$(45$P$)$

A $4m40m$ continuous footing to be founded at a depth of $2m$ and the site profile is shown in the figure below. Cone resistance values obtained from CPT are also shown in the figure. The soil at this site consists of normally consolidated silty sands. The groundwater table is at a depth of $4m$ below the ground surface: $A415k\frac{N}{m}$ load is to be supported on this continuous footing

a$)$ Compute the settlement of this footing soon after construction $(t=0\mathrm{.}1$ years$)$:

b$)$ Compute the settlement $30$ years after construction.

Given:

Use $8$ layers as shown in the figure to solve the problem,

"Yromots $=23\mathrm{.}5k\frac{N}{m^3},$ use unit weight of concrete to calculate the weight of footing

${?}^{**}{Y}_{or}=18k\frac{N}{m^2}$ and $Y_{me}=21k\frac{N}{m^3}.$