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 18. Assume S.= X kPa for slope clay (2 marks) b) If the slope design expects a factor of safety of 2.0, determine the slope angle using the Taylor's method. Assuming S-20kPa for slope clay (3 marks) c) Use Bishop-Morgenstern method to evaluate the ESA stability of the slope having a-18. Assume = 30 and pore pressure co-efficient ru-0.25 (4 marks) d) If an excavation is planned at the toe of the slope, would the slope be vulnerable for short term or long term failure? Give reasons (2 marks) 4m Sa Year 18kN/m Slope clay Su-175 kPa Your 22kN/m Base clay Figure 2: Slope with simple Geometry in Question 5