Question $4$

$[25$ marks$]$

$4\mathrm{.}1$ A variable action has an unfavourable magnitude of $Q_x=1000kV.$ Considering design approach $1-$ combination $1$ with a partial factor of safety, $r_Q=1\mathrm{.}5,$ determine the design value of the action.

$4\mathrm{.}2$ Determine the design value of a shallow foundation if the characteristics angle of shearing resistance is $\frac{O}{{?}_k^{\text{'}}}=40$ with a corresponding partial of safety of ${}_0^{\text{'}}=1\mathrm{.}25.(5)$

$4\mathrm{.}3$ A concrete foundation is to be cast into a soil deposit, The foundation has a representative's permanent action of $G_k=1500kN,Q_k=900kN.$ If the self$-$weight, $w$ of the foundation is $90kN.$ Determine the design action values using $DA-1$:$C-2.(5)$

$4\mathrm{.}4$ A rectangular pad footing with design bearing pressure $q_{Ed}$ of $690$kPa, if the design resistance value is $q_{Rd}$ of $1050$kPa determine the percentage at which the foundation will utilize its efficiency.

$4\mathrm{.}5$ A $2\mathrm{.}52\mathrm{.}5m$ squared footing with characteristic self$-$weight is $W_{Gk}$ of $47kN$ is founded on the dry sand. If the permanent and variable actions of $G_k=1500kN,Q_k=800kN$ is acting at the center of the foundation. Considering DA$-2,$ calculate the design bearing pressure $q_{Bd}.$

$(5)$

$[25$ marks$]$