Elongation of a bar due to its Own weight

Analysis of a hanging beam:

A BAR HANGING

Let AB is the rod hanging from a ceiling from the end A.

                     Then let, W= Unit weight of the bar,

                                    L= length of bar,

                                   A=Area of cross section,

                                    E= Young's modulus for the bar material

Then elongation of the bar is given by delta ( l )

Formula of Elongation of a body due to its self weight.