Question $2($a$)$ Sketch the deformed shape of a soil element when subjected to $($i$)$ an axial compressive stress, $($ii$)$ an axial tensile stress, $($iii$)$ an isotropic stress and $($iv$)$ a shear stress. Note on the sketch which stiffness modulus applies in each case. $(25\%)($b$)$ Define Poisson$$s ratio with the aid of a sketch. $(10\%)($c$)$ Using the data given below $($Table $2)$ for a shear box test determine the elastic stiffness of the material. $(30\%)$ Shear stress $($kPa$)$ Shear strain $(\%)001800\mathrm{.}530014001\mathrm{.}5480260036804760579068007$