三维极限平衡法通用形式的建立及应用

在满足边坡整体力平衡、力矩平衡以及边坡微条柱力平衡的条件下，提出了一个综合各种三维极限平衡法的通用形式，该通用形式包含3个表达式。通过这3个表达式利用已有方法的假定条件就可以得到原方法的表达形式，并将他们解析化，不仅大大降低了传统三维极限平衡法的计算工作量，还使得具体实现各种方法时，编程变得更方便，计算更简便，提高了计算效率。最后，通过经典算例，利用通用形式导出的各种方法的解析形式，分析了滑体宽度、滑面强度参数以及滑面剪切力方向对稳定系数的影响。结果表明，该通用形式是正确有效的。

Constitution and Application of Three-dimensional Limit Equilibrium General Form

On the base of the equilibrium of the whole force equilibrium of the slope, the whole moment equilibrium of the slope and the force equilibrium of the differential column, a general form of the threedimensional limit equilibrium is calculated, and includes three equations. Through these equations and each assumption of the original methods, their analytic forms can be calculated. Thus, not only the computation quantities of the traditional method can be decreased greatly, but also the programming becomes very easy, and the computation efficiency also can be developed. At last, through the classical example and the analytic forms of the original methods, the effect of the sliding body width, the shearing strength parameters and the shearing force direction on the safety factor are analyzed. The result shows that the general form is valid.