中国民航大学学报 ›› 2022, Vol. 40 ›› Issue (2): 52-57.

• 工程技术 • 上一篇    下一篇

太沙基地基极限承载力系数的进一步讨论

程国勇  ,王兆源 ,刘大海   

  1. (1. 中国民航大学交通科学与工程学院,天津 300300; 2. 深圳市地质局,广东 深圳 518023)
  • 收稿日期:2021-04-10 修回日期:2021-04-10 接受日期:2020-12-23 出版日期:2022-06-05 发布日期:2022-06-05
  • 作者简介:程国勇(1971—),男,河北衡水人,教授,博士,研究方向为机场场道工程理论.

Further discussion on coefficients of Terzaghi's ultimate bearing capacity 

CHENG Guoyong , WANG Zhaoyuan , LIU Dahai    

  1. (1. College of Transportation Science and Engineering, CAUC, Tianjin 300300, China; 2. Shenzhen Geological Bureau, Shenzhen 518023, Guangdong, China)
  • Received:2021-04-10 Revised:2021-04-10 Accepted:2020-12-23 Online:2022-06-05 Published:2022-06-05

摘要: 地基极限承载力是土力学的经典问题,具有广泛影响力并得到普遍应用。 当前普遍采用的太沙基地基极限 承载力公式并未提供地基承载力系数 Nγ 的解析解,且前人提出的经验公式差别较大,依据不明,难以统 一。 根据极限平衡原理求出太沙基地基承载力系数 Nγ、Nq 和 Nc 在一般情况下的解析解,验证了所求 Nq 和 Nc 的正确性,扩大了 Prandtl-Reissner 公式对于 Nq 和 Nc 关系结论的适用范围,并进一步验证了所求 Nγ 在 理论上的正确性。 该研究成果可为地基极限承载力的基础理论学习和研究提供有益参考。

关键词: 地基极限承载力, 太沙基公式, 极限平衡原理, 承载力系数

Abstract: The ultimate foundation bearing capacity is a classic problem of soil mechanics, with a wide range of influ- ence and a extensive application. The currently adopted Terzaghi’s ultimate bearing capacity formula fails to provide an analytical solution for the parameter Nγ. The empirical formulas proposed by the predecessors are quite different, with unclear basis, it is difficult to get unified. Thus the author obtains the analytical solution of Terzaghi foundation bearing capacity coefficients of Nγ, Nq and Nc with the principle of limit equilibrium, verifies the correctness of the coefficients Nq and Nc along with that of the parameter Nγ in theory and expands the scope of application of Prandtl-Reissner’s formula on the relationship between Nq and Nc. The research result provides useful references for the study and research on the basic theory of bearing capacity.

Key words: ultimate foundation bearing capacity, Terzaghi’s formulas, principle of limit equilibrium, coefficients of bearing capacity

中图分类号: