For the same dam and the same soil conditions as in Problem $7,$ a $4-$meter$-$long vertical sheet

pile is added at the left end of the dam base:

$($a$)$ Draw the flow net by using $N_f=3.$ Then compute the flow rate $q$ under the dam.

$($b$)$ Compute the water pressures at the heel $($A$)$ and toe $($B$)$ sections of the base of the dam based on

the drawn flow net.

$($c$)$ Compute and plot the water pressure distribution against the upstream face of the dam from $z=$

$17\mathrm{.}0m$ to $z=4\mathrm{.}0m.$

$($d$)$ Compute the resultant of the preceding pressures against the face of the dam, including the sheet

pile section.

$($e$)$ Compute and plot the uplift water pressure distribution along the base of the dam.

$($f$)$ Compute the resultant of the preceding pressures against the base of the dam.

Impervious Layer