GATE_AE_2027_MOCK_05_Q32 GATE 2027 Aerospace Engineering All-India Master Mock 05 (High-Yield Comprehensive Grand Finale) NAT · 1 Mark
Aerospace Structures • Strength of Materials & Elasticity • Bending Stresses in Aircraft Beams

A rectangular wing spar cap of width b = 50 mm and depth h = 100 mm has second moment of area I_{xx} about its horizontal neutral axis. What is I_{xx} in mm^4?

Answer Key:
4166667

Step-by-Step Verified Solution

### Solution: I_{xx} = (b * h^3) / 12 = (50 * 100^3) / 12 = 50000000 / 12 ≈ 4166666.67 ≈ 4166667 mm^4. Correct: 4166667 (range 4150000 to 4180000).
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