A cylindrical thin-walled pressure vessel with radius r, wall thickness t, Poisson's ratio v, and modulus of elasticity E, is subjected to internal pressure p. Find the change in radius of the cylinder due to longitudinal loading only.

A cylindrical thin-walled pressure vessel with radius r, wall thickness t, Poisson's ratio v, and modulus of elasticity E, is subjected to internal pressure p. Find the change in radius of the cylinder due to longitudinal loading only.

Fundamentals of Geotechnical Engineering (MindTap Course List)

5th Edition

ISBN:9781305635180

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter7: Seepage

Section: Chapter Questions

Problem 7.1P

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Question

A cylindrical thin-walled pressure vessel with radius r, wall thickness t,
Poisson's ratio v, and modulus of elasticity E, is subjected to internal
pressure p. Find the change in radius of the cylinder due to longitudinal
loading only.

2pr2
a)
Et
(1-)
b)
Et
pr2
(1-)
2.
2pr2
c)
Et
(1+)
(1+)
pr2
d)
Et

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