SSC JE Mechanical Engineering 2015 Paper

Question : 132 of 200

Marks: +1, -0

Volumetric strain of a rectangular body subjected to an axial force, in terms of linear strain e and Poisson’s ratio µ, is equal to

Solution:

Volumetric strain
Case I: when a single direction force or stress applied

{ΔV}/V=ε(1-2µ)\or=σ/ε(1-2/m)

Case II: when 3-D force applied

{ΔV}/V={3σ}/E(1-2/m)\or=3ε(1-2µ)

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