A thin walled spherical shell is subjected to an internal pressure.If the radius of the shell is increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same. What is the percentage change in the circumferential (hoop) stress.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.2.11P: The polyethylene liner of a settling pond is subjected to stresses ax= 350 psi. a = 112 psi. and =...
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A thin walled spherical shell is subjected to an internal pressure.If the radius of the shell is increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same. What is the percentage change in the circumferential (hoop) stress. 

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