Negative Bending Moment Essay

CANTILEVER:

A cantilever is a rigid structural element, such as a beam or a plate, anchored at only one end to a (usually vertical) support from which it is extended. This could also be a perpendicular connection to a flat vertical surface such as a wall. Cantilevers can also be constructed with trusses or slabs. When a cantilever is subjected to a structural loading, it transfers the load to the support where it is forced against by a moment and shear stress.

 Moment of force is the tendency of a force to twist or rotate an object.

 Shear stress is defined as a stress which is applied parallel to the face of a material.

What Is The Cantilever Beam?

CANTILEVER BEAM

Cantilever beam can be defined as a beam which is supported on only

Very simple to construct.

2. Only one fixed support is required, support on the opposite side is not required.

3. This types of beams create a negative bending moment, which can help to counteract a positive bending moment created elsewhere. This is particularly helpful in cantilevers with a back span where a uniform load on the back span creates positive bending, but a uniform load on the cantilever creates negative bending

4. The span can be greater than that of a simple beam, because a beam can be added to the cantilever arms.

5. Because the beam is resting simply on the arms, thermal expansion and ground movement are fairly simple to sustain.

6. Cantilever beams are very rigid, due to their depth.

“Disadvantages Of Cantilever Beam:”

1. Large deflections.

2. Generally results in larger moments.

3. You either need to have a fixed support, or have a back span and check for uplift of the far support.

4. when the beam is loaded at one end, the moment at the fixed end is higher, if more load is applied, it can break free from the support.

Maximum Force, Bending Moment And Deflection in A Cantilever Beam Bearing A Single Load:

Maximum Reaction Force

Max Reaction Force at the fixed end can be expressed