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The product of inertia of a section vanishes when

  • A.The section is closed
  • B.The section is made of a single material
  • C.The section has at least one axis of symmetry
  • D.The section is thin-walled

Answer: C

Symmetry about either reference axis makes the integral of the product of coordinates cancel in pairs, so the product of inertia is zero and the reference axes are principal axes. An unsymmetric section such as a Z or an angle has a non-zero value and needs the general bending theory.

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