below for:

a$)$ An allowable settlement of $s=40mm$

b$)$ An allowable settlement of $s=20mm$

Use Terzaghi Bearing Capacity Formula. Take ${}_w=10k\frac{N}{m^3},$ F$.$S$.=3\mathrm{.}0,L=8m)$

Hint: Note that the allowable bearing capacity is the bearing capacity including a factor of safety against shear failure together with allowable settlement under foundation. So$,$ calculate the bearing capacity of the foundation using the formulas given and compare your result with the value obtained from the load$-$settlement curve given. Finally decide on the allowable bearing capacity.

$1$

$q_{\text{u}\text{l}\text{t}\text{,}\text{n}\text{e}\text{t}}=\frac{1}{2}*s_{}**B.N_{}+s_c*c*N_c+s_q**D.(N_q-1),q_{\text{a}\text{l}\text{l}\text{,}\text{n}\text{e}\text{t}}=\frac{q_{\text{u}\text{l}\text{t}\text{,}\text{n}\text{e}\text{t}}}{F}.S.$

$\backslash$table$[[$Shape of foundation,$s_c,s_q,s_{}$