Example $1.$

A soils sample was obtained in the field using a tube sampler during a routine site investigation. In the lab, most measurements of mass and length are obtained in SI units, so in this example, SI units will be used and then converted to the more familiar English units. The sample was brought back to the lab and the technical carefully trimmed the sample to give a cylindrical specimen with a diameter of $73\mathrm{.}02mm$ and a height of $52\mathrm{.}3mm.$ The total $($wet$)$ mass of the specimen was $440\mathrm{.}8gm.$ The technician placed the specimen in a ceramic bowl and placed it in a drying oven for $24$ hours. After drying, the dry mass of the soil was determined as $361\mathrm{.}3gm.$ Using this information, it is possible to calculate the various parameters needed to describe the phase relationships for this soil. Assumption: $g\frac{m}{c}{m}^3),$l

Water Content: $M_W=M_T-M_S$

$W=(\frac{M_W}{M_s})100\%$

Voids Ratio: $V_s=\frac{M_s}{p_s}$

$V_W=\frac{M_W}{p_{\text{W}\text{A}\text{T}\text{E}\text{R}}}$

$V_V=V_T-V_S$

$E=\frac{V_V}{V_S}$

Saturation: $S=(\frac{V_w}{V_V}100\%)$

Dry Density: $p_{\text{D}\text{R}\text{Y}}=\frac{M_S}{V_T},$ For English units: $(p_{\text{D}\text{R}\text{Y}}62\mathrm{.}4lbs\frac{.}{f}\frac{t^3}{g}\frac{m}{c}{m}^3$

Joildywt $-$ libs purosity$=\%$

Example $2.$

$pg.31$ sturt

What if the soils sample was taken from below the water table and the only value that could be determined was a laboratory measurement of water content A wet sample with a total mass of $320\mathrm{.}6gm$ was dried in the oven for $24hrs.$ and the dry mass was determined to be $231\mathrm{.}3gm.$