Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Question
Chapter 13, Problem 13.20P
(a)
To determine
Find the critical height of the slope.
(b)
To determine
Find the critical height of the slope.
(c)
To determine
Find the critical height of the slope.
(d)
To determine
Find the critical height of the slope.
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A cut slope was excavated in saturated clays as shown in the figure. The soil has a unit weight of 17 kN/m³ and an undrained shear strength cᵤ = 20 kPa. The slope make an angle of 60° with the horizontal. Assume stability number m = 0.185. Slope failure occurs along the plane AC with BC = 8 m. Which of the following most nearly gives the stability factor?
Chapter 13 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
Ch. 13 - Prob. 13.1PCh. 13 - Prob. 13.2PCh. 13 - Prob. 13.3PCh. 13 - Prob. 13.4PCh. 13 - Prob. 13.5PCh. 13 - Prob. 13.6PCh. 13 - Prob. 13.7PCh. 13 - Prob. 13.8PCh. 13 - Prob. 13.9PCh. 13 - Prob. 13.10P
Ch. 13 - Prob. 13.11PCh. 13 - Prob. 13.12PCh. 13 - Prob. 13.13PCh. 13 - Prob. 13.14PCh. 13 - Prob. 13.15PCh. 13 - Prob. 13.16PCh. 13 - Prob. 13.17PCh. 13 - Prob. 13.18PCh. 13 - Prob. 13.19PCh. 13 - Prob. 13.20PCh. 13 - Prob. 13.21PCh. 13 - Prob. 13.22PCh. 13 - Prob. 13.23PCh. 13 - Prob. 13.25PCh. 13 - Prob. 13.26PCh. 13 - Prob. 13.27CTPCh. 13 - Prob. 13.28CTPCh. 13 - Prob. 13.29CTP
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- A slope is shown in the figure below. If AC represents a trial failure plane, determine the factor of safety against sliding for the wedge ABC. Given: β= 570 , ϒ = 17.5 kN/m3 , φ’ = 13.50 , and c’ =27 kN/m2Please use the Culmann’s method B. Briefly Comment on how to analyze a slope and determine the factor of safety against overturning.arrow_forwardThe figure below shows a slope with an inclination of B = 56°. If AC represents a trial failure plane inclined at an angle 0 = 33° with the horizontal, determine the factor of safety against sliding for the wedge ABC. Given H = 8.4 m; y = 20 kN/m³: ' = 21°; and c' = 36 kN/m?. (Round your final answer to two decimal places.) F, =arrow_forwardQuestion No. 16 A long slope is formed in a soil with shear strength parameters: c' = 0 and d' = 34°. A firm stratum lies below the slope and it is assumed that the water table may occasionally rise to the surface, with seepage taking place parallel to the slope. Use Ysat = 18 kN/m³ and Yw = 10 kN/m³. The maximum slope angle (in degrees) to ensure a factor of safety of 1.5, assuming a potential failure surface parallel to the slope, would bearrow_forward
- For the infinite slope shown in Figure 15.46, determine the height, H, for critical equilibrium. Given: β = 27°, γ = 19.5 kN/m3, ϕ′ = 18°, and c′ = 35.9 kN/m3.arrow_forwardA long slope is formed of a cohesionless soil, as shown below, making an angle of 25 wih horizontal. Soil has angle of internal friction, = 30°, dry unit weight, Yary = 16 kN/ 4 3 m³ and saturated unit weight, Ysat m³. Find the factor of safety for the stability of the slope. Take = 9.81 kN/m³ Yw 3 m. 6 m 25° = 20 kN/ ●arrow_forwardA cut slope was excavated in saturated clays as shown in the figure. The soil has a unit weight of 17 kN/m³ and an undrained shear strength cᵤ = 20 kPa. The slope make an angle of 60° with the horizontal. Assume stability number m = 0.185. Slope failure occurs along the plane AC with BC = 8 m. Which of the following most nearly gives the maximum depth in meters up to which the cut could be made?arrow_forward
- 1) Determine the slope in A and displacement in C (Castigliano's theorem) E 200GPa I=? 4m- &kN/m -4 m 0.25m 0.3marrow_forwardFigure 15.47 shows an infinite slope with H = 9.14 m and the groundwater table coinciding with the ground surface. If there is seepage through the soil, determine the factor of safety against sliding along the plane AB. The soil properties are Gs = 2.7, e = 0.8, β = 16°, ϕ′ = 21°, and c′ = 59.8 kN/m2.arrow_forwardDetermine the value of the slope at Cin degrees. Answer in 3 decimals (1 degree = 1rad*180/pi) 2 KN/m E = 200,000 MPa A I = 15 x 106 mm4 t. 3m 4m Fig. P15.4arrow_forward
- QUESTION 1 Using the ordinary method of slices, design the slope against sliding by using these parameters:- B = 45°, D'1 = 20°, O'2 = 25°,c' = 19.2 kN/m², Y = 18.08 kN/m³, y = 19 kN/m³, Hj=3m, H2= 3m, a = 30°, 0 = 60° Give comments with the number of slices that you choose. QUESTION 2 Design this concrete retaining wall for Factor of Safety against overturning and sliding. Use parameters at Question 1. Assume ground water table at 3m below soil surface, use 8 = 25 .arrow_forwardUse the conjugate beam method and determine the slope at B and the displacement at C. Take L = 1 m, w = 7 kN/m and EI = 10000 kNm². A L Part 1) The magnitude of slope at B, OB B ★ Part 2) The magnitude of displacement at C, Ac = 10-3 rad mm O Larrow_forwardExample 3.7: Water is taken from a large reservoir by a long rectangular channel. Compute the discharge in the channel. Also draw the water surface profile. Given: So = 0.0001, n=0.010 and b=6m. • Note that there is nothing mentioned about the slope type. 4 marrow_forward
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