ejerccio del examen

66
TRAMO DIAMETRO LONGITUD C Pérdida d D(m) m (lps) J(m/1000m) 1 1-2 0.40 400.00 140.00 193.00 4.7317 2-3 0.40 2000.00 140.00 143.00 2.7163 3-4 0.40 400.00 140.00 93.00 1.2249 4-12 0.40 500.00 140.00 106.00 1.5606 12-9 0.25 200.00 140.00 34.00 1.8771 9-8 0.25 500.00 140.00 4.00 0.0357 8-7 0.25 500.00 140.00 -33.00 1.7762 7-10 0.25 200.00 140.00 -63.00 5.8789 10-1 0.40 500.00 140.00 -194.00 4.7772 Σ 2 1-6 0.40 400.00 140.00 -193.00 4.7317 6-5 0.40 2000.00 140.00 -143.00 2.7163 5-4 0.40 400.00 140.00 -93.00 1.2249 4-12 0.40 500.00 140.00 -106.00 1.5606 12-15 0.25 200.00 140.00 -34.00 1.8771 15-14 0.25 500.00 140.00 -4.00 0.0357 14-13 0.25 500.00 140.00 33.00 1.7762 13-10 0.25 200.00 140.00 63.00 5.8789 10-1 0.40 500.00 140.00 194.00 4.7772 Σ 3 10-7 0.25 200.00 140.00 63.00 5.8789 7-8 0.25 500.00 140.00 33.00 1.7762 8-11 0.25 200.00 140.00 -13.00 0.3167 11-10 0.30 500.00 140.00 -68.00 2.7861 Σ 4 11-8 0.25 200.00 140.00 13.00 0.3167 8-9 0.25 500.00 140.00 -4.00 0.0357 9-12 0.25 200.00 140.00 -34.00 1.8771 12-11 0.30 500.00 140.00 38.00 0.9489 Σ 13-10 0.25 200.00 140.00 -63.00 5.8789 LAZO O CIRCUITO Caudal supuesto

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Page 1: Ejerccio Del Examen

TRAMODIAMETRO LONGITUD C Pérdida de carga

D(m) m (lps) J(m/1000m) h(m)

1

1-2 0.40 400.00 140.00 193.00 4.7317 1.89272-3 0.40 2000.00 140.00 143.00 2.7163 5.43263-4 0.40 400.00 140.00 93.00 1.2249 0.4900

4-12 0.40 500.00 140.00 106.00 1.5606 0.780312-9 0.25 200.00 140.00 34.00 1.8771 0.37549-8 0.25 500.00 140.00 4.00 0.0357 0.01798-7 0.25 500.00 140.00 -33.00 1.7762 -0.8881

7-10 0.25 200.00 140.00 -63.00 5.8789 -1.175810-1 0.40 500.00 140.00 -194.00 4.7772 -2.3886

Σ 4.5364

2

1-6 0.40 400.00 140.00 -193.00 4.7317 -1.89276-5 0.40 2000.00 140.00 -143.00 2.7163 -5.43265-4 0.40 400.00 140.00 -93.00 1.2249 -0.4900

4-12 0.40 500.00 140.00 -106.00 1.5606 -0.780312-15 0.25 200.00 140.00 -34.00 1.8771 -0.375415-14 0.25 500.00 140.00 -4.00 0.0357 -0.017914-13 0.25 500.00 140.00 33.00 1.7762 0.888113-10 0.25 200.00 140.00 63.00 5.8789 1.175810-1 0.40 500.00 140.00 194.00 4.7772 2.3886

Σ -4.5364

3

10-7 0.25 200.00 140.00 63.00 5.8789 1.17587-8 0.25 500.00 140.00 33.00 1.7762 0.8881

8-11 0.25 200.00 140.00 -13.00 0.3167 -0.063311-10 0.30 500.00 140.00 -68.00 2.7861 -1.3931

Σ 0.6075

4

11-8 0.25 200.00 140.00 13.00 0.3167 0.06338-9 0.25 500.00 140.00 -4.00 0.0357 -0.0179

9-12 0.25 200.00 140.00 -34.00 1.8771 -0.375412-11 0.30 500.00 140.00 38.00 0.9489 0.4744

Σ 0.1445

5

13-10 0.25 200.00 140.00 -63.00 5.8789 -1.1758

LAZO O CIRCUITO

Caudal supuesto

Page 2: Ejerccio Del Examen

510-11 0.30 500.00 140.00 68.00 2.7861 1.393111-14 0.25 200.00 140.00 13.00 0.3167 0.063314-13 0.25 500.00 140.00 -33.00 1.7762 -0.8881

Σ -0.6075

6

14-11 0.25 200.00 140.00 -13.00 0.3167 -0.063311-12 0.30 500.00 140.00 -38.00 0.9489 -0.474412-15 0.25 200.00 140.00 34.00 1.8771 0.375415-14 0.25 500.00 140.00 4.00 0.0357 0.0179

Σ -0.1445

TRAMODIAMETRO LONGITUD C Pérdida de carga

D(m) m (lps) J(m/1000m) h(m)

1

1-2 0.40 400.00 140.00 174.68 3.9339 1.57362-3 0.40 2000.00 140.00 124.68 2.1074 4.21483-4 0.40 400.00 140.00 74.68 0.8160 0.3264

4-12 0.40 500.00 140.00 69.35 0.7116 0.355812-9 0.25 200.00 140.00 18.05 0.5815 0.11639-8 0.25 500.00 140.00 -11.95 0.2709 -0.13548-7 0.25 500.00 140.00 -46.69 3.3769 -1.6885

7-10 0.25 200.00 140.00 -76.69 8.4608 -1.692210-1 0.40 500.00 140.00 -230.65 6.5806 -3.2903

Σ -0.2194

2

1-6 0.40 400.00 140.00 -174.68 3.9339 -1.57366-5 0.40 2000.00 140.00 -124.68 2.1074 -4.21485-4 0.40 400.00 140.00 -74.68 0.8160 -0.3264

4-12 0.40 500.00 140.00 -69.35 0.7116 -0.355812-15 0.25 200.00 140.00 -18.05 0.5815 -0.116315-14 0.25 500.00 140.00 11.95 0.2709 0.135414-13 0.25 500.00 140.00 46.69 3.3769 1.688513-10 0.25 200.00 140.00 76.69 8.4608 1.692210-1 0.40 500.00 140.00 230.65 6.5806 3.2903

Σ 0.2194

3

10-7 0.25 200.00 140.00 76.69 8.4608 1.69227-8 0.25 500.00 140.00 46.69 3.3769 1.6885

8-11 0.25 200.00 140.00 -15.25 0.4257 -0.0851

LAZO O CIRCUITO

Caudal supuesto

Page 3: Ejerccio Del Examen

3

11-10 0.30 500.00 140.00 -77.26 3.5287 -1.7643Σ 1.5311

4

11-8 0.25 200.00 140.00 15.25 0.4257 0.08518-9 0.25 500.00 140.00 11.95 0.2709 0.1354

9-12 0.25 200.00 140.00 -18.05 0.5815 -0.116312-11 0.30 500.00 140.00 33.25 0.7410 0.3705

Σ 0.4747

5

13-10 0.25 200.00 140.00 -76.69 8.4608 -1.692210-11 0.30 500.00 140.00 77.26 3.5287 1.764311-14 0.25 200.00 140.00 15.25 0.4257 0.085114-13 0.25 500.00 140.00 -46.69 3.3769 -1.6885

Σ -1.5311

6

14-11 0.25 200.00 140.00 -15.25 0.4257 -0.085111-12 0.30 500.00 140.00 -33.25 0.7410 -0.370512-15 0.25 200.00 140.00 18.05 0.5815 0.116315-14 0.25 500.00 140.00 -11.95 0.2709 -0.1354

Σ -0.4747

TRAMODIAMETRO LONGITUD C Pérdida de carga

D(m) m (lps) J(m/1000m) h(m)

1

1-2 0.40 400.00 140.00 175.51 3.9687 1.58752-3 0.40 2000.00 140.00 125.51 2.1335 4.26703-4 0.40 400.00 140.00 75.51 0.8330 0.3332

4-12 0.40 500.00 140.00 71.02 0.7436 0.371812-9 0.25 200.00 140.00 26.32 1.1688 0.23389-8 0.25 500.00 140.00 -3.68 0.0306 -0.01538-7 0.25 500.00 140.00 -36.31 2.1199 -1.0600

7-10 0.25 200.00 140.00 -66.31 6.4634 -1.292710-1 0.40 500.00 140.00 -228.98 6.4930 -3.2465

Σ 1.1788

2

1-6 0.40 400.00 140.00 -175.51 3.9687 -1.58756-5 0.40 2000.00 140.00 -125.51 2.1335 -4.26705-4 0.40 400.00 140.00 -75.51 0.8330 -0.3332

4-12 0.40 500.00 140.00 -71.02 0.7436 -0.371812-15 0.25 200.00 140.00 -26.32 1.1688 -0.233815-14 0.25 500.00 140.00 3.68 0.0306 0.0153

LAZO O CIRCUITO

Caudal supuesto

Page 4: Ejerccio Del Examen

2

14-13 0.25 500.00 140.00 36.31 2.1199 1.060013-10 0.25 200.00 140.00 66.31 6.4634 1.292710-1 0.40 500.00 140.00 228.98 6.4930 3.2465

Σ -1.1788

3

10-7 0.25 200.00 140.00 66.31 6.4634 1.29277-8 0.25 500.00 140.00 36.31 2.1199 1.0600

8-11 0.25 200.00 140.00 -17.37 0.5414 -0.108311-10 0.30 500.00 140.00 -96.36 5.3119 -2.6559

Σ -0.4116

4

11-8 0.25 200.00 140.00 17.37 0.5414 0.10838-9 0.25 500.00 140.00 3.68 0.0306 0.0153

9-12 0.25 200.00 140.00 -26.32 1.1688 -0.233812-11 0.30 500.00 140.00 18.37 0.2472 0.1236

Σ 0.0134

5

13-10 0.25 200.00 140.00 -66.31 6.4634 -1.292710-11 0.30 500.00 140.00 96.36 5.3119 2.655911-14 0.25 200.00 140.00 17.37 0.5414 0.108314-13 0.25 500.00 140.00 -36.31 2.1199 -1.0600

Σ 0.4116

6

14-11 0.25 200.00 140.00 -17.37 0.5414 -0.108311-12 0.30 500.00 140.00 -18.37 0.2472 -0.123612-15 0.25 200.00 140.00 26.32 1.1688 0.233815-14 0.25 500.00 140.00 -3.68 0.0306 -0.0153

Σ -0.0134

TRAMODIAMETRO LONGITUD C Pérdida de carga

D(m) m (lps) J(m/1000m) h(m)

1

1-2 0.40 400.00 140.00 170.55 3.7638 1.50552-3 0.40 2000.00 140.00 120.55 1.9802 3.96043-4 0.40 400.00 140.00 70.55 0.7346 0.2938

4-12 0.40 500.00 140.00 61.11 0.5630 0.281512-9 0.25 200.00 140.00 21.65 0.8138 0.16289-8 0.25 500.00 140.00 -8.35 0.1397 -0.06988-7 0.25 500.00 140.00 -43.96 3.0203 -1.5102

LAZO O CIRCUITO

Caudal supuesto

Page 5: Ejerccio Del Examen

1

7-10 0.25 200.00 140.00 -73.96 7.9113 -1.582310-1 0.40 500.00 140.00 -238.89 7.0227 -3.5113

Σ -0.4695

2

1-6 0.40 400.00 140.00 -170.55 3.7638 -1.50556-5 0.40 2000.00 140.00 -120.55 1.9802 -3.96045-4 0.40 400.00 140.00 -70.55 0.7346 -0.2938

4-12 0.40 500.00 140.00 -61.11 0.5630 -0.281512-15 0.25 200.00 140.00 -21.65 0.8138 -0.162815-14 0.25 500.00 140.00 8.35 0.1397 0.069814-13 0.25 500.00 140.00 43.96 3.0203 1.510213-10 0.25 200.00 140.00 73.96 7.9113 1.582310-1 0.40 500.00 140.00 238.89 7.0227 3.5113

Σ 0.4695

3

10-7 0.25 200.00 140.00 73.96 7.9113 1.58237-8 0.25 500.00 140.00 43.96 3.0203 1.5102

8-11 0.25 200.00 140.00 -14.39 0.3823 -0.076511-10 0.30 500.00 140.00 -90.97 4.7746 -2.3873

Σ 0.6287

4

11-8 0.25 200.00 140.00 14.39 0.3823 0.07658-9 0.25 500.00 140.00 8.35 0.1397 0.0698

9-12 0.25 200.00 140.00 -21.65 0.8138 -0.162812-11 0.30 500.00 140.00 17.82 0.2335 0.1167

Σ 0.1003

5

13-10 0.25 200.00 140.00 -73.96 7.9113 -1.582310-11 0.30 500.00 140.00 90.97 4.7746 2.387311-14 0.25 200.00 140.00 14.39 0.3823 0.076514-13 0.25 500.00 140.00 -43.96 3.0203 -1.5102

Σ -0.6287

6

14-11 0.25 200.00 140.00 -14.39 0.3823 -0.076511-12 0.30 500.00 140.00 -17.82 0.2335 -0.116712-15 0.25 200.00 140.00 21.65 0.8138 0.162815-14 0.25 500.00 140.00 -8.35 0.1397 -0.0698

Σ -0.1003

TRAMODIAMETRO LONGITUD C Pérdida de cargaLAZO O

CIRCUITO

Caudal supuesto

Page 6: Ejerccio Del Examen

TRAMOD(m) m (lps) J(m/1000m) h(m)

1

1-2 0.40 400.00 140.00 172.41 3.8399 1.53602-3 0.40 2000.00 140.00 122.41 2.0370 4.07403-4 0.40 400.00 140.00 72.41 0.7708 0.3083

4-12 0.40 500.00 140.00 64.82 0.6279 0.314012-9 0.25 200.00 140.00 25.46 1.0986 0.21979-8 0.25 500.00 140.00 -4.54 0.0453 -0.02268-7 0.25 500.00 140.00 -38.21 2.3303 -1.1651

7-10 0.25 200.00 140.00 -68.21 6.8110 -1.362210-1 0.40 500.00 140.00 -235.18 6.8221 -3.4110

Σ 0.4910

2

1-6 0.40 400.00 140.00 -172.41 3.8399 -1.53606-5 0.40 2000.00 140.00 -122.41 2.0370 -4.07405-4 0.40 400.00 140.00 -72.41 0.7708 -0.3083

4-12 0.40 500.00 140.00 -64.82 0.6279 -0.314012-15 0.25 200.00 140.00 -25.46 1.0986 -0.219715-14 0.25 500.00 140.00 4.54 0.0453 0.022614-13 0.25 500.00 140.00 38.21 2.3303 1.165113-10 0.25 200.00 140.00 68.21 6.8110 1.362210-1 0.40 500.00 140.00 235.18 6.8221 3.4110

Σ -0.4910

3

10-7 0.25 200.00 140.00 68.21 6.8110 1.36227-8 0.25 500.00 140.00 38.21 2.3303 1.1651

8-11 0.25 200.00 140.00 -16.33 0.4831 -0.096611-10 0.30 500.00 140.00 -98.75 5.5584 -2.7792

Σ -0.3484

4

11-8 0.25 200.00 140.00 16.33 0.4831 0.09668-9 0.25 500.00 140.00 4.54 0.0453 0.0226

9-12 0.25 200.00 140.00 -25.46 1.0986 -0.219712-11 0.30 500.00 140.00 13.91 0.1476 0.0738

Σ -0.0267

5

13-10 0.25 200.00 140.00 -68.21 6.8110 -1.362210-11 0.30 500.00 140.00 98.75 5.5584 2.779211-14 0.25 200.00 140.00 16.33 0.4831 0.096614-13 0.25 500.00 140.00 -38.21 2.3303 -1.1651

Σ 0.3484

6

14-11 0.25 200.00 140.00 -16.33 0.4831 -0.096611-12 0.30 500.00 140.00 -13.91 0.1476 -0.073812-15 0.25 200.00 140.00 25.46 1.0986 0.219715-14 0.25 500.00 140.00 -4.54 0.0453 -0.0226

LAZO O CIRCUITO

Page 7: Ejerccio Del Examen

Σ 0.0267

TRAMODIAMETRO LONGITUD C Pérdida de carga

D(m) m (lps) J(m/1000m) h(m)

1

1-2 0.40 400.00 140.00 170.37 3.7561 1.50242-3 0.40 2000.00 140.00 120.37 1.9745 3.94903-4 0.40 400.00 140.00 70.37 0.7310 0.2924

4-12 0.40 500.00 140.00 60.73 0.5566 0.278312-9 0.25 200.00 140.00 22.83 0.8982 0.17969-8 0.25 500.00 140.00 -7.17 0.1052 -0.05268-7 0.25 500.00 140.00 -42.49 2.8353 -1.4176

7-10 0.25 200.00 140.00 -72.49 7.6216 -1.524310-1 0.40 500.00 140.00 -239.27 7.0431 -3.5216

Σ -0.3143

2

1-6 0.40 400.00 140.00 -170.37 3.7561 -1.50246-5 0.40 2000.00 140.00 -120.37 1.9745 -3.94905-4 0.40 400.00 140.00 -70.37 0.7310 -0.2924

4-12 0.40 500.00 140.00 -60.73 0.5566 -0.278312-15 0.25 200.00 140.00 -22.83 0.8982 -0.179615-14 0.25 500.00 140.00 7.17 0.1052 0.052614-13 0.25 500.00 140.00 42.49 2.8353 1.417613-10 0.25 200.00 140.00 72.49 7.6216 1.524310-1 0.40 500.00 140.00 239.27 7.0431 3.5216

Σ 0.3143

3

10-7 0.25 200.00 140.00 72.49 7.6216 1.52437-8 0.25 500.00 140.00 42.49 2.8353 1.4176

8-11 0.25 200.00 140.00 -14.68 0.3967 -0.079311-10 0.30 500.00 140.00 -94.30 5.1029 -2.5515

Σ 0.3112

4

11-8 0.25 200.00 140.00 14.68 0.3967 0.07938-9 0.25 500.00 140.00 7.17 0.1052 0.0526

9-12 0.25 200.00 140.00 -22.83 0.8982 -0.179612-11 0.30 500.00 140.00 15.07 0.1712 0.0856

Σ 0.0379

LAZO O CIRCUITO

Caudal supuesto

Page 8: Ejerccio Del Examen

5

13-10 0.25 200.00 140.00 -72.49 7.6216 -1.524310-11 0.30 500.00 140.00 94.30 5.1029 2.551511-14 0.25 200.00 140.00 14.68 0.3967 0.079314-13 0.25 500.00 140.00 -42.49 2.8353 -1.4176

Σ -0.3112

6

14-11 0.25 200.00 140.00 -14.68 0.3967 -0.079311-12 0.30 500.00 140.00 -15.07 0.1712 -0.085612-15 0.25 200.00 140.00 22.83 0.8982 0.179615-14 0.25 500.00 140.00 -7.17 0.1052 -0.0526

Σ -0.0379

TRAMODIAMETRO LONGITUD C Pérdida de carga

D(m) m (lps) J(m/1000m) h(m)

1

1-2 0.40 400.00 140.00 171.63 3.8077 1.52312-3 0.40 2000.00 140.00 121.63 2.0130 4.02603-4 0.40 400.00 140.00 71.63 0.7554 0.3022

4-12 0.40 500.00 140.00 63.25 0.6002 0.300112-9 0.25 200.00 140.00 24.87 1.0525 0.21059-8 0.25 500.00 140.00 -5.13 0.0566 -0.02838-7 0.25 500.00 140.00 -39.29 2.4530 -1.2265

7-10 0.25 200.00 140.00 -69.29 7.0109 -1.402210-1 0.40 500.00 140.00 -236.75 6.9063 -3.4531

Σ 0.2517

2

1-6 0.40 400.00 140.00 -171.63 3.8077 -1.52316-5 0.40 2000.00 140.00 -121.63 2.0130 -4.02605-4 0.40 400.00 140.00 -71.63 0.7554 -0.3022

4-12 0.40 500.00 140.00 -63.25 0.6002 -0.300112-15 0.25 200.00 140.00 -24.87 1.0525 -0.210515-14 0.25 500.00 140.00 5.13 0.0566 0.028314-13 0.25 500.00 140.00 39.29 2.4530 1.226513-10 0.25 200.00 140.00 69.29 7.0109 1.402210-1 0.40 500.00 140.00 236.75 6.9063 3.4531

Σ -0.2517

3

10-7 0.25 200.00 140.00 69.29 7.0109 1.40227-8 0.25 500.00 140.00 39.29 2.4530 1.2265

8-11 0.25 200.00 140.00 -15.84 0.4565 -0.091311-10 0.30 500.00 140.00 -98.17 5.4976 -2.7488

LAZO O CIRCUITO

Caudal supuesto

Page 9: Ejerccio Del Examen

Σ -0.2114

4

11-8 0.25 200.00 140.00 15.84 0.4565 0.09138-9 0.25 500.00 140.00 5.13 0.0566 0.0283

9-12 0.25 200.00 140.00 -24.87 1.0525 -0.210512-11 0.30 500.00 140.00 13.51 0.1399 0.0699

Σ -0.0210

5

13-10 0.25 200.00 140.00 -69.29 7.0109 -1.402210-11 0.30 500.00 140.00 98.17 5.4976 2.748811-14 0.25 200.00 140.00 15.84 0.4565 0.091314-13 0.25 500.00 140.00 -39.29 2.4530 -1.2265

Σ 0.2114

6

14-11 0.25 200.00 140.00 -15.84 0.4565 -0.091311-12 0.30 500.00 140.00 -13.51 0.1399 -0.069912-15 0.25 200.00 140.00 24.87 1.0525 0.210515-14 0.25 500.00 140.00 -5.13 0.0566 -0.0283

Σ 0.0210

TRAMODIAMETRO LONGITUD C Pérdida de carga

D(m) m (lps) J(m/1000m) h(m)

1

1-2 0.40 400.00 140.00 170.59 3.7652 1.50612-3 0.40 2000.00 140.00 120.59 1.9813 3.96253-4 0.40 400.00 140.00 70.59 0.7353 0.2941

4-12 0.40 500.00 140.00 61.18 0.5642 0.282112-9 0.25 200.00 140.00 23.38 0.9385 0.18779-8 0.25 500.00 140.00 -6.62 0.0908 -0.04548-7 0.25 500.00 140.00 -41.67 2.7351 -1.3676

7-10 0.25 200.00 140.00 -71.67 7.4632 -1.492610-1 0.40 500.00 140.00 -238.82 7.0189 -3.5095

Σ -0.1825

2

1-6 0.40 400.00 140.00 -170.59 3.7652 -1.50616-5 0.40 2000.00 140.00 -120.59 1.9813 -3.96255-4 0.40 400.00 140.00 -70.59 0.7353 -0.2941

4-12 0.40 500.00 140.00 -61.18 0.5642 -0.282112-15 0.25 200.00 140.00 -23.38 0.9385 -0.1877

LAZO O CIRCUITO

Caudal supuesto

Page 10: Ejerccio Del Examen

215-14 0.25 500.00 140.00 6.62 0.0908 0.045414-13 0.25 500.00 140.00 41.67 2.7351 1.367613-10 0.25 200.00 140.00 71.67 7.4632 1.492610-1 0.40 500.00 140.00 238.82 7.0189 3.5095

Σ 0.1825

3

10-7 0.25 200.00 140.00 71.67 7.4632 1.49267-8 0.25 500.00 140.00 41.67 2.7351 1.3676

8-11 0.25 200.00 140.00 -14.95 0.4103 -0.082111-10 0.30 500.00 140.00 -95.49 5.2228 -2.6114

Σ 0.1667

4

11-8 0.25 200.00 140.00 14.95 0.4103 0.08218-9 0.25 500.00 140.00 6.62 0.0908 0.0454

9-12 0.25 200.00 140.00 -23.38 0.9385 -0.187712-11 0.30 500.00 140.00 14.42 0.1578 0.0789

Σ 0.0187

5

13-10 0.25 200.00 140.00 -71.67 7.4632 -1.492610-11 0.30 500.00 140.00 95.49 5.2228 2.611411-14 0.25 200.00 140.00 14.95 0.4103 0.082114-13 0.25 500.00 140.00 -41.67 2.7351 -1.3676

Σ -0.1667

6

14-11 0.25 200.00 140.00 -14.95 0.4103 -0.082111-12 0.30 500.00 140.00 -14.42 0.1578 -0.078912-15 0.25 200.00 140.00 23.38 0.9385 0.187715-14 0.25 500.00 140.00 -6.62 0.0908 -0.0454

Σ -0.0187

TRAMODIAMETRO LONGITUD C Pérdida de carga

D(m) m (lps) J(m/1000m) h(m)

1

1-2 0.40 400.00 140.00 171.33 3.7954 1.51822-3 0.40 2000.00 140.00 121.33 2.0038 4.00763-4 0.40 400.00 140.00 71.33 0.7496 0.2998

4-12 0.40 500.00 140.00 62.65 0.5896 0.294812-9 0.25 200.00 140.00 24.51 1.0241 0.20489-8 0.25 500.00 140.00 -5.49 0.0643 -0.03218-7 0.25 500.00 140.00 -39.89 2.5228 -1.2614

7-10 0.25 200.00 140.00 -69.89 7.1237 -1.4247

LAZO O CIRCUITO

Caudal supuesto

Page 11: Ejerccio Del Examen

1

10-1 0.40 500.00 140.00 -237.35 6.9388 -3.4694Σ 0.1375

2

1-6 0.40 400.00 140.00 -171.33 3.7954 -1.51826-5 0.40 2000.00 140.00 -121.33 2.0038 -4.00765-4 0.40 400.00 140.00 -71.33 0.7496 -0.2998

4-12 0.40 500.00 140.00 -62.65 0.5896 -0.294812-15 0.25 200.00 140.00 -24.51 1.0241 -0.204815-14 0.25 500.00 140.00 5.49 0.0643 0.032114-13 0.25 500.00 140.00 39.89 2.5228 1.261413-10 0.25 200.00 140.00 69.89 7.1237 1.424710-1 0.40 500.00 140.00 237.35 6.9388 3.4694

Σ -0.1375

3

10-7 0.25 200.00 140.00 69.89 7.1237 1.42477-8 0.25 500.00 140.00 39.89 2.5228 1.2614

8-11 0.25 200.00 140.00 -15.60 0.4440 -0.088811-10 0.30 500.00 140.00 -97.57 5.4358 -2.7179

Σ -0.1206

4

11-8 0.25 200.00 140.00 15.60 0.4440 0.08888-9 0.25 500.00 140.00 5.49 0.0643 0.0321

9-12 0.25 200.00 140.00 -24.51 1.0241 -0.204812-11 0.30 500.00 140.00 13.64 0.1423 0.0712

Σ -0.0127

5

13-10 0.25 200.00 140.00 -69.89 7.1237 -1.424710-11 0.30 500.00 140.00 97.57 5.4358 2.717911-14 0.25 200.00 140.00 15.60 0.4440 0.088814-13 0.25 500.00 140.00 -39.89 2.5228 -1.2614

Σ 0.1206

6

14-11 0.25 200.00 140.00 -15.60 0.4440 -0.088811-12 0.30 500.00 140.00 -13.64 0.1423 -0.071212-15 0.25 200.00 140.00 24.51 1.0241 0.204815-14 0.25 500.00 140.00 -5.49 0.0643 -0.0321

Σ 0.0127

Page 12: Ejerccio Del Examen

TRAMODIAMETRO LONGITUD C Pérdida de carga

D(m) m (lps) J(m/1000m) h(m)

1

1-2 0.40 400.00 140.00 170.76 3.7723 1.50892-3 0.40 2000.00 140.00 120.76 1.9866 3.97313-4 0.40 400.00 140.00 70.76 0.7386 0.2955

4-12 0.40 500.00 140.00 61.52 0.5701 0.285112-9 0.25 200.00 140.00 23.67 0.9602 0.19209-8 0.25 500.00 140.00 -6.33 0.0836 -0.04188-7 0.25 500.00 140.00 -41.21 2.6802 -1.3401

7-10 0.25 200.00 140.00 -71.21 7.3760 -1.475210-1 0.40 500.00 140.00 -238.48 7.0001 -3.5000

Σ -0.1026

2

1-6 0.40 400.00 140.00 -170.76 3.7723 -1.50896-5 0.40 2000.00 140.00 -120.76 1.9866 -3.97315-4 0.40 400.00 140.00 -70.76 0.7386 -0.2955

4-12 0.40 500.00 140.00 -61.52 0.5701 -0.285112-15 0.25 200.00 140.00 -23.67 0.9602 -0.192015-14 0.25 500.00 140.00 6.33 0.0836 0.041814-13 0.25 500.00 140.00 41.21 2.6802 1.340113-10 0.25 200.00 140.00 71.21 7.3760 1.475210-1 0.40 500.00 140.00 238.48 7.0001 3.5000

Σ 0.1026

3

10-7 0.25 200.00 140.00 71.21 7.3760 1.47527-8 0.25 500.00 140.00 41.21 2.6802 1.3401

8-11 0.25 200.00 140.00 -15.12 0.4186 -0.083711-10 0.30 500.00 140.00 -96.05 5.2797 -2.6399

Σ 0.0917

4

11-8 0.25 200.00 140.00 15.12 0.4186 0.08378-9 0.25 500.00 140.00 6.33 0.0836 0.0418

9-12 0.25 200.00 140.00 -23.67 0.9602 -0.192012-11 0.30 500.00 140.00 14.18 0.1531 0.0765

Σ 0.0100

5

13-10 0.25 200.00 140.00 -71.21 7.3760 -1.475210-11 0.30 500.00 140.00 96.05 5.2797 2.639911-14 0.25 200.00 140.00 15.12 0.4186 0.083714-13 0.25 500.00 140.00 -41.21 2.6802 -1.3401

Σ -0.0917

6

14-11 0.25 200.00 140.00 -15.12 0.4186 -0.083711-12 0.30 500.00 140.00 -14.18 0.1531 -0.0765

LAZO O CIRCUITO

Caudal supuesto

Page 13: Ejerccio Del Examen

612-15 0.25 200.00 140.00 23.67 0.9602 0.192015-14 0.25 500.00 140.00 -6.33 0.0836 -0.0418

Σ -0.0100

TRAMODIAMETRO LONGITUD C Pérdida de carga

D(m) m (lps) J(m/1000m) h(m)

1

1-2 0.40 400.00 140.00 171.18 3.7893 1.51572-3 0.40 2000.00 140.00 121.18 1.9992 3.99853-4 0.40 400.00 140.00 71.18 0.7467 0.2987

4-12 0.40 500.00 140.00 62.36 0.5845 0.292212-9 0.25 200.00 140.00 24.30 1.0079 0.20169-8 0.25 500.00 140.00 -5.70 0.0689 -0.03448-7 0.25 500.00 140.00 -40.22 2.5621 -1.2811

7-10 0.25 200.00 140.00 -70.22 7.1871 -1.437410-1 0.40 500.00 140.00 -237.64 6.9549 -3.4774

Σ 0.0763

2

1-6 0.40 400.00 140.00 -171.18 3.7893 -1.51576-5 0.40 2000.00 140.00 -121.18 1.9992 -3.99855-4 0.40 400.00 140.00 -71.18 0.7467 -0.2987

4-12 0.40 500.00 140.00 -62.36 0.5845 -0.292212-15 0.25 200.00 140.00 -24.30 1.0079 -0.201615-14 0.25 500.00 140.00 5.70 0.0689 0.034414-13 0.25 500.00 140.00 40.22 2.5621 1.281113-10 0.25 200.00 140.00 70.22 7.1871 1.437410-1 0.40 500.00 140.00 237.64 6.9549 3.4774

Σ -0.0763

3

10-7 0.25 200.00 140.00 70.22 7.1871 1.43747-8 0.25 500.00 140.00 40.22 2.5621 1.2811

8-11 0.25 200.00 140.00 -15.48 0.4375 -0.087511-10 0.30 500.00 140.00 -97.20 5.3973 -2.6987

Σ -0.0677

4

11-8 0.25 200.00 140.00 15.48 0.4375 0.08758-9 0.25 500.00 140.00 5.70 0.0689 0.0344

9-12 0.25 200.00 140.00 -24.30 1.0079 -0.201612-11 0.30 500.00 140.00 13.76 0.1448 0.0724

Σ -0.0073

LAZO O CIRCUITO

Caudal supuesto

Page 14: Ejerccio Del Examen

5

13-10 0.25 200.00 140.00 -70.22 7.1871 -1.437410-11 0.30 500.00 140.00 97.20 5.3973 2.698711-14 0.25 200.00 140.00 15.48 0.4375 0.087514-13 0.25 500.00 140.00 -40.22 2.5621 -1.2811

Σ 0.0677

6

14-11 0.25 200.00 140.00 -15.48 0.4375 -0.087511-12 0.30 500.00 140.00 -13.76 0.1448 -0.072412-15 0.25 200.00 140.00 24.30 1.0079 0.201615-14 0.25 500.00 140.00 -5.70 0.0689 -0.0344

Σ 0.0073

TRAMODIAMETRO LONGITUD C Pérdida de carga

D(m) m (lps) J(m/1000m) h(m)

1

1-2 0.40 400.00 140.00 170.87 3.7765 1.51062-3 0.40 2000.00 140.00 120.87 1.9897 3.97943-4 0.40 400.00 140.00 70.87 0.7406 0.2963

4-12 0.40 500.00 140.00 61.73 0.5737 0.286812-9 0.25 200.00 140.00 23.83 0.9722 0.19449-8 0.25 500.00 140.00 -6.17 0.0797 -0.03998-7 0.25 500.00 140.00 -40.96 2.6500 -1.3250

7-10 0.25 200.00 140.00 -70.96 7.3277 -1.465510-1 0.40 500.00 140.00 -238.27 6.9888 -3.4944

Σ -0.0572

2

1-6 0.40 400.00 140.00 -170.87 3.7765 -1.51066-5 0.40 2000.00 140.00 -120.87 1.9897 -3.97945-4 0.40 400.00 140.00 -70.87 0.7406 -0.2963

4-12 0.40 500.00 140.00 -61.73 0.5737 -0.286812-15 0.25 200.00 140.00 -23.83 0.9722 -0.194415-14 0.25 500.00 140.00 6.17 0.0797 0.039914-13 0.25 500.00 140.00 40.96 2.6500 1.325013-10 0.25 200.00 140.00 70.96 7.3277 1.465510-1 0.40 500.00 140.00 238.27 6.9888 3.4944

Σ 0.0572

3

10-7 0.25 200.00 140.00 70.96 7.3277 1.46557-8 0.25 500.00 140.00 40.96 2.6500 1.3250

LAZO O CIRCUITO

Caudal supuesto

Page 15: Ejerccio Del Examen

38-11 0.25 200.00 140.00 -15.21 0.4234 -0.0847

11-10 0.30 500.00 140.00 -96.34 5.3099 -2.6550Σ 0.0509

4

11-8 0.25 200.00 140.00 15.21 0.4234 0.08478-9 0.25 500.00 140.00 6.17 0.0797 0.0399

9-12 0.25 200.00 140.00 -23.83 0.9722 -0.194412-11 0.30 500.00 140.00 14.07 0.1509 0.0754

Σ 0.0055

5

13-10 0.25 200.00 140.00 -70.96 7.3277 -1.465510-11 0.30 500.00 140.00 96.34 5.3099 2.655011-14 0.25 200.00 140.00 15.21 0.4234 0.084714-13 0.25 500.00 140.00 -40.96 2.6500 -1.3250

Σ -0.0509

6

14-11 0.25 200.00 140.00 -15.21 0.4234 -0.084711-12 0.30 500.00 140.00 -14.07 0.1509 -0.075412-15 0.25 200.00 140.00 23.83 0.9722 0.194415-14 0.25 500.00 140.00 -6.17 0.0797 -0.0399

Σ -0.0055

TRAMODIAMETRO LONGITUD C Pérdida de carga

D(m) m (lps) J(m/1000m) h(m)

1

1-2 0.40 400.00 140.00 171.10 3.7861 1.51442-3 0.40 2000.00 140.00 121.10 1.9968 3.99363-4 0.40 400.00 140.00 71.10 0.7451 0.2981

4-12 0.40 500.00 140.00 62.20 0.5817 0.290912-9 0.25 200.00 140.00 24.18 0.9988 0.19989-8 0.25 500.00 140.00 -5.82 0.0716 -0.03588-7 0.25 500.00 140.00 -40.41 2.5842 -1.2921

7-10 0.25 200.00 140.00 -70.41 7.2226 -1.444510-1 0.40 500.00 140.00 -237.80 6.9635 -3.4818

Σ 0.0425

2

1-6 0.40 400.00 140.00 -171.10 3.7861 -1.51446-5 0.40 2000.00 140.00 -121.10 1.9968 -3.99365-4 0.40 400.00 140.00 -71.10 0.7451 -0.2981

4-12 0.40 500.00 140.00 -62.20 0.5817 -0.290912-15 0.25 200.00 140.00 -24.18 0.9988 -0.1998

LAZO O CIRCUITO

Caudal supuesto

Page 16: Ejerccio Del Examen

215-14 0.25 500.00 140.00 5.82 0.0716 0.035814-13 0.25 500.00 140.00 40.41 2.5842 1.292113-10 0.25 200.00 140.00 70.41 7.2226 1.444510-1 0.40 500.00 140.00 237.80 6.9635 3.4818

Σ -0.0425

3

10-7 0.25 200.00 140.00 70.41 7.2226 1.44457-8 0.25 500.00 140.00 40.41 2.5842 1.2921

8-11 0.25 200.00 140.00 -15.41 0.4339 -0.086811-10 0.30 500.00 140.00 -96.98 5.3753 -2.6876

Σ -0.0378

4

11-8 0.25 200.00 140.00 15.41 0.4339 0.08688-9 0.25 500.00 140.00 5.82 0.0716 0.0358

9-12 0.25 200.00 140.00 -24.18 0.9988 -0.199812-11 0.30 500.00 140.00 13.84 0.1463 0.0731

Σ -0.0041

5

13-10 0.25 200.00 140.00 -70.41 7.2226 -1.444510-11 0.30 500.00 140.00 96.98 5.3753 2.687611-14 0.25 200.00 140.00 15.41 0.4339 0.086814-13 0.25 500.00 140.00 -40.41 2.5842 -1.2921

Σ 0.0378

6

14-11 0.25 200.00 140.00 -15.41 0.4339 -0.086811-12 0.30 500.00 140.00 -13.84 0.1463 -0.073112-15 0.25 200.00 140.00 24.18 0.9988 0.199815-14 0.25 500.00 140.00 -5.82 0.0716 -0.0358

Σ 0.0041

TRAMODIAMETRO LONGITUD C Pérdida de carga

D(m) m (lps) J(m/1000m) h(m)

1

1-2 0.40 400.00 140.00 170.92 3.7789 1.51162-3 0.40 2000.00 140.00 120.92 1.9915 3.98303-4 0.40 400.00 140.00 70.92 0.7418 0.2967

4-12 0.40 500.00 140.00 61.85 0.5757 0.287912-9 0.25 200.00 140.00 23.92 0.9789 0.19589-8 0.25 500.00 140.00 -6.08 0.0776 -0.0388

LAZO O CIRCUITO

Caudal supuesto

Page 17: Ejerccio Del Examen

1

8-7 0.25 500.00 140.00 -40.82 2.6332 -1.31667-10 0.25 200.00 140.00 -70.82 7.3009 -1.460210-1 0.40 500.00 140.00 -238.15 6.9824 -3.4912

Σ -0.0318

2

1-6 0.40 400.00 140.00 -170.92 3.7789 -1.51166-5 0.40 2000.00 140.00 -120.92 1.9915 -3.98305-4 0.40 400.00 140.00 -70.92 0.7418 -0.2967

4-12 0.40 500.00 140.00 -61.85 0.5757 -0.287912-15 0.25 200.00 140.00 -23.92 0.9789 -0.195815-14 0.25 500.00 140.00 6.08 0.0776 0.038814-13 0.25 500.00 140.00 40.82 2.6332 1.316613-10 0.25 200.00 140.00 70.82 7.3009 1.460210-1 0.40 500.00 140.00 238.15 6.9824 3.4912

Σ 0.0318

3

10-7 0.25 200.00 140.00 70.82 7.3009 1.46027-8 0.25 500.00 140.00 40.82 2.6332 1.3166

8-11 0.25 200.00 140.00 -15.26 0.4260 -0.085211-10 0.30 500.00 140.00 -96.51 5.3266 -2.6633

Σ 0.0283

4

11-8 0.25 200.00 140.00 15.26 0.4260 0.08528-9 0.25 500.00 140.00 6.08 0.0776 0.0388

9-12 0.25 200.00 140.00 -23.92 0.9789 -0.195812-11 0.30 500.00 140.00 14.01 0.1497 0.0748

Σ 0.0031

5

13-10 0.25 200.00 140.00 -70.82 7.3009 -1.460210-11 0.30 500.00 140.00 96.51 5.3266 2.663311-14 0.25 200.00 140.00 15.26 0.4260 0.085214-13 0.25 500.00 140.00 -40.82 2.6332 -1.3166

Σ -0.0283

6

14-11 0.25 200.00 140.00 -15.26 0.4260 -0.085211-12 0.30 500.00 140.00 -14.01 0.1497 -0.074812-15 0.25 200.00 140.00 23.92 0.9789 0.195815-14 0.25 500.00 140.00 -6.08 0.0776 -0.0388

Σ -0.0031

Page 18: Ejerccio Del Examen

TRAMODIAMETRO LONGITUD C Pérdida de carga

D(m) m (lps) J(m/1000m) h(m)

1

1-2 0.40 400.00 140.00 171.05 3.7842 1.51372-3 0.40 2000.00 140.00 121.05 1.9955 3.99093-4 0.40 400.00 140.00 71.05 0.7443 0.2977

4-12 0.40 500.00 140.00 62.11 0.5802 0.290112-9 0.25 200.00 140.00 24.11 0.9937 0.19879-8 0.25 500.00 140.00 -5.89 0.0731 -0.03658-7 0.25 500.00 140.00 -40.51 2.5966 -1.2983

7-10 0.25 200.00 140.00 -70.51 7.2424 -1.448510-1 0.40 500.00 140.00 -237.89 6.9683 -3.4842

Σ 0.0237

2

1-6 0.40 400.00 140.00 -171.05 3.7842 -1.51376-5 0.40 2000.00 140.00 -121.05 1.9955 -3.99095-4 0.40 400.00 140.00 -71.05 0.7443 -0.2977

4-12 0.40 500.00 140.00 -62.11 0.5802 -0.290112-15 0.25 200.00 140.00 -24.11 0.9937 -0.198715-14 0.25 500.00 140.00 5.89 0.0731 0.036514-13 0.25 500.00 140.00 40.51 2.5966 1.298313-10 0.25 200.00 140.00 70.51 7.2424 1.448510-1 0.40 500.00 140.00 237.89 6.9683 3.4842

Σ -0.0237

3

10-7 0.25 200.00 140.00 70.51 7.2424 1.44857-8 0.25 500.00 140.00 40.51 2.5966 1.2983

8-11 0.25 200.00 140.00 -15.37 0.4319 -0.086411-10 0.30 500.00 140.00 -96.86 5.3629 -2.6815

Σ -0.0211

4

11-8 0.25 200.00 140.00 15.37 0.4319 0.08648-9 0.25 500.00 140.00 5.89 0.0731 0.0365

9-12 0.25 200.00 140.00 -24.11 0.9937 -0.198712-11 0.30 500.00 140.00 13.88 0.1471 0.0736

Σ -0.0023

5

13-10 0.25 200.00 140.00 -70.51 7.2424 -1.448510-11 0.30 500.00 140.00 96.86 5.3629 2.681511-14 0.25 200.00 140.00 15.37 0.4319 0.086414-13 0.25 500.00 140.00 -40.51 2.5966 -1.2983

Σ 0.0211

6

14-11 0.25 200.00 140.00 -15.37 0.4319 -0.086411-12 0.30 500.00 140.00 -13.88 0.1471 -0.0736

LAZO O CIRCUITO

Caudal supuesto

Page 19: Ejerccio Del Examen

612-15 0.25 200.00 140.00 24.11 0.9937 0.198715-14 0.25 500.00 140.00 -5.89 0.0731 -0.0365

Σ 0.0023

TRAMODIAMETRO LONGITUD C Pérdida de carga

D(m) m J(m/1000m) h(m)

1

1-2 0.40 400.00 140.00 170.96 3.7803 1.51212-3 0.40 2000.00 140.00 120.96 1.9925 3.98503-4 0.40 400.00 140.00 70.96 0.7424 0.2970

4-12 0.40 500.00 140.00 61.91 0.5768 0.288412-9 0.25 200.00 140.00 23.97 0.9827 0.19659-8 0.25 500.00 140.00 -6.03 0.0764 -0.03828-7 0.25 500.00 140.00 -40.74 2.6239 -1.3119

7-10 0.25 200.00 140.00 -70.74 7.2861 -1.457210-1 0.40 500.00 140.00 -238.09 6.9788 -3.4894

Σ -0.0177

2

1-6 0.40 400.00 140.00 -170.96 3.7803 -1.51216-5 0.40 2000.00 140.00 -120.96 1.9925 -3.98505-4 0.40 400.00 140.00 -70.96 0.7424 -0.2970

4-12 0.40 500.00 140.00 -61.91 0.5768 -0.288412-15 0.25 200.00 140.00 -23.97 0.9827 -0.196515-14 0.25 500.00 140.00 6.03 0.0764 0.038214-13 0.25 500.00 140.00 40.74 2.6239 1.311913-10 0.25 200.00 140.00 70.74 7.2861 1.457210-1 0.40 500.00 140.00 238.09 6.9788 3.4894

Σ 0.0177

3

10-7 0.25 200.00 140.00 70.74 7.2861 1.45727-8 0.25 500.00 140.00 40.74 2.6239 1.3119

8-11 0.25 200.00 140.00 -15.29 0.4275 -0.085511-10 0.30 500.00 140.00 -96.60 5.3358 -2.6679

Σ 0.0158

4

11-8 0.25 200.00 140.00 15.29 0.4275 0.08558-9 0.25 500.00 140.00 6.03 0.0764 0.0382

9-12 0.25 200.00 140.00 -23.97 0.9827 -0.196512-11 0.30 500.00 140.00 13.98 0.1490 0.0745

Σ 0.0017

LAZO O CIRCUITO

Page 20: Ejerccio Del Examen

5

13-10 0.25 200.00 140.00 -70.74 7.2861 -1.457210-11 0.30 500.00 140.00 96.60 5.3358 2.667911-14 0.25 200.00 140.00 15.29 0.4275 0.085514-13 0.25 500.00 140.00 -40.74 2.6239 -1.3119

Σ -0.0158

6

14-11 0.25 200.00 140.00 -15.29 0.4275 -0.085511-12 0.30 500.00 140.00 -13.98 0.1490 -0.074512-15 0.25 200.00 140.00 23.97 0.9827 0.196515-14 0.25 500.00 140.00 -6.03 0.0764 -0.0382

Σ -0.0017

TRAMODIAMETRO LONGITUD C Pérdida de carga

D(m) m (lps) J(m/1000m) h(m)

1

1-2 0.40 400.00 140.00 171.03 3.7832 1.51332-3 0.40 2000.00 140.00 121.03 1.9947 3.98943-4 0.40 400.00 140.00 71.03 0.7438 0.2975

4-12 0.40 500.00 140.00 62.06 0.5793 0.289712-9 0.25 200.00 140.00 24.08 0.9909 0.19829-8 0.25 500.00 140.00 -5.92 0.0739 -0.03708-7 0.25 500.00 140.00 -40.57 2.6035 -1.3018

7-10 0.25 200.00 140.00 -70.57 7.2534 -1.450710-1 0.40 500.00 140.00 -237.94 6.9710 -3.4855

Σ 0.0132

2

1-6 0.40 400.00 140.00 -171.03 3.7832 -1.51336-5 0.40 2000.00 140.00 -121.03 1.9947 -3.98945-4 0.40 400.00 140.00 -71.03 0.7438 -0.2975

4-12 0.40 500.00 140.00 -62.06 0.5793 -0.289712-15 0.25 200.00 140.00 -24.08 0.9909 -0.198215-14 0.25 500.00 140.00 5.92 0.0739 0.037014-13 0.25 500.00 140.00 40.57 2.6035 1.301813-10 0.25 200.00 140.00 70.57 7.2534 1.450710-1 0.40 500.00 140.00 237.94 6.9710 3.4855

Σ -0.0132

3

10-7 0.25 200.00 140.00 70.57 7.2534 1.45077-8 0.25 500.00 140.00 40.57 2.6035 1.3018

8-11 0.25 200.00 140.00 -15.35 0.4308 -0.0862

LAZO O CIRCUITO

Caudal supuesto

Page 21: Ejerccio Del Examen

3

11-10 0.30 500.00 140.00 -96.80 5.3561 -2.6780Σ -0.0117

4

11-8 0.25 200.00 140.00 15.35 0.4308 0.08628-9 0.25 500.00 140.00 5.92 0.0739 0.0370

9-12 0.25 200.00 140.00 -24.08 0.9909 -0.198212-11 0.30 500.00 140.00 13.91 0.1476 0.0738

Σ -0.0013

5

13-10 0.25 200.00 140.00 -70.57 7.2534 -1.450710-11 0.30 500.00 140.00 96.80 5.3561 2.678011-14 0.25 200.00 140.00 15.35 0.4308 0.086214-13 0.25 500.00 140.00 -40.57 2.6035 -1.3018

Σ 0.0117

6

14-11 0.25 200.00 140.00 -15.35 0.4308 -0.086211-12 0.30 500.00 140.00 -13.91 0.1476 -0.073812-15 0.25 200.00 140.00 24.08 0.9909 0.198215-14 0.25 500.00 140.00 -5.92 0.0739 -0.0370

Σ 0.0013

TRAMODIAMETRO LONGITUD C Pérdida de carga

D(m) m J(m/1000m) h(m)

1

1-2 0.40 400.00 140.00 170.98 3.7810 1.51242-3 0.40 2000.00 140.00 120.98 1.9931 3.98613-4 0.40 400.00 140.00 70.98 0.7428 0.2971

4-12 0.40 500.00 140.00 61.95 0.5775 0.288712-9 0.25 200.00 140.00 24.00 0.9848 0.19709-8 0.25 500.00 140.00 -6.00 0.0758 -0.03798-7 0.25 500.00 140.00 -40.70 2.6187 -1.3094

7-10 0.25 200.00 140.00 -70.70 7.2778 -1.455610-1 0.40 500.00 140.00 -238.05 6.9768 -3.4884

Σ -0.0099

2

1-6 0.40 400.00 140.00 -170.98 3.7810 -1.51246-5 0.40 2000.00 140.00 -120.98 1.9931 -3.98615-4 0.40 400.00 140.00 -70.98 0.7428 -0.2971

4-12 0.40 500.00 140.00 -61.95 0.5775 -0.288712-15 0.25 200.00 140.00 -24.00 0.9848 -0.1970

LAZO O CIRCUITO

Page 22: Ejerccio Del Examen

215-14 0.25 500.00 140.00 6.00 0.0758 0.037914-13 0.25 500.00 140.00 40.70 2.6187 1.309413-10 0.25 200.00 140.00 70.70 7.2778 1.455610-1 0.40 500.00 140.00 238.05 6.9768 3.4884

Σ 0.0099

3

10-7 0.25 200.00 140.00 70.70 7.2778 1.45567-8 0.25 500.00 140.00 40.70 2.6187 1.3094

8-11 0.25 200.00 140.00 -15.30 0.4283 -0.085711-10 0.30 500.00 140.00 -96.65 5.3409 -2.6705

Σ 0.0088

4

11-8 0.25 200.00 140.00 15.30 0.4283 0.08578-9 0.25 500.00 140.00 6.00 0.0758 0.0379

9-12 0.25 200.00 140.00 -24.00 0.9848 -0.197012-11 0.30 500.00 140.00 13.96 0.1487 0.0743

Σ 0.0009

5

13-10 0.25 200.00 140.00 -70.70 7.2778 -1.455610-11 0.30 500.00 140.00 96.65 5.3409 2.670511-14 0.25 200.00 140.00 15.30 0.4283 0.085714-13 0.25 500.00 140.00 -40.70 2.6187 -1.3094

Σ -0.0088

6

14-11 0.25 200.00 140.00 -15.30 0.4283 -0.085711-12 0.30 500.00 140.00 -13.96 0.1487 -0.074312-15 0.25 200.00 140.00 24.00 0.9848 0.197015-14 0.25 500.00 140.00 -6.00 0.0758 -0.0379

Σ -0.0009

TRAMODIAMETRO LONGITUD C Pérdida de carga

D(m) m (lps) J(m/1000m) h(m)

1

1-2 0.40 400.00 140.00 171.02 3.7827 1.51312-3 0.40 2000.00 140.00 121.02 1.9943 3.98863-4 0.40 400.00 140.00 71.02 0.7435 0.2974

4-12 0.40 500.00 140.00 62.03 0.5789 0.289412-9 0.25 200.00 140.00 24.06 0.9894 0.19799-8 0.25 500.00 140.00 -5.94 0.0744 -0.03728-7 0.25 500.00 140.00 -40.61 2.6074 -1.3037

LAZO O CIRCUITO

Caudal supuesto

Page 23: Ejerccio Del Examen

1

7-10 0.25 200.00 140.00 -70.61 7.2596 -1.451910-1 0.40 500.00 140.00 -237.97 6.9725 -3.4862

Σ 0.0074

2

1-6 0.40 400.00 140.00 -171.02 3.7827 -1.51316-5 0.40 2000.00 140.00 -121.02 1.9943 -3.98865-4 0.40 400.00 140.00 -71.02 0.7435 -0.2974

4-12 0.40 500.00 140.00 -62.03 0.5789 -0.289412-15 0.25 200.00 140.00 -24.06 0.9894 -0.197915-14 0.25 500.00 140.00 5.94 0.0744 0.037214-13 0.25 500.00 140.00 40.61 2.6074 1.303713-10 0.25 200.00 140.00 70.61 7.2596 1.451910-1 0.40 500.00 140.00 237.97 6.9725 3.4862

Σ -0.0074

3

10-7 0.25 200.00 140.00 70.61 7.2596 1.45197-8 0.25 500.00 140.00 40.61 2.6074 1.3037

8-11 0.25 200.00 140.00 -15.34 0.4302 -0.086011-10 0.30 500.00 140.00 -96.76 5.3522 -2.6761

Σ -0.0065

4

11-8 0.25 200.00 140.00 15.34 0.4302 0.08608-9 0.25 500.00 140.00 5.94 0.0744 0.0372

9-12 0.25 200.00 140.00 -24.06 0.9894 -0.197912-11 0.30 500.00 140.00 13.92 0.1479 0.0739

Σ -0.0007

5

13-10 0.25 200.00 140.00 -70.61 7.2596 -1.451910-11 0.30 500.00 140.00 96.76 5.3522 2.676111-14 0.25 200.00 140.00 15.34 0.4302 0.086014-13 0.25 500.00 140.00 -40.61 2.6074 -1.3037

Σ 0.0065

6

14-11 0.25 200.00 140.00 -15.34 0.4302 -0.086011-12 0.30 500.00 140.00 -13.92 0.1479 -0.073912-15 0.25 200.00 140.00 24.06 0.9894 0.197915-14 0.25 500.00 140.00 -5.94 0.0744 -0.0372

Σ 0.0007

Page 24: Ejerccio Del Examen

TRAMODIAMETRO LONGITUD C Pérdida de carga

D(m) m J(m/1000m) h(m)

1

1-2 0.40 400.00 140.00 170.99 3.7814 1.51262-3 0.40 2000.00 140.00 120.99 1.9934 3.98683-4 0.40 400.00 140.00 70.99 0.7430 0.2972

4-12 0.40 500.00 140.00 61.97 0.5778 0.288912-9 0.25 200.00 140.00 24.01 0.9859 0.19729-8 0.25 500.00 140.00 -5.99 0.0754 -0.03778-7 0.25 500.00 140.00 -40.68 2.6158 -1.3079

7-10 0.25 200.00 140.00 -70.68 7.2732 -1.454610-1 0.40 500.00 140.00 -238.03 6.9757 -3.4879

Σ -0.0055

2

1-6 0.40 400.00 140.00 -170.99 3.7814 -1.51266-5 0.40 2000.00 140.00 -120.99 1.9934 -3.98685-4 0.40 400.00 140.00 -70.99 0.7430 -0.2972

4-12 0.40 500.00 140.00 -61.97 0.5778 -0.288912-15 0.25 200.00 140.00 -24.01 0.9859 -0.197215-14 0.25 500.00 140.00 5.99 0.0754 0.037714-13 0.25 500.00 140.00 40.68 2.6158 1.307913-10 0.25 200.00 140.00 70.68 7.2732 1.454610-1 0.40 500.00 140.00 238.03 6.9757 3.4879

Σ 0.0055

3

10-7 0.25 200.00 140.00 70.68 7.2732 1.45467-8 0.25 500.00 140.00 40.68 2.6158 1.3079

8-11 0.25 200.00 140.00 -15.31 0.4288 -0.085811-10 0.30 500.00 140.00 -96.68 5.3438 -2.6719

Σ 0.0049

4

11-8 0.25 200.00 140.00 15.31 0.4288 0.08588-9 0.25 500.00 140.00 5.99 0.0754 0.0377

9-12 0.25 200.00 140.00 -24.01 0.9859 -0.197212-11 0.30 500.00 140.00 13.95 0.1485 0.0742

Σ 0.0005

5

13-10 0.25 200.00 140.00 -70.68 7.2732 -1.454610-11 0.30 500.00 140.00 96.68 5.3438 2.671911-14 0.25 200.00 140.00 15.31 0.4288 0.085814-13 0.25 500.00 140.00 -40.68 2.6158 -1.3079

Σ -0.0049

6

14-11 0.25 200.00 140.00 -15.31 0.4288 -0.085811-12 0.30 500.00 140.00 -13.95 0.1485 -0.074212-15 0.25 200.00 140.00 24.01 0.9859 0.1972

LAZO O CIRCUITO

Page 25: Ejerccio Del Examen

6

15-14 0.25 500.00 140.00 -5.99 0.0754 -0.0377Σ -0.0005

Page 26: Ejerccio Del Examen

h/Q0 ∆Q Q1(lps)

0.0098 -18.3234 174.680.0380 -18.3234 124.680.0053 -18.3234 74.680.0074 -36.6468 69.350.0110 -15.9471 18.050.0045 -15.9471 -11.950.0269 -13.6942 -46.690.0187 -13.6942 -76.690.0123 -36.6468 -230.650.1338 -18.3234

0.0098 18.3234 -174.680.0380 18.3234 -124.680.0053 18.3234 -74.680.0074 36.6468 -69.350.0110 15.9471 -18.050.0045 15.9471 11.950.0269 13.6942 46.690.0187 13.6942 76.690.0123 36.6468 230.650.1338 18.3234

0.0187 13.6942 76.690.0269 13.6942 46.690.0049 -2.2529 -15.250.0205 -9.2584 -77.260.0709 -4.6292

0.0049 2.2529 15.250.0045 15.9471 11.950.0110 15.9471 -18.050.0125 -4.7526 33.250.0329 -2.3763

0.0187 -13.6942 -76.69

𝐽= 0.0301∗ 𝑄1.851𝐶1.851 ∗𝐷4.871

∆𝑄1 = − σℎ1.85∗σℎ 𝑄0ൗ�

𝑄= 𝑄0 + ∆𝑄

Page 27: Ejerccio Del Examen

0.0205 9.2584 77.260.0049 2.2529 15.250.0269 -13.6942 -46.690.0709 4.6292

0.0049 -2.2529 -15.250.0125 4.7526 -33.250.0110 -15.9471 18.050.0045 -15.9471 -11.950.0329 2.3763

h/Q0 ∆Q Q1(lps)

0.0090 0.8319 175.510.0338 0.8319 125.510.0044 0.8319 75.510.0051 1.6637 71.020.0064 8.2693 26.320.0113 8.2693 -3.680.0362 10.3843 -36.310.0221 10.3843 -66.310.0143 1.6637 -228.980.1426 0.8319

0.0090 -0.8319 -175.510.0338 -0.8319 -125.510.0044 -0.8319 -75.510.0051 -1.6637 -71.020.0064 -8.2693 -26.320.0113 -8.2693 3.680.0362 -10.3843 36.310.0221 -10.3843 66.310.0143 -1.6637 228.980.1426 -0.8319

0.0221 -10.3843 66.310.0362 -10.3843 36.310.0056 -2.1150 -17.37

Page 28: Ejerccio Del Examen

0.0228 -19.1048 -96.360.0866 -9.5524

0.0056 2.1150 17.370.0113 -8.2693 3.680.0064 -8.2693 -26.320.0111 -14.8749 18.370.0345 -7.4375

0.0221 10.3843 -66.310.0228 19.1048 96.360.0056 2.1150 17.370.0362 10.3843 -36.310.0866 9.5524

0.0056 -2.1150 -17.370.0111 14.8749 -18.370.0064 8.2693 26.320.0113 8.2693 -3.680.0345 7.4375

h/Q0 ∆Q Q1(lps)

0.0090 -4.9548 170.550.0340 -4.9548 120.550.0044 -4.9548 70.550.0052 -9.9097 61.110.0089 -4.6763 21.650.0042 -4.6763 -8.350.0292 -7.6519 -43.960.0195 -7.6519 -73.960.0142 -9.9097 -238.890.1286 -4.9548

0.0090 4.9548 -170.550.0340 4.9548 -120.550.0044 4.9548 -70.550.0052 9.9097 -61.110.0089 4.6763 -21.650.0042 4.6763 8.35

Page 29: Ejerccio Del Examen

0.0292 7.6519 43.960.0195 7.6519 73.960.0142 9.9097 238.890.1286 4.9548

0.0195 7.6519 73.960.0292 7.6519 43.960.0062 2.9756 -14.390.0276 5.3941 -90.970.0825 2.6971

0.0062 -2.9756 14.390.0042 4.6763 8.350.0089 4.6763 -21.650.0067 -0.5571 17.820.0260 -0.2786

0.0195 -7.6519 -73.960.0276 -5.3941 90.970.0062 -2.9756 14.390.0292 -7.6519 -43.960.0825 -2.6971

0.0062 2.9756 -14.390.0067 0.5571 -17.820.0089 -4.6763 21.650.0042 -4.6763 -8.350.0260 0.2786

h/Q0 ∆Q Q1(lps)

0.0088 1.8557 172.410.0329 1.8557 122.410.0042 1.8557 72.410.0046 3.7114 64.820.0075 3.8096 25.460.0084 3.8096 -4.540.0344 5.7481 -38.21

Page 30: Ejerccio Del Examen

0.0214 5.7481 -68.210.0147 3.7114 -235.180.1368 1.8557

0.0088 -1.8557 -172.410.0329 -1.8557 -122.410.0042 -1.8557 -72.410.0046 -3.7114 -64.820.0075 -3.8096 -25.460.0084 -3.8096 4.540.0344 -5.7481 38.210.0214 -5.7481 68.210.0147 -3.7114 235.180.1368 -1.8557

0.0214 -5.7481 68.210.0344 -5.7481 38.210.0053 -1.9385 -16.330.0262 -7.7849 -98.750.0873 -3.8924

0.0053 1.9385 16.330.0084 -3.8096 4.540.0075 -3.8096 -25.460.0066 -3.9079 13.910.0277 -1.9539

0.0214 5.7481 -68.210.0262 7.7849 98.750.0053 1.9385 16.330.0344 5.7481 -38.210.0873 3.8924

0.0053 -1.9385 -16.330.0066 3.9079 -13.910.0075 3.8096 25.460.0084 3.8096 -4.540.0277 1.9539

h/Q0 ∆Q Q1(lps)

Page 31: Ejerccio Del Examen

h/Q0 ∆Q Q1(lps)

0.0089 -2.0436 170.370.0333 -2.0436 120.370.0043 -2.0436 70.370.0048 -4.0872 60.730.0086 -2.6238 22.830.0050 -2.6238 -7.170.0305 -4.2721 -42.490.0200 -4.2721 -72.490.0145 -4.0872 -239.270.1299 -2.0436

0.0089 2.0436 -170.370.0333 2.0436 -120.370.0043 2.0436 -70.370.0048 4.0872 -60.730.0086 2.6238 -22.830.0050 2.6238 7.170.0305 4.2721 42.490.0200 4.2721 72.490.0145 4.0872 239.270.1299 2.0436

0.0200 4.2721 72.490.0305 4.2721 42.490.0059 1.6484 -14.680.0281 4.4571 -94.300.0845 2.2285

0.0059 -1.6484 14.680.0050 2.6238 7.170.0086 2.6238 -22.830.0053 1.1603 15.070.0248 0.5802

0.0200 -4.2721 -72.490.0281 -4.4571 94.300.0059 -1.6484 14.680.0305 -4.2721 -42.490.0845 -2.2285

0.0059 1.6484 -14.680.0053 -1.1603 -15.070.0086 -2.6238 22.830.0050 -2.6238 -7.17

Page 32: Ejerccio Del Examen

0.0248 -0.5802

h/Q0 ∆Q Q1(lps)

0.0088 1.2615 171.630.0328 1.2615 121.630.0042 1.2615 71.630.0046 2.5230 63.250.0079 2.0412 24.870.0073 2.0412 -5.130.0334 3.1979 -39.290.0210 3.1979 -69.290.0147 2.5230 -236.750.1347 1.2615

0.0088 -1.2615 -171.630.0328 -1.2615 -121.630.0042 -1.2615 -71.630.0046 -2.5230 -63.250.0079 -2.0412 -24.870.0073 -2.0412 5.130.0334 -3.1979 39.290.0210 -3.1979 69.290.0147 -2.5230 236.750.1347 -1.2615

0.0210 -3.1979 69.290.0334 -3.1979 39.290.0054 -1.1567 -15.840.0271 -3.8728 -98.170.0869 -1.9364

0.0054 1.1567 15.840.0073 -2.0412 5.130.0079 -2.0412 -24.870.0057 -1.5594 13.510.0263 -0.7797

Page 33: Ejerccio Del Examen

0.0210 3.1979 -69.290.0271 3.8728 98.170.0054 1.1567 15.840.0334 3.1979 -39.290.0869 1.9364

0.0054 -1.1567 -15.840.0057 1.5594 -13.510.0079 2.0412 24.870.0073 2.0412 -5.130.0263 0.7797

h/Q0 ∆Q Q1(lps)

0.0089 -1.0390 170.590.0331 -1.0390 120.590.0042 -1.0390 70.590.0047 -2.0780 61.180.0085 -1.4937 23.380.0055 -1.4937 -6.620.0312 -2.3802 -41.670.0202 -2.3802 -71.670.0146 -2.0780 -238.820.1310 -1.0390

0.0089 1.0390 -170.590.0331 1.0390 -120.590.0042 1.0390 -70.590.0047 2.0780 -61.180.0085 1.4937 -23.380.0055 1.4937 6.620.0312 2.3802 41.670.0202 2.3802 71.670.0146 2.0780 238.820.1310 1.0390

0.0202 2.3802 71.670.0312 2.3802 41.670.0058 0.8865 -14.950.0280 2.6824 -95.49

Page 34: Ejerccio Del Examen

0.0852 1.3412

0.0058 -0.8865 14.950.0055 1.4937 6.620.0085 1.4937 -23.380.0052 0.9094 14.420.0249 0.4547

0.0202 -2.3802 -71.670.0280 -2.6824 95.490.0058 -0.8865 14.950.0312 -2.3802 -41.670.0852 -1.3412

0.0058 0.8865 -14.950.0052 -0.9094 -14.420.0085 -1.4937 23.380.0055 -1.4937 -6.620.0249 -0.4547

h/Q0 ∆Q Q1(lps)

0.0088 0.7380 171.330.0329 0.7380 121.330.0042 0.7380 71.330.0046 1.4761 62.650.0080 1.1289 24.510.0069 1.1289 -5.490.0328 1.7801 -39.890.0208 1.7801 -69.890.0147 1.4761 -237.350.1337 0.7380

0.0088 -0.7380 -171.330.0329 -0.7380 -121.330.0042 -0.7380 -71.330.0046 -1.4761 -62.650.0080 -1.1289 -24.51

Page 35: Ejerccio Del Examen

0.0069 -1.1289 5.490.0328 -1.7801 39.890.0208 -1.7801 69.890.0147 -1.4761 237.350.1337 -0.7380

0.0208 -1.7801 69.890.0328 -1.7801 39.890.0055 -0.6513 -15.600.0273 -2.0841 -97.570.0865 -1.0421

0.0055 0.6513 15.600.0069 -1.1289 5.490.0080 -1.1289 -24.510.0055 -0.7816 13.640.0258 -0.3908

0.0208 1.7801 -69.890.0273 2.0841 97.570.0055 0.6513 15.600.0328 1.7801 -39.890.0865 1.0421

0.0055 -0.6513 -15.600.0055 0.7816 -13.640.0080 1.1289 24.510.0069 1.1289 -5.490.0258 0.3908

h/Q0 ∆Q Q1(lps)

0.0089 -0.5647 170.760.0330 -0.5647 120.760.0042 -0.5647 70.760.0047 -1.1293 61.520.0084 -0.8382 23.670.0059 -0.8382 -6.330.0316 -1.3264 -41.210.0204 -1.3264 -71.21

Page 36: Ejerccio Del Examen

0.0146 -1.1293 -238.480.1316 -0.5647

0.0089 0.5647 -170.760.0330 0.5647 -120.760.0042 0.5647 -70.760.0047 1.1293 -61.520.0084 0.8382 -23.670.0059 0.8382 6.330.0316 1.3264 41.210.0204 1.3264 71.210.0146 1.1293 238.480.1316 0.5647

0.0204 1.3264 71.210.0316 1.3264 41.210.0057 0.4882 -15.120.0279 1.5235 -96.050.0856 0.7617

0.0057 -0.4882 15.120.0059 0.8382 6.330.0084 0.8382 -23.670.0052 0.5471 14.180.0251 0.2735

0.0204 -1.3264 -71.210.0279 -1.5235 96.050.0057 -0.4882 15.120.0316 -1.3264 -41.210.0856 -0.7617

0.0057 0.4882 -15.120.0052 -0.5471 -14.180.0084 -0.8382 23.670.0059 -0.8382 -6.330.0251 -0.2735

Page 37: Ejerccio Del Examen

h/Q0 ∆Q Q1(lps)

0.0088 0.4164 171.180.0329 0.4164 121.180.0042 0.4164 71.180.0046 0.8328 62.360.0081 0.6277 24.300.0066 0.6277 -5.700.0325 0.9912 -40.220.0207 0.9912 -70.220.0147 0.8328 -237.640.1332 0.4164

0.0088 -0.4164 -171.180.0329 -0.4164 -121.180.0042 -0.4164 -71.180.0046 -0.8328 -62.360.0081 -0.6277 -24.300.0066 -0.6277 5.700.0325 -0.9912 40.220.0207 -0.9912 70.220.0147 -0.8328 237.640.1332 -0.4164

0.0207 -0.9912 70.220.0325 -0.9912 40.220.0055 -0.3635 -15.480.0275 -1.1497 -97.200.0863 -0.5748

0.0055 0.3635 15.480.0066 -0.6277 5.700.0081 -0.6277 -24.300.0054 -0.4227 13.760.0257 -0.2113

0.0207 0.9912 -70.220.0275 1.1497 97.200.0055 0.3635 15.480.0325 0.9912 -40.220.0863 0.5748

0.0055 -0.3635 -15.480.0054 0.4227 -13.76

Page 38: Ejerccio Del Examen

0.0081 0.6277 24.300.0066 0.6277 -5.700.0257 0.2113

h/Q0 ∆Q Q1(lps)

0.0089 -0.3126 170.870.0330 -0.3126 120.870.0042 -0.3126 70.870.0047 -0.6251 61.730.0083 -0.4678 23.830.0060 -0.4678 -6.170.0318 -0.7391 -40.960.0205 -0.7391 -70.960.0146 -0.6251 -238.270.1320 -0.3126

0.0089 0.3126 -170.870.0330 0.3126 -120.870.0042 0.3126 -70.870.0047 0.6251 -61.730.0083 0.4678 -23.830.0060 0.4678 6.170.0318 0.7391 40.960.0205 0.7391 70.960.0146 0.6251 238.270.1320 0.3126

0.0205 0.7391 70.960.0318 0.7391 40.960.0057 0.2712 -15.210.0278 0.8531 -96.340.0857 0.4265

0.0057 -0.2712 15.210.0060 0.4678 6.170.0083 0.4678 -23.830.0053 0.3106 14.070.0252 0.1553

Page 39: Ejerccio Del Examen

0.0205 -0.7391 -70.960.0278 -0.8531 96.340.0057 -0.2712 15.210.0318 -0.7391 -40.960.0857 -0.4265

0.0057 0.2712 -15.210.0053 -0.3106 -14.070.0083 -0.4678 23.830.0060 -0.4678 -6.170.0252 -0.1553

h/Q0 ∆Q Q1(lps)

0.0088 0.2327 171.100.0329 0.2327 121.100.0042 0.2327 71.100.0046 0.4654 62.200.0082 0.3495 24.180.0065 0.3495 -5.820.0323 0.5520 -40.410.0207 0.5520 -70.410.0147 0.4654 -237.800.1329 0.2327

0.0088 -0.2327 -171.100.0329 -0.2327 -121.100.0042 -0.2327 -71.100.0046 -0.4654 -62.200.0082 -0.3495 -24.180.0065 -0.3495 5.820.0323 -0.5520 40.410.0207 -0.5520 70.410.0147 -0.4654 237.800.1329 -0.2327

0.0207 -0.5520 70.410.0323 -0.5520 40.41

Page 40: Ejerccio Del Examen

0.0056 -0.2025 -15.410.0276 -0.6387 -96.980.0861 -0.3193

0.0056 0.2025 15.410.0065 -0.3495 5.820.0082 -0.3495 -24.180.0054 -0.2336 13.840.0255 -0.1168

0.0207 0.5520 -70.410.0276 0.6387 96.980.0056 0.2025 15.410.0323 0.5520 -40.410.0861 0.3193

0.0056 -0.2025 -15.410.0054 0.2336 -13.840.0082 0.3495 24.180.0065 0.3495 -5.820.0255 0.1168

h/Q0 ∆Q Q1(lps)

0.0089 -0.1738 170.920.0330 -0.1738 120.920.0042 -0.1738 70.920.0047 -0.3477 61.850.0083 -0.2607 23.920.0061 -0.2607 -6.080.0320 -0.4118 -40.820.0205 -0.4118 -70.820.0146 -0.3477 -238.150.1322 -0.1738

0.0089 0.1738 -170.920.0330 0.1738 -120.920.0042 0.1738 -70.920.0047 0.3477 -61.850.0083 0.2607 -23.92

Page 41: Ejerccio Del Examen

0.0061 0.2607 6.080.0320 0.4118 40.820.0205 0.4118 70.820.0146 0.3477 238.150.1322 0.1738

0.0205 0.4118 70.820.0320 0.4118 40.820.0056 0.1510 -15.260.0277 0.4759 -96.510.0858 0.2379

0.0056 -0.1510 15.260.0061 0.2607 6.080.0083 0.2607 -23.920.0053 0.1738 14.010.0253 0.0869

0.0205 -0.4118 -70.820.0277 -0.4759 96.510.0056 -0.1510 15.260.0320 -0.4118 -40.820.0858 -0.2379

0.0056 0.1510 -15.260.0053 -0.1738 -14.010.0083 -0.2607 23.920.0061 -0.2607 -6.080.0253 -0.0869

h/Q0 ∆Q Q1(lps)

0.0088 0.1297 171.050.0329 0.1297 121.050.0042 0.1297 71.050.0047 0.2594 62.110.0082 0.1947 24.110.0064 0.1947 -5.89

Page 42: Ejerccio Del Examen

0.0323 0.3075 -40.510.0206 0.3075 -70.510.0147 0.2594 -237.890.1327 0.1297

0.0088 -0.1297 -171.050.0329 -0.1297 -121.050.0042 -0.1297 -71.050.0047 -0.2594 -62.110.0082 -0.1947 -24.110.0064 -0.1947 5.890.0323 -0.3075 40.510.0206 -0.3075 70.510.0147 -0.2594 237.890.1327 -0.1297

0.0206 -0.3075 70.510.0323 -0.3075 40.510.0056 -0.1128 -15.370.0276 -0.3555 -96.860.0861 -0.1778

0.0056 0.1128 15.370.0064 -0.1947 5.890.0082 -0.1947 -24.110.0053 -0.1299 13.880.0255 -0.0649

0.0206 0.3075 -70.510.0276 0.3555 96.860.0056 0.1128 15.370.0323 0.3075 -40.510.0861 0.1778

0.0056 -0.1128 -15.370.0053 0.1299 -13.880.0082 0.1947 24.110.0064 0.1947 -5.890.0255 0.0649

Page 43: Ejerccio Del Examen

h/Q0 ∆Q Q1(lps)

0.0088 -0.0968 170.960.0330 -0.0968 120.960.0042 -0.0968 70.960.0047 -0.1936 61.910.0082 -0.1453 23.970.0062 -0.1453 -6.030.0320 -0.2294 -40.740.0205 -0.2294 -70.740.0146 -0.1936 -238.090.1324 -0.0968

0.0088 0.0968 -170.960.0330 0.0968 -120.960.0042 0.0968 -70.960.0047 0.1936 -61.910.0082 0.1453 -23.970.0062 0.1453 6.030.0320 0.2294 40.740.0205 0.2294 70.740.0146 0.1936 238.090.1324 0.0968

0.0205 0.2294 70.740.0320 0.2294 40.740.0056 0.0841 -15.290.0277 0.2652 -96.600.0859 0.1326

0.0056 -0.0841 15.290.0062 0.1453 6.030.0082 0.1453 -23.970.0053 0.0969 13.980.0254 0.0485

0.0205 -0.2294 -70.740.0277 -0.2652 96.600.0056 -0.0841 15.290.0320 -0.2294 -40.740.0859 -0.1326

0.0056 0.0841 -15.290.0053 -0.0969 -13.98

Page 44: Ejerccio Del Examen

0.0082 -0.1453 23.970.0062 -0.1453 -6.030.0254 -0.0485

h/Q0 ∆Q Q1(lps)

0.0088 0.0723 171.030.0329 0.0723 121.030.0042 0.0723 71.030.0047 0.1445 62.060.0082 0.1084 24.080.0063 0.1084 -5.920.0322 0.1713 -40.570.0206 0.1713 -70.570.0147 0.1445 -237.940.1326 0.0723

0.0088 -0.0723 -171.030.0329 -0.0723 -121.030.0042 -0.0723 -71.030.0047 -0.1445 -62.060.0082 -0.1084 -24.080.0063 -0.1084 5.920.0322 -0.1713 40.570.0206 -0.1713 70.570.0147 -0.1445 237.940.1326 -0.0723

0.0206 -0.1713 70.570.0322 -0.1713 40.570.0056 -0.0628 -15.350.0276 -0.1980 -96.800.0860 -0.0990

0.0056 0.0628 15.350.0063 -0.1084 5.920.0082 -0.1084 -24.080.0053 -0.0723 13.910.0255 -0.0362

Page 45: Ejerccio Del Examen

0.0206 0.1713 -70.570.0276 0.1980 96.800.0056 0.0628 15.350.0322 0.1713 -40.570.0860 0.0990

0.0056 -0.0628 -15.350.0053 0.0723 -13.910.0082 0.1084 24.080.0063 0.1084 -5.920.0255 0.0362

h/Q0 ∆Q Q1(lps)

0.0088 -0.0539 170.980.0330 -0.0539 120.980.0042 -0.0539 70.980.0047 -0.1079 61.950.0082 -0.0809 24.000.0062 -0.0809 -6.000.0321 -0.1278 -40.700.0206 -0.1278 -70.700.0146 -0.1079 -238.050.1324 -0.0539

0.0088 0.0539 -170.980.0330 0.0539 -120.980.0042 0.0539 -70.980.0047 0.1079 -61.950.0082 0.0809 -24.000.0062 0.0809 6.000.0321 0.1278 40.700.0206 0.1278 70.700.0146 0.1079 238.050.1324 0.0539

0.0206 0.1278 70.700.0321 0.1278 40.700.0056 0.0469 -15.30

Page 46: Ejerccio Del Examen

0.0277 0.1478 -96.650.0859 0.0739

0.0056 -0.0469 15.300.0062 0.0809 6.000.0082 0.0809 -24.000.0053 0.0540 13.960.0254 0.0270

0.0206 -0.1278 -70.700.0277 -0.1478 96.650.0056 -0.0469 15.300.0321 -0.1278 -40.700.0859 -0.0739

0.0056 0.0469 -15.300.0053 -0.0540 -13.960.0082 -0.0809 24.000.0062 -0.0809 -6.000.0254 -0.0270

h/Q0 ∆Q Q1(lps)

0.0088 0.0403 171.020.0329 0.0403 121.020.0042 0.0403 71.020.0047 0.0805 62.030.0082 0.0604 24.060.0063 0.0604 -5.940.0322 0.0954 -40.610.0206 0.0954 -70.610.0147 0.0805 -237.970.1326 0.0403

0.0088 -0.0403 -171.020.0329 -0.0403 -121.020.0042 -0.0403 -71.020.0047 -0.0805 -62.030.0082 -0.0604 -24.06

Page 47: Ejerccio Del Examen

0.0063 -0.0604 5.940.0322 -0.0954 40.610.0206 -0.0954 70.610.0147 -0.0805 237.970.1326 -0.0403

0.0206 -0.0954 70.610.0322 -0.0954 40.610.0056 -0.0350 -15.340.0276 -0.1103 -96.760.0860 -0.0551

0.0056 0.0350 15.340.0063 -0.0604 5.940.0082 -0.0604 -24.060.0053 -0.0403 13.920.0254 -0.0201

0.0206 0.0954 -70.610.0276 0.1103 96.760.0056 0.0350 15.340.0322 0.0954 -40.610.0860 0.0551

0.0056 -0.0350 -15.340.0053 0.0403 -13.920.0082 0.0604 24.060.0063 0.0604 -5.940.0254 0.0201

h/Q0 ∆Q Q1(lps)

0.0088 -0.0300 170.990.0330 -0.0300 120.990.0042 -0.0300 70.990.0047 -0.0601 61.970.0082 -0.0451 24.010.0063 -0.0451 -5.990.0321 -0.0712 -40.68

Page 48: Ejerccio Del Examen

0.0206 -0.0712 -70.680.0146 -0.0601 -238.030.1325 -0.0300

0.0088 0.0300 -170.990.0330 0.0300 -120.990.0042 0.0300 -70.990.0047 0.0601 -61.970.0082 0.0451 -24.010.0063 0.0451 5.990.0321 0.0712 40.680.0206 0.0712 70.680.0146 0.0601 238.030.1325 0.0300

0.0206 0.0712 70.680.0321 0.0712 40.680.0056 0.0261 -15.310.0277 0.0823 -96.680.0859 0.0412

0.0056 -0.0261 15.310.0063 0.0451 5.990.0082 0.0451 -24.010.0053 0.0301 13.950.0254 0.0150

0.0206 -0.0712 -70.680.0277 -0.0823 96.680.0056 -0.0261 15.310.0321 -0.0712 -40.680.0859 -0.0412

0.0056 0.0261 -15.310.0053 -0.0301 -13.950.0082 -0.0451 24.010.0063 -0.0451 -5.990.0254 -0.0150

Page 49: Ejerccio Del Examen

h/Q0 ∆Q Q1(lps) NODO ALTURA(m)

0.0088 0.0224 171.01 1 500.0330 0.0224 121.01 2 550.0042 0.0224 71.01 3 600.0047 0.0448 62.02 4 650.0082 0.0336 24.04 5 650.0063 0.0336 -5.96 6 550.0322 0.0531 -40.62 7 550.0206 0.0531 -70.62 8 580.0147 0.0448 -237.98 9 600.1325 0.0224 10 53

11 600.0088 -0.0224 -171.01 12 600.0330 -0.0224 -121.01 13 550.0042 -0.0224 -71.01 14 630.0047 -0.0448 -62.02 15 650.0082 -0.0336 -24.040.0063 -0.0336 5.960.0322 -0.0531 40.620.0206 -0.0531 70.620.0147 -0.0448 237.980.1325 -0.0224

0.0206 -0.0531 70.620.0322 -0.0531 40.620.0056 -0.0195 -15.330.0276 -0.0614 -96.740.0860 -0.0307

0.0056 0.0195 15.330.0063 -0.0336 5.960.0082 -0.0336 -24.040.0053 -0.0224 13.930.0254 -0.0112

0.0206 0.0531 -70.620.0276 0.0614 96.740.0056 0.0195 15.330.0322 0.0531 -40.620.0860 0.0307

0.0056 -0.0195 -15.330.0053 0.0224 -13.930.0082 0.0336 24.04

Los nudos 3, 4, 5 son los nudos mas alejados de la red por lo tanto sumaremos la perdida de carga que existe desde 1 hasta cada uno de los nudos mencionados.

Page 50: Ejerccio Del Examen

0.0063 0.0336 -5.960.0254 0.0112

Page 51: Ejerccio Del Examen

32 PRESIÓN SUPUESTA5 25.4874

10 16.500715 10.4815 11.505 25.48745 22.05758 17.7496

10 15.71193 25.5121

10 15.840210 15.76605 22.0575

13 12.749615 10.5688

NUDO 4 3 5hf 6.52 5.50 5.50

∆ ALTURA(m)

PRESIONES HIDRODINÁMICAS(m)

Los nudos 3, 4, 5 son los nudos mas alejados de la red por lo tanto sumaremos la perdida de carga que existe desde 1 hasta cada uno de los nudos mencionados.

Page 52: Ejerccio Del Examen

k 0.0000015v 0.000001003pi 3.1415926536

ITERACIO1

CIRCUITO TRAMOLONGITUD DIÁMETRO CAUDAL SUPUESTO

REYNOLDSm m Q0(m3/seg)

1

23 50 0.1 0.04 507772.500434 100 0.1 0.03 380829.375345 50 0.1 0.02 253886.250252 100 0.1 -0.02 253886.2502

2

58 100 0.1 0.015 190414.687687 50 0.1 0.005 63471.562576 100 0.1 -0.005 63471.562565 50 0.1 -0.015 190414.6876

ITERACIO2

CIRCUITO TRAMOLONGITUD DIÁMETRO CAUDAL SUPUESTO

REYNOLDSm m Q0(m3/seg)

1

23 50 0.1 0.0311 394858.144734 100 0.1 0.0211 267915.019645 50 0.1 0.0111 140971.894552 100 0.1 -0.0289 366800.6059

2

58 100 0.1 0.0135 171123.701787 50 0.1 0.0035 44180.576676 100 0.1 -0.0065 82762.548565 50 0.1 -0.0165 209705.6736

Page 53: Ejerccio Del Examen

ITERACIO2

CIRCUITO TRAMOLONGITUD DIÁMETRO CAUDAL SUPUESTO

REYNOLDSm m Q0(m3/seg)

1

23 50 0.1 0.0298 378591.864134 100 0.1 0.0198 251648.739045 50 0.1 0.0098 124705.613952 100 0.1 -0.0302 383066.8865

2

58 100 0.1 0.0133 169236.808287 50 0.1 0.0033 42293.683176 100 0.1 -0.0067 84649.442065 50 0.1 -0.0167 211592.5671

ITERACIO3

CIRCUITO TRAMOLONGITUD DIÁMETRO CAUDAL SUPUESTO

REYNOLDSm m Q0(m3/seg)

1

23 50 0.1 0.0297 376982.243434 100 0.1 0.0197 250039.118345 50 0.1 0.0097 123095.993252 100 0.1 -0.0303 384676.5072

2

58 100 0.1 0.0133 169049.712087 50 0.1 0.0033 42106.586976 100 0.1 -0.0067 84836.538265 50 0.1 -0.0167 211779.6633

CAUDAL EN EL TRAMO 12

CIRCUITO TRAMOLONGITUD DIÁMETRO CAUDAL SUPUESTO

REYNOLDSm m Q0(m3/seg)

1

23 50 0.1 0.0297 376836.024334 100 0.1 0.0197 249892.899245 50 0.1 0.0097 122949.774152 100 0.1 -0.0303 384822.7263

Page 54: Ejerccio Del Examen

2

58 100 0.1 0.0133 169031.169287 50 0.1 0.0033 42088.044176 100 0.1 -0.0067 84855.081065 50 0.1 -0.0167 211798.2061

CAMBIAMOS LOS DIAMETROS

CIRCUITO TRAMOLONGITUD DIÁMETRO CAUDAL SUPUESTO

REYNOLDSm m Q0(m3/seg)

1

23 50 0.15 0.0297 251224.016234 100 0.15 0.0197 166595.266145 50 0.15 0.0097 81966.516152 100 0.15 -0.0303 256548.4842

2

58 100 0.1 0.0133 169031.169287 50 0.1 0.0033 42088.044176 100 0.1 -0.0067 84855.081065 50 0.1 -0.0167 211798.2061

PRESION(m)AUMENTO DE DIAMETRO

NUDOS COTA(m) D1 D21 22 0 02 0 15.76 20.453 0 10.65 15.334 0 5.81 10.495 0 5.13 9.826 0 3.34 8.037 0 2.65 7.348 0 2.75 7.44

Page 55: Ejerccio Del Examen

COEFICIENTE DE FRICCIONK

f0 f1 f2 f3 f4 f50.0150 0.0132 0.0134 0.0133 0.0133 0.0133 5510.68570.0150 0.0139 0.0140 0.0140 0.0140 0.0140 11578.55830.0150 0.0151 0.0151 0.0151 0.0151 0.0151 6226.76130.0150 0.0151 0.0151 0.0151 0.0151 0.0151 12453.5227

0.0150 0.0160 0.0159 0.0159 0.0159 0.0159 13144.01560.0150 0.0206 0.0198 0.0199 0.0199 0.0199 8214.44010.0150 0.0206 0.0198 0.0199 0.0199 0.0199 16428.88030.0150 0.0160 0.0159 0.0159 0.0159 0.0159 6572.0078

COEFICIENTE DE FRICCIONK

f0 f1 f2 f3 f4 f50.0150 0.0138 0.0139 0.0139 0.0139 0.0139 5752.85150.0150 0.0149 0.0149 0.0149 0.0149 0.0149 12331.07140.0150 0.0171 0.0168 0.0169 0.0169 0.0169 6967.02150.0150 0.0140 0.0141 0.0141 0.0141 0.0141 11655.0206

Σ

0.0150 0.0164 0.0162 0.0162 0.0162 0.0162 13416.35720.0150 0.0225 0.0214 0.0215 0.0215 0.0215 8895.06630.0150 0.0193 0.0187 0.0188 0.0188 0.0188 15528.38740.0150 0.0157 0.0156 0.0156 0.0156 0.0156 6452.7785

Σ

Page 56: Ejerccio Del Examen

COEFICIENTE DE FRICCIONK

f0 f1 f2 f3 f4 f50.0150 0.0139 0.0140 0.0140 0.0140 0.0140 5795.25190.0150 0.0151 0.0151 0.0151 0.0151 0.0151 12473.87150.0150 0.0176 0.0172 0.0173 0.0173 0.0173 7138.95770.0150 0.0139 0.0140 0.0140 0.0140 0.0140 11566.7044

0.0150 0.0164 0.0163 0.0163 0.0163 0.0163 13445.14320.0150 0.0228 0.0216 0.0218 0.0217 0.0217 8982.67480.0150 0.0192 0.0186 0.0187 0.0187 0.0187 15455.35240.0150 0.0157 0.0156 0.0156 0.0156 0.0156 6441.8895

COEFICIENTE DE FRICCIONK

f0 f1 f2 f3 f4 f50.0150 0.0139 0.0140 0.0140 0.0140 0.0140 5799.57730.0150 0.0151 0.0151 0.0151 0.0151 0.0151 12488.65700.0150 0.0176 0.0173 0.0173 0.0173 0.0173 7157.56320.0150 0.0139 0.0140 0.0140 0.0140 0.0140 11558.2329

0.0150 0.0164 0.0163 0.0163 0.0163 0.0163 13448.02040.0150 0.0228 0.0216 0.0218 0.0218 0.0218 8991.64510.0150 0.0192 0.0186 0.0187 0.0187 0.0187 15448.22750.0150 0.0157 0.0156 0.0156 0.0156 0.0156 6440.8167

COEFICIENTE DE FRICCIONK

f0 f1 f2 f3 f4 f50.0150 0.0140 0.0140 0.0140 0.0140 0.0140 5799.97150.0150 0.0151 0.0151 0.0151 0.0151 0.0151 12490.00620.0150 0.0176 0.0173 0.0173 0.0173 0.0173 7159.26910.0150 0.0139 0.0140 0.0140 0.0140 0.0140 11557.4656

Page 57: Ejerccio Del Examen

0.0150 0.0164 0.0163 0.0163 0.0163 0.0163 13448.30580.0150 0.0228 0.0216 0.0218 0.0218 0.0218 8992.53710.0150 0.0192 0.0186 0.0187 0.0187 0.0187 15447.52250.0150 0.0157 0.0156 0.0156 0.0156 0.0156 6440.7105

COEFICIENTE DE FRICCIONK

f0 f1 f2 f3 f4 f50.0150 0.0151 0.0151 0.0151 0.0151 0.0151 819.04980.0150 0.0164 0.0163 0.0163 0.0163 0.0163 1772.00000.0150 0.0193 0.0187 0.0188 0.0188 0.0188 1023.21540.0150 0.0150 0.0150 0.0150 0.0150 0.0150 1631.6947

0.0150 0.0164 0.0163 0.0163 0.0163 0.0163 13448.30580.0150 0.0228 0.0216 0.0218 0.0218 0.0218 8992.53710.0150 0.0192 0.0186 0.0187 0.0187 0.0187 15447.52250.0150 0.0157 0.0156 0.0156 0.0156 0.0156 6440.7105

PRESION(m)AUMENTO DE DIAMETRO

D3 D4 D D(cm) re k/d0.00 0.00 1 0.15 507772.5 0.00001

21.99 21.99 2 0.2 380829.375 0.000007516.88 21.27 3 0.6 126943.125 0.000002512.04 20.5811.37 20.499.58 18.698.89 18.00 D1 D2 D38.98 18.10 K 1734.21850596 431.718653 2.18191652

hf 6.24 1.55 0.01

D1 ES LA PERDIDA REFERIDA A LA PERDIDA EN EL TRAMO 12 SEGÚN LOS DATO DADOS DEL PROBLEMA, LOS

DEMAS(D2,D3) SON PERDIDAS CON VARIACION DE LOS DIAMETROS.

Page 58: Ejerccio Del Examen

D1 ES LA PERDIDA REFERIDA A LA PERDIDA EN EL TRAMO 12 SEGÚN LOS DATO DADOS DEL PROBLEMA, LOS

DEMAS(D2,D3) SON PERDIDAS CON VARIACION DE LOS DIAMETROS.

Page 59: Ejerccio Del Examen

h/Q0 ∆Q Qh(m)

8.8171 220.4274 -0.0089 0.031110.4207 347.3567 -0.0089 0.0211

2.4907 124.5352 -0.0089 0.0111-4.9814 249.0705 -0.0089 -0.028916.7471 941.3899 -0.0089

2.9574 197.1602 -0.0015 0.01350.2054 41.0722 -0.0015 0.0035

-0.4107 82.1444 -0.0015 -0.0065-1.4787 98.5801 -0.0015 -0.01651.2733 418.9570 -0.0015

h/Q0 ∆Q Qh(m)

5.5660 178.9431 -0.0013 0.02985.4926 260.2488 -0.0013 0.01980.8592 77.3696 -0.0013 0.0098

-9.7309 336.7704 -0.0013 -0.03022.1869 853.3319 -0.0013

2.4380 180.8571 -0.0001 0.01330.1077 30.9579 -0.0001 0.0033

-0.6600 101.2397 -0.0001 -0.0067-1.7610 106.5977 -0.0001 -0.01670.1248 419.6524 -0.0001

PERDIDA DE CARGA

PERDIDA DE CARGA

Page 60: Ejerccio Del Examen

h/Q0 ∆Q Q Q(lps)h(m)

5.1546 172.8361 -0.0001 0.0297 29.69694054.9020 247.2788 -0.0001 0.0197 19.69694050.6890 70.1313 -0.0001 0.0097 9.69694051

-10.5327 349.0399 -0.0001 -0.0303 -30.30305950.2128 839.2860 -0.0001

2.3897 179.2467 0.0000 0.0133 13.31696470.0997 29.9276 0.0000 0.0033 3.31696473

-0.6872 103.0609 0.0000 -0.0067 -6.68303527-1.7898 107.3753 0.0000 -0.0167 -16.68303530.0124 419.6105 0.0000

h/Q0 ∆Q Q Q(lps)h(m)

5.1147 172.2297 0.0000 0.0297 29.68544.8452 245.9883 0.0000 0.0197 19.68540.6730 69.4065 0.0000 0.0097 9.6854

-10.6136 350.2498 0.0000 -0.0303 -30.31460.0193 837.8743 0.0000

2.3849 179.0868 0.0000 0.0133 13.31550.0989 29.8250 0.0000 0.0033 3.3155

-0.6900 103.2410 0.0000 -0.0067 -6.6845-1.7926 107.4524 0.0000 -0.0167 -16.68450.0012 419.6052 0.0000

h/Q0 ∆Q Q Q(lps)h(m)

5.11 172.1746 0.0000 0.0297 29.6844.84 245.8710 0.0000 0.0197 19.6840.67 69.3405 0.0000 0.0097 9.684

-10.62 350.3597 0.0000 -0.0303 -30.316

PERDIDA DE CARGA

PERDIDA DE CARGA

PERDIDA DE CARGA

Page 61: Ejerccio Del Examen

0.00 837.7459 0.0000

2.38 179.0710 0.0000 0.0133 13.3150.10 29.8148 0.0000 0.0033 3.315

-0.69 103.2589 0.0000 -0.0067 -6.685-1.79 107.4600 0.0000 -0.0167 -16.6850.00 419.6047 0.0000

h/Q0 ∆Q Q Q(lps)h(m)

0.72 24.3138 0.0000 0.0297 29.6650.69 34.8826 0.0000 0.0197 19.6650.10 9.9103 0.0000 0.0097 9.665

-1.50 49.4641 0.0000 -0.0303 -30.3350.00 118.5708 0.0000

2.38 179.0710 0.0000 0.0133 13.3150.10 29.8148 0.0000 0.0033 3.315

-0.69 103.2589 0.0000 -0.0067 -6.685-1.79 107.4600 0.0000 -0.0167 -16.6850.00 419.6047 0.0000

f0.015 0.013 0.0130.015 0.014 0.0140.015 0.017 0.017

PERDIDA DE CARGA