The hardy cross method requires some parameters (i.e number of iterations to use
ID: 1710045 • Letter: T
Question
The hardy cross method requires some parameters (i.e number of iterations to use)
ok ,, what you need to know is ... f=0.01844 ... due to the same diameter for all pipes then f is the same no need to use moody's diagram.. about the number of iteration : what i'm looking for is for the delta Q to equal zero or some number around the zero like 0.001 .. here we have four loops we have to get the corrected Q for each of the four loops and do them one more time
just to make sure that we have an acceptable small value of delta Q
the answer is preferably tabulated !
Project Calculate the flow in each pipe of this commercial steel network. All pipes are 250mm 150 m 150 m 0.25 m3/s H 200m 0.29 m3/sExplanation / Answer
ITERATION 1 ITERATION 2 ITERATION 3 Loop ABFEA Diameter Loop ABFEA Diameter Loop ABFEA Diameter Pipe Sign Flow(m3/sec) dia of pipe(m) d^4.87 Length in (m) K=(L/(470 X d^4.87)) Q^1.85 Hl = K.Qa^1.85 Hl/Qa Corrected FLOW Pipe Sign Flow(m3/sec) dia of pipe(m) d^4.87 Length in (m) K=(L/(470 X d^4.87)) Q^1.85 Hl = K.Qa^1.85 Hl/Qa Corrected flow Pipe Sign Flow(m3/sec) dia of pipe(m) d^4.87 Length in (m) K=(L/(470 X d^4.87)) Q^1.85 Hl = K.Qa^1.85 Hl/Qa Corrected flow AB (+) 0.16 0.25 0.001169 100 182 0.034 6.13 38 -3 AB (-) 3 0.25 0.001169 100 182 7.633 -1388.70 463 3 AB (-) 3 0.25 0.001169 100 182 7.633 -1388.70 463 3 BF (+) 0.08 0.25 0.001169 150 273 0.009 2.55 32 0 BF (+) 0 0.25 0.001169 150 273 0.000 0.00 0 0.333 BF (+) 0.333 0.25 0.001169 150 273 0.131 35.69 0 0.661 FE (-) 0.26 0.25 0.001169 100 182 -0.083 -15.05 -58 0 FE (+) 0 0.25 0.001169 100 182 0.000 0.00 0 0.333 FE (+) 0.333 0.25 0.001169 100 182 -0.131 -23.79 0 0.661 EA (-) 0.16 0.25 0.001169 150 273 -0.034 -9.20 -57 0 EA (+) 0 0.25 0.001169 150 273 0.000 0.00 0 0.333 EA (+) 0.333 0.25 0.001169 150 273 -0.131 -35.69 0 0.661 -15.57 -45 -1388.70 463 -1412.49 463 Head loss 2.901379733 Head loss -0.33333 Head loss -0.32772 Loop BCGFB Diameter Loop BCGFB Diameter Loop BCGFB Diameter Pipe Sign Flow(m3/sec) dia of pipe(m) d^4.87 Length in (m) K=(L/(470 X d^4.87)) Q^1.85 Hl = K.Qa^1.85 Hl/Qa Corrected FLOW Pipe Sign Flow(m3/sec) dia of pipe(m) d^4.87 Length in (m) K=(L/(470 X d^4.87)) Q^1.85 Hl = K.Qa^1.85 Hl/Qa Corrected flow Pipe Sign Flow(m3/sec) dia of pipe(m) d^4.87 Length in (m) K=(L/(470 X d^4.87)) Q^1.85 Hl = K.Qa^1.85 Hl/Qa Corrected flow BC (+) 0.08 0.25 0.001169 100 182 0.009 1.70 21 -3 BC (-) 3 0.25 0.001169 100 182 7.633 1388.70 463 3 BC (+) 3 0.25 0.001169 100 182 7.633 1388.70 463 3 CG (+) 0.04 0.25 0.001169 150 273 0.003 0.71 18 0 CG (+) 0 0.25 0.001169 150 273 0.000 0.00 0 -0.333 CG (-) 0.333 0.25 0.001169 150 273 -0.131 -35.69 0 -0.025 GF (-) 0.34 0.25 0.001169 100 182 -0.136 -24.73 -73 0 GF (+) 0 0.25 0.001169 100 182 0.000 0.00 0 -0.333 GF (-) 0.333 0.25 0.001169 100 182 -0.131 -23.79 0 -0.025 FB (-) 0.08 0.25 0.001169 150 273 -0.009 -2.55 -32 0 FB (+) 0 0.25 0.001169 150 273 0.000 0.00 0 -0.333 FB (-) 0.333 0.25 0.001169 150 273 -0.131 -35.69 0 -0.025 -24.87 -66 1388.70 463 1293.53 463 Head loss 2.640336011 Head loss 0.333333 Head loss 0.357859 Loop CDJIC Diameter Loop CDJIC Diameter Loop CDJIC Diameter Pipe Sign Flow(m3/sec) dia of pipe(m) d^4.87 Length in (m) K=(L/(470 X d^4.87)) Q^1.85 Hl = K.Qa^1.85 Hl/Qa Corrected FLOW Pipe Sign Flow(m3/sec) dia of pipe(m) d^4.87 Length in (m) K=(L/(470 X d^4.87)) Q^1.85 Hl = K.Qa^1.85 Hl/Qa Corrected flow Pipe Sign Flow(m3/sec) dia of pipe(m) d^4.87 Length in (m) K=(L/(470 X d^4.87)) Q^1.85 Hl = K.Qa^1.85 Hl/Qa Corrected flow CD (+) 0.04 0.25 0.001169 100 182 0.003 0.47 12 -2 CD (-) 2 0.25 0.001169 100 182 3.605 655.90 328 2 CD (+) 20.308 0.25 0.001169 100 182 262.533 47765.96 2352 20 DJ (-) 0.24 0.25 0.001169 150 273 0.071 -19.47 -81 0 DJ (+) 0 0.25 0.001169 150 273 0.000 0.00 0 -0.308 DJ (-) 0.308 0.25 0.001169 150 273 0.113 -30.89 0 0.261 JI (-) 0.53 0.25 0.001169 100 182 -0.309 -56.21 -106 1 JI (+) 1 0.25 0.001169 100 182 -1.000 -181.94 -182 0.692 JI (+) 0.692 0.25 0.001169 100 182 -0.506 -92.07 -133 0.645 IC (-) 0.38 0.25 0.001169 150 273 -0.167 -45.56 -120 0 IC (+) 0 0.25 0.001169 150 273 0.000 0.00 0 -0.308 IC (-) 0.308 0.25 0.001169 150 273 -0.113 -30.89 0 0.261 -120.78 -295 473.96 146 47612.11 2219 Head loss 2.445048515 Head loss 0.308062 Head loss 0.046606 Loop EGIHE Diameter Loop EGIHE Diameter Loop EGIHE Diameter Pipe Sign Flow(m3/sec) dia of pipe(m) d^4.87 Length in (m) K=(L/(470 X d^4.87)) Q^1.85 Hl = K.Qa^1.85 Hl/Qa Corrected FLOW Pipe Sign Flow(m3/sec) dia of pipe(m) d^4.87 Length in (m) K=(L/(470 X d^4.87)) Q^1.85 Hl = K.Qa^1.85 Hl/Qa Corrected flow Pipe Sign Flow(m3/sec) dia of pipe(m) d^4.87 Length in (m) K=(L/(470 X d^4.87)) Q^1.85 Hl = K.Qa^1.85 Hl/Qa Corrected flow EG (+) 0.34 0.25 0.001169 100 182 0.136 24.73 73 -2 EG (-) 2 0.25 0.001169 100 182 3.605 655.90 328 2 EG (+) 2 0.25 0.001169 100 182 3.605 655.90 328 1 GI (+) 0.38 0.25 0.001169 150 273 0.167 45.56 120 0 GI (+) 0 0.25 0.001169 150 273 0.000 0.00 0 -0.500 GI (-) 0.5 0.25 0.001169 150 273 0.277 -75.70 0 -0.222 IH (-) 0.15 0.25 0.001169 100 182 -0.030 -5.44 -36 0 IH (+) 0 0.25 0.001169 100 182 0.000 0.00 0 -0.500 IH (-) 0.5 0.25 0.001169 100 182 -0.277 -50.47 0 -0.222 HE (-) 0.1 0.25 0.001169 150 273 -0.014 -3.86 -39 0 HE (+) 0 0.25 0.001169 150 273 0.000 0.00 0 -0.500 HE (-) 0.5 0.25 0.001169 150 273 -0.277 -75.70 0 -0.222 60.99 118 655.90 328 454.03 328 Head loss 1.931421441 Head loss 0.5 Head loss 0.72232
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.