Current Attempt in Progress

The pin$-$connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar $(1)$ is a bronze alloy

$108$GPa with a cross$-$sectional area of $A_1=250m{m}^2.$ Bar $(2)$ is an aluminum alloy $E=70$GPa with a cross$-$sectional area of $A_2=570$

$m{m}^2.$ All bars are unstressed before the load $P$ is applied; however, there is a $4-mm$ clearance in the pin connection at $A.$ Assume $L_1=$

$2200mm,a=1000mm,b=600mm,c=470mm,$ and $L_2=1590mm.$ If a load of $P=102kN$ is applied at $B,$ determine

$($a$)$ the normal stresses in both bars $(1)$ and $(2).$

$($b$)$ the downward deflection of point A on the rigid bar.