a$)$ A strip foundation, $2\mathrm{.}2$ m wide, is to be located at a depth of $1\mathrm{.}2$ m below ground level in a silty sand. The soil has a bulk unit weight of $19\mathrm{.}8k\frac{N}{m^3},c^{\text{'}}=0$kPa and ${}^{\text{'}}=30.$ Using the accompanying bearing capacity factors $($see the equations or the graph at the end, use either but clearly indicate which ones were used$)$

$($i$)$ Determine the ultimate bearing capacity for this soil assuming the groundwater level is very deep $(D_w>D_f+B).D_w-$ depth of water, $D_f-$ depth of foundation and $B$ the width of the foundation.

$[6$ marks$]$

$($ii$)$ Determine the ultimate bearing capacity for this soil assuming the groundwater level is just below the foundation level.

$[4$ marks$]$

$($iii$)$ Using the accompanying shape factor functions, explain how the ultimate bearing capacity of the strip foundation described in part $($i$)$ would be affected if the foundation pad were a square of $2\mathrm{.}2$ m width.

$[4$ marks$]$

$($iv$)$ Check if the footing configuration$/$dimensions described in $($iii$)$ can withstand the following load $($permanent $350$ kN and variable of $300$ kN $)$ to satisfy EC$7($Comb $1)$ at the ULS. $($see the table at the end of the paper$)$