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  • Q1: Using Bishop's simplified method of slices determine the factor of safety in terms of effective stress for the trial circle in the slope as shown in Figure 4 (Q5). The properties of the sandy soil are as follows: ys = 20 kN/m³ and o = 30°. Divide the slope cut into at least four slices. Show your values for the heights of the slices andfor a, the inclination of the base to the horizontal both graphically and in a table with the additional information that you need to make the calculation for the factor o fsafety. Full calculation is required for two slices ONLY. F_{s}=\frac{1}{\sum \sin \alpha w} \sum\left[\frac{\left[(w-u b) \tan \varphi_{c n i}^{\prime}\right]}{\left(\cos \alpha+\left(\tan \varphi_{c r i i}^{r} \sin \alpha / F s\right)\right.}\right] (b) If the slope of interest is associated with cohesive soil explain the effect of tension crack likely to have on the slope slip.See Answer
  • Q2: Consider the seepage beneath a retaining wall shown in Figure 1 below. The foundation rock around the wall is homogeneous and isotropic with a hydraulic conductivity of 1 x10 m/s. It extends to an impermeable rock, DEF. The surface of the foundation rock is shown with dashed lines (AD and CF). On the right of CF is crushed gravel which,because of its high permeability, can be treated like a layer of water;, there is no need to consider seepage through it. Above surface AD is a 0.5m deep layer of surface water. The water level in the gravel is at the surface of the gravel layer. For simplicity, take gravitational acceleration to be 10m/s and water density to be 1000kg/m'. a) A larger version of Fig. 1 is provided on supplementary sheet #1 at the end of this examquestion. Construct a quantitatively accurate flow net, with nmsure to attach the sheet to your exam script prior to submission. Indicate numerical valuesfor each equipotential line and the direction of flow.3.5 flow tubes, on it. Be b) Calculate the exit velocity along the exit face (CF). c) Do you anticipate piping? Justify your answer in one or two sentences.[2 d) Calculate the force along AB đue to seepage through the soil. See Answer
  • Q3: The section of a cutting, 14m deep, slope 1% horizontal to 1 vertical is as shown in Figure Q5.For a depth of 5m below the surface, the soil has the following properties: unit weight = 17kNm, øtrit = 32°. Below this, the soil properties are unit weight = 18 kNm3 øcrit = 34°. For the given trial slip surface, find the factor of safety of the slope under conditions of steady seepage using Fellenius method. See Answer
  • Q4: Using the data provided in Table 2, calculate the reflected direct radiation over the sod farm and over Guelph Lake at 1200Hr in July (i.e. the * (blank) values in Table 2). Use average albedo values (decimal format, not %) for grass and water given in Table 3. Show all calculations.Describe and explain your results. (6 marks)See Answer
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