Question

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Water flows through the pipe as shown in the below figure. Determine the net tension in the bolts if minor losses are neglected and the wheels on which the pipe rests are frictionless. Please clearly show the steps of the trial & error method. Bolts 50 mm 10 m Cast Iron 20 m 30 m

Answer 1

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Solution properties of water at 20°c Taking P= 998.2 Kg/m3 M = 1.002% 10 3 NS m2 PA + V² + ZA = + + Zo the → Applying Bernoullis equation point A and B Pe Ve ² 89 39 29 Here, VA=0, PA = PB =0 ZA = 10m , V=V ZA=0, oto+10= or v² the 29 he 0 10 - v2 29 → Hedd 1988 due to friction, (h.) fLv2 ago hi

FLV ² v² ago zg See (1+) = 10 friction factor f = 0.03 V 2 ag Let us assume 12 (1 + 0.03 X 50 ) = 10 50x10 3 2x9.81 V = 215158 m/s -> calculate the Reynold number Re) Re = SVD = 998.2 X 2,5158 X 50X10-3 1.002x 10-3 The = = 125310-800/

E = 0.26mm (too cult Iyon) 0.26 TO who who = 512X103 at Re=12 125310.8001 chart from Moddy and € = 512X10-3 + 0.03 f = 0.03147 Obrein fer not differ from Assumed - Bernoullis equation blu A and c Pc +V2 te the PA sg + VA TZA = 29 89 zg Vo = Vc =V, PA=0 ZA=10m, Ze=0

Otot 10 - Pc 998.2 X 9.81 + (2.5158) ? Х 2x9.81 X (1+010315 850 0:05 Pc = - 3162.2919 N/m 2 F = PC XA F = 3162.2919 X X (50X10-3)? F = 6.20915N