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 center 0. 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 the toe of the slope. Consider the water table to be present at a very large depth from the ground surface. XXX K 60° 25 m 50° 10 m ‒‒‒‒‒‒‒‒‒‒‒‒‒‒ N fm W H L M 7XXX 15 mm Considering the trial slip circle KLM, Find the factor of safety against the failure of slope under undrained condition.

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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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 center 0. 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 the toe of the slope. Consider the water
table to be present at a very large depth from the ground surface.
O
K
60°
25 m
રક્ષા અને આ તેમ જ
50%
10 m
N
W
L
M
15 mm
Considering the trial slip circle KLM, Find the factor of safety against the
failure of slope under undrained condition.
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 center 0. 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 the toe of the slope. Consider the water table to be present at a very large depth from the ground surface. O K 60° 25 m રક્ષા અને આ તેમ જ 50% 10 m N W L M 15 mm Considering the trial slip circle KLM, Find the factor of safety against the failure of slope under undrained condition.
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