The shear force and bending moment are zero at the free end of a canti...
From SFD and BMD Diagram, we can conclude that shear force and Bending moment both are zero when cantilever beam is subjected to uniformly distributed load.
View all questions of this test
The shear force and bending moment are zero at the free end of a canti...
Explanation:
A cantilever beam is a structure that is supported on one end and free on the other end. It is subjected to different types of loads and moments that affect its shear force and bending moment. Let's discuss the effect of different types of loads on a cantilever beam.
a) Point load at the free end:
When a point load is applied at the free end of a cantilever beam, it creates a shear force and bending moment at that point. The shear force is equal to the magnitude of the point load, and the bending moment is equal to the product of the point load and the distance between the point load and the support. At the support end, the shear force is equal to the point load, and the bending moment is zero. Therefore, the shear force and bending moment are not zero at the free end of a cantilever beam when a point load is applied.
b) Moment at the free end:
When a moment is applied at the free end of a cantilever beam, it creates a shear force and bending moment at every point along the beam. The shear force is zero throughout the length of the beam, and the bending moment is linearly varying from zero at the support end to the magnitude of the moment at the free end. Therefore, the shear force is zero, but the bending moment is not zero at the free end of a cantilever beam when a moment is applied.
c) Uniformly distributed load over the whole length:
When a uniformly distributed load is applied over the whole length of a cantilever beam, it creates a shear force and bending moment at every point along the beam. The shear force is linearly varying from zero at the support end to the magnitude of the total load at the free end, and the bending moment is parabolically varying from zero at the support end to the maximum value at the midpoint of the beam and then decreasing to zero at the free end. Therefore, the shear force and bending moment are zero at the free end of a cantilever beam when a uniformly distributed load is applied.
d) None of the above:
As explained above, the shear force and bending moment are not zero at the free end of a cantilever beam when a point load or moment is applied. Therefore, option 'D' is not correct.
Conclusion:
The correct option is 'C' because when a uniformly distributed load is applied over the whole length of a cantilever beam, the shear force and bending moment are zero at the free end.