Question

A cantilever beam carrying a point load at free end, BM at fixed end is:

• A. Zero
• B. PL
• C. PL/2
• D. Maximum at mid-span

Hint:

For cantilever beams with point loads, remember that the bending moment increases linearly from the free end to the fixed end, where it reaches its maximum value.

Answer 1

The Correct Option is B

For a cantilever beam carrying a point load \( P \) at the free end, the bending moment (BM) at any point along the beam is given by: \[ M = P \times x \] where \( x \) is the distance from the fixed end. 
At the fixed end, the distance is zero, so the bending moment at the fixed end is: \[ M_{{fixed}} = P \times L = PL \] where \( L \) is the length of the beam. 
At the free end, the bending moment is zero because the load is applied at that point. Therefore, the bending moment at the fixed end is \( PL \).
Thus, the correct answer is PL  at the fixed end of the cantilever beam.