强度折减法是计算边坡安全系数的重要方法，其对安全系数的计算依赖于强度折减过程中边坡失稳的判据。位移突变是目前常用的边坡失稳判据之一，目前对边坡位移突变的判定较为主观。基于强度折减法，计算出边坡最大位移随强度折减系数的变化，并计算不同折减系数时边坡最大位移的标准差，提出了一种基于最大位移标准差的强度折减法中边坡安全系数确定方法。采用典型算例验证了提出方法的正确性，并将该方法应用于工程实际。结果表明，该方法可以客观识别强度折减过程中边坡位移突变的发生，有效确定边坡安全系数。对于需要定量对比不同工况下安全系数变化的实际边坡工程，该方法具有一定的实用价值。

The strength reduction method is an essential approach for calculating the slope safety factor, with its computation reliant on the criterion for slope instability during the process of strength reduction. Among the commonly employed criteria for slope instability, displacement mutation stands out; however, its determination remains relatively subjective at present. The maximum slope displacement was considered as a function of the strength reduction factor based on the strength reduction method. The standard deviations of the maximum slope displacements for different strength reduction factors were calculated. Consequently, a method for determining the slope safety factor within the strength reduction method, based on the standard deviations of the maximum slope displacements, was proposed. The method was validated through a typical case study and subsequently applied to a practical engineering project. The results demonstrate that the proposed method can objectively identify the occurrence of slope displacement mutation during the strength reduction process and effectively ascertain the slope safety factor. The proposed method is especially applicable for practical slope engineering projects requiring quantitative comparison of safety factors for different cases.