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A wing box has caps of \( 1200 \) mm\( ^2 \) top and bottom, separated by \( 300 \) mm. Neglecting the webs, its second moment of area is

  • A.5.4e7 mm^4
  • B.1.08e8 mm^4
  • C.2.7e7 mm^4
  • D.3.6e6 mm^4

Answer: A

Each cap lies \( 150 \) mm from the neutral axis, so \( I = 2 \times 1200 \times 150^2 = 2 \times 1200 \times 22\,500 = 5.4 \times 10^7 \) mm\( ^4 \). Adding the webs would raise this only slightly, since they sit close to the neutral axis where they contribute little.

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