8.-red de tuberias completo
DESCRIPTION
diseño de red de tuberiasTRANSCRIPT
RED DE AGUA POTABLE
Asignar Q = 100.0 (l/s)
Asignar k2 = 1.00
Period K2Qdis= 100.00 (l/s)
0 a 2 0.6022 a 4 0.5804 a 6 0.789 Nodo % qn6 a 8 1.280 A 0.12 12.0 qA8 a10 1.590 B 0.08 8.0 12.0010 a12 1.463 C 0.13 13.0
12 a14 1.395 D 0.16 16.014 a16 1.120 E 0.07 7.0 416 a18 0.926 F 0.13 13.0 Q =18a20 0.820 G 0.08 8.0 qE L =
20 a22 0.770 H 0.10 10.0 7.0 E22 a24 0.665 J 0.06 6.0
∑ 12 K 0.07 7.0Prom 1 ∑ 1.00 100.0 5
Q = 12.33Nodo Elev Nodo Tram Long L = 300T1 3369.5 T1-A 0 400A 3334.1 A-B 1 230 qF
B 3339.3 B-C 2 250 13.00 F C 3343.9 C-D 3 260 6D 3349.0 A-E 4 240 9 Q = 4.77 Q =E 3335.4 E-F 5 300 L = 180 L =
F 3336.3 F-D 6 260 qG G q7
G 3329.2 J-D 7 240 8.00 qD
H 3324.1 H-J 8 270 16.00J 3319.0 G-F 9 180 10K 3330.9 H-G 10 200 Q = 12.77 IIIT2 3371.0 C-K 11 270 L = 200
J-K 12 260T2-H 13 380
HqH 8
10.00 Q = 17.23L = 270
13Q = 40.00L = 380
T2
RED DE AGUA POTABLE
T1
0Q = 60.0L = 400
A1
19.33 Q = 28.67240 L = 230
B .qB
8.00
I 2Q = 20.67L = 250
C qC
3 13.004.10 Q = 4.10260 L = 260
D II7 11Q = 7.80 Q = 3.57L = 240 L = 270
K12
J Q = 3.43 qK
L = 260 7.00qJ
6.00
SOLUCION CON EL METODO DE H. CROSS
▼ 3369.50
T1
0Q = 60.0L = 400.0
qA12.00
A4 1Q = 19.33 Q = 28.67
qE L = 240 L = 2307.00 E B qB
8.00
5I
2
IVQ = 12.33 Q = 20.67L = 300 L = 250
qF
13.00 F C qC
6 3 13.009 Q = 4.10 Q = 4.10Q = 4.77 L = 260 L = 260
qG G L = 180
8.00 qD DII
1116.00 Q =
10 7 L =
Q = 12.77 III Q = 7.80L = 200 L = 240
H KqH 8 12
10.00 Q = 17.23 J Q = 3.43 qK
L = 270 L = 260 7.0013 qJQ = 40.00 6.00L = 380
T2▼ 3371.00
Ecuación de compatibilidad
AnilloI
AnilloII
0852166
852155
852144
852133
852122
852111 ,,,,,, QKQKQKQKQKQK
0852,11212
852,133
852,11111
852,177 QKQKQKQK
AnilloIII
AnilloIV
Cálculo de las constantes de Tramo
Tramo 0 1 2 3 4 5 6 7 8 9 10 11 12Qo = 0.060 0.029 0.021 0.004 0.019 0.012 0.004 0.008 0.017 0.005 0.013 0.004 0.003D = 0.276 0.191 0.162 0.072 0.157 0.125 0.072 0.100 0.148 0.078 0.127 0.067 0.066
Dcom 0.400 0.250 0.225 0.125 0.200 0.175 0.125 0.125 0.200 0.150 0.200 0.100 0.100L = 400 230 250 260 240 300 260 240 270 180 200 270 260C = 150 150 150 150 150 150 150 150 150 150 150 150 150K = 34.52 195.8 356 6472 606 1451 6472 5975 681 1844 505 19925 19187
05.336933711313101099554400 nnnnnn QKQKQKQKQKQK
0852,188
852,177
852,11010
852,199
852,166 QKQKQKQKQK
8748521
6710,, DC
L,K
SOLUCION CON EL METODO DE H. CROSS
ITERACION 1Anillo Tramo Qo K hf hf/Q q1 q2 q3
1 0.0287 195.80 0.2722 9.495 0.0007852 0.0207 355.51 0.2696 13.045 0.000785
I 3 0.0041 6472.39 0.2454 59.862 0.000785 0.000640694 -0.0193 605.67 -0.4060 20.998 0.0007855 -0.0123 1450.67 -0.4230 34.292 0.0007856 -0.0041 6472.39 -0.2454 59.862 0.000785 -0.0016053
-0.2872 197.555 0.000785
Anillo Tramo Qo K hf hf/Q q1 q2 q3II 7 0.0078 5974.52 0.7455 95.581 -6.407E-04 -0.0016053
11 0.0036 19925.41 0.5835 163.633 -6.407E-043 -0.0041 6472.39 -0.2454 59.862 -0.000785 -6.407E-0412 -0.0034 19187.43 -0.5240 152.586 -6.407E-04
0.5597 471.662 -6.407E-04
Anillo Tramo Qo K hf hf/Q q1 q2 q36 0.0041 6472.39 0.2454 59.862 -0.000785 0.0016059 0.0048 1843.96 0.0924 19.388 0.001605
III 10 0.0128 504.73 0.1568 12.286 0.0016057 -0.0078 5974.52 -0.7455 95.581 0.00064069 0.0016058 -0.0172 681.38 -0.3691 21.419 0.001605
-0.6200 208.536 0.001605
Anillo Tramo Qo K hf hf/Q q1 q2 q33.57 0 0.0600 34.52 0.1885 3.141270 4 0.0193 605.67 0.4060 20.998 -0.000785
IV 5 0.0123 1450.67 0.4230 34.292 -0.0007859 -0.0048 1843.96 -0.0924 19.388 -0.001605310 -0.0128 504.73 -0.1568 12.286 -0.001605313 -0.0400 133.12 -0.3430 8.574
▼T2 - ▼T1 = 1.5001.92517 98.680
Nodos Cotashf Presión
Tramo Atrás Adelante Atrás Adelante0 T1 A 3369.50 3334.10 0.1885 35.211 A B 3334.10 3339.30 0.2722 29.742 B C 3339.30 3343.90 0.2696 24.873 C D 3343.90 3349.00 0.2454 19.524 A E 3334.10 3335.40 0.4060 33.515 E F 3335.40 3336.30 0.4230 32.18
6 F D 3336.30 3349.00 0.2454 19.2413 T2 H 3371.00 3324.10 0.3430 46.56
Ec.(1) 10 H G 3324.10 3329.20 0.1568 41.309 G F 3329.20 3336.30 0.0924 34.118 H J 3324.10 3319.00 0.3691 51.29
Ec.(2) 7 J D 3319.00 3349.00 0.7455 20.5412 J K 3319.00 3330.90 0.5240 38.86
0852166
852155
852144
852133
852122
852111 ,,,,,, QKQKQKQKQKQK
0852,11212
852,133
852,11111
852,177 QKQKQKQK
8521,f QKh
11 C K 3343.90 3330.90 0.5835 37.29Ec.(3)
Ec.(4)
130.040
0.226
0.300
380
150
133
05.336933711313101099554400 nnnnnn QKQKQKQKQKQK
0852,188
852,177
852,11010
852,199
852,166 QKQKQKQKQK
ITERACION 2q4 Q1 Anillo Tramo Qo K hf hf/Q q1 q2
0.02945 1 0.02945 195.80 0.2861 9.716 -0.00168120.02145 2 0.02145 355.51 0.2889 13.466 -0.00168120.00553 I 3 0.00553 6472.39 0.4265 77.191 -0.0016812 -0.0004007
0.0105342 -0.00801 4 -0.00801 605.67 -0.0795 9.917 -0.00168120.0105342 -0.00101 5 -0.00101 1450.67 -0.0041 4.084 -0.0016812
-0.00492 6 -0.00492 6472.39 -0.3441 69.928 -0.0016812
0.5738 184.301 -0.0016812
q4 Q1 Anillo Tramo Qo K hf hf/Q q1 q20.00555 II 7 0.00555 5974.52 0.3975 71.567 4.007E-04
0.00293 11 0.00293 19925.41 0.4044 138.226 4.007E-04-0.00553 3 -0.00553 6472.39 -0.4265 77.191 0.0016812 4.007E-04-0.00407 12 -0.00407 19187.43 -0.7193 176.528 4.007E-04
-0.3440 463.512 4.007E-04
q4 Q1 Anillo Tramo Qo K hf hf/Q q1 q20.00492 6 0.00492 6472.39 0.3441 69.928 0.0016812
0.0105342 0.01691 9 0.01691 1843.96 0.9640 57.020
0.0105342 0.02491 III 10 0.02491 504.73 0.5407 21.712-0.00555 7 -0.00555 5974.52 -0.3975 71.567 -0.0004007-0.01563 8 -0.01563 681.38 -0.3080 19.707
1.1433 239.934
q4 Q1 Anillo Tramo Qo K hf hf/Q q1 q2-0.0105342 0.04947 0 0.04947 34.52 0.13180 2.665-0.0105342 0.00801 4 0.00801 605.67 0.07948 9.917 0.0016812
-0.0105342 0.00101 IV 5 0.00101 1450.67 0.00414 4.084 0.0016812-0.0105342 -0.01691 9 -0.01691 1843.96 -0.9640 57.020-0.0105342 -0.02491 10 -0.02491 504.73 -0.5407 21.712-0.0105342 -0.05053 13 -0.05053 133.12 -0.52879 10.464
-0.0105342 ▼T2 - ▼T1 = 1.500-0.31807 105.861
Nodos Cotashf Presión
Tramo Atrás Adelante Atrás Adelante0 T1 A 3369.50 3334.10 0.1318 35.271 A B 3334.10 3339.30 0.2861 29.782 B C 3339.30 3343.90 0.2889 24.893 C D 3343.90 3349.00 0.4265 19.374 A E 3334.10 3335.40 0.0795 33.895 E F 3335.40 3336.30 0.0041 32.98
6 F D 3336.30 3349.00 0.3441 19.9413 T2 H 3371.00 3324.10 0.5288 46.3710 H G 3324.10 3329.20 0.5407 40.739 G F 3329.20 3336.30 0.9640 32.678 H J 3324.10 3319.00 0.3080 51.167 J D 3319.00 3349.00 0.3975 20.77
12 J K 3319.00 3330.90 0.7193 38.54
11 C K 3343.90 3330.90 0.4044 37.49
ITERACION 3q3 q4 Q1 Anillo Tramo Qo K hf hf/Q q1
0.027770 1 0.02777 195.796 0.2566 9.241 -0.00079080.019770 2 0.01977 355.512 0.2483 12.562 -0.00079080.003444 I 3 0.00344 6472.395 0.1777 51.595 -0.0007908
-0.0016224 -0.01132 4 -0.01132 605.673 -0.1506 13.307 -0.0007908-0.0016224 -0.00432 5 -0.00432 1450.672 -0.0606 14.024 -0.0007908
0.0025729 -0.00403 6 -0.00403 6472.395 -0.2376 58.974 -0.0007908
0.2339 159.702 -0.0007908
q3 q4 Q1 Anillo Tramo Qo K hf hf/Q q10.00257293 0.008528 II 7 0.00853 5974.518 0.8794 103.127
0.003326 11 0.00333 19925.406 0.5129 154.202-0.003444 3 -0.00344 6472.395 -0.1777 51.595 0.0007908
-0.00367 12 -0.00367 19187.428 -0.5938 161.6260.6208 470.550
q3 q4 Q1 Anillo Tramo Qo K hf hf/Q q1-0.002573 0.004029 6 0.00403 6472.395 0.2376 58.974 0.0007908-0.002573 -0.0016224 0.012710 9 0.01271 1843.960 0.5684 44.719
-0.002573 -0.0016224 0.020710 III 10 0.02071 504.728 0.3843 18.554-0.002573 -0.008528 7 -0.00853 5974.518 -0.8794 103.127-0.002573 -0.01820 8 -0.01820 681.383 -0.4084 22.439-0.002573 -0.0976 247.813
q3 q4 Q1 Anillo Tramo Qo K hf hf/Q q10.0016224 0.051088 0 0.05109 34.520 0.1399 2.7390.0016224 0.011318 4 0.01132 605.673 0.1506 13.307 0.0007908
0.0016224 0.004318 IV 5 0.00432 1450.672 0.0606 14.024 0.00079080.00257293 0.0016224 -0.012710 9 -0.01271 1843.960 -0.5684 44.719
0.0025729 0.0016224 -0.02071 10 -0.02071 504.728 -0.3843 18.5540.0016224 -0.048912 13 -0.04891 133.121 -0.4978 10.177
0.0016224 ▼T2 - ▼T1 = 1.5000.4007 103.519
Nodos Cotashf
Tramo Atrás Adelante Atrás Adelante0 T1 A 3369.50 3334.10 0.13991 A B 3334.10 3339.30 0.25662 B C 3339.30 3343.90 0.24833 C D 3343.90 3349.00 0.17774 A E 3334.10 3335.40 0.15065 E F 3335.40 3336.30 0.0606
6 F D 3336.30 3349.00 0.237613 T2 H 3371.00 3324.10 0.497810 H G 3324.10 3329.20 0.38439 G F 3329.20 3336.30 0.56848 H J 3324.10 3319.00 0.40847 J D 3319.00 3349.00 0.8794
12 J K 3319.00 3330.90 0.5938
11 C K 3343.90 3330.90 0.5129
ITERACION 4q2 q3 q4 Q1 Anillo Tramo Qo K hf hf/Q
0.026979 1 0.02698 195.796 0.2433 9.0160.018979 2 0.01898 355.512 0.2303 12.132
0.00071241 0.003365 I 3 0.00337 6472.395 0.1703 50.5930.0020898 -0.01002 4 -0.01002 605.673 -0.1202 11.9940.0020898 -0.00302 5 -0.00302 1450.672 -0.0312 10.339
-0.0002127 -0.00503 6 -0.00503 6472.395 -0.3587 71.278
0.1337 165.352
q2 q3 q4 Q1 Anillo Tramo Qo K hf hf/Q-7.124E-04 -0.0002127 0.007603 II 7 0.00760 5974.518 0.7110 93.515
-7.124E-04 0.002614 11 0.00261 19925.406 0.3282 125.574-7.124E-04 -0.003365 3 -0.00337 6472.395 -0.1703 50.593-7.124E-04 -0.00439 12 -0.00439 19187.428 -0.8245 187.971-7.124E-04 0.0444 457.652
q2 q3 q4 Q1 Anillo Tramo Qo K hf hf/Q0.000213 0.005032 6 0.00503 6472.395 0.3587 71.2780.000213 0.0020898 0.015013 9 0.01501 1843.960 0.7737 51.534
0.000213 0.0020898 0.023013 III 10 0.02301 504.728 0.4671 20.2980.00071241 0.000213 -0.007603 7 -0.00760 5974.518 -0.7110 93.515
0.000213 -0.01799 8 -0.01799 681.383 -0.3996 22.2150.000213 0.4889 258.841
q2 q3 q4 Q1 Anillo Tramo Qo K hf hf/Q-0.0020898 0.048998 0 0.04900 34.5200 0.1295 2.643-0.0020898 0.010019 4 0.01002 605.6735 0.1202 11.994
-0.0020898 0.003019 IV 5 0.00302 1450.6725 0.0312 10.339-0.0002127 -0.0020898 -0.015013 9 -0.01501 1843.9599 -0.7737 51.534-0.0002127 -0.0020898 -0.02301 10 -0.02301 504.7279 -0.4671 20.298
-0.0020898 -0.051002 13 -0.05100 133.1210 -0.5379 10.547
-0.0020898 ▼T2 - ▼T1 = 1.5000.0022 107.354
PresiónNodos Cotas
Tramo Atrás Adelante Atrás Adelante35.26 0 T1 A 3369.50 3334.1029.80 1 A B 3334.10 3339.3024.96 2 B C 3339.30 3343.9019.68 3 C D 3343.90 3349.0033.81 4 A E 3334.10 3335.4032.85 5 E F 3335.40 3336.30
19.91 6 F D 3336.30 3349.0046.40 13 T2 H 3371.00 3324.1040.92 10 H G 3324.10 3329.2033.25 9 G F 3329.20 3336.3051.09 8 H J 3324.10 3319.0020.21 7 J D 3319.00 3349.0038.60 12 J K 3319.00 3330.90
37.44 11 C K 3343.90 3330.90
ITERACION 5q1 q2 q3 q4 Q1 Anillo Tramo Qo K hf
-0.0004366 0.026542 1 0.02654 195.796 0.2360-0.0004366 0.018542 2 0.01854 355.512 0.2205-0.0004366 5.2372E-05 0.002981 I 3 0.00298 6472.395 0.1360-0.0004366 0.0000112 -0.01044 4 -0.01044 605.673 -0.1298-0.0004366 0.0000112 -0.00344 5 -0.00344 1450.672 -0.0398-0.0004366 0.0010198 -0.00445 6 -0.00445 6472.395 -0.2855
-0.0004366 0.1374
q1 q2 q3 q4 Q1 Anillo Tramo Qo K hf-5.237E-05 0.00101984 0.008570 II 7 0.00857 5974.518 0.8875
-5.237E-05 0.002561 11 0.00256 19925.406 0.31610.0004366 -5.237E-05 -0.002981 3 -0.00298 6472.395 -0.1360
-5.237E-05 -0.00444 12 -0.00444 19187.428 -0.8428-5.237E-05 0.2248
q1 q2 q3 q4 Q1 Anillo Tramo Qo K hf0.0004366 -0.001020 0.004449 6 0.00445 6472.395 0.2855
-0.001020 0.0000112 0.014004 9 0.01400 1843.960 0.6802
-0.001020 0.0000112 0.022004 III 10 0.02200 504.728 0.42995.2372E-05 -0.001020 -0.008570 7 -0.00857 5974.518 -0.8875
-0.001020 -0.01901 8 -0.01901 681.383 -0.4426-0.001020 0.0654
q1 q2 q3 q4 Q1 Anillo Tramo Qo K hf-0.0000112 0.048987 0 0.04899 34.520 0.1295
0.0004366 -0.0000112 0.010445 4 0.01044 605.673 0.1298
0.0004366 -0.0000112 0.003445 IV 5 0.00344 1450.672 0.03980.00101984 -0.0000112 -0.014004 9 -0.01400 1843.960 -0.6802
0.0010198 -0.0000112 -0.02200 10 -0.02200 504.728 -0.4299-0.0000112 -0.051013 13 -0.05101 133.121 -0.5381
-0.0000112 ▼T2 - ▼T1 = 1.5000.15091
hf PresiónNodos Cotas
Tramo Atrás Adelante Atrás0.1295 35.27 0 T1 A 3369.500.2433 29.83 1 A B 3334.100.2303 25.00 2 B C 3339.300.1703 19.73 3 C D 3343.900.1202 33.85 4 A E 3334.100.0312 32.92 5 E F 3335.40
0.3587 19.86 6 F D 3336.300.5379 46.36 13 T2 H 3371.000.4671 40.79 10 H G 3324.100.7737 32.92 9 G F 3329.200.3996 51.06 8 H J 3324.100.7110 20.35 7 J D 3319.000.8245 38.34 12 J K 3319.00
0.3282 37.67 11 C K 3343.90
ITERACION 6hf/Q q1 q2 q3 q4 Q1 Anillo Tramo Qo K
8.892 -0.0004800 0.026062 1 0.02606 195.8011.894 -0.0004800 0.018062 2 0.01806 355.5145.628 -0.0004800 0.00026246 0.002764 I 3 0.00276 6472.3912.426 -0.0004800 0.0007739 -0.01015 4 -0.01015 605.6711.567 -0.0004800 0.0007739 -0.00315 5 -0.00315 1450.6764.177 -0.0004800 0.0001364 -0.00479 6 -0.00479 6472.39
154.584 -0.0004800
hf/Q q1 q2 q3 q4 Q1 Anillo Tramo Qo K103.563 -2.625E-04 0.00013638 0.008444 II 7 0.00844 5974.52
123.427 -2.625E-04 0.002299 11 0.00230 19925.4145.628 0.0004800 -2.625E-04 -0.002764 3 -0.00276 6472.39
189.881 -2.625E-04 -0.00470 12 -0.00470 19187.43462.499 -2.625E-04
hf/Q q1 q2 q3 q4 Q1 Anillo Tramo Qo K64.177 0.0004800 -0.000136 0.004793 6 0.00479 6472.3948.569 -0.000136 0.0007739 0.014642 9 0.01464 1843.96
19.538 -0.000136 0.0007739 0.022642 III 10 0.02264 504.73103.563 0.00026246 -0.000136 -0.008444 7 -0.00844 5974.52
23.284 -0.000136 -0.01915 8 -0.01915 681.38259.130 -0.000136
hf/Q q1 q2 q3 q4 Q1 Anillo Tramo Qo K2.643 -0.0007739 0.048213 0 0.04821 34.52
12.426 0.0004800 -0.0007739 0.010151 4 0.01015 605.67
11.567 0.0004800 -0.0007739 0.003151 IV 5 0.00315 1450.6748.569 0.00013638 -0.0007739 -0.014642 9 -0.01464 1843.9619.538 0.0001364 -0.0007739 -0.02264 10 -0.02264 504.7310.548 -0.0007739 -0.051787 13 -0.05179 133.12
-0.0007739 ▼T2 - ▼T1 =
105.291
Cotashf Presión
NodosAdelante Tramo Atrás Adelante3334.10 0.1295 35.27 0 T1 A3339.30 0.2360 29.83 1 A B3343.90 0.2205 25.01 2 B C3349.00 0.1360 19.78 3 C D3335.40 0.1298 33.84 4 A E3336.30 0.0398 32.90 5 E F
3349.00 0.2855 19.92 6 F D3324.10 0.5381 46.36 13 T2 H3329.20 0.4299 40.83 10 H G3336.30 0.6802 33.05 9 G F3319.00 0.4426 51.02 8 H J3349.00 0.8875 20.13 7 J D3330.90 0.8428 38.28 12 J K
3330.90 0.3161 37.70 11 C K
ITERACION 7hf hf/Q q1 q2 q3 q4 Q1 Anillo Tramo Qo
0.2282 8.755 -0.0002514 0.025811 1 0.025810.2101 11.631 -0.0002514 0.017811 2 0.017810.1182 42.775 -0.0002514 7.8702E-05 0.002591 I 3 0.00259
-0.1231 12.128 -0.0002514 0.0001893 -0.01021 4 -0.01021-0.0338 10.721 -0.0002514 0.0001893 -0.00321 5 -0.00321-0.3277 68.377 -0.0002514 0.0004237 -0.00462 6 -0.00462
0.0719 154.387 -0.0002514
hf hf/Q q1 q2 q3 q4 Q1 Anillo Tramo Qo0.8635 102.263 -7.870E-05 0.00042369 0.008789 II 7 0.00879
0.2588 112.566 -7.870E-05 0.002220 11 0.00222-0.1182 42.775 0.0002514 -7.870E-05 -0.002591 3 -0.00259-0.9374 199.406 -7.870E-05 -0.00478 12 -0.004780.0666 457.010 -7.870E-05
hf hf/Q q1 q2 q3 q4 Q1 Anillo Tramo Qo0.3277 68.377 0.0002514 -0.000424 0.004620 6 0.004620.7386 50.447 -0.000424 0.0001893 0.014407 9 0.01441
0.4533 20.019 -0.000424 0.0001893 0.022407 III 10 0.02241-0.8635 102.263 7.8702E-05 -0.000424 -0.008789 7 -0.00879-0.4485 23.426 -0.000424 -0.01957 8 -0.019570.2076 264.532 -0.000424
hf hf/Q q1 q2 q3 q4 Q1 Anillo Tramo Qo0.12569 2.607 -0.0001893 0.048024 0 0.048020.12311 12.128 0.0002514 -0.0001893 0.010213 4 0.01021
0.03378 10.721 0.0002514 -0.0001893 0.003213 IV 5 0.00321-0.7386 50.447 0.00042369 -0.0001893 -0.014407 9 -0.01441-0.4533 20.019 0.0004237 -0.0001893 -0.02241 10 -0.02241
-0.55332 10.685 -0.0001893 -0.051976 13 -0.05198
1.500 -0.00018930.03738 106.606
Cotashf Presión
NodosAtrás Adelante Tramo Atrás
3369.50 3334.10 0.1257 35.27 0 T13334.10 3339.30 0.2282 29.85 1 A3339.30 3343.90 0.2101 25.04 2 B3343.90 3349.00 0.1182 19.82 3 C3334.10 3335.40 0.1231 33.85 4 A3335.40 3336.30 0.0338 32.92 5 E
3336.30 3349.00 0.3277 19.89 6 F3371.00 3324.10 0.5533 46.35 13 T23324.10 3329.20 0.4533 40.79 10 H3329.20 3336.30 0.7386 32.95 9 G3324.10 3319.00 0.4485 51.00 8 H3319.00 3349.00 0.8635 20.13 7 J3319.00 3330.90 0.9374 38.16 12 J
3343.90 3330.90 0.2588 37.78 11 C
ITERACION K hf hf/Q q1 q2 q3 q4 Q1 Anillo Tramo
195.796 0.2241 8.683 -0.0002446 0.025566 1355.512 0.2047 11.493 -0.0002446 0.017566 2
6472.395 0.1049 40.487 -0.0002446 0.00011907 0.002465 I 3605.673 -0.1245 12.191 -0.0002446 0.0003349 -0.01012 4
1450.672 -0.0350 10.901 -0.0002446 0.0003349 -0.00312 56472.395 -0.3062 66.277 -0.0002446 0.0001437 -0.00472 6
0.0680 150.031 -0.0002446
K hf hf/Q q1 q2 q3 q4 Q1 Anillo Tramo5974.518 0.9300 105.812 -1.191E-04 0.00014367 0.008814 II 7
19925.406 0.2426 109.274 -1.191E-04 0.002101 11
6472.395 -0.1049 40.487 0.0002446 -1.191E-04 -0.002465 319187.428 -0.9667 202.247 -1.191E-04 -0.00490 12
0.1010 457.820 -1.191E-04
K hf hf/Q q1 q2 q3 q4 Q1 Anillo Tramo6472.395 0.3062 66.277 0.0002446 -0.000144 0.004721 61843.960 0.7169 49.758 -0.000144 0.0003349 0.014598 9
504.728 0.4446 19.842 -0.000144 0.0003349 0.022598 III 10
5974.518 -0.9300 105.812 0.00011907 -0.000144 -0.008814 7681.383 -0.4671 23.867 -0.000144 -0.01971 8
0.0707 265.556 -0.000144
K hf hf/Q q1 q2 q3 q4 Q1 Anillo Tramo34.520 0.1248 2.598 -0.0003349 0.047689 0
605.673 0.1245 12.191 0.0002446 -0.0003349 0.010123 4
1450.672 0.0350 10.901 0.0002446 -0.0003349 0.003123 IV 51843.960 -0.7169 49.758 0.00014367 -0.0003349 -0.014598 9
504.728 -0.4446 19.842 0.0001437 -0.0003349 -0.02260 10133.121 -0.5571 10.718 -0.0003349 -0.052311 13
▼T2 - ▼T1 = 1.500 -0.00033490.06575 106.008
Nodos Cotashf Presión
Adelante Atrás Adelante TramoA 3369.50 3334.10 0.1248 35.28 0B 3334.10 3339.30 0.2241 29.85 1C 3339.30 3343.90 0.2047 25.05 2D 3343.90 3349.00 0.1049 19.84 3E 3334.10 3335.40 0.1245 33.85 4F 3335.40 3336.30 0.0350 32.92 5
D 3336.30 3349.00 0.3062 19.91 6H 3371.00 3324.10 0.5571 46.34 13G 3324.10 3329.20 0.4446 40.80 10F 3329.20 3336.30 0.7169 32.98 9J 3324.10 3319.00 0.4671 50.98 8D 3319.00 3349.00 0.9300 20.05 7K 3319.00 3330.90 0.9667 38.11 12
K 3343.90 3330.90 0.2426 37.80 11
8 ITERACION Qo K hf hf/Q q1 q2 q3 q4 Q1 Anillo
0.02557 195.80 0.2202 8.613 -0.0001485 0.0254180.01757 355.51 0.1995 11.359 -0.0001485 0.0174180.00247 6472.39 0.0957 38.810 -0.0001485 5.4967E-05 0.002372 I
-0.01012 605.67 -0.1225 12.099 -0.0001485 0.0001465 -0.01012-0.00312 1450.67 -0.0332 10.639 -0.0001485 0.0001465 -0.00312-0.00472 6472.39 -0.3187 67.508 -0.0001485 0.0001950 -0.00467
0.0410 149.027 -0.0001485
Qo K hf hf/Q q1 q2 q3 q4 Q1 Anillo0.00881 5974.52 0.9348 106.065 -5.497E-05 0.00019499 0.008954 II
0.00210 19925.41 0.2191 104.260 -5.497E-05 0.002046-0.00247 6472.39 -0.0957 38.810 0.0001485 -5.497E-05 -0.002372-0.00490 19187.43 -1.0118 206.532 -5.497E-05 -0.00495
0.0464 455.666 -5.497E-05
Qo K hf hf/Q q1 q2 q3 q4 Q1 Anillo0.00472 6472.39 0.3187 67.508 0.0001485 -0.000195 0.0046750.01460 1843.96 0.7346 50.320 -0.000195 0.0001465 0.014550
0.02260 504.73 0.4517 19.986 -0.000195 0.0001465 0.022550 III-0.00881 5974.52 -0.9348 106.065 5.4967E-05 -0.000195 -0.008954-0.01971 681.38 -0.4734 24.017 -0.000195 -0.01991
0.0967 267.896 -0.000195
Qo K hf hf/Q q1 q2 q3 q4 Q1 Anillo0.04769 34.52 0.1232 2.583 -0.0001465 0.0475430.01012 605.67 0.1225 12.099 0.0001485 -0.0001465 0.010125
0.00312 1450.67 0.0332 10.639 0.0001485 -0.0001465 0.003125 IV
-0.01460 1843.96 -0.7346 50.320 0.00019499 -0.0001465 -0.014550-0.02260 504.73 -0.4517 19.986 0.0001950 -0.0001465 -0.02255-0.05231 133.12 -0.5637 10.777 -0.0001465 -0.052457
▼T2 - ▼T1 = 1.500 -0.00014650.02887 106.404
Nodos Cotashf Presión
Atrás Adelante Atrás AdelanteT1 A 3369.50 3334.10 0.1232 35.28A B 3334.10 3339.30 0.2202 29.86B C 3339.30 3343.90 0.1995 25.06C D 3343.90 3349.00 0.0957 19.86A E 3334.10 3335.40 0.1225 33.85E F 3335.40 3336.30 0.0332 32.92
F D 3336.30 3349.00 0.3187 19.90T2 H 3371.00 3324.10 0.5637 46.34H G 3324.10 3329.20 0.4517 40.78G F 3329.20 3336.30 0.7346 32.95H J 3324.10 3319.00 0.4734 50.96J D 3319.00 3349.00 0.9348 20.03J K 3319.00 3330.90 1.0118 38.05
C K 3343.90 3330.90 0.2191 37.84
ITERACION 9Tramo Qo K hf hf/Q q1 q2 q3 q4 Q1
1 0.02542 195.796 0.2178 8.570 -0.0001270 0.0252912 0.01742 355.512 0.1964 11.277 -0.0001270 0.0172913 0.00237 6472.395 0.0891 37.552 -0.0001270 5.817E-05 0.0023034 -0.01012 605.673 -0.1225 12.101 -0.0001270 0.0001607 -0.010095 -0.00312 1450.672 -0.0333 10.645 -0.0001270 0.0001607 -0.003096 -0.00467 6472.395 -0.3129 66.941 -0.0001270 0.0000969 -0.00470
0.0346 147.085 -0.0001270
Tramo Qo K hf hf/Q q1 q2 q3 q4 Q17 0.00895 5974.518 0.9625 107.499 -5.817E-05 9.6925E-05 0.008992
11 0.00205 19925.406 0.2086 101.932 -5.817E-05 0.0019883 -0.00237 6472.395 -0.0891 37.552 0.0001270 -5.817E-05 -0.00230312 -0.00495 19187.428 -1.0329 208.504 -5.817E-05 -0.00501
0.0491 455.486 -5.817E-05
Tramo Qo K hf hf/Q q1 q2 q3 q4 Q16 0.00467 6472.395 0.3129 66.941 0.0001270 -0.000097 0.0047059 0.01455 1843.960 0.7301 50.178 -0.000097 0.0001607 0.014614
10 0.02255 504.728 0.4499 19.950 -0.000097 0.0001607 0.0226147 -0.00895 5974.518 -0.9625 107.499 5.817E-05 -0.000097 -0.0089928 -0.01991 681.383 -0.4821 24.219 -0.000097 -0.02000
0.0482 268.786 -0.000097
Tramo Qo K hf hf/Q q1 q2 q3 q4 Q10 0.04754 34.520 0.1225 2.576 -0.0001607 0.0473824 0.01012 605.673 0.1225 12.101 0.0001270 -0.0001607 0.010091
5 0.00312 1450.672 0.0333 10.645 0.0001270 -0.0001607 0.0030919 -0.01455 1843.960 -0.7301 50.178 9.6925E-05 -0.0001607 -0.01461410 -0.02255 504.728 -0.4499 19.950 0.0000969 -0.0001607 -0.0226113 -0.05246 133.121 -0.5667 10.802 -0.0001607 -0.052618
▼T2 - ▼T1 = 1.500 -0.00016070.03163 106.252
Nodos Cotashf Presión
Tramo Atrás Adelante Atrás Adelante0 T1 A 3369.50 3334.10 0.1225 35.281 A B 3334.10 3339.30 0.2178 29.862 B C 3339.30 3343.90 0.1964 25.063 C D 3343.90 3349.00 0.0891 19.874 A E 3334.10 3335.40 0.1225 33.865 E F 3335.40 3336.30 0.0333 32.92
6 F D 3336.30 3349.00 0.3129 19.9113 T2 H 3371.00 3324.10 0.5667 46.3310 H G 3324.10 3329.20 0.4499 40.789 G F 3329.20 3336.30 0.7301 32.958 H J 3324.10 3319.00 0.4821 50.957 J D 3319.00 3349.00 0.9625 19.99
12 J K 3319.00 3330.90 1.0329 38.02
11 C K 3343.90 3330.90 0.2086 37.85
ITERACION 10Anillo Tramo Qo K hf hf/Q q1 q2 q3 q4 Q1
1 0.02529 195.796 0.2158 8.534 -0.0000845 0.0252062 0.01729 355.512 0.1938 11.207 -0.0000845 0.017206
I 3 0.00230 6472.395 0.0843 36.621 -0.0000845 3.3386E-05 0.0022524 -0.01009 605.673 -0.1218 12.067 -0.0000845 0.0000910 -0.010085 -0.00309 1450.672 -0.0326 10.547 -0.0000845 0.0000910 -0.003086 -0.00470 6472.395 -0.3167 67.308 -0.0000845 0.0000964 -0.00469
0.0229 146.283 -0.0000845
Anillo Tramo Qo K hf hf/Q q1 q2 q3 q4 Q1II 7 0.00899 5974.518 0.9702 107.895 -3.339E-05 9.6446E-05 0.009055
11 0.00199 19925.406 0.1977 99.457 -3.339E-05 0.0019553 -0.00230 6472.395 -0.0843 36.621 0.0000845 -3.339E-05 -0.00225212 -0.00501 19187.428 -1.0555 210.588 -3.339E-05 -0.00505
0.0281 454.561 -3.339E-05
Anillo Tramo Qo K hf hf/Q q1 q2 q3 q4 Q16 0.00470 6472.395 0.3167 67.308 0.0000845 -0.000096 0.0046939 0.01461 1843.960 0.7360 50.365 -0.000096 0.0000910 0.014608
III 10 0.02261 504.728 0.4522 19.998 -0.000096 0.0000910 0.0226087 -0.00899 5974.518 -0.9702 107.895 3.3386E-05 -0.000096 -0.0090558 -0.02000 681.383 -0.4865 24.319 -0.000096 -0.02010
0.0482 269.885 -0.000096
Anillo Tramo Qo K hf hf/Q q1 q2 q3 q4 Q10 0.04738 34.520 0.1217 2.569 -0.0000910 0.0472914 0.01009 605.673 0.1218 12.067 0.0000845 -0.0000910 0.010084
IV 5 0.00309 1450.672 0.0326 10.547 0.0000845 -0.0000910 0.0030849 -0.01461 1843.960 -0.7360 50.365 9.6446E-05 -0.0000910 -0.01460810 -0.02261 504.728 -0.4522 19.998 0.0000964 -0.0000910 -0.0226113 -0.05262 133.121 -0.5699 10.831 -0.0000910 -0.052709
▼T2 - ▼T1 = 1.500 -0.00009100.01793 106.376
Nodos Cotashf Presión
Tramo Atrás Adelante Atrás Adelante0 T1 A 3369.50 3334.10 0.1217 35.281 A B 3334.10 3339.30 0.2158 29.862 B C 3339.30 3343.90 0.1938 25.073 C D 3343.90 3349.00 0.0843 19.884 A E 3334.10 3335.40 0.1218 33.865 E F 3335.40 3336.30 0.0326 32.92
6 F D 3336.30 3349.00 0.3167 19.9113 T2 H 3371.00 3324.10 0.5699 46.3310 H G 3324.10 3329.20 0.4522 40.789 G F 3329.20 3336.30 0.7360 32.948 H J 3324.10 3319.00 0.4865 50.947 J D 3319.00 3349.00 0.9702 19.97
12 J K 3319.00 3330.90 1.0555 37.99
11 C K 3343.90 3330.90 0.1977 37.87
ITERACION 11Anillo Tramo Qo K hf hf/Q q1 q2 q3 q4
1 0.02521 195.796 0.2145 8.509 -0.00006742 0.01721 355.512 0.1920 11.160 -0.0000674
I 3 0.00225 6472.395 0.0809 35.927 -0.0000674 2.9732E-054 -0.01008 605.673 -0.1216 12.060 -0.0000674 0.00008185 -0.00308 1450.672 -0.0325 10.528 -0.0000674 0.00008186 -0.00469 6472.395 -0.3152 67.162 -0.0000674 0.0000579
0.0181 145.347 -0.0000674
Anillo Tramo Qo K hf hf/Q q1 q2 q3 q4II 7 0.00906 5974.518 0.9829 108.539 -2.973E-05 5.7929E-05
11 0.00195 19925.406 0.1916 98.032 -2.973E-053 -0.00225 6472.395 -0.0809 35.927 0.0000674 -2.973E-0512 -0.00505 19187.428 -1.0686 211.783 -2.973E-05
0.0250 454.282 -2.973E-05
Anillo Tramo Qo K hf hf/Q q1 q2 q3 q46 0.00469 6472.395 0.3152 67.162 0.0000674 -0.0000589 0.01461 1843.960 0.7355 50.349 -0.000058 0.0000818
III 10 0.02261 504.728 0.4520 19.994 -0.000058 0.00008187 -0.00906 5974.518 -0.9829 108.539 2.9732E-05 -0.0000588 -0.02010 681.383 -0.4908 24.419 -0.000058
0.0290 270.464 -0.000058
Anillo Tramo Qo K hf hf/Q q1 q2 q3 q40 0.04729 34.520 0.1213 2.564 -0.00008184 0.01008 605.673 0.1216 12.060 0.0000674 -0.0000818
IV 5 0.00308 1450.672 0.0325 10.528 0.0000674 -0.00008189 -0.01461 1843.960 -0.7355 50.349 5.7929E-05 -0.000081810 -0.02261 504.728 -0.4520 19.994 0.0000579 -0.000081813 -0.05271 133.121 -0.5717 10.847 -0.0000818
▼T2 - ▼T1 = 1.500 -0.00008180.01611 106.342
Nodos Cotashf Presión
Tramo Atrás Adelante Atrás Adelante0 T1 A 3369.50 3334.10 0.1213 35.281 A B 3334.10 3339.30 0.2145 29.862 B C 3339.30 3343.90 0.1920 25.073 C D 3343.90 3349.00 0.0809 19.894 A E 3334.10 3335.40 0.1216 33.865 E F 3335.40 3336.30 0.0325 32.92
6 F D 3336.30 3349.00 0.3152 19.9113 T2 H 3371.00 3324.10 0.5717 46.3310 H G 3324.10 3329.20 0.4520 40.789 G F 3329.20 3336.30 0.7355 32.948 H J 3324.10 3319.00 0.4908 50.947 J D 3319.00 3349.00 0.9829 19.95
12 J K 3319.00 3330.90 1.0686 37.97
11 C K 3343.90 3330.90 0.1916 37.88
ITERACION 12Q1 Anillo Tramo Qo K hf hf/Q q1 q2 q3
0.025139 1 0.02514 195.796 0.2134 8.490 -0.00004710.017139 2 0.01714 355.512 0.1906 11.123 -0.00004710.002214 I 3 0.00221 6472.395 0.0784 35.415 -0.0000471 1.9181E-05-0.01007 4 -0.01007 605.673 -0.1213 12.045 -0.0000471-0.00307 5 -0.00307 1450.672 -0.0322 10.486 -0.0000471-0.00470 6 -0.00470 6472.395 -0.3164 67.278 -0.0000471 0.0000498
0.0126 144.837 -0.0000471
Q1 Anillo Tramo Qo K hf hf/Q q1 q2 q30.009084 II 7 0.00908 5974.518 0.9885 108.827 -1.918E-05 4.9813E-05
0.001925 11 0.00192 19925.406 0.1862 96.760 -1.918E-05-0.002214 3 -0.00221 6472.395 -0.0784 35.415 0.0000471 -1.918E-05
-0.00508 12 -0.00508 19187.428 -1.0802 212.846 -1.918E-050.0161 453.848 -1.918E-05
Q1 Anillo Tramo Qo K hf hf/Q q1 q2 q30.004702 6 0.00470 6472.395 0.3164 67.278 0.0000471 -0.0000500.014632 9 0.01463 1843.960 0.7377 50.419 -0.000050
0.022632 III 10 0.02263 504.728 0.4529 20.012 -0.000050-0.009084 7 -0.00908 5974.518 -0.9885 108.827 1.9181E-05 -0.000050
-0.02016 8 -0.02016 681.383 -0.4935 24.479 -0.0000500.0250 271.015 -0.000050
Q1 Anillo Tramo Qo K hf hf/Q q1 q2 q30.047209 0 0.04721 34.520 0.1209 2.5610.010070 4 0.01007 605.673 0.1213 12.045 0.0000471
0.003070 IV 5 0.00307 1450.672 0.0322 10.486 0.0000471-0.014632 9 -0.01463 1843.960 -0.7377 50.419 4.9813E-05
-0.02263 10 -0.02263 504.728 -0.4529 20.012 0.0000498-0.052791 13 -0.05279 133.121 -0.5734 10.861
▼T2 - ▼T1 = 1.5000.01036 106.384
Nodos Cotashf Presión
Tramo Atrás Adelante Atrás Adelante0 T1 A 3369.50 3334.10 0.1209 35.281 A B 3334.10 3339.30 0.2134 29.872 B C 3339.30 3343.90 0.1906 25.083 C D 3343.90 3349.00 0.0784 19.904 A E 3334.10 3335.40 0.1213 33.865 E F 3335.40 3336.30 0.0322 32.93
6 F D 3336.30 3349.00 0.3164 19.9113 T2 H 3371.00 3324.10 0.5734 46.3310 H G 3324.10 3329.20 0.4529 40.779 G F 3329.20 3336.30 0.7377 32.948 H J 3324.10 3319.00 0.4935 50.937 J D 3319.00 3349.00 0.9885 19.94
12 J K 3319.00 3330.90 1.0802 37.95
11 C K 3343.90 3330.90 0.1862 37.89
ITERACION 13q4 Q1 Anillo Tramo Qo K hf hf/Q q1 q2
0.025092 1 0.02509 195.796 0.2127 8.476 -0.00003620.017092 2 0.01709 355.512 0.1897 11.097 -0.00003620.002186 I 3 0.00219 6472.395 0.0766 35.035 -0.0000362 1.5626E-05
0.0000526 -0.01006 4 -0.01006 605.673 -0.1212 12.040 -0.00003620.0000526 -0.00306 5 -0.00306 1450.672 -0.0321 10.470 -0.0000362
-0.00470 6 -0.00470 6472.395 -0.3160 67.244 -0.0000362
0.0097 144.361 -0.0000362
q4 Q1 Anillo Tramo Qo K hf hf/Q q1 q20.009114 II 7 0.00911 5974.518 0.9947 109.140 -1.563E-05
0.001906 11 0.00191 19925.406 0.1828 95.938 -1.563E-05-0.002186 3 -0.00219 6472.395 -0.0766 35.035 0.0000362 -1.563E-05
-0.00509 12 -0.00509 19187.428 -1.0878 213.531 -1.563E-050.0131 453.644 -1.563E-05
q4 Q1 Anillo Tramo Qo K hf hf/Q q1 q20.004700 6 0.00470 6472.395 0.3160 67.244 0.0000362
0.0000526 0.014635 9 0.01463 1843.960 0.7380 50.427
0.0000526 0.022635 III 10 0.02263 504.728 0.4530 20.014-0.009114 7 -0.00911 5974.518 -0.9947 109.140 1.5626E-05
-0.02021 8 -0.02021 681.383 -0.4957 24.5310.0166 271.355
q4 Q1 Anillo Tramo Qo K hf hf/Q q1 q2-0.0000526 0.047156 0 0.04716 34.520 0.1206 2.558-0.0000526 0.010065 4 0.01006 605.673 0.1212 12.040 0.0000362
-0.0000526 0.003065 IV 5 0.00306 1450.672 0.0321 10.470 0.0000362-0.0000526 -0.014635 9 -0.01463 1843.960 -0.7380 50.427-0.0000526 -0.02263 10 -0.02263 504.728 -0.4530 20.014-0.0000526 -0.052844 13 -0.05284 133.121 -0.5744 10.870
-0.0000526 ▼T2 - ▼T1 = 1.5000.00846 106.379
Nodos Cotashf Presión
Tramo Atrás Adelante Atrás Adelante0 T1 A 3369.50 3334.10 0.1206 35.281 A B 3334.10 3339.30 0.2127 29.872 B C 3339.30 3343.90 0.1897 25.083 C D 3343.90 3349.00 0.0766 19.904 A E 3334.10 3335.40 0.1212 33.865 E F 3335.40 3336.30 0.0321 32.93
6 F D 3336.30 3349.00 0.3160 19.9113 T2 H 3371.00 3324.10 0.5744 46.3310 H G 3324.10 3329.20 0.4530 40.779 G F 3329.20 3336.30 0.7380 32.938 H J 3324.10 3319.00 0.4957 50.937 J D 3319.00 3349.00 0.9947 19.94
12 J K 3319.00 3330.90 1.0878 37.94
11 C K 3343.90 3330.90 0.1828 37.89
ITERACION 14q3 q4 Q1 Anillo Tramo Qo K hf hf/Q q1
0.025056 1 0.02506 195.796 0.2121 8.466 -0.00002590.017056 2 0.01706 355.512 0.1889 11.077 -0.00002590.002166 I 3 0.00217 6472.395 0.0753 34.754 -0.0000259
0.0000429 -0.01006 4 -0.01006 605.673 -0.1210 12.033 -0.00002590.0000429 -0.00306 5 -0.00306 1450.672 -0.0320 10.450 -0.0000259
0.0000330 -0.00470 6 -0.00470 6472.395 -0.3164 67.283 -0.0000259
0.0069 144.062 -0.0000259
q3 q4 Q1 Anillo Tramo Qo K hf hf/Q q13.2991E-05 0.009132 II 7 0.00913 5974.518 0.9982 109.317
0.001890 11 0.00189 19925.406 0.1801 95.268-0.002166 3 -0.00217 6472.395 -0.0753 34.754 0.0000259
-0.00511 12 -0.00511 19187.428 -1.0940 214.0890.0090 453.427
q3 q4 Q1 Anillo Tramo Qo K hf hf/Q q1-0.000033 0.004703 6 0.00470 6472.395 0.3164 67.283 0.0000259-0.000033 0.0000429 0.014645 9 0.01464 1843.960 0.7389 50.457
-0.000033 0.0000429 0.022645 III 10 0.02264 504.728 0.4534 20.021-0.000033 -0.009132 7 -0.00913 5974.518 -0.9982 109.317-0.000033 -0.02024 8 -0.02024 681.383 -0.4972 24.565-0.000033 0.0133 271.642
q3 q4 Q1 Anillo Tramo Qo K hf hf/Q q1-0.0000429 0.047113 0 0.04711 34.520 0.1204 2.556-0.0000429 0.010058 4 0.01006 605.673 0.1210 12.033 0.0000259
-0.0000429 0.003058 IV 5 0.00306 1450.672 0.0320 10.450 0.00002593.2991E-05 -0.0000429 -0.014645 9 -0.01464 1843.960 -0.7389 50.4570.0000330 -0.0000429 -0.02264 10 -0.02264 504.728 -0.4534 20.021
-0.0000429 -0.052887 13 -0.05289 133.121 -0.5753 10.878
-0.0000429 ▼T2 - ▼T1 = 1.5000.00581 106.395
Nodos Cotashf
Tramo Atrás Adelante Atrás Adelante0 T1 A 3369.50 3334.10 0.12041 A B 3334.10 3339.30 0.21212 B C 3339.30 3343.90 0.18893 C D 3343.90 3349.00 0.07534 A E 3334.10 3335.40 0.12105 E F 3335.40 3336.30 0.0320
6 F D 3336.30 3349.00 0.316413 T2 H 3371.00 3324.10 0.575310 H G 3324.10 3329.20 0.45349 G F 3329.20 3336.30 0.73898 H J 3324.10 3319.00 0.49727 J D 3319.00 3349.00 0.9982
12 J K 3319.00 3330.90 1.0940
11 C K 3343.90 3330.90 0.1801
ITERACION 15q2 q3 q4 Q1 Anillo Tramo Qo K hf hf/Q
0.025030 1 0.02503 195.796 0.2117 8.4580.017030 2 0.01703 355.512 0.1884 11.062
1.0735E-05 0.002151 I 3 0.00215 6472.395 0.0743 34.5460.0000295 -0.01005 4 -0.01005 605.673 -0.1209 12.0290.0000295 -0.00305 5 -0.00305 1450.672 -0.0319 10.440
0.0000264 -0.00470 6 -0.00470 6472.395 -0.3164 67.278
0.0052 143.814
q2 q3 q4 Q1 Anillo Tramo Qo K hf hf/Q-1.073E-05 2.6362E-05 0.009147 II 7 0.00915 5974.518 1.0014 109.476
-1.073E-05 0.001879 11 0.00188 19925.406 0.1782 94.806-1.073E-05 -0.002151 3 -0.00215 6472.395 -0.0743 34.546-1.073E-05 -0.00512 12 -0.00512 19187.428 -1.0983 214.472-1.073E-05 0.0070 453.301
q2 q3 q4 Q1 Anillo Tramo Qo K hf hf/Q-0.000026 0.004702 6 0.00470 6472.395 0.3164 67.278-0.000026 0.0000295 0.014648 9 0.01465 1843.960 0.7392 50.466
-0.000026 0.0000295 0.022648 III 10 0.02265 504.728 0.4535 20.0241.0735E-05 -0.000026 -0.009147 7 -0.00915 5974.518 -1.0014 109.476
-0.000026 -0.02027 8 -0.02027 681.383 -0.4984 24.592-0.000026 0.0093 271.835
q2 q3 q4 Q1 Anillo Tramo Qo K hf hf/Q-0.0000295 0.047084 0 0.04708 34.520 0.1203 2.555-0.0000295 0.010054 4 0.01005 605.673 0.1209 12.029
-0.0000295 0.003054 IV 5 0.00305 1450.672 0.0319 10.4402.6362E-05 -0.0000295 -0.014648 9 -0.01465 1843.960 -0.7392 50.4660.0000264 -0.0000295 -0.02265 10 -0.02265 504.728 -0.4535 20.024
-0.0000295 -0.052916 13 -0.05292 133.121 -0.5759 10.883
-0.0000295 ▼T2 - ▼T1 = 1.5000.00452 106.396
PresiónNodos Cotas
Tramo Atrás Adelante Atrás Adelante35.28 0 T1 A 3369.50 3334.1029.87 1 A B 3334.10 3339.3025.08 2 B C 3339.30 3343.9019.90 3 C D 3343.90 3349.0033.86 4 A E 3334.10 3335.4032.93 5 E F 3335.40 3336.30
19.91 6 F D 3336.30 3349.0046.32 13 T2 H 3371.00 3324.1040.77 10 H G 3324.10 3329.2032.93 9 G F 3329.20 3336.3050.93 8 H J 3324.10 3319.0019.93 7 J D 3319.00 3349.0037.93 12 J K 3319.00 3330.90
37.90 11 C K 3343.90 3330.90
q1 q2 q3 q4 Q1-0.0000196 0.025010-0.0000196 0.017010-0.0000196 8.3458E-06 0.002139-0.0000196 0.0000229 -0.01005-0.0000196 0.0000229 -0.00305-0.0000196 0.0000184 -0.00470
-0.0000196
q1 q2 q3 q4 Q1-8.346E-06 1.8376E-05 0.009157
-8.346E-06 0.0018710.0000196 -8.346E-06 -0.002139
-8.346E-06 -0.00513-8.346E-06
q1 q2 q3 q4 Q10.0000196 -0.000018 0.004703
-0.000018 0.0000229 0.014653
-0.000018 0.0000229 0.0226538.3458E-06 -0.000018 -0.009157
-0.000018 -0.02029-0.000018
q1 q2 q3 q4 Q1-0.0000229 0.047061
0.0000196 -0.0000229 0.010051
0.0000196 -0.0000229 0.0030511.8376E-05 -0.0000229 -0.0146530.0000184 -0.0000229 -0.02265
-0.0000229 -0.052939
-0.0000229
hf Presión
0.1203 35.280.2117 29.870.1884 25.080.0743 19.910.1209 33.860.0319 32.93
0.3164 19.910.5759 46.320.4535 40.770.7392 32.930.4984 50.931.0014 19.921.0983 37.93
0.1782 37.90
SOLUCION CON EL METODO DEL GRADIENTE HIDRAULICO
Nodo Elev ▼ 3369.5 msnm T1T1 3369.5A 3334.1 0
B 3339.3 qA Q = 60.0
C 3343.9 12.00 L = 400.0 ITERACION NºD 3349.0E 3335.4 4 A 1F 3336.3 Q = 19.33 Q = 28.67 Asignar cotasG 3329.2 L = 240 L = 230H 3324.1 qEJ 3319.0 7 E B qBK 3330.9 8.00T2 3371.0
5 2Q = 12.33
IQ = 20.67
L = 300 L = 250
qF
13.00 F qD C qC
16.00 13.00
9 Q = 4.77 6 3
L = 180 Q = 4.100 Q = 4.100
qG G L = 260 L = 260
8.00 D 11
IIQ = 3.57
10 III 7 L = 270
Q = 12.77 Q = 7.80
L = 200 L = 240
H K
qH 8 12 qK
ij
Ji
K
HH
n
ij
Ji
K
HH1
10.0 Q = 17.23 J Q = 3.434 7.00
L = 270 qJ L = 260
6.00
13
Q = 40.00
L = 380
T(2) ▼ 3371.0 msnm
Ecuaciones de Compatibilidad
, n
K
KHJHn
K
KHCH 10F
, n
K
KHJHn
K
DHJHn
K
JHHH 9F
, n
K
HHn
K
GHHHn
K
JHHH F
, n
1
K
FHGHn
K
GHHH F
. n
1
K
FHGH
n
1
K
DHFH
n
K
FHEH F
, n
K
FHEHn
K
EHAH F
, n
K
DHJHn
K
DHFH
n
K
DHCH F
, n
K
KHCH -
n
K
DHCH -
n
1
K
CHBH F
, n
K
CHBHn
K
BHAH F
, n
K
EHAH_
n
K
BHAHn
K
AH,F
001260
1
12
1
11
001080
1
12
1
7
1
8
001800
1
13
980
1
10
1
88
001440
9
1
107
002340
96
1
56
001260
1
5
1
45
002880
1
7
1
6
1
34
002340
1
11
1
323
001440
1
2
1
12
002160
1
4
1
1
1
0
49781
11
1
n
ij
Ji
K
HH
nK
ITERACION Nº
Cotas corregidas
, n
K
KHJHn
K
KHCH 10F
, n
K
KHJHn
K
DHJHn
K
JHHH 9F
, n
K
HHn
K
GHHHn
K
JHHH F
, n
1
K
FHGHn
K
GHHH F
. n
1
K
FHGH
n
1
K
DHFH
n
K
FHEH F
, n
K
FHEHn
K
EHAH F
, n
K
DHJHn
K
DHFH
n
K
DHCH F
, n
K
KHCH -
n
K
DHCH -
n
1
K
CHBH F
, n
K
CHBHn
K
BHAH F
, n
K
EHAH_
n
K
BHAHn
K
AH,F
001260
1
12
1
11
001080
1
12
1
7
1
8
001800
1
13
980
1
10
1
88
001440
9
1
107
002340
96
1
56
001260
1
5
1
45
002880
1
7
1
6
1
34
002340
1
11
1
323
001440
1
2
1
12
002160
1
4
1
1
1
0
49781
ij
Ji
K
HH
n
ij
Ji
K
HH1
11
1
n
ij
Ji
K
HH
nK
ITERACION Nº
Cotas corregidas
ij
Ji
K
HH
n
ij
Ji
K
HH1
11
1
n
ij
Ji
K
HH
nK
ITERACION Nº
Cotas corregidas
ij
Ji
K
HH
n
ij
Ji
K
HH1
11
1
n
ij
Ji
K
HH
nK
Tramo 0 1 2 3 4 5 6 7 8 9 10 11 12 13Qo = 0.0600 0.0287 0.0207 0.0041 0.0193 0.0123 0.0041 0.0078 0.0172 0.0048 0.0128 0.0036 0.0034 0.0400
D = 0.276 0.191 0.162 0.072 0.157 0.125 0.072 0.100 0.148 0.078 0.127 0.067 0.066 0.226Dcom 0.400 0.250 0.225 0.125 0.200 0.175 0.125 0.125 0.200 0.150 0.200 0.100 0.100 0.300
L = 400 230 250 260 240 300 260 240 270 180 200 270 260 380C = 150 150 150 150 150 150 150 150 150 150 150 150 150 150
ITERACION Nº 1
Nodos T1 A B C D E F G H J K T2
Asignar cotas Hº 978.4 977 976 975 972 976 975 976 978 976 974 980
Tramo 0 1 2 3 4 5 6 7 8 9 10 11 12 13
K = 34.520 195.796 355.51 6472.4 605.67 1450.67 6472.4 5974.5 681.4 1844.0 504.73 19925.4 19187.4 133.121
n = 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852(1/n)-1 -0.460 -0.460 -0.460 -0.460 -0.460 -0.460 -0.460 -0.460 -0.460 -0.460 -0.460 -0.460 -0.460 -0.460
Tramo0 1 2 3 4 5 6 7 8 9 10 11 12 13
0.0405562 0.0051074 0.0028128 0.0004635 0.0016511 0.00069 0.0004635 0.0006695 0.0029352 0.0005423 0.0039625 5.019E-05 0.0001042 0.0150239
Tramo 0 1 2 3 4 5 6 7 8 9 10 11 12 13
F1 = 0.177178 -0.05788 -0.03146
F2 = 0.05788 -0.04194
F3 = 0.04194 -0.01584 -0.00477
F4 = 0.01584 0.01584 0.01932
F5 = 0.03146 -0.01963
F6 = 0.01963 -0.01584 0.01724
F7 = -0.01724 0.05047
F8 = -0.04292 -0.05047 0.10364
F9 = -0.01932 0.04292 -0.00708
F10 = 0.00477 0.00708
Tramo 0 1 2 3 4 5 6 7 8 9 10 11 12 13
∂F1 = 0.06833 0.031252 0.016985
∂F2 = 0.031252 0.022647
ij
Ji
K
HH
n
ij
Ji
K
HH1
∂F3 = 0.022647 0.002851 0.002576
∂F4 = 0.002851 0.002851 0.002608
∂F5 = 0.016985 0.01060
∂F6 = 0.01060 0.002851 0.00931
∂F7 = 0.00931 0.01363
∂F8 = 0.01159 0.01363 0.027981
∂F9 = 0.002608 0.01159 0.00191
∂F10 = 0.002576 0.00191
Sistema Matricial [D][z]=[F]
A B C D E F G H J K
A -0.11657 0.03125 0.00000 0.00000 0.01699 0.00000 0.00000 0.00000 0.00000 0.00000 z1B 0.03125 -0.05390 0.02265 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 z2C 0.00000 0.02265 -0.02807 0.00285 0.00000 0.00000 0.00000 0.00000 0.00000 0.00258 z3D 0.00000 0.00000 0.00285 -0.00831 0.00000 0.00285 0.00000 0.00000 0.00261 0.00000 z4E 0.01699 0.00000 0.00000 0.00000 -0.02758 0.01060 0.00000 0.00000 0.00000 0.00000 * z5
=F 0.00000 0.00000 0.00000 0.00285 0.01060 -0.02276 0.00931 0.00000 0.00000 0.00000 z6G 0.00000 0.00000 0.00000 0.00000 0.00000 0.00931 -0.02294 0.01363 0.00000 0.00000 z7H 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.01363 -0.05319 0.01159 0.00000 z8J 0.00000 0.00000 0.00000 0.00261 0.00000 0.00000 0.00000 0.01159 -0.01611 0.00191 z9K 0.00000 0.00000 0.00258 0.00000 0.00000 0.00000 0.00000 0.00000 0.00191 -0.00449 z10
Cálculo del vector [z]
-13.813 -13.154 -12.245 -8.268 -11.722 -8.372 -4.590 -2.005 -3.808 -8.651 0.06624
-13.154 -42.391 -38.581 -19.754 -12.279 -10.877 -6.563 -3.614 -8.875 -25.929 0.00154
-12.245 -38.581 -74.926 -35.604 -13.047 -14.334 -9.285 -5.835 -15.869 -49.772 -0.00207
-8.268 -19.754 -35.604 -159.228 -20.399 -39.840 -25.408 -15.546 -41.491 -38.112 0.02221
-11.722 -12.279 -13.047 -20.399 -57.858 -37.443 -19.424 -7.111 -9.803 -11.666 * -0.00077=
-8.372 -10.877 -14.334 -39.840 -37.443 -84.033 -43.198 -15.293 -19.411 -16.497 -0.00237
-4.590 -6.563 -9.285 -25.408 -19.424 -43.198 -75.708 -24.529 -23.586 -15.376 0.01882
-2.005 -3.614 -5.835 -15.546 -7.111 -15.293 -24.529 -30.841 -26.439 -14.611 -0.00774
-3.808 -8.875 -15.869 -41.491 -9.803 -19.411 -23.586 -26.439 -93.642 -48.994 0.00572
-8.651 -25.929 -49.772 -38.112 -11.666 -16.497 -15.376 -14.611 -48.994 -272.338 -0.00075
Corrección de las Alturas de Presión AsumidaszH0 HI
11
1
n
ij
Ji
K
HH
nK
FzD
zFD 1
HA = 977.00 – -1.15072 = 978.151
HB = 976.00 – -1.38685 = 977.387
HC = 975.00 – -1.64481 = 976.645
HD = 972.00 – -4.49654 = 976.497
HE = 976.00 – -1.44582 = 977.446
HF = 975.00 – -1.99159 = 976.992
HG = 976.00 – -2.10022 = 978.100
HH = 978.00 – -0.79294 = 978.793
HJ = 976.00 – -1.83870 = 977.839
HK = 974.00 – -1.55970 = 975.560
ITERACION Nº 2 Reiniciar el cálculo con las cotas piezométricas corregidas
Nodos T1 A B C D E F G H J K T2
Cotas corregidas H´ 978.4 978.151 977.387 976.645 976.497 977.446 976.992 978.100 978.793 977.839 975.560 980
Tramo 0 1 2 3 4 5 6 7 8 9 10 11 12 13
K = 34.520 195.796 355.512 6472.4 605.67 1450.672 6472.4 5974.52 681.383 1843.960 504.73 19925.4 19187.43 133.121
n = 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852(1/n)-1 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043
Tramo0 1 2 3 4 5 6 7 8 9 10 11 12 13
0.0072213 0.0039014 0.0020872 2.291E-05 0.0011638 0.00031 7.649E-05 0.0002246 0.0014004 0.0006012 0.0013725 5.446E-05 0.0001188 0.0090674
Tramo 0 1 2 3 4 5 6 7 8 9 10 11 12 13
F1 = 0.06978 -0.05005 -0.02604
F2 = 0.05005 -0.03570
F3 = 0.03570 -0.00312 -0.00498
F4 = 0.00312 0.00599 0.01071
F5 = 0.02604 -0.01282
F6 = 0.012818 -0.00599 0.01823
F7 = -0.01823 0.02847
F8 = -0.02878 -0.02847 0.07891
F9 = -0.01071 0.02878 -0.00759
F10 = 0.00498 0.00759
zHH 0I
ij
Ji
K
HH
n
ij
Ji
K
HH1
Tramo 0 1 2 3 4 5 6 7 8 9 10 11 12 13
0.15115 0.03538 0.01995
0.03538 0.02598
0.02598 0.01137 0.00248
0.01137 0.00653 0.00431
0.01995 0.01524
0.01524 0.00653 0.00888
0.00888 0.02219
0.01629 0.02219 0.03530
0.00431 0.01629 0.00180
0.00248 0.00180
Sistema Matricial [D][z]=[F]
A B C D E F G H J K
A -0.20648 0.03538 0.00000 0.00000 0.01995 0.00000 0.00000 0.00000 0.00000 0.00000 z1
B 0.03538 -0.06135 0.02598 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 z2
C 0.00000 0.02598 -0.03983 0.01137 0.00000 0.00000 0.00000 0.00000 0.00000 0.00248 z3
D 0.00000 0.00000 0.01137 -0.02222 0.00000 0.00653 0.00000 0.00000 0.00431 0.00000 z4
E 0.01995 0.00000 0.00000 0.00000 -0.03519 0.01524 0.00000 0.00000 0.00000 0.00000 * z5=
F 0.00000 0.00000 0.00000 0.00653 0.01524 -0.03065 0.00888 0.00000 0.00000 0.00000 z6
G 0.00000 0.00000 0.00000 0.00000 0.00000 0.00888 -0.03107 0.02219 0.00000 0.00000 z7
H 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.02219 -0.07378 0.01629 0.00000 z8
J 0.00000 0.00000 0.00000 0.00431 0.00000 0.00000 0.00000 0.01629 -0.02240 0.00180 z9
K 0.00000 0.00000 0.00248 0.00000 0.00000 0.00000 0.00000 0.00000 0.00180 -0.00428 z10
Recálculo del vector [z]
-6.387 -5.953 -5.361 -4.331 -5.426 -4.168 -1.890 -0.979 -1.857 -3.888 -0.02791
-5.953 -30.781 -26.096 -17.163 -7.029 -8.439 -4.440 -2.839 -6.814 -17.989 -0.00006
-5.361 -26.096 -54.330 -34.637 -9.212 -14.253 -7.911 -5.373 -13.562 -37.190 0.00419
-4.331 -17.163 -34.637 -75.519 -14.387 -27.553 -14.863 -9.786 -24.077 -30.197 -0.00897
-5.426 -7.029 -9.212 -14.387 -43.698 -28.178 -11.691 -5.093 -7.143 -8.342 * 0.00063=
-4.168 -8.439 -14.253 -27.553 -28.178 -59.614 -24.522 -10.480 -14.063 -14.173 0.00166
-1.890 -4.440 -7.911 -14.863 -11.691 -24.522 -53.646 -20.236 -18.572 -12.393 -0.00416
-0.979 -2.839 -5.373 -9.786 -5.093 -10.480 -20.236 -24.139 -20.376 -11.681 0.00366
-1.857 -6.814 -13.562 -24.077 -7.143 -14.063 -18.572 -20.376 -66.997 -36.028 -0.00033
-3.888 -17.989 -37.190 -30.197 -8.342 -14.173 -12.393 -11.681 -36.028 -270.348 -0.00002
∂F1 =
∂F2 =
∂F3 =
∂F4 =
∂F5 =
∂F6 =
∂F7 =
∂F8 =
∂F9 =
∂F10 =
11
1
n
ij
Ji
K
HH
nK
Recálculo de las Alturas de Presiónz
HA = 978.151 – 0.18962 = 977.961
HB = 977.387 – 0.20472 = 977.182
HC = 976.645 – 0.22312 = 976.422
HD = 976.497 – 0.63407 = 975.862
HE = 977.446 – 0.20069 = 977.245
HF = 976.992 – 0.25624 = 976.735
HG = 978.100 – 0.26074 = 977.839
HH = 978.793 – 0.07497 = 978.718
HJ = 977.839 – 0.20905 = 977.630
HK = 975.560 – 0.22191 = 975.338
ITERACION Nº 3 Reiniciar el cálculo con las cotas piezométricas corregidas
Nodos T1 A B C D E F G H J K T2
Cotas corregidas H" 978.4 977.961 977.182 976.422 975.862 977.245 976.735 977.839 978.718 977.630 975.338 980
Tramo 0 1 2 3 4 5 6 7 8 9 10 11 12 13
K = 34.520 195.796 355.512 6472.4 605.67 1450.672 6472.4 5974.52 681.383 1843.960 504.73 19925.4 19187.43 133.121
n = 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852(1/n)-1 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043
Tramo0 1 2 3 4 5 6 7 8 9 10 11 12 13
0.0127144 0.0039785 0.002139 8.64E-05 0.0011821 0.00035 0.0001349 0.0002958 0.0015972 0.0005988 0.0017405 5.44E-05 0.0001194 0.0096306
Tramo 0 1 2 3 4 5 6 7 8 9 10 11 12 13
F1 = 0.09471 -0.05058 -0.02626
F2 = 0.05058 -0.03618
F3 = 0.03618 -0.00640 -0.00498
F4 = 0.00640 0.00813 0.01243
F5 = 0.02626 -0.01364
F6 = 0.01364 -0.00813 0.01819
F7 = -0.01819 0.03237
F8 = -0.03090 -0.03237 0.08152
F9 = -0.01243 0.03090 -0.00762
F10 = 0.00498 0.00762
HII HI
ij
Ji
K
HH
n
ij
Ji
K
HH1
Tramo 0 1 2 3 4 5 6 7 8 9 10 11 12 13
0.11652 0.03506 0.01981
0.03506 0.02569
0.02569 0.00618 0.00248
0.00618 0.00503 0.00380
0.01981 0.01445
0.01445 0.00503 0.00890
0.00890 0.01989
0.01533 0.01989 0.03433
0.00380 0.01533 0.00179
0.00248 0.00179
Sistema Matricial [D][z]=[F]
A B C D E F G H J K
A -0.17138 0.03506 0.00000 0.00000 0.01981 0.00000 0.00000 0.00000 0.00000 0.00000 z1
B 0.03506 -0.06075 0.02569 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 z2
C 0.00000 0.02569 -0.03434 0.00618 0.00000 0.00000 0.00000 0.00000 0.00000 0.00248 z3
D 0.00000 0.00000 0.00618 -0.01501 0.00000 0.00503 0.00000 0.00000 0.00380 0.00000 z4
E 0.01981 0.00000 0.00000 0.00000 -0.03426 0.01445 0.00000 0.00000 0.00000 0.00000 z5
F 0.00000 0.00000 0.00000 0.00503 0.01445 -0.02838 0.00890 0.00000 0.00000 0.00000 * z6=
G 0.00000 0.00000 0.00000 0.00000 0.00000 0.00890 -0.02879 0.01989 0.00000 0.00000 z7
H 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.01989 -0.06956 0.01533 0.00000 z8
J 0.00000 0.00000 0.00000 0.00380 0.00000 0.00000 0.00000 0.01533 -0.02092 0.00179 z9
K 0.00000 0.00000 0.00248 0.00000 0.00000 0.00000 0.00000 0.00000 0.00179 -0.00428 z10
Recálculo del vector [z]
-8.228 -7.758 -7.117 -5.266 -6.974 -5.254 -2.455 -1.203 -2.274 -5.084 -0.00373
-7.758 -33.368 -29.390 -16.659 -8.067 -8.490 -4.557 -2.798 -6.781 -19.902 0.00000
-7.117 -29.390 -59.789 -32.207 -9.558 -12.905 -7.425 -4.974 -12.933 -40.124 0.00140
-5.266 -16.659 -32.207 -97.496 -16.082 -30.908 -17.327 -11.253 -28.575 -30.683 -0.00184
-6.974 -8.067 -9.558 -16.082 -46.062 -30.437 -13.178 -5.460 -7.672 -8.767 * 0.00002=
-5.254 -8.490 -12.905 -30.908 -30.437 -64.957 -27.876 -11.294 -15.071 -13.814 0.00030
-2.455 -4.557 -7.425 -17.327 -13.178 -27.876 -57.717 -20.794 -19.451 -12.472 -0.00023
-1.203 -2.798 -4.974 -11.253 -5.460 -11.294 -20.794 -25.042 -21.410 -11.871 0.00026
-2.274 -6.781 -12.933 -28.575 -7.672 -15.071 -19.451 -21.410 -71.901 -37.680 0.00005
∂F1 =
∂F2 =
∂F3 =
∂F4 =
∂F5 =
∂F6 =
∂F7 =
∂F8 =
∂F9 =
∂F10 =
11
1
n
ij
Ji
K
HH
nK
-5.084 -19.902 -40.124 -30.683 -8.767 -13.814 -12.472 -11.871 -37.680 -272.93 0.00000
Recálculo de las Alturas de Presiónz
HA = 977.961 – 0.02883 = 977.932HB = 977.182 – 0.01572 = 977.166HC = 976.422 – -0.00215 = 976.424HD = 975.862 – 0.14396 = 975.719HE = 977.245 – 0.03330 = 977.212HF = 976.735 – 0.04093 = 976.694HG = 977.839 – 0.02875 = 977.811HH = 978.718 – 0.01196 = 978.706HJ = 977.630 – 0.03361 = 977.596HK = 975.338 – 0.01286 = 975.325
ITERACION Nº 4 Reiniciar el cálculo con las cotas piezométricas corregidas
Nodos T1 A B C D E F G H J K T2
Cotas corregidas H" 978.4 977.932 977.166 976.424 975.719 977.212 976.694 977.811 978.706 977.596 975.325 980
Tramo 0 1 2 3 4 5 6 7 8 9 10 11 12 13
K = 34.520 195.796 355.512 6472.4 605.67 1450.672 6472.4 5974.52 681.383 1843.960 504.73 19925.4 19187.43 133.121
n = 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852 1.852(1/n)-1 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043 -0.460043
Tramo0 1 2 3 4 5 6 7 8 9 10 11 12 13
0.0135495 0.0039116 0.0020887 0.000109 0.0011895 0.00036 0.0001508 0.0003143 0.001629 0.0006054 0.0017738 5.515E-05 0.0001184 0.0097205
Tramo 0 1 2 3 4 5 6 7 8 9 10 11 12 13
F1 = 0.09802 -0.05012 -0.02635
F2 = 0.05012 -0.03571
F3 = 0.03571 -0.00725 -0.00502
F4 = 0.00725 0.00864 0.01284
F5 = 0.02635 -0.01375
F6 = 0.01375 -0.00864 0.01830
F7 = -0.01830 0.03270
F8 = -0.03123 -0.03270 0.08193
HIII HII
ij
Ji
K
HH
n
ij
Ji
K
HH1
F9 = -0.01284 0.03123 -0.00758
F10 = 0.00502 0.00758
Tramo 0 1 2 3 4 5 6 7 8 9 10 11 12 13
0.11316 0.03533 0.01975
0.03533 0.02597
0.02597 0.00555 0.00247
0.00555 0.00478 0.00369
0.01975 0.01435
0.01435 0.00478 0.00885
0.00885 0.01972
0.01519 0.01972 0.03419
0.00369 0.01519 0.00180
0.00247 0.00180
Sistema Matricial [D][z]=[F]
A B C D E F G H J K
A -0.16824 0.03533 0.00000 0.00000 0.01975 0.00000 0.00000 0.00000 0.00000 0.00000 z1
B 0.03533 -0.06130 0.02597 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 z2
C 0.00000 0.02597 -0.03399 0.00555 0.00000 0.00000 0.00000 0.00000 0.00000 0.00247 z3
D 0.00000 0.00000 0.00555 -0.01402 0.00000 0.00478 0.00000 0.00000 0.00369 0.00000 z4
E 0.01975 0.00000 0.00000 0.00000 -0.03410 0.01435 0.00000 0.00000 0.00000 0.00000 z5
F 0.00000 0.00000 0.00000 0.00478 0.01435 -0.02798 0.00885 0.00000 0.00000 0.00000 * z6=
G 0.00000 0.00000 0.00000 0.00000 0.00000 0.00885 -0.02857 0.01972 0.00000 0.00000 z7
H 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.01972 -0.06910 0.01519 0.00000 z8
J 0.00000 0.00000 0.00000 0.00369 0.00000 0.00000 0.00000 0.01519 -0.02069 0.00180 z9
K 0.00000 0.00000 0.00247 0.00000 0.00000 0.00000 0.00000 0.00000 0.00180 -0.00427 z10
-8.466 -8.002 -7.371 -5.364 -7.172 -5.391 -2.517 -1.227 -2.315 -5.236 -0.00005
-8.002 -33.530 -29.755 -16.415 -8.182 -8.430 -4.519 -2.764 -6.705 -20.022 0.00000
-7.371 -29.755 -60.209 -31.449 -9.556 -12.564 -7.242 -4.854 -12.676 -40.139 0.00005
-5.364 -16.415 -31.449 -102.195 -16.330 -31.420 -17.668 -11.495 -29.350 -30.563 -0.00007
-7.172 -8.182 -9.556 -16.330 -46.457 -30.841 -13.358 -5.511 -7.728 -8.784 * 0.00000=
-5.391 -8.430 -12.564 -31.420 -30.841 -65.865 -28.278 -11.407 -15.177 -13.668 0.00001
-2.517 -4.519 -7.242 -17.668 -13.358 -28.278 -58.198 -20.919 -19.601 -12.461 0.00000
-1.227 -2.764 -4.854 -11.495 -5.511 -11.407 -20.919 -25.188 -21.587 -11.919 0.00000
∂F1 =
∂F2 =
∂F3 =
∂F4 =
∂F5 =
∂F6 =
∂F7 =
∂F8 =
∂F9 =
∂F10 =
11
1
n
ij
Ji
K
HH
nK
-2.315 -6.705 -12.676 -29.350 -7.728 -15.177 -19.601 -21.587 -72.744 -38.039 0.00000
-5.236 -20.022 -40.139 -30.563 -8.784 -13.668 -12.461 -11.919 -38.039 -273.53 0.00000
Recálculo de las Alturas de Presión Nodos H piezométricas hf Q Cota tubería
Tramo Atrás Adelante Atrás Adelante Atrás Adelante
z 0 T1 A 2978.40 2977.93 0.468 0.09802 2978.40 2943.00HA = 977.93 – 0.00034 = 977.932 1 A B 2977.93 2977.17 0.765 0.05012 2943.00 2948.20HB = 977.17 – -0.00004 = 977.166 2 B C 2977.17 2976.42 0.742 0.03571 2948.20 2952.80HC = 976.42 – -0.00053 = 976.424 3 C D 2976.42 2975.71 0.711 0.00725 2952.80 2957.90HD = 975.72 – 0.00516 = 975.713 4 A E 2977.93 2977.21 0.721 0.02635 2943.00 2944.30HE = 977.21 – 0.00057 = 977.211 5 E F 2977.21 2976.69 0.518 0.01375 2944.30 2945.20HF = 976.69 – 0.00089 = 976.694 6 F D 2976.69 2975.71 0.980 0.00864 2945.20 2957.90HG = 977.81 – 0.00055 = 977.810 13 T2 H 2980.00 2978.71 1.294 0.08193 2980.00 2933.00HH = 978.71 – 0.00034 = 978.706 10 H G 2978.71 2977.81 0.895 0.03270 2933.00 2938.10HJ = 977.60 – 0.00097 = 977.595 9 G F 2977.81 2976.69 1.117 0.01830 2938.10 2945.20HK = 975.32 – 0.00015 = 975.325 8 H J 2978.71 2977.60 1.111 0.03123 2933.00 2927.90
7 J D 2977.60 2975.71 1.882 0.01284 2927.90 2957.90
12 J K 2977.60 2975.32 2.270 0.00758 2927.90 2939.80
11 C K 2976.42 2975.32 1.100 0.00502 2957.90 2939.80
HIV HIII
qn ∑Fn
-0.02160 = 0.066242
-0.01440 = 0.001538
-0.02340 = -0.002070
-0.02880 = 0.022206
-0.01260 = -0.000772
-0.02340 = -0.002370
-0.01440 = 0.018823
-0.01800 = -0.007741
-0.01080 = 0.005718
-0.01260 = -0.000752
qn ∑∂Fn
= -0.116572
= -0.053899
= -0.028074
= -0.008311
= -0.027584
= -0.022761
= -0.022936
= -0.053193
= -0.016106
= -0.004486
0.06624
0.00154
-0.00207
0.02221
-0.00077
-0.00237
0.01882
-0.00774
0.00572
-0.00075
z1 = -1.150721
z2 = -1.386850
z3 = -1.644813
z4 = -4.496538
z5 = -1.445820
z6 = -1.991586
z7 = -2.100221
z8 = -0.792939
z9 = -1.838703
z10 = -1.559705
qn ∑Fn
-0.02160 = -0.027907
-0.01440 = -0.000056
-0.02340 = 0.004193
-0.02880 = -0.008974
-0.01260 = 0.000626
-0.02340 = 0.001661
-0.01440 = -0.004162
-0.01800 = 0.003659
-0.01080 = -0.000328
-0.01260 = -0.000020
qn ∑∂Fn
= -0.206478
= -0.061354
= -0.039833
= -0.022216
= -0.035187
= -0.030649
= -0.031070
= -0.073775
= -0.022396
= -0.004280
-0.02791
-0.00006
0.00419
-0.00897
0.00063
0.00166
-0.00416
0.00366
-0.00033
-0.00002
z1 = 0.189621
z2 = 0.204721
z3 = 0.223116
z4 = 0.634074
z5 = 0.200695
z6 = 0.256243
z7 = 0.260743
z8 = 0.074975
z9 = 0.209049
z10 = 0.221912
qn ∑Fn
-0.02160 = -0.003730
-0.01440 = 0.000000
-0.02340 = 0.001399
-0.02880 = -0.001840
-0.01260 = 0.000022
-0.02340 = 0.000300
-0.01440 = -0.000226
-0.01800 = 0.000255
-0.01080 = 0.000050
-0.01260 = 0.000000
qn ∑∂Fn
= -0.171384
= -0.060746
= -0.034345
= -0.015005
= -0.034257
= -0.028378
= -0.028790
= -0.069557
= -0.020923
= -0.004277
-0.00373
0.00000
0.00140
-0.00184
0.00002
0.00030
-0.00023
0.00026
0.00005
0.00000
z1 = 0.028827
z2 = 0.015723
z3 = -0.002151
z4 = 0.143956
z5 = 0.033301
z6 = 0.040935
z7 = 0.028754
z8 = 0.011962
z9 = 0.033606
z10 = 0.012863
qn ∑Fn
-0.02160 = -0.000047
-0.01440 = 0.000001
-0.02340 = 0.000046
-0.02880 = -0.000067
-0.01260 = 0.000000
-0.02340 = 0.000013
-0.01440 = -0.000001
-0.01800 = 0.000002
-0.01080 = 0.000004
-0.01260 = 0.000000
qn ∑∂Fn
= -0.168241
= -0.061303
= -0.033986
= -0.014024
= -0.034102
= -0.027983
= -0.028572
= -0.069100
= -0.020688
= -0.004268
-0.00005
0.00000
0.00005
-0.00007
0.00000
0.00001
0.00000
0.00000
0.00000
0.00000
z1 = 0.00033915
z2 = -3.8935E-05
z3 = -0.00052565
z4 = 0.00516126
z5 = 0.00056542
z6 = 0.00089425
z7 = 0.00055434
z8 = 0.00034185
z9 = 0.00097227
z10 = 0.0001527
Presión
34.93
28.97
23.62
17.81
32.91
31.49
17.81
45.71
39.71
31.49
49.70
17.81
35.52
35.52
SOLUCION CON EL METODO DE WOOD Y CHARLES
Nodo Elevac Nodos Tramo LongT1 3369.5 T1-A 0 400A 3334.1 A-B 1 230B 3339.3 B-C 2 250 qAC 3343.9 C-D 3 260 21.60D 3349.0 A-E 4 240E 3335.4 E-F 5 300F 3336.3 F-D 6 260 4G 3329.2 J-D 7 240 Q =H 3324.1 H-J 8 270 qE L =J 3319.0 G-F 9 180 12.6 EK 3330.9 H-G 10 200T2 3371.0 C-K 11 270
J-K 12 260 5T2-H 13 380 Q = 12.33
L = 300
Q = 180.00 (l/s)COEFIC IENTES q6DE MODULACION 23.40 F
k2 = 1.000 6Periodo K2 9 Q =0 a 2 0.602
Qh = 180.00 (l/s)Q = 4.77 L =
2 a 4 0.580 qG G L = 1804 a 6 0.789 14.40
6 a 8 1.280 Nodo % qnodo III8 a10 1.590 A 0.12 21.60 10
10 a12 1.463 B 0.08 14.40 Q = 12.7712 a14 1.395 C 0.13 23.40 L = 20014 a16 1.120 D 0.16 28.8016 a18 0.926 E 0.07 12.6018a20 0.820 F 0.13 23.40 H20 a22 0.770 G 0.08 14.40 qH 822 a24 0.665 H 0.10 18.00 18.00 Q = 17.23
∑ 12 J 0.06 10.80 L = 270Prom 1 K 0.07 12.60
∑ 1.00 180.0013
Q = 72.00L = 380
T23371
QQKh ,f 8520
87,4
852,1
67,10D
L
C
Qh f
8748521
6710,, DC
L,K
8748521
6710,, DC
L,K
8521,f QKh
SOLUCION CON EL METODO DE WOOD Y CHARLES
T1 3369.5
Tramo 0 1 2 30Q = 108.0 NodoA Qo - Q1L = 400 NodoB Q1 -Q2
NodoC Q2 -Q3NodoD Q3
A NodoE1 NodoF
19.33 Q = 28.67 NodoG240 L = 230 NodoH
B qB NodoJ14.40 NodoK
AnilloI
I2 AnilloIIQ = 20.67 AnilloIIIL = 250 AnilloIV
qD Constantes de tramo28.80 C qC
3 23.40 Tramo 0 1 2 34.10 Q = 4.10 Qo = 0.1080 0.0287 0.0207 0.0041260 L = 260 D = 0.371 0.191 0.162 0.072
Dcom 0.400 0.250 0.225 0.125 D
II11 L = 400 230 250 260
Q = 3.566 C = 150 150 150 1507 L = 270 K = 34.520 195.7958 355.51 6472.395Q = 7.80L = 240 PRIMERA ITERACION
Tramo 0 1 2 3 K NodoA 1 1 0 0
12 NodoB 0 1 -1 0 J Q = 3.434 qK NodoC 0 0 1 -1
L = 260 12.60 NodoD 0 0 0 1qJ NodoE 0 0 0 0
10.80 NodoF 0 0 0 0NodoG 0 0 0 0NodoH 0 0 0 0NodoJ 0 0 0 0NodoK 0 0 0 0AnilloI 0 9.495 13.045 59.86AnilloII 0 0 0 -59.9AnilloIII 0 0 0 0AnilloIV 5.183 0 0 0
K1Q1n K2Q2
n K3Q3n
- K3Q3n
KoQon
1.02582 -0.90153 -0.73076 -0.08547-0.01968 0.93627 0.82168 0.45139-0.01968 -0.06373 0.82168 0.45139-0.01444 -0.04977 -0.13798 0.431120.00614 0.03474 0.09092 0.36592
-0.05262 0.06619 0.08483 0.186450.00614 0.03474 0.09092 0.365920.00829 0.01502 0.04705 0.202950.06705 -0.01642 0.05315 0.382430.05876 -0.03144 0.00609 0.179470.05876 -0.03144 0.00609 0.17947
-0.00524 -0.01396 -0.04034 0.020270.00524 0.01396 0.04034 -0.020270.12581 -0.047862 0.059236 0.561902
K = 34.520 195.796 355.5 6472.4Q1 = 0.0129 0.0549 0.0405 0.0112
AnilloI 0 0.908 0.939 1.572AnilloII 0 0 0 -1.572AnilloIII 0 0 0 0AnilloIV 0.0109 0 0 0
SEGUNDA ITERACION
Tramo 0 1 2 3NodoA 1 1 0 0NodoB 0 1 -1 0NodoC 0 0 1 -1NodoD 0 0 0 1NodoE 0 0 0 0NodoF 0 0 0 0NodoG 0 0 0 0NodoH 0 0 0 0NodoJ 0 0 0 0NodoK 0 0 0 0AnilloI 0 16.528 23.163 140.69AnilloII 0 0 0 -140.7AnilloIII 0 0 0 0AnilloIV 0.8478 0 0 0
1.000757 -0.893641 -0.74352 -0.032468-0.001468 0.922807 0.812565 0.362367-0.001468 -0.077193 0.812565 0.362367
-0.00093 -0.056954 -0.138078 0.33192-0.000711 0.029166 0.069045 0.329899-0.004989 0.027261 0.058476 0.263851-0.000711 0.029166 0.069045 0.3298990.001641 0.027788 0.069033 0.3381810.005919 0.029693 0.079602 0.4042290.004278 0.001905 0.010569 0.066048
0.004278 0.001905 0.010569 0.066048-0.000538 -0.020238 -0.049357 0.0304470.000538 0.020238 0.049357 -0.0304470.010197 0.031597 0.090171 0.470277
K = 34.520 195.796 355.512 6472.39Q1 = 0.0120 0.0543 0.0399 0.0101
AnilloI 0 0.887 0.910 1.310AnilloII 0 0 0 -1.310AnilloIII 0 0 0 0AnilloIV 0.0096 0 0 0
TERCERA ITERACION
Tramo 0 1 2 3NodoA 1 1 0 0NodoB 0 1 -1 0NodoC 0 0 1 -1NodoD 0 0 0 1NodoE 0 0 0 0NodoF 0 0 0 0NodoG 0 0 0 0NodoH 0 0 0 0NodoJ 0 0 0 0NodoK 0 0 0 0AnilloI 0 16.353 22.832 129.35AnilloII 0 0 0 -129.3AnilloIII 0 0 0 0AnilloIV 0.7975 0 0 0
1.00131 -0.889952 -0.734476 -0.035817-0.001566 0.922508 0.812128 0.388191-0.001566 -0.077492 0.812128 0.388191-0.001023 -0.057559 -0.13935 0.362756-0.000256 0.032556 0.077652 0.352374-0.004848 0.02485 0.052777 0.224067-0.000256 0.032556 0.077652 0.3523740.001279 0.025003 0.061698 0.284870.005871 0.032709 0.086573 0.4131770.004591 0.007706 0.024875 0.1283060.004591 0.007706 0.024875 0.128306
-0.000543 -0.019933 -0.048522 0.0254350.000543 0.019933 0.048522 -0.0254350.010462 0.040415 0.111448 0.541483
K = 34.520 195.796 355.512 6472.39Q1 = 0.0109 0.0541 0.0397 0.0098
AnilloI 0 0.882 0.902 1.222
AnilloII 0 0 0 -1.222AnilloIII 0 0 0 0AnilloIV 0.0080 0 0 0
CUARTA ITERACION
Tramo 0 1 2 3NodoA 1 1 0 0NodoB 0 1 -1 0NodoC 0 0 1 -1NodoD 0 0 0 1NodoE 0 0 0 0NodoF 0 0 0 0NodoG 0 0 0 0NodoH 0 0 0 0NodoJ 0 0 0 0NodoK 0 0 0 0AnilloI 0 16.304 22.739 125.29AnilloII 0 0 0 -125.3AnilloIII 0 0 0 0AnilloIV 0.7362 0 0 0
1.001613 -0.886414 -0.72575 -0.014714-0.001554 0.921993 0.811033 0.394341-0.001554 -0.078007 0.811033 0.394341-0.001048 -0.058204 -0.140841 0.3700045.82E-05 0.03558 0.085283 0.379628
-0.004736 0.022568 0.047438 0.1958635.82E-05 0.03558 0.085283 0.3796280.00099 0.022625 0.055559 0.250368
0.005784 0.035636 0.093403 0.4341330.004794 0.013012 0.037845 0.1837650.004794 0.013012 0.037845 0.183765
-0.000507 -0.019802 -0.048126 0.0243370.000507 0.019802 0.048126 -0.0243370.010578 0.048648 0.131248 0.617898
K = 34.520 195.796 355.512 6472.39Q1 = 0.0115 0.0542 0.0398 0.0099
AnilloI 0 0.885 0.906 1.266AnilloII 0 0 0 -1.266AnilloIII 0 0 0 0AnilloIV 0.0088 0 0 0
QUINTA ITERACION
Tramo 0 1 2 3NodoA 1 1 0 0NodoB 0 1 -1 0NodoC 0 0 1 -1
NodoD 0 0 0 1NodoE 0 0 0 0NodoF 0 0 0 0NodoG 0 0 0 0NodoH 0 0 0 0NodoJ 0 0 0 0NodoK 0 0 0 0AnilloI 0 16.329 22.786 127.32AnilloII 0 0 0 -127.3AnilloIII 0 0 0 0AnilloIV 0.7670 0 0 0
1.001456 -0.888333 -0.730479 -0.026661-0.00156 0.922297 0.811693 0.391717-0.00156 -0.077703 0.811693 0.391717
-0.001033 -0.057819 -0.139941 0.367024-0.000104 0.033964 0.081214 0.365056-0.004781 0.023812 0.050369 0.211053-0.000104 0.033964 0.081214 0.3650560.001136 0.023854 0.058727 0.267920.005814 0.034007 0.089572 0.4219230.004677 0.010152 0.030845 0.1540030.004677 0.010152 0.030845 0.154003
-0.000527 -0.019884 -0.048366 0.0246930.000527 0.019884 0.048366 -0.0246930.010491 0.044159 0.120418 0.575925
K = 34.520 195.796 355.512 6472.39Q1 = 0.0112 0.0541 0.0397 0.0098
AnilloI 0 0.883 0.904 1.244AnilloII 0 0 0 -1.244AnilloIII 0 0 0 0AnilloIV 0.0084 0 0 0
SEXTA ITERACION
Tramo 0 1 2 3NodoA 1 1 0 0NodoB 0 1 -1 0NodoC 0 0 1 -1NodoD 0 0 0 1NodoE 0 0 0 0NodoF 0 0 0 0NodoG 0 0 0 0NodoH 0 0 0 0NodoJ 0 0 0 0NodoK 0 0 0 0AnilloI 0 16.316 22.762 126.31AnilloII 0 0 0 -126.3AnilloIII 0 0 0 0
AnilloIV 0.7516 0 0 0
1.001533 -0.887415 -0.728217 -0.021079-0.001557 0.922158 0.811393 0.393149-0.001557 -0.077842 0.811393 0.393149
-0.00104 -0.057994 -0.140349 0.368687-2.42E-05 0.034743 0.083176 0.372071-0.004755 0.02322 0.048979 0.203774-2.42E-05 0.034743 0.083176 0.3720710.001064 0.023252 0.057173 0.2592420.005795 0.034774 0.09137 0.4275380.004731 0.011522 0.034197 0.1682960.004731 0.011522 0.034197 0.168296
-0.000517 -0.019848 -0.048258 0.0244620.000517 0.019848 0.048258 -0.0244620.010526 0.046297 0.125567 0.595834
K = 34.520 195.796 355.512 6472.39Q1 = 0.0114 0.0544 0.0400 0.0102
AnilloI 0 0.891 0.916 1.339AnilloII 0 0 0 -1.339AnilloIII 0 0 0 0AnilloIV 0.0086 0 0 0
SEPTIMA ITERACION
Tramo 0 1 2 3NodoA 1 1 0 0NodoB 0 1 -1 0NodoC 0 0 1 -1NodoD 0 0 0 1NodoE 0 0 0 0NodoF 0 0 0 0NodoG 0 0 0 0NodoH 0 0 0 0NodoJ 0 0 0 0NodoK 0 0 0 0AnilloI 0 16.386 22.894 130.64AnilloII 0 0 0 -130.6AnilloIII 0 0 0 0AnilloIV 0.7603 0 0 0
1.001329 -0.88911 -0.732319 -0.02099-0.001509 0.92248 0.812061 0.38532-0.001509 -0.07752 0.812061 0.38532-0.000988 -0.057477 -0.139164 0.359844
-0.00018 0.03337 0.079742 0.36433-0.004703 0.02426 0.051584 0.220428
-0.00018 0.03337 0.079742 0.36433
0.001168 0.024107 0.059422 0.2758260.005691 0.033217 0.087579 0.4197280.004523 0.00911 0.028157 0.1439020.004523 0.00911 0.028157 0.143902
-0.000521 -0.020043 -0.048775 0.0254760.000521 0.020043 0.048775 -0.0254760.010214 0.042327 0.115736 0.56363
0 1 2 3
K = 34.520 195.796 355.512 6472.39Q = 0.0113 0.0544 0.0400 0.0103
AnilloI 0 0.892 0.917 1.350AnilloII 0 0 0 -1.350AnilloIII 0 0 0 0AnilloIV 0.0086 0 0 0
Nodoshf
H piezométricas
Tramo Atrás Adelante Atrás0 T1 A 0.009 2978.4001 A B 0.892 2978.3912 B C 0.917 2977.4993 C D 1.350 2976.5824 A E 1.873 2978.3915 E F 0.415 2976.5196 F D 0.874 2976.104
13 T2 H 1.611 2980.00010 H G 0.948 2978.3899 G F 1.235 2977.4418 H J 1.796 2978.3897 J D 1.263 2976.594
12 J K 1.598 2976.59411 C K 1.689 2976.582
4 5 6 7 8 9 10 11 12 13
-Q4 ==
-Q11 =Q6 Q7 =
Q4 -Q5 =Q5 -Q6 Q9 =
- Q9 Q10 = - Q8 - Q10 Q13 =
- Q7 Q8 -Q9 =Q11 Q12 =
====
4 5 6 7 8 9 10 11 12 130.0193 0.0123 0.0041 0.0078 0.0172 0.0048 0.0128 0.0036 0.0034 0.0720
0.157 0.125 0.072 0.100 0.148 0.078 0.127 0.067 0.066 0.3030.200 0.175 0.125 0.125 0.200 0.150 0.200 0.100 0.100 0.300
240 300 260 240 270 180 200 270 260 380
150 150 150 150 150 150 150 150 150 150605.6735 1450.672 6472.395 5974.518 681.3827 1843.96 504.7279 19925.41 19187.43 133.121
4 5 6 7 8 9 10 11 12 13-1 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 -1 0 00 0 1 1 0 0 0 0 0 01 -1 0 0 0 -1 0 0 0 00 1 -1 0 0 1 0 0 0 0
*0 0 0 0 0 -1 1 0 0 00 0 0 0 -1 0 -1 0 0 10 0 0 -1 1 -1 0 0 0 00 0 0 0 0 0 0 1 1 0
-21.00 -34.29 -59.9 0 0 0 0 0 0 00 0 0 95.58 0 0 0 163.6325 -152.5859 00 0 59.86 -95.58 -21.42 19.38811 12.286 0 0 0
21.00 34.29 0 0 0 -19.38811 -12.286 0 0 -14.148
- K4Q4n - K5Q5
n - K6Q6n
K7Q7n K11Q11
n - KQ12n
K6Q6n -K7Q7
n -K8Q8n K9Q9
n K10Q10n
K4Q4n K5Q5
n -K9Q9n -K10Q10
n -K13Q13n
0.85554 0.57747 -0.10691 -0.07048 -0.11366 -0.35262 -0.01309 -0.00231 -0.00202 -0.004980.08506 0.25610 0.03251 0.05371 0.17198 0.39649 0.00878 0.00260 0.00552 0.003800.08506 0.25610 0.03251 0.05371 0.17198 0.39649 0.00878 0.00260 0.00552 0.003800.06906 0.20542 0.03687 0.03941 0.10348 -0.06658 0.00676 -0.00044 0.00299 0.002790.94060 0.83357 -0.07440 -0.01677 0.05832 0.04387 -0.00431 0.00029 0.00351 -0.00119
-0.29581 0.30703 0.26118 0.14364 0.15617 0.04093 -0.00143 0.00027 0.00059 0.01015-0.05940 -0.16643 -0.07440 -0.01677 0.05832 0.04387 -0.00431 0.00029 0.00351 -0.00119
*-0.00967 -0.03900 0.03753 -0.02264 -0.16180 0.02271 -0.00246 0.00015 -0.00650 -0.001600.22675 0.48755 -0.29806 -0.18304 0.74035 0.02564 -0.00533 0.00017 -0.00358 -0.012940.23642 0.52654 -0.33558 -0.16040 -0.09785 0.00294 -0.00288 0.00002 0.00292 -0.011340.23642 0.52654 0.66442 -0.16040 -0.09785 0.00294 -0.00288 0.00002 0.00292 -0.011340.01600 0.05068 -0.00436 0.01430 0.06850 0.46307 0.00202 0.00303 0.00253 0.00101
-0.01600 -0.05068 0.00436 -0.01430 -0.06850 0.53693 -0.00202 -0.00303 -0.00253 -0.001010.463164 1.014088 0.366359 0.656552 0.642502 0.028583 -0.00821 0.000187 -0.000656 -0.024275
605.7 1450.7 6472.4 5974.5 681.4 1844.0 504.73 19925.41 19187.43 133.1210.0462 0.0039 0.0102 0.0074 0.0479 0.0297 0.0441 0.0060 0.0066 0.1100
-2.041 -0.051 -1.337906 0 0 0 0 0 0 0 =0 0 0 0.6727 0 0 0 1.5132 -1.774226 0 =0 0 1.3379 -0.6727 -2.449 2.7362 1.5576 0 0 0 =2.041 0.051 0 0 0 -2.7362 -1.5576 0 0 -2.2319 =
4 5 6 7 8 9 10 11 12 13-1 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 -1 0 00 0 1 1 0 0 0 0 0 01 -1 0 0 0 -1 0 0 0 00 1 -1 0 0 1 0 0 0 0
*0 0 0 0 0 -1 1 0 0 00 0 0 0 -1 0 -1 0 0 10 0 0 -1 1 -1 0 0 0 00 0 0 0 0 0 0 1 1 0
-44.14 -12.99 -130.6 0 0 0 0 0 0 00 0 0 91.17 0 0 0 253.6627 -267.4231 00 0 130.61 -91.2 -51.15 92.14572 35.324 0 0 044.14 12.99 0 0 0 -92.14572 -35.324 0 0 -20.2959
0.754081 0.681466 -0.013817 -0.018123 -0.070031 -0.381577 -0.006481 -0.001427 -0.001015 -0.0008930.132176 0.171517 -0.020178 0.03515 0.203846 0.417011 0.004759 0.001559 0.003298 0.0017320.132176 0.171517 -0.020178 0.03515 0.203846 0.417011 0.004759 0.001559 0.003298 0.0017320.105247 0.136503 -0.009849 0.022265 0.124873 -0.070862 0.003502 -0.000265 0.002006 0.0010970.886256 0.852983 -0.033995 0.017027 0.133816 0.035434 -0.001722 0.000133 0.002283 0.000839
-0.324236 0.581787 0.288911 0.119431 0.175013 0.03001 -0.001348 0.000112 0.001087 0.005884-0.113744 -0.147017 -0.033995 0.017027 0.133816 0.035434 -0.001722 0.000133 0.002283 0.000839
*0.008496 0.010514 0.043844 -0.039291 -0.258689 0.035428 -0.001781 0.000132 -0.004289 -0.0019360.218989 0.281711 -0.279062 -0.141695 0.700114 0.040852 -0.002155 0.000153 -0.003093 -0.0069810.210492 0.271196 -0.322906 -0.102404 -0.041197 0.005424 -0.000374 2.03E-05 0.001197 -0.005046
0.210492 0.271196 0.677094 -0.102404 -0.041197 0.005424 -0.000374 2.03E-05 0.001197 -0.0050460.026929 0.035014 -0.01033 0.012885 0.078973 0.487873 0.001257 0.001824 0.001292 0.000635
-0.026929 -0.035014 0.01033 -0.012885 -0.078973 0.512127 -0.001257 -0.001824 -0.001292 -0.0006350.429481 0.552907 0.398031 0.755901 0.658917 0.046276 -0.002529 0.000173 -0.001896 -0.012027
605.673 1450.672 6472.39 5974.52 681.383 1843.960 504.728 19925.41 19187.43 133.1210.0447 0.0112 0.0087 0.0100 0.0416 0.0208 0.0352 0.0063 0.0063 0.0949
-1.915 -0.356 -0.982567 0 0 0 0 0 0 0 =0 0 0 1.181501 0 0 0 1.6924 -1.594633 0 =0 0 0.983 -1.182 -1.890 1.418999 1.0279 0 0 0 =
1.9146 0.3561 0 0 0 -1.419 -1.0279 0 0 -1.6976 =
4 5 6 7 8 9 10 11 12 13-1 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 -1 0 00 0 1 1 0 0 0 0 0 01 -1 0 0 0 -1 0 0 0 00 1 -1 0 0 1 0 0 0 0
*0 0 0 0 0 -1 1 0 0 00 0 0 0 -1 0 -1 0 0 10 0 0 -1 1 -1 0 0 0 00 0 0 0 0 0 0 1 1 0
-42.86 -31.68 -113.3 0 0 0 0 0 0 00 0 0 118.13 0 0 0 267.0612 -254.6107 00 0 113.32 -118.1 -45.41 68.12133 29.176 0 0 0
42.86 31.68 0 0 0 -68.12133 -29.176 0 0 -17.895
0.779831 0.616109 -0.046473 -0.029384 -0.077351 -0.358473 -0.006809 -0.001408 -0.001056 -0.0016420.121478 0.212435 -0.003369 0.035138 0.184231 0.396373 0.004834 0.001557 0.003283 0.0019640.121478 0.212435 -0.003369 0.035138 0.184231 0.396373 0.004834 0.001557 0.003283 0.001964
0.09755 0.170417 0.00537 0.022948 0.108539 -0.068012 0.003582 -0.000267 0.001885 0.0012820.901309 0.828544 -0.049841 0.005754 0.10688 0.037899 -0.001975 0.000149 0.002227 0.000322
-0.317815 0.450832 0.263439 0.108781 0.14411 0.025759 -0.001223 0.000101 0.000778 0.006079-0.098691 -0.171456 -0.049841 0.005754 0.10688 0.037899 -0.001975 0.000149 0.002227 0.000322
*0.001141 0.001039 0.044471 -0.028702 -0.215419 0.030113 -0.001607 0.000118 -0.004112 -0.0016040.220265 0.378751 -0.268809 -0.131729 0.747351 0.042253 -0.002359 0.000166 -0.002663 -0.0073610.219124 0.377712 -0.31328 -0.103027 -0.03723 0.012141 -0.000752 4.77E-05 0.001449 -0.0057570.219124 0.377712 0.68672 -0.103027 -0.03723 0.012141 -0.000752 4.77E-05 0.001449 -0.0057570.023928 0.042018 -0.008739 0.012189 0.075692 0.464385 0.001252 0.001824 0.001398 0.000681
-0.023928 -0.042018 0.008739 -0.012189 -0.075692 0.535615 -0.001252 -0.001824 -0.001398 -0.0006810.439389 0.756463 0.417911 0.765244 0.710121 0.054394 -0.003111 0.000214 -0.001214 -0.013119
605.673 1450.672 6472.39 5974.52 681.383 1843.960 504.728 19925.41 19187.43 133.1210.0434 0.0158 0.0074 0.0116 0.0375 0.0150 0.0294 0.0065 0.0061 0.0849
-1.815 -0.666 -0.733244 0 0 0 0 0 0 0 =
0 0 0 1.564902 0 0 0 1.7820 -1.511222 0 =0 0 0.733 -1.565 -1.556 0.775993 0.7370 0 0 0 =
1.8152 0.6664 0 0 0 -0.776 -0.7370 0 0 -1.3827 =
4 5 6 7 8 9 10 11 12 13-1 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 -1 0 00 0 1 1 0 0 0 0 0 01 -1 0 0 0 -1 0 0 0 00 1 -1 0 0 1 0 0 0 0
*0 0 0 0 0 -1 1 0 0 00 0 0 0 -1 0 -1 0 0 10 0 0 -1 1 -1 0 0 0 00 0 0 0 0 0 0 1 1 0
-41.82 -42.27 -99.0 0 0 0 0 0 0 00 0 0 134.44 0 0 0 273.4778 -248.395 00 0 99.04 -134.4 -41.52 51.60532 25.035 0 0 0
41.82 42.27 0 0 0 -51.60532 -25.035 0 0 -16.2832
0.79772 0.591643 -0.066887 -0.035667 -0.074838 -0.345434 -0.007066 -0.001391 -0.000943 -0.002190.114228 0.231251 0.006296 0.03438 0.168616 0.386026 0.00488 0.001554 0.003233 0.0021110.114228 0.231251 0.006296 0.03438 0.168616 0.386026 0.00488 0.001554 0.003233 0.0021110.091415 0.184868 0.014625 0.023177 0.096455 -0.067036 0.003634 -0.00027 0.001765 0.0014230.911948 0.822894 -0.060591 -0.001287 0.093779 0.040592 -0.002186 0.000163 0.00229 -7.91E-05
-0.319505 0.362355 0.251083 0.104744 0.129128 0.022579 -0.001094 9.09E-05 0.000587 0.006433-0.088052 -0.177106 -0.060591 -0.001287 0.093779 0.040592 -0.002186 0.000163 0.00229 -7.91E-05
*-0.003363 -0.007762 0.045965 -0.021889 -0.190233 0.026444 -0.001448 0.000106 -0.004055 -0.0013440.22809 0.452777 -0.265709 -0.12792 0.774417 0.044457 -0.00254 0.000179 -0.002352 -0.007856
0.231453 0.460539 -0.311674 -0.106031 -0.035349 0.018013 -0.001092 7.25E-05 0.001702 -0.0065120.231453 0.460539 0.688326 -0.106031 -0.035349 0.018013 -0.001092 7.25E-05 0.001702 -0.0065120.022814 0.046383 -0.008329 0.011203 0.072162 0.453062 0.001246 0.001824 0.001468 0.000688
-0.022814 -0.046383 0.008329 -0.011203 -0.072162 0.546938 -0.001246 -0.001824 -0.001468 -0.0006880.459543 0.913316 0.422617 0.766049 0.739068 0.06247 -0.003633 0.000251 -0.00065 -0.014368
605.673 1450.672 6472.39 5974.52 681.383 1843.960 504.728 19925.41 19187.43 133.1210.0440 0.0135 0.0080 0.0108 0.0396 0.0179 0.0323 0.0064 0.0062 0.0899
-1.865 -0.500 -0.853717 0 0 0 0 0 0 0 =0 0 0 1.367016 0 0 0 1.7369 -1.55267 0 =0 0 0.854 -1.367 -1.720 1.075354 0.8769 0 0 0 =
1.8646 0.5002 0 0 0 -1.075 -0.8769 0 0 -1.5364 =
4 5 6 7 8 9 10 11 12 13-1 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 -1 0 0
0 0 1 1 0 0 0 0 0 01 -1 0 0 0 -1 0 0 0 00 1 -1 0 0 1 0 0 0 0
*0 0 0 0 0 -1 1 0 0 00 0 0 0 -1 0 -1 0 0 10 0 0 -1 1 -1 0 0 0 00 0 0 0 0 0 0 1 1 0
-42.34 -37.04 -106.2 0 0 0 0 0 0 00 0 0 126.33 0 0 0 270.2728 -251.5062 00 0 106.22 -126.3 -43.47 59.96249 27.120 0 0 0
42.34 37.04 0 0 0 -59.96249 -27.120 0 0 -17.0924
0.788507 0.602208 -0.056618 -0.032451 -0.076247 -0.352103 -0.006928 -0.0014 -0.001007 -0.0018990.117862 0.222338 0.001518 0.034762 0.17646 0.391249 0.004854 0.001556 0.00326 0.0020340.117862 0.222338 0.001518 0.034762 0.17646 0.391249 0.004854 0.001556 0.00326 0.0020340.094562 0.178193 0.009998 0.023014 0.102412 -0.067454 0.003604 -0.000268 0.001826 0.0013460.906369 0.824546 -0.0551 0.002311 0.100213 0.039147 -0.002074 0.000156 0.002252 0.000135
-0.318063 0.407861 0.256949 0.106543 0.136421 0.024279 -0.001166 9.65E-05 0.000687 0.006233-0.093631 -0.175454 -0.0551 0.002311 0.100213 0.039147 -0.002074 0.000156 0.002252 0.000135
*-0.000931 -0.002739 0.045102 -0.025325 -0.202625 0.028307 -0.00153 0.000113 -0.004079 -0.0014820.223502 0.413946 -0.266948 -0.129557 0.761167 0.043175 -0.002439 0.000172 -0.002514 -0.007580.224432 0.416685 -0.312049 -0.104232 -0.036208 0.014868 -0.000908 5.91E-05 0.001565 -0.0060980.224432 0.416685 0.687951 -0.104232 -0.036208 0.014868 -0.000908 5.91E-05 0.001565 -0.006098
0.0233 0.044145 -0.00848 0.011747 0.074048 0.458703 0.00125 0.001824 0.001433 0.000687-0.0233 -0.044145 0.00848 -0.011747 -0.074048 0.541297 -0.00125 -0.001824 -0.001433 -0.000687
0.447934 0.830631 0.421003 0.766211 0.724959 0.058043 -0.003347 0.000231 -0.000949 -0.013678
605.673 1450.672 6472.39 5974.52 681.383 1843.960 504.728 19925.41 19187.43 133.1210.0437 0.0146 0.0077 0.0112 0.0385 0.0165 0.0309 0.0065 0.0061 0.0874
-1.840 -0.581 -0.792427 0 0 0 0 0 0 0 =0 0 0 1.464421 0 0 0 1.7594 -1.531881 0 =0 0 0.792 -1.464 -1.637 0.92007 0.8055 0 0 0 =
1.8399 0.5806 0 0 0 -0.920 -0.8055 0 0 -1.4586 =
4 5 6 7 8 9 10 11 12 13-1 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 -1 0 00 0 1 1 0 0 0 0 0 01 -1 0 0 0 -1 0 0 0 00 1 -1 0 0 1 0 0 0 0
*0 0 0 0 0 -1 1 0 0 00 0 0 0 -1 0 -1 0 0 10 0 0 -1 1 -1 0 0 0 00 0 0 0 0 0 0 1 1 0
-42.08 -39.67 -102.6 0 0 0 0 0 0 00 0 0 130.39 0 0 0 271.8761 -249.9514 00 0 102.64 -130.4 -42.50 55.81111 26.081 0 0 0
42.08 39.67 0 0 0 -55.81111 -26.081 0 0 -16.6887
0.793027 0.596466 -0.061726 -0.034034 -0.075577 -0.34881 -0.006994 -0.001396 -0.000978 -0.0020390.116052 0.226924 0.003918 0.03457 0.172547 0.388651 0.004866 0.001555 0.003247 0.0020710.116052 0.226924 0.003918 0.03457 0.172547 0.388651 0.004866 0.001555 0.003247 0.0020710.093015 0.181681 0.012308 0.023082 0.099413 -0.067226 0.003618 -0.000269 0.001796 0.0013830.909079 0.82339 -0.057808 0.000536 0.09697 0.039841 -0.002128 0.000159 0.002269 3.21E-05
-0.318622 0.385493 0.253933 0.105584 0.132728 0.023461 -0.001132 9.39E-05 0.000639 0.006327-0.090921 -0.17661 -0.057808 0.000536 0.09697 0.039841 -0.002128 0.000159 0.002269 3.21E-05
*-0.002094 -0.005071 0.0455 -0.023618 -0.196383 0.027385 -0.00149 0.00011 -0.004065 -0.0014150.225607 0.432827 -0.266241 -0.128666 0.767859 0.043765 -0.002486 0.000175 -0.002435 -0.007710.227701 0.437897 -0.311741 -0.105048 -0.035758 0.01638 -0.000996 6.55E-05 0.00163 -0.0062950.227701 0.437897 0.688259 -0.105048 -0.035758 0.01638 -0.000996 6.55E-05 0.00163 -0.0062950.023037 0.045243 -0.00839 0.011488 0.073134 0.455877 0.001248 0.001824 0.001451 0.000688
-0.023037 -0.045243 0.00839 -0.011488 -0.073134 0.544123 -0.001248 -0.001824 -0.001451 -0.0006880.453308 0.870724 0.422017 0.766287 0.732101 0.060145 -0.003483 0.000241 -0.000804 -0.014004
605.673 1450.672 6472.39 5974.52 681.383 1843.960 504.728 19925.41 19187.43 133.1210.0441 0.0123 0.0081 0.0104 0.0404 0.0192 0.0336 0.0063 0.0063 0.0920
-1.873 -0.423 -0.874259 0 0 0 0 0 0 0 =0 0 0 1.272918 0 0 0 1.6953 -1.591839 0 =0 0 0.874 -1.273 -1.789 1.220102 0.9415 0 0 0 =
1.8728 0.4234 0 0 0 -1.220 -0.9415 0 0 -1.6043 =
4 5 6 7 8 9 10 11 12 13-1 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 -1 0 00 0 1 1 0 0 0 0 0 01 -1 0 0 0 -1 0 0 0 00 1 -1 0 0 1 0 0 0 0
*0 0 0 0 0 -1 1 0 0 00 0 0 0 -1 0 -1 0 0 10 0 0 -1 1 -1 0 0 0 00 0 0 0 0 0 0 1 1 0
-42.43 -34.31 -107.4 0 0 0 0 0 0 00 0 0 122.25 0 0 0 267.274 -254.4055 00 0 107.39 -122.3 -44.27 63.5493 28.021 0 0 0
42.43 34.31 0 0 0 -63.5493 -28.021 0 0 -17.436
0.784931 0.609934 -0.052187 -0.030481 -0.073583 -0.357127 -0.006849 -0.001404 -0.000974 -0.0017480.118891 0.216256 -0.00079 0.034615 0.178449 0.396015 0.004823 0.001557 0.003249 0.0019850.118891 0.216256 -0.00079 0.034615 0.178449 0.396015 0.004823 0.001557 0.003249 0.0019850.095253 0.173082 0.00783 0.022661 0.103635 -0.067865 0.003568 -0.000267 0.001829 0.00130.903821 0.826189 -0.052976 0.004135 0.104865 0.038887 -0.002026 0.000153 0.002275 0.000237
-0.317808 0.428991 0.260234 0.107862 0.141003 0.025156 -0.001194 9.89E-05 0.000749 0.006186-0.096179 -0.173811 -0.052976 0.004135 0.104865 0.038887 -0.002026 0.000153 0.002275 0.000237
*
0.000925 0.000729 0.045147 -0.026796 -0.208501 0.028978 -0.001543 0.000114 -0.004104 -0.001537 *0.222554 0.397927 -0.268063 -0.130523 0.755362 0.042709 -0.002375 0.000168 -0.002578 -0.0074860.221629 0.397198 -0.31321 -0.103727 -0.036137 0.013731 -0.000832 5.4E-05 0.001527 -0.0059490.221629 0.397198 0.68679 -0.103727 -0.036137 0.013731 -0.000832 5.4E-05 0.001527 -0.0059490.023637 0.043173 -0.008619 0.011954 0.074813 0.46388 0.001255 0.001823 0.00142 0.000686
-0.023637 -0.043173 0.008619 -0.011954 -0.074813 0.53612 -0.001255 -0.001823 -0.00142 -0.0006860.444183 0.795125 0.418726 0.76575 0.719225 0.056441 -0.003207 0.000222 -0.001051 -0.013435
4 5 6 7 8 9 10 11 12 13
605.673 1450.672 6472.39 5974.52 681.383 1843.960 504.728 19925.41 19187.43 133.1210.0441 0.0122 0.0081 0.0104 0.0405 0.0193 0.0337 0.0063 0.0063 0.0922
-1.873 -0.415 -0.873629 0 0 0 0 0 0 0 =0 0 0 1.2627 0 0 0 1.6887 -1.598162 0 =0 0 0.87363 -1.2627 -1.7956 1.2348 0.9480 0 0 0 =
1.8725 0.4154 0 0 0 -1.2348 -0.9480 0 0 -1.6108 =
H piezométricas Cotas TuberíaPresión
Adelante Atrás Adelante2978.391 2978.4 2943.0 35.392977.499 2943.0 2948.2 29.302976.582 2948.2 2952.8 23.782975.232 2952.8 2957.9 17.332976.519 2943.0 2944.3 32.222976.104 2944.3 2945.2 30.902975.230 2945.2 2957.9 17.332978.389 2980.0 2933.0 45.392977.441 2933.0 2938.1 39.342976.206 2938.1 2945.2 31.012976.594 2933.0 2927.9 48.692975.331 2927.9 2957.9 17.432974.995 2927.9 2939.8 35.202974.893 2957.9 2939.8 35.09
qn
qAqBqCqDqEqFqGqHqJqKq1000
-Dif▼T
qnqA 0.0216qB 0.0144qC 0.0234qD 0.0288qE 0.0126qF
=
0.0234qG 0.0144qH 0.0180qJ 0.0108qK 0.01260 0.00000 0.00000 0.0000
-Dif▼T -1.5000
0.0216 0.01290.0144 0.05490.0234 0.04050.0288 0.01120.0126 0.04620.0234 0.00390.0144
=0.0102
0.0180 0.00740.0108 0.04790.0126 0.02970.0000 0.04410.0000 0.00600.0000 0.0066
-1.5000 0.1100
-0.011-1.1612.510
-4.422
qnqA 0.0216qB 0.0144qC 0.0234qD 0.0288qE 0.0126qF
=
0.0234qG 0.0144qH 0.0180qJ 0.0108qK 0.0126q10 0.00000 0.00000 0.0000
-Dif▼T -1.5000
0.0216 0.0111 0.01200.0144 0.0536 0.05430.0234 0.0392 0.03990.0288 0.0091 0.01010.0126 0.0431 0.04470.0234 0.0185 0.01120.0144
=0.0071 0.0087
0.0180 0.0126 0.01000.0108 0.0354 0.04160.0126 0.0120 0.0208
0.0000 0.0264 0.03520.0000 0.0067 0.00630.0000 0.0059 0.0063
-1.5000 0.0798 0.0949
-0.146-0.0310.357
-1.864
qnqA 0.0216qB 0.0144qC 0.0234qD 0.0288qE 0.0126qF
=
0.0234qG 0.0144qH 0.0180qJ 0.0108qK 0.0126q10 0.00000 0.00000 0.0000
-Dif▼T -1.5000
0.0216 0.0108 0.01090.0144 0.0546 0.05410.0234 0.0402 0.03970.0288 0.0104 0.00980.0126 0.0437 0.04340.0234 0.0130 0.01580.0144
=0.0077 0.0074
0.0180 0.0107 0.01160.0108 0.0396 0.03750.0126 0.0181 0.01500.0000 0.0325 0.02940.0000 0.0063 0.00650.0000 0.0063 0.0061
-1.5000 0.0901 0.0849
-0.209
0.613-0.875-0.406
qnqA 0.0216qB 0.0144qC 0.0234qD 0.0288qE 0.0126qF
=
0.0234qG 0.0144qH 0.0180qJ 0.0108qK 0.0126q10 0.00000 0.00000 0.0000
-Dif▼T -1.5000
0.0216 0.0119 0.01150.0144 0.0547 0.05420.0234 0.0403 0.03980.0288 0.0107 0.00990.0126 0.0449 0.04400.0234 0.0090 0.01350.0144
=0.0089 0.0080
0.0180 0.0092 0.01080.0108 0.0434 0.03960.0126 0.0234 0.01790.0000 0.0378 0.03230.0000 0.0062 0.00640.0000 0.0064 0.0062
-1.5000 0.0992 0.0899
-0.1620.285
-0.281-1.115
qnqA 0.0216qB 0.0144qC 0.0234
qD 0.0288qE 0.0126qF
=
0.0234qG 0.0144qH 0.0180qJ 0.0108qK 0.0126q10 0.00000 0.00000 0.0000
-Dif▼T -1.5000
0.0216 0.0112 0.01120.0144 0.0546 0.05410.0234 0.0402 0.03970.0288 0.0106 0.00980.0126 0.0442 0.04370.0234 0.0111 0.01460.0144
=0.0082 0.0077
0.0180 0.0100 0.01120.0108 0.0413 0.03850.0126 0.0206 0.01650.0000 0.0350 0.03090.0000 0.0062 0.00650.0000 0.0064 0.0061
-1.5000 0.0943 0.0874
-0.1820.448
-0.583-0.755
qnqA 0.0216qB 0.0144qC 0.0234qD 0.0288qE 0.0126qF
=
0.0234qG 0.0144qH 0.0180qJ 0.0108qK 0.0126q10 0.00000 0.00000 0.0000
-Dif▼T -1.5000
0.0216 0.0115 0.01140.0144 0.0547 0.05440.0234 0.0403 0.04000.0288 0.0106 0.01020.0126 0.0446 0.04410.0234 0.0100 0.01230.0144
=0.0086 0.0081
0.0180 0.0096 0.01040.0108 0.0423 0.04040.0126 0.0219 0.01920.0000 0.0363 0.03360.0000 0.0062 0.00630.0000 0.0064 0.0063
-1.5000 0.0966 0.0920
-0.0250.038
-0.026-1.461
qnqA 0.0216qB 0.0144qC 0.0234qD 0.0288qE 0.0126qF
=
0.0234qG 0.0144qH 0.0180qJ 0.0108qK 0.0126q10 0.00000 0.00000 0.0000
-Dif▼T -1.5000
0.0216 0.0113 0.01130.0144 0.0545 0.05440.0234 0.0401 0.04000.0288 0.0103 0.01030.0126 0.0441 0.04410.0234 0.0121 0.01220.0144
=0.0081 0.0081
0.0180 = 0.0103 0.01040.0108 0.0406 0.04050.0126 0.0194 0.01930.0000 0.0338 0.03370.0000 0.0063 0.00630.0000 0.0063 0.0063
-1.5000 0.0924 0.0922
-0.0020.003
-0.002-1.497