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Zhao bo Int. Journal of Engineering Research and Application www.ijera.com
ISSN : 2248-9622, Vol. 5, Issue 2, ( Part -1) February 2015, pp.19-21
www.ijera.com 19 | P a g e
Influence of space of double row piles on soil arching effect
Zhao bo, Zhai Yong-chao
(School of Civil Engineering and Architecture,Chongqing JiaotongUniersity,Chongqing 400074,China)
Abstract
FLAC3d software, based on continuous theory, is used to analysis influence of space of double row piles on soil
arching effect. The result shows that different from single row pile, double row piles will produce soil arching
effect at front pile and rear pile severally, this phenomenon is called multiple soil arching effect; the residual
load of front of front row pile will increase,the soil arch zone and the soil arching effect will decrease with the
continuous increase of double row pile spacing.At the same time the soil arching effect of rear pile decreases,
while the soil arching effect of front pile increases and finally the soil arching effect between front pile and rear
pile will be equal.
Keyword: double row piles; the space of piles; FLAC3d; soil arching effect
I. Introduction
Anti-sliding pile in discrete construction to
realize continuous retaining, soil arching effect plays
an important role in realizing discrete to continuous.
Terzaghi discovered the soil arching effect in
1943(Terzaghi, 1943). A lot of experiments,
theoretical analysis, numerical simulation, and
engineering practice show that: soil arching effect
exit widely in anti-sliding pile retaining, and which is
mainly composed of retaining mechanism(Ladanyi,
1969; Koutsabeloulis, 1989; Adachi, 2002; C-Y
ChenE, 2005).
Although people have done detail system
research on soil arching effect, but mainly on single
row pile(Zhao Ming-hua, 2006; WANG W L,1974;
Zhou Ying-hua,2006; JIA Hai-li, 2003; Yang Ming,
2007). The study of double row piles soil arching
effect is still at the starting stage compared to single
row pile. Most simply analyzes the mechanical effect
of double row piles. However, there are still many
issues worth exploring, the spacing of double row
piles is one of them. The spacing of double row piles
is directly related with double row piles retaining
effect of the paly and the degree of engineering safety
and economy, it has a very important guiding for
design of double row piles. Based on this, the paper
gives a detailed analysis on the effect of space of
double row piles on soil arching effect, hopes to
provide reference for related engineering.
II. Calculation model
This model uses the unit thickness of soil taken
as analysis object. The picture shown in Figure 1.
The cross-section of double row piles is square,
length of c for double row piles cross-section: c=1m.
the spacing of double row piles is L, L are 2c, 4c, 6c,
8c, 10c, 12c; the distance of front row and rear pile is
d: d=3c, according to symmetry along the X axis take
the interquartile range two pile center; in order to
reduce boundary effect, but not affect the calculation
accuracy, 10 times calculation area is taken where at
front of front pile and rear of rear pile.
Soil material is homogenous soil, pile body use
C30 concrete, the parameters are show in Table 1.
Soil material and pile body use mohr-coulomb model
and elastic model, interface between pile and soil use
Goodman contact unit. In addition to loading
boundary, the other boundary are arranged normal
displacement constraint, piles full constraints.
Landslide thrust q can be simulated by applying a
uniform load in load boundary, q=10kpa.
rearpile
frontpile
Figure 1 the top view of double-row pile calculation
model
Table1. Material Calculation Parameters
Elasticity
/MPa
Poiss
ion
Coh/
kPa
Frictio
n/(º)
Dilatio
n/(º)
Tension/
kpa
soil 5 0.3 40 30 0 20
pile 3*104
0.2 / / / /
III. Influence of space of double row piles
on soil arching effect
Keeping other model parameters constant, along
changing the spacing of double row piles to analysis
RESEARCH ARTICLE OPEN ACCESS
Zhao bo Int. Journal of Engineering Research and Application www.ijera.com
ISSN : 2248-9622, Vol. 5, Issue 2, ( Part -1) February 2015, pp.19-21
www.ijera.com 20 | P a g e
its influence on soil arching effect of double row piles.
a b c d e f
a-2c;b-4c;c-6c;d-8c;e-10;f-12c
Figure 2 Nephogram of maximum principal stress of soil around piles
The Figure 2 shows nephogram of maximum
principle stress of soil around double row piles under
the spacing of double row piles
L=2c、4c、6c、8c、10c、12c. From Figure 2 we
can knows that the spacing of double row piles have
a large influence on soil arching effect, when L=2c
only in the rear row pile forms obvious soil arching,
almost no soil arching forms at front row pile. When
L=4c soil arching effect at front pile begins the
formation, front row pile and rear row pile officially
begins forming multiple soil arching effect. When
L=6c, multiple soil arching effect of double row piles
has been strengthened, and the front row pile begins
to form weak anti-stress arching .When L=8c, the
interface of soil arching effect between front row pile
and rear row pile become fuzzy, and has the trend of
convergence, and the anti-stress arching has been
further enhanced, the enhance of anti-stress arching
illustrates the outflow of soil from piles, indirect
evidence of weakening of double row piles soil
arching effect. When L>10c, font pile and rear pile
have a trend of considered as a whole pile and
forming a large single layer soil arching, while the
anti-stress arching of front pile becomes very large,
illustrating a large loss of soil from piles, and the soil
arching effect is strongly weakened. In a word, with
the increase the spacing of double row piles, the soil
arching effect is weakening, and in L>6c front row
begins to have anti-stress arching, that proving the
soil arching effect has entered a rapid weakening
period. So the pile spacing L should not be greater
than 6c.
-20
-10
0
10
20
1x10
3
2x10
3
3x10
3
4x10
3
x
/pa
x/m
L=2c
L=4c
L=6c
L=8c
L=10c
L=12c
Figure 4 distribution curve of 𝜎𝑦 in axle wire
-10
-5
0
5
10
3.0x10
3
6.0x10
3
9.0x10
3
1.2x10
4
x
/pa
x/m
L=2c
L=4c
L=6c
L=8c
L=10c
L=12c
Figure 5 distribution curve of σ_xin axle wire
Figure 3 shows the distribution curve of σ_y
under different spacing of double row piles. From
Figure 3 we can know that with the increase of
spacing of piles, the residual stressσ_y of font row
pile in Y direction is strengthening, it suggests that
double row piles can bear load is reducing, and the
soil arching effect of double piles is weakening with
the increase of the spacing of double row piles.
Zhao bo Int. Journal of Engineering Research and Application www.ijera.com
ISSN : 2248-9622, Vol. 5, Issue 2, ( Part -1) February 2015, pp.19-21
www.ijera.com 21 | P a g e
Figure 4 shows the distribution curve of σ_y
under different spacing of double row piles. From
Figure 4 we can know that with the increase of
spacing of piles, the residual stress σ_xof font row
pile in X direction is strengthening, it suggests that
the soil arch zone of double row piles is reducing,
and the soil arching effect of double piles is
weakening with the increase of the spacing of double
row piles.
5 10
0.70
0.75
0.80
0.85
0.90
archzoneofdoublepiles
arch zone of double piles 
*c
a-arch zone of double row piles
5 10
0.3
0.4
0.5
0.6
0.7
archzoneofrearpile1
*c
arch zone of rear pile 1
b-the arch zone of rear row pile 1
5 10
0.55
0.60
0.65
0.70
0.75
archzoneoffrontpile
*c
arch zone of front pile2
c-the arch zone of front row pile 2
Figure 5The soil arch zone α_iof different load
Figure 5 shows the arch zone of double row piles
under different spacing of piles. As 5-a, 5-b shows
that Both total arch zone of double row piles and arch
zone of rear row pile approximate linear decrease
with the increase of spacing of double row piles. The
arch zone of front row pile rapid rise in L<4c, and
reach a maximum in L=4c, and then with the
continuous increase of piles spacing, the arch zone of
front row pile also shows a linear decrease. So
considering economy and play a role in optimization
of front row pile and rear row pile, suggestions of
double row piles spacing between 4c-6c.
IV. Conclusion
1 The soil arching effect will be produced first at
rear pile second at front pile, and finally forms
multiple soil arching effect with the increase of
spacing of double row piles. When L>8c, the
anti-stress arching will be produced obvious.
2 With the increase spacing of double row piles the
residual stress of front of front row pile is
enhancing, this make the arch zone of double
row pile decrease.
3 Both total arch zone of double row piles and arch
zone of rear row pile approximate linear decrease
with the increase of spacing of double row piles.
The arch zone of front row pile increase at first
and in the tendency of decrease, and reach the
peak at L=4c.
4 Based on above analysis, suggestions of double
row piles spacing of L in 4c to 6c.
Reference
[1] TERZAGHI K. Theoretical soil
mechanics[M]. NEW YORK, NY: john
Wiley&sons,1943.
[2] LADANYI B, HOYAUX B.A study of the
trap door problem in a granular mass[J].
Canadian Geotechnical Journal, 1969,
6(1):1-14.
[3] KOUTSABELOULIS N C, GRIFFITHS D
V. Numerical modeling of the trap door
problem[J]. Geotechnique,1989,39(1):77-89.
[4] ADCHI T,KIMURA M,TADA S. Analysis
on the preventive mechanism of landslide
stabilizing Piles[C ]//Proc. 3rd International
Symposium on Numerical Models in
Geomechanices (NUMOG III). [S.I.]:
Elsevier Applied Science,1989:691-698.
[5] MARTIN G R, CHEN C Y. Response of
piles due to lateral slope movement[J].
Computers and Structure, 2005,83:588-598.
[6] Zhao Ming-hua, Chen Bing-chu, Liu Jian-
hua. Analysis of the Spacing between Anti-
slide Piles Considering Soil-Arch Effect,
Journal of Central South Highway
Engineering, 2006, 31 (2):1-3.
[7] WANG W L, YEN B C.Soil arching in
slopes [J]. journal of the geotechnical
engineering division
ASCE,1974,100(GT1):61-78.
[8] Zhou Ying-hua, Zhou De-pei, Feng Jun.
Geometrically mechanical characters of soil
arch between two adjacent laterally loaded
piles and determination of suitable pile
spacing, Rock and Soil Mechanics, 2006,
27(3):455-462.
[9] JIA Hai-li, WANG Cheng-hua, Li Jang-
hong. Discussion on Some Issues in Theory
of Soil Arch. JOURNA L OF
SOUTHWEST JIAO TONG UNIVERSITY,
2003, 38(4): 398-403.
[10] Yang Ming, Yao Ling-kan, Wang Guang-
jun. Study on effect of width and space of
anti-slide piles on soil arching between
piles, Chinese Journal of Geotechnical
Engineering, 2007,29(10):1477-1482.

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Influence of space of double row piles on soil arching effect

  • 1. Zhao bo Int. Journal of Engineering Research and Application www.ijera.com ISSN : 2248-9622, Vol. 5, Issue 2, ( Part -1) February 2015, pp.19-21 www.ijera.com 19 | P a g e Influence of space of double row piles on soil arching effect Zhao bo, Zhai Yong-chao (School of Civil Engineering and Architecture,Chongqing JiaotongUniersity,Chongqing 400074,China) Abstract FLAC3d software, based on continuous theory, is used to analysis influence of space of double row piles on soil arching effect. The result shows that different from single row pile, double row piles will produce soil arching effect at front pile and rear pile severally, this phenomenon is called multiple soil arching effect; the residual load of front of front row pile will increase,the soil arch zone and the soil arching effect will decrease with the continuous increase of double row pile spacing.At the same time the soil arching effect of rear pile decreases, while the soil arching effect of front pile increases and finally the soil arching effect between front pile and rear pile will be equal. Keyword: double row piles; the space of piles; FLAC3d; soil arching effect I. Introduction Anti-sliding pile in discrete construction to realize continuous retaining, soil arching effect plays an important role in realizing discrete to continuous. Terzaghi discovered the soil arching effect in 1943(Terzaghi, 1943). A lot of experiments, theoretical analysis, numerical simulation, and engineering practice show that: soil arching effect exit widely in anti-sliding pile retaining, and which is mainly composed of retaining mechanism(Ladanyi, 1969; Koutsabeloulis, 1989; Adachi, 2002; C-Y ChenE, 2005). Although people have done detail system research on soil arching effect, but mainly on single row pile(Zhao Ming-hua, 2006; WANG W L,1974; Zhou Ying-hua,2006; JIA Hai-li, 2003; Yang Ming, 2007). The study of double row piles soil arching effect is still at the starting stage compared to single row pile. Most simply analyzes the mechanical effect of double row piles. However, there are still many issues worth exploring, the spacing of double row piles is one of them. The spacing of double row piles is directly related with double row piles retaining effect of the paly and the degree of engineering safety and economy, it has a very important guiding for design of double row piles. Based on this, the paper gives a detailed analysis on the effect of space of double row piles on soil arching effect, hopes to provide reference for related engineering. II. Calculation model This model uses the unit thickness of soil taken as analysis object. The picture shown in Figure 1. The cross-section of double row piles is square, length of c for double row piles cross-section: c=1m. the spacing of double row piles is L, L are 2c, 4c, 6c, 8c, 10c, 12c; the distance of front row and rear pile is d: d=3c, according to symmetry along the X axis take the interquartile range two pile center; in order to reduce boundary effect, but not affect the calculation accuracy, 10 times calculation area is taken where at front of front pile and rear of rear pile. Soil material is homogenous soil, pile body use C30 concrete, the parameters are show in Table 1. Soil material and pile body use mohr-coulomb model and elastic model, interface between pile and soil use Goodman contact unit. In addition to loading boundary, the other boundary are arranged normal displacement constraint, piles full constraints. Landslide thrust q can be simulated by applying a uniform load in load boundary, q=10kpa. rearpile frontpile Figure 1 the top view of double-row pile calculation model Table1. Material Calculation Parameters Elasticity /MPa Poiss ion Coh/ kPa Frictio n/(º) Dilatio n/(º) Tension/ kpa soil 5 0.3 40 30 0 20 pile 3*104 0.2 / / / / III. Influence of space of double row piles on soil arching effect Keeping other model parameters constant, along changing the spacing of double row piles to analysis RESEARCH ARTICLE OPEN ACCESS
  • 2. Zhao bo Int. Journal of Engineering Research and Application www.ijera.com ISSN : 2248-9622, Vol. 5, Issue 2, ( Part -1) February 2015, pp.19-21 www.ijera.com 20 | P a g e its influence on soil arching effect of double row piles. a b c d e f a-2c;b-4c;c-6c;d-8c;e-10;f-12c Figure 2 Nephogram of maximum principal stress of soil around piles The Figure 2 shows nephogram of maximum principle stress of soil around double row piles under the spacing of double row piles L=2c、4c、6c、8c、10c、12c. From Figure 2 we can knows that the spacing of double row piles have a large influence on soil arching effect, when L=2c only in the rear row pile forms obvious soil arching, almost no soil arching forms at front row pile. When L=4c soil arching effect at front pile begins the formation, front row pile and rear row pile officially begins forming multiple soil arching effect. When L=6c, multiple soil arching effect of double row piles has been strengthened, and the front row pile begins to form weak anti-stress arching .When L=8c, the interface of soil arching effect between front row pile and rear row pile become fuzzy, and has the trend of convergence, and the anti-stress arching has been further enhanced, the enhance of anti-stress arching illustrates the outflow of soil from piles, indirect evidence of weakening of double row piles soil arching effect. When L>10c, font pile and rear pile have a trend of considered as a whole pile and forming a large single layer soil arching, while the anti-stress arching of front pile becomes very large, illustrating a large loss of soil from piles, and the soil arching effect is strongly weakened. In a word, with the increase the spacing of double row piles, the soil arching effect is weakening, and in L>6c front row begins to have anti-stress arching, that proving the soil arching effect has entered a rapid weakening period. So the pile spacing L should not be greater than 6c. -20 -10 0 10 20 1x10 3 2x10 3 3x10 3 4x10 3 x /pa x/m L=2c L=4c L=6c L=8c L=10c L=12c Figure 4 distribution curve of 𝜎𝑦 in axle wire -10 -5 0 5 10 3.0x10 3 6.0x10 3 9.0x10 3 1.2x10 4 x /pa x/m L=2c L=4c L=6c L=8c L=10c L=12c Figure 5 distribution curve of σ_xin axle wire Figure 3 shows the distribution curve of σ_y under different spacing of double row piles. From Figure 3 we can know that with the increase of spacing of piles, the residual stressσ_y of font row pile in Y direction is strengthening, it suggests that double row piles can bear load is reducing, and the soil arching effect of double piles is weakening with the increase of the spacing of double row piles.
  • 3. Zhao bo Int. Journal of Engineering Research and Application www.ijera.com ISSN : 2248-9622, Vol. 5, Issue 2, ( Part -1) February 2015, pp.19-21 www.ijera.com 21 | P a g e Figure 4 shows the distribution curve of σ_y under different spacing of double row piles. From Figure 4 we can know that with the increase of spacing of piles, the residual stress σ_xof font row pile in X direction is strengthening, it suggests that the soil arch zone of double row piles is reducing, and the soil arching effect of double piles is weakening with the increase of the spacing of double row piles. 5 10 0.70 0.75 0.80 0.85 0.90 archzoneofdoublepiles arch zone of double piles  *c a-arch zone of double row piles 5 10 0.3 0.4 0.5 0.6 0.7 archzoneofrearpile1 *c arch zone of rear pile 1 b-the arch zone of rear row pile 1 5 10 0.55 0.60 0.65 0.70 0.75 archzoneoffrontpile *c arch zone of front pile2 c-the arch zone of front row pile 2 Figure 5The soil arch zone α_iof different load Figure 5 shows the arch zone of double row piles under different spacing of piles. As 5-a, 5-b shows that Both total arch zone of double row piles and arch zone of rear row pile approximate linear decrease with the increase of spacing of double row piles. The arch zone of front row pile rapid rise in L<4c, and reach a maximum in L=4c, and then with the continuous increase of piles spacing, the arch zone of front row pile also shows a linear decrease. So considering economy and play a role in optimization of front row pile and rear row pile, suggestions of double row piles spacing between 4c-6c. IV. Conclusion 1 The soil arching effect will be produced first at rear pile second at front pile, and finally forms multiple soil arching effect with the increase of spacing of double row piles. When L>8c, the anti-stress arching will be produced obvious. 2 With the increase spacing of double row piles the residual stress of front of front row pile is enhancing, this make the arch zone of double row pile decrease. 3 Both total arch zone of double row piles and arch zone of rear row pile approximate linear decrease with the increase of spacing of double row piles. The arch zone of front row pile increase at first and in the tendency of decrease, and reach the peak at L=4c. 4 Based on above analysis, suggestions of double row piles spacing of L in 4c to 6c. Reference [1] TERZAGHI K. Theoretical soil mechanics[M]. NEW YORK, NY: john Wiley&sons,1943. [2] LADANYI B, HOYAUX B.A study of the trap door problem in a granular mass[J]. Canadian Geotechnical Journal, 1969, 6(1):1-14. [3] KOUTSABELOULIS N C, GRIFFITHS D V. Numerical modeling of the trap door problem[J]. Geotechnique,1989,39(1):77-89. [4] ADCHI T,KIMURA M,TADA S. Analysis on the preventive mechanism of landslide stabilizing Piles[C ]//Proc. 3rd International Symposium on Numerical Models in Geomechanices (NUMOG III). [S.I.]: Elsevier Applied Science,1989:691-698. [5] MARTIN G R, CHEN C Y. Response of piles due to lateral slope movement[J]. Computers and Structure, 2005,83:588-598. [6] Zhao Ming-hua, Chen Bing-chu, Liu Jian- hua. Analysis of the Spacing between Anti- slide Piles Considering Soil-Arch Effect, Journal of Central South Highway Engineering, 2006, 31 (2):1-3. [7] WANG W L, YEN B C.Soil arching in slopes [J]. journal of the geotechnical engineering division ASCE,1974,100(GT1):61-78. [8] Zhou Ying-hua, Zhou De-pei, Feng Jun. Geometrically mechanical characters of soil arch between two adjacent laterally loaded piles and determination of suitable pile spacing, Rock and Soil Mechanics, 2006, 27(3):455-462. [9] JIA Hai-li, WANG Cheng-hua, Li Jang- hong. Discussion on Some Issues in Theory of Soil Arch. JOURNA L OF SOUTHWEST JIAO TONG UNIVERSITY, 2003, 38(4): 398-403. [10] Yang Ming, Yao Ling-kan, Wang Guang- jun. Study on effect of width and space of anti-slide piles on soil arching between piles, Chinese Journal of Geotechnical Engineering, 2007,29(10):1477-1482.