PROB. #$3.$ The foundation shown in Fig. $1$ is used to transmit a vertical load and a moment from the column to the soil below. The foundation will be square in shape. Use General Bearing theory to design the foundation. Use the effective area method as explained in class. Use $=30,c=50k\frac{N}{m^2}.$ and $=18k\frac{N}{m^3}$ and FS $=3$

$$30=>N_c=37\mathrm{.}16$

$N_q=22\mathrm{.}46$

$N_y=19\mathrm{.}13$

$400kN$

Fig. $1.$