GATE CE 2022 Set 2 — Question 13
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Structural Engineering → Stress, Strain & Beams → Elastic Constants & Relations
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Question
For a linear elastic and isotropic material, the correct relationship among Young’s modulus of elasticity (), Poisson’s ratio (), and shear modulus () is
Correct answer
(A) G = (E)/(2(1 +))
Solution
For a linear elastic and isotropic material, the relationship between the elastic constants Young's modulus (), shear modulus (), and Poisson's ratio () is given by the formula:Rearranging this equation to solve for :Therefore, option (A) is the correct relationship.
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