GATE 2021 MT – Question 59
An infinite metal plate has a central through-thickness crack of full length $80/\pi$ mm. Its maximum mode-I applied stress is ______ MPa (nearest integer). Assume linear elastic fracture mechanics; $K_{IC}=20$ MPa·m$^{1/2}$.
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Correct answer: 98 to 102
Explanation
The specified full crack length is 2a=80/π mm, so a=0.04/π m. For an infinite plate KIC=σ√(πa)=0.2σ.
Hence σ=20/0.2=**100 MPa**.