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Prandtl's membrane analogy compares the torsion problem to

  • A.A vibrating string
  • B.Heat flow through a plate
  • C.A soap film over a hole of that shape
  • D.A beam in pure bending

Answer: C

The governing equations for the stress function and for a lightly stretched membrane under pressure are identical. The slope of the film gives the shear stress and twice the volume beneath it gives the torque, which makes the analogy a powerful way of reasoning about awkward sections without solving anything.

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