Hardy-Cross Solution to example problem
2-loops (6 pipes)
Lng (ft) Dia. (ft)  
AB K'= 306 AB 2500 0.33  
BD K'= 7.7 BC 3500 0.42
DE K'= 5.7 DC 6000 0.50
EA K'= 368 BD 2000 0.67 Key
BC K'= 140 ED 1500 0.67 f= 0.02
CD K'= 97 AE 3000 0.33 Q= 25 cfs
DB K'= 7.7
Loop 1 Loop 2 Loop 1 Loop 2 Corrected Loop 1 Corrected Loop 2
Iteration Qa-b Qb-d Qd-e Qe-a Qb-c Qc-d Qdb correction correction Qa-b Qb-d Qd-e Qe-a Qb-c Qc-d Qdb
1 0.70 0.40 0.30 0.80 0.30 0.70 0.40 0.08 0.16 0.78 0.32 0.22 0.72 0.46 0.54 0.32
2 0.78 0.32 0.22 0.72 0.46 0.54 0.32 0.00 -0.01 0.78 0.33 0.22 0.72 0.45 0.55 0.33
3 0.78 0.33 0.22 0.72 0.45 0.55 0.33 0.00 0.00 0.78 0.33 0.22 0.72 0.45 0.55 0.33
4 0.78 0.33 0.22 0.72 0.45 0.55 0.33 0.00 0.00 0.78 0.33 0.22 0.72 0.45 0.55 0.33
Hardy-Cross Solution to example problem
2-loops (6 pipes)
Lng (ft) Dia. (ft)  
AB K'= 306 AB 2500 0.33  
BD K'= 7.7 BC 3500 0.42
DE K'= 5.7 DC 6000 0.50
EA K'= 368 BD 2000 0.67  
BC K'= 140 ED 1500 0.67 f= 0.02
CD K'= 97 AE 3000 0.33      
DB K'= 7.7
Loop 1 Loop 2 Loop 1 Loop 2 Corrected Loop 1 Corrected Loop 2
Iteration Qa-b Qb-d Qd-e Qe-a Qb-c Qc-d Qdb correction correction Qa-b Qb-d Qd-e Qe-a Qb-c Qc-d Qdb
1 0.70 0.40 0.30 0.80 0.30 0.70 0.40 0.08 0.16 0.78 0.32 0.22 0.72 0.46 0.54 0.32
2 0.78 0.32 0.22 0.72 0.46 0.54 0.32 0.00 -0.01 0.78 0.33 0.22 0.72 0.45 0.55 0.33
3 0.78 0.33 0.22 0.72 0.45 0.55 0.33 0.00 0.00 0.78 0.33 0.22 0.72 0.45 0.55 0.33
4 0.78 0.33 0.22 0.72 0.45 0.55 0.33 0.00 0.00 0.78 0.33 0.22 0.72 0.45 0.55 0.33