Problem $2(30$ pts$.)$

A soil profile shown below in the figure is subjected to a uniformly distributed loading $q=200k\frac{N}{m^2}.$ Assume the load is applied instantaneously.

a$)$ Estimate the magnitude of primary consolidation settlement for the clay layer due to the application of the loading. $(8pts.)$

b$)$ Plot the distribution of pore pressure with depth in the clay layer immediately after the loading is applied. $(5$ pts$.)$

d$)$ What will be the OCR value $($overconsolidation ratio$)$ for a soil element at the mid$-$height of the clay layer $($NOT point A$!)$ after the soil completes consolidation? $(pts.)$

e$)$ Calculate the pore pressure and effective stress at point $A$ of the clay layer $5$ years after the loading is applied, and the OCR value at that time instance. $(7$ pts$.)$

f$)$ How long it will take to reach $80\%$ of the final primary consolidation settlement? $(5$ pts$.)$

Sand