$($adapted from Hibbeler $10$th ed$.$ probs. $4-31$ & $4-32)$

Eight A$992$ steel, $1$ inch diameter, reinforcing rods are embedded into high strength concrete to

create the column shown. The column is subjected to an axial load of $200$kip.

a$.$ Find the average stresses carried by the concrete and by each steel rod.

b$.$ Suppose you wanted $60\%$ of the applied force to be carried in the concrete and $40\%$ to

be carried in the steel. What diameter should be specified for the steel rods instead of $1$

inch? $($Assume nothing else changes to answer this question.$)$