Experimental Observations and Parametric Study of Piled Raft Foundation Using Plaxis

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    Experimental Observations and Parametric Study

    of Piled Raft Foundation Using Plaxis

    N. VenkateshwaranFaculty,

    National Institute of Technology,

    Tiruchirapalli, 620015, India

    Email: [email protected]

    Dr.S.P. Jeyapriya

    Assistant Professor,

    Government College of Technology,Coimbatore 641013, India

    Email: [email protected]

    AbstractThe foundations for tall buildings are usually

    subjected to a combination of vertical, lateral and

    overturning forces. Piled raft foundation is an

    economical and efficient foundation for tall buildings in

    which the load from the superstructure is transferred to

    the soil by load sharing mechanism between raft and pile

    and thereby reducing the settlement. In the present

    study, laboratory model tests and numerical analysis

    were carried out to study the behaviour of piled raft

    foundation subjected to vertical load. The test was

    conducted on plain raft and piled raft model with

    different configurations viz. 1x1, 2x2 and 3x3 in

    homogeneous loose sand. The experimental results were

    analysed and calibrated using PLAXIS 2D. The

    percentage settlement reduction observed experimentally

    and numerically were compared and reported. It was

    observed that the settlement has reduced considerably

    for piled raft foundation and it was about 71% reductionfor 3x3 configuration. Also, the load carrying capacity

    has increased significantly from 234N to 578N when 3x3

    pile configuration was used which accounts about 146%

    increase .

    Keywords-component; piled raft modellng;

    experimental program; PLAXIS.

    I. INTRODUCTION

    One of the most important aspect of Civil

    Engineering projects is the foundation system.

    Designing a foundation system carefully and properly,

    will not only lead to a safe and efficient structure, butalso an overall economy of the project. Until recently,

    there were some individual systems such as shallow

    foundations like rafts and deep foundations like piles.

    By combining these two systems, foundation

    engineers will provide necessary values for the design,

    obtain the required safety and also come out with more

    economical solutions. A piled raft is a composite

    foundation in which the piles are used as settlement

    reducers and they share with the raft, the load from the

    superstructure [5],[8]. In the design of piled rafts, the

    load is shared between the piles and raft. The piles in

    piled raft are used up to a load level that can be of thesame or even greater magnitude as that of a

    comparable single pile.

    Th f th il d ft f d ti ll

    rectangular tank of size 450mm x 300mm x 450mm

    and modelled plain raft of size 70mm x 70mm and

    thickness 6mm [2]. In piled raft, the raft is of samesize and piles of 8mm diameter and length 180mm

    with a spacing of 3.5 times the diameter of pile was

    used. The configuration of piles used in this study was1x1, 2x2 and 3x3. Results showed that the piled raftfoundation in sand considerably reduces the

    settlement compared to that of plain raft foundation.

    Methods of Analysis

    Numerous methods were available to

    establish the interaction of piled raft combination. Thisinclude simplified calculation methods, approximate

    computer-based methods and more rigorous computer

    based methods. The simplified calculation methods are

    empirical methods with numerous simplifications,mostly concerning the soil profile and the load

    condition. In approximate computer-based methods,

    the raft is modelled as a strip and the soil and the pilesare modelled with springs of varying stiffness. The

    more rigorous computer-based methods consist of

    different numerical methods and this research work is

    mainly focused on the numerical analysis using

    PLAXIS 2D software.

    Plane strain FEM-model for piled rafts

    The main problem when modelling a piledraft with a plane strain model is the transition from

    three to two dimensions. The wall element is defined

    per meter in the plane strain analysis using PLAXIS,the raft and piles were modelled as series of beam

    elements with the appropriate geometrical parameters

    and geometrical boundaries.

    II. PARAMETRIC STUDY

    Parametric study of piled raft refers to

    studying the behaviour of the structure by changingtheir dimensions [1], [4]. The details of model are

    Case 1: Plain raft 70mm 70mm square and of 6mm

    thick.Case 2: Piled raft of 70mm 70mm with raft

    thickness of 6mm and pile length of 180mm. The pileconfiguration is 1x1 and is named as PR 1x1.

    Case 3: Piled raft of 70mm 70mm with raftthi k f 6 d il l th f 180 Th il

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    A. Properties of Sand

    All the laboratory tests were performed as per

    IS specifications. The sand was tested to determine the

    following preliminary properties and the results aretabulated in Table 1.

    1. Gradation of sand

    2.

    Specific Gravity3. Unit weight

    4. Maximum and minimum dry densities

    5. Angle of internal friction6. Maximum and minimum void ratio.

    Unit Weight

    Dry unit weight of sand was determined by

    vibrating table method conforming to IS 2720-Part 14.To determine the unit weight, several trials have been

    carried out for varying heights of fall. It was found

    that as the height of fall of sand increases, the density

    of sand also increases. To verify this, a cylindricalcalibrating container conforming to IS 2720-Part 28was used to pour the sand with the help of a hopper.

    The cylinder was filled with sand for different heights

    of fall of 0cm, 10cm, 20cm, 25cm, 30cm, 35cm,

    40cm, 50cm, 60cm, 70cm, 80cm, 90cm and 100cm.The height of fall of 25cm, 30cm and 35cm was fixed

    for filling tank to achieve loose sand condition

    corresponding to 20.55%, 26.63% and 32.97% relativedensity respectively.

    Void ratio and Relative density

    To determine the void ratio and relative

    density of sand for varying heights of fall,

    corresponding value of unit weights obtained from

    previous study was used. The value of relative densityvaried from 0% to 100% for a void ratio of 0.72 to

    0.47 respectively. The results of unit weight, void ratio

    and relative density corresponding to various heightsof fall are shown in Table 2. The relationship of void

    ratio vs height of fall,, relative density vs height of

    fall, unit weight vs height of fall are illustrated in

    figures 1 to 3 respectively.

    Modulus of Elasticity (E)

    Shear strength parameters of soil wasdetermined from Direct Shear test. The Modulus of

    Elasticity was indirectly determined from shear

    modulus and the value was found to be 10.24 MN/m2

    for the relative density of 26.63%.

    TABLE 1 PROPERTIES OF SAND

    Sl.

    No.Description Values

    1 Specific gravity 2.65

    2 Coarse sand 4.6

    3 Medium sand 71.7

    4 Fine sand 23.7

    5 Uniformity coefficient 2.55

    6 Coefficient of curvature 0.76

    7 Classification of sandPoorly graded

    sand (SP)

    8 Maximum dry unit weight 17.63 kN/m3

    9 Minimum dry unit weight 15.10 kN/m3

    10 Maximum void ratio 0.72

    11 Minimum void ratio 0.47

    12 Unit weight 15.71 kN/m3

    13 Relative density 26.63%

    14 Angle of internal friction 30

    15 Modulus of Elasticity 10.24 MN/m2

    TABLE 2 HEIGHT OF FALL METHOD

    Sl.

    No.

    Height

    of fall

    (cm)

    Unit

    weight

    (kN/m3)

    Relative

    density

    (%)

    Void

    ratio

    Angle

    of

    intern

    al

    frictio

    n ()

    1 0 15.10 0 0.72 24

    2 10 15.18 3.67 0.71 24

    3 20 15.42 14.46 0.69 27

    4 25 15.57 20.55 0.67 285 30 15.70 26.63 0.66 30

    6 35 15.85 32.97 0.66 31

    7 40 16.00 39.20 0.62 32

    8 50 16.40 55.23 0.59 34

    9 60 16.78 69.77 0.55 37

    10 70 17.10 81.52 0.52 38

    11 80 17.28 87.91 0.50 39

    12 90 17.34 90.00 0.49 40

    13 100 17.38 91.41 0.49 40

    Fig 1. Relationship of void ratio and height of fall

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    Fig 3. Relationship of Unit weight and height of fall

    IV. EXPERIMENTAL PROGRAM AND

    NUMERICAL ANALYSIS

    Mild steel rods were used as model pileshaving diameter 8 mm and length 180 mm, forming

    configurations 1x1, 2x2, 3x3 and the piled raft model

    used in the study is shown in figures 4 to 6. The pilesare rigidly fixed to the raft by welding. The property

    of mild steel is shown in Table 3.

    TABLE 3 PROPERTIES OF MILD STEEL SPECIMEN

    Sl.No. Properties Values

    1 Yield stress (N/mm2) 416.74

    2 Ultimate stress (N/mm2) 436.59

    3 Modulus of Elasticity (N/mm2) 2.34 x105

    Fig.4 Piled raft model of configuration 1x1

    Fig.6 Piled raft model of configuration 3x3

    A. Preparation of foundation medium

    The sand was placed in the tank with

    predetermined relative density of 26.63%, by

    maintaining a dropping height of 30cm upto top levelor by taking the weight of sand equal to 21.60 kg that

    is poured to the tank at every 100cm height until the

    tank is filled upto the surface that corresponds to arelative density of 26.63%. After each test, the sand

    box should be emptied to a depth below the zone of

    influence (which was considered as L below the tip of

    pile, where L is the pile length). During the process of

    sand raining, the piled raft model was placed at thecenter of the tank and under the loading ring, a bubble

    balance was used to ensure the level of the raft, then

    the sand raining was continued upto the top slightly

    lower than the raft. The final layer of the sand islevelled by a sharp edge ruler.

    B. Loading Setup

    The load frame consists of proving ring of

    2kN capacity with 0.0025kN accuracy for load

    determination and two numbers of 25mm dial gauge

    with 0.01mm sensitivity for settlement prediction. The

    entire loading setup is shown in figure 7.

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    C .Application of vertical load and calibration in

    PLAXIS

    The vertical load was applied at a constant

    loading rate of 1mm/min throughout the entire testing

    program. The settlement of the system was measuredusing dial gauges for each load increment until the

    settlement is less than 0.02mm/min. The load vs

    settlement graph was plotted for each configuration ofpiled raft system. The obtained curves are calibrated in

    PLAXIS 2D and parametric study for these

    configurations were analysed. The ultimate load isdetermined by considering 10 % width of the footing.

    Figures 8 to 10 show the parametric study using

    PLAXIS 2D.

    Fig.8 PR 1x1 in PLAXIS 2D

    Fig.9 PR 2x2 in PLAXIS 2D

    V RESULTS AND DISCUSSIONS

    From the experimental study and FEM

    analysis, it was observed that for plain raft and piled

    raft (PR 1x1, PR 2x2 and PR 3x3), the load settlementvariation between the experimental study and PLAXIS

    2D is within 15% upto the ultimate load and also the

    FEM analysis underestimates the settlement andoverestimates the ultimate load when compared to that

    of experimental study. Figures 11 to 14 show the

    comparison between experimental study and PLAXIS2D. In all these graphs, it was found that the numerical

    analysis showed slightly higher value of load than the

    experimental work. Figure 15 shows the comparison

    between load vs settlement for plain raft and piled raft

    with different configurations namely PR 1x1, PR 2x2and PR 3x3. As the number of piles is increased, the

    load carrying capacity of piled raft system is increased

    significantly which can be observed from Table 4 andFigure 16. Figure 17 shows the settlement reduction

    with pile raft combination as reported in Table 5 forvarying area ratio (ratio between the cross sectional

    area of pile and area of raft).

    Fig.11 Comparison of Plain raft in experimental and PLAXIS study

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    VI CONCLUSIONS

    Laboratory study with plain raft and piled raft

    on loose sand foundation medium was conducted

    and the following observations were made.(1)The failure load has increased from 234N for

    plain raft to 390N, 505N and 578N for piled raft

    of 1x1, 2x2 and 3x3 configurations respectively.This account to about 67%, 116% and 146%

    increase in the carrying capacity for piled raft of

    1x1, 2x2 and 3x3 respectively.(2)The settlement of plain raft is 7mm and it has

    reduced to 3.19mm, 2.40mm and 2.02mm when

    piled raft of 1x1, 2x2 and 3x3 configuration is

    used. This is about 54%, 66% and 71% for the

    respective combination.(3)With the increase in area ratio, the % reduction in

    settlement initially increase rapidly and and

    thereafter attains a marginal value and also the %increase in load carrying capacity increases

    rapidly at first and then it maintains a gradualincrease .

    (4) Analysis using PLAXIS 2D compares well withthe experimental values and hence it can be used

    for studies on piled raft system of other

    configurations.

    VII REFERENCES

    1. MeisamRabiei, 2009, Parametric Study for

    Piled Raft Foundations, Electronic Journal

    of Geotechnical Engineering ,Vol.14.2. S.P.Bajad, R. B. Sahu, 2012, An

    Experimental Investigation on Interference of

    Piled Rafts, Civil and EnvironmentalResearch, Vol.2, No.2, pp 49-58.

    3. Rolf Katzenbach, Christian Gutberlet, Gregor

    Bachmann, 2007, Soil-Structure Interactionaspects for ultimate limit state design of

    complex foundations, First International

    Symposium on Geotechnical Safety & Risk,

    Shanghai, Tongji University, China, pp 585-

    596.4. M. H. Baziar, A. Ghorbani , R. Katzenbach,

    2009, Small-Scale Model Test and Three-

    Dimensional Analysis of Pile-RaftFoundation on Medium-Dense Sand,

    International Journal of Civil Engineerng,Vol.7, No.3, pp 170-175.

    5. Poulos.H.G., 2001,Piled Raft FoundationDesign and Applications, Geotecnique,

    Vol.51, No.2, pp 95-113.

    6. Young-Kyo Seo and Kyung-sik Choi, Sung-

    Gyo Jeong, 2003, Design Charts of Piled

    Raft Foundations on Soft Clay, Proceedingsof The Thirteenth International Offshore and

    Polar Engineering Conference, Honolulu,

    Hawaii, USA, May 2530, pp 753-755.7. K. Yamashita, T. Yamada, 2009, Settlement

    and load sharing of a piled raft with ground

    improvement on soft ground, Proceedings ofthe 17

    thInternational Conference on Soil

    Mechanics and Geotechnical Engineering, pp

    1236-1239.

    8. H.G. Poulos, J.C. Small, H. Chow, 2009,

    Piled Raft Foundations for Tall Buildings,Geotechnical Engineering Journal of the

    SEAGS & AGSSEA, Vol. 42, No.2, pp 78-

    84.

    AUTHORS PROFILE

    1. N. Venkateshwaran, M.E., Geotech

    Faculty,

    National Institute of Technology,

    Thiruchirapalli, 6201015, India

    Email: [email protected]

    2. Dr.S.P. Jeyapriya

    Assistant Professor,

    Government College of Technology,

    Coimbatore 641013, India

    Email: [email protected]

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