QUESTION $2$

$[20$ MARKS$]$

Two columns spaced at $2\mathrm{.}5m$ centres sit on a combined base due to site limitations$.$ The base has a thickness of $500mm$ and rests on soil with an allowable bearing pressure of $155$kPa. Grade $25/26$ concrete and high$-$tensile steel are specified, with a minimum cover thickness of $50mm$ for the steel.

The columns carry the following unfactored loads:

Left column: Dead Load $=350kN,$ Live Load $=550kN$

Right column: Dead Load $=250kN,$ Live Load $=200kN$

Determine the centroid location of the two columns, design the pase size, calculate, and draw the design shear force and bending moment diagrams for the $1m$ beam within the slab.