Geoscience Reference
In-Depth Information
Fig. 6b
.
As shown in Fig. 6c, the trend of relationship between reinforcement
ratio (R ) and stiffness (Et ) was well depicted. A close agreement between the
experimental and theoretical values of reinforcement ratio was obtained.
Whittle et al. (1992) conducted an experimental and theoretical study to
investigate the mechanism of stress transfer in a reinforced soil mass. The
experimental study was conducted using a plane strain cell, which was modified
to enable tension force in the reinforcement to be measured directly
(Fig. 7a)
.
In
the initial stage of test, a steel plate with known elastic properties was used with
Ticino sand.
A theoretical study based on the shear lag analysis was also conducted for
determining the tensile force developed in reinforcement when the soil undergoes
shear deformation. The tensile stress is expressed as
cosh
p
K
2s
K
1
K
1
ð
L
=
2
2
x
Þ
s
f
xx
¼
1
2
cosh
p
ð
20
Þ
K
1
ð
L
=
2
Þ
where
K
2
s
1
þ
K
2
s
3
K
2s
¼
ð
21
Þ
and
mf
ð
6
1
2
v
m
Þ
a
þ
2
ð
G
m
=
E
f
Þð
1
þ
v
f
Þð
1
2
v
f
Þ
K
1
¼
ð
22
Þ
þ
:
25v
m
2
:
ð
G
m
=
E
f
Þð
þ
v
f
Þ
1
0
1
5
1
v
f
6
mf
v
m
2
2
ð
G
m
=
E
f
Þð
1
þ
v
f
Þ
v
f
K
2
¼
ð
23
Þ
1
þ
0
:
25v
m
2
1
:
5
ð
G
m
=
E
f
Þð
1
þ
v
f
Þ
v
f
6
mf
ð
1
2
v
m
Þð
1
þ
a
Þ
K
2
¼ 2
ð
24
Þ
1
þ
0
:
25v
m
2
1
:
5
ð
G
m
=
E
f
Þð
1
þ
v
f
Þ
v
f
Here G
m
and E
f
are the shear modulus of soil and elastic modulus of
reinforcement, respectively. v
m
and v
f
are the Poisson's ratios of the soil and
reinforcement, respectively, and a
¼
f
=
m
;
with f and m as indicated in Fig. 7b.
The maximum load in a very long reinforcement is determined as
K
2s
K
1
s
f
ð
L
¼ 1Þ¼
ð
25
Þ
Figure 7c compares the prediction with the experimental data. The
distribution and magnitude of the tensile stress were well predicted.
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