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A section with \( I_{yy} = 4 \times 10^6 \) and \( I_{xy} = 2 \times 10^6 \) mm\( ^4 \) carries a moment about the x axis only. Its neutral axis is inclined to the x axis at

  • A.26.6 degrees
  • B.63.4 degrees
  • C.45.0 degrees
  • D.22.5 degrees

Answer: A

Setting the direct stress to zero gives \( \tan\alpha = I_{xy}/I_{yy} = 2/4 = 0.5 \), so \( \alpha = 26.6^\circ \). The neutral axis is therefore not horizontal even though the moment is applied about the horizontal axis, which is the signature of unsymmetric bending.

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