QUESTION $2$

A rectangular footing of $2\mathrm{.}5m3\mathrm{.}0m$ has a foundation depth of $1\mathrm{.}5$ m as shown in the Figure Q$2$ below. The footing has an eccentricity $e=0\mathrm{.}35m$ and a maximum base pressure of $q_{\text{m}\text{a}\text{x}}=410k\frac{N}{m^2}.$ The soil foundation has a cohesion value of $30k\frac{N}{m^2},$ an angle of internal friction of $30,\frac{O}{?}=30,Nc=30\mathrm{.}14,Nq=18\mathrm{.}4,N=15\mathrm{.}7$ and a saturated unit weight of ${}_{\text{s}\text{a}\text{t}}=21k\frac{N}{m^3}.$ Consider the effects of groundwater table, use Meyerhof bearing capacity to calculate the following:

$2\mathrm{.}1$ Ultimate bearing capacity $q{u}_H$

$2\mathrm{.}2$ Gross ultimate load $Q_u$

$2\mathrm{.}4$ The factor of safety and state whether foundation is safe

Figure Q$2$: Rectangular footing