# What is the deflection of cantilever beam at its free end?

## What is the deflection of cantilever beam at its free end?

The maximum deflection in cantilever beam of span “l”m and loading at free end is “W” kN. Explanation: Maximum deflection occurs at free end distance between centre of gravity of bending moment diagram and free end is x = 2l/3. Maximum deflection (y) = Ax/EI = Wl3/3EI.

What is the deflection of a cantilever?

Cantilever beams have one end fixed, so that the slope and deflection at that end must be zero.

How do you use beam deflection formula?

There is a range of beam deflection formulas and equations that can be used to calculate a basic value for deflection in different types of beams. Generally, deflection can be calculated by taking the double integral of the Bending Moment Equation, M(x) divided by EI (Young’s Modulus x Moment of Inertia).

### What is the difference between deflection and bending?

As nouns the difference between bending and deflection is that bending is a motion or action that bends while deflection is the act of deflecting or something deflected. As a verb bending is (bend).

Where is the maximum deflection in beam?

For cantilevered beams, the maximum deflection will occur when the load is located at the free end of the beam , while for simply supported beams, maximum deflection will occur when the load is located in the center of the beam.

What are the effects of beam deflection?

Excessive deflection of beams can cause damages and cracking to partitions and finishes. It can also impair the appearance of the building and cause great concern to the occupants of the building.

## What is deflection used for in the design of beams?

Beam deflection means the state of deformation of a beam from its original shape under the work of a force or load or weight. One of the most important applications of beam deflection is to obtain equations with which we can determine the accurate values of beam deflections in many practical cases.

05/12/2019