Question 1 A slope with angle B -45, H = 9 m, cohesion c =20 kN/m²,...
[1] (20 points) A soil slope of 20° consists of H = 5 m of soil overlying on a strong bedrock. The soil has a unit weight of 19 kN/m?, an angle of friction of 15º and a cohesion of 15 kN/m². 20 Soil Rock 20 (1) What is the shear stress developed at the potential sliding surface? (2) What is the maximum shear strength available at the potential sliding surface? (3) What is the factor of safety for the...
Problem 1 For a slope as shown in the figure below. Using the ordinary method of slices (i.e. Fellenius), find the factor of safety for the trial case B = 45',' = 20°, c' = 19.2 kPa, y = 18.08 kN/m, H= 12.2 m, a = 30° and 0 = 700. Hint: You can divide the trial slip surface into 7 slices as below. 700 ① / ② / ③ / 0 / 0 3.2 3 3 3 3 3
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]...
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...
For B < 53° Toe circle Н Midpoint circle DH Slope circle (a) 0.3 0.2 B-53 DE Stability number 4.0 0.1 1.5 2.0 90 SO 70 60 30 20 10 0 50 40 Slope angle. (deg) (b) 3. (20%) A clay layer with a thickness of 12 m is sitting on a firm rock layer with a unit weight of y = 17.5 kN/m', and Cu = 30 kN/m². If a slope is to be excavated in the clay layer...
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?
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...
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...
25 kN 15 kN/m Question 3 Draw the BMD diagram for the shown beam. Assume joint B is a roller and A and C are fixed connections. El is constant. (Use the slope- deflection method) 3 m
Question 1: For the below truss, if 0=20°, calculate: → 5 kN 1.5 m 2 m - 2 m — 9 KN a. The reactions at A and B (15 marks) b. The internal forces in members BD, DC and AB using section method (25 marks)