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A boom of \( 500 \) mm\( ^2 \) sits \( 100 \) mm from the neutral axis. Its transfer term in the second moment of area is

  • A.5.0e6 mm^4
  • B.5.0e4 mm^4
  • C.5.0e7 mm^4
  • D.2.5e6 mm^4

Answer: A

Correct answer: 5.0e6 mm^4

The transfer term is \[ Ay^2 = 500 \times 100^2 = 5.0\times10^6\ \mathrm{mm^4}. \] The square on the distance is why the booms furthest from the neutral axis dominate the section, and why the boom’s own centroidal second moment is negligible beside it.

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