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Mechanical Engineering QUESTION #2540
Question 1
The parallel-axis (Steiner) theorem gives the second moment of area about an axis parallel to the centroidal axis as:
  • \(I=\bar{I}-Ad^2\)
  • \(I=\bar{I}\cdot d^2\)
  • \(I=\bar{I}+Ad^2\)✔️
  • \(I=\frac{\bar{I}}{Ad^2}\)
Correct Answer Explanation
Steiner's theorem: \(I=\bar{I}+Ad^2\), where \(\bar{I}\) is the centroidal second moment, \(A\) is the area, and \(d\) is the perpendicular distance between the axes. The second moment always increases for axes away from the centroid.