Example $1$:

A $45$ slope is excavated to a depth of $8m$ in a deep layer of saturated clay of unit

weight $19k\frac{N}{m^3}$ : the relevant shear strength parameters are $c_u=65k\frac{N}{m^2}$ and

${}_u=0.$ Determine the factor of safety for the trial failure surface specified in Figure

$9\mathrm{.}4.$ Check that no loss of overall stability will occur according to the limit state

approach.

In Figure $9\mathrm{.}4,$ the cross$-$sectional area ABCD is $70m^2.$

Figure $9\mathrm{.}4$