Problem $1$

Problem Statement

A saturated sample of clayey silt is $10$ cm in diameter and is $2\mathrm{.}5$ cm thick. The void

ratio of the sample in this state is $1\mathrm{.}41.$ The specific gravity of solids $(G_s)$ of $2\mathrm{.}71.$ Without

changing its diameter, the sample is next compressed to a new thickness of $2\mathrm{.}0$ m by expelling

pore fluid:

Determine a$)$ the unit weight $({}_m)$ of the soil sample $($in units of $k\frac{N}{m^3})$ prior to being

compressed, b$)$ the void ratio $(e)$ after compression and, c$)$ the change in moisture content

$(w)$ associated with the compression of the sample.