Q$3$

$($a$)$ The results below were obtained in a Standard Proctor compaction test on a

soil sample with a specific gravity $(G_s)$ of $2\mathrm{.}7.$

$($i$)$ Determine and plot the dry density $(\{$:${}_{\text{d}\text{r}\text{y}})$ for every moisture content.

$($ii$)$ Determine the maximum dry density $({}_{\text{d}\text{r}\text{y}\text{,}\text{m}\text{a}\text{x}})$ and the optimum

moisture content $(W_{\text{o}\text{p}\text{t}}).$

$($iii$)$ Determine the air$-$void ratio $(\{$:$A_v),$ void ratio $($e$),$ and degree of

saturation $(S_r)$ at maximum dry density.

$(5$ marks$)$

$($iv$)$ Under filled compaction conditions, the air$-$void ratio and optimum

moisture content may both vary up to $+-2\%.$ Calculate, therefore, the

lower field limit of dry density that you will specify.