A uniformly$-$distributed load w is supported by a structure consisting of rigid bar BDF and three rods. Rods $(1)$ and $(2)$ are $14-$mm$-$

diameter stainless steel rods that have an elastic modulus of $E=198$GPa. Rod$(3)$ is a $24-mm-$diameter bronze rod that has an elastic

modulus of $E=105$GPa. Use $a=1\mathrm{.}2m$ and $L=3\mathrm{.}2m.$ For a load magnitude of $w=30k\frac{N}{m},$ calculate $($a$)$ the normal stress in each rod.

$($b$)$ the vertical deflection of the rigid bar at $F.$