$\mathrm{.}1$ For a soil with D$600\mathrm{.}42$ mm$,$ D$300\mathrm{.}21$ mm$,$ and D$100\mathrm{.}16$ mm$,$ calculate the

uniformity coefficient and the coefficient of gradation.

$2\mathrm{.}2$ Repeat Problem $2\mathrm{.}1$ with the following values: D$100\mathrm{.}27$ mm$,$ D$300\mathrm{.}41$ mm$,$

and D$600\mathrm{.}81$ mm$.$

$2\mathrm{.}3$ The following are the results of a sieve analysis:

U$.$S$.$ sieve no$.$ Mass of soil retained $($g$)$

$428$

$1042$

$2048$

$40128$

$60221$

$10086$

$20040$

Pan $24$

a$.$ Determine the percent finer than each sieve and plot a grain$-$size distribution curve.

b$.$ Determine D$10,$ D$30,$ and D$60$ from the grain$-$size distribution curve.

c$.$ Calculate the uniformity coefficient, Cu$.$

d$.$ Calculate the coefficient of gradation, C