Discussion
A crack of \( 5 \) mm sits in a field of \( 100 \) MPa with a geometry factor of \( 1.12 \). Its stress intensity is nearest to
Answer: B
Correct answer: 14.0 MPa root m
\[ K = Y\sigma\sqrt{\pi a} = 1.12 \times 100 \times \sqrt{\pi \times 0.005} = 1.12 \times 100 \times 0.1253 = 14.0\ \mathrm{MPa}\sqrt{\mathrm{m}}. \] Note the crack length must be in metres for the answer to come out in the usual units - using millimetres here is the commonest arithmetic slip in the subject.
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