Problem $1$

Referring to Figure below and using the ordinary method of slices, find the factor of safety with respect to sliding for the following trial cases.

a$.=45,{}^{\text{'}}=20,c^{\text{'}}=400l\frac{b}{f}{t}^2,=115l\frac{b}{f}{t}^3,H=40ft,=30,$ and $=70$

b$.=45,{}^{\text{'}}=15,c^{\text{'}}=18k\frac{N}{m^2},=17\mathrm{.}1k\frac{N}{m^3},H=5m,=30,$ and $=80$