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In a multi-cell closed section under torsion, the compatibility condition applied is that

  • A.Every cell must carry the same shear flow
  • B.Every cell must have the same enclosed area
  • C.Every wall must have the same thickness
  • D.Every cell must have the same rate of twist

Answer: D

The cells are joined along their common webs and cannot twist independently, so equating the rates of twist supplies the extra equations needed. Together with the torque equilibrium equation, the system can then be solved for each cell's shear flow.

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