Correct option is B
When a simply supported beam is subjected to a linearly varying load (triangular load), the shear force diagram indeed varies parabolically. This is because the shear force at any section is obtained by integrating the load distribution, which, in the case of a linearly varying load, results in a parabolic variation of shear force along the length of the beam.
Elliptic: Not typically associated with this load distribution.
Parabolic: Correct, as it represents the variation due to the integration of a linearly varying load.
3rd degree curve: Not applicable in this context.
Linear: Not correct, as it describes the variation of load, not shear force.
Therefore, the correct answer is (b) Parabolic.
