Abstract
New upper and lower bound solutions of undrained lateral capacity of rectangular piles under a general loading direction and full flow mechanism were investigated by using finite element limit analysis with plane strain condition. The true collapse loads of this problem were generally bracketed by computed upper and lower bound solutions to within 3%. Results were summarized in the form of three dimensionless variables, including soil–pile adhesion factor, pile aspect ratio, and lateral loading direction. Predicted failure mechanisms of laterally loaded rectangular piles associated with these parameters were examined and discussed. Approximate equations of failure envelopes for rectangular piles under a general loading direction were proposed for a convenient and accurate prediction of their undrained lateral capacity in practice.
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Achmus, M., Kuo, Y. S., and Abdel-Rahman, K. (2009). “Behavior of monopile foundations under cyclic lateral load.” Computers and Geotechnics, vol. 36, no. 5, pp. 725–735, DOI: 10.1016/j.compgeo. 2008.12.003.
Baguelin, F., Frank, R., and Said, Y. H. (1977). “Theoretical study of lateral reaction mechanism of piles.” Geotechnique, vol. 27, no. 3, pp. 405–434, DOI: 10.1680/geot.1977.27.3.405.
Baker, R., Shukha, R., Operstein, V., and Frydman, S. (2006). “Stability charts for pseudo-static slope stability analysis.” Soil Dynamics and Earthquake Engineering, vol. 26, no. 9, pp. 813–823, DOI: 10.1016/j.soildyn.2006.01.023.
Bisoi, S. and Haldar, S. (2014). “Dynamic analysis of offshore wind turbine in clay considering soil–monopile–tower interaction.” Soil Dynamics and Earthquake Engineering, vol. 63, pp. 19–35, DOI: 10.1016/j.soildyn.2014.03.006.
Boonyatee, T., Tongjarukae, J., Uaworakunchai, T., and Ukritchon, B. (2015). “A review on design of pile foundations in Bangkok.” Geotechnical Engineering Journal of the SEAGS & AGSSEA, vol. 46, no. 1, pp. 76–85.
Broms, B. B. (1964). “Lateral resistance of piles in cohesive soils.” Journal of the Soil Mechanics & Foundation, vol. 90, no. 2, pp. 27–63.
Carter, J. P., and Booker, J. R. (1981). “Consolidation due to lateral loading of a pile.” Proc., 10th Int. Conf. on Soil Mechanics and Foundation Engineering, Balkema, Rotterdam, Netherlands, pp. 647–650.
Chen, W. F. (1975). Limit analysis and soil plasticity. Elsevier, Amsterdam, The Netherlands.
Depina, I., Le, T. M. H., Eiksund, G., and Benz, T. (2015). “Behavior of cyclically loaded monopile foundations for offshore wind turbines in heterogeneous sands.” Computers and Geotechnics, vol. 65, pp. 266–277, DOI: 10.1016/j.compgeo.2014.12.015.
Drucker, D. C., Prager, W., and Greenberg, H. J. (1952). “Extended limit design theorems for continuous media.” Quarterly of Applied Mathematics, vol. 9, no. 4, pp. 381–389.
Fatahi, B., Basack, S., Ryan, P., Zhou, W. H., and Khabbaz, H. (2014). “Performance of laterally loaded piles considering soil and interface parameters.” Geomechanics and Engineering, vol. 7, no. 5, pp. 495–524, DOI: 10.12989/gae.2014.7.5.495.
Fleming, K., Weltman, A., Randolph, M., and Elson, K. (2008). Piling engineering (3rd Edition), Taylor & Francis, New York, NY, USA.
Georgiadis, K., Sloan, S. W., and Lyamin, A. V. (2013a). “Ultimate lateral pressure of two side–by–side piles in clay.” Géotechnique, vol. 63, no. 9, pp. 733–745, DOI: 10.1680/geot.12.P.030.
Georgiadis, K., Sloan, S. W., and Lyamin, A. V. (2013b). “Undrained limiting lateral soil pressure on a row of piles.” Computers and Geotechnics, vol. 54, pp. 175–184, DOI: 10.1016/j.compgeo.2013. 07.003.
Georgiadis, K., Sloan, S. W., and Lyamin, A. V. (2013c). “Effect of loading direction on the ultimate lateral soil pressure of two piles in clay.” Géotechnique, vol. 63, no. 13, pp. 1170–1175, DOI: 10.1680/geot.13.T.003.
Hokmabadi, A. S. and Fatahi, B. (2016). “Influence of foundation type on seismic performance of buildings considering soil–structure interaction.” International Journal of Structural Stability and Dynamics, Vol. 16, No. 8, pp.1550043, DOI: 10.1142/S0219455415500431.
Hokmabadi, A. S., Fakher, A., and Fatahi, B. (2012). “Full scale lateral behaviour of monopiles in granular marine soils.” Marine Structures, Vol. 29, No. 1, pp.198-210, DOI: 10.1016/j.marstruc.2012.06.001.
Keawsawasvong, S. and Ukritchon, B. (2016a). “Ultimate lateral capacity of two dimensional plane strain rectangular pile in clay.” Geomechanics & Engineering, vol. 11, no. 2, pp. 235–252, DOI: 10.12989/gae. 2016.11.2.235.
Keawsawasvong, S. and Ukritchon, B. (2016b). “Finite element limit analysis of pullout capacity of planar caissons in clay.” Computers and Geotechnics, vol. 75, pp. 12–17, DOI: 10.1016/j.compgeo. 2016.01.015.
Keawsawasvong, S. and Ukritchon, B. (2017a). “Undrained stability of an active planar trapdoor in non-homogeneous clays with a linear increase of strength with depth.” Computers and Geotechnics, vol. 81, pp. 284–293, DOI: 10.1016/j.compgeo.2016.08.027.
Keawsawasvong, S. and Ukritchon, B. (2017b). “Undrained limiting pressure behind soil gaps in contiguous pile walls.” Computers and Geotechnics, vol. 83, pp. 152–158, DOI: 10.1016/j.compgeo.2016. 11.007.
Keawsawasvong, S. and Ukritchon, B. (2017c). “Undrained lateral capacity of I-shaped concrete piles.” Songklanakarin Journal of Science and Technology. (In press)
Koppula, S. D. (1984). “Pseudo-static analysis of clay slopes subjected to earthquakes.” Geotechnique, Vol. 34, No. 1, pp.71–79, DOI: 10.1680/geot.1984.34.1.71.
Krabbenhoft, K., Lyamin, A. V., and Sloan, S. W. (2007). “Formulation and solution of some plasticity problems as conic programs.” International Journal of Solids and Structures, vol. 44, pp. 1533–1549, DOI: 10.1016/j.ijsolstr.2006.06.036.
Krabbenhoft, K., Lyamin, A. V., Hjiaj, M., and Sloan, S. W. (2005). “A new discontinuous upper bound limit analysis formulation.” International Journal for Numerical Methods in Engineering, Vol. 63, pp. 1069–1088, DOI: 10.1002/nme.1314.
Krabbenhoft, K., Lyamin, A., and Krabbenhoft, J. (2015). Optum computational engineering (OptumG2), Available on, www.optumce. com
Ladd, C. C. (1991). “Stability evaluations during stage construction.” Journal of Geotechnical Engineering, vol. 117, no. 4, pp. 540–615.
Lei, G. H. and Ng, C. W. W. (2007). “Rectangular barrettes & circular bored piles in saprolites.” Proc., the Institution of Civil Engineers, Geotechnical Engineering, vol. 160, no. 4, pp. 237–242, DOI: 10.1680/geng.2007.160.4.237.
Lesny, K., Paikowsky, S. G., and Gurbuz, A. (2007). “Scale effects in lateral load response of large diameter monopiles.” Geo-Denver 2007: new peaks in geotechnics, Colorado: ASCE.
Li, W., Zhu, B., and Yang, M. (2017). “Static response of monopile to lateral load in overconsolidated dense sand.” Journal of Geotechnical and Geoenvironmental Engineering, vol. 143, no. 7, pp. 04017026, DOI: 10.1061/(ASCE)GT.1943-5606.0001698.
Lombardi, D., Bhattacharya, S., and Wood, D. M. (2013). “Dynamic soil–structure interaction of monopile supported wind turbines in cohesive soil.” Soil Dynamics and Earthquake Engineering, vol. 49, pp. 165–180, DOI: 10.1016/j.soildyn.2013.01.015.
Lyamin, A. V., Krabbenhoft, K., Abbo, A. J., and Sloan, S. W. (2005). “General approach to modelling discontinuities in limit analysis.” Proceedings of IACMAG, Turin, Italy.
Makrodimopoulos, A. and Martin, C. M. (2006). “Lower bound limit analysis of cohesive–frictional materials using second–order cone programming.” International Journal for Numerical Methods in Engineering, vol. 66, pp. 604–634, DOI: 10.1002/nme.1567.
Makrodimopoulos, A. and Martin, C. M. (2007). “Upper bound limit analysis using simplex strain elements and second–order cone programming.” International Journal for Numerical and Analytical Methods in Geomechanics, vol. 31, pp. 835–865, DOI: 10.1002/nag.567.
Martin, C. M. and Randolph, M. F. (2006). “Upper–bound analysis of lateral pile capacity in cohesive soil.” Géotechnique, vol. 56, no. 2, pp. 141–145.
Muff, J. D., and Hamilton, J. M. (1993). “P–Ultimate for undrained analysis of laterally loaded piles.” Journal of Geotechnical Engineering, vol. 119, no. 1, pp. 91–107.
Ng, C. W. W. and Lei, G. H. L. (2002). “Performance of long rectangular barrettes in Granitic saprolites.” J. Geotech. Geoenviron. Eng., vol. 129, no. 8, pp. 685–696, DOI: 10.1061/(ASCE)1090-0241 (2003)129%3A8(685).
Ng, C. W. W., Rigby, D. B., Lei, G. H., and Ng, S. W. L. (1999). “Observed performance of a short diaphragm wall panel.” Géotechnique, vol. 49, no. 5, pp. 681–694, DOI: 10.1680/geot.1999.49.5.681.
Ng, C. W. W., Rigby, D.B., Ng, S. W., and Lei, G. H. L. (2002). “Field studies of well–instrumented barrette in Hong Kong.” J. Geotech. Geoenviron. Eng., vol. 126, no. 1, pp. 60–73, DOI: 10.1061/(ASCE) 1090-0241(2001)127:5(466).
Osman, A. S. and Randolph, M. F. (2010). “Response of a solid infinite cylinder embedded in a poroelastic medium and subjected to a lateral load.” International Journal of Solids and Structures, vol. 47, Nos. 18–19, pp. 2414–2424, DOI: 10.1016/j.ijsolstr.2010.05.001.
Osman, A. S. and Randolph, M. F. (2012). “Analytical solution for the consolidation around a laterally loaded pile.” International Journal of Geomechanics, vol. 12, no. 3, pp. 199–208, DOI: 10.1061/% 28ASCE%29GM.1943-5622.0000123.
Randolph, M. F. and Houlsby, G. T. (1984). “The limiting pressure on circular pile loaded laterally in cohesive soil.” Géotechnique, vol. 34, no. 4, pp. 613–623, DOI: 10.1680/geot.1984.34.4.613.
Reese, L., Isenhower, W., and Wang, S.T. (2006). Analysis & design of shallow & deep foundations. Hoboken, John Wiley & Sons, Inc.
Rowe, R. K. (1978). Soil structure interaction analysis & its application to the prediction of anchor behavior, Thesis, University or Sydney.
Sloan, S. W. (2013). “Geotechnical stability analysis.” Géotechnique, vol. 63, no. 7, pp. 531–572, DOI: 10.1680/geot.12.RL.001.
Teparaksa, W. (2015). “Deep barrette pile capacity with aging effect.” Geotechnical Engineering Journal of the SEAGS & AGSSEA, vol. 46, no. 2, pp. 68–76.
Thasnanipan, N., Aye, Z. Z., and Teparaksa, W. (2002). “Barrette of over 50,000 kN ultimate capacity constructed in the multi–layered soil of Bangkok.” Geotechnical Special Publication, 116II, pp. 1073–1087, DOI: 10.1061/40601(256)76.
Thasnanipan, N., Aye, Z. Z., Singtogaw, K., and Pravesvararat, S. (2004). “Current practice & future trends of cast–in–place deep foundation in Thailand.” Geotechnical Special Publication, vol. 125, pp. 128–139, DOI: 10.1061/40743(142)8.
Ukritchon, B. and Keawsawasvong, S. (2016). “Undrained pullout capacity of cylindrical suction caissons by finite element limit analysis.” Computers and Geotechnics, vol. 80, pp. 301–311, DOI: 10.1016/j.compgeo.2016.08.019.
Ukritchon, B. and Keawsawasvong, S. (2017). “Unsafe error in conventional shape factor for shallow circular foundations in normally consolidated clays.” Journal of Geotechnical and Geoenvironmental Engineering, vol. 143, no. 6, pp. 02817001, DOI: 10.1061/(ASCE)GT.1943-5606.0001670.
Ukritchon, B., Yoang, S., and Keawsawasvong, S. (2017). “Bearing capacity of shallow foundations in clay with linear increase in strength and adhesion factor.” Marine Georesources and Geotechnology, DOI: 10.1080/1064119X.2017.1326991.
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Ukritchon, B., Keawsawasvong, S. Undrained Lateral Capacity of Rectangular Piles under a General Loading Direction and Full Flow Mechanism. KSCE J Civ Eng 22, 2256–2265 (2018). https://doi.org/10.1007/s12205-017-0062-7
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DOI: https://doi.org/10.1007/s12205-017-0062-7