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Mechanical Engineering QUESTION #2553
Question 1
The second moment of area of a rectangle \(b \times h\) about its centroidal axis parallel to \(b\) is:
  • \(\dfrac{bh^3}{3}\)
  • \(\dfrac{b^3h}{12}\)
  • \(\dfrac{bh^3}{12}\)✔️
  • \(\dfrac{bh^2}{6}\)
Correct Answer Explanation
The centroidal second moment about the horizontal centroidal axis of a rectangle is \(\bar{I}_x=\frac{bh^3}{12}\). The value \(\frac{bh^3}{3}\) is about the base (bottom edge), obtained by the parallel-axis theorem.