GATE ME 2015 Set 2 — Question 17
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Strength of Materials → Stress, Strain & Elastic Constants → Relation Among Elastic Constants
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Question
A rod is subjected to a uni-axial load within linear elastic limit. When the change in the stress is MPa, the change in the strain is . If the Poisson’s ratio of the rod is , the modulus of rigidity (in GPa) is ________
Correct answer
76 to 78
Solution
Given:
Change in stress, MPa
Change in strain,
Poisson's ratio, First, calculate Young's Modulus ():The relationship between Young's Modulus (), Modulus of Rigidity (), and Poisson's ratio () is:Rearranging to solve for :The modulus of rigidity is approximately GPa.
Change in stress, MPa
Change in strain,
Poisson's ratio, First, calculate Young's Modulus ():The relationship between Young's Modulus (), Modulus of Rigidity (), and Poisson's ratio () is:Rearranging to solve for :The modulus of rigidity is approximately GPa.
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