0.0310.0384-0.43

3FE0.561260100149.71.071.3470.0090-0.96148.7EH0.841680100157.60.160.2740.0017-0.69156.9HG0.561260100-26.20.04-0.0540.0020-0.41-26.6GF0.561680100-138.20.92-1.5490.0112-0.41-138.6 =0.0180.0240-0.41

4ED0.42126010059.90.801.0050.01680.7060.6DI0.42168010040.30.380.6430.01600.2740.6IH0.421260100-71.71.11-1.4010.01950.27-71.4HE0.841680100-157.60.16-0.2740.00170.69-156.9 =-0.0270.05400.27

9LAZO O CIRCUITOTRAMODIAMETROLONGITUDCOEF.CAUDAL SUPUESTOPERDIDA DE CARGAh/Q8QQ9 (Lt/s)D (m)L (m)C1Q8 (Lt/s)J (m/1000m)h (m)

1AB0.701260100272.71.091.3780.0051-0.29272.4BE0.56168010096.60.480.7990.0083-0.5296.1EF0.561260100-148.71.06-1.3300.0089-0.52-149.2FA0.841680100-287.30.50-0.8320.0029-0.29-287.6 =0.0140.0252-0.29

2BC0.701260100176.00.490.6130.00350.23176.2CD0.561680100120.00.711.1930.00990.23120.2DE0.421260100-60.50.81-1.0230.01690.39-60.1EB0.561680100-96.60.48-0.7990.00830.52-96.1 =-0.0160.03860.23

3FE0.561260100148.71.061.3300.00890.52149.2EH0.841680100156.90.160.2720.00170.40157.3HG0.561260100-26.60.04-0.0550.00210.23-26.4GF0.561680100-138.60.93-1.5570.01120.23-138.4 =-0.0100.02400.23

4ED0.42126010060.60.811.0270.0169-0.3960.2DI0.42168010040.60.390.6520.0161-0.1740.4IH0.421260100-71.41.10-1.3900.0195-0.17-71.6HE0.841680100-156.90.16-0.2720.0017-0.40-157.3 =0.0170.0542-0.17

10LAZO O CIRCUITOTRAMODIAMETROLONGITUDCOEF.CAUDAL SUPUESTOPERDIDA DE CARGAh/Q9QQ10 (Lt/s)D (m)L (m)C1Q9 (Lt/s)J (m/1000m)h (m)

1AB0.701260100272.41.091.3750.00500.14272.5BE0.56168010096.10.470.7910.00820.2796.4EF0.561260100-149.21.06-1.3390.00900.24-149.0FA0.841680100-287.60.50-0.8340.00290.14-287.5 =-0.0070.02520.14

2BC0.701260100176.20.490.6140.0035-0.12176.1CD0.561680100120.20.711.1970.0100-0.12120.1DE0.421260100-60.10.80-1.0110.0168-0.23-60.3EB0.561680100-96.10.47-0.7910.0082-0.27-96.4 =0.0090.0385-0.12

3FE0.561260100149.21.061.3390.0090-0.24149.0EH0.841680100157.30.160.2730.0017-0.20157.1HG0.561260100-26.40.04-0.0540.0021-0.09-26.5GF0.561680100-138.40.92-1.5530.0112-0.09-138.5 =0.0040.0240-0.09

4ED0.42126010060.20.801.0140.01680.2360.4DI0.42168010040.40.380.6460.01600.1040.5IH0.421260100-71.61.11-1.3980.01950.10-71.5HE0.841680100-157.30.16-0.2730.00170.20-157.1 =-0.0100.05410.10

11LAZO O CIRCUITOTRAMODIAMETROLONGITUDCOEF.CAUDAL SUPUESTOPERDIDA DE CARGAh/Q10QQ11 (Lt/s)D (m)L (m)C1Q10 (Lt/s)J (m/1000m)h (m)

1AB0.701260100272.51.091.3760.0050-0.06272.4BE0.56168010096.40.470.7960.0083-0.1296.3EF0.561260100-149.01.06-1.3350.0090-0.11-149.1FA0.841680100-287.50.50-0.8330.0029-0.06-287.6 =0.0030.0252-0.06

2BC0.701260100176.10.490.6140.00350.06176.2CD0.561680100120.10.711.1950.00990.06120.2DE0.421260100-60.30.81-1.0170.01690.09-60.2EB0.561680100-96.40.47-0.7960.00830.12-96.3 =-0.0040.03860.06

3FE0.561260100149.01.061.3350.00900.11149.1EH0.841680100157.10.160.2720.00170.08157.2HG0.561260100-26.50.04-0.0550.00210.05-26.4GF0.561680100-138.50.93-1.5550.01120.05-138.4 =-0.0020.02400.05

4ED0.42126010060.40.811.0200.0169-0.0960.3DI0.42168010040.50.390.6490.0160-0.0340.5IH0.421260100-71.51.11-1.3940.0195-0.03-71.5HE0.841680100-157.10.16-0.2720.0017-0.08-157.2 =0.0030.0542-0.03

12LAZO O CIRCUITOTRAMODIAMETROLONGITUDCOEF.CAUDAL SUPUESTOPERDIDA DE CARGAh/Q11QQ12 (Lt/s)D (m)L (m)C1Q11 (Lt/s)J (m/1000m)h (m)

1AB0.701260100272.41.091.3750.00500.04272.4BE0.56168010096.30.470.7940.00820.0896.4EF0.561260100-149.11.06-1.3370.00900.09-149.0FA0.841680100-287.60.50-0.8340.00290.04-287.6 =-0.0020.02520.04

2BC0.701260100176.20.490.6140.0035-0.04176.2CD0.561680100120.20.711.1970.0100-0.04120.2DE0.421260100-60.20.80-1.0140.0168-0.04-60.2EB0.561680100-96.30.47-0.7940.0082-0.08-96.4 =0.0030.0385-0.04

3FE0.561260100149.11.061.3370.0090-0.09149.0EH0.841680100157.20.160.2730.0017-0.05157.1HG0.561260100-26.40.04-0.0540.0021-0.05-26.4GF0.561680100-138.40.92-1.5530.0112-0.05-138.4 =0.0020.0240-0.05

4ED0.42126010060.30.811.0170.01690.0460.3DI0.42168010040.50.390.6490.01600.0040.5IH0.421260100-71.51.11-1.3940.01950.00-71.5HE0.841680100-157.20.16-0.2730.00170.05-157.1 =-0.0000.05410.00

13LAZO O CIRCUITOTRAMODIAMETROLONGITUDCOEF.CAUDAL SUPUESTOPERDIDA DE CARGAh/Q12QQ13 (Lt/s)D (m)L (m)C1Q12 (Lt/s)J (m/1000m)h (m)

1AB0.701260100272.41.091.3750.0050-0.03272.4BE0.56168010096.40.470.7960.0083-0.0196.4EF0.561260100-149.01.06-1.3350.0090-0.02-149.0FA0.841680100-287.60.50-0.8340.0029-0.03-287.6 =0.0010.0252-0.03

2BC0.701260100176.20.490.6140.0035-0.02176.2CD0.561680100120.20.711.1970.0100-0.02120.2DE0.421260100-60.20.80-1.0140.0168-0.02-60.2EB0.561680100-96.40.47-0.7960.00830.01-96.4 =0.0010.0385-0.02

3FE0.561260100149.01.061.3350.00900.02149.0EH0.841680100157.10.160.2720.0017-0.00157.1HG0.561260100-26.40.04-0.0540.0021-0.01-26.4GF0.561680100-138.40.92-1.5530.0112-0.01-138.4 =0.0000.0240-0.01

4ED0.42126010060.30.811.0170.01690.0260.3DI0.42168010040.50.390.6490.0160-0.0040.5IH0.421260100-71.51.11-1.3940.0195-0.00-71.5HE0.841680100-157.10.16-0.2720.00170.00-157.1 =0.0000.0541-0.00RPTA: En la iteracion N 13 el caudal supuesto y el caudal obtenido son iguales

Hoja2