A cantilever beam with span length L m carries a point load ‘w’ N at the free end. What will be the value of the resisting bending moment at the fixed end?

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  1. Zero
  2. 2wL
  3. wL

Answer (Detailed Solution Below)

Option 4 : wL
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Detailed Solution

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Explanation:

Consider a cantilever of length l carries a concentrated load ‘w' at its free end:

∵ Reaction at the fixed end will be equal to the net load on the beam, i.e., W.

So, the shear force at the fixed end is W (Upward) and at the free end, it is W (downward).

Taking moments about the section:

M = 

The maximum bending moment occurs at the fixed end i.e. M = 

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