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The principal axes of a cross-section are the axes about which

  • A.The second moment of area is zero
  • B.The area is a maximum
  • C.The centroid lies furthest from the wall
  • D.The product of inertia is zero

Answer: D

Rotating the reference axes changes the second moments and the product of inertia, and at one particular orientation the product vanishes. Those are the principal axes, and about them the second moments take their maximum and minimum values and simple bending theory applies again.

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