Abstract
With the high-quality development of urban buildings, higher requirements are come up with for lateral bearing capacity of laterally loaded piles. Consequently, a more accurate analysis to predict the lateral response of the pile within an allowable displacement is an important issue. However, the current p-y curve methods cannot fully take into account the pile-soil interaction, which will lead to a large calculation difference. In this paper, a new analytical p-y curve is established and a finite difference method for determining the lateral response of pile is proposed, which can consider the separation effect of pile-soil interface and the coefficient of circumferential friction resistance. In particular, an analytical expression is developed to determine the compressive soil pressure by dividing the compressive soil pressure into two parts: initial compressive soil pressure and increment of compressive soil pressure. In addition, the relationship between compressive soil pressure and horizontal displacement of the pile is established based on the reasonable assumption. The correctness of the proposed method is verified through four examples. Based on the verified method, a parametric analysis is also conducted to investigate the influences of factors on lateral response of the pile, including internal friction angle, pile length and elastic modulus of pile.
摘要
随着城市建筑的高质量发展,对桩基的水平承载能力提出了更高的要求。因此,更准确地预测 水平受荷桩在允许位移范围内的横向响应是重要的。然而,现有p-y 曲线法不能充分考虑桩土相互作 用,导致预测的桩基水平响应差异较大。本文提出了一种新的理论p-y 曲线法,该方法可以考虑桩土 界面脱开效应和环向摩擦系数。在此基础上,根据有限差分模型建立了桩身横向响应分析方法。将径 向土压力视为初始径向土压力和径向土压力增量两部分,得到了径向土压力的解析表达式。另外,还 建立了桩侧径向土压力与桩身水平位移的关系。通过4 个算例验证了所提方法的正确性。在此基础上, 对内摩擦角、桩长和桩的弹性模量等的变化引起的桩身横向响应进行了参数分析。
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References
ZHANG Lei, GONG Xiao-nan, YU Jian-lin. Solutions for laterally loaded single pile by nonlinear subgrade reaction method [J]. Chinese Journal of Geotechnical Engineering, 2011, 33(2): 309–314. DOI: CNKI:SUN:YTGC.0.2011-02-027. (in Chinese)
XU Shao-hui, ZHANG Xu-qun, YUAN Bing-xiang. Action characteristic of CM composite foundation in deep soft soil area [J]. Construction Technology, 2016, 45(13): 67–71. DOI: https://doi.org/10.7672/sgjs2016130067. (in Chinese)
YANG Z X, JARDINE R J, ZHU B T, et al. Sand grain crushing and interface shearing during displacement pile installation in sand [J]. Géotechnique, 2010, 60(6): 469–482. DOI: https://doi.org/10.1680/geot.2010.60.6.469.
MATLOCK H. Correlation for design of laterally loaded piles in soft clay [C]// Proceedings of the 2nd Annual Offshore Technology Conference. Houston: Texas, 1970, 1: 577–594. DOI: https://doi.org/10.4043/1204-MS.
REESE L C, COX W R, KOOP F D. Analysis of laterally loaded piles in sand [C]// Proccedings of the Sixth Annual Offshore Technology Conference. Houston: Texas, 1974: 473–483. DOI: https://doi.org/10.4043/2080-ms.
THIEKEN K, ACHMUS M, LEMKE K, et al. Evaluation of p-y approaches for large-diameter monopiles in sand [J]. International Journal of Offshore and Polar Engineering, 2015, 25(2): 134–144. DOI: https://doi.org/10.17736/ijope.2015.cg09.
AMAR BOUZID D. Numerical investigation of large-diameter monopiles in sands: Critical review and evaluation of both API and newly proposed p-y curves [J]. International Journal of Geomechanics, 2018, 18(11): 04018141. DOI: https://doi.org/10.1061/(asce)gm.1943-5622.0001204.
SUN Yi-long, XU Cheng-shun, DU Xiu-li, et al. A modification p-y curve model of large-monopiles of offshore wind [J]. Engineering Mechanics, 2021, 38(4): 44–53. DOI: https://doi.org/10.6052/j.issn.1000-4750.2020.01.0051. (in Chinese)
ZHU Bin, XIONG Gen, LIU Jin-chao, et al. Centrifuge modelling of a large-diameter single pile under lateral loads in sand [J]. Chinese Journal of Geotechnical Engineering, 2013, 35(10): 1807–1815. (in Chinese)
KLAR A. Upper bound for cylinder movement using “elastic” fields and its possible application to pile deformation analysis [J]. International Journal of Geomechanics, 2008, 8(2): 162–167. DOI: https://doi.org/10.1061/(asce)1532-3641(2008)8:2(162).
HUANG Mao-song, YU Jian, ZHANG Chen-rong. p-y curve of lateral pile in clay based on strain pathapproach [J]. Chinese Journal of Geotechnical Engineering, 2015, 37(3): 400–409. DOI: https://doi.org/10.11779/CJGE201503002. (in Chinese)
LI Hong-jiang, LIU Song-yu, TONG Li-yuan. A method for p-y curve of a single pile based on stress increment [J]. Rock and Soil Mechanics, 2017, 38(10): 2916–2922. DOI: https://doi.org/10.16285/j.rsm.2017.10.019. (in Chinese)
ZHANG Xiao-ling, ZHAO Jing-jiu, DU Xiu-li. Computation method for soil resistance around pile based on cavity expansion theory [J]. China Journal of Highway and Transport, 2021(6): 19–26. (in Chinese)
ZOU Xin-jun, NIE Si-qing, HE Qiong. Analysis model of p-y curve for monopole based on the stress state of subsoil [J]. Journal of Railway Science and Engineering, 2019, 16(11): 2716–2724. DOI: CNKI:SUN:CSTD.0.2019-11-010.(in Chinese)
SONG Lin-hui, MEI Guo-xiong, ZAI Jin-min. Application of soil pressure model considering displacements to lateral loaded piles [J]. Rock and Soil Mechanics, 2007, 28(5): 1035–1039. DOI: https://doi.org/10.16285/j.rsm.2007.05.035. (in Chinese)
MEI Guo-xiong, ZAI Jin-min. Earth pressure calculating method considering displacement [J]. Rock and Soil Mechanics, 2001, 22(1): 83–85. DOI: https://doi.org/10.16285/j.rsm.2001.01.022.
ZHANG Lian-yang, SILVA F, GRISMALA R. Ultimate lateral resistance to piles in cohesionless soils [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2005, 131(1): 78–83. DOI: https://doi.org/10.1061/(asce)1090-0241(2005)131:1(78).
PRASAD Y V S N, CHARI T R. Lateral capacity of model rigid piles in cohesionless soils [J]. Soils and Foundations, 1999, 39(2): 21–29. DOI: https://doi.org/10.3208/sandf.39.2_21.
LIN Hai, NI Lu-su, SULEIMAN M T, et al. Interaction between laterally loaded pile and surrounding soil [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2015, 141(4): 04014119. DOI: https://doi.org/10.1061/(asce)gt.1943-5606.0001259.
ZHU B, SUN Y X, CHEN R P, et al. Experimental and analytical models of laterally loaded rigid monopiles with hardening p—y curves [J]. Journal of Waterway, Port, Coastal, and Ocean Engineering, 2015, 141(6): 04015007. DOI: https://doi.org/10.1061/(asce)ww.1943-5460.0000310.
ZHANG Lei. Study on behavior of single pile under lateral loading [D]. Hangzhou: Zhejiang University, 2011. (in Chinese)
TERZAGHI K. Evaluation of coefficient of subgrade reaction [J]. Geotechnique, 1955, 5(4): 297–326. DOI: https://doi.org/10.1680/geot.1955.5.4.297.
BHUSHAN K, LEE L J, GRIME D B. Lateral load tests on drilled piers in sand [C]// DRILLED PIERS A, CAISSONS A. Proceedings of a Session Sponsored by the Geotechnical Engineering Division and the ASCE National Convention. Missouri: St. Louis, 1981.
MEYER B J, REESE L C. Analysis of single piles under lateral loading, Research report No. 244-1 [R]. Austin, Texas: Center for Transportation Research, the University of Texas, 1979.
MURCHISON J M, O’NEILL M W. Evaluation of p-y relationships in cohesionless soils [C]// Analysis and Design of Pile Foundations: Proceedings of a Symposium Sponsored by the ASCE Geotechnical Engineering Division and a Session Sponsored by the ASCE Technical Council on Codes and Standards in Conjunction with the ASCE National Convention. San Francisco, California, 1984.
CARTER D P. A non-linear soil model for predicting lateral pile response [R]. Auckland, New Zealand: Civil Engineering Department, University of Auckland, 1984.
LING L F. Back analysis of lateral load tests on piles [R]. Auckland, New Zealand: Civil Engineering Department, University of Auckland, 1988.
TOMLINSON M, WOODWARD J. Pile design and construction practice [M]. 5th Ed. New York: Taylor & Francis, 2007: 172–173.
YANG Min, GE Bin, LI Wei-chao. Force on the laterally loaded monopile in sandy soil [J]. European Journal of Environmental and Civil Engineering, 2020, 24(10): 1623–1642. DOI: https://doi.org/10.1080/19648189.2018.1481769.
ZHU Bin, ZHU Rui-yan, LUO Jun, et al. Model tests on characteristics of ocean and offshore elevated piles with large lateral deflection [J]. Chinese Journal of Geotechnical Engineering, 2010, 32(4): 521–530. (in Chinese)
ZHU Bin, XIONG Gen, LIU Jin-chao, et al. Centrifuge modelling of a large-diameter single pile under lateral loads in sand [J]. Chinese Journal of Geotechnical Engineering, 2013, 35(10): 1807–1815. DOI: CNKI:SUN:YTGC.0.2013-10-007. (in Chinese)
TAK KIM B, KIM N K, JIN LEE W, et al. Experimental load — transfer curves of laterally loaded piles in nak-Dong river sand [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2004, 130(4): 416–425. DOI: https://doi.org/10.1061/(asce)1090-0241(2004)130:4(416).
FLEMING W G K, WELTMAN A J, RANDOLPH M F, et al. Piling engineering [M]. Glasgow and London: Surrey University Press, 1992.
GAO Ming, CHEN Jin-zhen, ZHENG Guo-fang, et al. Studies of behavior of lateral loaded piles under static, dynamic and cyclic loadings and proposal of p-y curve eormulation [J]. The Ocean Engineering, 1988, 6(3): 33–44. DOI: CNKI:SUN:HYGC.0.1988-03-005. (in Chinese)
JANOYAN K D, WHELAN M J. Interface stresses between soil and large diameter drilled shaft under lateral loading [C]// GeoSupport Conference 2004. Reston, VA, USA: American Society of Civil Engineers, 2004: 816–825. DOI: https://doi.org/10.1061/40713(2004)49.
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Project(52068004) supported by the National Natural Science Foundation of China; Project(2018JJA160134) supported by the Natural Science Foundation of Guangxi Province, China; Project(AB19245018) supported by Key Research Projects of Guangxi Province, China
Contributors
The overarching research goals were developed by JIANG Jie, and the analytical solution of p-y curve and finite difference method of laterally loaded piles were obtained by FU Chen-zhi. Additionally, FU Chen-zhi calculated the displacement, soil resistance and bending moment of pile and discussed the influences of factors, including internal friction angle, pile length and elastic modulus of pile. The initial draft of the manuscript was written by FU Chen-zhi, WANG Shun-wei, CHEN Chao-qi and OU Xiao-duo. FU Chen-zhi edited the draft of manuscript. All authors replied to reviewers’ comments and revised the final version.
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JIANG Jie, FU Chen-zhi, WANG Shun-wei, CHEN Chao-qi and OU Xiao-duo declare that they have no conflict of interest.
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Jiang, J., Fu, Cz., Wang, Sw. et al. An analytical p-y curve method based on compressive soil pressure model in sand soil. J. Cent. South Univ. 29, 1987–2004 (2022). https://doi.org/10.1007/s11771-022-5044-3
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DOI: https://doi.org/10.1007/s11771-022-5044-3
Key words
- laterally loaded piles
- compressive soil pressure model
- separation effect of pile-soil interface
- coefficient of circumferential friction resistance
- analytical p-y curve
- finite difference method