$(5$ Marks$)$

$($a$)$ Determine the number of $15M$ longitudinal bars required for a column using the following:

Use $300mm300mm$ column with $40mm$ cover to ties $(=0\mathrm{.}60).$

Use $30$MPa concrete, $400$MPa reinforcing steel, $10M$ stirrups$/$ties$,20mm$ maximum

aggregate size.

Assume the factored Moment applied to the column is $Mf=47kN.m.$

Assume factored axial load applied to the column is $Pf=124\mathrm{.}8kN.$

$($b$)$ Sketch your column design.