$8\mathrm{.}7$ A $190-k$ column load is to be supported on a $10$ ft square, $3$ ft deep spread footing underlain by young, normally consolidated sandy soils. The results of a representative CPT sounding at this site are as follows:

$\backslash$table$[[$Depth $(ft),0\mathrm{.}0-6\mathrm{.}0,6\mathrm{.}0-10\mathrm{.}0,10\mathrm{.}0-18\mathrm{.}0,18\mathrm{.}0-21\mathrm{.}0,21\mathrm{.}0-40\mathrm{.}0$