Question $1(20$ pts$)$: For the short column with the cross section and material properties shown below:

$f_c^{\text{'}}=6000p$

$f_y=60,000p$

Find the following, for a$-$d show all work on paper:

a$)$ Ensure that the reinforcement meets ACl $318$ minimums and maximums for columns.

b$)$ The nominal axial capacity, $P_n,$ when no moment is applied.

c$)$ The nominal moment capacity, $M_n,$ when no axial force is applied.

d$)$ The nominal axial capacity, $P_n,$ and nominal moment capacity, $M_n,$ for the balanced point.

e$)$ Develop the full interaction diagram for the column section shown in excel, for both the nominal and factored resistance. $($There is nothing needed on paper for this part of the problem$).$

f$)$ Determine if the following combinations of axial and moment demands can be resisted by the column. Show the demands graphically on the interaction diagram $($can be done on the computer or by hand$)$ and print off and include the interaction diagram with the marked points.

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