The fixed support in a real beam becomes in the conjugate beam as

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BPSC AE Paper V Civil 19 Dec 2024 Official Paper
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  1. Free support
  2. Hinged support
  3. Roller support
  4. Fixed support

Answer (Detailed Solution Below)

Option 1 : Free support
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Detailed Solution

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Explanation:

  • In the conjugate beam method, the bending moment diagram of the real beam is treated as the load on the conjugate beam.

  • The support conditions in the conjugate beam change according to the boundary conditions of the real beam:

    • A fixed support in the real beam becomes a hinged support in the conjugate beam.

    • This is because a fixed end in the real beam (zero displacement and rotation) corresponds to a point in the conjugate beam where the slope is zero but rotation is allowed, like a hinge.

  • This transformation helps analyze beam deflections and rotations using simpler static analysis of the conjugate beam.

 Additional InformationTable depicting real beam and its corresponding conjugate beam: 

Screenshot 2025-06-04 182138

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