GATE ME 2019 Set 1 — Question 52
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Machine Design → Static & Dynamic Loading → Mohr's Circle
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Question
At a critical point in a component, the state of stress is given as MPa, MPa, MPa and all other stress components are zero. The yield strength of the material is 468 MPa. The factor of safety on the basis of maximum shear stress theory is ________ (round off to one decimal place).
Correct answer
1.7 to 1.9
Solution
Given state of stress:
MPa
MPa
MPa
Yield strength, MPaStep 1: Calculate principal stresses and . MPa
MPa
Since it's a 2D state of stress and both are positive, .Step 2: Calculate maximum shear stress .Step 3: Apply Maximum Shear Stress Theory (Tresca Criterion).
According to Tresca theory, yielding occurs when .The factor of safety is 1.8.
MPa
MPa
MPa
Yield strength, MPaStep 1: Calculate principal stresses and . MPa
MPa
Since it's a 2D state of stress and both are positive, .Step 2: Calculate maximum shear stress .Step 3: Apply Maximum Shear Stress Theory (Tresca Criterion).
According to Tresca theory, yielding occurs when .The factor of safety is 1.8.
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