Design a rectangular concrete footing to support a $500$mm x $500$mm square column dead load of $1000$ kN and a liveload of $1200$ KN$.$Allowable soil bearing pressure was $210$ kPa F$\text{'}$c for column is $28$ MPa and fc footing is $20$ mPa. fy for all steel is $27\mathrm{.}6$ Mpa and steel column bars was $20$ mm$.$ The width of thefooting is limited to $2\mathrm{.}20$ m$.($clear concrete cover $=75$ mm$)$Unit weight soil: $16\mathrm{.}50$ kn$/$m$^3$Unit weight concrete: $23\mathrm{.}50$ kn$/$m$^3$Determine a$.)$ footing size, effective depth, and total thickness of the footingb.$)$ number of $25$ mm diameter both both waysc.$)$ required and allowable development of bars