›› 2016, Vol. 37 ›› Issue (S1): 209-214.doi: 10.16285/j.rsm.2016.S1.027

• 基础理论与实验研究 • 上一篇    下一篇

粗糙条形基础极限承载力系数Nγ的计算

谢新宇1, 2, 3,韩冬冬1, 2, 3,黄 利1, 2, 3,王忠瑾2,刘开富4   

  1. 1. 浙江大学 滨海和城市岩土工程研究中心,浙江 杭州 310058;2. 浙江大学宁波理工学院 土木建筑工程学院,浙江 宁波 315100; 3. 浙江大学 软弱土与环境土工教育部重点实验室,浙江 杭州 310058;4. 浙江理工大学 建工学院,浙江 杭州 310018
  • 收稿日期:2015-08-18 出版日期:2016-06-16 发布日期:2018-06-09
  • 作者简介:谢新宇,男,1969年生,博士,教授,主要从事软黏土土力学及地基处理方面的教学和科研工作。
  • 基金资助:
    浙江省自然科学基金(No. LY13E090010)。

Calculation of ultimate bearing capacity factor Nγ for rough strip footings

XIE Xin-yu1, 2, 3, HAN Dong-dong1, 2, 3, HUANG Li1, 2, 3 , WANG Zhong-jin2, LIU Kai-fu4   

  1. 1. Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou, Zhejiang 310058, China; 2. School of Civil Engineering & Architecture, Ningbo Institute of Technology, Zhejiang University, Ningbo, Zhejiang 315100, China; 3. MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Zhejiang University, Hangzhou, Zhejiang 310058, China; 4. School of Civil Engineering and Architecture, Zhejiang Sci-Tech University, Hangzhou, Zhejiang 310018, China
  • Received:2015-08-18 Online:2016-06-16 Published:2018-06-09
  • Supported by:
    This work was supported by the Zhejiang Provincial Natural Science Foundation of China (LY13E090010).

摘要: 假定土体为服从Mohr-Coulomb屈服准则的理想刚塑性体,利用滑移线理论求解粗糙条形基础极限承载力。采用有限差分方法并结合边界条件对承载力进行数值计算,进而得到非叠加假定下地基承载力系数Nγ。计算公式表明,Nγ不仅与土的内摩擦角φ有关,还与无量纲系数F有关,当φ和F为定值时,Nγ即为定值。将Nγ的数值与现有学者的解答进行了对比发现,学者采用的不同假定是导致结果与精确解产生误差的主要原因;计算了不同φ和F取值对应的Nγ,并与朱大勇等的计算结果进行了对比分析。最后,根据数值计算结果提出了Nγ的两个拟合公式,分析了拟合公式与数值解之间的误差。计算结果表明,采用拟合公式的计算结果与精确解接近,具有较好的应用价值。

关键词: 条形基础, 极限承载力, 滑移线理论, 有限差分法

Abstract: The soil under foundation is assumed to be a rigid plastic medium and obey Mohr–Coulomb failure criterion; slip-line theory has been used to determine the bearing capacity of rough strip footings. The bearing capacity of footings is calculated with the finite difference method for given boundary conditions. The value of bearing capacity factor Nγ is consequently obtained without superposition approximation. The formula shows that Nγ is not only related to internal friction angle of soil φ but also to the dimensionless ratio F. The Nγ is a constant with the determined φ and F. The calculated Nγ is compared with other researchers’ results. It’s found that different assumptions made by other researchers are chief factors that lead to errors. The calculations of Nγ with different values of F and φ are presented and compared with results. Finally, two forms of suggested expressions to approximate Nγ are proposed according to numerical calculations. The errors between approximated values and numerical results are clarified. The approximated results are close to the numerical ones so as to prove to be practical to evaluate the ultimate bearing capacity.

Key words: strip footing, ultimate bearing capacity, slip-line theory, finite difference method

中图分类号: 

  • TU 443
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