A consolidated$-$drained $($CD$)$ triaxial test is conducted on a sample of NC soil. The cell pressure is

$100$ kPa, and the applied axial stress at failure is $200$ kPa.

a$.$ Plot Mohr's circles of total and effective stress from this data. Label the stresses.

b$.$ Determine the shear strength parameters of this soil $($c$,\backslash$phi $),$ and plot the Mohr$-$Coulomb

envelope.

c$.$ Determine the normal and the shear stress on the failure plane $(\backslash$sigma f$,\backslash$tau f$)$ and the orientation of the

failure plane $($f$).$

d$.$ Determine the maximum shear stress $(\backslash$tau max$),$ and the orientation of the plane $()$ on which it acts,

and the normal force $(\backslash$sigma $)$ on the same plane.

e$.$ Determine the available $$shear strength capacity$$ on the $\backslash$tau max plane$,$ and the factor of safety

against failure at the normal stress $(\backslash$sigma $)$ it carries. $($Remember FS $=$ Capacity$/$Applied Stress$)$