Problem $1.(10$ points$)$

$P_D=650$kips,$P_L=400$kips. Assume $f_c^{\text{'}}=3$ksi and $f_y=60$ksi

When estimating Ast: Use $P_u=\frac{O}{(0\mathrm{.}85f^{\text{'}}c(Ag-\text{A}\text{s}\text{t})+A_{st}{f}_y)}$ and solve for Ast.

Ag was calculated in the previous step.

a$)$ Design a square tied column

b$)$ Design a rectangular tied column with the long side equal to two times the length of

the short side