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Four booms of \( 400 \) mm\( ^2 \) sit at the corners of a box \( 200 \) mm deep. The idealised second moment of area about the horizontal axis is

  • A.6.4e7 mm^4
  • B.1.6e7 mm^4
  • C.3.2e7 mm^4
  • D.8.0e6 mm^4

Answer: B

Each boom lies \( 100 \) mm from the axis, so \( I = 4 \times 400 \times 100^2 = 1.6 \times 10^7 \) mm\( ^4 \). Adding effective skin areas to each boom would raise this, which is precisely why the effective width matters.

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