A rectangular footing $($dimensions of $3$ m $\backslash$times $4$ m in plan view$)$ is embedded at a depth of $1$ m over adry sandy stratum $($with thickness of $5$ m$).$ The footing would impose a $($net$)$ uniformly distributedbearing pressure of $250$ kN$/$m$2.$ The average modulus of elasticity and Poissons ratio of the siltysand are $12000$ kPa and $0\mathrm{.}3,$ respectively. Using the elastic settlement estimation method presentedby Steinbrenner $(1934),($a$)$ Estimate the immediate settlement at the center of the foundation if the foundation is flexible.$($b$)$ Estimate the immediate settlement at the corner of the foundation if the foundation is flexible.$($c$)$ Estimate the immediate settlement foundation if the foundation is rigid.