An infinitely long slope is made up of a c-ôsoil having the properties: cohesion (c)=20 kPa, and dry unit weight (yd)= 16kN/m³. The angle of inclination and critical height of the slope are 40 ° and 5 m respectively. To maintain the limiting equilibrium, the angle of internal friction of the soil (in degree) is

An infinitely long slope is made up of a c-ôsoil having the properties: cohesion (c)=20 kPa, and dry unit weight (yd)= 16kN/m³. The angle of inclination and critical height of the slope are 40 ° and 5 m respectively. To maintain the limiting equilibrium, the angle of internal friction of the soil (in degree) is

Fundamentals of Geotechnical Engineering (MindTap Course List)

5th Edition

ISBN:9781305635180

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter13: Slope Stability

Section: Chapter Questions

Problem 13.27CTP

See similar textbooks

Similar questions

3. An infinite slope has shear strength parameters at the interface: c = 30 kPa, φ = 30°, γ = 17 kN/m3 (Assume 1 m strip perpendicular to the paper and 1 m strip along the inclination of the infinite slope). a. If H = 5 m, and β = 20°, find the sliding force. b. If H = 5 m, and β = 20°, find the force that resist sliding on the rock surface. c. If HCR = 8 m, find the minimum angle β so that the slope is stable.
Given an infinite slope with the following properties: γ = 17 kN/m3, H = 5 m, β = 34°, φ = 25° and c = 20 kPa. a. Determine the normal stress. b. Determine the shear stress. c. Determine the factor of safety.
A long slope is made up of a cohesionless (c'=0) soil with the internal friction angle of 34°. If the water table rises to the surface of the slope, then determine the maximum possible value of the slope angle to get a factor of safety of 1.5. Take saturated unit weight as18 kN/m3 and the unit weight of water as 10 kN/m3.
Q.1. Refer to the infinite slope shown in Figure 1. Given: β = 19 ͦ, ɣ = 20 kN/m3 , Ø = 33 ͦ, and c’ = 47 kN/m2 . Find the height, H, such that a factor of safety, Fs = 3.1 is maintained against sliding along the soil-rock interface.
An infinite slope consists of bed rock inclined at 15° to the horizontal that is covered by 4 m (measured vertically) soil with ?′=10?N/?2, ?′=24° and ?=19.0?N/?3.a. What is the factor of safety of this slope?b. If there is steady state seepage through the soil, with the water table coinciding with the ground level, what would be the factor of safety? Assume ?sat = 19.0?N/?3.
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.
A rectangular dam has a height and width of 25 m and 15 m, respectively. The depth of water on one side of the dam is 20 m, and the coefficient of friction between the dam and the foundation is 0.8. Neglect the effect of hydrostatic uplift. Determine the hydrostatic force on one side of the dam considering 1-meter strip. Calculate the factor of safety against sliding if the specific gravity of the dam is 2.31. Evaluate the factor of safety against overturning.
Figure 2 shows a slope with an inclination of : β = 58 ͦ. If AC represents a trial failure plane inclined at an angle θ = 32 ͦ with the horizontal, determine the factor of safety against sliding for the wedge ABC. Given: H = 6 m; ɣ = 19 kN/m3, Ø =21 ͦ, and c’= 38 kN/m2
A level site underlain by fully saturated clays is cut over a few days as shown in the figure below. The water table is located at the ground surface across the site. Determine the resisting moment in kN.m for the circular slip surface depicted in the Figure below shortly after excavation. Consider the soil wedge above the circular slip surface as a single free body, whose plane area is equal to 100 m2 and the centre of gravity of the soil wedge is given at Point C.
Q.1. Refer to the infinite slope shown in Figure 1. Given: β = 19 ͦ, ɣ = 20 kN/m3 , Ø = 33 ͦ, and c’ = 47 kN/m2 . Find the height, H, such that a factor of safety, Fs = 3.1 is maintained against sliding along the soil-rock interface. Also Determine the thrust on the wall if the water table rises to a level 2 m below the surface of the sand. The saturated unit weight of the sand is 20 kN/m3 .