Transitorios Método de La Características

TRANSITORIOS EN SISTEMAS HIDRAULICOS A PRESI
Considerese la conduccin de la Figura, que incluye los datos fsicos de sus diferentes
Datos Fisicos
Seccin 1
Seccin 2
f=
0.02
0.02
a (m/s) =
1000
1000
D (m) =
0.05
0.05
L (m) =
500
500
Longitud Total de la Tubera (m) =
Tiempo que dura en recorrer la perturbacin en cada una de las secciones
ti (seg) =
0.5
0.5
Una perturbacin provocada, por ejemplo, en el extremo aguas abajo se hace sentir e
Tiempo total que recorre la onda de presin en toda la Longitud de la Tubera =
El tiempo invertido por la onda en conducir la tubera real, debe coincidir con el que s
en un conducto equivalente, para lo cual obtenemos a e
ae (m/s) =
1000
De manera similar obtenemos el dimetro equivalente

Seccin 1
Seccin 2
Li/D2i =
200000
Li/D2i =
800000
(m ) =
0.0025
De (m) =
0.05
2
e
200000
y por ultimo obtenemos el factor de friccin equivalente

Seccin 1
fiLi/D
32000000
(fiLi/D i) =
128000000
fe =
0.0200
DATOS DE LA CONDUCCIN
Seccin 2
32000000
Longitud (m)
2000
Dimetro e (m)
Celeridad ae (m/s)
0.050
1000.0
CONDICIONES DE CONTORNO
Cota Dep. 1
(m)
264.7
Coef. Inicial Kv0
Cota Dep. 2
(m)
0
DATOS DEL USUARIO

Num. Tramos
Incr. Tiempo
N
Tiempo simulac.
Tsim (seg)
t (seg)
4
1.1
0.5
Condiciones Iniciales (Clculos Iniciales)

N=
4
Dx =
500
a=
132.4
Dt =
0.5
Salto
Area
g
Ca
R
DHDx
Q0
=
=
=
=
=
=
=
2
0.002
9.81
0.0001455375
101.8591635788
2644059.43042186
0.0050027794 Caudal de Partida
ALTURAS PIEZOMETRICAS Y CAUDALES

Tiempo
Nudo 1
0.0
H=
264.700
Q=
0.005
0.5
H=
264.700
Q=
0.013
1.0
H=
264.700
Q=
0.014
1.5
H=
264.700
Q=
0.014
2.0
H=
264.700
Q=
0.014
2.5
H=
264.700
Q=
0.014
3.0
H=
264.700
Q=
0.014
3.5
H=
264.700
Q=
0.014
4.0
H=
264.700
Q=
0.014
33
4.5
5.0
5.5
6.0
6.5
7.0
7.5
8.0
8.5
9.0
9.5
10.0
10.5
11.0
11.5
12.0
12.5
13.0
13.5
14.0
14.5
15.0
15.5
16.0
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
264.700
0.014
264.700
0.014
264.700
0.013
264.700
0.013
264.700
0.013
264.700
0.013
264.700
0.012
264.700
0.013
264.700
0.012
264.700
0.012
264.700
0.011
264.700
0.012
264.700
0.010
264.700
0.011
264.700
0.009
264.700
0.010
264.700
0.008
264.700
0.009
264.700
0.008
264.700
0.008
264.700
0.007
264.700
0.007
264.700
0.006
264.700
0.007
16.5
17.0
17.5
18.0
18.5
19.0
19.5
20.0
20.5
21.0
21.5
22.0
22.5
23.0
23.5
24.0
24.5
25.0
25.5
26.0
26.5
27.0
27.5
28.0
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
264.700
0.005
264.700
0.006
264.700
0.004
264.700
0.005
264.700
0.003
264.700
0.004
264.700
0.003
264.700
0.003
264.700
0.002
264.700
0.003
264.700
0.001
264.700
0.002
264.700
0.000
264.700
0.001
264.700
0.000
264.700
0.000
264.700
-0.001
264.700
0.000
264.700
-0.001
264.700
-0.001
264.700
-0.002
264.700
-0.001
264.700
-0.001
264.700
-0.002
28.5
29.0
29.5
30.0
30.5
31.0
31.5
32.0
32.5
33.0
33.5
34.0
34.5
35.0
35.5
36.0
36.5
37.0
37.5
38.0
38.5
39.0
39.5
40.0
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
264.700
-0.001
264.700
-0.001
264.700
-0.001
264.700
-0.001
264.700
0.000
264.700
-0.001
264.700
0.000
264.700
0.000
264.700
0.001
264.700
0.000
264.700
0.001
264.700
0.001
264.700
0.001
264.700
0.001
264.700
0.001
264.700
0.001
264.700
0.001
264.700
0.001
264.700
0.001
264.700
0.001
264.700
0.000
264.700
0.001
264.700
0.000
264.700
0.000
40.5
41.0
41.5
42.0
42.5
43.0
43.5
44.0
44.5
45.0
45.5
46.0
46.5
47.0
47.5
48.0
48.5
49.0
49.5
50.0
50.5
51.0
51.5
52.0
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
H
Q
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
264.700
0.000
264.700
0.000
264.700
-0.001
264.700
0.000
264.700
-0.001
264.700
-0.001
264.700
-0.001
264.700
-0.001
264.700
-0.001
264.700
-0.001
264.700
0.000
264.700
-0.001
264.700
0.000
264.700
0.000
264.700
0.000
264.700
0.000
264.700
0.000
264.700
0.000
264.700
0.001
264.700
0.000
264.700
0.001
264.700
0.001
264.700
0.001
264.700
0.001
52.5
53.0
53.5
H
Q
H
Q
H
Q
=
=
=
=
=
=
264.700
0.001
264.700
0.001
264.700
0.000
IDRAULICOS A PRESIN
e los datos fsicos de sus diferentes secciones

Seccin 3
Seccin 4
0.02
0.02
1000
1000
0.05
0.05
500
500
a (m) =
2000
da una de las secciones

0.5
0.5
tremo aguas abajo se hace sentir en el extremo al cabo de

a la Longitud de la Tubera =
2.00 seg
ra real, debe coincidir con el que se invierte
ae
Seccin 3
200000
Seccin 4
De2
200000
fe
Seccin 3
32000000
Seccin 4
32000000
L
Lj
L
Li
D2
i
De5
f i Li
Di5
Friccin fe
0.0200
Tiempo Cierre
(seg)
2
Exponente
2
NUDO 1
NUDO
3
NUDO 2
Nudo 2
198.525
0.005
198.525
0.013
198.525
0.014
198.525
0.014
198.525
0.014
198.525
0.014
198.525
0.014
198.525
0.014
199.651
0.014
Nudo 3
132.350
0.005
132.350
0.013
132.350
0.014
132.350
0.014
132.350
0.014
132.350
0.014
132.350
0.014
135.946
0.013
136.213
0.013
Nudo 4
66.175
0.005
66.175
0.013
66.175
0.014
66.175
0.014
66.175
0.014
66.175
0.014
76.790
0.012
77.482
0.012
100.797
0.009
Nudo 5
0.000
0.005
0.000
0.013
0.000
0.014
0.000
0.014
0.000
0.014
26.619
0.010
28.034
0.010
65.343
0.006
35.946
0.011
NUDO 5
NUDO
4
Nudo 6
-66.175
0.005
-66.175
0.013
-66.175
0.014
-66.175
0.014
-12.608
0.006
-10.730
0.006
39.675
0.003
-3.788
0.010
40.524
0.008
199.738
0.014
204.303
0.013
201.525
0.013
208.380
0.013
204.172
0.013
212.979
0.012
207.998
0.013
218.340
0.011
212.832
0.012
224.077
0.011
218.330
0.011
229.820
0.010
224.125
0.011
235.332
0.009
229.900
0.010
240.477
0.008
235.425
0.009
245.182
0.008
240.567
0.008
249.423
0.007
245.264
0.008
253.201
0.006
249.495
0.007
256.528
0.005
147.762
0.012
140.266
0.013
154.962
0.012
146.071
0.012
163.712
0.011
154.070
0.012
173.851
0.010
163.538
0.011
184.480
0.010
173.873
0.010
195.083
0.009
184.578
0.010
205.339
0.008
195.231
0.009
215.038
0.008
205.512
0.008
224.038
0.007
215.209
0.008
232.268
0.007
224.196
0.007
239.702
0.006
232.410
0.007
246.335
0.005
239.829
0.006
84.222
0.012
108.948
0.010
94.414
0.011
121.591
0.010
107.553
0.010
136.071
0.009
121.704
0.009
150.628
0.008
136.245
0.009
164.867
0.008
150.808
0.008
178.609
0.007
165.084
0.008
191.702
0.007
178.848
0.007
204.001
0.006
191.933
0.007
215.413
0.006
204.217
0.006
225.879
0.005
215.611
0.006
235.362
0.005
226.059
0.005
243.831
0.004
71.288
0.009
51.715
0.009
88.074
0.008
70.466
0.008
106.398
0.007
88.857
0.008
123.944
0.007
106.795
0.007
140.744
0.006
124.227
0.007
156.843
0.006
141.032
0.006
172.211
0.006
157.138
0.006
186.756
0.005
172.487
0.006
200.402
0.005
187.012
0.005
213.085
0.004
200.640
0.005
224.740
0.004
213.305
0.004
235.307
0.004
224.941
0.004
18.653
0.007
62.606
0.006
42.597
0.006
84.099
0.005
64.263
0.006
103.755
0.005
84.694
0.005
122.284
0.005
104.140
0.005
139.919
0.004
122.641
0.005
156.736
0.004
140.261
0.004
172.708
0.004
157.044
0.004
187.801
0.004
172.990
0.004
201.965
0.003
188.065
0.004
215.131
0.003
202.212
0.003
227.219
0.003
215.359
0.003
238.144
0.003
253.265
0.006
259.410
0.005
256.584
0.005
261.849
0.004
259.458
0.005
263.842
0.003
261.889
0.004
265.383
0.002
263.874
0.003
266.465
0.001
265.406
0.002
267.085
0.001
266.480
0.001
267.247
0.000
267.092
0.001
266.972
-0.001
267.245
0.000
266.413
-0.001
266.964
-0.001
265.759
-0.001
266.401
-0.001
265.090
-0.001
265.747
-0.001
264.388
-0.001
252.166
0.005
246.447
0.005
257.189
0.004
252.264
0.004
261.390
0.003
257.272
0.004
264.751
0.002
261.458
0.003
267.254
0.002
264.804
0.002
268.884
0.001
267.291
0.002
269.634
0.000
268.905
0.001
269.513
0.000
269.640
0.000
268.654
-0.001
269.503
0.000
267.422
-0.001
268.634
-0.001
266.095
-0.001
267.398
-0.001
264.726
-0.001
266.070
-0.001
235.524
0.005
251.256
0.004
243.975
0.004
257.602
0.003
251.381
0.004
262.831
0.002
257.707
0.003
266.904
0.002
262.915
0.002
269.788
0.001
266.967
0.002
271.456
0.001
269.829
0.001
271.900
0.000
271.475
0.001
271.161
-0.001
271.897
0.000
269.585
-0.001
271.139
-0.001
267.657
-0.001
269.552
-0.001
265.629
-0.001
267.621
-0.001
263.592
-0.001
244.724
0.003
235.488
0.004
252.930
0.003
244.884
0.003
259.862
0.002
253.067
0.003
265.460
0.002
259.976
0.002
269.667
0.001
265.549
0.002
272.434
0.001
269.730
0.001
273.727
0.000
272.470
0.001
273.535
0.000
273.737
0.000
272.019
-0.001
273.518
0.000
269.696
-0.001
271.982
-0.001
267.052
-0.001
269.650
-0.001
264.369
-0.001
267.003
-0.001
227.426
0.003
247.822
0.002
238.330
0.003
256.170
0.002
247.985
0.002
263.108
0.001
256.308
0.002
268.559
0.001
263.220
0.001
272.454
0.001
268.643
0.001
274.735
0.000
272.509
0.001
275.361
0.000
274.761
0.000
274.349
0.000
275.357
0.000
272.018
-0.001
274.317
0.000
268.937
-0.001
271.967
-0.001
265.640
-0.001
268.878
-0.001
262.576
-0.001
265.078
-0.001
263.694
-0.001
264.375
-0.001
263.180
0.000
263.682
-0.001
263.027
0.000
263.173
0.000
263.246
0.000
263.028
0.000
263.648
0.001
263.252
0.000
264.061
0.001
263.656
0.001
264.455
0.001
264.068
0.001
264.892
0.001
264.463
0.001
265.393
0.001
264.900
0.001
265.824
0.000
265.402
0.001
265.969
0.000
265.830
0.000
265.785
0.000
263.341
-0.001
264.701
-0.001
262.154
-0.001
263.317
-0.001
261.505
0.000
262.137
-0.001
261.575
0.000
261.499
0.000
262.207
0.001
261.583
0.000
263.029
0.001
262.221
0.001
263.837
0.001
263.044
0.001
264.669
0.001
263.851
0.001
265.606
0.001
264.685
0.001
266.529
0.001
265.624
0.001
267.094
0.000
266.544
0.000
267.052
0.000
267.099
0.000
265.592
-0.001
261.749
-0.001
263.556
-0.001
260.464
0.000
261.720
-0.001
260.053
0.000
260.449
0.000
260.550
0.000
260.054
0.000
261.619
0.001
260.565
0.000
262.843
0.001
261.640
0.001
264.092
0.001
262.865
0.001
265.424
0.001
264.115
0.001
266.772
0.001
265.449
0.001
267.809
0.000
266.795
0.001
268.178
0.000
267.823
0.000
267.797
0.000
261.912
-0.001
264.321
-0.001
260.021
0.000
261.872
-0.001
259.009
0.000
259.994
0.000
259.032
0.000
259.000
0.000
259.989
0.000
259.042
0.000
261.481
0.001
260.013
0.000
263.153
0.001
261.510
0.001
264.903
0.001
263.185
0.001
266.636
0.001
264.935
0.001
268.075
0.000
266.666
0.001
268.896
0.000
268.096
0.000
268.920
0.000
268.904
0.000
265.582
-0.001
260.124
0.000
262.525
-0.001
258.549
0.000
260.088
0.000
257.987
0.000
258.529
0.000
258.485
0.000
257.987
0.000
259.894
0.000
258.504
0.000
261.854
0.001
259.926
0.000
264.032
0.001
261.892
0.001
266.172
0.000
264.072
0.001
267.973
0.000
266.209
0.000
269.172
0.000
268.000
0.000
269.639
0.000
269.187
0.000
269.321
0.000
265.968
0.000
265.459
-0.001
265.779
0.000
265.151
-0.001
265.453
-0.001
264.875
-0.001
265.146
-0.001
264.565
-0.001
264.870
-0.001
264.177
-0.001
264.559
-0.001
263.807
0.000
264.169
-0.001
263.671
0.000
263.802
0.000
263.830
0.000
263.671
0.000
264.106
0.000
263.835
0.000
264.354
0.001
264.111
0.000
264.566
0.001
264.358
0.001
264.802
0.001
266.537
0.000
267.046
0.000
265.900
-0.001
266.525
0.000
265.316
-0.001
265.889
-0.001
264.728
-0.001
265.305
-0.001
264.029
-0.001
264.717
-0.001
263.275
0.000
264.015
-0.001
262.776
0.000
263.262
0.000
262.802
0.000
262.772
0.000
263.241
0.000
262.807
0.000
263.767
0.000
263.251
0.000
264.226
0.001
263.776
0.000
264.675
0.001
264.234
0.001
268.177
0.000
266.960
0.000
267.784
0.000
266.044
-0.001
266.943
0.000
265.147
-0.001
266.028
-0.001
264.169
-0.001
265.131
-0.001
263.108
0.000
264.150
-0.001
262.237
0.000
263.089
0.000
261.907
0.000
262.226
0.000
262.218
0.000
261.907
0.000
262.913
0.000
262.228
0.000
263.652
0.000
262.927
0.000
264.349
0.001
263.665
0.000
265.116
0.000
268.205
0.000
268.913
0.000
267.078
0.000
268.187
0.000
265.846
-0.001
267.056
0.000
264.556
-0.001
265.823
-0.001
263.219
0.000
264.532
-0.001
262.055
0.000
263.196
0.000
261.366
0.000
262.037
0.000
261.325
0.000
261.359
0.000
261.900
0.000
261.330
0.000
262.815
0.000
261.914
0.000
263.793
0.000
262.832
0.000
264.810
0.000
263.811
0.000
269.640
0.000
268.300
0.000
269.309
0.000
266.846
0.000
268.276
0.000
265.217
0.000
266.818
0.000
263.573
0.000
265.187
0.000
262.145
0.000
263.544
0.000
261.177
0.000
262.123
0.000
260.783
0.000
261.164
0.000
261.011
0.000
260.782
0.000
261.815
0.000
261.020
0.000
262.977
0.000
261.834
0.000
264.279
0.000
263.000
0.000
265.613
0.000
264.569
0.001
265.118
0.000
264.807
0.001
265.228
0.000
264.684
0.001
265.865
0.000
264.362
0.001
265.990
0.000
265.131
0.000
265.897
0.000
264.830
0.000
266.876
0.000
264.303
0.000
266.798
0.000
265.637
0.000
NUDO 7
NUDO 5
Tiempo de Simulacin
NUDO 9
Numero de Nudo
H 2(i )
NUDO
6
Nudo 7
-132.350
0.005
-132.350
0.013
-132.350
0.014
-46.222
0.001
-43.841
0.001
17.494
0.000
-36.956
0.008
15.247
0.006
-5.830
0.005
NUDO
8
Nudo 8
-198.525
0.005
-198.525
0.013
-75.854
-0.004
-73.720
-0.004
-5.854
-0.005
-67.715
0.004
-7.372
0.003
-24.556
0.003
28.043
0.002
Nudo 9
-264.700
0.005
0.002
-0.025
0.008
-0.025
0.043
-0.014
-97.454
0.000
-30.728
0.000
-44.531
0.000
11.940
0.000
-7.539
0.000
Cn1
Cp2
Cn2
-0.025
0.042
-0.016
-0.025
0.043
-0.015
-0.025
0.043
-0.015
-0.025
0.043
-0.015
-0.025
0.043
-0.015
-0.025
0.043
-0.015
-0.025
0.043
-0.015
-0.025
0.043
-0.015
43.404
0.004
22.113
0.004
67.474
0.004
46.003
0.004
88.491
0.003
68.152
0.003
108.152
0.003
88.959
0.003
126.786
0.003
108.575
0.003
144.521
0.003
127.167
0.003
161.381
0.003
144.851
0.003
177.379
0.002
161.680
0.003
192.490
0.002
177.659
0.002
206.653
0.002
192.753
0.002
219.784
0.002
206.899
0.002
231.788
0.002
220.011
0.002
6.452
0.002
54.350
0.002
31.706
0.002
76.347
0.002
55.049
0.002
96.732
0.002
76.827
0.002
116.052
0.001
97.221
0.001
134.413
0.001
116.476
0.001
151.859
0.001
134.762
0.001
168.444
0.001
152.169
0.001
184.173
0.001
168.735
0.001
199.001
0.001
184.448
0.001
212.850
0.001
199.260
0.001
225.623
0.001
213.091
0.001
237.215
0.001
42.224
0.000
18.993
0.000
65.386
0.000
43.221
0.000
86.417
0.000
65.840
0.000
106.259
0.000
86.919
0.000
125.135
0.000
106.736
0.000
143.053
0.000
125.513
0.000
160.089
0.000
143.377
0.000
176.280
0.000
160.389
0.000
191.604
0.000
176.564
0.000
205.993
0.000
191.871
0.000
219.358
0.000
206.244
0.000
231.596
0.000
219.590
0.000
-0.025
0.043
-0.015
-0.025
0.043
-0.017
-0.025
0.043
-0.016
-0.025
0.043
-0.018
-0.026
0.043
-0.017
-0.025
0.043
-0.019
-0.026
0.043
-0.018
-0.026
0.043
-0.020
-0.027
0.043
-0.019
-0.026
0.043
-0.022
-0.028
0.043
-0.020
-0.027
0.043
-0.024
-0.029
0.043
-0.022
-0.028
0.043
-0.025
-0.029
0.043
-0.024
-0.029
0.043
-0.027
-0.030
0.043
-0.025
-0.029
0.043
-0.028
-0.031
0.043
-0.027
-0.030
0.043
-0.029
-0.032
0.043
-0.028
-0.031
0.043
-0.031
-0.033
0.043
-0.029
-0.032
0.043
-0.032
242.566
0.002
231.994
0.002
252.021
0.001
242.749
0.002
260.059
0.001
252.179
0.001
266.592
0.001
260.191
0.001
271.537
0.001
266.696
0.001
274.818
0.000
271.612
0.001
276.373
0.000
274.862
0.000
276.163
0.000
276.385
0.000
274.278
0.000
276.143
0.000
271.128
-0.001
274.230
0.000
267.375
-0.001
271.063
-0.001
263.724
-0.001
267.307
-0.001
225.843
0.001
247.524
0.001
237.413
0.001
256.448
0.001
247.698
0.001
263.892
0.000
256.596
0.001
269.767
0.000
264.013
0.000
273.986
0.000
269.858
0.000
276.476
0.000
274.047
0.000
277.175
0.000
276.504
0.000
276.064
0.000
277.171
0.000
273.306
0.000
276.028
0.000
269.450
0.000
273.244
0.000
265.351
0.000
269.375
0.000
261.792
0.000
242.601
0.000
231.806
0.000
252.268
0.000
242.787
0.000
260.499
0.000
252.429
0.000
267.201
0.000
260.634
0.000
272.284
0.000
267.307
0.000
275.667
0.000
272.361
0.000
277.279
0.000
275.712
0.000
277.071
0.000
277.292
0.000
275.064
0.000
277.050
0.000
271.572
0.000
275.013
0.000
267.361
0.000
271.499
0.000
263.371
0.000
267.285
0.000
-0.033
0.043
-0.031
-0.033
0.042
-0.033
-0.034
0.043
-0.032
-0.033
0.042
-0.034
-0.035
0.042
-0.033
-0.034
0.041
-0.035
-0.036
0.042
-0.034
-0.035
0.041
-0.036
-0.037
0.041
-0.035
-0.036
0.040
-0.037
-0.037
0.041
-0.036
-0.037
0.040
-0.038
-0.038
0.040
-0.037
-0.037
0.039
-0.039
-0.039
0.040
-0.038
-0.038
0.038
-0.040
-0.040
0.039
-0.039
-0.039
0.038
-0.040
-0.040
0.038
-0.040
-0.040
0.037
-0.040
-0.040
0.037
-0.040
-0.040
0.037
-0.040
-0.040
0.037
-0.040
-0.040
0.037
-0.040
260.715
0.000
263.663
-0.001
258.623
0.000
260.668
0.000
257.524
0.000
258.595
0.000
257.443
0.000
257.513
0.000
258.414
0.000
257.452
0.000
260.319
0.000
258.440
0.000
262.800
0.000
260.360
0.000
265.362
0.000
262.847
0.000
267.547
0.000
265.406
0.000
269.085
0.000
267.581
0.000
269.917
0.000
269.107
0.000
270.039
0.000
269.926
0.000
265.280
0.000
259.181
0.000
261.736
0.000
257.589
0.000
259.143
0.000
256.980
0.000
257.570
0.000
257.378
0.000
256.978
0.000
258.867
0.000
257.396
0.000
261.315
0.000
258.903
0.000
264.183
0.000
261.365
0.000
266.774
0.000
264.234
0.000
268.678
0.000
266.815
0.000
269.835
0.000
268.705
0.000
270.317
0.000
269.850
0.000
270.120
0.000
260.232
0.000
263.306
0.000
258.137
0.000
260.185
0.000
257.044
0.000
258.109
0.000
256.915
0.000
257.033
0.000
257.840
0.000
256.922
0.000
259.886
0.000
257.867
0.000
262.729
0.000
259.932
0.000
265.620
0.000
262.784
0.000
267.918
0.000
265.669
0.000
269.433
0.000
267.953
0.000
270.237
0.000
269.453
0.000
270.398
0.000
270.245
0.000
-0.040
0.037
-0.040
-0.040
0.037
-0.039
-0.039
0.037
-0.040
-0.040
0.038
-0.039
-0.039
0.037
-0.039
-0.039
0.038
-0.038
-0.038
0.038
-0.039
-0.039
0.039
-0.038
-0.038
0.038
-0.038
-0.038
0.039
-0.038
-0.038
0.039
-0.038
-0.038
0.039
-0.037
-0.038
0.039
-0.038
-0.038
0.039
-0.038
-0.038
0.039
-0.037
-0.038
0.039
-0.038
-0.038
0.039
-0.038
-0.038
0.039
-0.038
-0.038
0.039
-0.038
-0.038
0.039
-0.038
-0.038
0.039
-0.038
-0.038
0.039
-0.039
-0.039
0.039
-0.038
-0.038
0.038
-0.039
269.405
0.000
270.034
0.000
268.040
0.000
269.386
0.000
266.179
0.000
268.010
0.000
264.197
0.000
266.143
0.000
262.474
0.000
264.163
0.000
261.257
0.000
262.447
0.000
260.592
0.000
261.240
0.000
260.470
0.000
260.585
0.000
260.933
0.000
260.473
0.000
261.995
0.000
260.947
0.000
263.487
0.000
262.019
0.000
265.106
0.000
263.516
0.000
270.320
0.000
269.131
0.000
270.109
0.000
267.345
0.000
269.105
0.000
265.127
0.000
267.307
0.000
263.076
0.000
265.087
0.000
261.575
0.000
263.043
0.000
260.669
0.000
261.553
0.000
260.279
0.000
260.658
0.000
260.393
0.000
260.276
0.000
261.122
0.000
260.401
0.000
262.523
0.000
261.141
0.000
264.336
0.000
262.554
0.000
266.040
0.000
269.842
0.000
270.395
0.000
268.423
0.000
269.824
0.000
266.274
0.000
268.390
0.000
263.990
0.000
266.232
0.000
262.168
0.000
263.952
0.000
260.984
0.000
262.141
0.000
260.355
0.000
260.968
0.000
260.202
0.000
260.348
0.000
260.584
0.000
260.204
0.000
261.657
0.000
260.597
0.000
263.384
0.000
261.683
0.000
265.281
0.000
263.419
0.000
-0.039
0.039
-0.039
-0.039
0.038
-0.039
-0.039
0.038
-0.039
-0.039
0.038
-0.039
-0.039
0.038
-0.039
-0.039
0.038
-0.039
-0.039
0.038
-0.039
-0.039
0.038
-0.039
-0.039
0.038
-0.039
-0.039
0.038
-0.039
-0.039
0.038
-0.039
-0.039
0.038
-0.039
-0.039
0.038
-0.039
-0.039
0.038
-0.038
-0.038
0.038
-0.039
-0.039
0.039
-0.038
-0.038
0.038
-0.038
-0.038
0.039
-0.038
-0.038
0.039
-0.038
-0.038
0.039
-0.038
-0.038
0.039
-0.038
-0.038
0.039
-0.038
-0.038
0.039
-0.038
-0.038
0.039
-0.038
266.531
0.000
265.134
0.000
267.540
0.000
264.369
0.000
267.280
0.000
266.067
0.000
266.794
0.000
265.313
0.000
267.765
0.000
-0.038
0.039
-0.038
-0.038
0.039
-0.038
-0.038
0.039
-0.038
Numero de Nudo
Cp3
Cn3
Cp4
Cn4
Cp5
Cn5
Cp6
0.033
-0.006
0.023
0.004
0.013
0.013
0.004
0.033
-0.005
0.024
0.004
0.014
0.014
0.004
0.033
-0.006
0.023
0.004
0.014
0.014
0.004
0.033
-0.005
0.023
0.004
0.014
0.014
0.004
0.033
-0.006
0.023
0.004
0.014
0.006
0.004
0.033
-0.006
0.023
0.001
0.014
0.006
0.009
0.033
-0.007
0.023
0.001
0.016
-0.003
0.009
0.033
-0.007
0.024
-0.005
0.016
0.005
0.014
0.033
-0.010
0.024
0.000
0.020
-0.001
0.010
0.033
-0.008
0.026
-0.005
0.017
0.002
0.015
0.034
-0.011
0.025
-0.003
0.021
-0.005
0.012
0.034
-0.009
0.027
-0.008
0.019
-0.002
0.018
0.035
-0.013
0.026
-0.005
0.023
-0.008
0.015
0.034
-0.011
0.029
-0.011
0.021
-0.005
0.020
0.036
-0.015
0.027
-0.008
0.025
-0.011
0.018
0.035
-0.013
0.030
-0.014
0.023
-0.008
0.022
0.037
-0.017
0.029
-0.011
0.027
-0.014
0.020
0.036
-0.015
0.032
-0.016
0.025
-0.011
0.025
0.037
-0.019
0.030
-0.014
0.029
-0.017
0.022
0.037
-0.017
0.033
-0.019
0.027
-0.014
0.027
0.038
-0.021
0.032
-0.016
0.031
-0.020
0.025
0.037
-0.019
0.035
-0.021
0.029
-0.017
0.029
0.039
-0.023
0.033
-0.019
0.032
-0.022
0.027
0.038
-0.021
0.036
-0.023
0.031
-0.020
0.031
0.040
-0.025
0.035
-0.021
0.034
-0.024
0.029
0.039
-0.023
0.037
-0.026
0.032
-0.022
0.033
0.040
-0.027
0.036
-0.023
0.035
-0.027
0.031
0.040
-0.025
0.038
-0.028
0.034
-0.024
0.034
0.041
-0.029
0.037
-0.026
0.037
-0.029
0.033
0.040
-0.027
0.039
-0.030
0.035
-0.027
0.036
0.041
-0.031
0.038
-0.028
0.038
-0.031
0.034
0.041
-0.029
0.040
-0.031
0.037
-0.029
0.037
0.041
-0.032
0.039
-0.030
0.039
-0.032
0.036
0.041
-0.031
0.040
-0.033
0.038
-0.031
0.038
0.041
-0.034
0.040
-0.031
0.040
-0.034
0.037
0.041
-0.032
0.040
-0.034
0.039
-0.032
0.039
0.041
-0.035
0.040
-0.033
0.040
-0.036
0.038
0.041
-0.034
0.041
-0.036
0.040
-0.034
0.040
0.041
-0.036
0.041
-0.035
0.040
-0.037
0.039
0.041
-0.035
0.041
-0.037
0.040
-0.036
0.040
0.041
-0.037
0.041
-0.036
0.040
-0.038
0.040
0.041
-0.036
0.040
-0.038
0.040
-0.037
0.040
0.040
-0.038
0.041
-0.037
0.040
-0.039
0.040
0.041
-0.037
0.040
-0.039
0.040
-0.038
0.040
0.040
-0.039
0.040
-0.038
0.040
-0.040
0.040
0.040
-0.038
0.039
-0.040
0.040
-0.039
0.040
0.039
-0.040
0.040
-0.039
0.039
-0.040
0.040
0.039
-0.039
0.039
-0.040
0.040
-0.040
0.040
0.038
-0.040
0.039
-0.040
0.039
-0.040
0.040
0.039
-0.040
0.038
-0.040
0.039
-0.040
0.039
0.038
-0.040
0.039
-0.040
0.038
-0.040
0.039
0.038
-0.040
0.038
-0.040
0.039
-0.040
0.038
0.037
-0.040
0.038
-0.040
0.038
-0.040
0.039
0.038
-0.040
0.037
-0.040
0.038
-0.040
0.038
0.037
-0.040
0.038
-0.040
0.037
-0.039
0.038
0.037
-0.040
0.037
-0.039
0.038
-0.040
0.038
0.037
-0.039
0.037
-0.040
0.037
-0.039
0.038
0.037
-0.040
0.037
-0.039
0.037
-0.039
0.037
0.037
-0.039
0.037
-0.039
0.037
-0.038
0.038
0.037
-0.039
0.038
-0.038
0.037
-0.039
0.037
0.038
-0.038
0.037
-0.039
0.038
-0.038
0.037
0.037
-0.039
0.038
-0.038
0.037
-0.038
0.038
0.038
-0.038
0.038
-0.038
0.038
-0.038
0.037
0.038
-0.038
0.038
-0.038
0.038
-0.038
0.038
0.039
-0.038
0.038
-0.038
0.038
-0.037
0.038
0.038
-0.038
0.039
-0.037
0.038
-0.038
0.038
0.039
-0.037
0.038
-0.038
0.039
-0.037
0.038
0.039
-0.038
0.039
-0.037
0.038
-0.037
0.039
0.039
-0.037
0.039
-0.037
0.039
-0.038
0.038
0.039
-0.037
0.039
-0.038
0.039
-0.037
0.039
0.039
-0.038
0.039
-0.037
0.039
-0.038
0.039
0.039
-0.037
0.039
-0.038
0.039
-0.038
0.039
0.039
-0.038
0.039
-0.038
0.039
-0.038
0.039
0.039
-0.038
0.039
-0.038
0.039
-0.038
0.039
0.039
-0.038
0.039
-0.038
0.039
-0.039
0.039
0.039
-0.038
0.039
-0.039
0.039
-0.038
0.039
0.039
-0.039
0.039
-0.038
0.039
-0.039
0.039
0.039
-0.038
0.039
-0.039
0.039
-0.039
0.039
0.039
-0.039
0.039
-0.039
0.039
-0.039
0.039
0.039
-0.039
0.039
-0.039
0.039
-0.039
0.039
0.038
-0.039
0.039
-0.039
0.039
-0.039
0.039
0.039
-0.039
0.038
-0.039
0.039
-0.039
0.039
0.038
-0.039
0.039
-0.039
0.038
-0.039
0.039
0.038
-0.039
0.038
-0.039
0.039
-0.039
0.038
0.038
-0.039
0.038
-0.039
0.038
-0.039
0.039
0.038
-0.039
0.038
-0.039
0.038
-0.039
0.038
0.038
-0.039
0.038
-0.039
0.038
-0.039
0.038
0.038
-0.039
0.038
-0.039
0.038
-0.039
0.038
0.038
-0.039
0.038
-0.039
0.038
-0.039
0.038
0.038
-0.039
0.038
-0.039
0.038
-0.039
0.038
0.038
-0.039
0.038
-0.039
0.038
-0.038
0.038
0.038
-0.039
0.038
-0.038
0.038
-0.039
0.038
0.038
-0.038
0.038
-0.039
0.038
-0.038
0.038
0.038
-0.039
0.038
-0.038
0.038
-0.038
0.038
0.038
-0.038
0.038
-0.038
0.038
-0.038
0.038
0.038
-0.038
0.038
-0.038
0.038
-0.038
0.038
0.039
-0.038
0.038
-0.038
0.038
-0.038
0.038
0.038
-0.038
0.039
-0.038
0.038
-0.038
0.038
0.039
-0.038
0.038
-0.038
0.039
-0.038
0.038
0.039
-0.038
0.039
-0.038
0.038
-0.038
0.039
0.039
-0.038
0.039
-0.038
0.039
-0.038
0.038
0.039
-0.038
0.039
-0.038
0.039
-0.038
0.039
0.039
-0.038
0.039
-0.038
0.039
-0.038
0.039
0.039
-0.038
0.039
-0.038
0.039
-0.038
0.039
0.039
-0.038
0.039
-0.038
0.039
-0.038
0.039
0.039
-0.038
0.039
-0.038
0.039
-0.038
0.039
0.039
-0.038
0.039
-0.038
0.039
-0.039
0.039
Cn6
Cp7
Cn7
Cp8
Cn8
Cp9
tau
1.000
0.023
-0.006
0.033
-0.016
0.042
-0.025
0.563
0.024
-0.005
0.033
-0.015
0.007
-0.025
0.250
0.023
-0.006
0.008
-0.015
0.006
-0.014
0.063
0.008
-0.005
0.007
-0.006
-0.004
-0.014
0.000
0.007
0.002
-0.003
-0.006
0.014
-0.004
0.000
-0.003
0.002
0.013
0.002
0.004
-0.006
0.000
0.010
0.008
0.004
-0.001
0.006
0.002
0.000
0.002
0.004
0.006
0.006
-0.002
-0.001
0.000
0.005
0.011
-0.002
0.003
0.001
0.006
0.000
-0.003
0.007
0.001
0.010
-0.006
0.003
0.000
0.000
0.013
-0.006
0.006
-0.003
0.010
0.000
-0.007
0.010
-0.003
0.013
-0.010
0.006
0.000
-0.004
0.016
-0.010
0.010
-0.006
0.013
0.000
-0.010
0.013
-0.006
0.016
-0.013
0.010
0.000
-0.007
0.019
-0.013
0.013
-0.010
0.015
0.000
-0.013
0.016
-0.010
0.018
-0.015
0.013
0.000
-0.010
0.021
-0.016
0.016
-0.013
0.018
0.000
-0.016
0.019
-0.013
0.021
-0.018
0.016
0.000
-0.013
0.024
-0.018
0.018
-0.016
0.021
0.000
-0.019
0.021
-0.016
0.023
-0.021
0.018
0.000
-0.016
0.026
-0.021
0.021
-0.018
0.023
0.000
-0.021
0.024
-0.018
0.026
-0.023
0.021
0.000
-0.019
0.028
-0.023
0.023
-0.021
0.026
0.000
-0.024
0.026
-0.021
0.028
-0.026
0.023
0.000
-0.021
0.030
-0.026
0.026
-0.023
0.028
0.000
-0.026
0.028
-0.023
0.030
-0.028
0.026
0.000
-0.024
0.032
-0.028
0.028
-0.026
0.030
0.000
-0.028
0.030
-0.026
0.032
-0.030
0.028
0.000
-0.026
0.034
-0.030
0.030
-0.028
0.032
0.000
-0.030
0.032
-0.028
0.034
-0.032
0.030
0.000
-0.028
0.036
-0.032
0.032
-0.030
0.034
0.000
-0.032
0.034
-0.030
0.035
-0.034
0.032
0.000
-0.030
0.037
-0.034
0.034
-0.032
0.035
0.000
-0.034
0.036
-0.032
0.037
-0.035
0.034
0.000
-0.032
0.038
-0.035
0.035
-0.034
0.037
0.000
-0.035
0.037
-0.034
0.038
-0.037
0.035
0.000
-0.034
0.039
-0.037
0.037
-0.035
0.038
0.000
-0.037
0.038
-0.035
0.039
-0.038
0.037
0.000
-0.035
0.040
-0.038
0.038
-0.037
0.039
0.000
-0.038
0.039
-0.037
0.040
-0.039
0.038
0.000
-0.037
0.040
-0.039
0.039
-0.038
0.040
0.000
-0.039
0.040
-0.038
0.040
-0.040
0.039
0.000
-0.038
0.040
-0.040
0.040
-0.039
0.040
0.000
-0.040
0.040
-0.039
0.040
-0.040
0.040
0.000
-0.039
0.040
-0.040
0.040
-0.040
0.040
0.000
-0.040
0.040
-0.040
0.040
-0.040
0.040
0.000
-0.040
0.040
-0.040
0.040
-0.040
0.040
0.000
-0.040
0.040
-0.040
0.040
-0.040
0.040
0.000
-0.040
0.040
-0.040
0.040
-0.040
0.040
0.000
-0.040
0.040
-0.040
0.040
-0.040
0.040
0.000
-0.040
0.039
-0.040
0.040
-0.040
0.040
0.000
-0.040
0.040
-0.040
0.039
-0.040
0.040
0.000
-0.040
0.038
-0.040
0.040
-0.040
0.039
0.000
-0.040
0.039
-0.040
0.038
-0.039
0.040
0.000
-0.040
0.038
-0.039
0.039
-0.040
0.038
0.000
-0.039
0.038
-0.040
0.038
-0.038
0.039
0.000
-0.039
0.038
-0.038
0.038
-0.039
0.038
0.000
-0.038
0.038
-0.039
0.038
-0.038
0.038
0.000
-0.039
0.037
-0.038
0.038
-0.038
0.038
0.000
-0.038
0.038
-0.038
0.037
-0.038
0.038
0.000
-0.038
0.037
-0.038
0.038
-0.038
0.037
0.000
-0.038
0.037
-0.038
0.037
-0.037
0.038
0.000
-0.038
0.038
-0.037
0.037
-0.038
0.037
0.000
-0.037
0.037
-0.038
0.038
-0.037
0.037
0.000
-0.038
0.038
-0.037
0.037
-0.037
0.038
0.000
-0.037
0.038
-0.037
0.038
-0.038
0.037
0.000
-0.037
0.038
-0.038
0.038
-0.037
0.038
0.000
-0.038
0.038
-0.037
0.038
-0.038
0.038
0.000
-0.037
0.039
-0.038
0.038
-0.038
0.038
0.000
-0.038
0.038
-0.038
0.039
-0.038
0.038
0.000
-0.038
0.039
-0.038
0.038
-0.038
0.039
0.000
-0.038
0.039
-0.038
0.039
-0.039
0.038
0.000
-0.038
0.039
-0.039
0.039
-0.038
0.039
0.000
-0.039
0.039
-0.038
0.039
-0.039
0.039
0.000
-0.038
0.039
-0.039
0.039
-0.039
0.039
0.000
-0.039
0.039
-0.039
0.039
-0.039
0.039
0.000
-0.039
0.039
-0.039
0.039
-0.039
0.039
0.000
-0.039
0.039
-0.039
0.039
-0.039
0.039
0.000
-0.039
0.039
-0.039
0.039
-0.039
0.039
0.000
-0.039
0.039
-0.039
0.039
-0.039
0.039
0.000
-0.039
0.039
-0.039
0.039
-0.039
0.039
0.000
-0.039
0.039
-0.039
0.039
-0.039
0.039
0.000
-0.039
0.039
-0.039
0.039
-0.039
0.039
0.000
-0.039
0.039
-0.039
0.039
-0.039
0.039
0.000
-0.039
0.038
-0.039
0.039
-0.039
0.039
0.000
-0.039
0.039
-0.039
0.038
-0.039
0.039
0.000
-0.039
0.038
-0.039
0.039
-0.039
0.038
0.000
-0.039
0.038
-0.039
0.038
-0.038
0.039
0.000
-0.039
0.038
-0.038
0.038
-0.039
0.038
0.000
-0.038
0.038
-0.039
0.038
-0.038
0.038
0.000
-0.039
0.038
-0.038
0.038
-0.038
0.038
0.000
-0.038
0.038
-0.038
0.038
-0.038
0.038
0.000
-0.038
0.038
-0.038
0.038
-0.038
0.038
0.000
-0.038
0.038
-0.038
0.038
-0.038
0.038
0.000
-0.038
0.038
-0.038
0.038
-0.038
0.038
0.000
-0.038
0.038
-0.038
0.038
-0.038
0.038
0.000
-0.038
0.038
-0.038
0.038
-0.038
0.038
0.000
-0.038
0.038
-0.038
0.038
-0.038
0.038
0.000
-0.038
0.038
-0.038
0.038
-0.038
0.038
0.000
-0.038
0.038
-0.038
0.038
-0.038
0.038
0.000
-0.038
0.039
-0.038
0.038
-0.038
0.038
0.000
-0.038
0.038
-0.038
0.039
-0.038
0.038
0.000
-0.038
0.039
-0.038
0.038
-0.038
0.039
0.000
-0.038
0.039
-0.038
0.039
-0.039
0.038
0.000
-0.038
0.039
-0.039
0.039
-0.038
0.039
0.000
-0.039
0.039
-0.038
0.039
-0.039
0.039
0.000
-0.038
0.039
-0.039
0.039
-0.039
0.039
0.000
Cv9
4157.004
1315.302
259.813
16.238
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
Tiempo
Nudo 1
0.00 H
0.50 H
1.00 H
1.50 H
2.00 H
2.50 H
3.00 H
3.50 H
4.00 H
4.50 H
5.00 H
5.50 H
6.00 H
6.50 H
7.00 H
7.50 H
8.00 H
8.50 H
9.00 H
9.50 H
10.00 H
10.50 H
11.00 H
11.50 H
12.00 H
12.50 H
13.00 H
13.50 H
14.00 H
14.50 H
15.00 H
15.50 H
16.00 H
16.50 H
17.00 H
17.50 H
18.00 H
18.50 H
19.00 H
19.50 H
20.00 H
20.50 H
21.00 H
21.50 H
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
Nudo 2
Nudo 3
Nudo 4
264.7 198.525005 132.35001 66.1750155
264.7 198.525005 132.35001 66.1750155
264.7 198.525005 132.35001 66.1750155
264.7 198.525005 132.35001 66.1750155
264.7 198.525005 132.35001 66.1750155
264.7 198.525005 132.35001 66.1750155
264.7 198.525005 132.35001 76.7903722
264.7 198.525005 135.946341 77.4823601
264.7 199.65084 136.212923 100.796889
264.7 199.737679 147.761942 84.2218624
264.7 204.302978 140.265738 108.94838
264.7 201.524542 154.962111 94.4140441
264.7 208.379997 146.071398 121.590807
264.7 204.172173 163.712457 107.552835
264.7 212.979445 154.06955 136.070681
264.7 207.997538 173.850912 121.704482
264.7 218.33984 163.537993 150.62759
264.7 212.832409 184.479814 136.24511
264.7 224.076622 173.872708 164.866944
264.7 218.329732 195.083127 150.807909
264.7 229.820433 184.578423 178.609058
264.7 224.125335 205.339292 165.084033
264.7 235.332032 195.230816 191.70164
264.7 229.89998 215.037945 178.847858
264.7 240.476901 205.51163 204.000844
264.7 235.425181 224.038274 191.933467
264.7 245.18204 215.208531 215.412576
264.7 240.567271 232.268083 204.21681
264.7
249.4227 224.195571 225.878995
264.7 245.263568 239.701723 215.610912
264.7 253.201202 232.409951 235.36207
264.7 249.495143 246.334706 226.059204
264.7 256.527702 239.828593 243.83143
264.7 253.265198 252.165835 235.52395
264.7 259.409748 246.446987 251.256375
264.7 256.583595 257.188686 243.974787
264.7 261.849061 252.263684 257.602325
264.7 259.457725 261.389911 251.380762
264.7 263.842203 257.272009 262.831085
264.7 261.889124 264.751326 257.706953
264.7 265.38284 261.458273 266.904206
264.7 263.874124 267.254183 262.91511
264.7 266.464913 264.804233 269.787572
264.7 265.406452 268.883922 266.966926
22.00 H
22.50 H
23.00 H
23.50 H
24.00 H
24.50 H
25.00 H
25.50 H
26.00 H
26.50 H
=
=
=
=
=
=
=
=
=
=
MAX
MIN
264.7
264.7
264.7
264.7
264.7
264.7
264.7
264.7
264.7
264.7
267.085422
266.480192
267.246597
267.092391
266.972477
267.245349
266.412505
266.964291
265.758987
266.401101
267.291355
269.634276
268.905254
269.512769
269.639777
268.653717
269.502992
267.421827
268.633669
266.094829
271.456247
269.828503
271.899934
271.475123
271.161459
271.896756
269.584582
271.13894
267.657126
269.551683
264.7 267.246597 269.639777 271.899934

264.7 198.525005 132.35001 66.1750155
1
2
3
4
Nudo 5
Nudo 6
Nudo 7
Nudo 8
Nudo 9
2.0684E-005 -66.1749741 -132.349969 -198.524964 -264.699959
2.0684E-005 -66.1749741 -132.349969 -198.524964 0.0016541
2.0684E-005 -66.1749741 -132.349969 -75.8538784 0.00801778
2.0684E-005 -66.1749741 -46.2224883 -73.7198029 0.04267653
2.0684E-005 -12.6083813 -43.8407188 -5.85353092 -97.4539595
26.6188596 -10.7301056 17.493608 -67.7148175 -30.7282138
28.0342085 39.6750861 -36.9564001 -7.37242717 -44.5311168
65.3429561 -3.78773893 15.2470841 -24.5564803 11.9400772
35.9458838 40.5238971 -5.83015247 28.0432063 -7.53919455
71.28811 18.652692 43.4035244 6.45222056 42.2242813
51.7148433 62.605947 22.1128247 54.3503239 18.9926325
88.0737806 42.5972431 67.4741893 31.7057994 65.3864751
70.4659072 84.0988742 46.0032564 76.3470764 43.2209779
106.398181 64.2632751 88.490872 55.0491014 86.417219
88.856662 103.755057 68.1518677 96.7322147 65.8402296
123.944128
84.69448 108.151604 76.827126 106.258562
106.794737 122.283526 88.9592288 116.052005 86.919286
140.743611 104.140233 126.785569 97.2208886 125.134535
124.227439 139.918906 108.575168 134.412804 106.73589
156.842975 122.64053 144.521067 116.476071 143.052987
141.03207 156.736391 127.167314 151.858547 125.513052
172.211066 140.260915 161.380813 134.761877 160.089383
157.138234 172.707897 144.851022 168.443593 143.376659
186.755772 157.044221 177.378576 152.16928 176.280487
172.487399 187.800884 161.679977 184.172965 160.388865
200.40211 172.990229 192.489553 168.734507 191.60373
187.011906 201.964771 177.658794 199.001287 176.563894
213.084675 188.064871 206.652699 184.447937 205.993221
200.640368 215.130735 192.753364 212.849947 191.871254
224.740332 202.211575 219.783982 199.259821 219.358193
213.304681 227.218557 206.899151 225.622557 206.243751
235.307223 215.358863 231.787902 213.090573 231.596051
224.940937 238.143854 220.011212 237.215299 219.589921
244.724277 227.426449 242.565886 225.843109 242.600502
235.487594 247.822148 231.993978 247.523936 231.806464
252.930042 238.330103 252.02078 237.413449 252.267698
244.883507 256.170254 242.748854 256.448084 242.787409
259.862317 247.985124 260.059177 247.697761 260.498938
253.066884 263.10771 252.178868 263.892463 252.429395
265.460079 256.308384 266.592378 256.595949 267.20063
259.975539 268.558536 260.190811 269.766766 260.633826
269.666702 263.219615 271.537214 264.012777 272.284093
265.548603 272.453593 266.696063 273.986404 267.307101
272.433901 268.642924 274.818338 269.857962 275.667236
269.729573
273.727086
272.470389
273.534586
273.736785
272.01876
273.517885
269.695936
271.982232
267.051515
274.734588
272.509274
275.36115
274.760664
274.349141
275.357144
272.018124
274.317216
268.937093
271.967392
271.611502
276.373411
274.861927
276.163342
276.385337
274.277516
276.143403
271.127854
274.230141
267.375487
276.47577
274.046998
277.175276
276.504453
276.063857
277.171161
273.306488
276.027628
269.449934
273.244343
272.360593
277.279458
275.712322
277.071175
277.291932
275.064059
277.050498
271.571813
275.012513
267.361428
273.736785 275.36115 276.385337 277.175276 277.291932

2.0684E-005 -66.1749741 -132.349969 -198.524964 -264.699959
5
6
7
8
9
Altura Piezometrica Valvula

Altura Piezometrica Deposito
Altura Piezometrica Punto Medio
Tiempo
0.00 Q
0.38 Q
0.77 Q
1.15 Q
1.54 Q
1.92 Q
2.31 Q
2.69 Q
3.08 Q
3.46 Q
3.85 Q
4.23 Q
4.62 Q
5.00 Q
5.39 Q
5.77 Q
6.16 Q
6.54 Q
6.93 Q
7.31 Q
7.70 Q
8.08 Q
8.47 Q
8.85 Q
9.24 Q
9.62 Q
10.00 Q
10.39 Q
10.77 Q
11.16 Q
11.54 Q
11.93 Q
12.31 Q
12.70 Q
13.08 Q
13.47 Q
13.85 Q
14.24 Q
14.62 Q
15.01 Q
15.39 Q
15.78 Q
16.16 Q
16.55 Q
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
Nudo 1
Nudo 2
Nudo 3
Nudo 4
10.2654327 10.2654327 10.2654327 10.2654327
10.2654327 10.2654327 10.2654327 10.2654327
10.2654327 10.2654327 10.2654327 10.2654327
10.2654327 10.2654327 10.2654327 10.2654327
10.2654327 10.2654327 10.2654327 10.2654327
10.2654327 10.2654327 10.2654327 10.2654327
10.2654327 10.2654327 10.2654327 10.2118055
10.2654327 10.2654327 10.2122101 10.1557624
10.2654327 10.2126117 10.1565876 10.0978069
10.1605878 10.1574067 10.0990615 10.0372446
10.0510064 10.048278 10.0389455 9.97454971
9.93764072 9.93421899 9.92506407 9.9090472
9.81915156 9.81614832 9.8060462 9.78991896
9.69642447 9.69274854 9.68277717 9.66543787
9.56816303 9.5648723 9.55396298 9.53645645
9.43518739 9.43124585 9.42042394 9.4017064
9.29624566 9.29265738 9.28091114 9.26197668
9.15209441
9.147879 9.13618178 9.11604594
9.00152892 8.99763662 8.98503467 8.96464187
8.84524468 8.84075128 8.82816648 8.80659326
8.6820876 8.67788952 8.66442731 8.64256958
8.51269544 8.50792531 8.49445669 8.47145383
8.33596926 8.33146959 8.31716048 8.28210049
8.15249326 8.14745426 8.12143654 8.08699224
7.96122914 7.94482052 7.91970675 7.88671484
7.73961128 7.73593524 7.71252883 7.68065568
7.51324743 7.50984562 7.49931834 7.46938293
7.28266199 7.27921002 7.26919668 7.25238165
7.04772382 7.04456175 7.03481409 7.01885056
6.80897537 6.80583886 6.79671833 6.78143828
6.56642329 6.56359848 6.55492063 6.5407121
6.32063967 6.31791994 6.30999794 6.29675926
6.07177606 6.06939546 6.06210518 6.05018088
5.82044522 5.81825188 5.81185912 5.80120882
5.56694908 5.56512695 5.55956339 5.55048764
5.31195087 5.31039929 5.30588401 5.29839722
5.05590594 5.05476101 5.05127591 5.04563357
4.79953593 4.79874391 4.79646185 4.79272514
4.54344941 4.54310103 4.54204745 4.54188145
4.28843164 4.28851521 4.29026848 4.29259096
4.03524023 4.0372507 4.04069567 4.04551015
3.78761085 3.78895803 3.79402046 3.8013009
3.54409585 3.5458022 3.55098122 3.56064693
3.30530033 3.30742425 3.31373237 3.32427514
16.93 Q
17.32 Q
17.70 Q
18.09 Q
18.47 Q
18.85 Q
19.24 Q
19.62 Q
20.01 Q
20.39 Q
20.78 Q
21.16 Q
21.55 Q
21.93 Q
22.32 Q
22.70 Q
23.09 Q
23.47 Q
23.86 Q
24.24 Q
24.63 Q
25.01 Q
25.40 Q
25.78 Q
26.17 Q
26.55 Q
26.94 Q
27.32 Q
27.71 Q
28.09 Q
28.47 Q
28.86 Q
29.24 Q
29.63 Q
30.01 Q
30.40 Q
30.78 Q
31.17 Q
31.55 Q
31.94 Q
32.32 Q
32.71 Q
33.09 Q
33.48 Q
33.86 Q
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
3.0719476
2.84463341
2.62406283
2.41079815
2.20549182
2.00864451
1.82081854
1.64242158
1.47388647
1.3154946
1.16750979
1.03005355
0.90318293
0.78541542
0.67757111
0.5794873
0.49086339
0.41138712
0.34060613
0.27807079
0.22319998
0.17543163
0.13409326
0.09854961
0.06808974
0.04205986
0.01977919
0.00064523
-0.01590983
-0.02915557
-0.04024234
-0.04951018
-0.05715321
-0.06331903
-0.06798485
-0.07108094
-0.07236247
-0.07155034
-0.06821048
-0.06190197
-0.05207544
-0.03821543
-0.01977345
-0.00064505
0.01590522
3.07442416
2.84751571
2.62727755
2.41438807
2.20937844
2.01285577
1.825274
1.64713056
1.47876989
1.32054024
1.17264311
1.03523901
0.90764709
0.79030659
0.68239564
0.58417383
0.49540391
0.41570966
0.34471038
0.28188959
0.22674167
0.17864002
0.1369862
0.10108864
0.07030298
0.04393347
0.02135206
0.00193454
-0.01425525
-0.02807628
-0.03933313
-0.04869805
-0.05641488
-0.06256927
-0.06720017
-0.07017377
-0.07131565
-0.07028636
-0.06672591
-0.06014258
-0.05005821
-0.03592392
-0.01942984
-0.00193398
0.01425105
3.08190795
2.85609004
2.63696497
2.42507958
2.22106624
2.02540891
1.83864931
1.66117788
1.49340722
1.33560183
1.18800667
1.0500205
0.92218681
0.80448598
0.6967971
0.59822469
0.50895284
0.42867638
0.35695546
0.29335389
0.23731018
0.18828274
0.14562633
0.10873367
0.07692873
0.04959309
0.02608779
0.00645126
-0.01023205
-0.02443319
-0.0365325
-0.04623838
-0.05411465
-0.06029649
-0.06475855
-0.06743509
-0.06809767
-0.06649099
-0.06221797
-0.05488139
-0.04399011
-0.03127167
-0.01808376
-0.00453348
0.0102289
3.09431692
2.87038121
2.65301756
2.44286557
2.24042428
2.04626011
1.86079311
1.68447986
1.51763065
1.36055472
1.21271323
1.07473488
0.94668067
0.82853369
0.72020079
0.62148637
0.53142792
0.45014609
0.3772807
0.31234738
0.25487443
0.20428212
0.16002044
0.12145999
0.08801975
0.05908068
0.0346911
0.01392077
-0.00372679
-0.01868861
-0.03133893
-0.04194964
-0.05012051
-0.05630438
-0.06053174
-0.06268263
-0.0626104
-0.06002901
-0.05464596
-0.04606475
-0.03609403
-0.02614924
-0.01637483
-0.00592066
0.00564129
34.25 Q
34.63 Q
35.02 Q
35.40 Q
35.79 Q
36.17 Q
36.56 Q
36.94 Q
37.33 Q
37.71 Q
38.09 Q
38.48 Q
38.86 Q
39.25 Q
39.63 Q
40.02 Q
40.40 Q
40.79 Q
41.17 Q
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
0.02914699
0.04023029
0.04949504
0.05713537
0.06329887
0.06796285
0.07105766
0.07233866
0.07152686
0.06818839
0.06188236
0.05205942
0.03820404
0.01976771
0.00064486
-0.0159006
-0.02913841
-0.04021825
-0.04947992
0.02806795
0.03932127
0.04868311
0.05639723
0.06254935
0.06717846
0.07015087
0.07129228
0.07026342
0.06670436
0.06012353
0.05004271
0.03591305
0.01942405
0.00193341
-0.01424685
-0.02805962
-0.03930942
-0.04866818
0.02442571
0.03652128
0.04622401
0.05409762
0.06027728
0.06473773
0.06741328
0.06807564
0.06646954
0.06219805
0.05486396
0.0439762
0.03126178
0.01807806
0.00453207
-0.01022574
-0.02441824
-0.03651006
-0.04620965
0.01868256
0.03132894
0.04193633
0.05010458
0.05628645
0.06051244
0.06266267
0.06259051
0.06001
0.05462862
0.04604998
0.03608221
0.02614051
0.01636931
0.00591867
-0.00563943
-0.01867652
-0.03131896
-0.04192303
Nudo 5
Nudo 6
Nudo 7
Nudo 8
Nudo 9
10.2654327 10.2654327 10.2654327 10.2654327 10.2654327
10.2654327 10.2654327 10.2654327 10.2654327 10.2097359
10.2654327 10.2654327 10.2654327 10.2101561 10.1515422
10.2654327 10.2654327 10.2105731 10.1523989 10.0913913
10.2654327 10.210987 10.1532493 10.0926936 10.0285489
10.2113978 10.1540933 10.0939863 10.0303139 9.96352411
10.154931 10.0952693 10.0320658 9.96576168 9.89560328
10.0965428 10.0338048 9.9679829 9.8983313 9.82526596
10.0355311 9.97018791 9.90103957 9.82849539 9.75182052
9.9723768 9.90372821 9.83170165 9.75556981 9.67571829
9.90639738 9.83488489 9.75929243 9.67999925 9.59629117
9.83804526 9.76298855 9.68425005 9.60112274 9.51396416
9.76665836 9.68847089 9.60592058 9.51935886 9.42809474
9.64176879 9.61068493 9.5247163 9.43407181 9.33908393
9.51130278 9.4795061 9.44000803 9.34565643 9.24631734
9.37608115 9.34252414 9.30200781 9.25350458 9.15017493
9.23486399 9.20052973 9.15797994 9.10815841 9.05007345
9.08841047 9.05231471 9.00868712 8.95656881 8.88473504
8.93553008 8.89861053 8.85295689 8.78740898 8.71480632
8.77692312 8.73826152 8.67950964 8.61344846 8.54102908
8.61145222 8.56003383 8.50103791 8.43539727 8.36269579
8.4279281 8.3765461 8.31821978 8.25256256 8.18052596
8.23889928 8.18844479 8.13037877 8.06563222 7.99390048
8.04498126 7.99507187 7.93817134 7.87400264 7.80352239
7.84553709 7.79705304 7.74101152 7.67834571 7.60886441
7.64116288 7.59382259 7.53954064 7.47815102 7.41061876
7.43131637 7.38599242 7.33326777 7.27408047 7.2083528
7.21658173 7.17309428 7.12282562 7.06572023 7.0027531
6.99651719 6.95573331 6.90782232 6.85372791 6.7934836
6.76040141 6.73354343 6.68888817 6.63778885 6.58122968
6.52088677 6.49588501 6.46573367 6.4185614 6.36575261
6.27856439 6.25541804 6.22780143 6.19583154 6.1477401
6.03359875 6.01276053 5.98776088 5.95912296 5.92705004
5.78661827 5.76815342 5.7462584 5.72111403 5.69476892
5.53793114 5.52225399 5.5036082 5.48395757 5.46236913
5.28821132 5.2754437 5.26196861 5.24682907 5.23038835
5.037912 5.02989243 5.02058789 5.01027938 4.99911438
4.7892204 4.78492566 4.78003589 4.77466427 4.76908661
4.54154255 4.54113772 4.54074106 4.54054278 4.54064651
4.29550203 4.29903337 4.30328759 4.30832942 4.3143296
4.05168207 4.05922678 4.06816678 4.07858558 4.09051865
3.81073055 3.82228832 3.83597076 3.85177129 3.86973786
3.57329715 3.58884457 3.60723915 3.62844219 3.65239698
3.34004515 3.35951518 3.38256285 3.40908817 3.43899959
3.11167215
2.89027219
2.67540974
2.46758591
2.26737372
2.07520781
1.89156903
1.71679703
1.55124477
1.39441848
1.24701181
1.10914916
0.98089845
0.86224745
0.75310496
0.65331092
0.56260706
0.47997672
0.40549622
0.33877034
0.27929692
0.22659624
0.18010479
0.13929916
0.1036072
0.07311492
0.04691215
0.02451239
0.00546404
-0.01063278
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-0.03522159
-0.04413987
-0.05035619
-0.05422875
-0.05570717
-0.05461387
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-0.03585798
-0.02822334
-0.02119676
-0.01398584
-0.00619988
0.00253307
3.13492849
2.91573369
2.70397195
2.49914327
2.30168385
2.11208061
1.93068746
1.75788131
1.59319676
1.43737189
1.29057713
1.15294482
1.02452634
0.90531561
0.79523383
0.69412754
0.60178268
0.51789742
0.44142083
0.37241164
0.31046702
0.25510146
0.20586216
0.16224324
0.12438859
0.09143514
0.06293418
0.03845442
0.01760607
4.6311E-005
-0.0145158
-0.0262969
-0.03545774
-0.04206463
-0.04553186
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Caudal Valvula
Caudal Deposito
Caudal Punto Medio

Transitorios Método de La Características

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TRANSITORIOS EN SISTEMAS HIDRAULICOS A PRESI

De manera similar obtenemos el dimetro equivalente

y por ultimo obtenemos el factor de friccin equivalente

Coef. Inicial Kv0

DATOS DEL USUARIO

Condiciones Iniciales (Clculos Iniciales)

ALTURAS PIEZOMETRICAS Y CAUDALES

e los datos fsicos de sus diferentes secciones

da una de las secciones

tremo aguas abajo se hace sentir en el extremo al cabo de

ra real, debe coincidir con el que se invierte

264.7 267.246597 269.639777 271.899934

273.736785 275.36115 276.385337 277.175276 277.291932

Altura Piezometrica Valvula

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