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The parallel axis theorem states that the second moment of area about a parallel axis equals

  • A.The centroidal value times the square of the offset
  • B.The centroidal value divided by the square of the offset
  • C.The centroidal value plus the area times the square of the offset
  • D.The centroidal value plus the area times the offset

Answer: C

Shifting the reference axis away from the centroid adds a transfer term equal to the area times the square of the distance moved. For a thin-walled section built from booms far from the centroid, that transfer term dominates and the members' own centroidal inertias are often neglected entirely.

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