Problem $3$:

The figure below shows the soil profile and engineering properties for a site subjected

to a $1-$D loading of ${}^{\text{'}}v=10$ TSM at El$.+5$ m $.$

a$)$ Determine the final consolidation settlement using $2$ layers.

b$)$ Determine the time since start of loading $)=(0$ when the rate of settlement is $2\mathrm{.}00$

$c\frac{m}{?}$ month. Hint: since use $Tv=\frac{U^2}{4}$ to develop an equation for rate

of settlement as a function of total settlement, $H_{Dr},Cv$ and t $.$

c$)$ If the clay had undergone two log cycles of secondary compression before being

loaded $($i$.$e$.\frac{t}{t}p=100$ and the clay is now overconsolidated$),$ determine the new

reduced total settlement.

Note: TSM: tons per square meter

$R_C=C\frac{c}{1}+e_0,R_R=C\frac{r}{1}+e_0$

${}_v=10\mathrm{.}0TCM$

$+5\mathrm{.}0{?}_{\text{d}\text{a}\text{r}\text{r}}^{\text{d}\text{a}\text{r}\text{r}}$

$N.C.$ Clay:

$R_R=0\mathrm{.}022$

$R_C=0\mathrm{.}295$

$Cv=0\mathrm{.}25\frac{m^2}{m}on$

$C_{}=0\mathrm{.}013$

${}_t=1\mathrm{.}70TCM$

$-10\mathrm{.}0$

Dense Gravel