$12\mathrm{.}5$ Figure $12\mathrm{.}42$ shows a soil profile. The uniformly distributed load on the ground

surface is $.$ Given: $=1000l\frac{b}{f}{t}^2,H_1=8ft,H_2=15ft,$ and

$H_3=17ft.$ Also,

Sand: ${}_{\text{d}\text{r}\text{y}}=110l\frac{b}{f}{t}^3,{}_{\text{m}\text{a}\text{t}}=115l\frac{b}{f}{t}^3$

Clay: ${}_{\text{s}\text{a}\text{t}}=120l\frac{b}{f}{t}^3,LL=50,e=0\mathrm{.}9$

Estimate the primary consolidation if

a$.$ The clay is normally consolidated

Answer:

$6\mathrm{.}39$ in$.$

b$.$ The preconsolidation pressure is $2600l\frac{b}{f}{t}^2(C_s$~~$\frac{1}{6}{C}_c)$

Answer:

$3\mathrm{.}79in.$

$1.$ Calculate the initial effective stress at the middle of the clay layer, sigma$\_0\text{'}=\_$lb$/$ft$^2($Express your answer with one decimal place$)$ Estimate the compression index, Cc $=\_,$ using Skempton's equation for undisturbed clays. $($Express your answer with two decimal places$).$

$2.$ The primary consolidation in clay Sc $=\_\_\_$ in

$($Express your answer with two decimal places; note that the unit for Sc is inch$)$

$3.$ The primary consolidation in clay Sc $=\_\_\_\_$ Figure $12\mathrm{.}42$ in

$($Express your answer with two decimal places; note that the unit for Sc is inch$)$

All help is greatly appreciated and will lead to thumbs up$.$