GATE_AE_2027_MOCK_03_Q65 GATE 2027 Aerospace Engineering All-India Master Mock 03 (Flight Dynamics, Controls & Space Trajectories) NAT · 2 Marks
Aerospace Structures • Aerospace Materials & Fatigue • Stress Concentrations & Fracture Mechanics

A wide aerospace aluminum panel contains a central through-crack of length 2a = 40 mm (half-crack length a = 0.02 m). Under tensile stress \sigma = 150 MPa, what is the Mode I stress intensity factor K_I in MPa*\sqrt{m}? (Take \pi \approx 3.1416, round off to one decimal place).

Answer Key:
37.6

Step-by-Step Verified Solution

### Solution: K_I = \sigma * sqrt(\pi * a) = 150 * sqrt(3.1416 * 0.02) = 150 * sqrt(0.062832) = 150 * 0.25066 ≈ 37.6 MPa*sqrt(m). Correct: 37.6 (range 37.2 to 38.0).
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