QUESTION $1$

$[22]$

A square footing $5m$ in length as shown in the figure below is placed on the silty clay layer with $m_v=1\mathrm{.}689{10}^{-3}\frac{m^2}{k}N$ and $C_v=5\mathrm{.}505{10}^{-8}\frac{m}{m}in.$

A $2m$ sandy gravel fill material with a unit weight of $18\mathrm{.}9k\frac{N}{m^3}$ is then placed as shown. Note the fill material is placed immediately after the construction of the footing $($study the drawing carefully!$)$

Estimate:

a$)$ The magnitude of settlement.

b$)$ How long will it take $($in years$)$ for half of the estimated settlement to occur?

c$)$ The time it will take $($in years$)$ for $500mm$ settlement to occur.