A cantilever beam AB of length 'I' is subjected to a downward load 'P' at its free end and an upward load 'P' at a distance of 'x' from the free end. The shear force will be ________.

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  1. equal to P, between the two point loads
  2. equal to P/2, only at the free end
  3. equal to 2P, only at the free end
  4. equal to 2P, between the two point loads

Answer (Detailed Solution Below)

Option 1 : equal to P, between the two point loads
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Concept:

F2 ENG Savita 22-8-24 D1

Shear Force Calculations:

Shear Force at Free End:

\(\text{Shear force at free end} = P \)

Shear Force at a Distance x:

\(\text{Shear force at distance } x = P \)

Therefore, the shear force between the two point loads will be equal to P.

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