GATE ME 2014 Set 2 — Question 21
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Strength of Materials → Stress, Strain & Elastic Constants → Stress & Strain
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Question
A thin plate of uniform thickness is subject to pressure as shown in the figure below
Under the assumption of plane stress, which one of the following is correct?

Correct answer
(A) Normal stress is zero in the z-direction
Solution
In a plane stress condition, the stress components in the direction perpendicular to the plane (the -direction in this case) are assumed to be zero because the plate is thin and the surfaces are free of load. Therefore, , , and .
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