A 1.20 m-diameter(internal) horizontal steel penstock conveys water at the rate of 3.6 m3/s. The thickness of the pipe wall is 25 mm. The bulk modulus of elasticity of water is 2.2 GPa. The pipe has length of 1000 m and the friction factor is 0.020. The water surface elevation in the reservoir is 60 m. If the flow is stopped completely by closing the valve in 2 sec, determine the following: (a) the maximum water hammer pressure that can develop. (b) the maximum pressure at the valve. (c) the elongation of the pipe in mm (△=ForcexL/AE) for an almost instantaneous closure.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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 A 1.20 m-diameter(internal)
horizontal steel penstock conveys water at the rate of
3.6 m3/s. The thickness of the pipe wall is 25 mm. The
bulk modulus of elasticity of water is 2.2 GPa. The pipe
has length of 1000 m and the friction factor is 0.020. The
water surface elevation in the reservoir is 60 m. If the
flow is stopped completely by closing the valve in 2
sec, determine the following:
(a) the maximum water hammer pressure that can
develop.
(b) the maximum pressure at the valve.
(c) the elongation of the pipe in mm (△=ForcexL/AE) for
an almost instantaneous closure. 

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