SECTION $3$: Chapter $10$ review $(40$pts$)$

$7.$ Several ASTM A$36$ steel rods are used to support a balcony. Each rod is suspended from a roof beam and supports a balcony floor area of $85f{t}^2.$ If the total load $($dead and live$)$ to be carried by that section of the floor is $175l\frac{b}{f}{t}^2,$ compute the rod diameter. Use an allowable tensile stress of $22,500$ psi.