If we require constructing ILD of vertical support at a pin joint, then according to muller-Breslau principle, by which type of support should it be replaced?

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BPSC AE Paper 5 (Civil) 14 Oct 2022 Official Paper
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  1. Roller guide
  2. Pin roller
  3. Fixed support 
  4. Hinge

Answer (Detailed Solution Below)

Option 1 : Roller guide
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Detailed Solution

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Explanation:
According to the Müller-Breslau Principle, to construct an Influence Line Diagram (ILD) for a reaction or internal force, the structure is modified to show the deflected shape under the respective influence.

- When constructing the ILD for a vertical reaction at a pin joint, the Müller-Breslau Principle dictates that the pin support should be replaced by a roller guide
- This roller guide will allow the support to move freely in the horizontal direction while still resisting vertical forces, which helps in visualizing how vertical reactions change as a load moves across the structure.

This transformation models the system’s behavior under varying loads and accurately reflects the influence on the vertical reaction at the pin joint.

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