Calculation of Pile-Soil Stress Ratio of Cement-Soil Mixing Pile Composite Foundation and Cushion Optimization Design

  • Liu Guangxiu ,
  • Dang Faning ,
  • Ma Xiaoli ,
  • Li Yugen
Expand
  • 1. Institute of Geotechnical Engineering, Xi’an University of Technology, Xi’an 710048, P.R. China;
    2. School of Architecture Engineering, Yulin University, Yulin, Shaanxi 719000, P.R. China;
    3. Key Laboratory for Special Soil Mechanics and Engineering of Yulin, Yulin, Shaanxi 719000, P.R. China

Received date: 2025-01-07

  Online published: 2025-09-03

Abstract

The theoretical calculation method of pile-soil stress ratio of cement-soil mixing pile composite foundation with cushion under rigid foundation and the optimal design of cushion layer was studied. Firstly, based on the analysis of the mechanical deformation characteristics of cement-soil mixing pile composite foundation, the equivalent reinforcement area of single pile was taken as analysis unit, the distribution of pile side friction was simplified into a piecewise linear model, and the critical length of cement-soil mixing pile in composite foundation was defined from the perspective of bearing capacity. Then, based on the load transfer differential equation of the unit body, the pile-soil deformation coordination condition at the neutral plane depth, and the mechanical equilibrium relationship of the pile body at the critical pile length, a new method for calculating the pile-soil stress ratio of a cement-soil mixing pile composite foundation, considering negative friction, was established. The feasibility of the calculation method was verified by engineering examples, and the influence of cushion thickness, cushion modulus, pile diameter, pile spacing, pile-soil modulus and other factors on the pile-soil stress ratio were analyzed. The results show that: The pile-soil stress ratio decreases with the increase of cushion thickness and compression modulus of soil between piles, increases with the increase of cushion modulus, pile spacing and pile elastic modulus, and increases first and then decreases with the increase of pile diameter. The effect of pile-soil area replacement ratio on pile-soil stress ratio is not the only monotonic relationship, but is affected by the pile diameter and pile spacing. Finally, according to the design index of pile-soil stress ratio, the flexibility coefficient of cushion was obtained by inversion of this calculation method, and the thickness of cushion was optimized by combining with regional experience.

Cite this article

Liu Guangxiu , Dang Faning , Ma Xiaoli , Li Yugen . Calculation of Pile-Soil Stress Ratio of Cement-Soil Mixing Pile Composite Foundation and Cushion Optimization Design[J]. Chinese Journal of Underground Space and Engineering, 2025 , 21(4) : 1373 -1383 . DOI: 10.20174/j.JUSE.2025.04.29

References

[1] 王启铜. 柔性桩的沉降(位移)特性及荷载传递规律[D]. 杭州: 浙江大学, 1991. (Wang Qitong. Settlement (displacement) characteristics and load transfer behavior of the flexible pile[D]. Hangzhou: Zhejiang University, 1991. (in Chinese))
[2]中华人民共和国住房和城乡建设部,中华人民共和国国家质量监督检验检疫总局.复合地基技术规范(GB/T 50783-2012)[S]. 北京:中国计划出版社,2012. (Ministry of Housing and Urban-Rural Development of the People's Republic of China.General Administration of Quality Supervision, Inspection and Quarantine of the People.Technical code for composite foundation[S]. Beijing: China Planning Press, 2012. (in Chinese))
[3]陈明, 李镜培, 梁发云, 等. 刚性桩复合地基负摩阻区深度的一种计算方法[J]. 同济大学学报(自然科学版), 2011, 39(7): 955-959. (Chen Ming, Li Jingpei, Liang Fayun, et al. A calculation method for depth of negative friction zone of rigid pile composite foundation[J]. Journal of TongJi University (Natural Science), 2011, 39(7): 955-959. (in Chinese))
[4]陈健, 郑俊杰, 陈保国, 等. 考虑负摩阻力的刚性桩复合地基工作性状分析[J]. 岩土力学, 2008, 29(7): 1955-1959. (Chen Jian, Zheng Junjie, Chen Baoguo, et al. Analysis of working behavior of rigid pile composite ground considering influence of negative skin friction[J]. Rock and Soil Mechanics, 2008, 29(7): 1955-1959. (in Chinese))
[5]武崇福, 郭维超, 李雨浓, 等. 考虑负摩阻力的刚性桩复合地基中性面深度及桩土应力比计算[J]. 岩土工程学报, 2016, 38(2): 278-287. (Wu Chongfu, Guo Weichao, Li Yunong, et al. Calculation of neutral surface depth and pile-soil stress ratio of rigid pile composite foundation considering influence of negative friction[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(2): 278-287. (in Chinese))
[6]姜文雨, 刘一. 刚性桩复合地基中性面深度与桩土应力比计算[J]. 岩土力学, 2018, 39(12): 266-272. (Jiang Wenyu, Liu Yi. Determination of neutral plane depth and pile-soil stress ratio of the rigid pile composite foundation[J]. Rock and Soil Mechanics, 2018, 39(12): 266-272. (in Chinese))
[7]赵明华, 何腊平, 张玲. 柔性基础下刚性桩复合地基沉降计算[J]. 公路交通科技, 2010, 27(5): 72-77. (Zhao Minghua, He Laping, Zhang Ling. Calculation of Settlement of composite foundation with rigid piles under flexible ground[J]. Journal of Highway and Transportation Research and Development, 2010, 27(5): 72-77. (in Chinese))
[8]郑刚, 姜忻良, 顾晓鲁. 水泥搅拌桩荷载传递机理研究[J]. 土木工程学报, 2002, 35(5): 82-86. (Zheng Gang, Jiang Xinliang, Gu Xiaolu. Research on the mechanism of load transfer for cement-soil pile[J]. China Civil Engineering Journal, 2002, 35(5): 82-86. (in Chinese))
[9]段继伟, 龚晓南, 曾国熙. 水泥搅拌桩的荷载传递规律[J]. 岩土工程学报, 1994, 16(4): 1-8. (Duan Jiwei, Gong Xiaonan, Zeng Guoxi. Load transfer behavior of cement treated soil column[J]. Chinese Journal of Geotechnical Engineering, 1994, 16(4): 1-8. (in Chinese))
[10]舒翔, 王福忠. 确定柔性桩复合地基有效桩长的简化方法[J]. 工业建筑, 2001, 31(11) : 16-17. (Shu Xiang, Wang Fuzhong. A simplified method determining the effective length of flexible pile in composite foundation[J]. Industrial Construction, 2001, 31(11): 16-17. (in Chinese))
[11]张仪萍, 徐栋. 柔性桩复合地基的沉降分析[J]. 浙江大学学报(工学版), 2007, 41(1): 71-75. (Zhang Yiping, Xu Dong. Settlement of composite ground reinforced by deformable piles[J]. Journal of Zhejiang University (Engineering Science), 2007, 41(1): 71-75. (in Chinese))
[12]李永刚, 赵春风, 廖乾旭, 等. 路堤荷载下水泥土搅拌桩复合地基沉降分析[J]. 中南大学学报(自然科学版), 2012, 43(11): 4501-4507. (Li Yonggang, Zhao Chunfeng, Liao Qianxu, et al. Settlement analysis of cement-soil mixed column composite foundation under embankment load[J]. Journal of Central South University (Science and Technology), 2012, 43(11): 4501-4507. (in Chinese))
[13]张雁, 黄强. 半刚性桩复合地基性状分析[J]. 岩土工程学报, 1993(2): 86-93. (Zhang Yan, Huang Qiang. Character Analysis of Semi-rigid Pile Composite Foundation[J]. Chinese Journal of Geotechnical Engineering, 1993(2): 86-93. (in Chinese))
[14]龚晓南. 复合地基理论及工程应用[M]. 北京: 中国建筑工业出版社, 2007. (Gong Xiaonan. The theory and application of composite foundation[M]. Beijing: China Architecture and Building Press, 2007. (in Chinese))
[15]Wu Y P, Fu L M, Wu W P, et al. Nonlinear stress analysis of flexible pile composite foundation by energy method[J]. Advances in Materials Science and Engineering, 2018,2018:8176398.
[16]商庆坤, 饶以苹, 张行政. 一种计算水泥土搅拌桩复合地基桩土应力比的方法[J]. 中国水运, 2022, 22(2): 143-144. (Shang Qingkun, Rao Yiping, Zhang Xingzheng. A method for calculating the pile-soil stress ratio of cement soil mixing pile composite foundation[J]. China Water Transport, 2022, 22(2): 143-144. (in Chinese))
[17]宋修广, 宋文义, 苏公灿. 水泥搅拌桩桩土应力比研究[J]. 山东大学学报(工学版), 2003, 33(4): 467-469. (Song Xiuguang, Song Wenyi, Su Gongcan. On pile-soil stress ratio of dry jet mixing pile (DJMP)[J]. Journal of Shandong University (Engineering Science), 2003, 33(4): 467-469. (in Chinese))
[18]赵明华, 何腊平, 张玲. 基于荷载传递法的CFG桩复合地基沉降计算[J]. 岩土力学, 2010, 31(3): 839-844. (Zhao Minghua, He Laping, Zhang Ling. Settlement calculation of CFG pile composite foundation based on load transfer method[J]. Rock and Soil Mechanics, 2010, 31(3): 839-844. (in Chinese))
[19]佐藤悟. 基礎杭の支持力機構[J]. 土木技術(日), 1965, 20(1): 69-80. (KEDZI. Bearing mechanism of piles[J]. Geotechnique, 1965, 20(1): 69-80.)
[20]陆清元, 罗强, 蒋良. 路堤下刚性桩复合地基桩—土应力比计算[J]. 岩土力学, 2018, 39(7): 2473-2482. (Lu Qingyuan, Luo Qiang, Jiang Liangwei. Calculation of stress ratio of rigid pile to composite embankment[J]. Rock and Soil Mechanics, 2018, 39(7): 2473-2482. (in Chinese))
[21]陈盛原, 叶华洋, 张伟锋, 等. 路堤荷载作用下柔性桩复合地基的沉降分析[J]. 岩土力学, 2020, 41(9): 3077-3086. (Chen Shengyuan, Ye Huayang, Zhang Weifeng, et al. Settlement analysis of flexible pile composite foundation under embankment load[J]. Rock and Soil Mechanics, 2020, 41(9): 3077-3086. (in Chinese))
[22]折学森. 软土地基沉降计算[M]. 北京: 人民交通出版社, 1998. (Zhe Xuesen. Calculation of soft ground [M]. Beijing: China Communications Press 1998. (in Chinese))
[23]杨鹏志, 周亦涛, 孙文君, 等. 柔性桩复合地基有效桩长的改进算法[J]. 兰州理工大学学报, 2014, 40(4): 120-123. (Yang Pengzhi, Zhou Yitao, Sun Wenjun, et al. Improved algorithm for effective length of deformable pile in compound foundation[J]. Journal of Lanzhou University of Technology, 2014, 40(4): 120-123. (in Chinese))
[24]姚文娟, 陈尚平, 周华聪. 柔性桩复合地基临界桩长计算方法[J]. 建筑结构, 2008, 38(11): 87-88. (Yao Wenjuan, Chen Shangping, Zhou Huacong. Calculation method for critical pile length of flexible pile composite foundation[J]. Building Structure, 2008, 38(11): 87-88. (in Chinese))
[25]孙琳娜. 复合地基沉降及按沉降控制的优化设计研究[D]. 杭州:浙江大学, 2006. (Sun Lin-na. Study on settlement and optimum design according to settlement of composite foundation[D]. Hangzhou:Zhejiang University, 2006. (in Chinese))
[26]徐超, 叶观宝. 水泥土搅拌桩复合地基的变形特性与承载力[J]. 岩土工程学报, 2005, 27(5): 600-603. (Xu Chao, Ye Guanbao. Deformation and bearing capacity of composite foundation with cement-soil mixed piles[J]. Chinese Journal of Geotechnical Engineering, 2005, 27(5): 600-603. (in Chinese))
[27]张伟丽, 蔡健, 林奕禧, 等. 水泥土搅拌桩复合地基荷载传递机理的试验研究[J]. 土木工程学报, 2010, 43(6): 116-121. (Zhang Weili, Cai Jian, Lin Yixi, et al. Experimental study of the load transfer mechanism of cement-soil pile composite foundation[J]. China Civil Engineering Journal, 2010, 43(6): 116-121. (in Chinese))
[28]张伟丽, 蔡健, 林奕禧, 等. 水泥土搅拌桩复合地基的试验和数值模拟分析[J]. 地质科技情报, 2009, 28(6): 136-139. (Zhang Weili, Cai Jian, Lin Yixi, et al. Experimental and numerical simulation study on cement-soil pile composite foundation[J]. Geological Science and Technology Information, 2009, 28(6): 136-139. (in Chinese))
[29]肖耀廷, 党发宁. 复合地基褥垫层厚度的设计方法研究[J]. 地下空间与工程学报, 2016, 12(5): 1331-1335. (Xiao Yaoting, Dang Faning. Research on the design method of composite foundation cushion thickness[J]. Chinese Journal of Underground Space and Engineering, 2016, 12(5): 1331-1335. (in Chinese))
[30]刘光秀, 黄文, 党发宁, 等. 水泥土搅拌桩处理风积沙地层复合地基静载荷试验数值分析[J]. 水利与建筑工程学报, 2024, 22(4): 42-51. (Liu Guangxiu, Huang Wen, Dang Faning, et al. Numerical analysis of static load test on composite foundation of aeolian sand layer treated with cement-soil mixing pile[J]. Journal of Water Resources and Architectural Engineering, 2024, 22(4): 42-51. (in Chinese))
Outlines

/