Figure $1($a$)$ shows a static system for a beam$-$column construction where a pin support is at

$$D$$ end and a roller support is at $$C$$ end. BD is a short column $(400$mmx$400$mm$)$ and Figure

$1($b$)$ shows the X$-$X cross section of column BD$.$ Column BD is constructed using concrete

class B$35$ and B$500$NC steel. Nominal cover to the reinforcement from stirrups is $35$mm$.$

The column shall be designed for the following for the load case given below:

qEd $=90$ kN$/$m and P Ed $=225$ kN at Ultimate Limit State.

a$)$ Calculate design moment and axial force for column BD considering the load case and

show that the design loads for the column are:

NEd $=625\mathrm{.}5$ kN and M Edy $=225$ kNm

b$)$ Calculate required steel reinforcement for column BD for the load case and show in a

diagram how reinforcement is being placed. Use $25$ longitudinal reinforcement and

links $($stirrups$)12.$

Problem $2$

If the short column in problem $1$ carries a design moment of MEdz $=45$ kN$.$m $($about z$-$z axis$)$

in addition to the design load; NEd $=625\mathrm{.}5$ kN and M Edy $=225$ kN$.$m$.$ Check for reinforcement

found in Problem $1$ is sufficient to carry both moments.Suggest any new reinforcement to

provide adequate capacity