Show me the steps to solve $(35\%)$ A frame is given with fixed support at A$,$ hinge support at D and internal hinges at B and C$.$

The frame is loaded with vertical load $q$ and lateral load $P.$ The beam of the frame is made from $3$ different

materials with different moduli of elasticity $E_1,E_2$ and $E_3,$ where $E_1=5E_2,E_3=10E_1.$

$($i$)$ Define the maximum stresses in the beam $($at which point: $1,2,3,4)$ of the cross$-$section for $b=0\mathrm{.}20m,$

$h1=h2=h3=0\mathrm{.}20m,q=100k\frac{N}{m},l=5m.(20\%)$

$($ii$)$ If load $P$ changes direction and gets a magnitude equal to $150$ kN $,$ what should be the ratio $\frac{h_p}{h_r},$ so that

there are no compressive stresses in the beam.