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A wing box section has an allowable of \( 240 \) MPa and an applied stress of \( 260 \) MPa. Its margin of safety is

  • A.0.92
  • B.-0.08
  • C.0.08
  • D.1.08

Answer: B

Correct answer: -0.08

Applying the definition,

\[ MS = \frac{240}{260} - 1 = 0.923 - 1 = -0.077 \approx -0.08 \]

The negative sign means the member is overloaded at its design condition and must be strengthened or the load reduced. However small, a negative margin cannot be accepted - the factor of safety is already in the applied load, so there is no further reserve behind it.

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