Determine the maximum permissible bearing capacity and width for a shallow strip footing

to be placed on a cohesionless silty sand and gravel soil. Use a Factor of Safety of $3$ on the

ultimate bearing capacity to determine the permissible bearing capacity. In the upper $0\mathrm{.}6$

meters $($about $2$ feet$)$ of the building's subgrade, loose soil was discovered. Building

pressure of $144k\frac{N}{m}2($or $3000l\frac{b}{f}t2)$ must not be transmitted through the footing. $(15$

pts$)$

Given

bearing pressure from building $=144k\frac{N}{m^2}(3000lb\frac{s}{f}{t}^2)$

unit weight of soil, $=21k\frac{N}{m^3}(132lb\frac{s}{f}{t}^3)$

Cohesion, $c=0$

angle of Internal Friction, $=32$

footing depth, $D=0\mathrm{.}6m(2ft)$