Slope Stability Analysis

Part A$(10$ points$)$

Determine the factor of safety for a simple slope using the infinite slope model.

Assume the slope angle $=300,$ the cohesion $c=15$kPa, and the angle of internal

friction $=200.$ The unit weight of the soil $y=18k\frac{N}{m^3}.$

The factor of safety FS can be calculated using:

$FS=\frac{c*\text{w}\text{i}\text{d}\text{t}\text{h}+*\text{w}\text{i}\text{d}\text{t}\text{h}*\text{h}\text{e}\text{l}\text{g}\text{h}\text{t}*tan()}{*\text{w}\text{i}\text{d}\text{t}\text{h}*\text{h}\text{e}\text{i}\text{g}\text{h}\text{t}*tan()}$

Assuming the width of the slope is $1$ meter and height is $1$ meter

Part $B(5$ points$)$

Determine the factor of safety if angle of internal friction $=50$

Part C $(10$ points