Bedrock

$2$a$)$ Plot the laboratory effective vertical stress vs$.$ void ratio curve on both arithmetic and semilogarithmic graphs. Note: Don't connect the points with straight lines. Instead, draw a smooth curve through the points $($this will make step $2$ easier$).$ Plots should be drawn using a software $($e$.$g$.,$ Excel$).$ Points will be deducted for hand$-$drawn plots.

$2$b$)$ Determine the preconsolidation stress for the sample. Present your approach graphically on your plot.

$2$c$)$ Determine the present vertical effective stress at the location of the sample.

$2$d$)$ What is the OCR of the sample? Is the clay normally consolidated or overconsolidated?

$2$e$)$ Construct the field compression curve. Note: $\backslash (\backslash$mathrm$\{$e$\}\_\{0\}=0\mathrm{.}4\backslash ).$ Present your approach graphically on your plot.

$2$f$)$ Calculate field Cc and Cs $.$

$2$ g $)$ A wide highway embankment $($unit weight $\backslash (=20\mathrm{.}5\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}^\{3\}\backslash ))$ is to be constructed on the site. Assuming that the sand is incompressible, estimate the total consolidation settlement if the height of the embankment is

$-3\mathrm{.}6$ m

$-35$ m

$2$h$)$ If on$-$site clay has a Cv value of $\backslash (3\backslash$mathrm$\{$~m$\}^\{2\}/\backslash$mathrm$\{$yr$\}\backslash ),$ estimate the time required for $\backslash (90\backslash \%\backslash )$ of settlement to occur. The bedrock is highly fractured and, hence, can be considered as a drainage boundary.

$\backslash (2$ g $\backslash ))$ Predict the settlement $3$ years after the construction of the embankment. The on$-$site clay has a C $\backslash (\backslash$alpha $\backslash )$ of $0\mathrm{.}012.$