$9-15.$ Refer to the Column plan detail shown. Use $f^{\text{'}}c=4,000$ psi and $fy=60,000$ psi

a$.$ Does the tie arrangement and vertical reinforcing ratio meet the ACl code?

b$.$ Without using the interaction diagram, determine $Pn($kip$)$ assuming minimum moments $($i$.$e$.,Mn=0\mathrm{.}1Pnh)$

c$.$ Confirm the answer from $($b$)$ using the interaction diagram; show calculations and draw appropriate lines on a copy of the appropriate interaction diagram to support your answer

d$.$ Using the interaction diagram, determine the design bending strength, $Mn(k-ft)$ when the applied axial load is $Pu=325k$; show calculations and draw appropriate lines on the diagram to support your answer

Problem $9-15$

$(8)-$s$6$ vert. #$3$ ties@ ${12}^{\text{'}}$