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That box is made of aluminium with \( G = 27 \) GPa. Its torsional rigidity is nearest to

  • A.6.08e6 N m^2
  • B.2.40e5 N m^2
  • C.3.04e6 N m^2
  • D.1.52e6 N m^2

Answer: C

Correct answer: 3.04e6 N m^2

\[ GJ = 27 \times 10^9 \times 1.125 \times 10^{-4} = 3.04 \times 10^6\ \mathrm{N\,m^2}. \] Torsional rigidity is simply the product of the material property and the geometric one, so a change of material scales it directly - substituting steel at 80 GPa would treble it, at three times the density.

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