A cylindrical sample of soil is isotropically compressed under drained condition with a vertical

stress of $100$kPa

and a radial stress of $100$kPa. Subsequently, the axial stress was held constant and the radial

stress was increased to $300$kPa under an undrained condition.

$($a$)$ Create a graph with the $x-$axis as $p,p^{\text{'}}$ and the $y-$axis as $q.$ Calculate and plot the initial mean

effective stress and deviatoric stress.

$($b$)$ Calculate the increase in mean total stress and deviatoric stress.

$($c$)$ Plot the current total and effective stress paths $($assume the soil is a linear, isotropic, elastic

material$).$

$($d$)$ Determine the slopes of the total and effective stress paths and the maximum excess

porewater pressure.

$($e$)$ Create a graph with the $x-$axis as $s,s\text{'}$ and the $y-$axis as $t.$ Calculate and plot the initial mean

effective

stress and deviatoric stress.

$($f$)$ Calculate the increase in mean total stress and deviatoric stress.

$($g$)$ Plot the total and effective stress paths $($assume the soil is a linear, isotropic, elastic

material$).$

$($h$)$ Determine the slopes of the total and effective stress paths and the maximum excess

porewater

pressure.