GATE ME 2019 Set 2 — Question 16
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Strength of Materials → Stress, Strain & Elastic Constants → Elastic Constants & Poisson's Ratio
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Question
Consider a linear elastic rectangular thin sheet of metal, subjected to uniform uniaxial tensile stress of 100 MPa along the length direction. Assume plane stress conditions in the plane normal to the thickness. The Young's modulus GPa and Poisson's ratio are given. The principal strains in the plane of the sheet are
Correct answer
(C) (0.5, -0.15)
Solution
Given:
MPa, (uniaxial stress)
GPa MPa
Using generalized Hooke's law for plane stress:Assuming the options are scaled by , the principal strains are .
MPa, (uniaxial stress)
GPa MPa
Using generalized Hooke's law for plane stress:Assuming the options are scaled by , the principal strains are .
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