Reliability-based designs procedure of earth retaining walls in geotechnical engineering

Viviescas, Juan Camilo; Osorio, Juan Pablo; Barriga, Julio Eduardo Cañón

doi:10.4067/s0718-28132017000200050

Cited by 12 publications

(5 citation statements)

References 43 publications

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“…The Monte Carlo method is a sequence whose evolution is given by random events [17]. Monte Carlo is a powerful technique that applies to linear and non-linear problems and is the most used simulation method in geotechnical engineering [39]. However, it may require many simulations to provide reliable distribution of the output variable [14].…”

Section: Reliability-based Designs In Geotechnical Engineeringmentioning

confidence: 99%

“…The reliability analysis focuses the probability of failure, as it is a more consistent and complete measure of safety because it is invariant to all mechanically equivalent definitions and incorporates additional information on uncertainty [26]. Reliability-based designs require a series of steps to define the different geotechnical properties and field characteristics that affect the probability of failure of geotechnical structures [39]. Reliability-based designs do not guarantee that the structure is immune to possible failures, but it does provide better decision-making tools [16]…”

Section: Reliability-based Designs In Geotechnical Engineeringmentioning

confidence: 99%

“…However, a geotechnical design with a high FS can have a high probability of failure (p f ) similar to a designed system with a low FS [21]. Therefore, the use of traditional methods in conjunction with probabilistic analyses has increased considerably in recent years [39]. The inclusion of probabilistic concepts can provide a better and more viable design method [3], thus reducing the uncertainties between the designs and the geo-structures' real behavior.…”

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confidence: 99%

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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

Viviescas

Osorio

2021

Geo-Engineering

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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.

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Section: Reliability-based Designs In Geotechnical Engineeringmentioning

confidence: 99%

Section: Reliability-based Designs In Geotechnical Engineeringmentioning

confidence: 99%

mentioning

confidence: 99%

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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

Viviescas

Osorio

2021

Geo-Engineering

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“…Throughout the entire analysis, the values of ν and E were held spatially constant at ν = 0.3 and E = 10 5 kN/m 2 , while various standard deviation and scale of fluctuation values of soil strength are examined. It is noted that the soil considered is cohesionless, whilst both φ and γ are assumed to be log-normally distributed [15,[18][19][20][21]. K o , for establishing the initial state of stresses, is also treated as random field as being a pure function of φ (according to Jaky [22] K o = 1 − sinφ ).…”

Section: Parametric Analysis For Determining the Optimal Sampling Strmentioning

confidence: 99%

The Effect of Targeted Field Investigation on the Reliability of Earth-Retaining Structures in Passive State: A Random Field Approach

2020

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In one of their recent works, the authors examined parametrically the effect of targeted field investigation on reducing statistical uncertainty in active state analysis of earth retaining structures based on 2165 different cases for each of the sliding and overturning modes of failure. This analysis indicates that the optimal sampling location is always adjacent to the wall, while a sampling domain length equal to the whole height of the wall is suggested to be considered. The present paper deals with the “symmetrical” problem of soil under the passive state of stresses. Working in a similar manner, 1879 passive state cases have been considered (also for each of the sliding and overturning modes of failure) in a Random Finite Element Method (RFEM) analysis framework, where soil properties are modeled as random fields while measurements are modeled by sampling from different points of the field domain. The “actual” resultant earth passive pressure force (or moment) exerted by the random soil on the retaining wall is compared against the respective “predicted” one calculated using the soil property values sampled from the random field. Failure is considered to have occurred when the derived “actual” force is smaller than the respective “predicted” force. This analysis clearly indicates that the passive state constitutes a different problem, where the optimal sampling distance from the wall is half the wall height. Regarding the depth of exploration, it was again found to be the entire wall height. In addition, the present analysis shows that, the benefit from a targeted field investigation is much greater than the benefit gained using statistical methods for obtaining cautious estimates for the various soil properties; the latter refers to the “characteristic value”, a concept commonly used in the Limit State analysis framework of Eurocode 7.

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“…Reliability-based designs require the definition of probability density functions of geotechnical properties and knowledge of soil spatial variability [16].…”

Section: Introductionmentioning

confidence: 99%

Reliability Analysis of Bored-pile Wall Stability Considering Parameter Uncertainties

Mattos

Marin

2020

TecnoL.

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In geotechnical engineering, bored-pile wall stability is evaluated using deterministic design methods based on safety factors to establish a margin against failure. In recent years, reliability-based design methods have been adopted to include uncertainty in the assessment of bored-pile wall stability as well as in the calculation of the feasible embedment depth of the walls. In this study, an expanded reliability-based design approach, along with finite element analysis, was applied to conduct parametric analyses of bored-pile wall stability. In serviceability limit state design framework, the results indicate that cohesion and groundwater level are factors that significantly affect bored-pile wall stability. Moreover, high variability in the cohesion range causes great uncertainty to determine the embedment depth of bored-pile wall. The feasible embedment depth can reach 4 times the free height considering the maximum coefficient of variation (50 %) of the cohesion. In turn, when the groundwater level is located at the retained ground surface, the horizontal displacement of the upper end of the wall reaches 15.2 mm, i.e., 0.0038 times the free height of the wall, for which the soil mobilizes active earth pressures. It was also found that the resolution of probabilistic results is highly influenced by the number of iterations in Monte Carlo simulations.

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Reliability-based designs procedure of earth retaining walls in geotechnical engineering

Abstract: Procesos para los diseños por confiabilidad de muros de contención en ingeniería geotécnica

Cited by 12 publications

References 43 publications

Probabilistic analysis of the active earth pressure on earth retaining walls for c-ϕ soils according to the Mazindrani and Ganjali method

Probabilistic analysis of the active earth pressure on earth retaining walls for c-ϕ soils according to the Mazindrani and Ganjali method

The Effect of Targeted Field Investigation on the Reliability of Earth-Retaining Structures in Passive State: A Random Field Approach

Reliability Analysis of Bored-pile Wall Stability Considering Parameter Uncertainties

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