behaviour of single pile in sloping ground under static lateral load
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Filename: BEHAVIOUR OF SINGLE PILE IN SLOPING GROUND UNDER STATIC LATERAL LOAD.pdfTRANSCRIPT
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Proceedings of Indian Geotechnical Conference December 15-17, 2011, Kochi(D-177)
BEHAVIOUR OF SINGLE PILE IN SLOPING GROUND UNDER STATIC LATERAL LOAD
Sivapriya S.V, Research Scholar, Department of Civil Engineering, IITM, Chennai-36,[email protected]
S.R.Gandhi, Professor, Department of Civil Engineering, IITM, Chennai-36, [email protected]
ABSTRACT: Earth slopes are either man made or natural on which either structure are placed or construction activities are
carried out. Typical examples of earth slopes are rail embankment, road embankments, river training bunds,excavation for
mines, dredging for berthing structures results in slope over which certain facilities are required to be built. These facilities
are often tall and subjected to large lateral loads and may require use of pile foundation for stable support on slopes. The
behaviour of soil slope and pile foundation passing through it is a complex soil-structure interaction problem. Though the
behaviour of pile under lateral load is well known for horizontal ground surface, its behaviour on sloping ground is not
studied in detail. The lateral capacity of pile gets considerably reduced when the applied horizontal force is in the direction
of slope. No well defined guideline is available to estimate the lateral capacity of such piles on slope. This also depends on
the relative position of the pile with respect to the slope. An attempt is made by conducting experiments to study the
behaviour of pile in sloping ground. The parameters varied are position of piles and variation of slopes. The results are
compared with the pile in normal ground condition.
INTRODUCTION
Pile can be subjected to axial (tension or compression) load
and lateral load or combination of these loads. The loads
are from super structure, earth pressure on retaining wall,
wind load, wave and current actions in case of off- shore
structures and slope movement. The soil-pile interaction
mechanism in a sloping ground is different from that in a
horizontal ground. Pile subjected to lateral load at the head
and transmitting that load to the soil occur in active pile;
whereas Pile subjected to load from moving soil which
induces forces and bending moment to the pile is termed as
passive pile [1]. In passive piles the soil is pushed beneath
the embankment and between groups of piles. The
generation of passive lateral pressure in pile cause local soil
shear as the soil `squeezes' between and around piles [2].
In active pile pile-displacement y is relatively rigid to boundaries, which is also termed as relative soil
displacement [3]. The active length of the pile depends
upon the head conditions, loading conditions and stiffness
of the pile [4]. This active length is different for soil in
horizontal ground and sloped ground. Inclination in ground
significantly affects the ultimate load carrying capacity of
the pile, where the loading is in downslope direction. But
the stiffness of the p-y curves is not much affected at small
deflection [5].It is observed [6] from the limit equilibrium
model that the effect of slope for pure cohesive soil was
significantly less than the effect predicted for c- soils. Using upper bound plastic solution [7] a chart for undrained
lateral capacity of soil in which reduction factors are
included. When a pile is rested in a sloping ground, the
additional force due to instability of the slope should be
considered for design purpose [8].Whereas for a short pile
group near the crest of a slope, a significant reduction in the
group efficiency is observed as the displacement increases.
In short pile groups located near the crest of the slope, the
rotation point of the leading piles occurs at a slightly
greater depth than that of the single pile, with no variation
of its depth irrespective of the pile spacing [9].
A graph is proposed for non- vertical ground [10]. The
study illustrates the effect of slope on the strength of the
pile-soil system could be neglected for piles located beyond
5 pile diameters (5D) from the crest of the slope. The effect
of slope on ultimate load capacity for slope angles less than
45 becomes less than 10% for distances greater than 6D,
and therefore the slope effect beyond that can be
neglected[11]. From small-scale models and mathematical
models underestimate the effects of slope on maximum
bending moments developed in piles. The locations of
maximum and minimum bending moments in the pile were
not affected by the presence of a slope [12].
Here the study is mainly focused on active pile where the
tendency to drag the soil with the piles is ignored.
SOIL PROPERTY
The soil is taken from Siruseri, Chennai. The soil is then air
dried and soil properties were found as per Indian
standards. The basic soil properties are listed in Table 1.
Table 1 Soil Property
Property Values
Liquid Limit 66% Plastic Limit 27% Plasticity Index 39% Specific Gravity 2.68
0.5%
23% &76.5%
Grain Size Distribution Sand Silt & Clay IS classification CH
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Sivapriya.S.V & S.R.Gandhi
MATERIAL PROPERTY PILE
The diameter of the pile is fixed as 16mm with 1mm
thickness, so that it is free from side wall effects. The
material opted for the experiment is a hollow Aluminium
pipe. Pile length is taken as 450mm, which is termed as
semi-infinite. From the lateral load behaviour, it is observed
that the pile behaves as long flexible pile. The flexural
stiffness of the pile is 93.1x 106 Nmm2 which is found using
simple beam bending test.
EXPERIMENTAL WORK
Preparation of Clay bed
The soil bed is prepared for two different shear strengths
say 30kPa and 50kPa with unit weight of 1.8g/cc and
1.98g/cc. The soil is filled in the tank of dimension 1m x
0.8m x 0.6m by kneading compaction method (Rao [13]).
Instrumentation of Pile
Strain gauges of 120 resistance and 10mm gauge factor are used for the experiments. The gauges are pasted in 0.1L,
0.25L, 0.5L and 0.7L from the top in the tension side of the
modelled pile; where L is the length of the pile. These
strain gauges are then connected to the data acquisition
system by means of quarter bridge connection. The data
acquisition system, Spider 8 with Carman professional is
used; the deflection is measured using LVDT.
Calibration Calibration of strain gauges is performed using simple
beam bending test in which the model pile is placed simply
supported on a knife edge. The calibration constant is found
to be 0.0278 N-m/ strains. The calibration graph is shown
in Fig 1.
Parameters to be varied
In present, the study is focused on single pile. The Position
of piles and slope angle are varied for the two different soil
strengths. The varied parameters are listed in Table 2.
By conducting tests pile subjected to lateral load in
horizontal ground, the relative stiffness factor( R) is found
to be 94 mm for 30kPa soil and 76mm for 50kPa soil.
Fig 1. Calibration of Strain Gauges
Table 2 Parametric Study
Parameter Variations
Soil Strength 30 kPa and 50kPa Ground Condition 1V:2H, 1V:2.5H ,1V:3H
and Horizontal ground Position of pile Crest ,1R and 2R
Experimental Procedure
The soil is filled in the tank to posses the desired strength.
The desired strength is obtained by determined unit weight
and water content. This is obtained by means of proctor
compaction and UCC tests. The pile used is of in-situ semi
infinite pile, which is initially placed in position followed
by soil. The known weight is compacted by means of
kneading compaction technique. The load applied is of
static lateral load which is applied towards the slope. High
tension wire is used for the application of load. The
schematic representation of the set-up is shown in Fig 2.
Fig 2. Schematic diagram of Loading Set-up
RESULTS AND DISCUSSION
Load displacement curve
The dead load is applied and allowed for fifteen minutes to
ensure the displacement occurred due to the loading. LVDT
is used to read the displacement. Initial test was carried out
for the horizontal ground condition and followed by the
sloping ground (1V:2H, 1V:2.5H and 1V:3H) and different
position of piles (crest of the slope, 1R and 2R). The pile at
1R and 2R positions has eccentricity as the load is applied
at same level as that of the horizontal ground. The
maximum load is calculated by eliminating the eccentricity
(e).
(1)
The load corresponds to 3mm deformation (y) is taken
initially taken when a pile is at crest, where e = 0. Using the
Eq. 1 the value of yh is found and the value of Mh is found
by the chart given by Davission and Gill [14] for free pile
head in soil of constant modulus. It was then back
calculated to find the load corresponding to the deformation
obtained through the Eq. 1.
Figures 3 and 4 show the typical load- displacement curve
for the slope 1V:2H for soil strength of 30kPa and 50kPa.
DAS-
Spider 8
PC with Catman
Professional
LVDT +
Read out
unit
Instrume
nted Pile
Clay
Tank dim
1x0.8x0.6
(m)
Loading
set-up 0.45
1.00m
0.3m
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Behaviour of single pile in sloping ground under static lateral load
The load carrying capacity of pile to the deformation
corresponding to the obtained value through Eq. 1for the
slope 1V:2H, 1V:2.5H and 1V:3H are listed in Table 3 and
4.
Fig 3. Load-Displacemnt curve for single pile(1:2) - 30kPa
Fig 4. Load-Displacemnt curve for single pile (1:2) - 50kPa
Table 3 Load corresponding to zero eccentricity-30kPa
Capacity of the pile ,N Slope/Distance
Horizontal Crest 1R 2R
1V:2H 215 140 85
1V:2.5H 250 170 125
1V:3H
300
280 210 135
Table 4 Load corresponding to zero eccentricity 50kPa
Capacity of the pile ,N Slope/Distance
Horizontal Crest 1R 2R
1V:2H 270 215 165
1V:2.5H 350 240 215
1V:3H
420
400 260 225
The reduction in capacity for horizontal ground and 1V:3H
is less compared to other slopes. And the capacity decreases
with increase in slope. The reduction in capacity is
significantly less when compared to 1R and 2R position.
From the Fig 5 and 6 shows a comparative graph drawn for
the two soil strengths and for three slopes. For 50 kPa soil,
the load carrying capacity of the pile for slope 1V:2.5H is
similar to 1V:3H.
Fig 5. Lateral load capacity of pile 30kPa
Fig 6. Lateral load capacity of pile 50kPa
Bending Moment
The bending moments at different sections along the pile
were obtained using the bending strains measured at
various points along the length of the model pile by the
strain gauges and bending moment is calculated using the
bending moment constant 0.0278 N m/ strains.
The maximum bending moment is obtained about 0.4L
along the length of the pile for horizontal ground. The
bending moment increases with increase in load and the
pattern satisfies the condition of long flexible pile. The
variation of maximum bending moment with applied lateral
load shows the linear relation between the maximum BM
and the applied load. As the load increases, the soil in front
of the pile fails leaving the top of the pile unsupported and
thus altering the depth to maximum bending moment.
A comparison graph is drawn in Fig. 7 for a slope of
1V:2H.
The study is made with the pile at different locations of
slope (ground level; crest, 1R and 2R towards the slope) for
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Sivapriya.S.V & S.R.Gandhi
a soil condition 0f 30kPa for a similar load. There is no
significant change in bending moment pattern in the pile at
horizontal ground and pile at crest towards the slope.
The maximum bending moment is observed about 0.4L in
three conditions (ground level; crest and 1R towards the
slope); whereas when the pile is kept in 2R position the
maximum bending is observed at 0.5L.
CONCLUSION
The experimental results of the behaviour of laterally
loaded pile in sloping ground founded in clay shows that
the load carrying capacity of the pile decreases with
increase in slope and distance away from the slope. The
following observations are made,
1. The load carrying capacity decreases as the slope
increases (1V:3H to 1V:2H) as the pile move away
from the crest when compared to that of pile in
horizontal ground.
2. For a given slope angle, compared to the pile capacity at
the crest, the capacity decreases as the pile move
towards the slope.
3. The bending moment increases with the increase in
applied load and when the pile move away from the
slope and decreases as the soil strength increases.
REFERENCES
1. De Beer, E.E., (1977), Piles subjected to static lateral
loads, State ofthe Art Report, Proc., 9th ICSMFE,
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2. Bransby, M.F., and Sarah Springman (1999), Selection
of load-transfer functions for passive lateral loading of
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3. Bransby M.F., (1996), Difference between load-
transfer relationships for laterally loaded pile groups:
active p-y and passive p-, Journal of Geotechnical and Geoenvironmental Engineering, 122(12), 1015-
1018.
4. Wang, M.C and Liao, W.P., (1986), Active length of
laterally loaded piles, Journal of Geotechnical
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5. Brown, D.A and Chine-Feng Shie (1991), Some
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Engineering, 116(12),1831-1850
7. Stewart, D. P., (1999), Reduction of undrained lateral
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S.R, (2002), Behaviour of sloping ground under
surcharge loading, Indian Geotechnical Conference, 441-444
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Embankment Slope on Lateral Response of Piles,
FLAC and Numerical Modeling in Geomechanics
2001 Proceedings of the 2nd International FLAC Conference, Lyon, France, October 2001). Billaux et
al. (eds.). A.A. Belkema, Lisse, pp. 47-54. 12. Mirzoyan A.D., (2007), Lateral resistance of piles at
the crest, Master of Science Thesis, Brigham Young University,Provo, UT.
13. Rao, S. N., Ramakrish na, V. G. S. T. and Rao, M. B.
(1998), Influence of rigidity on laterally loaded pile
groups in marine clay, Journal of Geotechnical and
Geoenvironmental Engineering, ASCE, 124 (6), 542-549.
14. Davisson, M.T. and Gill, H.L.(1963), Laterally-loaded piles in a layered soil system, Journal of the Soil Mechanics Division, American Society of Civil Engineers, Vol. 89, No. SM3, pp. 6394
Bending Moment, N.m
Fig 7. Bending moment of single pile at different location in a slope of 1V:2H
Depth,m
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