A water piping network is shown in Figure 2. Water is drawn off at certain nodes as indicated. Take only frictional head losses into account and use the Hardy-Cross method to calculate the flow rate in each pipe. Show the problem initialization (iteration 0) and the first iteration. Use as an initial guess the flow rate estimates in Table 1 below. QF B F G QG E QE Qc D Qo Pipe specifications: = 0.006 Pipe AB BC CD DE EF AF BG EG fFanning for all pipes Length (m) 20 30 25 25 30 20 25 25 Diam. (m) 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1

Structural Analysis
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Chapter2: Loads On Structures
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QUESTION 2
A water piping network is shown in Figure 2. Water is drawn off at certain nodes as
indicated. Take only frictional head losses into account and use the Hardy-Cross
method to calculate the flow rate in each pipe. Show the problem initialization (iteration
0) and the first iteration. Use as an initial guess the flow rate estimates in Table 1
below.
Node A
Flow
A
BA
AF
Node D
Flow
D
CD
ED
Node G
Flow
G
GB
GE
A
QA
a
B
F
Inflows
0.65
Inflows
0.20
0.30
0.50
Outflows
0.10
Figure 2
0.55
Outflows
Inflows Outflows
0.50
Qo
E
0.25
0.25
QE
Qc
Table 1: Initial flow rate estimates at nodes (m³/s)
Node B
Flow
CB
GB
BA
Node E
D
Flow
E
ED
EF
GE
Q₂
Inflows
0.40
0.25
Inflows
0.40
0.25
Pipe
Outflows
AB
BC
CD
DE
EF
AF
BG
EG
Pipe specifications:
fFanning = 0.006
for all pipes
0.65
Outflows
0.30
0.35
Length
(m)
20
30
25
25
30
20
25
25
Node C
Flow
с
CD
CB
Node F
Flow
F
AF
EF
Diam.
(m)
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
Inflows
0.60
Inflows
0.55
0.35
Page |3
Outflows
0.20
0.40
Outflows
0.90
Transcribed Image Text:QUESTION 2 A water piping network is shown in Figure 2. Water is drawn off at certain nodes as indicated. Take only frictional head losses into account and use the Hardy-Cross method to calculate the flow rate in each pipe. Show the problem initialization (iteration 0) and the first iteration. Use as an initial guess the flow rate estimates in Table 1 below. Node A Flow A BA AF Node D Flow D CD ED Node G Flow G GB GE A QA a B F Inflows 0.65 Inflows 0.20 0.30 0.50 Outflows 0.10 Figure 2 0.55 Outflows Inflows Outflows 0.50 Qo E 0.25 0.25 QE Qc Table 1: Initial flow rate estimates at nodes (m³/s) Node B Flow CB GB BA Node E D Flow E ED EF GE Q₂ Inflows 0.40 0.25 Inflows 0.40 0.25 Pipe Outflows AB BC CD DE EF AF BG EG Pipe specifications: fFanning = 0.006 for all pipes 0.65 Outflows 0.30 0.35 Length (m) 20 30 25 25 30 20 25 25 Node C Flow с CD CB Node F Flow F AF EF Diam. (m) 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 Inflows 0.60 Inflows 0.55 0.35 Page |3 Outflows 0.20 0.40 Outflows 0.90
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