Consider the rectangular, short$-$braced column supporting two cantilevers as shown. The structural system to be used is show in the Figure below. The UDL on the cantilevers are $g_k=90k\frac{N}{m},q_k=50k\frac{N}{m}.$

In addition, the column supports a concentrated load of $G_k=1300kN.$

a$)$ Find $N,M_x$ and $M_y$ at the base center of the column. Choose $h$ such that $n=\frac{N}{f_{cu}bh}=0\mathrm{.}3$ and $h>b.$ The material strengths are $f_{cu}=35$MPa,$f_y=f_{yv}=500$MPa.

b$)$ Using the results from $($a$),$ design for the longitudinal reinforcement $($using the chart for $\frac{d}{h}=0\mathrm{.}85,$ and also the transverse reinforcement for critical and non$-$critical zones.

c$)$ Provide sketches showing the arrangement of reinforcements in the cross$-$section and along the column length.

Consider a specific weight of reinforced concrete: $24\mathrm{.}0k\frac{N}{m^3}$

Assume: $b^{\text{'}}=b-60$ and $h^{\text{'}}=h-70$