• 全国中文核心期刊
  • 中国科技核心期刊
  • 美国工程索引(EI)收录期刊
  • Scopus数据库收录期刊
LI Yang, WU Shu-guang, ZHANG Si-ping, GAO Qian-de, HUANG Lei. Linear equation solution of horizontally loaded piles and its application[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(S1): 70-74. DOI: 10.11779/CJGE2020S1014
Citation: LI Yang, WU Shu-guang, ZHANG Si-ping, GAO Qian-de, HUANG Lei. Linear equation solution of horizontally loaded piles and its application[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(S1): 70-74. DOI: 10.11779/CJGE2020S1014

Linear equation solution of horizontally loaded piles and its application

More Information
  • Received Date: June 03, 2020
  • Available Online: December 07, 2022
  • According to the Winkler foundation beam theory, the foundation function is constantized by the integral median theorem, and a linear equation system is constructed for the entire pile and all nodes through the condition that the internal forces and displacements of the nodes are continuous. This process is implemented by matlab programming, and two examples are used to verify the correctness of the calculation of the response of the horizontally loaded pile body in the case of single-layer foundation and multi-layer foundation. In the calculation example, multiple sets of parameters are changed, which shows that the location of the maximum value of the bending moment of the pile body, the zero point value of the bending moment and the zero point value of displacement are affected by the resistance of the soil layer near the pile top and the soil layer in the middle of the pile under the horizontal load of the pile top. The resistance is controlled by the resistance of the entire soil layer around the pile, and for the horizontal response of the pile body under the same situation, the position where the bending moment zero appears will lag behind the position where the displacement zero appears by about (2~3)d.
  • [1]
    ROWE R K. Pile foundation analysis and design: Book review[J]. Canadian Geotechnical Journal, 1981, 18(3): 472-473. doi: 10.1139/t81-056
    [2]
    龚晓南. 桩基工程手册[M]. 北京: 中国建筑工业出版社, 2016.

    GONG Xiao-nan, Handbook of Pile Foundation of Engineering[M]. Beijing: China Architecture and Building Press, 2016. (in Chinese)
    [3]
    吴恒立. 计算弹性地基中推力桩的双参数法(推力桩计算理论研究报告之一)[J]. 重庆交通大学学报(自然科学版, 1983(1): 11-24. https://www.cnki.com.cn/Article/CJFDTOTAL-CQJT198301001.htm

    WU Heng-li. Double-parameter method used in calculating the laterally loaded pile in the elastic foundation[J]. Journal of Chongqing Jiaotong University, 1983(1): 11-24. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-CQJT198301001.htm
    [4]
    竹下淳. 横向重な受けゐ有限长クィの数值解法[J]. 土木技术, 1966, 24(5): 32-46.

    TAKESHITA Jun. Numerical solution of finite-length piles under lateral and vertical loads[J]. Civil Engineering Technology, 1966, 24(5): 32-46. (in Japanese)
    [5]
    PISE P J. Laterally loaded piles in a two-layer soil system[J]. J Geotech Engng Div, ASCE, 1982, 108: 1177-1181. doi: 10.1061/AJGEB6.0001342
    [6]
    中国建筑科学研究院. 建筑桩基技术规范:JGJ 94—2008[S]. 北京: 中国建筑工业出版社, 2008.

    China Academy of Building Sciences. Technical Code for Building Pile Foundation: JGJ 94—2008[S]. Beijing: China Architecture and Building Press, 2008. (in Chinese)
    [7]
    公路桥涵地基与基础设计规范:JTG D63—2007[S]. 北京: 人民交通出版社, 2007.

    Code for Design of Ground Base and Foundation of Highway Bridges and Culverts: JTG D63—2007[S]. Beijing: China Communications Press, 2007. (in Chinese)
    [8]
    赵明华. 多层地基及横向荷载下桩的分析[J]. 中南公路工程, 1986(4): 54-60. https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGL198604007.htm

    ZHAO Ming-hua. Analysis of pile under multi-layer foundation and transverse load[J]. Central South Highway Engineering, 1986(4): 54-60. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGL198604007.htm
    [9]
    赵明华, 王贻荪, 肖鹤松. 多层地基横向受荷桩的分析[J]. 建筑结构, 1994(2): 6-10. https://www.cnki.com.cn/Article/CJFDTOTAL-JCJG199402001.htm

    ZHAO Ming-hua, WANG Yi-sun, XIAO Sun-he. Analysis of laterally loaded pile in multi-layer foundation[J]. Building Structure, 1994(2): 6-10. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JCJG199402001.htm
    [10]
    彭文祥, 赵明华. 成层地基中倾斜荷载作用下桩的受力研究[J]. 中南公路工程, 1999(1): 27-30. https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGL199901009.htm

    PENG Wen-xiang, ZHAO Ming-hua. Study on the force of pile under inclined load in layered foundation[J]. Central South Highway Engineering, 1999(1): 27-30. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGL199901009.htm
    [11]
    戴自航, 陈林靖. 多层地基中水平荷载桩计算m法的两种数值解[J]. 岩土工程学报, 2007, 29(5): 690-696. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC200705010.htm

    DAI Zi-hang, CHEN Lin-qing. Two numerical solutions of laterally loaded piles installed in multi-layered soils by m method[J]. Chinese Journal of Geotechnical Engineering, 2007, 29(5): 690-696. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC200705010.htm
    [12]
    竺明星, 龚维明, 何小元. 成层地基土中水平受荷桩桩身响应的矩阵传递解[J]. 岩土工程学报, 2015, 37(增刊2): 46-50. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC2015S2011.htm

    ZHU Ming-xing, GONG Wei-ming, HE Xiao-yuan. Transfer matrix solutions for responses of laterally loaded piles in multilayered soil deposits[J]. Chinese Journal of Geotechnical Engineering, 2015, 37(S2): 46-50. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC2015S2011.htm
    [13]
    詹红志, 王亮清, 王昌硕, 等. 考虑滑床不同地基系数的抗滑桩受力特征研究[J]. 岩土力学, 2014, 35(增刊2): 250-256. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX2014S2035.htm

    ZHAN Hong-zhi, WANG Liang-qing, WANG Chang-shuo, et al. Study of mechanical characters of anti-sliding piles considering different foundation coefficients of sliding bed[J]. Rock and Soil Mechanics, 2014, 35(S2): 250-256. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX2014S2035.htm
    [14]
    竺明星, 龚维明, 何小元, 等. 纵横向受荷基桩变形内力的矩阵传递解[J]. 岩土力学, 2014, 35(11): 3281-3288. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201411037.htm

    ZHU Ming-xing, GONG Wei-ming, HE Xiao-yuan, et al. Matrix transfer solutions to deformation and internal forces of piles under combined vertical and lateral loads[J]. Rock and Soil Mechanics, 2014, 35(11): 3281-3288. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201411037.htm
    [15]
    赵明华, 邹新军, 罗松南, 等. 横向受荷桩桩侧土体位移应力分布弹性解[J]. 岩土工程学报, 2004, 26(6): 767-771. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC200406007.htm

    ZHAO Ming-hua, ZHOU Xin-jun, LUO Song-nan, et al. Elastic analytic solution to the displacement and stress distribution in the soil around laterally loaded piles[J]. Chinese Journal of Geotechnical Engineering, 2004, 26(6): 767-771. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC200406007.htm
    [16]
    杨明辉. 岩质陡坡桥梁桩基承载机理及其分析方法研究[D]. 长沙: 湖南大学, 2006.

    YANG Ming-hui. Study on bearing mechanism and analysis method of pile foundation of rock steep slope bridge[D]. Changsha: Hunan University,2006. (in Chinese)
    [17]
    冯忠居, 赵明华. 特殊地区基础工程[M]. 北京: 人民交通出版社, 2008.

    FENG Zhong-ju, ZHAO Ming-hua. Basic Engineering in Special Area[M]. Beijing: China Communications Press, 2008. (in Chinese)
    [18]
    赵明华. 桥梁桩基计算与检测[M]. 北京: 人民交通出版社, 2000.

    ZHAO Ming-hua. Calculation and Test of Bridge Pile Foundation[M]. Beijing: China Communications Press, 2000. (in Chinese)
  • Related Articles

    [1]LIAO Lijian, SU Wei, YANG Xinan, WANG Yuquan. A bidirectional m-method for allocating spatial effects of special pile groups[J]. Chinese Journal of Geotechnical Engineering, 2024, 46(6): 1197-1205. DOI: 10.11779/CJGE20230212
    [2]LI Xiao-long, SHI Hong-yan. 3-D analysis method for pile-supported geosynthetic reinforcements based on analog equation method[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(5): 925-933. DOI: 10.11779/CJGE202005015
    [3]ZHU Ming-xing, GONG Wei-ming, HE Xiao-yuan. Transfer matrix solutions for responses of laterally loaded piles in multilayered soil deposits[J]. Chinese Journal of Geotechnical Engineering, 2015, 37(zk2): 46-50. DOI: 10.11779/CJGE2015S2010
    [4]LIU Shan-nan, HOU Sheng-nan, CAI Zhong-xiang. Applicability of m-method for horizontal bearing capacity of single pile in Shanghai area[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(zk2): 721-724.
    [5]HUANG Xiao-liang, YUE Jian-wei, LI Lian-dong, SUN Xin-sheng. Calculation method for horizontal resistance coefficient of foundation soil with composite piles[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(sup2): 192-196.
    [6]WU Feng, SHI Beiling, ZHUO Yang. Nonlinear m method for piles under lateral load[J]. Chinese Journal of Geotechnical Engineering, 2009, 31(9): 1398-1401.
    [7]ZHAO Minghua, ZHANG Ling, MA Binhui, ZHAO Heng. Nonlinear analysis of beams on elastic foundation with consideration of horizontal resistance[J]. Chinese Journal of Geotechnical Engineering, 2009, 31(7): 985-990.
    [8]MA Lihong, QIU Zhiping, WANG Xiaojun, ZHANG Jianhui. Interval element-free Galerkin method for plates on Winkler foundation[J]. Chinese Journal of Geotechnical Engineering, 2008, 30(3): 384-389.
    [9]DAI Zihang, CHEN Linjing. Two numerical solutions of laterally loaded piles installed in multi-layered soils by m method[J]. Chinese Journal of Geotechnical Engineering, 2007, 29(5): 690-696.
    [10]Tian Bo, Ma Songlin, Xu Guanghui, Zhong Yang. Transfer matrix method to solve axisymmetrical multilayered problems using[J]. Chinese Journal of Geotechnical Engineering, 2000, 22(5): 572-575.
  • Cited by

    Periodical cited type(4)

    1. 王舸,廖晨聪,张璐璐,林奖勤,叶冠林,张泽超. 大直径水平受荷单桩的抗力组分分析及其应用. 土木工程学报. 2024(08): 72-82 .
    2. 马美玲,李立辰,吴文兵,刘浩,罗仑博,梅国雄. 基于现场试验的海上风电大直径钢管桩p-y曲线特性分析. 海洋工程. 2024(05): 44-53 .
    3. 闫志晓,李雨润,王永志. 砂土场地高承台群桩基础地震响应特征试验研究. 湖南大学学报(自然科学版). 2022(07): 138-147 .
    4. 王燕. 软土地基水平受荷桩力学性能研究. 冶金管理. 2021(15): 113-115 .

    Other cited types(4)

Catalog

    Article views (213) PDF downloads (141) Cited by(8)
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return