Determining the safety factor by limit equilibrium methods is based on different assumed slip surfaces and equilibrium equations for forces and moments to be satisfied. The safety factor can be predicted using empirical correlations instead of going through lengthy calculations. In this paper, empirical equations between the factor of safety (FS), unit weight (γ), cohesion (c), internal friction angle (φ), slope angle (α), and height of the slope (H) have been proposed for Spencer’s, Morgenstern-Price, Janbu’s simplified, Bishop’s simplified, and Lowe-Karafiath methods. Data of 50 slopes having homogeneous soil strata with non-identical shearing strength parameters, containing different geometries and the water table below the base of the slope, have been selected to determine FS using Slope-W and for the development of correlations using SPSS software. Unit weight, cohesion, friction angle, slope angle, and height of the slope vary from 11.5 to 21 (kN/m³), 0 to 137 (kPa), 0 to 39 (°), 11 to 78 (°), and 3.5 to 22 (m), respectively. Multiple regression analyses were performed on Slope-W outcomes, and equations for the prediction of FS were formulated. Validation of the proposed FS equations was done both internally and externally as well. The validation graphs are drawn between Slope-W FS versus developed equations for FS of each method. The correlations are helpful for the calculation of FS to have a quick prediction of failure of a slope, and ultimately preventive measures can be taken. The regression constant (R²) values for Spencer’s, Morgenstern-Price, Janbu’s simplified, Bishop’s simplified, and Lowe-Karafiath methods are 0.940, 0.940, 0.922, 0.932, and 0.935, respectively.

通过极限平衡方法确定安全系数是基于不同的假定滑移面以及要满足的力和力矩的平衡方程。可以使用经验相关性而不是通过冗长的计算来预测安全系数。在本文中，安全系数（FS）、单位重量（γ）、内聚力（c）、内摩擦角（φ）、倾斜角（α）之间的经验方程) 和坡度 (H) 的高度已被提议用于 Spencer 方法、Morgenstern-Price、Janbu 简化方法、Bishop 简化方法和 Lowe-Karafiath 方法。已选择 50 个具有均质土层且剪切强度参数不同、包含不同几何形状和斜坡底部下方的地下水位的斜坡的数据，以使用 Slope-W 确定 FS，并使用 SPSS 软件开发相关性。单位重量、内聚力、摩擦角、坡度角和坡度从 11.5 到 21 (kN/m ³)、0 至 137 (kPa)、0 至 39 (°)、11 至 78 (°) 和 3.5 至 22 (m)。对 Slope-W 结果进行多元回归分析，并制定了预测 FS 的方程。所提出的 FS 方程的验证也在内部和外部进行。验证图是在 Slope-W FS 与每种方法的 FS 开发方程之间绘制的。相关性有助于FS的计算，快速预测边坡的破坏，最终采取预防措施。Spencer 方法、Morgenstern-Price、Janbu 简化方法、Bishop 简化方法和 Lowe-Karafiath 方法的回归常数 ( R ² ) 值分别为 0.940、0.940、0.922、0.932 和 0.935。