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Two principal second moments of area of a section are always

  • A.Equal to the product of inertia
  • B.The extreme values over all orientations
  • C.Equal to each other
  • D.Both zero

Answer: B

As the axes rotate the second moments trace out a Mohr's circle, and the principal values sit at its extremes where the product of inertia vanishes. Every other orientation gives values between them, so bending is stiffest about one principal axis and softest about the other.

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