A simple geometry of a slope is shown in Figure 2, with homogeneous deposit of soft clay on a stiffer clay at the bottom. Properties and thicknesses of the layers are as showed in the figure. a) Use Taylor's method to determine the factor of safety if the slope angle (a) is 20. Assume Su-X kPa for slope clay (2 marks) b) If the slope design expects a factor of safety of 1.8, determine the slope angle using the Taylor's method. Assuming Su-15kPa for slope clay (3 marks) c) Use Bishop-Morgenstern method to evaluate the ESA stability of the slope having a=14. Assume es = 30 and pore pressure co-efficient ru-0.65 (4 marks) d) If the slope is part of an embankment, would the slope be vulnerable for short term or long term failure? Give reasons (2 marks) 4m 3m X m Year 17.5kN/m Slope clay Su-175 kPa Year 22kN/m Base clay Figure 2: Slope with simple Geometry