Problem $2$:

Rigid beam $AB$ rests on the two short posts shown in Fig. AC is made of

steel and has a diameter of $30$ mm $,$ and BD is made of aluminum and has

a diameter of $40$ mm $.$ Determine:

i $-$The deformation in each of the rods AC $,$ and BD

ii$-$ the displacement of point $F$ on $AB$ if a vertical load of $100$ kN is

applied over this point. Take Est $=210$GPa,Eal$=72$GPa.