Environmental Engineering Reference
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V
W sin i
W cos i
W
C
U
FIGURE 9.66
Block with cleft water pressures
and cohesion.
i
( W cos i U ) tan
W cos
W
W sin
cL
( W cos
)
U
U
( W cos
U ) tan
FIGURE 9.67
Simple wedge acting along continuous surface
with cohesion.
slope ( Figure 9.68b) . Figure 9.69 gives an example of a simple wedge developing in resid-
ual soils. In Figure 9.68,
FS
[ cL
( W cos
θ
U
V sin
θ
) tan
φ
]/ W sin
θ
V cos
θ
(9.10)
where
L
( H
z ) cosec
θ
,
U
1/2
γ w z w ( H
z ) cosec
θ
,
V
1/2
γ w z w 2 ,
W
1/2
γ t H 2 {[1
( z / H ) 2 ]cot
θ
cot i }
(Figure 9.68a)
or W
1/2
γ t H 2 {[1
z / H ) 2 cot
θ
(cot
θ
tan i
1)]
(Figure 9.68b)
Case 5 : Single planar failure surface in clay: location unknown; Culmann's simple wedge
( Figure 9.70) . Assumptions are that the failure surface is planar and passes through the
 
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