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

$98$GPa with a cross$-$sectional area of $A_1=270m{m}^2.\frac{?}{\text{B}\text{a}\text{r}}(2)$ is an aluminum alloy $[E=69$GPa $]$ with a cross$-$sectional area of $A_2=580$

$m{m}^2.$ Assume $L_1=2120mm,a=1120mm,b=650mm,c=470mm,$ and $L_2=1450mm.$ If a load of $P=35kN$ is applied at $B,$ determine

$($a$)$ the normal stresses $($positive if in tension and negative if in compression$)$ in both bars $(1)$ and $(2).$

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

Answers:

$($a$){}_1=$

MPa

${}_2=$

MPa

$($b$),v_A=$

mm