(Solved): An infinite slope is shown in the figure. The shear strength parameters at the interface of soil an ...

An infinite slope is shown in the figure. The shear strength parameters at the interface of soil and rock are as follows: \( c^{\prime}=18 \mathrm{kN} / \mathrm{m}^{3} \) and \( \phi^{\circ}=25^{\circ} \). Consider that there is no seepage through the soill). a) If \( \mathrm{H}=8 \mathrm{~m} \) and \( \beta=20 \), find the FOS against sliding on the rock surface, b) If \( \beta=30 \), find the height, \( H \) for which the Fos \( =1 \).