In a cantilever carrying a uniformly varying load starting from zero at the free end, the shear force diagram is
A)A horizontal line parallel to x-axis
B)A line inclined to x-axis
C)Follows a parabolic law
D)Follows a cubic law

Question

Quizplus · Accepted Answer

The shear force diagram for a cantilever beam carrying a uniformly varying load (UVL) starting from zero at the free end follows a parabolic law. This is because the shear force at any section of the beam is equal to the area of the load diagram up to that section, and since the load varies linearly (uniformly varying), the shear force varies as the square of the distance from the free end (parabolically).

In a Cantilever Carrying a Uniformly Varying Load Starting from Zero