Problem $1$: A plate load test was conducted on a uniform deposit of sand and the following data were obtained:

The size of the plate was $750mm750mm$ and that of the pit $3\mathrm{.}75m3\mathrm{.}75m1\mathrm{.}5$ m

Plot the load intensity$-$settlement curve and determine the failure stress.

ii$)$ A square footing $2m2m$ is to bo founded at $1\mathrm{.}5$ m dopth in this soil. Assuming a maximum permissible sottloment as $40$ mm $,$ determine the allowable bearing pressure.

iii$)$ Design of footing for a load of $2000$ kN $,$ if the water table is at a great depth.