A square footing $2\mathrm{.}4m2\mathrm{.}4m0\mathrm{.}50m$ thick supports a square column $0\mathrm{.}40m0\mathrm{.}40m$ at its center

carries a service de$$d load of $300$ kN $,$ a service live load of $600$ kN and moments tabulated below:

$M_{Dx}=35kNm,M_{ix}=50kNm,M_{Ex}=60kNm$

Assume $f_c^{\text{'}}=20$MPa,$f_y=415$MPa. Concrete cover to the centroid of steel reinforcement $=$

$80$ mm $.$

a$.$ Calculate the maximum wide$-$beam shear stress.

Ans: $0\mathrm{.}514$ MPa

b$.$ Calculate the maximum punching shear stress.

Ans. $1\mathrm{.}128$ MPa

c$.$ Determine the design moment at ultimate loads.

Ans: $332\mathrm{.}176$ kNm