geotechnical engineer in charge at a specific site has decided to use an anchored sheet pile wall system penetrating clayey soil $($next page$).$ The anchor tie rod is located at point O$\text{'}$ and will be contributing with a force $"$F$"$ against the lateral pressure from the backfill.

The lateral pressure distribution diagram above the dredge line is identical to that of cantilever sheet pile wall penetrating clay $($as shown in your class note$).$ However, the net pressure distribution diagram below the dredge line is simpler, since the theoretical depth of penetration of the sheet pile will be considerably reduced due to the addition of an anchor tie rod.

For a given set of soil properties and sheet pile dimensions, as shown below:

$$Determine the actual depth of embedment $"$D$"$ using a $40\%$ increase of theoretical depth of embedment as factor of safety $($FOS$).$

$$Determine the magnitude of the anchor force $"$F$"$ using the actual depth of embedment $"$D$"$ obtained in part $($A$).$

Soil

Y

Ysat

$\text{'}$

Sand

$17$ KN$/$m

$19$ KN$/$m$3$

$32$

Clay

$-$

$18$ KN$/$m$?$

$42$ KN$/$m$?$