Indian Geotechnical Journal

, Volume 42, Issue 4, pp 278–286 | Cite as

Three-Dimensional Finite Element Analysis of Laterally Loaded Piles in Sloping Ground

  • V. A. SawantEmail author
  • S. K. Shukla
Original Paper


The load transfer mechanism for a laterally loaded pile is complex when it is located on the sloping ground. Though the field test is the best option for investigating the pile response for varying slope angles, it may not be cost-effective always. The computer simulation of numerical model can be an economical way to analyze the pile–soil interaction of laterally loaded piles in sloping ground. Therefore, in the present investigation, a computer program based on a three-dimensional finite element analysis is developed to evaluate the response of laterally loaded piles embedded in sloping ground. A detailed parametric study is carried out to investigate the effect of slope of the ground on the deflection and the bending moment along the pile length. The results show that the pile top displacement and bending moment in the pile increase with increasing slope angle. A comparison of the results is also made with the case of laterally loaded piles in horizontal ground, based on which a relationship is developed to predict the pile top displacement and maximum bending moment in the pile for a given slope angle using their values for the horizontal ground case.


Lateral load Finite element analysis Pile Sloping ground Displacement Bending moment 



The first author wishes to express his sincere thanks to the Australian Government, Department of Education, Employment and Workplace Relations (DEEWR) for financial support through the Endeavour Award Scheme.


  1. 1.
    Begum NA, Muthukkumaran K (2008) Numerical modeling for laterally loaded piles on a sloping ground. In: Proceedings of the 12th international conference of International Association for Computer Methods and Advances in Geomechanics (IACMAG), Goa, India, 1–6 Oct, 2008, pp 3368–3375Google Scholar
  2. 2.
    Brown DA, Shie CF (1991) Some numerical experiments with a three-dimensional finite element model of a laterally loaded pile. Comput Geotech 12:149–162CrossRefGoogle Scholar
  3. 3.
    Chae KS, Ugai K, Wakai A (2004) Lateral resistance of short single piles and pile groups located near slopes. Int J Geomech 4(2):93–103CrossRefGoogle Scholar
  4. 4.
    Das BM (1999) Principles of foundation engineering, 4th edn. PWS Publishing, Pacific GroveGoogle Scholar
  5. 5.
    Desai CS, Appel GC (1976) 3-D analysis of laterally loaded structures. In: Proceedings of the 2nd international conference on numerical methods in geomechanics, Blacksburg, pp 405–418Google Scholar
  6. 6.
    Gabr MA, Borden RH (1990) Lateral analysis of piers constructed on slopes. J Geotech Eng ASCE 120(5):816–837CrossRefGoogle Scholar
  7. 7.
    Georgiadis K, Georgiadis M (2010) Undrained lateral pile response in sloping ground. J Geotech Geoenviron Eng ASCE 136(11):1489–1500CrossRefGoogle Scholar
  8. 8.
    Martin GR, Chen CY (2005) Response of piles due to lateral slope movement. Comput Struct 83:588–598CrossRefGoogle Scholar
  9. 9.
    Mezazigh S, Levacher D (1998) Laterally loaded piles in sand: slope effect on p–y reaction curves. Can Geotech J 35(3):433–441CrossRefGoogle Scholar
  10. 10.
    Muthukkumaran K, Sundaravadivelu R, Gandhi SR (2004) Effect of sloping ground on single pile load deflection behaviour under lateral soil movement. In: Proceedings of 13th world conference on earthquake engineering, Vancouver, BC, Canada, 1–6 Aug 2004, Paper No. 2147Google Scholar
  11. 11.
    Muthukkumaran K, Sundaravadivelu R, Gandhi SR (2008) Effect of slope on p–y curves due to surcharge load. Soils Found 48(3):353–361CrossRefGoogle Scholar
  12. 12.
    Ng CWW, Charles WWN, Zhang LM (2001) Three-dimensional analysis of performance of laterally loaded sleeved piles in sloping ground. J Geotech Geoenviron Eng ASCE 127(6):499–509CrossRefGoogle Scholar
  13. 13.
    Poulos HG (1971) Behavior of laterally loaded piles—I: single piles. J Soil Mech Found Div 97(5):711–731Google Scholar
  14. 14.
    Poulos HG, Davis EH (1980) Pile foundation analysis and design. Wiley, New YorkGoogle Scholar
  15. 15.
    Prakash S (1962) Behaviour of pile groups subjected to lateral loads. PhD Thesis, University of Illinois, UrbanaGoogle Scholar
  16. 16.
    Randolph MF (1981) The response of flexible piles to lateral loading. Geotechnique 31(2):247–259CrossRefGoogle Scholar
  17. 17.
    Sawant VA, Shukla SK (2012) Can finite element and closed-form solutions for laterally loaded piles be identical? Struct Eng Mech Korea 43(2):239–251Google Scholar
  18. 18.
    Stewart DP (1999) Reduction of undrained lateral pile capacity in clay due to adjacent slope. Aust Geomech 34(4):17–23Google Scholar
  19. 19.
    Terzaghi K, Peck RB (1967) Soil mechanics in engineering practice, 2nd edn. Wiley, New YorkGoogle Scholar
  20. 20.
    Zhang LM, McVat MC, Lai PW (1999) Centrifuge modeling of laterally loaded single battered piles in sand. Can Geotech J 36(6):1074–1084Google Scholar
  21. 21.
    Zhang LM, Ng CWW, Lee CJ (2004) Effects of slope and sleeving on the behavior of laterally loaded rigid piles. Soils Found 44(4):99–108CrossRefGoogle Scholar
  22. 22.
    Zienkiewicz OC (1983) Finite element method, 3rd edn. Tata McGraw Hill, New DelhiGoogle Scholar

Copyright information

© Indian Geotechnical Society 2012

Authors and Affiliations

  1. 1.Department of Civil EngineeringIndian Institute of Technology RoorkeeRoorkeeIndia
  2. 2.Discipline of Civil EngineeringSchool of Engineering, Edith Cowan UniversityPerthAustralia

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