GATE ME 2022 Set 2 — Question 18
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Machine Design → Static & Dynamic Loading → Stress & Strain
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Question
A structural member under loading has a uniform state of plane stress which in usual notations is given by , and , where . The yield strength of the material is 350 MPa. If the member is designed using the maximum distortion energy theory, then the value of at which yielding starts (according to the maximum distortion energy theory) is
Correct answer
(A) 70 MPa
Solution
According to the Maximum Distortion Energy Theory (Von Mises Criterion) for plane stress, yielding starts when:Given:
MPaSubstituting the values:Taking the square root on both sides:Thus, yielding starts at MPa.
MPaSubstituting the values:Taking the square root on both sides:Thus, yielding starts at MPa.
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