Question $3$

$[13]$

A rectangular column foundation is to be constructed on a soil deposit $($see figure below$).$ The allowable load $Q$ will be vertical. The soil is dry and has an effective cohesion of $c^{\text{'}}=5$kPa, an effective friction angle of ${}^{\text{'}}=32,$ and a total unit weight of ${}_1=19k\frac{N}{m^3}.$ The depth of foundation is $D_f=0\mathrm{.}6m.$ The dimensions of the foundation are $BL=1\mathrm{.}2m1\mathrm{.}5m,$ where the dimension $L$ is perpendicular to the plane of the figure. Assume drained conditions.

Considering the general bearing capacity equations, determine the following values for drained conditions only:

A$.$ The bearing capacity factors $N_c,N_q,$ and $N_{}.$

B$.$ The shape factors $F_{cs},F_q,$ and $F_s.[2]$

C$.$ The depth factors $F_{cd},F_{qd},$ and $F_d.[2]$

D$.$ The load inclination factors $F_{ci},F_{qi},$ and $F_{yi}.$

$2$

E$.$ The ultimate bearing capacity $q_u$ of the foundation $($units of stress$).$

$[3]$

F$.$ The ultimate bearing load $Q$ of the foundation $($units of force$).$

$[2]$