GATE ME 2016 Set 3 — Question 43
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Strength of Materials → Stress, Strain & Elastic Constants → Elastic Constants & Poisson's Ratio
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Question
A square plate of dimension is subjected to a uniform pressure load MPa on its edges as shown in the figure. Assume plane stress conditions. The Young’s modulus GPa.
The deformed shape is a square of dimension . If m and m, the Poisson’s ratio of the plate material is __________
Correct answer
0.18 to 0.22
Solution
The change in length of the side is .
The normal strain in the and directions is:
Under plane stress conditions, the strain-stress relationship is:
Since uniform pressure is applied on all edges, MPa.
.
The normal strain in the and directions is:
Under plane stress conditions, the strain-stress relationship is:
Since uniform pressure is applied on all edges, MPa.
.
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