GATE ME 2021 Set 2 — Question 35
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Strength of Materials → Stress, Strain & Elastic Constants → Elastic Constants & Poisson's Ratio
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Question
A steel cubic block of side is subjected to hydrostatic pressure of . The elastic modulus is and Poisson ratio is for steel. The side of the block is reduced by ________ (round off to two decimal places).
Correct answer
0.08 to 0.12
Solution
Given:
Side of the cubic block,
Hydrostatic pressure,
Elastic modulus,
Poisson's ratio, For a cubic block under hydrostatic pressure, the linear strain in any direction is given by:Substituting the given values:The side of the block is reduced by .
Side of the cubic block,
Hydrostatic pressure,
Elastic modulus,
Poisson's ratio, For a cubic block under hydrostatic pressure, the linear strain in any direction is given by:Substituting the given values:The side of the block is reduced by .
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