When a cantilever beam is loaded with concentrated loads, the bending moment diagram will be a

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UKPSC JE Civil 8 May 2022 Official Paper-I
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  1. Horizontal straight line 
  2. Vertical straight line 
  3. Inclined straight line 
  4. Parabolic curve 

Answer (Detailed Solution Below)

Option 3 : Inclined straight line 
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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).

RRB JE ME SOM 3 1234

Taking moments about the section:

M = \(-W~\times~x\)

The maximum bending moment occurs at the fixed end i.e. M = \(-W~\times~L\)

So, shear force and bending moment diagrams are rectangular and triangular respectively.

Additional Information Cantilever beam with uniformly distributed load:

RRB JE ME SOM 3 123

The shape of the shear force diagram is a triangle and the shape of the bending moment diagram is a parabola.

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