An unsupported slope of height 15 m is shown in the figure (not to scale), in which the slope face makes an angle 50° with the horizontal. The slope material comprises purely cohesive soil having undrained cohesion 75 kPa. A trial slip circle KLM with a radius 25 m, passes through the crest and toe of the slope and it subtends an angle 60° at its centre O. The weight of the active soil mass (W, bounded by KLMN) is 2500 kN/m, which is acting at a horizontal distance of 10 m from toe of the slope. Consider the water table to be present at a very large depth from the ground surface. K 60° + 50° 10 m 25 m N W 7800 15 m Considering the trial slip circle KLM, the factor of safety against the failure of slope under undrained condition (round off to two decimal places) is

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 15.17P
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An unsupported slope of height 15 m is shown in the figure (not to scale), in which
the slope face makes an angle 50° with the horizontal. The slope material comprises
purely cohesive soil having undrained cohesion 75 kPa. A trial slip circle KLM with a
radius 25 m, passes through the crest and toe of the slope and it subtends an angle
60° at its centre O. The weight of the active soil mass (W, bounded by KLMN) is 2500
kN/m, which is acting at a horizontal distance of 10 m from toe of the slope. Consider
the water table to be present at a very large depth from the ground surface.
K
60°
F
50⁰
10 m
25 m
W
L
M
700
15 m-
Considering the trial slip circle KLM, the factor of safety against the failure of slope under
undrained condition (round off to two decimal places) is
Transcribed Image Text:An unsupported slope of height 15 m is shown in the figure (not to scale), in which the slope face makes an angle 50° with the horizontal. The slope material comprises purely cohesive soil having undrained cohesion 75 kPa. A trial slip circle KLM with a radius 25 m, passes through the crest and toe of the slope and it subtends an angle 60° at its centre O. The weight of the active soil mass (W, bounded by KLMN) is 2500 kN/m, which is acting at a horizontal distance of 10 m from toe of the slope. Consider the water table to be present at a very large depth from the ground surface. K 60° F 50⁰ 10 m 25 m W L M 700 15 m- Considering the trial slip circle KLM, the factor of safety against the failure of slope under undrained condition (round off to two decimal places) is
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