8/17/2019 Ejemplo 02 - Hardy Cross.xls

1/12

tramo d L

1

I

A - B 10 0.6

B - E 6 0.9E - F 6 0.6

F - A 9 0.9

tramo d L

II

B - C 8 0.6

C - D 6 0.9

E - D 8 0.6

B - E 6 0.9

tramo d L

2

I

A - B 10 0.6

B - E 6 0.9

E - F 6 0.6

F - A 9 0.9

tramo d L

II

B - C 8 0.6

C - D 6 0.9

E - D 8 0.6

B - E 6 0.9

tramo d L

I

A - B 10 0.6

B - E 6 0.9

E - F 6 0.6

F - A 9 0.9

8/17/2019 Ejemplo 02 - Hardy Cross.xls

2/12

3

tramo d L

II

B - C 8 0.6

C - D 6 0.9

E - D 8 0.6

B - E 6 0.9

tramo d L

4

I

A - B 10 0.6

B - E 6 0.9

E - F 6 0.6

F - A 9 0.9

tramo d L

II

B - C 8 0.6

C - D 6 0.9

E - D 8 0.6

B - E 6 0.9

tramo d L

5

I

A - B 10 0.6

B - E 6 0.9

E - F 6 0.6

F - A 9 0.9

tramo d L

II

B - C 8 0.6

C - D 6 0.9

E - D 8 0.6

B - E 6 0.9

8/17/2019 Ejemplo 02 - Hardy Cross.xls

3/12

tramo d L

6

I

A - B 10 0.6

B - E 6 0.9

E - F 6 0.6

F - A 9 0.9

tramo d L

II

B - C 8 0.6

C - D 6 0.9

E - D 8 0.6

B - E 6 0.9

tramo d L

7

I

A - B 10 0.6

B - E 6 0.9

E - F 6 0.6

F - A 9 0.9

tramo d L

II

B - C 8 0.6

C - D 6 0.9

E - D 8 0.6

B - E 6 0.9

8/17/2019 Ejemplo 02 - Hardy Cross.xls

4/12

S

C sigo ! !"1.85 #0.000426$C%"-1.85

150 1 45 1144.0 162.12

150 1 22 304.4 162.12150 -1 15 149.9 162.12

150 -1 45 1144.0 162.12

S

C sigo ! !"1.85 #0.000426$C%"-1.85

150 1 23 330.5 162.1150790514

150 1 23 330.5 162.1150790514

150 -1 37 796.5 162.1150790514

150 -1 22 304.4 162.1150790514

S

C sigo ! !"1.85 #0.000426$C%"-1.85

150 1 42.68 1037.4 162.1150790514

150 1 18.88 229.5 162.1150790514

150 -1 17.32 195.5 162.1150790514

150 -1 47.32 1255.4 162.1150790514

S

C sigo ! !"1.85 #0.000426$C%"-1.85

150 1 23.80 352.1 162.1150790514

150 1 23.80 352.1 162.1150790514

150 -1 36.20 764.9 162.1150790514

150 -1 18.88 229.5 162.1150790514

S

C sigo ! !"1.85 #0.000426$C%"-1.85

150 1 43.07 1054.9 162.1150790514

150 1 20.17 259.3 162.1150790514

150 -1 16.93 187.5 162.1150790514

150 -1 46.93 1236.5 162.1150790514

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S

C sigo ! !"1.85 #0.000426$C%"-1.85

150 1 22.90 327.8 162.1150790514

150 1 22.90 327.8 162.1150790514

150 -1 37.10 800.6 162.1150790514

150 -1 20.17 259.3 162.1150790514

S

C sigo ! !"1.85 #0.000426$C%"-1.85

150 1 42.62 1034.6 162.1150790514

150 1 19.57 245.2 162.1150790514

150 -1 17.38 196.9 162.1150790514

150 -1 47.38 1258.6 162.1150790514

S

C sigo ! !"1.85 #0.000426$C%"-1.85

150 1 23.05 331.8 162.1150790514

150 1 23.05 331.8 162.1150790514

150 -1 36.95 794.6 162.1150790514

150 -1 19.57 245.2 162.1150790514

S

C sigo ! !"1.85 #0.000426$C%"-1.85

150 1 42.69 1037.9 162.1150790514

150 1 19.82 251.0 162.1150790514

150 -1 17.31 195.3 162.1150790514

150 -1 47.31 1254.9 162.1150790514

S

C sigo ! !"1.85 #0.000426$C%"-1.85

150 1 22.87 327.1 162.1150790514

150 1 22.87 327.1 162.1150790514

150 -1 37.13 801.5 162.1150790514

150 -1 19.82 251.0 162.1150790514

8/17/2019 Ejemplo 02 - Hardy Cross.xls

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S

C sigo ! !"1.85 #0.000426$C%"-1.85

150 1 42.61 1034.0 162.1150790514

150 1 19.70 248.3 162.1150790514

150 -1 17.39 197.1 162.1150790514

150 -1 47.39 1259.2 162.1150790514

S

C sigo ! !"1.85 #0.000426$C%"-1.85

150 1 22.90 327.9 162.1150790514

150 1 22.90 327.9 162.1150790514

150 -1 37.10 800.4 162.1150790514

150 -1 19.70 248.3 162.1150790514

S

C sigo ! !"1.85 #0.000426$C%"-1.85

150 1 42.62 1034.6 162.1150790514

150 1 19.75 249.4 162.1150790514

150 -1 17.38 196.8 162.1150790514

150 -1 47.38 1258.5 162.1150790514

S

C sigo ! !"1.85 #0.000426$C%"-1.85

150 1 22.87 327.0 162.1150790514

150 1 22.87 327.0 162.1150790514

150 -1 37.13 801.7 162.1150790514

150 -1 19.75 249.4 162.1150790514

8/17/2019 Ejemplo 02 - Hardy Cross.xls

7/12

d"-4.87 S &' &' (o sigo &')! *!

1.3490E-05 2.50 1.50 1.50 0.03 -2.32

0.00016 8.01 7.21 7.21 0.33   -3.120.00016 3.94 2.37 -2.37 0.16 -2.32

2.25E-05 4.18 3.76 -3.76 0.08 -2.32

+ 2.58 0.60

d"-4.87 S &' &' &')! *!

0.00003999 2.14 1.29 1.29 0.06 0.80

0.0001623317 8.70 7.83 7.83 0.34 0.80

0.00003999 5.16 3.10 -3.10 0.08 0.80

0.0001623317 8.01 7.21 -7.21 0.33   3.12

+ -1.19 0.81

d"-4.87 S &' &' (o sigo &')! *!

1.3489628826E-005 2.27 1.36 1.36 0.03 0.39

0.0001623317 6.04 5.43 5.43 0.29   1.29

0.0001623317 5.15 3.09 -3.09 0.18 0.39

0.000022534 4.59 4.13 -4.13 0.09 0.39+ -0.42 0.59

d"-4.87 S &' &' &')! *!

0.00003999 2.28 1.37 1.37 0.06 -0.90

0.0001623317 9.27 8.34 8.34 0.35 -0.90

0.00003999 4.96 2.98 -2.98 0.08 -0.90

0.0001623317 6.04 5.43 -5.43 0.29   -1.29

+ 1.30 0.78

d"-4.87 S &' &' (o sigo &')! *!

1.3489628826E-005 2.31 1.38 1.38 0.03 -0.45

0.0001623317 6.82 6.14 6.14 0.30   -0.60

0.0001623317 4.93 2.96 -2.96 0.17 -0.45

0.000022534 4.52 4.07 -4.07 0.09 -0.45

8/17/2019 Ejemplo 02 - Hardy Cross.xls

8/12

+ 0.50 0.60

d"-4.87 S &' &' &')! *!

0.00003999 2.13 1.28 1.28 0.06 0.15

0.0001623317 8.63 7.76 7.76 0.34 0.15

0.00003999 5.19 3.11 -3.11 0.08 0.15

0.0001623317 6.82 6.14 -6.14 0.30   0.60

+ -0.22 0.78

d"-4.87 S &' &' (o sigo &')! *!

1.3489628826E-005 2.26 1.36 1.36 0.03 0.07

0.0001623317 6.45 5.81 5.81 0.30   0.25

0.0001623317 5.18 3.11 -3.11 0.18 0.07

0.000022534 4.60 4.14 -4.14 0.09 0.07

+ -0.08 0.59

d"-4.87 S &' &' &')! *!

0.00003999 2.15 1.29 1.29 0.06 -0.17

0.0001623317 8.73 7.86 7.86 0.34 -0.17

0.00003999 5.15 3.09 -3.09 0.08 -0.17

0.0001623317 6.45 5.81 -5.81 0.30   -0.25

+ 0.25 0.78

d"-4.87 S &' &' (o sigo &')! *!

1.3489628826E-005 2.27 1.36 1.36 0.03 -0.09

0.0001623317 6.60 5.94 5.94 0.30   -0.12

0.0001623317 5.14 3.08 -3.08 0.18 -0.09

0.000022534 4.58 4.13 -4.13 0.09 -0.09

+ 0.10 0.60

d"-4.87 S &' &' &')! *!

0.00003999 2.12 1.27 1.27 0.06 0.03

0.0001623317 8.61 7.75 7.75 0.34 0.03

0.00003999 5.20 3.12 -3.12 0.08 0.03

0.0001623317 6.60 5.94 -5.94 0.30   0.12

+ -0.04 0.78

8/17/2019 Ejemplo 02 - Hardy Cross.xls

9/12

d"-4.87 S &' &' (o sigo &')! *!

1.3489628826E-005 2.26 1.36 1.36 0.03 0.01

0.0001623317 6.53 5.88 5.88 0.30   0.05

0.0001623317 5.19 3.11 -3.11 0.18 0.01

0.000022534 4.60 4.14 -4.14 0.09 0.01

+ -0.02 0.60

d"-4.87 S &' &' &')! *!

0.00003999 2.13 1.28 1.28 0.06 -0.03

0.0001623317 8.63 7.77 7.77 0.34 -0.03

0.00003999 5.19 3.11 -3.11 0.08 -0.03

0.0001623317 6.53 5.88 -5.88 0.30   -0.05

+ 0.05 0.78

d"-4.87 S &' &' (o sigo &')! *!

1.3489628826E-005 2.26 1.36 1.36 0.03 -0.02

0.0001623317 6.56 5.91 5.91 0.30   -0.02

0.0001623317 5.18 3.11 -3.11 0.18 -0.02

0.000022534 4.60 4.14 -4.14 0.09 -0.02

+ 0.02 0.60

d"-4.87 S &' &' &')! *!

0.00003999 2.12 1.27 1.27 0.06 0.01

0.0001623317 8.61 7.75 7.75 0.34 0.01

0.00003999 5.20 3.12 -3.12 0.08 0.01

0.0001623317 6.56 5.91 -5.91 0.30   0.02

+ -0.01 0.78

8/17/2019 Ejemplo 02 - Hardy Cross.xls

10/12

! Corr,gido *! -2.32

42.68

18.88-17.32

-47.32

! Corr,gido *! 0.80

23.80

23.80

-36.20

-18.88

! Corr,gido *! 0.39

43.07

20.17

-16.93

-46.93

! Corr,gido *! -0.90

22.90

22.90

-37.10

-20.17

! Corr,gido *! -0.45

42.62

19.57

-17.38

-47.38

8/17/2019 Ejemplo 02 - Hardy Cross.xls

11/12

! Corr,gido *! 0.15

23.05

23.05

-36.95

-19.57

! Corr,gido *! 0.07

42.69

19.82

-17.31

-47.31

! Corr,gido *! -0.17

22.87

22.87

-37.13

-19.82

! Corr,gido *! -0.09

42.61

19.70

-17.39

-47.39

! Corr,gido *! 0.03

22.90

22.90

-37.10

-19.70

8/17/2019 Ejemplo 02 - Hardy Cross.xls

12/12

! Corr,gido *! 0.01

42.62

19.75

-17.38

-47.38

! Corr,gido *! -0.03

22.87

22.87

-37.13

-19.75

! Corr,gido *! -0.02

42.60

19.73

-17.40

-47.40

! Corr,gido *! 0.01

22.87

22.87

-37.13

-19.73