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Figure 10
Analysis of sliding surface.
3.2 Consistent Design Method of Reinforced Wall and Steep
Slope
3.2.1 Analysis of Earth Pressure
Figure 10 shows a steep slope or wall of cohensionless soil. The slope angle is
bf
:
,
b
#
p
=
2
It
is well known that
the condition of stability of a
cohensionless slope is b
f. Assume that the same soils are covered on the
steep slope to form a slope with angle f; the slope is on limit equilibrium.
Analyzing the wedge AOZ with elasticity theory, where Ary's function is a
polynomial with three powers and is based on the boundary condition of the
wedge (see Fig. 10), the following solution can be obtained:
#
s
g
¼
tanfK
a
gx
2
K
a
gz
gx
2
1
þ
tan
2
fK
a
gz
s
z
¼
tan
3
fK
a
þ
tanf
ð
4
Þ
tan
2
fK
a
gx
t
gz
¼
2
tanfK
a
gz
Figure 11
Balance of wedge on OB.
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