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基于传统的极限平衡条分法,利用临界滑动场法计算了条形基础的加筋地基极限承载力。假定土体处于极限平衡状态时,土体与筋材间存在均匀的摩擦力,通过建立土体条块极限平衡方程,推导了地基承载力的递推关系式。首先,设定计算土体范围,并划分条块和离散状态点;其次,根据递推公式计算各个状态点的参数,并搜索临界滑面;最后,根据搜索出的滑面计算地基承载力。通过实例比较进一步验证了计算结果的可靠性,并分析了首层筋带埋深、铺设层数和长度对地基承载力和滑面位置的影响。研究结果表明:地基承载力随着筋带埋深的增加先增大后减小;随着层数和长度的增加先逐渐增大,最后趋于稳定;滑面位置的变化规律主要是垂直影响深度和水平影响范围增大或减小。该方法原理简单、易于编程,为条形基础加筋地基承载力的计算提供了一种新思路,是临界滑动场法在地基承载力计算中的推广应用。
Based on the traditional limit equilibrium strip method, the ultimate bearing capacity of strip foundation with reinforced foundation is calculated by using the critical slip field method. It is assumed that there is a uniform friction force between the soil and the tendons when the soil is in the state of limit equilibrium. By relying on the limit equilibrium equation of the soil, the recurrence relation of the bearing capacity of the foundation is deduced. First of all, the range of soil mass is calculated and divided into blocks and discrete state points. Secondly, the parameters of each state point are calculated according to the recursion formula and the critical slip surface is searched. Finally, the bearing capacity of foundation is calculated based on the searched slip surface. The reliability of the calculation results is further verified by examples. The influence of the depth of the first floor rib, the number of laying layers and the length on the bearing capacity of foundation and the sliding surface position are analyzed. The results show that the bearing capacity of foundation first increases and then decreases with the increase of reinforcement depth, and then increases with the increase of the number of layers and length and finally tends to be stable. The variation of slip surface position is mainly vertical The depth and level of influence increase or decrease. The method is simple in principle and easy to program. It provides a new idea for the calculation of the bearing capacity of the foundation with strip foundation, and is a generalized application of the critical sliding method in the calculation of the bearing capacity of the foundation.