Problem 1 For a slope as shown in the figure below. Using the ordinary method of...
Homework 13 Due: 12/03/2018 Name 1 of 1 CVE3715 Problem 1: For the slope shown below, determine the factor of safety against sliding along the circular slip surface AC. Use the ordinary method of slices 27 m 7.5 m BV C 21 m y 19 kN/m3 c'-31 kN/m2 4 240 A30
Question 1 A slope with angle B -45, H = 9 m, cohesion c =20 kN/m², 0=25, y = 17 kN/m is to be constructed; Find; 1- The critical height of the slope. 2- The factor of safety so that Fc = FØ =F (Hint: Taylors stability number) Question 2 A slope of height H=12 m, ß = 50°, r=18 kN/m', c=30 kN/m², Ø = 25° Find the factor of safety using; 1- Ordinary method of slices. 2- Bishop's simplified...
4) A large slope is constructed as shown in the figure below. A failure surface is considered passing through the crest and the toe of the slope. The soil properties are y= 18 kN/m2, c 0 kPa and =25°. The water table is well below the ground surface Using the theory for the stability of an infinite slope, estimate the factor of safety. [5 а. marks] b. Use Fellenius' method to determine the Factor of Safety against failure. [13 marks]...
The following figure shows a slope stability analysis undertaken on a clay slope using the method of slices. The table gives some details of the analysis. Fill in the spaces of the table and compute the factor of safety for the slope. Use the equation for Ordinary (Swedish) method given by + (W cosa - ul) tang') (W sin a) Y=20kNm c' = 20KN/m 6' = 29° (=b/cos Note: W should be equal to bhy Solution: W Wcos | Wsin...
Geomechanics
(b) Figure 1 shows a water retaining embankment with a slope of 1:2 (vertical kN/m'. The clay soil has an undrained cohesion of 30 kPa and a saturated unit weight of i18 following information is given: Area FBDE-42m2 (above water level) Centroidal distance dA-13m Area AED 144m2 (below water level) Centroidal distance, ds -4.5m Angle AOF-83 Radius of circular slip plane, R- 22.5m (i) Determine the total disturbing moment by considering the forces Wa Ws and Pw (Gfi) Determine...
A homogeneous earth embankment is 25 m high and the slope inclination is 2:1 (H:V). The effective cohesion of the embankment is 45 kN/m², its effective friction angle is 25 degrees, and the bulk unit weight is 19.2 kN/m'. Assume the potential failure surface is a plane. Determine the minimum factor of safety of the slope. Follow the procedure outlined on page 347 of your textbook. Assume initial F = 3.2. Is the slope stable?
3. For the embankment in Question 2, if a circular slip surface is assumed as illustrated in Figure Q3, determine the factor of safety corresponding this assumed failure mechanism using Bishop's method. Use no more than 10 slices for the analysis. (0,9 m) Assumed slip plane 9.9 Soil 1 γ = 18 kN/m3 45° 3.5 m 2.9 m (0,0) Figure Q3
3. For the embankment in Question 2, if a circular slip surface is assumed as illustrated in Figure Q3,...
A 6 m deep slope is going to be excavated in a deep soil
deposit. The geometry of the slope is shown in the following
figure. Assume. The soil has the following
properties:
yt = 19
kN/m3,
cu = 20
kPa,
u = 0o
R = 10
m,
AB = 2 m
Water table is well below the toe of the embankment. Note:
only a is a variable input.
Find the net area and the centroid of this net area...
Considering the problem of slope stability: the figure below indicates a section through a slope that is liable to a rotational or slip circle failure. Using the soil parameters given together with the details supplied in the table below, determine the factor of safety against failure, assuming that no tension cracks will form. 8m 8m o O = 90° R= 17.9m 8m Surcharge 5kPa SkPa THT Slice No Base slope 8m Soil data: y = 19kN/m3 C'=10kN/m² '= 35° Area...
1. Using the concepts covered in earth pressure theories (not Taylor's chart), the critical depth of vertical cut in a saturated cohesive soil with c = 15.5kPa and y = 18 kN/m3 will be? a) 0.86 m c) 6.88 m b) 3.44 m d) 1.72 m condition: 2. The upstream and downstream slopes of an earth dam is critical for the a) reservoir partial pool c) steady seepage b) sudden drawdown d) earthquake 3. In the simplified Bishop's method of...