摘要This study derives the equation for the bearing capacity of shallow circular foundation on the basis of the upper bound theorem of limit analysis method. The equation is derived by considering the work of soil weight and by assuming that the foundation failure mode obeys Prandtl sliding mechanism, which consists of ABC, ADE rigid body, and ACD logarithmic spiral deformable-body. Using the equation, we determine the internal energy dissipation rate, gravity work, energy dissipation rate of overlaying soil, the total power of the force are obtained respectively. The solution for ultimate bearing capacity has been realized by analyzing the external power and internal energy dissipation rate of the soil under unrestricted plastic flow. The results calculated in this study are found to be higher than those reported in previous references. However, the error between the measured value and calculated value is in the range of 20%. The analytical solution deduced in this study can be used as a reference for calculating the bearing capacity of circular shallow foundation.
Abstract：This study derives the equation for the bearing capacity of shallow circular foundation on the basis of the upper bound theorem of limit analysis method. The equation is derived by considering the work of soil weight and by assuming that the foundation failure mode obeys Prandtl sliding mechanism, which consists of ABC, ADE rigid body, and ACD logarithmic spiral deformable-body. Using the equation, we determine the internal energy dissipation rate, gravity work, energy dissipation rate of overlaying soil, the total power of the force are obtained respectively. The solution for ultimate bearing capacity has been realized by analyzing the external power and internal energy dissipation rate of the soil under unrestricted plastic flow. The results calculated in this study are found to be higher than those reported in previous references. However, the error between the measured value and calculated value is in the range of 20%. The analytical solution deduced in this study can be used as a reference for calculating the bearing capacity of circular shallow foundation.
魏进, 周志军. 圆形浅基础极限承载力分析[J]. Journal of Highway and Transportation Research and Development, 2014, 8(2): 18-22.
WEI Jin, ZHOU Zhi-jun. Analysis of Ultimate Bearing Capacity of Shallow Circular Foundation. Journal of Highway and Transportation Research and Development, 2014, 8(2): 18-22.
[1] TERZAGHI K, PECK R B. Soil Mechanics in Engineering Practice[M]. New York:Wiley John, 1948.
[2] MEYERHOF G G. The Ultimate Bearing Capacity of Foundations[J]. Geotechnique, 1951, 2(4):301-332.
[3] VESIC A S. Analysis of Ultimate Loads on Shallow Foundations[J]. Journal of Soil Mechanics and Foundation Division, 1973, 99(1):45-73.
[4] CHEN W F. Limit Analysis and Soil Plasticity[M]. Amsterdam, the Netherlands:Elsevier Scientific Publishing Company, 1975.
[5] CHEN Hui-fa. Limit Analysis and Soil Plasticity[M]. Beijing:China Communications Press, 1975. (in Chinese)
[6] LI Liang, YANG Xiao-li. Analytical Solution of Bearing Capacity of Circular Shallow Foundations Using Upper Bound Theorem of Limit Analysis[J]. Journal of the China Railway Society, 2001, 23(1):94-97. (in Chinese)
[7] ZHANG Guo-xiang, FU Jiang-shan. Upper Bound Solution for Bearing Capacity of Circular Shallow Foundation Based on Limit Analysis[J]. Rock and Soil Mechanics, 2010, 31(12):3849-3854. (in Chinese)
[8] JIANG Yi-ping, XIONG Ju-hua. Analysis of Ultimate Bearing Capacity of Square and Circular Foundations[J]. Rock and Soil Mechanics,2005, 26(12):1991-1995. (in Chinese)
[9] ZHOU Zhong, FU He-lin, LI Liang. Theoretical Solution of Bearing Capacity of Shallow Circular Foundation[J]. Journal of Changsha Railway University, 2002, 23(3):1-4. (in Chinese)
[10] HAN Chang-yu, XIA Xiao-he, WANG Jian-hua. Upper Bound Solutions of Ultimate Bearing Capacity of Curved Footing[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(2):230-236. (in Chinese)
[11] CHEN Chang-fu, ZHOU Zhi-jun. Limit Bearing Capacity of Composite Foundation Reinforced with Geosynthetic and Granular Pile Under Embankment[J]. China Journal of Highway and Transport, 2010, 23(3):1-9. (in Chinese)
[12] WANG Wen-lu, ZHAO Da-jun, WANG Lei. Influence of Lateral Fill Load on Foundation Bearing Capacity of Culvert[J]. China Journal of Highway and Transport, 2010, 23(6):1-6. (in Chinese)
[1]
李宁, 马骉, 李瑞, 司伟. 基于PUMA的单级和多级加载模式下级配碎石性能研究[J]. Journal of Highway and Transportation Research and Development, 2019, 13(2): 1-12.
[2]
许海亮, 任合欢, 何兆才, 何炼. 车路耦合条件下沥青混凝土路面变形特性时域分析[J]. Journal of Highway and Transportation Research and Development, 2019, 13(2): 13-19.
[3]
杜健欢, 艾长发, 黄超, 郭玉金, 蒋运兵. 界面水对沥青复合小梁疲劳性能的影响试验[J]. Journal of Highway and Transportation Research and Development, 2019, 13(1): 1-7.
[4]
姚国强, 言志信, 龙哲, 翟聚云. 基于岩质边坡相似材料的锚固界面剪应力分布规律研究[J]. Journal of Highway and Transportation Research and Development, 2019, 13(1): 8-15.
[5]
刘泽, 何矾, 黄天棋, 蒋梅东. 车辆荷载在挡土墙上引起的附加土压力研究[J]. Journal of Highway and Transportation Research and Development, 2019, 13(1): 16-23.
[6]
邱欣, 徐静娴, 陶钰强, 杨青. 路面结冰条件判别标准及SVM预测分析研究[J]. Journal of Highway and Transportation Research and Development, 2018, 12(4): 1-9.
[7]
高伟, 崔巍, 李秀凤. 半刚性基层表面抗冲刷性能试验与分析[J]. Journal of Highway and Transportation Research and Development, 2018, 12(4): 10-17.
[8]
张向东, 任昆. 煤渣改良土路基的动弹性模量及临界动应力试验研究[J]. Journal of Highway and Transportation Research and Development, 2018, 12(4): 25-32.
[9]
刘栋, 尚小亮, 杨西海. 垃圾焚烧炉渣中可溶盐对水泥稳定材料性能的影响[J]. Journal of Highway and Transportation Research and Development, 2018, 12(4): 18-24.
[10]
李龙海, 杨茹. 多次加铺的复合道面疲劳寿命分析[J]. Journal of Highway and Transportation Research and Development, 2018, 12(3): 7-15.
[11]
蔡旭, 李翔, 吴旷怀, 黄文柯. 基于旋转压实的水泥稳定再生集料设计方法研究[J]. Journal of Highway and Transportation Research and Development, 2018, 12(3): 1-6.
[12]
李金路, 冯子强, 吴佳杰, 魏姗姗, 葛智. 环境及疲劳荷载作用下碳纳米管水泥基复合材料压敏性能研究[J]. Journal of Highway and Transportation Research and Development, 2018, 12(3): 16-21.
[13]
田小革, 韩海峰, 李新伟, 吴栋, 魏东. 半刚性路面中双层半刚性基层的倒装效应[J]. Journal of Highway and Transportation Research and Development, 2018, 12(3): 22-27.
[14]
邢磊, 雷柏龄, 陈忠达, 戴学臻. 彩色沥青路面胶凝材料的制备技术[J]. Journal of Highway and Transportation Research and Development, 2018, 12(2): 1-6.
[15]
方薇, 陈向阳, 杨果林. 带齿格栅加筋挡墙工作机理的数值模拟研究[J]. Journal of Highway and Transportation Research and Development, 2018, 12(2): 7-13.
2014, Vol. 8 
