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Identify the INCORRECT statement about the conjugate beam theorem from the following.

  • A.It is derived from the moment area theorem.
  • B.It is useful in finding the deflection.
  • C.It is applicable even if a beam does not have the point of zero slope.
  • D.It is derived from the unit load method.

Answer: D

The statement that the conjugate beam theorem is derived from the unit load method is incorrect. The conjugate beam method comes from the moment-area theorems (the analogy between the load, shear and moment relations and the curvature, slope and deflection relations), so the first statement is true. It is used for finding slope and deflection and is applicable even where the beam has no point of zero slope, which is why it is more general than the moment-area method.

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