Laboratory Activity $1.$ Problematic Soil

The first step in determining the need for a ground improvement system for the consolidation of clay is to determine the expected consolidation settlement under the applied foundation settlement For many $($most$)$ structures, a total settlement of $0\mathrm{.}25$ m would be unacceptable.

Problem: A new project is proposed for a large structure supported on a mat foundation. The soil profile, loading conditions, and pertinent properties are shown below. Determine the expected consolidation due to the application of the building load, Delta$*$sigma $=100$ kPa.

Net applied load Delta$*$sigma $=100$kPa

$1\mathrm{.}0$ m

Mat Foundation $200$m x $200$m

$3\mathrm{.}0$ m

Dense Sand gamma $=20$kN $/($m $^3)$

$4\mathrm{.}0$ m

Normally Consolidated Clay gamma sat $=17\mathrm{.}0$ kN$/$m$^3$ C$\_\{$e$\}/(1+$ e$\_\{$o$\})=0\mathrm{.}175$

Dense Sand

Mat foundation loading on normally consolidated clay.

Please answer this $2$ question:

$2.$ Mathematically dividing the four$-$meter thick clay layer into four one$-$meter thick clay layers.

$3.$ Using the weighted average method.