Problem $2$ A square spread footing supports a $450-$mm$-$squre column supporting a service dead load of $1,750kN$ and a service love load of $1,200kN.$ The column is built of $35-$MPa concrete and has eight No$\mathrm{.}29$M longitudinal bars with $f_y=420$MPa. Design a spread footing to be constructed by using $20-$MPa concrete and Grade$-420$ bars. The top of the footing will be covered with $150mm$ of fill with a density of $19k\frac{N}{m^3}$ and a $150-$basement floor. The basement floor loading is $5k\frac{N}{m^2}.$ The allowable bearing pressure on the soil is $190k\frac{N}{m^2}.$ Use the load and resistance factors from ACI$318-14.$