$($a$)$ Determine bending moment distributions for the interior design strips in the longer direction.

$($b$)$ Check the interior column A for punching shear strength in the critical direction using the provisions of AS$3600.$ Consider that the thickness of the slab is $200mm.$

$($c$)$ What would you do if the punching shear strength in part $($b$)$ is insufficient?

Design data:

Compressive strength of concrete, $f^{\text{'}}=32$MPa, Unit weight of concrete $=25k\frac{N}{m^3}$ Yield strength of steel, $f_{sy}=500$MPa, Slab thickness $D_s=200mm$

Concrete Cover $=25mm,$ Loads: Super imposed dead load and live load is to be calculated as below.

Take sum of the digits of your student ID$,$ then keep taking sum of the digits of the previous answer until you reach a single digit, divide that number by $2.$ This is your super imposed dead load as well as live load in kPa.

For example, if your student ID is $123456,$ Sum will be $1+2+3+4+5+6=21,$ then $2+1=3.$

$\frac{3}{2}=1\mathrm{.}5.$ Hence the super imposed dead load $=1\mathrm{.}5$kPa, Live load $=1\mathrm{.}5$kPa.

All columns are: $350350mm,$ Edge beam $=350mm$ wide $450mm$ deep

Note: Make a neat drawing showing the interior design strips.