A member has an applied stress of \( 150 \) MPa and a margin of safety of \( 0.20 \). Its allowable is
Answer: A
Correct answer: 180 MPa
Rearranging the margin definition,
\[ \text{allowable} = \text{applied} \times (1 + MS) = 150 \times 1.20 = 180 \ \mathrm{MPa} \]Adding 20 per cent of the allowable instead of the applied, or subtracting, gives the wrong figure - the margin is always taken on the applied stress, which is the denominator of the ratio.
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