Problem $2(40$ points$)$

By using strain influence factor method $($Schmertmann et al method$),$ determine the

settlement at $10$ years for a $5^{\text{'}},$ by $5^{\text{'}},$ square foundation footing located at ground

level as shown in the sketch below. There is no ground water table at this site. The

site stratigraphy consists of aged normally consolidated sand. The soil has a unit

weight of $130l\frac{b}{f}{t}^3.$ The variation with depth of the cone penetrometer resistance

measurements, $q_c,$ is given below.

Please pay attention to the consistency of the units in your calculations.