GATE_AE_2027_MOCK_02_Q31 GATE 2027 Aerospace Engineering All-India Master Mock 02 (Compressible Aerodynamics & High-Speed Propulsion) MCQ · 1 Mark
Aerospace Structures • Strength of Materials & Elasticity • Plane Stress, Plane Strain & Mohr's Circle

At a point in an aircraft skin under plane stress, the principal stresses are $\sigma_1 = 120\text{ MPa}$ (tensile) and $\sigma_2 = -40\text{ MPa}$ (compressive). What is the maximum in-plane shear stress $\tau_{\max}$?

(A) $80\text{ MPa}$
(B) $40\text{ MPa}$
(C) $160\text{ MPa}$
(D) $60\text{ MPa}$
Answer Key:
A

Step-by-Step Verified Solution

### Solution: $\tau_{\max} = \frac{\sigma_1 - \sigma_2}{2} = \frac{120 - (-40)}{2} = \frac{160}{2} = 80\text{ MPa}$. Correct: A.
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