What will be the shape of the bending moment diagram for a cantilever beam carrying a uniformly distributed load throughout its length?

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RRB JE ME 22 Apr 2025 Shift 2 CBT 2 Official Paper
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  1. Cubical
  2. A straight line
  3. A parabola
  4. A hyperbola

Answer (Detailed Solution Below)

Option 3 : A parabola
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Detailed Solution

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Explanation:

Cantilever beam carries a uniformly distributed load:

Shear force:

SFxx = wx

Shear force diagram is a triangle with zero at the free end and WL at the fixed end ∴ it is linear.

Bending Moment:

\(B{M_{xx}} = w\frac{{{x^2}}}{2}\)

Bending moment at any section is proportional to the square of the distance of the section from the free end. This follows a parabolic shape.

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