GATE_AE_2027_MOCK_03_Q64 GATE 2027 Aerospace Engineering All-India Master Mock 03 (Flight Dynamics, Controls & Space Trajectories) MCQ · 2 Marks
Aerospace Structures • Aerospace Materials & Fatigue • Stress-Strain Behavior & Failure Theories

The Maximum Shear Stress theory (Tresca criterion) predicts yielding when the maximum shear stress equals:

(A) \sigma_y / 2
(B) \sigma_y
(C) \sigma_y / \sqrt{3}
(D) \sqrt{2} \sigma_y
Answer Key:
A

Step-by-Step Verified Solution

### Solution: Under uniaxial tension, au_{max} = \sigma_y / 2. Therefore Tresca predicts yielding when au_{max} reaches \sigma_y / 2. Correct: A.
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