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The second moment of area of a rectangle about its own centroidal axis parallel to the base is

  • A.Breadth times depth cubed, divided by twelve
  • B.Breadth times depth cubed, divided by three
  • C.Breadth cubed times depth, divided by twelve
  • D.Breadth times depth squared, divided by six

Answer: A

The familiar result follows from integrating the square of the distance across the depth. About the base rather than the centroid the divisor becomes three, which is exactly what the parallel axis theorem gives when the transfer term is added.

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