Question $1$

Suppose you were given $3$ soil samples $A,B$ and $C$ that were collected from $3$ different boreholes. Following the ASTM$2487$ testing procedure, the particle size distribution curves of the redeemed soils were plotted as shown in the below, using the universal soil classification system $($USCS$)$:

$\backslash$table$[[$Gravel$,$Sand,Silt,Clay,$],[,$Coarse,Medium,Fine,,$],[,,,,,]]$

$1\mathrm{.}1.$ Determine $D_{10},D_{30},$ and $D_{60}$ for soil $A.$

$(3)$

$1\mathrm{.}2.$ With your answers from Q$1\mathrm{.}1.,$ calculate the coefficient of uniformity $(C_u)$ and gradation coefficient $(C_c)$ for soil $A.$

$(4)$

$1\mathrm{.}3.$ Based on the information obtained from Q$1\mathrm{.}1.$ and Q$1\mathrm{.}2.,$ the material can be classified. Classify soil A$,$ provide a clear explanation and analysis showing how you got to your final decision.

$(4)$

$1\mathrm{.}4.$ If soil B has a plastic limit $($PL$)$ of $45\%$ and liquid limit $($LL$)$ of $49\%,$ what would soil B be classified as$?$

$(4)$

$[15$ Marks$]$