behaviour of single pile in sloping ground under static lateral load

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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 45º 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 199

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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

    199

  • 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

    200

  • 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

    201

  • 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,

    Speciality Session 10,Tokoyo, 1-14.

    2. Bransby, M.F., and Sarah Springman (1999), Selection

    of load-transfer functions for passive lateral loading of

    pile groups, Computer and Geotechnics, 24,155-184.

    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

    Engineering,113(9), 1044-1048.

    5. Brown, D.A and Chine-Feng Shie (1991), Some

    experiments with 3D FE model of laterally loaded pile.

    Computer and Geotechnics, 12,149-162.

    6. Gabr, M.A. and Borden, R.H.,(1990), Lateral Analysis of Piers Constructed on Slopes. Journal of Geotechnical

    Engineering, 116(12),1831-1850

    7. Stewart, D. P., (1999), Reduction of undrained lateral

    pile capacity in clay due to an adjacent slope.

    Australian Geomechanics, 34(4), 17-23.

    8. Muthukkumaran.K, Sundaravadivelu.R and Gandhi

    S.R, (2002), Behaviour of sloping ground under

    surcharge loading, Indian Geotechnical Conference, 441-444

    9. Chae, K.S., Ugaiz,K., and Wakai,A (2004), Lateral

    Resistance of short single piles and pile groups located

    near slopes, Journal of Geotechnical and

    Geoenvironmental.Engineering, 127(6). 93-103.

    10. Poulos, H. G. (1976). Behavior of laterally loaded

    piles near a cut or slope. Australian Geomechanics

    Journal, 6(1), 6-12.

    11. Chen, C. Y. and Martin, G. R. (2001),Effect of

    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

    202