Discussion
For a cantilever beam subjected to a uniformly distributed load (UDL) along its length, the shape of the bending moment diagram is:
Answer: C
For a cantilever carrying a uniformly distributed load over its whole length the bending moment diagram is parabolic. At a distance x from the free end the bending moment is \[ M = -\frac{wx^{2}}{2} \] which is a quadratic function of x, so the diagram is a parabola. A point load would give a linear diagram, and an elliptical shape does not arise from this loading.
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