Problem $1.$

A clayey specimen is subjected to loading and unloading along the path $ABCDEF.$ The Compression Index $($Cc$)$ and Recompression Index $($Cs$)$ are provided below. The initial void ratio at point A is given as $e_A($value provided below$).$ Calculate the void ratios at points B$,$ C$,$ D$,$ E$,$ and F $($the effective stress for each point is provided below$).$ Assume that the effective stress at point B corresponds to the overconsolidation stress. Present the calculated void ratios in both tabular and graphical form $($plot the graph of e $-log({}^{\text{'}})).$

$\{\begin{array}{c}\text{:}{}_A^{\text{'}}=\\ 68\mathrm{.}0K\frac{N}{m^2}{}_B^{\text{'}}=\\ 110\mathrm{.}0K\frac{N}{m^2}{}_C^{\text{'}}=\\ 182\mathrm{.}0K\frac{N}{m^2}\\ {}_D^{\text{'}}=\\ 95\mathrm{.}0K\frac{N}{m^2}\end{array}$

$\{\begin{array}{c}\text{:}{e}_A=\\ 0\mathrm{.}98\end{array}$