Abstract
This study presents the response of a vertically loaded pile in undrained clay considering spatially distributed undrained shear strength. The probabilistic study is performed considering undrained shear strength as random variable and the analysis is conducted using random field theory. The inherent soil variability is considered as source of variability and the field is modeled as two dimensional non-Gaussian homogeneous random field. Random field is simulated using Cholesky decomposition technique within the finite difference program and Monte Carlo simulation approach is considered for the probabilistic analysis. The influence of variance and spatial correlation of undrained shear strength on the ultimate capacity as summation of ultimate skin friction and end bearing resistance of pile are examined. It is observed that the coefficient of variation and spatial correlation distance are the most important parameters that affect the pile ultimate capacity.
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References
Bowles JE (1997) Foundation analysis and design. McGraw-Hill International Editions, 6th edn. McGraw-Hill Book Company, Singapore
Donovan K, Pariseau WG, Ceepak M (1984) Finite element approach to cable bolting in steeply dipping VCR slopes. Geomechanics application in underground hard rock mining. Society of Mining Engineers, New York, pp 65–90
Fenton GA (1997) Probabilistic methods in geotechnical engineering. In: Workshop presented at ASCE GeoLogan’97 conference, Logan, Utah
Fenton GA, Griffiths DV (2005) Three-dimensional probabilistic foundation settlement. J Geotech Geoenviron Eng ASCE 131(2):232–239
Fenton GA, Griffiths DV (2007) Reliability based deep foundation design. In: Proceedings of GeoDenver: new peaks in geotechnics, ASCE, Reston. Paper no. GSP 170
Griffiths DV, Fenton GA (2001) Bearing capacity of spatially random soil: the undrained clay Prandtl problem revisited. Géotechnique 51(4):351–359
Haldar S, Babu GLS (2008) Effect of soil spatial variability on the response of laterally loaded pile in undrained clay. Comput Geotech 35:537–547
Houlsby GT, Martin CM (2003) Undrained bearing capacity factors for conical footings on clay. Géotechnique 53(5):513–520
Itasca Consulting Group Inc (2005) FLAC, fast Lagrangian analysis of continua. User’s manual, version 5.0. Minneapolis
Meyerhof GG (1970) Safety factors in soil mechanics. Can Geotech J 7(4):349–355
Phoon KK, Kulhawy FH (1999) Evaluation of geotechnical property variability. Can Geotech J 36:625–639
Popescu R, Prevost JH, Deodatis G (1997) Effects of spatial variability on soil liquefaction: some design recommendations. Géotechnique 47(5):1019–1036
Popescu R, Deodatis G, Nobahar A (2005) Effects of random heterogeneity of soil properties on bearing capacity. Probab Eng Mech 20:324–341
Poulos HG, Davis EH (1980) Pile foundation analysis and design. Wiley, New York
Shinozuka M, Yamazaki F (1988) Stochastic finite element analysis: an introduction, stochastic structural dynamics, progress in theory and applications. Elsevier X-Direction Applied Science, London
Skempton AW (1951) The bearing capacity of clays. Build Res Congr Lond Inst Civ Eng Div I 1:180–189
Sladen JA (1992) The adhesion factor: applications and limitations. Can Geotech J 29:322–326
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The authors thank the reviewers for their critical comments which have been very useful in improving the work presented in this paper.
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Haldar, S., Babu, G.L.S. Response of Vertically Loaded Pile in Clay: A Probabilistic Study. Geotech Geol Eng 30, 187–196 (2012). https://doi.org/10.1007/s10706-011-9461-6
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DOI: https://doi.org/10.1007/s10706-011-9461-6