When a cantilever is loaded with udl the maximum bending moment occurs at?

When a cantilever beam is loaded with a Uniformly Distributed Load (UDL), the maximum bending moment occurs at the fixed support or the point of fixation. In other Words, the point where the cantilever is attached to the wall or the ground experiences the highest bending moment.

A cantilever beam is a structural element that is fixed at one end and free at the other end. When a UDL is applied to the free end of the cantilever, the load is distributed uniformly along the length of the beam. As a result, the bending moment gradually increases from zero at the free end to its maximum value at the fixed support.

The bending moment at any section along the cantilever can be calculated using the following formula for a UDL:

Bending Moment (M) = (UDL × distance from support) × (length of the cantilever - distance from support)

At the fixed support, the distance from the support is zero, which means that the bending moment at that point is:

Maximum Bending Moment (Mmax) = UDL × length of the cantilever

Therefore, the maximum bending moment in a cantilever beam loaded with a UDL occurs at the fixed support. This information is essential for designing and analyzing cantilever structures to ensure they can withstand the applied loads without failure.