GATE ME 2022 Set 1 — Question 52
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Strength of Materials → Stress, Strain & Elastic Constants → Elastic Constants & Poisson's Ratio
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Question
A thin-walled cylindrical pressure vessel has mean wall thickness of and nominal radius of . The Poisson’s ratio of the wall material is . When it was subjected to some internal pressure, its nominal perimeter in the cylindrical portion increased by and the corresponding wall thickness became . The corresponding change in the wall thickness of the cylindrical portion, i.e. , is ________% (round off to 3 decimal places).
Correct answer
-0.062
Solution
For a thin-walled cylindrical pressure vessel:
1.Circumferential strain (hoop strain) is given by:
where and .Given .2.Radial strain (thickness strain) is given by:
3.Taking the ratio of to :
4.Substituting :
5.Percentage change in wall thickness:
The value is .Continue learning with Success Tracker
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