极限平衡法边坡稳定性快速分析和土压力计算的Z理论

【作者】 周小波；

【导师】 向俊； 马凡祥；

【作者基本信息】 中南大学 ， 建筑与土木工程， 2008， 硕士

【摘要】 极限平衡法是边坡稳定性分析中最早出现的方法,也是发展最完善的方法。常用的极限平衡法主要有:Fellenius法、Bishop法、Janbu法、Morgenstern-Price法、Spencer、Sarma法、不平衡传递系数法等。各种条分法的最大不同之处在于对相邻土条之间的内力所做假定不同,这些假定的物理意义不同,所能满足的平衡条件也不一样。本文通过深入研究,对以上各种条分法的优缺点进行了全面的探讨,并和边坡稳定性分析的无条分法做了对比,针对工程实践中边坡稳定性分析存在的假设与实际情况偏离,计算不够直观,程序复杂的问题,提出了一种用极限平衡法进行边坡稳定性分析的快速方法,该方法主要基于以下三点假设:1、滑面满足Mohr—Coulomb准则;2、滑面简化成由直线和圆曲线组成;3、在垂直于滑面的截面上,只考虑正应力,不考虑剪应力。在上述三点基本假设前提下,本文提供的快速方法只需输入边界条件和滑面抗剪强度参数就可以快速计算出边坡稳定安全系数。提供的算例表明,快速方法与其他计算方法的计算结果是相当吻合的。另外本文对传统土压力理论(包括库仑理论和朗金理论)进行分析之后指出了该理论自相矛盾之处,结合以上关于边坡稳定性分析的相关知识,提出了一般情况下计算土压力的方法,特别针对均质土体,还推导了土体压力的一般计算公式,可供参考。更多还原

【Abstract】 Limit balance method is the slope stability analysis of the earliest methods, but also the most perfect way. Limit balance method commonly used mainly: Fellenius method, Bishop method, Janbu method, Morgenstern-Price method, Spencer method, Sarma method, Not balanced transmittance method and so on. The most difference of the methods are that supposes of force of neighboring earth strip are different, the physical meaning of these assumptions is different, and the equilibrium conditions which is meet are different. The paper has made deep research to the disadvantage and advantage of the methods, and compared the slope stability analysis of non-strip distributes with the strip distributes. At the same time, according to the computation is not obvious and the procedure is complex and Deviated from the actual situation. A rapid balance method used to limit slope stability analysis, the method is based on the following three assumptions:1、The sliding face meets the criterion of Mohr—Coulonb;2、The sliding face is composited by straight line and circular curve;3、In the section which is vertical in the sliding face, the normal stress is put forward and shear stress is not considered.In the above three basic assumptions, this paper provides the rapid approach simply enter boundary conditions and slippery surface shear strength parameters can quickly calculate the slope stability factor of safety. The examples show that the calculation results between quick calculation methods and other methods of calculation results are quite identical.In addition, the paper analysis the traditional soil pressure theory (including Coulomb theory and the theory of Lang) and points out the self-contradiction of the theory, combined the above relevant knowledge of the slope stability analysis, raises a method of calculation for soil pressure under normal circumstances, in particularly, the paper deduced the general formulas about heterogeneity soil, for reference.更多还原