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Composite beams of two materials are analysed in bending by

  • A.Ignoring the stiffer material
  • B.Averaging the two Young's moduli
  • C.Treating each material as a separate beam
  • D.Transforming one material into the other

Answer: D

Multiplying the width of one material by the ratio of the moduli produces an equivalent section of a single material with the same stiffness distribution. Ordinary bending theory then applies, and the stresses in the transformed material are scaled back by the same ratio at the end.

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