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Consider a beam AB  with fixed-end supports at both of its ends, the maximum number of support reactions which can develop in the said case is ______. Consider that the beam is subjected to an inclined force of magnitude P kN. 
  • a)
    6
  • b)
    3
  • c)
    5
  • d)
    4
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Consider a beam AB with fixed-end supports at both of its ends, the ma...
Fixed support in 2D for a beam has three support reactions one moment, one horizontal reaction, and one vertical reaction if it is subjected to inclined force.
The given beam has both ends fixed and hence, a total number of support reactions can develop 6 (3 for each fixed support) as shown in the figure:

On the other hand, if any beam fixed at both ends, is subjected to vertical loading then each fixed support has generally two support reactions – one moment, and one vertical reaction as shown in the following figure:
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Consider a beam AB with fixed-end supports at both of its ends, the ma...
Number of Support Reactions in a Fixed-End Beam
Support reactions are the forces and moments exerted by a support on a structure to keep it in equilibrium. In the case of a fixed-end beam, the maximum number of support reactions that can develop can be determined by considering the constraints imposed by the fixed supports.

Analysis of Support Reactions
- For a fixed-end beam, each fixed support can provide up to 3 reaction components - 1 vertical force, 1 horizontal force, and 1 moment.
- Since there are 2 fixed-end supports in this case, the total number of support reactions that can develop is 2 fixed-end supports x 3 reaction components per support = 6 support reactions.

Conclusion
Therefore, the maximum number of support reactions that can develop in a fixed-end beam with fixed-end supports at both ends is 6. This is because each fixed support can provide up to 3 reaction components, resulting in a total of 6 support reactions for the beam. Hence, option 'A' (6) is the correct answer.
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