Geoscience Reference
In-Depth Information
TABLE 7.2 PRACTICAL VALUES FOR
K
0
type of soil
K
0
type of soil
K
0
loose sand
0.4 - 0.6
normal clay
0.5 - 0.7
dense sand
0.3 - 0.5
over-consolidated clay
1.0 - 4.0
peat
0.1 - 0.6
compacted clay
0.7 - 2.0
In case of saturated soil, the local pore pressure
u
plays a role. It can be
incorporated by adding it to all effective stresses. In this respect, the coefficient of
earth pressure in terms of total stress becomes, by elaboration of equation (7.5a) for
c
= 0 and an apparent total-stress earth pressure coefficient
K
p,total
.
h
=
h
'+u = K
p
v
'+u = K
p
(
v
) +
u
(1
K
p
)
K
p,total
=
h
/
v
= K
p
+
(1
K
p
)
u/
v
(7.5c)
which reveals how the pore pressure is involved. For the active state a similar
analysis can be made.
A
total stress circle
B
c
1
2
'
1
'
2
s
'
s
u
c
pore pressure
B'
effective stress circle
A'
Figure 7.5 Effect of pore pressure for the Mohr-Coulomb model
D
TRIAXIAL CELL
In a triaxial cell the stress and strain state have a cylindrical symmetry
35
, i.e. in
the horizontal direction they are invariant:
3
. The vertical and
horizontal directions are principal directions (no shear stress and deformation).
The total stress state may be expressed in terms of the deviator stress
q
and the
mean normal stress
p
, according to
2
=
3
and
2
=
q =
1
-
2
and
p =
(
1
+
2
3
)/3
(7.8)
35
In the triaxial compression test the vertical direction is assigned to suffix 1, and
horizontal to suffix 2 or 3.
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