$3-3.$ A $10-$foot by $10-$foot square footing to carry a total load of $425$ tons is to be installed $8$ feet below ground surface on a sand stratum. Standard penetration tests were conducted on the site. Test results were corrected for overburden pressures, and the corrected $N-$values are listed as follows:

$\backslash$table$[[$Depth $($fi$),$Corrected N$-$Values$],[2\mathrm{.}0,14],[4\mathrm{.}0,26],[6\mathrm{.}0,38],[8\mathrm{.}0,28],[10\mathrm{.}0,19],[12\mathrm{.}0,21],[14\mathrm{.}0,25],[16\mathrm{.}0,28],[18\mathrm{.}0,31],[20\mathrm{.}0,27],[22\mathrm{.}0,28],[24\mathrm{.}0,34],[26\mathrm{.}0,29]]$

No groundwater wals encountered during the subsurface exploration. Estimate the maximum expected settlement of the footing. Use Bazaraa's method.