A Generalized Limit Equilibrium-Based Platform Incorporating Simplified Bishop, Janbu and Morgenstern–Price Methods for Soil Slope Stability Problems

IF 1.5 4区 工程技术 Q3 CONSTRUCTION & BUILDING TECHNOLOGY
Aman Alok, Avijit Burman, Pijush Samui, Mosbeh R. Kaloop, Mohamed Eldessouki
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Abstract

Limit equilibrium (LE) method is the most widely used method for slope stability analysis. Different methods based on the LE technique for the analysis of the stability of the slope have been developed. Some are based on satisfying the force equilibrium condition of the failing mass (Janbu’s method), while some focus on satisfying the moment equilibrium condition (Bishop’s method). Among these methods, the most accurate result is provided by the Morgenstern–Price method as it not only satisfies both moments as well as a force equilibrium condition but also considers the interslice shear forces (Vi) and interslice normal forces (Ei), which are neglected by most of the LE methods to avoid the condition of indeterminacy. To accommodate these forces, Morgenstern–Price (MP) gave a relation between the Vi and Ei which depends upon a scaling multiplier (λ). Thus, it becomes necessary to evaluate λ value along with the factor of safety (FS). There is barely any work discussing the detailed methodology of evaluation of λ along with FS. Method for obtaining λ along with FS have been developed and elaborated in details here. While calculating FS (MP method), evaluation of Ei is a must which is dependent upon the values of normal force at the base of each slice (Ni) and FS, which itself is dependent upon the value of Ei, making it a loop of interdependent variables. To avoid this interdependency of above stated variables, a separate formulation of Ei is given which reduces the calculations (run-time) involved. A VBA code-based platform has also been developed incorporating the generalized LE method, including Bishop’s, Janbu’s, and Morgenstern–Price methods which are represented in the form of flowcharts in this work.
基于广义极限平衡的平台,包含简化的毕夏普法、扬布法和摩根斯滕-普莱斯法,用于解决土坡稳定性问题
极限平衡法(LE)是斜坡稳定性分析中应用最广泛的方法。基于极限平衡法的边坡稳定性分析方法多种多样。有些方法基于满足失效质量的力平衡条件(Janbu 法),而有些方法则侧重于满足力矩平衡条件(Bishop 法)。在这些方法中,Morgenstern-Price 方法提供的结果最为精确,因为它不仅满足力矩和力平衡条件,还考虑了片间剪力 (Vi) 和片间法向力 (Ei)。为了适应这些力,摩根斯特恩-普莱斯(MP)给出了 Vi 和 Ei 之间的关系,该关系取决于比例乘数 (λ)。因此,有必要对 λ 值和安全系数 (FS) 进行评估。目前几乎没有任何研究在讨论安全系数的同时评估 λ 的详细方法。在此,我们开发并详细阐述了获取 λ 和 FS 的方法。在计算 FS(MP 方法)时,必须对 Ei 进行评估,而 Ei 取决于每个切片底部的法向力(Ni)值和 FS 值,FS 本身又取决于 Ei 值,这就形成了一个相互依赖的变量循环。为了避免上述变量之间的相互依赖关系,我们对 Ei 进行了单独计算,从而减少了计算量(运行时间)。此外,还开发了一个基于 VBA 代码的平台,其中包含广义的 LE 方法,包括 Bishop 方法、Janbu 方法和 Morgenstern-Price 方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Advances in Civil Engineering
Advances in Civil Engineering Engineering-Civil and Structural Engineering
CiteScore
4.00
自引率
5.60%
发文量
612
审稿时长
15 weeks
期刊介绍: Advances in Civil Engineering publishes papers in all areas of civil engineering. The journal welcomes submissions across a range of disciplines, and publishes both theoretical and practical studies. Contributions from academia and from industry are equally encouraged. Subject areas include (but are by no means limited to): -Structural mechanics and engineering- Structural design and construction management- Structural analysis and computational mechanics- Construction technology and implementation- Construction materials design and engineering- Highway and transport engineering- Bridge and tunnel engineering- Municipal and urban engineering- Coastal, harbour and offshore engineering-- Geotechnical and earthquake engineering Engineering for water, waste, energy, and environmental applications- Hydraulic engineering and fluid mechanics- Surveying, monitoring, and control systems in construction- Health and safety in a civil engineering setting. Advances in Civil Engineering also publishes focused review articles that examine the state of the art, identify emerging trends, and suggest future directions for developing fields.
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