Q$2(30$P$)$

A $3m$ wide continuous footing shown in the figure supports a wall load of $450k\frac{N}{m}.$ The groundwater table is at the same level as the ground surface. Compute the following:

a$)$ The bearing pressure

b$)$ The ultimate bearing capacity by using Terzaghi's formula

c$)$ Check it for the design of the foundation $($FS$=3)$

Note: Use the average unit weight of the soil and concrete for Wf$.$