Please answer exercise $2)$

The ultimate bearing capacity $q_u$ of a strip foundation as proposed by Terzaghi, can be expressed using the

following equation, with the bearing capacity factors $N_c,N_{},$ and $N_q$ :

Strip foundation:

$q_u=c{N}_c+D_f{N}_q+\frac{1}{2}B{N}_{}$

where $c$ is the cohesion, $$ is the unit weight, $B$ is the width of the foundation, and $D_f$ is the embedded

length of the foundation.

Draw the failure slip lines and explain the failure mechanism used by Terzaghi to derive the ultimate

bearing capacity.

Derive the allowable bearing capacity $q_a$ by considering:

a$)$ The safety factor $FS$ applied to the gross ultimate bearing capacity.

b$)$ The safety factor $FS$ applied to the net ultimate bearing capacity.