Answer to Question #168731 in Physics for Pushpo

Question

What a cantilever? Obtain the expression for the depression produced at its free end when the weight of the beam is negligible.  

Answer 1

A cantilever is a rigid structural element that extends horizontally and is supported at only one end. Typically it extends from a flat vertical surface such as a wall, to which it must be firmly attached. Like other structural elements, a cantilever can be formed as a beam, plate, truss, or slab.

When subjected to a structural load at its far, unsupported end, the cantilever carries the load to the support where it applies a shear stress and a bending moment.

Cantilever construction allows overhanging structures without additional support.

$$y=\frac{WL^3}{3YI_g}$$

I_g is the geometrical moment of inertia of the section.  Y is Young's Modulus. W is weight. L is length.