$1.$ A rectangular gabion retaining wall of base width $3$m is required to retain a height of $4$m of soil with the following properties:

c$=0$

$\backslash$phi $=32\backslash$deg

$\backslash$gamma $=19$ kN$/$m$3$

The surcharge on the surface of the retained soil is $10$ kN$/$m$2.$ What is the Disturbing Moment, MDd$,$ acting on the wall due to the retained soil and the surcharge, in accordance with the EQU limit state?

$2.$ Four static load tests were carried out on concrete driven piles and the following results were obtained: $400$kN$,440$kN$,430$kN and $410$kN$.$ Determine the design compressive resistance of the piles in accordance with Eurocode $7,$ Design Approach $1.$

$3.$ A rectangular gabion retaining wall measures $3$m high and $1\mathrm{.}5$m wide. It is filled with stone of weight density $22$kN$/$m$3.$ What is the design restoring moment, MRd$,$ generated by the wall in accordance with the EQU limit state?

$4.$ A square pad foundation of size B $=2\mathrm{.}5$m$,$ on a firm clay soil, is required to support a portal frame column which imposes a vertical design force, Vd $-1,150$kN and a moment, Md $=180$kNm$.$ Use the prescriptive method to determine the maximum vertical stress imposed on the clay.

$5.$ If the design value of the friction angle of a soil is $38\backslash$deg $,$ what is the value of the Terzaghi bearing capacity factor Nq$?$

$6.$ A square concrete pile, size B $=0\mathrm{.}3$m$,$ is driven to a depth of $7$m in a clay soil with the properties: cohesion, c $=50$kN$/$m$2,$ friction angle $=0\backslash$deg $.$ Calculate the design ground resistance of the pile, Rcd$.$

$7.$ A square foundation of size, B $=3$m$,$ is located at a depth, D $=1$m$,$ on soil for which the cohesion, c $=0,$ friction angle, $\backslash$Phi $=38\backslash$deg degrees and weight density $=20$kN$/$m$3.$ Use Terzaghi's equation to determine the ground's vertical resistance, RV$.$

$8.$ If the design value of the friction angle of a soil is $32\backslash$deg $,$ what is the value of the coefficient of active pressure, Ka$?$

$9.$ A foundation is subjected to a dead load, Gk $=2,000$kN$,$ and a live load, Qk $=1,200$kN$.$ What is the design vertical load in accordance with EC$7$: Design Approach $1$: Combination $1?$