Determine the vertical stress increase at a point that is at a depth of $3m$ below the centroid

of the foundation shown in Figure $1.$ The top view of the foundation consists of a composite shape

that has a $6m6m$ square and two semi$-$circles of $6m$ diameter are attached to opposite sides of

the square. The vertical stress transferred by the flexible foundation to the ground surface is $200$

kPa.$E_{\text{s}\text{o}\text{i}\text{l}}=50$MPa,${}_{\text{s}\text{o}\text{i}\text{l}}=0\mathrm{.}3,{}_d=1\mathrm{.}8g\frac{m}{c}c$;$G_s=2\mathrm{.}65.$

rigure i$.$ ap view or iounuation ior question $1$