$1.$ The maximum required load on the compound beam shown below is to be designed in this problem. Beam $\backslash ($ A B C $\backslash ),$ found to have an internal hinge at $\backslash ($ B $\backslash ),$ is supported by a fixed support at A and a roller support at C$.$ Beam DEF then supports beam ABC and is supported by a pin at F$.$ Beam DEF rests on a smooth surface at section DE$.$ If the flexural and shear stresses on both beams are limited to $70$ MPa and $25$ MPa $,$ respectively, solve for the maximum allowable value of P $.$ The cross$-$sections of both beams are shown. $($Hint: Draw separate shear and bending moment diagram for each beam.$)[19\mathrm{.}0437$ kN$]$

Provide the complete solutions for determining the reactions of the two beams, along with the shear and bending moment diagrams for each beam. Ensure all computations are carried out using the Area Method.