Question

A cantilever of span L carries a concentrated load W at its free end. Which of the following is true for this cantilever?

• A. Shear force will be zero at free end and increases linearly up to fixed end with the magnitude of W/2.
• B. Maximum bending moment will be WL at fixed end of the cantilever.
• C. Maximum bending moment will be WL at free end of the cantilever
• D. $Bending moment will be$\frac {WL^2}{2}$at fixed end of the Cantilever$

Answer 1

Answer:

B. Maximum bending moment will be WL at fixed end of the cantilever.

A cantilever beam of length L carrying a concentrated load W at its free end will have a rectangular shear force diagram with a maximum bending moment of WL at the fixed end. The maximum bending moment occurs at the fixed end because the reaction at the fixed end is equal to the net load on the beam. The bending moment diagram is triangular while the shear force diagram is rectangular for a cantilever beam with a uniformly distributed load.