For which of the following beam conditions is the degree of redundancy 2?

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HPCL Engineer (Civil) 04 Nov 2022 Official Paper
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  1. Fixed beam with half the beam under vertical uniform distributed load.
  2. One end is fixed the other is free beam with half the beam under vertical uniform varying load. 
  3. Cantilever beam with half the beam under verticalpoint load. 
  4. Simply supported beam with full the beam under moment.

Answer (Detailed Solution Below)

Option 1 : Fixed beam with half the beam under vertical uniform distributed load.
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Detailed Solution

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Explanation:

Type of Connection Reaction Number of Unknowns

Fixed support

Three - The reactions are two forces (1 horizontal and 1 vertical) and a moment

But for the given fixed beam, there is only vertical loading, of there will be no horizontal reaction and hence the number of unknown in the given case will be 2 (vertical reaction and moment)

Weight legs link

One - The reaction is a force that acts in the direction of the link

Rollers

One - The reaction is a force that act perpendicular to the surface at point of contact.

Pin or Hinge

Two - The reaction are two force components

Guided rollar/ Fixed connected collar

Two - The reactions are a force and a moment

 

   

Pin connected collar

One - The reaction is a force that acts perpendicular to the surface at the point of contact

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