Problem $2$:

A $5$ meter high soil surcharge

$({}_z)$ will induce the pre$-$

consolidation process

$\{$:$18\mathrm{.}1k\frac{N}{m^3}).$

All calculations below should be conducted at the POI, $1$ meter below the top of the $4\mathrm{.}0m$

thick clay layer $($as shown$).$

Optional $($but recommended$)$: Please write the general relationship first using proper

notation, symbols, subscripts, and time designations as we practiced in class, and THEN plug

in numbers. This will help you solidify the material.

Task $1$: Calculate initial total vertical stress.

Task $2$: Calculate the initial pore pressure.

Task $3$: Calculate the initial vertical effective stress.

Task $4$: Calculate the change in total vertical stress due to the soil surcharge load.

Task $5$: Calculate the final effective stress at the end of the consolidation process.

Task $6$: What is the total vertical stress at the end of the consolidation process?

Task $7$: What is the total pore pressure at $t=0+?$

Task $9$: What is the excess pore pressure equal to at $t=0+?$

Task $10$: What is the excess pore pressure equal to at the end of consolidation?

Task $11$: What is the effective stress equal to at $t=0+?$

Task $12$: What is the change in effective stress at the end of the consolidation process?