Question $7.($Foundation Design: $20$ Marks$)$

Determine the ultimate load for the strip foundation shown in Figure $3$ below:

$($a$)$ for the conditions immediately after load application $($i$.$e$.,$ short$-$term loading$)$

$($b$)$ for long$-$term conditions

$($c$)$ How much will the ultimate load for $($b$)$ will change, if the ground water table $($GWT$)$ rises to

the base of the foundation?

Use Terzaghi's bearing capacity theory. Clearly state the assumptions used in solving the problems, if

any.

Assume $={}_d=18k\frac{N}{m^3}$;${}^{\text{'}}=32$;$c^{\text{'}}=10$kPa;$c_u=60$kPa;$D_f=1\mathrm{.}0m$; Depth of GWT below

base of foundation $=1\mathrm{.}0m$; Width of foundation, $B=2\mathrm{.}5m$; Assume $G=2\mathrm{.}7.$

Figure $3$