b$.$ A shallow square footing $(4$ m x $4$ m$)$ is to be founded at a depth of $2\mathrm{.}0$ m in a deep deposit

of sandy clay as shown in Figure Q$2$b$.$ The properties of the sandy clay are; c$=20$ kPa,

$=35$o$,$

$$b$=18$ kN$/$m$3$ and

$$sat $=20$ kN$/$m$3.$ Groundwater table is temporary lowered for the

construction of the foundations and will revert permenantly to a depth of $1$m below the

ground surface as shown in Figure Q$2$b$.$ Design the footing to meet the requirements of

EC$7,$ Combination $1$ of Design Approach $1$ if the footing supports a concrete column with

dimensions of $0\mathrm{.}75$m X $0\mathrm{.}75$m that carries a vertical permenant load of $2000$ kN and

vertical variable load of $1500$ kN$.$ The point of application of all vertical loads is shifted

from the centre of the footing and found to be at a distance of $0\mathrm{.}25$ m from the centre of

the footing in both directions as shown in Figure Q$2$b$.$ The bearing capacity factors are

determined and found to be Nc$=46\mathrm{.}13,$ Nq$=33\mathrm{.}3$ and N$=45\mathrm{.}23.($Hint: you may assume

that the thickness of the footing is $1$m$.$ Any other required dimensions may be assumed$)$

$(70\%$