The figure below picturizes a rock slope containing a planar sliding surface and a vertical tension crack. The tension crack is partly-filled with water due to the water table intersecting the slope face where the sliding surface daylights on the face. The water pressures in the tension crack and on the sliding surface are approximated by the triangular force diagrams illustrated in the figure. The slope has been reinforced by a tensioned rock anchor. Assume that; TIRTRIT TR A: the area of the sliding surface. c: the cohesion of the sliding surface : the internal friction angle of the sliding surface yp: the dip of the sliding surface. YT: anchor installation angle from the horizon. hw: the height of water column in the tension crack. Yw: the unit weight of water W: the weight of the block V and U: the water forces acting in the tension crack, and on the sliding plane, respectively. So, by taking this geometrical, physical, and mechanical circumstances into the account, derive the governing equation step by step, which defines the factor of safety (Fs) of this anchored, partially saturated slope. T: the tension in the anchor. L: Length of the sliding surface 1: the width of the block

Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN:9781337705028
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter16: Lateral Earth Pressure
Section: Chapter Questions
Problem 16.5P
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The figure below picturizes a rock slope containing a planar sliding surface and a
vertical tension crack. The tension crack is partly-filled with water due to the water
table intersecting the slope face where the sliding surface daylights on the face. The
water pressures in the tension crack and on the sliding surface are approximated by
the triangular force diagrams illustrated in the figure. The slope has been reinforced
by a tensioned rock anchor. Assume that;
A: the area of the sliding
surface.
TROT
c: the cohesion of the sliding
surface
p: the internal friction angle of
the sliding surface
I
yp: the dip of the sliding surface.
YT: anchor installation angle
from the horizon.
hw: the height of water column in
the tension crack.
Yw: the unit weight of water
W: the weight of the block
V and U: the water forces acting
in the tension crack,
and on the sliding
plane, respectively.
So, by taking this geometrical, physical, and
mechanical circumstances into the account,
derive the governing equation step by step,
which defines the factor of safety (Fs) of this
anchored, partially saturated slope.
T: the tension in the anchor.
L: Length of the sliding surface
1: the width of the block
517
Transcribed Image Text:The figure below picturizes a rock slope containing a planar sliding surface and a vertical tension crack. The tension crack is partly-filled with water due to the water table intersecting the slope face where the sliding surface daylights on the face. The water pressures in the tension crack and on the sliding surface are approximated by the triangular force diagrams illustrated in the figure. The slope has been reinforced by a tensioned rock anchor. Assume that; A: the area of the sliding surface. TROT c: the cohesion of the sliding surface p: the internal friction angle of the sliding surface I yp: the dip of the sliding surface. YT: anchor installation angle from the horizon. hw: the height of water column in the tension crack. Yw: the unit weight of water W: the weight of the block V and U: the water forces acting in the tension crack, and on the sliding plane, respectively. So, by taking this geometrical, physical, and mechanical circumstances into the account, derive the governing equation step by step, which defines the factor of safety (Fs) of this anchored, partially saturated slope. T: the tension in the anchor. L: Length of the sliding surface 1: the width of the block 517
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