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Four stringers of \( 300 \) mm\( ^2 \) each sit at the corners of a box \( 0.5 \) m deep. Ignoring the skin, the second moment of area about the neutral axis is

  • A.1.5e-4 m^4
  • B.3.75e-5 m^4
  • C.7.5e-5 m^4
  • D.3.0e-4 m^4

Answer: C

Each of the four areas lies \( 0.25 \) m from the axis, so \( I = 4 \times 300 \times 10^{-6} \times 0.25^2 = 4 \times 3 \times 10^{-4} \times 0.0625 = 7.5 \times 10^{-5} \) m\( ^4 \). Booming off the stringers like this is the standard idealisation for a stiffened box.

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