A square foundation $1$ m $(3$ ft$)$ wide is embedded $2$ m

$(8$ ft$)$ in a soil classified as SM$.$ The soil parameters are: ~$)$

from triaxial test $=28\backslash$deg $,\text{'}$Y $=18\mathrm{.}5$ kN$/$m$3(18$ pef$),$ Dr $=60\%,$

and S $=70\%.$ Groundwater is at $3$ m $(10$ ft$)$ below finished

grade. The foundation is required to carry a load of $1000$ kN

$(225$ kips$)$ inclined at lSO to the vertical plane.$($a$)$ Determine whether the foundation size is satisfactory

to support the load using ASD and a desired FS

of $2\mathrm{.}5.$

$($b$)$ If the foundation size is not satisfactory but cannot

be increased and the load and its direction are fixed,

recommend a remedial method that will enable the

foundation to satisfy ultimate limit state.