SHOW AND CHECK YOUR WORK! WORK EFFICIENTLY, BUT CAREFULLY!

Instructions:

$-$Closed$-$book and notes, but equation sheet ok$.$

$-$You must indicate magnitudes $(3$ significant figures$),$ units and directions $($if applicable$)$ for all your final answers.

$-$Show all your work for credit $($e$.$g$.,$ calculations, FBDs$)$

The column AB is made from high$-$strength precast concrete and reinforced with four $\frac{3}{4}$ in diameter A$-36$ steel rods. If it is subjected to an axial force as shown, where $P=75$ kip, determine the average normal stress in the concrete and in each rod. The Young's moduli of A$-36$ steel and high$-$strength concrete are $E_{st}=29{10}^3$ksi and $E_{\text{c}\text{o}\text{n}\text{c}}=4\mathrm{.}2{10}^3$ksi. $($Hint: Use a compatibilitv condition$/$eauation$)$