Cantilever Beam | Bending Moment and Shear Force

What is Cantilever Beam?

A Cantilever Beam is a beam constrained at one end with the other end extending freely outwards. In other words, this beam is supported at one end and the other end is free that is it has no support.

Cantilever Beam, Deflection in Cantilever Beam
Fig 1.

In general, the cantilever is a beam in the form of a rectangular parallelepiped having a length (l), thickness (t), and width (w) or in the form of two beams connected at some angle. Generally, the beam transfers the load applied to the fixed end by bending.

Examples of cantilever we see in our daily life are the balconies in a building which are fixed at one end and unsupported at the other end.

In addition to this, some other examples of cantilevers are road directional signs, swimming pool diving boards, and basketball backboard.

Deflection diagram of Cantilever Beam

Cantilever Beam, Deflection in Cantilever Beam
Fig 2. Deflection Diagram

Bending Moment and Shear Force  Diagram

Bending Moment is the algebraic sum of moments about the centroidal axis of any selected section of all the loads acting up to that particular section.

On the other hand, Shear Force is the sum total of all the vertical forces acting on a particular section of the beam.

Generally, the diagrams for Bending Moment and Shear Force are plotted as shown in the diagram below:

Cantilever Beam, Deflection in Cantilever Beam
Fig 3. BM & SF Diagram


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