Question $1$

A rectangular footing of width $3m$ and length $4m,$ is founded at a depth of $1m$ below the ground surface in a medium dense sand having a cohesion $c=20k\frac{N}{m^2}$ and angle of shearing resistance $=37.$ The water table is at a depth of $1\mathrm{.}4m$ below ground level. The load applied on the footing has eccentricities as shown in figure, and an angle of $20$ with the vertical axe of the footing $($given: ${}_w=9,81k\frac{N}{m^3})$

Calculate the ultimate bearing capacity qult, the net ultimate load Qult$($net$)$ and the net allowable load Qall$($net$)$ of the footing $(FS=3).$