GATE ME 2017 Set 2 — Question 37
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Machine Design → Static & Dynamic Loading → Theories of Failure
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Question
The principal stresses at a point in a critical section of a machine component are MPa, MPa and MPa. For the material of the component, the tensile yield strength is MPa. According to the maximum shear stress theory, the factor of safety is
Correct answer
(B) 2.00
Solution
According to the maximum shear stress theory (Tresca criterion), yielding occurs when the maximum shear stress reaches the shear yield strength of the material.Given MPa, MPa, and MPa:The design condition is:
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