A Practical Method for Determining Bearing Capacity Coefficient of Cohesive Soil Strip Foundation by Numerical Limit Analysis
ZHENG Yingren1,2, YANG Yingming2, LIU Yuanxue1,*, ABI Erdi2, TANG Deying2
1 Department of Service Facilities, The Engineering University of the Joint Logistic Support Force, Chongqing 401311, China 2 College of River and Ocean, Chongqing Jiaotong University, Chongqing 400074, China
Abstract: Traditional limit analysis methods for calculating the ultimate bearing capacity of foundations under strip loads rely solely on empirical formulas, making it difficult to obtain precise solutions for ultimate bearing capacity of a foundation with heavy soil, especially for cohesive soil foundations, where the calculation error in bearing capacity coefficients is relatively large. In order to accurately calculate the ultimate bearing capacity of cohesive soil strip foundations, a calculation and analysis model for the bearing capacity coefficients of cohesive soil foundations with a foundation width B ranging from 3.2 to 6 meters was established. The bearing capacity coefficient Nγ of cohesive soil was calculated using the load increment method. The results show that the bearing capacity coefficient Nγ calculated based on the load increment method has an error of 0.95% compared to the results obtained using PLAXIS software with the limit strain method, indicating a relatively reliable calculation. A comparative analysis with the results for foundation width B ranging from 1 to 3 meters reveals that the failure surface is distinct in the calculation results for B=3.2—6.0 m, whereas it is not distinct for B=1—3 m. When B=3.2—6 m, the calculation errors for the bearing capacity pu2, pu using traditional empirical formulas are significantly larger than for B=1—3 m, indicating that traditional empirical formulas cannot accurately determine the bearing capacity coefficient Nγ for B=3.2—6 m. Finally, based on the calculation results, a graphical representation of the bearing capacity coefficient Nγ of cohesive soil strip foundations in relation to foundation width B and friction angle φ was provided, offering parametric guidance for the calculation of bearing capacity in cohesive soil foundations.
1 Karl Terzaghi. Theoretical soil mechanics, Wiley, New York, 1943, pp. 265. 2 Yang F, Ci X H, Gao Y K, et al. Chinese Journal of Rock Mechanics and Engineering, 2023, 42(4), 1031(in Chinese). 杨峰, 慈新航, 高益康, 等. 岩石力学与工程学报, 2023, 42(4), 1031. 3 Ministry of Housing and Urban-Rural Development of the People’s Republic of China. Code for investigation of geotechnical engineering: GB 50021-2001, China Architecture & Building Press, China, 2009, pp. 45 (in Chinese). 中华人民共和国建设部. 岩土工程勘察规范: GB 50021-2001, 中国建筑工业出版社, 2009, pp. 45. 4 Minstry of Transport of the People’s Republic of China. Code for design of ground base and foundation of highway bridges and culverts: JTG D63-2007. China Communication Press, China, 2007, pp. 34(in Chinese). 中华人民共和国交通运输部. 公路桥涵地基与基础设计规范: JTG D63-2007, 人民交通出版社, 2007, pp. 34. 5 Zienkiewicz O C, Humpheson C, Lewis R W. Geotechnique, 1975, 25(4), 671. 6 Zhao S Y, Zheng Y R, Shi W M, et al. Chinese Journal of Geotechnical Engineering, 2002, 24(3), 343(in Chinese). 赵尚毅, 郑颖人, 时卫民, 等. 岩土工程学报, 2002, 24(3), 343. 7 Zheng Y R, Kong L, Abi E D. Strength theory and numerical limit analysi, Science Press, China, 2020, pp. 44 (in Chinese). 郑颖人, 孔 亮, 阿比尔的. 强度理论与数值极限分析, 科学出版社, 2020, pp. 44. 8 Abi E D, Feng X T, Zheng Y R, et al. Chinese Journal of Rock Mechanics and Engineering, 2015, 34(8), 1552(in Chinese). 阿比尔的, 冯夏庭, 郑颖人, 等. 岩石力学与工程学报, 2015, 34(8), 1552. 9 Yang J Q, Sun X, Cui X D. Chinese Journal of Rock Mechanics and Engineering, 2021, 40(9), 1923(in Chinese). 杨继强, 孙昕, 崔向东. 岩石力学与工程学报, 2021, 40(9), 1923. 10 Chen Y L, Wang S Y, Li H, et al. Materials Reports, 2024, 38(24), 171(in Chinese). 陈宇良, 王双翼, 李洪, 等. 材料导报, 2024, 38(24), 171. 11 Ding X Xiao X C, Wu D, et al. Materials Reports, 2021, 35(18), 18096(in Chinese). 丁鑫, 肖晓春, 吴迪, 等. 材料导报, 2021, 35(18), 18096. 12 Yang H H, Yang W, Liu H L, et al. Materials Reports, 2023, 37(13), 137(in Chinese). 杨海华, 杨武, 刘汉龙, 等. 材料导报, 2023, 37(13), 137. 13 Feng S, Zheng Y R, Gao H. Rock and Soil Mechanics, 2024, 45(10), 2919(in Chinese). 冯嵩, 郑颖人, 高红. 岩土力学, 2024, 45(10), 2919. 14 Li A Q, Wang T C. Principles of concrete structure design (6th edition), China Architecture and Building Press, China, 2016, pp. 16(in Chinese). 李爱群, 王铁成. 混凝土结构设计原理(第六版), 中国建筑工业出版社, 2016, pp. 16. 15 Lin C Y, Wang Q R, Yang L Y, et al. Materials Reports, 2022, 36(19), 103(in Chinese). 林长宇, 王启睿, 杨立云, 等. 材料导报, 2022, 36(19), 103. 16 Vesic A S. Journal of the Soil Mechanics and Foundations Division, 1973, 99(1), 45. 17 Chen W F. Limit analysis and soil plasticity, Elsevier, Amsterdam, 1975, pp. 30.
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2025, Vol. 39 
