Q$2.$ Three foundations are located next to each other as shown in the Plan View in the figure below.

$($i$)$ Using Influence factor method and assuming that all three foundations have the same depth of embedment, determine the vertical stress increase at $A,$ at a depth of $2\mathrm{.}0m$ below the base of foundation $1.$

Discuss how the increase in vertical stress at $A$ is contributed by foundations $1,2,$ and $3.$

$($ii$)$ Repeat part $($i$)$ for a scenario where foundation $2$ is sitting right next to foundation $1($i$.$e$.,2\mathrm{.}5m$ spacing vanishes$).$ Discuss how the spacing between foundations affects the stress increment.