Formato Hardy Cross

8/19/2019 Formato Hardy Cross

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Longitud de cada tramo: 1000 m.

Diámetro interior de las tuberías: 400 mm.

Viscosidad cinemática: 1e-6 m2/s.

CALCULO DE UNA RED CERRADA USA

ITERAC: 1 RUGOSIDAD AB= 0.1

CIRC. TRAMO LONG GASTO DIAM. FACTOR

(m) (lps) (m3/s) (m) f

1 1-2 1000 350.000 0.350 0.40 0.0144 116.16

2-3 1000 -150.000 -0.150 0.40 0.0144 116.16

** 3-1 1000 -300.000 -0.300 0.40 0.0144 116.16

3000 sm!"


## (m) (lps) (m3/s) (m) f

** 1-3 1000 300 0.300 0.40 0.0144 116.16

3-4 1000 50 0.050 0.40 0.0144 116.16

4-1 1000 -350 -0.350 0.40 0.0144 116.16

3000 sm!"


CIRC. TRAMO LONG GASTO DIAM. FACTOR(m) (lps) (m3/s) (m) f

1 1-2 1000 343.$5% 0.343% 0.40 0.0143$ 115.&1426

2-3 1000 -156.242 -0.1562 0.40 0.0143$ 115.&1426

** 3-1 1000 -32$.$00 -0.32$$ 0.40 0.0143$ 115.&1426

3000 sm!"


## (m) (lps) (m3/s) (m) f

** 1-3 1000 32$.$0 0.32$$ 0.40 0.0144 116.16

Datos del problema:

Fluido transortado: agua.

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3-4 1000 $1.46 0.0$15 0.40 0.0144 116.16

4-1 1000 -32%.54 -0.32%5 0.40 0.0144 116.16

3000 sm!"



(m) (lps) (m3/s) (m) f

1 1-2 1000 352.016 0.3520 0.40 0.0144 116.16

2-3 1000 -14$.&%4 -0.14%0 0.40 0.0144 116.16

** 3-1 1000 -316.34& -0.3163 0.40 0.0144 116.16

3000 sm!"


## (m) (lps) (m3/s) (m) f

** 1-3 1000 316.35 0.3164 0.40 0.0144 116.16

3-4 1000 6%.3$ 0.06%4 0.40 0.0144 116.16

4-1 1000 -331.64 -0.3316 0.40 0.0144 116.16

3000 sm!"

ITERAC: 4 's+!+ !, 0.0015


(m) (lps) (m3/s) (m) f

1 1-2 1000 350.$%$ 0.350% 0.40 0.0144 116.16

2-3 1000 -14&.213 -0.14&2 0.40 0.0144 116.16

** 3-1 1000 -321.11% -0.3211 0.40 0.0144 116.16

3000 sm!"


## (m) (lps) (m3/s) (m) f

** 1-3 1000 321.21% 0.3212 0.40 0.0144 116.163-4 1000 $2.005 0.0$20 0.40 0.0144 116.16

4-1 1000 -32$.&&5 -0.32%0 0.40 0.0144 116.16

3000 sm!"

ITERAC: 5 's+!+ !, 0.1


(m) (lps) (m3/s) (m) f

1 1-2 1000 352.215 0.3522 0.40 0.0144 116.16

2-3 1000 -14$.$%5 -0.14$% 0.40 0.0144 116.16

** 3-1 1000 -31&.14% -0.31&1 0.40 0.0144 116.16

3000 sm!"


## (m) (lps) (m3/s) (m) f

** 1-3 1000 31&.24% 0.31&2 0.40 0.0144 116.16

3-4 1000 $1.463 0.0$15 0.40 0.0144 116.16

4-1 1000 -32%.53$ -0.32%5 0.40 0.0144 116.16

3000 sm!"

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(m) (lps) (m3/s) (m) f

1 1-2 1000 351.&&0 0.352 0.40 0.0144 116.16

2-3 1000 -14%.010 -0.14% 0.40 0.0144 116.16

** 3-1 1000 -31&.&6% -0.320 0.40 0.0144 116.16

3000 sm!"


## (m) (lps) (m3/s) (m) f

** 1-3 1000 320.06% 0.320 0.40 0.0144 116.16

3-4 1000 $2.16 0.0$2 0.40 0.0144 116.16

4-1 1000 -32$.%4 -0.32% 0.40 0.0144 116.16

3000 sm!"


CIRC. TRAMO LONG GASTO DIAM. FACTOR(m) (lps) (m3/s) (m) f

1 1-2 1000 343.$5% 0.343% 0.40 0.0143$ 115.&1426

2-3 1000 -156.242 -0.1562 0.40 0.0143$ 115.&1426

** 3-1 1000 -32$.$00 -0.32$$ 0.40 0.0143$ 115.&1426

3000 sm!"


## (m) (lps) (m3/s) (m) f

** 1-3 1000 32$.$0 0.32$$ 0.40 0.0144 116.16

3-4 1000 $1.46 0.0$15 0.40 0.0144 116.16

4-1 1000 -32%.54 -0.32%5 0.40 0.0144 116.163000 sm!"



(m) (lps) (m3/s) (m) f

1 1-2 1000 352.016 0.3520 0.40 0.0144 116.16

2-3 1000 -14$.&%4 -0.14%0 0.40 0.0144 116.16

** 3-1 1000 -316.34& -0.3163 0.40 0.0144 116.16

3000 sm!"


## (m) (lps) (m3/s) (m) f

** 1-3 1000 316.35 0.3164 0.40 0.0144 116.16

3-4 1000 6%.3$ 0.06%4 0.40 0.0144 116.16

4-1 1000 -331.64 -0.3316 0.40 0.0144 116.16

3000 sm!"

ITERAC: 's+!+ !, 0.0015


(m) (lps) (m3/s) (m) f

aij

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1 1-2 1000 350.$%$ 0.350% 0.40 0.0144 116.16

2-3 1000 -14&.213 -0.14&2 0.40 0.0144 116.16

** 3-1 1000 -321.11% -0.3211 0.40 0.0144 116.16

3000 sm!"


## (m) (lps) (m3/s) (m) f

** 1-3 1000 321.21% 0.3212 0.40 0.0144 116.16

3-4 1000 $2.005 0.0$20 0.40 0.0144 116.16

4-1 1000 -32$.&&5 -0.32%0 0.40 0.0144 116.16

3000 sm!"

ITERAC: 1! 's+!+ !, 0.1


(m) (lps) (m3/s) (m) f

1 1-2 1000 352.215 0.3522 0.40 0.0144 116.16

2-3 1000 -14$.$%5 -0.14$% 0.40 0.0144 116.16

** 3-1 1000 -31&.14% -0.31&1 0.40 0.0144 116.16

3000 sm!"


## (m) (lps) (m3/s) (m) f

** 1-3 1000 31&.24% 0.31&2 0.40 0.0144 116.16

3-4 1000 $1.463 0.0$15 0.40 0.0144 116.16

4-1 1000 -32%.53$ -0.32%5 0.40 0.0144 116.16

3000 sm!"


(m) (lps) (m3/s) (m) f

0 sm!"


(m) (lps) (m3/s) (m) f

0 sm!"

ITERAC: 12 's+!+ !, 0.1


(m) (lps) (m3/s) (m) f

0 sm!"

aij

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a

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(m) (lps) (m3/s) (m) f

0 sm!"

ITERAC: 13 's+!+ !, 0.1


(m) (lps) (m3/s) (m) f

0 sm!"


(m) (lps) (m3/s) (m) f

0 sm!"

ITERAC: 14 's+!+ !, 0.1


(m) (lps) (m3/s) (m) f

0 sm!"


(m) (lps) (m3/s) (m) f

0 sm!"

ITERAC: 15 's+!+ !, 0.1


(m) (lps) (m3/s) (m) f

0 sm!"


(m) (lps) (m3/s) (m) f

a

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0 sm!"

ITERAC: 16 's+!+ !, 0.1


(m) (lps) (m3/s) (m) f

0 sm!"


(m) (lps) (m3/s) (m) f

0 sm!"

C#RC RAO L(m) (lps) (m3/s) D(m) f(m) S

# 0.40

0.40

0.40

## 0.40

0.40

0.40

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f/ f 2.000E066 2

DO HARDY CROSS

N= 2

aij"#ij" aij"#ij"#ij #ij

(m3/s) (lps)

40.66 14.231 -0.006241 0.343$6 343.$60

1$.42 -2.613 -0.006241 -0.15624 -156.240

34.%5 -10.455 -0.006241 -0.02145% -0.32$$0 -32$.$00

&2.&3 1.16


(m3/s) (lps)

34.%5 10.455 0.02145% 0.006241 0.32$6&& 32$.6&&

5.%1 0.2&1 0.02145% 0.0$145% $1.45%

40.66 -14.231 0.02145% -0.32%542 -32%.542

%1.32 -3.4&

N= 2

aij"#ij" aij"#ij"#ij #ij(m3/s) (lps)

3&.%5132 13.$00%% 0.00%1%2 0.351&% 351.&%000

1%.105%1 -2.%2%13 0.00%1%2 -0.14%02 -14%.02000

3$.&%510 -12.44$$2 0.00%1%2 0.003135 -0.3163% -316.3%000

&5.&4 -1.5$


(m3/s) (lps)

3%.0$ 12.4$6 -0.003135 -0.00%1%2 0.3163%3 316.3%3

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Datos conocido1. Longitud$ di2. &astos 'ue(e desea saber:

). Los gastos4. Las cargas

+asos a seguir1. Diisi*n de

conocidos2. +rimera est

será ositirecorrido d). ultilicac

absoluto en4. ultilicac

del rimeratribuido al

!. (uma alge

6. (uma absol;. La correcci

todos los tr". n tramos

correccione


8/114

%.31 0.5&4 -0.003135 0.06%365 6%.365

3%.16 -12.536 -0.003135 -0.331635 -331.635

%4.54 0.53

N" 2


(m3/s) (lps)

40.%& 14.3&3 -0.001213 0.350$%$ 350.$%$

1$.1& -2.544 -0.001213 -0.14&213 -14&.213

36.$4 -11.621 -0.001213 -0.003605 -0.32111% -321.11%

&4.%2 0.23


(m3/s) (lps)

36.$5 11.62% 0.003605 0.001213 0.32121% 321.21%

$.&5 0.544 0.003605 0.0$2005 $2.005

3%.52 -12.$$3 0.003605 -0.32$&&5 -32$.&&5

%3.22 -0.60

N" 2


(m3/s) (lps)

40.$5 14.2&5 0.001415 0.352215 352.215

1$.33 -2.5%6 0.001415 -0.14$$%5 -14$.$%5

3$.30 -11.&$$ 0.001415 0.00053$ -0.31&14% -31&.14%

&5.3% -0.2$


(m3/s) (lps)

3$.31 11.&%4 -0.00053$ -0.001415 0.31&24% 31&.24%%.36 0.602 -0.00053$ 0.0$1463 $1.463

3%.10 -12.4&$ -0.00053$ -0.32%53$ -32%.53$

%3.$$ 0.0&

N" 2


(m3/s) (lps)

40.&1 14.40& -0.000210 0.351&&0 351.&&0

1$.1$ -2.53% -0.000210 -0.14%010 -14%.010

3$.0$ -11.%2& -0.000210 -0.00065% -0.31&&6% -31&.&6%

&5.15 0.04


(m3/s) (lps)

3$.0% 11.%36 0.00065% 0.000210 0.32006% 320.06%

%.31 0.5&4 0.00065% 0.0$215% $2.15%

3%.16 -12.536 0.00065% -0.32$%42 -32$.%42

%3.55 -0.11

#

#

#

#

#

#


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N= 2


(m3/s) (lps)

40.%& 14.3&3 0.000210 0.35221 352.210

1$.1& -2.544 0.000210 -0.14$$& -14$.$&0

3$.1$ -11.%&4 0.000210 0.000000 -0.31&$& -31&.$&0

&5.25 -0.04


(m3/s) (lps)

3$.1$ 11.%&4 0.000000 -0.000210 0.31&$&0 31&.$&0

%.36 0.602 0.000000 0.0$2000 $2.000

3%.10 -12.4&$ 0.000000 -0.32%000 -32%.000

%3.63 0.00

N= 2

aij"#ij" aij"#ij"#ij #ij(m3/s) (lps)

3&.%5132 13.$00%% 0.00%1%2 0.351&% 351.&%000

1%.105%1 -2.%2%13 0.00%1%2 -0.14%02 -14%.02000

3$.&%510 -12.44$$2 0.00%1%2 0.003135 -0.3163% -316.3%000

&5.&4 -1.5$


(m3/s) (lps)

3%.0$ 12.4$6 -0.003135 -0.00%1%2 0.3163%3 316.3%3

%.31 0.5&4 -0.003135 0.06%365 6%.365

3%.16 -12.536 -0.003135 -0.331635 -331.635%4.54 0.53

N" 2


(m3/s) (lps)

40.%& 14.3&3 -0.001213 0.350$%$ 350.$%$

1$.1& -2.544 -0.001213 -0.14&213 -14&.213

36.$4 -11.621 -0.001213 -0.003605 -0.32111% -321.11%

&4.%2 0.23


(m3/s) (lps)

36.$5 11.62% 0.003605 0.001213 0.32121% 321.21%

$.&5 0.544 0.003605 0.0$2005 $2.005

3%.52 -12.$$3 0.003605 -0.32$&&5 -32$.&&5

%3.22 -0.60

N" 2


(m3/s) (lps)

#

#

#

#

#

#

#


10/114

40.$5 14.2&5 0.001415 0.352215 352.215

1$.33 -2.5%6 0.001415 -0.14$$%5 -14$.$%5

3$.30 -11.&$$ 0.001415 0.00053$ -0.31&14% -31&.14%

&5.3% -0.2$


(m3/s) (lps)

3$.31 11.&%4 -0.00053$ -0.001415 0.31&24% 31&.24%

%.36 0.602 -0.00053$ 0.0$1463 $1.463

3%.10 -12.4&$ -0.00053$ -0.32%53$ -32%.53$

%3.$$ 0.0&

N" 2


(m3/s) (lps)

40.&1 14.40& -0.000210 0.351&&0 351.&&0

1$.1$ -2.53% -0.000210 -0.14%010 -14%.010

3$.0$ -11.%2& -0.000210 -0.00065% -0.31&&6% -31&.&6%

&5.15 0.04


(m3/s) (lps)

3$.0% 11.%36 0.00065% 0.000210 0.32006% 320.06%

%.31 0.5&4 0.00065% 0.0$215% $2.15%

3%.16 -12.536 0.00065% -0.32$%42 -32$.%42

%3.55 -0.11


(m3/s) (lps)

0.00 0.00


(m3/s) (lps)

0.00 0.0000

N" 2


(m3/s) (lps)

0.00 0.00

#

#

#


11/114


(m3/s) (lps)

0.00 0.0000

N" 2


(m3/s) (lps)

0.00 0.00


(m3/s) (lps)

0.00 0.0000

N" 2


(m3/s) (lps)

0.00 0.00


(m3/s) (lps)

0.00 0.0000

N" 2


(m3/s) (lps)

0.00 0.00


(m3/s) (lps)


12/114

0.00 0.0000

N" 2


(m3/s) (lps)

0.00 0.00


(m3/s) (lps)

0.00 0.0000

A(m2) (m/s)


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: ámetro % rugosidad de los tubos.

ntran o salen de la red.

e todos los tramos e resi*n en los nudos de la red.

ara la el cálculo en la tabla au,iliar: la red en circuitos elementales. egistro de los alores

calculo de las constantes a. maci*n del gasto en todos los tramos. l gasto de sera ositio

o si estima 'ue sigue el sentido de las manecillas del relo3 en ell circuito % negatio en caso contrario.i*n de los alores de a or los gastos corresondientes en alorel rimer circuito.i*n de los roductos a5 or los gastos $ corresondientesircuito$ obteniendo la 7rdida 8$ cu%o signo corresonde algasto .raica de 89 aii en el rimer circuito.Ʃ Ʃ

uta de los alores aii en el rimer circuiton resulta de la siguiente ecuaci*n % se anota con su signo enmos de un mismo circuito.

ue ertenecen a dos circuitos se deben de agregar lass 'ue resulten del siguiente circuito$ con signo contrario

e los siguientes circuitos se 8ace en la =orma indicada en los8asta terminar la rimera etaa de distribuci*n de toda la red.

uma de los gastos estimados$ mas las correcciones$ % se reali>aetaa en la misma =orma.

inali>a cuando las correcciones ? alcancen el grado deeseado.


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Documents

Formato Hardy Cross