From Homework $6$:

Use weight$-$volume relationships to determine the total unit weight of the clay layer.

Ans: ${}_T=18\mathrm{.}384293059126k\frac{N}{m^3}$

Use weight$-$volume relationships to determine the initial void ratio of the clay layer.

Ans: $e_0=0\mathrm{.}945$

What is the initial vertical effective stress at the midpoint of the clay layer?

Ans: ${}_{v0}^{\text{'}}=45\mathrm{.}5028663239075$kPa

Consider a $6300kN$ load $(Q)$ distributed over a $1\mathrm{.}52\mathrm{.}5m$ footing $(BL).$ Find the increase in total stress $($i$.$e$.$ induced stress$)$ at the midpoint of the clay layer beneath the center of the loaded area $($hint: you need to use superposition with the Boussinesq method for a rectangular area load, and remember that $"z"$ is the distance to the midpoint of the clay layer below the footing, not below the ground surface$).$

Ans: ${}_v^{\text{'}}=322\mathrm{.}799565009885$kPa

A one$-$dimensional incremental consolidation test sequence was performed on a soil sampled from the midpoint of the clay layer. The results indicated the following:

The preconsolidation pressure is $265$kPa

The compression index is $0\mathrm{.}30$

The recompression index is $0\mathrm{.}06$

The coefficient of consolidation is $1\mathrm{.}70m\frac{m^2}{m}in$

Calculate the overconsolidation ratio $($OCR$).$

Calculate the total expected primary consolidation settlement of the clay layer in centimeters.

Estimate how long, in days, it will take for the clay layer to reach $75\%$ primary consolidation settlement.