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Probabilistic analysis of the active earth pressure on earth retaining walls for c-ϕ soils according to the Mazindrani and Ganjali method
International Journal of Geo-Engineering Pub Date : 2021-07-12 , DOI: 10.1186/s40703-021-00148-1
Julian Osorio 1 , Juan Camilo Viviescas 1, 2 , Juan Pablo Osorio 1, 3
Affiliation  

The determination of the earth pressure coefficients (K) in geotechnical engineering is one of the most critical procedures in designing earth retaining walls. However, most earth pressure theories are made for either clay or sands, where the c-ϕ soils are the least analysed. In this paper, an analysis of the earth pressure for drained mixed soils based in Mazindrani and Ganjali (J Geotech Geoenviron Eng 123:110–112, 1997) theory was carried out. Earth pressure coefficients are generally used in a deterministic way and can represent designs under an inadmissible risk. Therefore, Reliability-based design arises as an essential tool to deal with soil variability as one of the main aspects of the geotechnical uncertainties. The influence of the soil variability in the active earth pressure for a c-ϕ soil was performed through probabilistic analysis concerning the Ka coefficient of variation (Cv) of both shear strength parameters. The sensitivity analysis shows a Cv in which the cohesion begins to have a more significant correlation with Ka than the friction angle. The results show an increase of the statistical Ka concerning the deterministic value as the soil variability and the soil slope (β) increase. Although the statistical value does not increase significantly, a statistical analysis on gravity walls and sheet pile walls in c-ϕ soils shows a significant probability of failure (pf) increase. The pf obtained through the c-ϕ variability can be considered inadmissible even if the required FS are met.



中文翻译:

根据 Mazindrani 和 Ganjali 方法对 c-ϕ 土挡土墙主动土压力进行概率分析

岩土工程中土压力系数(K)的确定是设计挡土墙最关键的程序之一。然而,大多数土压力理论是针对粘土或沙子制定的,其中 c-ϕ 土壤的分析最少。在本文中,基于 Mazindrani 和 Ganjali (J Geotech Geoenviron Eng 123:110–112, 1997) 理论对排水混合土壤的土压力进行了分析。土压力系数通常以一种确定性的方式使用,可以代表在不可接受的风险下的设计。因此,基于可靠性的设计作为处理作为岩土工程不确定性主要方面之一的土壤变异性的重要工具而出现。一个变异系数两个抗剪强度参数的(CV)。敏感性分析显示了一个 Cv,其中内聚力开始与 K a 的相关性比摩擦角更显着。结果表明,随着土壤变异性和土壤坡度 (β) 的增加,关于确定性值的统计 K a增加。尽管统计值没有显着增加,但对 c-ϕ 土壤中重力墙和板桩墙的统计分析显示,失效概率 (p f )显着增加。即使满足所需的 FS,通过 c-ϕ 可变性获得的 p f也可以被认为是不可接受的。

更新日期:2021-07-12
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