A pilot study of a $2\mathrm{.}52\mathrm{.}5$ square meter foundation supporting a column load of $500kN$ resulted in $50mm$ of settlement after two years. The foundation embedment depth was $1\mathrm{.}2m$ and soil characteristics are as shown with the figure below. Perform the following analysis:

a$)$ Compute the average stress increase $(k\frac{N}{m^2})$ in the clay layer due to the applied load.

b$)$ Determine the primary consolidation settlement $(cm).$

c$)$ Estimate the degree of consolidation $(\%)$ after two years.

d$)$ Compute the clay coefficient of consolidation, $C_v(\frac{m^2}{y}r).$

e$)$ Estimate settlement $(cm)$ after $10$ years. How many years to achieve $99\%$ consolidation?

f$)$ Evaluate soil suitability with recommendation to support the column.

Summarize results for parts a$)$ through e$)$ in the table next to the figure. Neatly write part f$)$ response below the fig$/$table where indicated.

Part f$)$ response: