$\backslash (6-\backslash )$ A foundation is supported by a single drilled shaft $18-$inch in diameter. The lateral wind load will be $1500$ lbs $30$ ft above the ground surface. The soils are sandy clays with $\backslash (\backslash$mathrm$\{$s$\}\_\{\backslash$mathrm$\{$u$\}\}=2500\backslash$mathrm$\{$lb$\}/\backslash$mathrm$\{$ft$\}^\{2\}\backslash ).$ Using a rigid analysis, compute the required depth of embedment and the maximum moment in the drilled shaft assuming a $3\mathrm{.}0$ FOS.