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Non-linear Analysis of Laterally Loaded Piles Using "p-y" Curves

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Abstract

In this paper, we analyze the behavior of a monopile under lateral loading. Specifically, this work focuses on the examination of the static stiffness coefficients of a monopile vertically embedded in a homogeneous or multilayer soil of random geometry and random mechanical properties. To solve the problem, a semi-analytical, closed form solution is developed, based on Winkler's theory. In this model, simulation of the mechanical behavior of the soil is achieved via non-linear "p-y" springs positioned along the axis of the pile, in conjunction with shape functions which describe the lateral movement of the pile. By iterative application of the proposed method the lateral stiffness coefficients at the pile head are calculated with satisfactory accuracy. The results of the proposed method converge satisfactory enough with real data and other theoretical results coming from sophisticated numerical analysis methods.

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References

  • American Petroleum Institute (1987) Recommended practice for planning, designing and constructing fixed offshore platforms. API Recommended Practice, 2A (RP 2A), 17th Ed

  • Ashour M, Norris G, Pilling P (2002) Strain wedge model capability of analyzing behavior of lateral loaded isolated piles, drilled shafts and pile groups. J Bridge Eng 7(4):245–254

    Article  Google Scholar 

  • Banerjee PK, Davis TG (1978) The behavior of axially and laterally loaded single piles embedded in non-homogeneous soils. Géotechnique 28(3):309–326

    Article  Google Scholar 

  • Barber ES (1953) Discussion to paper by SM gleser. ASTM, SPT 154:96–99

    Google Scholar 

  • Bolton MD (1986) The strength and dilatancy of sands. Géotechnique 36(1):65–78

    Article  Google Scholar 

  • Broms BB (1964a) Lateral resistance of piles in cohesive soils. In: Proceedings of the American society of civil engineers, Journal of the Soil Mechanics and Foundations Division, vol 90, SM2

  • Broms BB (1964b) Lateral resistance of piles in cohesionless soils. In: Proceedings of the American society of civil engineers, Journal of the Soil Mechanics and Foundations Division, Vol. 90, SM3

  • Comodromos EM, Pitilakis KD (2005) Response evaluation for horizontally loaded fixed-head pile groups using 3-D non-linear analysis. Int J Numer Anal Methods Geomech 29(6):597–625

    Article  Google Scholar 

  • Comodromos EM, Papadopoulou MC, Rentzeperis IK (2009) Pile foundation analysis and design using experimental data and 3D numerical analysis. Comput Geotech 36(5):819–836

    Article  Google Scholar 

  • Cox WR, Reese LC, Grubbs BR (1974) Field testing of laterally loaded piles in sand. In: Proceedings of the 6th annual offshore technology conference, Huston, Texas, pp 459–487

  • Davies TG, Budhu M (1986) Nonlinear analysis of loaded piles in heavily overconsolidated clays. Géotechnique 36(4):527–538

    Article  Google Scholar 

  • Dobry R, O’Rourke JM, Roesset MJ, Vicente E (1982) Stiffness and damping of single piles. J Geotech Eng Div 108:439–459

    Article  Google Scholar 

  • Fleming WGK, Weltman AJ, Randolph MF, Elson WK (1993) Piling engineering, 2nd edn. Wiley

  • Franklin JF, Scott RF (1979) Beam equation with variable foundation coefficient. J Eng Mech ASCE 105(5):811–827

    Google Scholar 

  • Gazetas G (1991) Foundation vibrations. Foundation engineering handbook. 2nd Edn, Fang HY (ed) Van Nostrand Reinholds, Chapter 15, pp 553–593

  • Hetenyi M (1946) Beams on elastic foundations. Univ. of Michigan Press: Michigan

  • ITASCA Consulting Group: FLAC3D (2005) Fast Lagrangian Analysis of Continua. Minneapolis

  • Loukidis D, Vavourakis V (2014) Limit lateral resistance of vertical piles in plane strain. In: 8th European conference on numerical methods in geotechnical engineering, pp 681–685

  • Matloc H (1970) Correlation for design of laterally loaded piles in soft clay. In: Proceedings of the 2nd offshore technology conference. Dallas, Texas, pp 577–594

  • McClelland B, Focht J (1958) Soil modulus for laterally loaded piles. Trans Am Soc Civ Eng 123:1049–1086

    Article  Google Scholar 

  • Mylonakis G (1995) Contributions to the static and seismic analysis of piles and pile-supported bridge piers. Ph.D. Dissertation, State University of New York

  • Mylonakis G, Gazetas G (1999) Lateral vibration and internal forces of grouped piles in layered soil. J Geotech Geoenviron Eng 125(1):1–10

    Article  Google Scholar 

  • Novak M, Nogami T, Aboul-Ella F (1978) Dynamic soil reaction for plane-strain case. J Eng Mech 104(4):953–959

    Google Scholar 

  • Pingbao Y, Wei H, Zhaohui JY (2018) A simplified nonlinear method for a laterally loaded pile in sloping ground. Adv Civil Eng. Vol. 2018, ID. 5438618

  • Poulos HG, Davis EH (1980) Pile foundation analysis and design. Willey, Hoboken

    Google Scholar 

  • Psaroudakis E (2013) Non-linear analysis of laterally loaded piles using ''p-y'' curves. MSc Dissertation, University of Patras

  • Randolph MF (1981) The response of flexible piles to lateral loading. Géotechnique 31(2):247–259

    Article  Google Scholar 

  • Reese LC, Van Impe WF (2001) Single piles and pile groups under lateral loading. Balkema, Rotterdam, The Netherlands

    Google Scholar 

  • Reese LC, Wang ST, Arrellaga JA, Hendrix J (1997) LPile Plus 3.0 for Windows, Ensoft Ink., Austin, Texas

  • Response-2000 (2001) Reinforced concrete sectional analysis using the modified compression field theory. Evan Bentz at Department of Civil Engineering, University of Toronto, Canada, V.0.8.5

  • Roesset JM (1980) Stiffness and damping coefficients of foundations. In: Proceedings of ASCE Geotechnical Engineering Division National Convention, pp 1–30

  • Rollins KM, Lane JD, Gerber TM (2005) Measured and computed lateral response of a pile group in sand. J Geotech Geoenviron Eng 131(1):103–114

    Article  Google Scholar 

  • Scott RF (1981) Foundation analysis. Prentice Hall, Englewood Cliffs

    Google Scholar 

  • Sullivan WR (1977) Development and evaluation of a unified method for the analysis of laterally loaded piles in clay. Unpublished MSc Dissertation, University of Texas, Austin

  • Syngros C (2004) Seismic response of piles and pile-supported bridge piers evaluated through case histories. PhD Dissertation, The City College and the Graduate Center of the City University of New York

  • Velez A, Gazetas G, Krishnan R (1983) Static and dynamic lateral deflection of piles in non-homogeneous soil stratum. Géotechnique 33(3):307–325

    Article  Google Scholar 

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Correspondence to E. G. Psaroudakis.

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Psaroudakis, E.G., Mylonakis, G.E. & Klimis, N.S. Non-linear Analysis of Laterally Loaded Piles Using "p-y" Curves. Geotech Geol Eng 39, 1541–1556 (2021). https://doi.org/10.1007/s10706-020-01575-0

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