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METODO: HARDY CROSS n = 1.57E-06 m2/s Ks = 0.0015 mm 1.- Caudales iniciales (tentativos): Iteracion Circuito Tuberia D L Q Ks/D 0 (m) (m) I P-2 0.1 300 -0.0045 0.000015 P-3 0.1 100 0.0035 0.000015 P-4 0.1 100 -0.0025 0.000015 P-5 0.1 300 0.0055 0.000015 P-6 0.1 100 -0.008 0.000015 P-7 0.1 100 0.007 0.000015 II P-6 0.1 100 0.008 0.000015 P-7 0.1 100 -0.007 0.000015 P-8 0.1 100 -0.0095 0.000015 P-9 0.1 100 0.0115 0.000015 III P-1 0.1 100 0.018 0.000015 P-2 0.1 300 0.0045 0.000015 P-3 0.1 100 -0.0035 0.000015 P-9 0.1 100 -0.0115 0.000015 P-10 0.1 100 -0.029 0.000015 2.- Formulacion de circuitos. (m 3 /s) J-6 J-3 J-5 J-2 P-10 J-1 5 lps P-9 P-1 P-2 P-3 P-7 P-8 P-4 P-5 20 lps 10 lps 10 lps 5 lps 5 lps 5 lps P-6 5 lps 5 lps 10 lps 10 lps R-1 45 lps R-2 45 lps J-7 10 lps

Tercero Hardy Cross

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Ejercicio Hardy Cros de Sistema de Agua y Alcantarillado

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Page 1: Tercero Hardy Cross

METODO: HARDY CROSS

n = 1.57E-06 m2/sKs = 0.0015 mm

1.- Caudales iniciales (tentativos):

Iteracion Circuito Tuberia D L Q Ks/D A0 (m) (m)

I P-2 0.1 300 -0.0045 0.000015 0.007853982P-3 0.1 100 0.0035 0.000015 0.007853982P-4 0.1 100 -0.0025 0.000015 0.007853982P-5 0.1 300 0.0055 0.000015 0.007853982P-6 0.1 100 -0.008 0.000015 0.007853982P-7 0.1 100 0.007 0.000015 0.007853982

II P-6 0.1 100 0.008 0.000015 0.007853982P-7 0.1 100 -0.007 0.000015 0.007853982P-8 0.1 100 -0.0095 0.000015 0.007853982P-9 0.1 100 0.0115 0.000015 0.007853982

III P-1 0.1 100 0.018 0.000015 0.007853982P-2 0.1 300 0.0045 0.000015 0.007853982P-3 0.1 100 -0.0035 0.000015 0.007853982P-9 0.1 100 -0.0115 0.000015 0.007853982P-10 0.1 100 -0.029 0.000015 0.007853982

2.- Formulacion de circuitos.

(m3/s) (m2)

J-6

J-3 J-4

J-5

J-2

P-10

J-1

5 lps

P-9

P-1

P-2

P-3P-7

P-8

P-4

P-5

20 lps

10 lps 10 lps

5 lps

5 lps5 lps

P-6

5 lps

5 lps10 lps 10 lps

10 lps

R-1

45 lps

R-2

45 lps

J-7

10 lps

Page 2: Tercero Hardy Cross

III P-1 0.1 100 -0.018 0.000015 0.007853982P-5 0.1 300 -0.0055 0.000015 0.007853982P-4 0.1 100 0.0025 0.000015 0.007853982P-8 0.1 100 0.0095 0.000015 0.007853982P-10 0.1 100 0.029 0.000015 0.007853982

Iteracion Circuito Tuberia D L Q Ks/D A0 (m) (m)

I P-2 0.1 300 -0.0079726 0.000015 0.007853982P-3 0.1 100 2.7354E-05 0.000015 0.007853982P-4 0.1 100 3.7935E-05 0.000015 0.007853982P-5 0.1 300 0.0080379 0.000015 0.007853982P-6 0.1 100 -0.0075008 0.000015 0.007853982P-7 0.1 100 0.0074992 0.000015 0.007853982

00

II P-6 0.1 100 0.0075008 0.000015 0.007853982P-7 0.1 100 -0.0074992 0.000015 0.007853982P-8 0.1 100 -0.0102004 0.000015 0.007853982P-9 0.1 100 0.0075282 0.000015 0.007853982

00

III P-1 0.1 100 0.0240106 0.000015 0.007853982P-2 0.1 300 0.0079726 0.000015 0.007853982P-3 0.1 100 -2.735E-05 0.000015 0.007853982P-9 0.1 100 -0.0075282 0.000015 0.007853982P-10 0.1 100 -0.0229894 0.000015 0.007853982

00

III P-1 0.1 100 -0.0240106 0.000015 0.007853982P-5 0.1 300 -0.0080379 0.000015 0.007853982P-4 0.1 100 -3.793E-05 0.000015 0.007853982P-8 0.1 100 0.0034894 0.000015 0.007853982P-10 0.1 100 0.0229894 0.000015 0.007853982

Iteracion Circuito Tuberia D L Q Ks/D A

(m3/s) (m2)

Page 3: Tercero Hardy Cross

0 (m) (m)I P-2 0.1 300 -0.0114453 0.000015 0.007853982

P-3 0.1 100 -0.0034453 0.000015 0.007853982P-4 0.1 100 0.0025759 0.000015 0.007853982P-5 0.1 300 0.0105759 0.000015 0.007853982P-6 0.1 100 -0.0070016 0.000015 0.007853982P-7 0.1 100 0.0079984 0.000015 0.007853982

00

II P-6 0.1 100 0.0070016 0.000015 0.007853982P-7 0.1 100 -0.0079984 0.000015 0.007853982P-8 0.1 100 -0.0109008 0.000015 0.007853982P-9 0.1 100 0.0035563 0.000015 0.007853982

00

III P-1 0.1 100 0.0300212 0.000015 0.007853982P-2 0.1 300 0.0114453 0.000015 0.007853982P-3 0.1 100 0.0034453 0.000015 0.007853982P-9 0.1 100 -0.0035563 0.000015 0.007853982P-10 0.1 100 -0.0169788 0.000015 0.007853982

00

III P-1 0.1 100 -0.0300212 0.000015 0.007853982P-5 0.1 300 -0.0105759 0.000015 0.007853982P-4 0.1 100 -0.0025759 0.000015 0.007853982P-8 0.1 100 -0.0025212 0.000015 0.007853982P-10 0.1 100 0.0169788 0.000015 0.007853982

Iteracion Circuito Tuberia D L Q Ks/D A0 (m) (m)

I P-2 0.1 300 -0.0149179 0.000015 0.007853982P-3 0.1 100 -0.0069179 0.000015 0.007853982P-4 0.1 100 0.0051138 0.000015 0.007853982P-5 0.1 300 0.0131138 0.000015 0.007853982P-6 0.1 100 -0.0065025 0.000015 0.007853982P-7 0.1 100 0.0084975 0.000015 0.007853982

00

II P-6 0.1 100 0.0065025 0.000015 0.007853982

(m3/s) (m2)

(m3/s) (m2)

Page 4: Tercero Hardy Cross

P-7 0.1 100 -0.0084975 0.000015 0.007853982P-8 0.1 100 -0.0116011 0.000015 0.007853982P-9 0.1 100 -0.0004155 0.000015 0.007853982

00

III P-1 0.1 100 0.0360317 0.000015 0.007853982P-2 0.1 300 0.0149179 0.000015 0.007853982P-3 0.1 100 0.0069179 0.000015 0.007853982P-9 0.1 100 0.0004155 0.000015 0.007853982P-10 0.1 100 -0.0109683 0.000015 0.007853982

00

III P-1 0.1 100 -0.0360317 0.000015 0.007853982P-5 0.1 300 -0.0131138 0.000015 0.007853982P-4 0.1 100 -0.0051138 0.000015 0.007853982P-8 0.1 100 -0.0085317 0.000015 0.007853982P-10 0.1 100 0.0109683 0.000015 0.007853982

Iteracion Circuito Tuberia D L Q Ks/D A0 (m) (m)

I P-2 0.1 300 -0.0183906 0.000015 0.007853982P-3 0.1 100 -0.0103906 0.000015 0.007853982P-4 0.1 100 0.0076517 0.000015 0.007853982P-5 0.1 300 0.0156517 0.000015 0.007853982P-6 0.1 100 -0.0060033 0.000015 0.007853982P-7 0.1 100 0.0089967 0.000015 0.007853982

00

II P-6 0.1 100 0.0060033 0.000015 0.007853982P-7 0.1 100 -0.0089967 0.000015 0.007853982P-8 0.1 100 -0.0123015 0.000015 0.007853982P-9 0.1 100 -0.0043873 0.000015 0.007853982

00

III P-1 0.1 100 0.0420423 0.000015 0.007853982P-2 0.1 300 0.0183906 0.000015 0.007853982P-3 0.1 100 0.0103906 0.000015 0.007853982P-9 0.1 100 0.0043873 0.000015 0.007853982P-10 0.1 100 -0.0049577 0.000015 0.007853982

(m3/s) (m2)

Page 5: Tercero Hardy Cross

00

III P-1 0.1 100 -0.0420423 0.000015 0.007853982P-5 0.1 300 -0.0156517 0.000015 0.007853982P-4 0.1 100 -0.0076517 0.000015 0.007853982P-8 0.1 100 -0.0145423 0.000015 0.007853982P-10 0.1 100 0.0049577 0.000015 0.007853982

Iteracion Circuito Tuberia D L Q Ks/D A0 (m) (m)

I P-2 0.1 300 -0.0218632 0.000015 0.007853982P-3 0.1 100 -0.0138632 0.000015 0.007853982P-4 0.1 100 0.0101897 0.000015 0.007853982P-5 0.1 300 0.0181897 0.000015 0.007853982P-6 0.1 100 -0.0055041 0.000015 0.007853982P-7 0.1 100 0.0094959 0.000015 0.007853982

00

II P-6 0.1 100 0.0055041 0.000015 0.007853982P-7 0.1 100 -0.0094959 0.000015 0.007853982P-8 0.1 100 -0.0130019 0.000015 0.007853982P-9 0.1 100 -0.0083591 0.000015 0.007853982

00

III P-1 0.1 100 0.0480529 0.000015 0.007853982P-2 0.1 300 0.0218632 0.000015 0.007853982P-3 0.1 100 0.0138632 0.000015 0.007853982P-9 0.1 100 0.0083591 0.000015 0.007853982P-10 0.1 100 0.0010529 0.000015 0.007853982

00

III P-1 0.1 100 -0.0480529 0.000015 0.007853982P-5 0.1 300 -0.0181897 0.000015 0.007853982P-4 0.1 100 -0.0101897 0.000015 0.007853982P-8 0.1 100 -0.0205529 0.000015 0.007853982P-10 0.1 100 -0.0010529 0.000015 0.007853982

(m3/s) (m2)

Page 6: Tercero Hardy Cross

Iteracion Circuito Tuberia D L Q Ks/D A0 (m) (m)

I P-2 0.1 300 -0.0253359 0.000015 0.007853982P-3 0.1 100 -0.0173359 0.000015 0.007853982P-4 0.1 100 0.0127276 0.000015 0.007853982P-5 0.1 300 0.0207276 0.000015 0.007853982P-6 0.1 100 -0.0050049 0.000015 0.007853982P-7 0.1 100 0.0099951 0.000015 0.007853982

00

II P-6 0.1 100 0.0050049 0.000015 0.007853982P-7 0.1 100 -0.0099951 0.000015 0.007853982P-8 0.1 100 -0.0137023 0.000015 0.007853982P-9 0.1 100 -0.012331 0.000015 0.007853982

00

III P-1 0.1 100 0.0540635 0.000015 0.007853982P-2 0.1 300 0.0253359 0.000015 0.007853982P-3 0.1 100 0.0173359 0.000015 0.007853982P-9 0.1 100 0.012331 0.000015 0.007853982P-10 0.1 100 0.0070635 0.000015 0.007853982

00

III P-1 0.1 100 -0.0540635 0.000015 0.007853982P-5 0.1 300 -0.0207276 0.000015 0.007853982P-4 0.1 100 -0.0127276 0.000015 0.007853982P-8 0.1 100 -0.0265635 0.000015 0.007853982P-10 0.1 100 -0.0070635 0.000015 0.007853982

Iteracion Circuito Tuberia D L Q Ks/D A0 (m) (m)

I P-2 0.1 300 -0.0288085 0.000015 0.007853982P-3 0.1 100 -0.0208085 0.000015 0.007853982P-4 0.1 100 0.0152655 0.000015 0.007853982P-5 0.1 300 0.0232655 0.000015 0.007853982P-6 0.1 100 -0.0045057 0.000015 0.007853982P-7 0.1 100 0.0104943 0.000015 0.007853982

0

(m3/s) (m2)

(m3/s) (m2)

Page 7: Tercero Hardy Cross

0II P-6 0.1 100 0.0045057 0.000015 0.007853982

P-7 0.1 100 -0.0104943 0.000015 0.007853982P-8 0.1 100 -0.0144026 0.000015 0.007853982P-9 0.1 100 -0.0163028 0.000015 0.007853982

00

III P-1 0.1 100 0.0600741 0.000015 0.007853982P-2 0.1 300 0.0288085 0.000015 0.007853982P-3 0.1 100 0.0208085 0.000015 0.007853982P-9 0.1 100 0.0163028 0.000015 0.007853982P-10 0.1 100 0.0130741 0.000015 0.007853982

00

III P-1 0.1 100 -0.0600741 0.000015 0.007853982P-5 0.1 300 -0.0232655 0.000015 0.007853982P-4 0.1 100 -0.0152655 0.000015 0.007853982P-8 0.1 100 -0.0325741 0.000015 0.007853982P-10 0.1 100 -0.0130741 0.000015 0.007853982

Iteracion Circuito Tuberia D L Q Ks/D A0 (m) (m)

I P-2 0.1 300 -0.0322812 0.000015 0.007853982P-3 0.1 100 -0.0242812 0.000015 0.007853982P-4 0.1 100 0.0178035 0.000015 0.007853982P-5 0.1 300 0.0258035 0.000015 0.007853982P-6 0.1 100 -0.0040065 0.000015 0.007853982P-7 0.1 100 0.0109935 0.000015 0.007853982

00

II P-6 0.1 100 0.0040065 0.000015 0.007853982P-7 0.1 100 -0.0109935 0.000015 0.007853982P-8 0.1 100 -0.015103 0.000015 0.007853982P-9 0.1 100 -0.0202746 0.000015 0.007853982

00

III P-1 0.1 100 0.0660846 0.000015 0.007853982P-2 0.1 300 0.0322812 0.000015 0.007853982P-3 0.1 100 0.0242812 0.000015 0.007853982

(m3/s) (m2)

Page 8: Tercero Hardy Cross

P-9 0.1 100 0.0202746 0.000015 0.007853982P-10 0.1 100 0.0190846 0.000015 0.007853982

00

III P-1 0.1 100 -0.0660846 0.000015 0.007853982P-5 0.1 300 -0.0258035 0.000015 0.007853982P-4 0.1 100 -0.0178035 0.000015 0.007853982P-8 0.1 100 -0.0385846 0.000015 0.007853982P-10 0.1 100 -0.0190846 0.000015 0.007853982

Iteracion Circuito Tuberia D L Q Ks/D A0 (m) (m)

I P-2 0.1 300 -0.0357538 0.000015 0.007853982P-3 0.1 100 -0.0277538 0.000015 0.007853982P-4 0.1 100 0.0203414 0.000015 0.007853982P-5 0.1 300 0.0283414 0.000015 0.007853982P-6 0.1 100 -0.0035074 0.000015 0.007853982P-7 0.1 100 0.0114926 0.000015 0.007853982

00

II P-6 0.1 100 0.0035074 0.000015 0.007853982P-7 0.1 100 -0.0114926 0.000015 0.007853982P-8 0.1 100 -0.0158034 0.000015 0.007853982P-9 0.1 100 -0.0242465 0.000015 0.007853982

00

III P-1 0.1 100 0.0720952 0.000015 0.007853982P-2 0.1 300 0.0357538 0.000015 0.007853982P-3 0.1 100 0.0277538 0.000015 0.007853982P-9 0.1 100 0.0242465 0.000015 0.007853982P-10 0.1 100 0.0250952 0.000015 0.007853982

00

III P-1 0.1 100 -0.0720952 0.000015 0.007853982P-5 0.1 300 -0.0283414 0.000015 0.007853982P-4 0.1 100 -0.0203414 0.000015 0.007853982P-8 0.1 100 -0.0445952 0.000015 0.007853982P-10 0.1 100 -0.0250952 0.000015 0.007853982

(m3/s) (m2)

Page 9: Tercero Hardy Cross

Iteracion Circuito Tuberia D L Q Ks/D A0 (m) (m)

I P-2 0.1 300 -0.0392265 0.000015 0.007853982P-3 0.1 100 -0.0312265 0.000015 0.007853982P-4 0.1 100 0.0228793 0.000015 0.007853982P-5 0.1 300 0.0308793 0.000015 0.007853982P-6 0.1 100 -0.0030082 0.000015 0.007853982P-7 0.1 100 0.0119918 0.000015 0.007853982

00

II P-6 0.1 100 0.0030082 0.000015 0.007853982P-7 0.1 100 -0.0119918 0.000015 0.007853982P-8 0.1 100 -0.0165038 0.000015 0.007853982P-9 0.1 100 -0.0282183 0.000015 0.007853982

00

III P-1 0.1 100 0.0781058 0.000015 0.007853982P-2 0.1 300 0.0392265 0.000015 0.007853982P-3 0.1 100 0.0312265 0.000015 0.007853982P-9 0.1 100 0.0282183 0.000015 0.007853982P-10 0.1 100 0.0311058 0.000015 0.007853982

00

III P-1 0.1 100 -0.0781058 0.000015 0.007853982P-5 0.1 300 -0.0308793 0.000015 0.007853982P-4 0.1 100 -0.0228793 0.000015 0.007853982P-8 0.1 100 -0.0506058 0.000015 0.007853982P-10 0.1 100 -0.0311058 0.000015 0.007853982

Iteracion Circuito Tuberia D L Q Ks/D A0 (m) (m)

I P-2 0.1 300 -0.0426991 0.000015 0.007853982P-3 0.1 100 -0.0346991 0.000015 0.007853982P-4 0.1 100 0.0254173 0.000015 0.007853982P-5 0.1 300 0.0334173 0.000015 0.007853982P-6 0.1 100 -0.002509 0.000015 0.007853982

(m3/s) (m2)

(m3/s) (m2)

Page 10: Tercero Hardy Cross

P-7 0.1 100 0.012491 0.000015 0.00785398200

II P-6 0.1 100 0.002509 0.000015 0.007853982P-7 0.1 100 -0.012491 0.000015 0.007853982P-8 0.1 100 -0.0172041 0.000015 0.007853982P-9 0.1 100 -0.0321901 0.000015 0.007853982

00

III P-1 0.1 100 0.0841164 0.000015 0.007853982P-2 0.1 300 0.0426991 0.000015 0.007853982P-3 0.1 100 0.0346991 0.000015 0.007853982P-9 0.1 100 0.0321901 0.000015 0.007853982P-10 0.1 100 0.0371164 0.000015 0.007853982

00

III P-1 0.1 100 -0.0841164 0.000015 0.007853982P-5 0.1 300 -0.0334173 0.000015 0.007853982P-4 0.1 100 -0.0254173 0.000015 0.007853982P-8 0.1 100 -0.0566164 0.000015 0.007853982P-10 0.1 100 -0.0371164 0.000015 0.007853982

Page 11: Tercero Hardy Cross

V Re f a(m/s) (m)

0.5729578 36494.13 0.0223675 55444.709 249.50119 -1.122755349497 -0.0002011950.44563384 28384.32 0.0237307 19607.935 68.627772 0.240197201452 -0.0002011950.31830989 20274.52 0.0257639 21287.919 53.219797 -0.133049492952 -0.0002011950.70028175 44603.93 0.0213634 52955.637 291.256 1.601908011425 -0.0002011951.01859164 64878.45 0.0196657 16249.162 129.9933 -1.039946391155 -0.0002011950.89126768 56768.64 0.0202459 16728.554 117.09988 0.819699126605 -0.000201195

909.69793 0.366053105878

1.01859164 64878.45 0.0196657 16249.162 129.9933 1.039946391155 -0.0007003770.89126768 56768.64 0.0202459 16728.554 117.09988 -0.819699126605 -0.0007003771.20957757 77043.16 0.0189565 15663.122 148.79966 -1.413596742359 -0.0007003771.46422548 93262.77 0.0182141 15049.751 173.07214 1.990329568488 -0.000700377

568.96497 0.796980090679

2.29183118 145976.51 0.0166449 13753.131 247.55636 4.456014527315 0.00327145070.5729578 36494.13 0.0223675 55444.709 249.50119 1.122755349497 0.0032714507

0.44563384 28384.32 0.0237307 19607.935 68.627772 -0.240197201452 0.00327145071.46422548 93262.77 0.0182141 15049.751 173.07214 -1.990329568488 0.00327145073.69239468 235184.37 0.0152047 12563.204 364.33292 -10.56565478181 0.0032714507

1103.0904 -7.217411674936

a * ABS (Q) a * ABS (Q) * Q D Q(m3/s)

10 lps

Page 12: Tercero Hardy Cross

2.29183118 145976.51 0.0166449 13753.131 247.55636 -4.456014527315 -0.0027391290.70028175 44603.93 0.0213634 52955.637 291.256 -1.601908011425 -0.0027391290.31830989 20274.52 0.0257639 21287.919 53.219797 0.133049492952 -0.0027391291.20957757 77043.16 0.0189565 15663.122 148.79966 1.413596742359 -0.0027391293.69239468 235184.37 0.0152047 12563.204 364.33292 10.56565478181 -0.002739129

1105.1647 6.054378478379

V Re f a(m/s) (m)

1.01510876 64656.61 0.0196803 48783.57 388.93412 -3.100833864039 -0.0002011950.00348287 221.84 0.1366711 112927.05 3.0890523 8.449919332E-05 -0.0002011950.00482998 307.64 0.1140919 94270.556 3.5761098 0.000135658068 -0.0002011951.02342161 65186.09 0.0196456 48697.72 391.42909 3.146281362157 -0.0002011950.95503378 60830.18 0.0199424 16477.76 123.59668 -0.92707615308 -0.0002011950.95482554 60816.91 0.0199433 16478.543 123.57559 0.926715904162 -0.000201195

1034.2006 0.045307406461

0.95503378 60830.18 0.0199424 16477.76 123.59668 0.92707615308 -0.0007003770.95482554 60816.91 0.0199433 16478.543 123.57559 -0.926715904162 -0.0007003771.29875235 82723.08 0.0186746 15430.212 157.39398 -1.605477983387 -0.0007003770.95851665 61052.02 0.0199266 16464.711 123.94918 0.933110781333 -0.000700377

528.51544 -0.672006953135

3.05712201 194721.15 0.0157489 13012.785 312.44452 7.501974105134 0.00327145071.01510876 64656.61 0.0196803 48783.57 388.93412 3.100833864039 0.00327145070.00348287 221.84 0.1366711 112927.05 3.0890523 -8.44991933E-05 0.00327145070.95851665 61052.02 0.0199266 16464.711 123.94918 -0.933110781333 0.00327145072.92710385 186439.74 0.0158788 13120.15 301.62463 -6.934175245216 0.0032714507

1130.0415 2.73543744343

3.05712201 194721.15 0.0157489 13012.785 312.44452 -7.501974105134 -0.0027391291.02342161 65186.09 0.0196456 48697.72 391.42909 -3.146281362157 -0.0027391290.00482998 307.64 0.1140919 94270.556 3.5761098 -0.000135658068 -0.0027391290.44428674 28298.52 0.0237479 19622.138 68.469878 0.238920152411 -0.0027391292.92710385 186439.74 0.0158788 13120.15 301.62463 6.934175245216 -0.002739129

1077.5442 -3.475295727732

V Re f a

a * ABS (Q) a * ABS (Q) * Q D Q(m3/s)

a * ABS (Q) a * ABS (Q) * Q D Q

Page 13: Tercero Hardy Cross

(m/s) (m)1.45725973 92819.09 0.0182321 45193.784 517.25602 -5.920145715051 -0.000201195

0.4386681 27940.64 0.0238204 19682.018 67.810283 -0.233626168845 -0.0002011950.32796984 20889.80 0.0255727 21129.945 54.427972 0.140199328852 -0.0002011951.34656147 85768.25 0.0185338 45941.802 485.87448 5.138544903922 -0.0002011950.89147592 56781.91 0.0202449 16727.696 117.12123 -0.820040148813 -0.000201195

1.0183834 64865.18 0.0196666 16249.88 129.97246 1.03956713522 -0.0002011951372.4624 -0.655500664716

0.89147592 56781.91 0.0202449 16727.696 117.12123 0.820040148813 -0.0007003771.0183834 64865.18 0.0196666 16249.88 129.97246 -1.03956713522 -0.000700377

1.38792714 88403.00 0.0184173 15217.673 165.88412 -1.808261978074 -0.0007003770.45280782 28841.26 0.0236403 19533.272 69.467039 0.247048708197 -0.000700377

482.44485 -1.780740256284

3.82241284 243465.79 0.0151085 12483.68 374.77455 11.25116682998 0.00327145071.45725973 92819.09 0.0182321 45193.784 517.25602 5.920145715051 0.0032714507

0.4386681 27940.64 0.0238204 19682.018 67.810283 0.233626168845 0.00327145070.45280782 28841.26 0.0236403 19533.272 69.467039 -0.247048708197 0.00327145072.16181302 137695.10 0.0168368 13911.702 236.20456 -4.010479423671 0.0032714507

1265.5125 13.14741058201

3.82241284 243465.79 0.0151085 12483.68 374.77455 -11.25116682998 -0.0027391291.34656147 85768.25 0.0185338 45941.802 485.87448 -5.138544903922 -0.0027391290.32796984 20889.80 0.0255727 21129.945 54.427972 -0.140199328852 -0.0027391290.32100409 20446.12 0.0257098 21243.201 53.557514 -0.135027076209 -0.0027391292.16181302 137695.10 0.0168368 13911.702 236.20456 4.010479423671 -0.002739129

1204.8391 -12.6544587153

V Re f a(m/s) (m)

1.8994107 120981.57 0.0172751 42821.536 638.80897 -9.529711879881 -0.0002011950.88081907 56103.13 0.0202984 16771.945 116.02726 -0.802669238724 -0.000201195

0.6511097 41471.96 0.0217195 17946.148 91.773075 0.469309480443 -0.0002011951.66970133 106350.40 0.0177303 43949.909 576.35047 7.55814692742 -0.0002011950.82791806 52733.63 0.0205778 17002.748 110.55958 -0.718908471104 -0.0002011951.08194126 68913.46 0.019412 16039.548 136.29681 1.158188509778 -0.000201195

1669.8162 -1.865644672068

0.82791806 52733.63 0.0205778 17002.748 110.55958 0.718908471104 -0.000700377

(m3/s)

a * ABS (Q) a * ABS (Q) * Q D Q(m3/s)

Page 14: Tercero Hardy Cross

1.08194126 68913.46 0.019412 16039.548 136.29681 -1.158188509778 -0.0007003771.47710192 94082.92 0.0181812 15022.557 174.27866 -2.021829653952 -0.0007003770.05290101 3369.49 0.0428498 35405.411 14.710366 -0.006111914933 -0.000700377

435.84541 -2.467221607559

4.58770367 292210.43 0.0146181 12078.453 435.20767 15.681289619 0.00327145071.8994107 120981.57 0.0172751 42821.536 638.80897 9.529711879881 0.0032714507

0.88081907 56103.13 0.0202984 16771.945 116.02726 0.802669238724 0.00327145070.05290101 3369.49 0.0428498 35405.411 14.710366 0.006111914933 0.00327145071.39652219 88950.46 0.0183937 15198.15 166.69725 -1.828378764876 0.0032714507

1371.4515 24.19140388766

4.58770367 292210.43 0.0146181 12078.453 435.20767 -15.681289619 -0.0027391291.66970133 106350.40 0.0177303 43949.909 576.35047 -7.55814692742 -0.002739129

0.6511097 41471.96 0.0217195 17946.148 91.773075 -0.469309480443 -0.0027391291.08629492 69190.76 0.0193953 16025.747 136.72751 -1.166523627318 -0.0027391291.39652219 88950.46 0.0183937 15198.15 166.69725 1.828378764876 -0.002739129

1406.756 -23.0468908893

V Re f a(m/s) (m)

2.34156167 149144.06 0.0165752 41086.769 755.60962 -13.8961009085 -0.0002011951.32297004 84265.61 0.0186024 15370.613 159.70962 -1.659475920204 -0.0002011950.97424956 62054.11 0.0198562 16406.548 125.53861 0.960588551353 -0.0002011951.99284119 126932.56 0.0171103 42413.095 663.83865 10.39022872417 -0.000201195

0.7643602 48685.36 0.0209469 17307.735 103.90302 -0.623758009208 -0.0002011951.14549912 72961.73 0.0191767 15845.105 142.55411 1.28252072201 -0.000201195

1951.1536 -3.545996840381

0.7643602 48685.36 0.0209469 17307.735 103.90302 0.623758009208 -0.0007003771.14549912 72961.73 0.0191767 15845.105 142.55411 -1.28252072201 -0.0007003771.56627671 99762.85 0.0179633 14842.492 182.58505 -2.246071496372 -0.0007003770.55860984 35580.24 0.0224996 18590.679 81.563097 -0.357842703008 -0.000700377

510.60528 -3.262676912182

5.3529945 340955.06 0.0142251 11753.747 494.1548 20.77541444777 0.00327145072.34156167 149144.06 0.0165752 41086.769 755.60962 13.8961009085 0.00327145071.32297004 84265.61 0.0186024 15370.613 159.70962 1.659475920204 0.00327145070.55860984 35580.24 0.0224996 18590.679 81.563097 0.357842703008 0.00327145070.63123136 40205.82 0.021874 18073.769 89.603953 -0.444227678086 0.0032714507

a * ABS (Q) a * ABS (Q) * Q D Q(m3/s)

Page 15: Tercero Hardy Cross

1580.6411 36.2446063014

5.3529945 340955.06 0.0142251 11753.747 494.1548 -20.77541444777 -0.0027391291.99284119 126932.56 0.0171103 42413.095 663.83865 -10.39022872417 -0.0027391290.97424956 62054.11 0.0198562 16406.548 125.53861 -0.960588551353 -0.0027391291.85158576 117935.40 0.0173636 14347.015 208.63889 -3.034093577403 -0.0027391290.63123136 40205.82 0.021874 18073.769 89.603953 0.444227678086 -0.002739129

1581.7749 -34.71609762261

V Re f a(m/s) (m)

2.78371264 177306.54 0.0160312 39738.291 868.80732 -18.99493252715 -0.0002011951.76512101 112428.09 0.0175317 14485.872 200.82095 -2.784026615512 -0.0002011951.29738942 82636.27 0.0186787 15433.61 157.26344 1.602462943618 -0.0002011952.31598106 147514.72 0.0166108 41174.953 748.95893 13.62331770661 -0.0002011950.70080234 44637.09 0.0213598 17648.914 97.141187 -0.534673711774 -0.0002011951.20905697 77010.00 0.0189582 15664.548 148.74916 1.412508820628 -0.000201195

2221.741 -5.675343383578

0.70080234 44637.09 0.0213598 17648.914 97.141187 0.534673711774 -0.0007003771.20905697 77010.00 0.0189582 15664.548 148.74916 -1.412508820628 -0.0007003771.65545149 105442.77 0.0177612 14675.543 190.80973 -2.480886276114 -0.0007003771.06431866 67791.00 0.0194806 16096.179 134.5502 -1.124723892912 -0.000700377

571.25028 -4.48344527788

6.11828533 389699.70 0.0139 11485.128 551.89373 26.52009463586 0.00327145072.78371264 177306.54 0.0160312 39738.291 868.80732 18.99493252715 0.00327145071.76512101 112428.09 0.0175317 14485.872 200.82095 2.784026615512 0.00327145071.06431866 67791.00 0.0194806 16096.179 134.5502 1.124723892912 0.00327145070.13405947 8538.82 0.0323881 26761.267 28.176955 0.029667534065 0.0032714507

1784.2492 49.4534452055

6.11828533 389699.70 0.0139 11485.128 551.89373 -26.52009463586 -0.0027391292.31598106 147514.72 0.0166108 41174.953 748.95893 -13.62331770661 -0.0027391291.29738942 82636.27 0.0186787 15433.61 157.26344 -1.602462943618 -0.0027391292.61687659 166680.04 0.0162222 13403.864 275.48829 -5.662083458838 -0.0027391290.13405947 8538.82 0.0323881 26761.267 28.176955 -0.029667534065 -0.002739129

1761.7813 -47.437626279

a * ABS (Q) a * ABS (Q) * Q D Q(m3/s)

Page 16: Tercero Hardy Cross

V Re f a(m/s) (m)

3.22586361 205469.02 0.0155907 38646.279 979.13724 -24.80729731988 -0.0002011952.20727198 140590.57 0.016768 13854.86 240.1861 -4.163835822644 -0.0002011951.62052928 103218.43 0.0178386 14739.469 187.59817 2.387675857301 -0.0002011952.63912092 168096.87 0.0161958 40146.219 832.13505 17.24816849257 -0.0002011950.63724448 40588.82 0.0218266 18034.597 90.261471 -0.451750218195 -0.0002011951.27261483 81058.27 0.0187545 15496.219 154.88616 1.548101674177 -0.000201195

2484.2042 -8.238937336665

0.63724448 40588.82 0.0218266 18034.597 90.261471 0.451750218195 -0.0007003771.27261483 81058.27 0.0187545 15496.219 154.88616 -1.548101674177 -0.0007003771.74462627 111122.69 0.0175731 14520.111 198.95838 -2.726180007464 -0.0007003771.57002749 100001.75 0.0179545 14835.218 182.93259 -2.255735736144 -0.000700377

627.0386 -6.078267199591

6.88357617 438444.34 0.0136246 11257.571 608.62347 32.90430343222 0.00327145073.22586361 205469.02 0.0155907 38646.279 979.13724 24.80729731988 0.00327145072.20727198 140590.57 0.016768 13854.86 240.1861 4.163835822644 0.00327145071.57002749 100001.75 0.0179545 14835.218 182.93259 2.255735736144 0.0032714507

0.8993503 57283.46 0.0202058 16695.453 117.92801 0.832982228709 0.00327145072128.8074 64.9641545396

6.88357617 438444.34 0.0136246 11257.571 608.62347 -32.90430343222 -0.0027391292.63912092 168096.87 0.0161958 40146.219 832.13505 -17.24816849257 -0.0027391291.62052928 103218.43 0.0178386 14739.469 187.59817 -2.387675857301 -0.0027391293.38216742 215424.68 0.0154536 12768.828 339.18452 -9.009921600097 -0.002739129

0.8993503 57283.46 0.0202058 16695.453 117.92801 -0.832982228709 -0.0027391292085.4692 -62.38305161091

V Re f a(m/s) (m)

3.66801458 233631.50 0.0152233 37735.582 1087.1062 -31.31792077661 -0.0002011952.64942295 168753.05 0.0161837 13372.063 278.25282 -5.790029130307 -0.0002011951.94366914 123800.58 0.0171957 14208.273 216.89698 3.311049911181 -0.0002011952.96226078 188679.03 0.0158429 39271.521 913.6732 21.257102034 -0.0002011950.57368662 36540.55 0.0223609 18476.126 83.248329 -0.375094012684 -0.0002011951.33617269 85106.54 0.0185639 15338.729 160.96885 1.689251526045 -0.000201195

2740.1464 -11.22564044838

a * ABS (Q) a * ABS (Q) * Q D Q(m3/s)

a * ABS (Q) a * ABS (Q) * Q D Q(m3/s)

Page 17: Tercero Hardy Cross

0.57368662 36540.55 0.0223609 18476.126 83.248329 0.375094012684 -0.0007003771.33617269 85106.54 0.0185639 15338.729 160.96885 -1.689251526045 -0.0007003771.83380106 116802.62 0.0173973 14374.865 207.03601 -2.98186508511 -0.0007003772.07573632 132212.50 0.0169724 14023.788 228.62695 -3.727258238866 -0.000700377

679.88014 -8.023280837337

7.648867 487188.98 0.013387 11061.227 664.49283 39.91878273422 0.00327145073.66801458 233631.50 0.0152233 37735.582 1087.1062 31.31792077661 0.00327145072.64942295 168753.05 0.0161837 13372.063 278.25282 5.790029130307 0.00327145072.07573632 132212.50 0.0169724 14023.788 228.62695 3.727258238866 0.00327145071.66464114 106028.10 0.0177412 14659.018 191.65289 2.505681541584 0.0032714507

2450.1317 83.25967242159

7.648867 487188.98 0.013387 11061.227 664.49283 -39.91878273422 -0.0027391292.96226078 188679.03 0.0158429 39271.521 913.6732 -21.257102034 -0.0027391291.94366914 123800.58 0.0171957 14208.273 216.89698 -3.311049911181 -0.0027391294.14745825 264169.32 0.0148857 12299.557 400.6465 -13.05068362118 -0.0027391291.66464114 106028.10 0.0177412 14659.018 191.65289 -2.505681541584 -0.002739129

2387.3624 -80.04329984216

V Re f a(m/s) (m)

4.11016555 261793.98 0.01491 36959.1 1193.0828 -38.51410226999 -0.0002011953.09157391 196915.54 0.0157156 12985.341 315.2992 -7.655831709078 -0.000201195

2.266809 144382.74 0.0166807 13782.711 245.38017 4.368619991969 -0.0002011953.28540064 209261.19 0.0155375 38514.341 993.80389 25.64359503274 -0.0002011950.51012877 32492.28 0.0229822 18989.481 76.082154 -0.304826344001 -0.0002011951.39973055 89154.81 0.0183849 15190.903 167.00056 1.835913620509 -0.000201195

2990.6488 -14.62663167785

0.51012877 32492.28 0.0229822 18989.481 76.082154 0.304826344001 -0.0007003771.39973055 89154.81 0.0183849 15190.903 167.00056 -1.835913620509 -0.0007003771.92297584 122482.54 0.0172325 14238.683 215.04707 -3.247859561738 -0.0007003772.58144515 164423.26 0.0162648 13439.084 272.47235 -5.524274156509 -0.000700377

730.60213 -10.30322099475

8.41415783 535933.62 0.0131789 10889.32 719.61678 47.55561656756 0.00327145074.11016555 261793.98 0.01491 36959.1 1193.0828 38.51410226999 0.00327145073.09157391 196915.54 0.0157156 12985.341 315.2992 7.655831709078 0.0032714507

a * ABS (Q) a * ABS (Q) * Q D Q(m3/s)

Page 18: Tercero Hardy Cross

2.58144515 164423.26 0.0162648 13439.084 272.47235 5.524274156509 0.00327145072.42993197 154772.74 0.0164562 13597.218 259.49802 4.952426479547 0.0032714507

2759.9691 104.2022511827

8.41415783 535933.62 0.0131789 10889.32 719.61678 -47.55561656756 -0.0027391293.28540064 209261.19 0.0155375 38514.341 993.80389 -25.64359503274 -0.002739129

2.266809 144382.74 0.0166807 13782.711 245.38017 -4.368619991969 -0.0027391294.91274908 312913.95 0.0144413 11932.409 460.4077 -17.76466593117 -0.0027391292.42993197 154772.74 0.0164562 13597.218 259.49802 -4.952426479547 -0.002739129

2678.7066 -100.284924003

V Re f a(m/s) (m)

4.55231652 289956.47 0.0146383 36285.521 1297.3456 -46.38504961831 -0.0002011953.53372488 225078.02 0.0153284 12665.402 351.51317 -9.755829899654 -0.0002011952.58994887 164964.90 0.0162545 13430.573 273.1968 5.557208369338 -0.000201195

3.6085405 229843.34 0.0152692 37849.43 1072.7062 30.40200845533 -0.0002011950.44657091 28444.01 0.0237188 19598.089 68.737549 -0.241087310297 -0.0002011951.46328841 93203.08 0.0182165 15051.742 172.98426 1.988045885673 -0.000201195

3236.4837 -18.43470411792

0.44657091 28444.01 0.0237188 19598.089 68.737549 0.241087310297 -0.0007003771.46328841 93203.08 0.0182165 15051.742 172.98426 -1.988045885673 -0.0007003772.01215063 128162.46 0.0170775 14110.611 222.99555 -3.524086537814 -0.0007003773.08715398 196634.01 0.0157199 12988.839 314.93324 -7.636013326143 -0.000700377

779.6506 -12.90705843933

9.17944866 584678.26 0.0129946 10737.002 774.0865 55.8079376376 0.00327145074.55231652 289956.47 0.0146383 36285.521 1297.3456 46.38504961831 0.00327145073.53372488 225078.02 0.0153284 12665.402 351.51317 9.755829899654 0.00327145073.08715398 196634.01 0.0157199 12988.839 314.93324 7.636013326143 0.0032714507

3.1952228 203517.38 0.0156186 12905.146 323.8575 8.127275491805 0.00327145073061.736 127.7121059735

9.17944866 584678.26 0.0129946 10737.002 774.0865 -55.8079376376 -0.0027391293.6085405 229843.34 0.0152692 37849.43 1072.7062 -30.40200845533 -0.002739129

2.58994887 164964.90 0.0162545 13430.573 273.1968 -5.557208369338 -0.0027391295.67803991 361658.59 0.01408 11633.829 518.81317 -23.13658792052 -0.002739129

3.1952228 203517.38 0.0156186 12905.146 323.8575 -8.127275491805 -0.0027391292962.6602 -123.0310178746

a * ABS (Q) a * ABS (Q) * Q D Q(m3/s)

Page 19: Tercero Hardy Cross

V Re f a(m/s) (m)

4.99446749 318118.95 0.0143993 35693.057 1400.1121 -54.92143598871 -0.0002011953.97587585 253240.50 0.0150003 12394.28 387.02943 -12.08555759161 -0.0002011952.91308873 185547.05 0.0158933 13132.098 300.4538 6.874186250204 -0.0002011953.93168036 250425.50 0.0150309 37258.661 1150.5231 35.52739928533 -0.0002011950.38301305 24395.74 0.0246143 20338.062 61.180501 -0.184041802546 -0.0002011951.52684627 97251.35 0.0180576 14920.388 178.92265 2.145608662514 -0.000201195

3478.2216 -22.64384118483

0.38301305 24395.74 0.0246143 20338.062 61.180501 0.184041802546 -0.0007003771.52684627 97251.35 0.0180576 14920.388 178.92265 -2.145608662514 -0.0007003772.10132541 133842.38 0.0169313 13989.834 230.88503 -3.810473641809 -0.000700377

3.5928628 228844.76 0.0152815 12626.618 356.30142 -10.05421261258 -0.000700377827.28959 -15.82625311436

9.94473949 633422.90 0.0128296 10600.696 827.97585 64.66971746006 0.00327145074.99446749 318118.95 0.0143993 35693.057 1400.1121 54.92143598871 0.00327145073.97587585 253240.50 0.0150003 12394.28 387.02943 12.08555759161 0.0032714507

3.5928628 228844.76 0.0152815 12626.618 356.30142 10.05421261258 0.00327145073.96051363 252262.01 0.0150109 12403.023 385.80597 12.00080369464 0.0032714507

3357.2248 153.7317273476

9.94473949 633422.90 0.0128296 10600.696 827.97585 -64.66971746006 -0.0027391293.93168036 250425.50 0.0150309 37258.661 1150.5231 -35.52739928533 -0.0027391292.91308873 185547.05 0.0158933 13132.098 300.4538 -6.874186250204 -0.0027391296.44333074 410403.23 0.0137777 11384.12 576.10254 -29.15413065241 -0.0027391293.96051363 252262.01 0.0150109 12403.023 385.80597 -12.00080369464 -0.002739129

3240.8612 -148.2262373426

V Re f a(m/s) (m)

5.43661846 346281.43 0.0141867 35165.985 1501.556 -64.11509098835 -0.0002011954.41802682 281402.98 0.014717 12160.221 421.94875 -14.64124246294 -0.0002011953.23622859 206129.21 0.0155813 12874.36 327.23121 8.317327293478 -0.0002011954.25482022 271007.66 0.0148171 36728.619 1227.3705 41.01538500092 -0.0002011950.31945519 20347.46 0.0257408 21268.846 53.363432 -0.133888594436 -0.000201195

a * ABS (Q) a * ABS (Q) * Q D Q(m3/s)

a * ABS (Q) a * ABS (Q) * Q D Q(m3/s)

Page 20: Tercero Hardy Cross

1.59040413 101299.63 0.0179071 14796.1 184.81816 2.308564471642 -0.0002011953716.2881 -27.24894527968

0.31945519 20347.46 0.0257408 21268.846 53.363432 0.133888594436 -0.0007003771.59040413 101299.63 0.0179071 14796.1 184.81816 -2.308564471642 -0.000700377

2.1905002 139522.31 0.0167931 13875.65 238.71874 -4.10695258412 -0.0007003774.09857163 261055.52 0.0149177 12326.012 396.77562 -12.77224942579 -0.000700377

873.67595 -19.05387788711

10.7100303 682167.54 0.0126807 10477.694 881.34571 74.13561149792 0.00327145075.43661846 346281.43 0.0141867 35165.985 1501.556 64.11509098835 0.00327145074.41802682 281402.98 0.014717 12160.221 421.94875 14.64124246294 0.00327145074.09857163 261055.52 0.0149177 12326.012 396.77562 12.77224942579 0.00327145074.72580446 301006.65 0.014541 12014.788 445.94544 16.55188109544 0.0032714507

3647.5715 182.2160754704

10.7100303 682167.54 0.0126807 10477.694 881.34571 -74.13561149792 -0.0027391294.25482022 271007.66 0.0148171 36728.619 1227.3705 -41.01538500092 -0.0027391293.23622859 206129.21 0.0155813 12874.36 327.23121 -8.317327293478 -0.0027391297.20862157 459147.87 0.0135196 11170.811 632.45092 -35.80708227314 -0.0027391294.72580446 301006.65 0.014541 12014.788 445.94544 -16.55188109544 -0.002739129

3514.3438 -175.8272871609

Page 21: Tercero Hardy Cross

Q

-0.00327145 -0.0079726-0.00327145 2.7354E-050.002739129 3.7935E-050.002739129 0.00803790.000700377 -0.00750080.000700377 0.0074992

0.000201195 0.00750080.000201195 -0.0074992

-0.0102004-0.00327145 0.0075282

0.002739129 0.02401060.000201195 0.00797260.000201195 -2.735E-050.000700377 -0.00752820.002739129 -0.0229894

D Q(m3/s) (m3/s)

Page 22: Tercero Hardy Cross

-0.00327145 -0.02401060.000201195 -0.00803790.000201195 -3.793E-05-0.00327145 0.0034894-0.00327145 0.0229894

Q

-0.00327145 -0.0114453-0.00327145 -0.00344530.002739129 0.00257590.002739129 0.01057590.000700377 -0.00700160.000700377 0.0079984

0.000201195 0.00700160.000201195 -0.0079984

-0.0109008-0.00327145 0.0035563

0.002739129 0.03002120.000201195 0.01144530.000201195 0.00344530.000700377 -0.00355630.002739129 -0.0169788

-0.00327145 -0.03002120.000201195 -0.01057590.000201195 -0.0025759-0.00327145 -0.0025212-0.00327145 0.0169788

Q

D Q(m3/s) (m3/s)

D Q

Page 23: Tercero Hardy Cross

-0.00327145 -0.0149179-0.00327145 -0.00691790.002739129 0.00511380.002739129 0.01311380.000700377 -0.00650250.000700377 0.0084975

0.000201195 0.00650250.000201195 -0.0084975

-0.0116011-0.00327145 -0.0004155

0.002739129 0.03603170.000201195 0.01491790.000201195 0.00691790.000700377 0.00041550.002739129 -0.0109683

-0.00327145 -0.03603170.000201195 -0.01311380.000201195 -0.0051138-0.00327145 -0.0085317-0.00327145 0.0109683

Q

-0.00327145 -0.0183906-0.00327145 -0.01039060.002739129 0.00765170.002739129 0.01565170.000700377 -0.00600330.000700377 0.0089967

0.000201195 0.0060033

(m3/s) (m3/s)

D Q(m3/s) (m3/s)

Page 24: Tercero Hardy Cross

0.000201195 -0.0089967-0.0123015

-0.00327145 -0.0043873

0.002739129 0.04204230.000201195 0.01839060.000201195 0.01039060.000700377 0.00438730.002739129 -0.0049577

-0.00327145 -0.04204230.000201195 -0.01565170.000201195 -0.0076517-0.00327145 -0.0145423-0.00327145 0.0049577

Q

-0.00327145 -0.0218632-0.00327145 -0.01386320.002739129 0.01018970.002739129 0.01818970.000700377 -0.00550410.000700377 0.0094959

0.000201195 0.00550410.000201195 -0.0094959

-0.0130019-0.00327145 -0.0083591

0.002739129 0.04805290.000201195 0.02186320.000201195 0.01386320.000700377 0.00835910.002739129 0.0010529

D Q(m3/s) (m3/s)

Page 25: Tercero Hardy Cross

-0.00327145 -0.04805290.000201195 -0.01818970.000201195 -0.0101897-0.00327145 -0.0205529-0.00327145 -0.0010529

Q

-0.00327145 -0.0253359-0.00327145 -0.01733590.002739129 0.01272760.002739129 0.02072760.000700377 -0.00500490.000700377 0.0099951

0.000201195 0.00500490.000201195 -0.0099951

-0.0137023-0.00327145 -0.012331

0.002739129 0.05406350.000201195 0.02533590.000201195 0.01733590.000700377 0.0123310.002739129 0.0070635

-0.00327145 -0.05406350.000201195 -0.02072760.000201195 -0.0127276-0.00327145 -0.0265635-0.00327145 -0.0070635

D Q(m3/s) (m3/s)

Page 26: Tercero Hardy Cross

Q

-0.00327145 -0.0288085-0.00327145 -0.02080850.002739129 0.01526550.002739129 0.02326550.000700377 -0.00450570.000700377 0.0104943

0.000201195 0.00450570.000201195 -0.0104943

-0.0144026-0.00327145 -0.0163028

0.002739129 0.06007410.000201195 0.02880850.000201195 0.02080850.000700377 0.01630280.002739129 0.0130741

-0.00327145 -0.06007410.000201195 -0.02326550.000201195 -0.0152655-0.00327145 -0.0325741-0.00327145 -0.0130741

Q

-0.00327145 -0.0322812-0.00327145 -0.02428120.002739129 0.01780350.002739129 0.02580350.000700377 -0.00400650.000700377 0.0109935

D Q(m3/s) (m3/s)

D Q(m3/s) (m3/s)

Page 27: Tercero Hardy Cross

0.000201195 0.00400650.000201195 -0.0109935

-0.015103-0.00327145 -0.0202746

0.002739129 0.06608460.000201195 0.03228120.000201195 0.02428120.000700377 0.02027460.002739129 0.0190846

-0.00327145 -0.06608460.000201195 -0.02580350.000201195 -0.0178035-0.00327145 -0.0385846-0.00327145 -0.0190846

Q

-0.00327145 -0.0357538-0.00327145 -0.02775380.002739129 0.02034140.002739129 0.02834140.000700377 -0.00350740.000700377 0.0114926

0.000201195 0.00350740.000201195 -0.0114926

-0.0158034-0.00327145 -0.0242465

0.002739129 0.07209520.000201195 0.03575380.000201195 0.0277538

D Q(m3/s) (m3/s)

Page 28: Tercero Hardy Cross

0.000700377 0.02424650.002739129 0.0250952

-0.00327145 -0.07209520.000201195 -0.02834140.000201195 -0.0203414-0.00327145 -0.0445952-0.00327145 -0.0250952

Q

-0.00327145 -0.0392265-0.00327145 -0.03122650.002739129 0.02287930.002739129 0.03087930.000700377 -0.00300820.000700377 0.0119918

0.000201195 0.00300820.000201195 -0.0119918

-0.0165038-0.00327145 -0.0282183

0.002739129 0.07810580.000201195 0.03922650.000201195 0.03122650.000700377 0.02821830.002739129 0.0311058

-0.00327145 -0.07810580.000201195 -0.03087930.000201195 -0.0228793-0.00327145 -0.0506058-0.00327145 -0.0311058

D Q(m3/s) (m3/s)

Page 29: Tercero Hardy Cross

Q

-0.00327145 -0.0426991-0.00327145 -0.03469910.002739129 0.02541730.002739129 0.03341730.000700377 -0.0025090.000700377 0.012491

0.000201195 0.0025090.000201195 -0.012491

-0.0172041-0.00327145 -0.0321901

0.002739129 0.08411640.000201195 0.04269910.000201195 0.03469910.000700377 0.03219010.002739129 0.0371164

-0.00327145 -0.08411640.000201195 -0.03341730.000201195 -0.0254173-0.00327145 -0.0566164-0.00327145 -0.0371164

Q

-0.00327145 -0.0461717-0.00327145 -0.03817170.002739129 0.02795520.002739129 0.03595520.000700377 -0.0020098

D Q(m3/s) (m3/s)

D Q(m3/s) (m3/s)

Page 30: Tercero Hardy Cross

0.000700377 0.0129902

0.000201195 0.00200980.000201195 -0.0129902

-0.0179045-0.00327145 -0.0361619

0.002739129 0.0901270.000201195 0.04617170.000201195 0.03817170.000700377 0.03616190.002739129 0.043127

-0.00327145 -0.0901270.000201195 -0.03595520.000201195 -0.0279552-0.00327145 -0.062627-0.00327145 -0.043127

Page 31: Tercero Hardy Cross

4.- Carga de Presion en Nudos:

Tramoi j Tuberia D L Q A V

(m) (m) (m3/s) (m2) (m/s)R-1 J-7 P-1 0.1 100 0.0321 0.00785398 4.08709894J-7 J-1 P-2 0.1 100 0 0.00785398 0J-2 J-5 P-6 0.1 100 0.0051138 0.00785398 0.6511097J-3 J-5 P-7 0.1 100 0.0131138 0.00785398 1.66970133J-6 J-2 P-9 0.1 100 0.00849755 0.00785398 1.08194126J-6 J-3 P-8 0.1 100 0.00650245 0.00785398 0.82791806R-2 J-6 P-10 0.1 100 0.0321 0.00785398 4.08709894J-3 J-4 P-4 0.1 100 0 0.00785398 0J-2 J-1 P-3 0.1 300 0 0.00785398 0J-7 J-4 P-5 0.1 300 0 0.00785398 0

Resumen:Z P/Y HGL

(m) (m) (m)J-1 50 #DIV/0! #DIV/0!J-2 60 7.430 67.430J-3 55 -2.018 52.982J-4 55 -4.006 50.994J-5 55 11.136 66.136J-6 60 6.573 66.573

3.- Caudales Finales en tuberias:

P-1

P-2 P-5

5 lps5 lps

5 lps

R-1

45 lps

J-7

Page 32: Tercero Hardy Cross

J-6

J-3 J-4

J-5

J-2

P-10

J-1

5 lps

P-9

P-3P-7

P-8

P-4

20 lps

10 lps 10 lps

5 lps

P-6

5 lps

10 lps 10 lps

10 lps

R-2

45 lps

10 lps

Page 33: Tercero Hardy Cross

Re f hf Cota (m) P/Y (m) HGL (m)(m) i j i j i

260324.77 0.01476367 12.5697231 80 60 0 7.43027691 800.00 #DIV/0! #DIV/0! 55 50 -1.55 #DIV/0! 53.45

41471.96 0.02166371 0.46810388 55 55 -1.55 -2.01810388 53.45106350.40 0.01763507 2.50585383 60 55 -6.5 -4.00585383 53.5

68913.46 0.01933785 1.15376304 55 55 12.29 11.136237 67.2952733.63 0.02051398 0.71668059 55 60 12.29 6.57331941 67.29

260324.77 0.01476367 12.5697231 80 55 0 12.4302769 800.00 #DIV/0! #DIV/0! 60 65 -6.5 #DIV/0! 53.50.00 #DIV/0! #DIV/0! 60 65 7.29 #DIV/0! 67.290.00 #DIV/0! #DIV/0! 60 50 7.29 #DIV/0! 67.29

L(m) D(mm) J-1 Nudo Cota(m)P-1 100 100 J-2 J-1 50P-2 100 100 J-3 J-2 55P-3 300 100 J-4 J-3 60P-4 100 100 J-5 J-4 65P-5 300 100 J-6 J-5 55P-6 100 100 J-6 55P-7 100 100 J-7 60P-8 100 100 R-1 80P-9 100 100 R-2 80P-10 100 100

Page 34: Tercero Hardy Cross

10 lps

Page 35: Tercero Hardy Cross

HGL (m)j67.4302769

#DIV/0!52.981896150.9941462

66.13623766.573319467.4302769

#DIV/0!#DIV/0!#DIV/0!