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A rectangular section \( 50 \) mm wide and \( 150 \) mm deep has a centroidal second moment of area of

  • A.1.13e8 mm^4
  • B.1.41e7 mm^4
  • C.5.63e7 mm^4
  • D.3.52e6 mm^4

Answer: B

Using \( bh^3/12 \), the numerator is \( 50 \times 150^3 = 50 \times 3.375 \times 10^6 = 1.6875 \times 10^8 \), and dividing by 12 gives \( 1.406 \times 10^7 \) mm\( ^4 \). Taking the axis at the base instead would divide by 3 and give four times as much.

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