GATE_AE_2027_MOCK_04_Q31
GATE 2027 Aerospace Engineering All-India Master Mock 04 (Aerospace Structures, Thin-Walled Beams & Aeroelasticity)
MCQ · 1 Mark
Aerospace Structures • Strength of Materials & Elasticity • Plane Stress, Plane Strain & Mohr's Circle
In a state of pure shear stress au on an element, the principal stresses \sigma_1 and \sigma_2 are:
(A) \sigma_1 = + au, \sigma_2 = - au
(B) \sigma_1 = + au, \sigma_2 = + au
(C) \sigma_1 = 2 au, \sigma_2 = 0
(D) \sigma_1 = 0, \sigma_2 = 0
Answer Key:
A
Step-by-Step Verified Solution
### Solution: For pure shear (\sigma_x = 0, \sigma_y = 0, au_{xy} = au), Mohr's circle gives principal stresses \sigma_{1,2} = \pm au. Correct: A.