A steel penstock 60 cm in diameter has a shell thickness of 1.2 cm. The modulus of elasticity of the pipe shell material is 2.1 x 106 kgf/cm2 (2.1 x 105 N/mm2) with Poisson's ratio of 1/4, and the volume modulus of elasticity of water is 2.1 x 10 kgf/cm² (2.1x 103 N/mm²). The pipe is designed to discharge water at mean velocity of 2.1 m/ sec. Determine the water hammer pressure rise caused by sudden closure of the valve at the downstream end; (1) neglecting the elasticity of the pipe material; and (2) considering also the elasticity of the pipe material.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A steel penstock 60 cm
in diameter has a shell
thickness of 1.2 cm.
The modulus of
elasticity of the pipe
shell material is 2.1 x
106 kgf/cm2 (2.1 x 105
N/mm2) with Poisson's
ratio of 1/4, and the
volume modulus of
elasticity of water is 2.1
x 10 kgf/cm² (2.1x 103
N/mm²).
The pipe is designed
to discharge water at
mean velocity of 2.1 m/
sec.
Determine the water
hammer pressure rise
caused by sudden
closure of the valve at
the downstream end;
(1) neglecting the elasticity
of the pipe material; and
(2) considering also the
elasticity of the pipe material.
Transcribed Image Text:A steel penstock 60 cm in diameter has a shell thickness of 1.2 cm. The modulus of elasticity of the pipe shell material is 2.1 x 106 kgf/cm2 (2.1 x 105 N/mm2) with Poisson's ratio of 1/4, and the volume modulus of elasticity of water is 2.1 x 10 kgf/cm² (2.1x 103 N/mm²). The pipe is designed to discharge water at mean velocity of 2.1 m/ sec. Determine the water hammer pressure rise caused by sudden closure of the valve at the downstream end; (1) neglecting the elasticity of the pipe material; and (2) considering also the elasticity of the pipe material.
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