GATE ME 2021 Set 2 — Question 27
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Machine Design → Static & Dynamic Loading → Theories of Failure
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Question
The von Mises stress at a point in a body subjected to forces is proportional to the square root of the
Correct answer
(D) distortional strain energy per unit volume
Solution
The von Mises stress is defined based on the maximum distortion energy theory. The distortion energy per unit volume is given by:The von Mises stress is defined as:Comparing these two expressions, we find that . Thus, the von Mises stress is proportional to the square root of the distortional strain energy per unit volume.
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