极限平衡分析:在边坡三维二维稳定性分析中探讨极限分析的运动学方法。通过分析可能的滑动面，将滑动面应力简化为均匀分布，计算边坡的稳定性系数，计算边坡的稳定系数。另外,运动学方法收益率更低的稳定系数的估算铜/λH。极限平衡方法采用摩尔-库仑表达式来确定滑动面的抗剪强度。
土体在剪切过程中发生的剪切应力是指土的抗剪强度。极限平衡态存在于运动剪切强度表示为剪切强度分数的情况下。当临界状态达到时，失效时刻的抗剪强度被充分调动起来。它通常由莫尔库仑线性关系表示。抗剪强度依赖于有效的正常应力和土的类型，而固定化剪切应力依赖于作用于土体上的外力。安全系数被定义为的比值ƮfƮ在极限平衡分析。安全系数可以用三种方法来定义:力矩平衡、力平衡和极限平衡。第一个定义依赖于从两种方法获得的抗剪强度:有效应力法和总应力法。强度类型取决于土的类型和开挖和加载条件后的时间。在粘土质土的短期条件下，利用总应力强度，在已知压力孔的条件下，利用有效的应力强度进行长期的条件。第三和第二种定义是基于运动平衡和力平衡条件来抵抗和驱动力矩和力分量。这些定义有时会让人感到困惑，但这一刻或力量构成了推动和抵制幻灯片的力量。
Limit equilibrium analysis: The kinematic approach of limit analysis is explored in three-dimensional 2D stability analysis of slopes. The stability of the slope can be calculated by analyzing the possible sliding surface and simplifying the stress on the sliding surface to a uniform distribution, and then calculate the stability coefficient of the slope. Alternatively, the kinematic approach yields the lower estimate of the stability factor cu/λH.
The limit equilibrium methods use the Mohr-Coulomb expression in order to identify the shear strength along the sliding surfaces. Thus, the shear stresses which the soil fails in the shear are referred to the shear strength of soil. The limit equilibrium state exists when the mobilized shear strength is expressed as the fraction of shear strength. The shear strength at the moment of the failure is mobilized fully along with the failure when the critical conditions state is reached. It is expressed usually by the Mohr Coulomb linear relationship. The shear strength relies on the effective normal stress and type of soil and the mobilized shear stress relies on the external forces that act on the soil mass. The factor of safety is defined as the ratio of the Ʈf to Ʈ in the limit equilibrium analysis. The factor of safety can be defined in three ways: moment equilibrium, force equilibrium and limit equilibrium. The first definition relies on the shear strength that can be in obtained from two ways: effective stress approach and total stress approach. The strength type depends on the type of the soil and the time elapsed after the excavation and loading conditions. The total stress strength is utilized for the short term conditions in the clayey soils and effective stress strength is utilized in the long term conditions in types of soils and conditions where the pressure pore is known. The third and second definitions are based on the movement equilibrium and force equilibrium conditions to resist and drive moment and force components. The definitions are sometimes confusing but the moment or force components contribute on driving and resisting slides.