基于滑面正应力修正的浅埋矩形基础地基承载力计算

doi:10.13722/j.cnki.jrme.2014.11.019

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摘要提出一种能够计算浅埋矩形基础地基承载力的三维分析方法。首先，假设滑动面为一组由沿基础长轴方向的具有不同初始半径的螺旋线构成的三维椭球滑面；然后，对基于滑面正应力修正的三维边坡极限平衡方法进行改进，建立基于滑面正应力修正的计算固定三维滑面极限承载力方法；最后，通过改变螺旋线极点位置，构造所有可能破坏的滑动面，试算不同滑面所对应的极限承载力，搜索出的最小值即为基础极限承载力，其对应的滑面即为破坏滑动面。为使该方法能用传统的叠加法公式进行地基承载力计算，给出三维条件下的各地基承载力系数值，并研究基础长宽比和土的内摩擦角对各系数的影响。用该方法和给出的三维地基承载力系数分别对算例进行计算分析，并和其他方法进行比较，结果表明该方法合理可靠，能够方便、快速计算矩形基础地基承载力。

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关键词 ：土力学, 承载力, 极限平衡, 浅埋矩形基础, 滑动面, 正应力

Abstract：A new method was proposed for three-dimensional analysis of the bearing capacity of shallow rectangular footing based on the modification of normal stresses over the slip surface. Firstly，the shape of the slip surface was assumed as an ellipsoid composed of a set of log-spirals with different initial radii in the direction of the longer axis of the footing base. Secondly，a method for calculating the bearing capacity of a fixed three-dimensional slip surface was established based on the modification of normal stresses over the slip surface to improve the limit equilibrium solution of 3D slope stability. Finally，the bearing capacities were obtained for the footing with selected fixed three-dimensional slip surfaces resulted from changing the positions of the pole of log-spirals so that the minimum bearing capacity was determined. The bearing capacity coefficients were then given for calculating the bearing capacity with the method of superposition in the conventional bearing capacity formula. The effects of the angle of internal friction and the length-width ratio of footing were investigated. An example was presented to calculate the bearing capacity and the calculated results were compared with those from other methods. The results demonstrate its accuracy，reasonability and high effectiveness in the three-dimensional bearing capacity analysis of rectangular shallow footing.

Key words： soil mechanics bearing capacity limit equilibrium rectangular shallow footing slip surface normal stress

收稿日期: 2013-12-27

引用本文:

沈银斌1，2，朱大勇2，3，卢坤林2，3. 基于滑面正应力修正的浅埋矩形基础地基承载力计算[J]. 岩石力学与工程学报, 2014, 33(11): 2351-2359.
SHEN Yinbin1，2，ZHU Dayong2，3，LU Kunlin2，3. THREE-DIMENSIONAL BEARING CAPACITY OF RECTANGULAR FOOTING BASED ON MODIFICATION OF NORMAL STRESSES OVER SLIP SURFACE. , 2014, 33(11): 2351-2359.

链接本文:

http://www.rockmech.org/CN/10.13722/j.cnki.jrme.2014.11.019 或 http://www.rockmech.org/CN/Y2014/V33/I11/2351

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