Question $3(40$ marks$)$

A rectangular footing of $2m$ wide, $3m$ long and $0\mathrm{.}5m$ thick is founded at a depth of $1\mathrm{.}5$

$m$ in a clayey soil of unit weight $20k\frac{N}{m^3},Cu=110$kPa,${}^{\text{'}}=32$ and $c^{\text{'}}=0$kPa,$E_{\text{o}\text{e}\text{d}}=$

$15$Mpa,$E=20$Mpa, Poisson's ratio $=0\mathrm{.}45.$ The foundation is to carry a vertical

characteristic permanent load of $765kN$ and a vertical characteristic transient load of $489$

$kN.$ The water table is located at a depth of $1m.$ Take the weight density of concrete of

$24k\frac{N}{m^3}.$

Check the Eurocode $7$ GEO ultimate limit state $($Design approach $1-$ combination $1)$ in

short$-$term as well as long$-$term by establishing the magnitude of the over$-$design factor

and degree of utilization. $(20$ Marks$)$

Check also the Eurocode $7$ GEO serviceability limit state by calculating immediate and

consolidation settlement of the foundaiton. $(20$ Marks$)$