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GATE ME 2016 Set 1 — Question 48

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MCQ+2 / -0.67MediumTheories of FailureStatic & Dynamic LoadingMachine Design

Machine Design → Static & Dynamic Loading → Theories of Failure

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The principal stresses at a point inside a solid object are σ1=100 MPa\sigma_1 = 100\text{ MPa}, σ2=100 MPa\sigma_2 = 100\text{ MPa} and σ3=0 MPa\sigma_3 = 0\text{ MPa}. The yield strength of the material is 200 MPa200\text{ MPa}. The factor of safety calculated using Tresca (maximum shear stress) theory is nTn_T and the factor of safety calculated using von Mises (maximum distortional energy) theory is nVn_V. Which one of the following relations is TRUE?
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