Q$2($a$)$ Draw a uniform cross section beam with axial loading and derive the equation relates to strain energy.

$(10$ marks$)$

$($b$)$ The A$36$ structural steel beam is subjected by loads as shown in figure q$2($a$).$ The materials modulus of elasticity is $210$ GPa $,$ beams cross sectional area A $11000m{m}^2$ and $Ix=94\mathrm{.}7(10{)}^{6}m{m}^4.$ Determine the total axial and bending strain energy developed in beam.

$(15$ marks$)$