A cut is to be made in a soil having γ = 18 kN/m3, c = 40 kPa, and φ = 15°. The cut slope makes an angle of 30°. a. If H = 6 m and θ = 15°, find the force that tend to cause sliding. b. Find the frictional force. c. Find the cohesive force. d. Find the factor of safety. e. For a factor of safety of 2.0, find the value of the critical angle along which the maximum developed cohesion occurs. f. Determine the depth of cut for a factor of safety of 2.0 g. Determine the developed shear stress along the failure plane h. Determine the developed normal stress alongthe failure plane.

Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN:9781305970939
Author:Braja M. Das, Khaled Sobhan
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Chapter15: Slope Stability
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Problem 15.17P
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4. A cut is to be made in a soil having γ = 18 kN/m3, c = 40 kPa, and φ = 15°. The cut slope makes an angle of 30°.

a. If H = 6 m and θ = 15°, find the force that tend to cause sliding.
b. Find the frictional force.
c. Find the cohesive force.
d. Find the factor of safety.
e. For a factor of safety of 2.0, find the value of the critical angle along which the maximum developed cohesion occurs.

f. Determine the depth of cut for a factor of safety of 2.0
g. Determine the developed shear stress along the failure plane

h. Determine the developed normal stress alongthe failure plane.

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