A cylindrical sand sample was prepared at $100\%$ saturation ratio by raining down $1113\mathrm{.}5$ gram of oven$-$

dried soil grains in distilled, de$-$aired water under intermittent vibration during its preparation. The

maximum and minimum void ratios of the sand were $0\mathrm{.}365$ and $1\mathrm{.}234,$ respectively, and the specific gravity

of sand grains was $2\mathrm{.}67.$ In a consolidated drained triaxial test performed on the sample under $206\mathrm{.}8$ kPa

constant cell pressure, the sample failed when the axial load reached $3\mathrm{.}336$ kN $.$ After consolidation, the

sample was of $70\mathrm{.}7-mm$ diameter and $155\mathrm{.}0-mm$ height. At failure, its length was $148\mathrm{.}8$ mm and volume

was $618\mathrm{.}3$ ml $.$

i$.$ What was the relative density of the sample at the end of consolidation? How many milliliters of water

occupied its void space? What was its bulk unit weight?

$2+2+2$

ii$.$ Was it in a loose, medium dense or dense state? Should it have dilated or contracted?

iii. Find the major and minor principal effective stresses at failure.