A long slope is formed in a soil with shear strengthparameters: c´ = 0, d' = 34°. Firm stratum lies%3Dbelow the slope and it is assumed that watertable may occassionally rise to the surface, withseepage taking place parallel to the slope. UseYsat = 18 kN/m3 and Yw =10 kN/m3. Themaximum slope angle (in degree) to ensure thefactor of safety 1.5, assuming a potential failuresurface parallel to the slope, would be

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Engineering

Civil Engineering

A long slope is formed in a soil with shear strength

Principles of Geotechnical Engineering (MindTap Course List)

9th Edition

ISBN:9781305970939

Author:Braja M. Das, Khaled Sobhan

Publisher:Braja M. Das, Khaled Sobhan

Chapter15: Slope Stability

Section: Chapter Questions

Problem 15.30P

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Question

A long slope is formed in a soil with shear strength
parameters: c´ = 0, d' = 34°. Firm stratum lies
%3D
below the slope and it is assumed that water
table may occassionally 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 degree) to ensure the
factor of safety 1.5, assuming a potential failure
surface parallel to the slope, would be

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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.
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.
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.
Figure 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.
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