Hardy Cross Example [PDF]

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Lesson #11: Pipe Networks Hardy Cross Example Pipe Network

First Guess

Solution

Hardy Cross Example Iteration

Loop

Pipe

r

Guess Qj

rQj|Q j |

2r|Q j |

Corrected Q Qj

1

1

AB BE ED DA

1 2 3 3

7.00 4.00 -3.00 -3.00

49.00 32.00 -27.00 -27.00

14.00 16.00 18.00 18.00

6.59 3.59 -3.41 -3.41



27.00

66.00

-0.41

Q

Iteration

Loop

Pipe

r

Qj

rQj|Q j |

2r|Q j |

1

2

BC CF FE EB

10 5 3 2

3.00 -1.00 -3.00 -3.59

90.00 -5.00 -27.00 -25.79

60.00 10.00 18.00 14.36



32.21

102.36

Iteration

Loop

Pipe

r

Guess Qj

2

1

AB BE ED DA

1 2 3 3

6.59 3.91 -3.41 -3.41

43.44 30.51 -34.87 -34.87

13.18 15.62 20.45 20.45



4.22

69.71

Qj 2.69 -1.31 -3.31 -3.91

-0.31

rQj|Q j |

2r|Q j |

Corrected Q Qj 6.53 3.85 -3.47 -3.47 -0.06

Iteration

Loop

Pipe

r

Qj

rQj|Q j |

2r|Q j |

2

2

BC CF FE EB

10 5 3 2

2.69 -1.31 -3.31 -3.85

72.11 -8.64 -32.96 -29.57

53.71 13.15 19.89 15.38



0.94

102.12

Q

Qj 2.68 -1.32 -3.32 -3.85

-0.01

Iteration

Loop

Pipe

r

Guess Qj

rQj|Q j |

2r|Q j |

Corrected Q Qj

3

1

AB BE ED DA

1 2 3 3

6.53 3.85 -3.47 -3.47

42.65 29.71 -36.11 -36.11

13.06 15.42 20.82 20.82

6.53 3.85 -3.47 -3.47



0.13

70.11

0.00

Q

Iteration

Loop

Pipe

r

Qj

rQj|Q j |

2r|Q j |

3

2

BC CF FE EB

10 5 3 2

2.68 -1.32 -3.32 -3.85

71.62 -8.76 -33.14 -29.68

53.52 13.24 19.94 15.41



0.03

102.11

Qj 2.68 -1.32 -3.32 -3.85

0.00