Discuss the factors on which the bending of a centrally loaded rectangular beam supported at its ends depends on.

Explanation

A simply supported beam at its ends bends under a central load W at its centre by an amount `delta` given by
`delta=(Wl^(3))/(4Y bh^(3))`
where Y is Young's modulus of the material of the beam of length l and reactangular cross section, with breadth b and height (thickness) h. The distance l is the distance between the two supports at its ends.
The sag (depression) `delta` produced in a loaded beam depends upon the material of the beam, the dimensions of the beam and the applied load.
`therefore delta prop W and l^(3)`
Also, `delta prop (1)/(Y), (1)/(b) and (1)/(h^(3))`