The cohesional strength component appears explicitly in the formula, while the geometrical parameters, the friction angle and the safety factor are included in only two factors, kt and k2. Dans les deux cas, la formule de dimensionnement permet aussi la réalisation d'une vaste analyse paramétrique pour déterminer la sensibilité de la construction à la variation des paramètres individuels. Die Bemessungsformel dient in beiden Fällen auch zur Durchführung einer umfangreichen Parameteranalyse um die Empfindlichkeit der Konstruktion auf die Variation der einzelnen Parameter zu ermitteln. Hoek, E. and Bray, J. Fig. Sharma, S., Raghuvanshi, T.K. Department of Earth Sciences, University of Roorkee, 247 667, Roorkee, India, S. Sharma, T. K. Raghuvanshi & R. Anbalagan, You can also search for this author in Landslide developed in rock mass usually has irregular shear plane. Fig. The application of the method is illustrated in several practical examples of the design of rock slopes. Anhand einiger Beispiele wird die Anwendung auf praktische Fälle des Felsbaues illustriert. Plane failure is a simple mode of failure in rock s lopes, however due to com plexity in geometry, variability in discontinuity characteristics, uneven distribution of water forces within the slope, Kinematic Analysis – Planar Rock Slope Failure To consider the kinematic admissibility of plane instability, five necessary but simple geometrical criteria must be met: (i) The plane on which sliding occurs must strike near parallel to the slope face (within approx. ... • Analysis of this type of failure is very complex and rarely done. 16th U.S. The quantitative determination of the stability of slopes is necessary in a number of engineering activities, such as: (a) the design of earth dams and embankments, (b) the analysis of stability of natural slopes, (c) analysis of the stability of excavated slopes, (d) analysis of deepseated failure of foundations and retaining walls. (a) Plane, (b) wedge, (c) circular and (d) toppling -sliding. 1. failure, buckling failure and circular failure, are often observed. Learn more about Institutional subscriptions. Geotechnical & Geological Engineering In this type of failure, the failure plane is predetermined. Hoek and Bray (1981) gave an analytical approach for plane failure analysis for rock slopes that is limited to those slopes in which the upper slope surface is horizontal and the tension crack is vertical. American Society of Civil Engineers. In: The 89th International Symposium on Rock Slope Stability in Open Pit Mining and Civil Engineering. These methods are developed on the assumption that the plane of failure is circular arc, apart from the Culmann method that assumes a plane surface of failure through the toe of the slope. You do not currently have access to this content. This investigation may be carried out quickly, without time consuming calculations, even at the site, if a programmable pocket electronic calculator is available. Fig. 2. 5.1Example 1 – plane failure of slope with daylighting discontinuities The first example involves a set of discontinuities spaced 10m apart, which dip out of the slope at 35° (see Figures 2a to 2c). Symposium on Rock Mechanics. 2.6 Mechanism of rock slope failure under self weight, water forces, surcharge, horizontal seismic force, and stabilizing force. volume 13, pages105–111(1995)Cite this article. Plane failure analysis of rock slopes: A reliability approach. R. Anbalagan. Stability of Slopes Introduction. Recently, the factor of safety of rock slopes against the wedge failure … Limit analysis of seismic slope stability based on tension-shear failure mechanism. The rock mass which is subject to potential sliding failure is assumed to be a rigid body and the stability analysis is carried out using the method of limit equilibrium analysis. Kinematic Analysis: Kinematic analysis is a method used to analyze the potential for the various modes of rock slope failures (plane, wedge, toppling failures), that occur due to … The primary objective of slope stability analysis is to identify potential failure mechanisms and endangered areas. Dans le cas du problème plan, on a mis au point une formule fondamentale pour le dimensionnement des ancrages qui doivent retenir une masse rocheuse susceptible de glisser. © 2021 Springer Nature Switzerland AG. 9, No. Die Aufdeckung einer formalen Analogie zwischen dem Abgleiten auf einer Ebene und dem Abgleiten eines Felskeiles auf zwei Ebenen erlaubt es, die einfache Grundformel des ebenen Problems direkt für die Lösung des verwickelten räumlichen Problems anzuwenden. The first failure occurred in a 20 m high granite slope that was stabilized by removing the top 6 m and installing a number of tensioned rock anchors in the toe. In dieser Arbeit ist ein vollständiges Programm für das weitverbreitete Modell "Hewlett-Packard HP-65" angegeben. Kovari, K., and P. Fritz. Kinematic Analysis Kinematic Analysis –– Planar Rock Slope FailurePlanar Rock Slope Failure To consider the kinematic admissibility of plane instability To consider the kinematic admissibility of plane instability, five necessary but simple geometrical criteria must be met: (i) The plane … Modes of failure in rock slopes (after Hoek and Bray [1]). Quelques exemples illustrent l'application à des cas concrets. Der Einfluss der Kohäsion kommt dabei explizit zum Ausdruck, die Einflüsse der Geometrie, des Reibungswinkels und des Sicherheitsfaktors treten in zwei Faktoren zusammengefasst in Erscheinung. and in the three dimensional case somewhat complicated. Plane failure in rock slopes is relatively a simple mode of failure, however it may involve complex failure mechanism owing to its complex geometry (Yoon et al., 2002), heterogeneity in geology, non-planer potential failure plane, variability in shear-strength along the potential failure plane (Tang et al., 2016), uneven distribution of the water forces (Ahmadi and Eslami, 2011), surcharge (Shukla et al., … An extract from Stability Analysis of Rock Slopes for Plane & Wedge Failure with the Aid of a programmable Pocket Calculator, K. Kovari and P. Fritz, Federal Institute of Technology Zurich, Switzerland Institute of Highways and Underground Structures, Department of Rock Mechanics, 10 pgs. " further analysis of the stability of a rock mass has tended Aoalysis to use traces of typical discontinuities on a spherical Following Hoek and Bray (1981), we consider a first projection rather than pi diagrams; examples may be site where a wedge is formed by two plane disconti- seen in … An approach for calculating distributed factor of safety of the irregular shear plane was put forward in this paper. The wedges are usually four or ﬁve sided. L'influence de la cohésion y figure explicitement, celle de la géométrie, de l'angle de frottement et du coefficient de sécurité y apparaissent implicitement dans deux facteurs. Search for other works by this author on: 1975. A complete program is given in this paper for the widely used "Hewlett- Packard HP 65" pocket calculator. International Journal of Surface Mining, Reclamation and Environment: Vol. As an alternative to computer drafting, Fig. However, the stratified rock slope cannot be accurately estimated by this method because of different bedding planes and their variable shear strength parameters. 2. The limit equilibrium method is generally utilized in the stability analysis of rock slope with single failure plane. non-associative character of toppling-sliding rock slope failures, examples of experimental data were chosen from the rock mech-anics literature to address (iii). Slopes lose strength over time through numerous events and certain lithologies lend itself more to specific types of failure. The stratified rock of Jurassic strata is widely distributed in Three Gorges Reservoir Region. Priest (1985) investigated the prediction of unstable block or wedge by the use of stereographic rotation plane. Paper presented at the The 16th U.S Symposium on Rock Mechanics (USRMS), Minneapolis, Minnesota, September 1975. Tax calculation will be finalised during checkout. and of its equatorial plane to the horizontal [Figure (c) Toppling failure in hard rock with slabs or columns defined by discontinuities that dip steeply into the slope Circular failure in overburden soil, waste rock or heavily fractured rock with no identifiable structural pattern The application of Goodman and Bray's limit equilibrium analysis of multi-block failures to these three slopes is demonstrated. HISTORY Petterson (1955) first applied the circle method to the analysis of a soil failure in connection with the failure of a quarry wall in Goeteberg, Sweden. ROCK SLOPES PROCESSES AND RECOMMENDED METHODS FOR ANALYSIS A. K. Alzo'ubi College of Engineering, Abu Dhabi University, UAE ABSTRACT: The stability of rock slopes is of great concern in many engineering projects, for example, road cuts, foundations, retaining walls, and dam excavation Generally, rock slopes susceptible to instability could be divided into two main categories, the … & Anbalagan, R. Plane failure analysis of rock slopes. REFERENCES In the following sections a method is developed which does away with these disadvantages and consequently substantially simplifies the design of rock slopes. Subscription will auto renew annually. The UDEC analysis per- formed by Lorig & Varona (2001) predicts a failure mechanism with a … At the time of failure, the shear strength of the soil is fully mobilized along the failure plane. In this manner the engineer can obtain a good idea of the sensitivity of the rock slope construction to changes in the individual parameters. The original Hoek-Brown (HB) failure criterion was used to analyse the stability of rock slopes. You could not be signed in. Stability Analysis of Rock Slopes with Plane and Wedge Failure by Means of a Pocket Calculator. Publisher. The common methods for the analysis of a slope’s stability are Culmann Method, Ordinary Method of Slices and Bishop Method of Slices. "Stability Analysis Of Rock Slopes For Plane And Wedge Failure With The Aid Of A Programmable Pocket Calculator." Für die Bemessung der Ankerkräfte zur Sicherung einer gleitgefährdeten Felsmasse wird für das ebene Problem eine Grundformel hergeleitet. For highly fractured rock, the original HB failure criterion has been modified, but its effect on the stability of rock slopes has not been studied. The most important types of slope failure are illustrated in Fig.1. The first failure occurred in a 20 m high granite slope that was stabilized by removing the top 6 m and installing a number of tensioned rock anchors in the toe. The Barton-Bandis nonlinear failure criterion and the limit equilibrium principle were adopted to account for the nonlinear characteristics of rock joint shear strength and safety factor of slope, respectively. Anhand einiger Beispiele wird die Anwendung auf praktische Fälle des Felsbaues illustriert. Summary. Geotech Geol Eng 13, 105–111 (1995). methods of stability analysis of slopes of finite height 30 31. Ceci permet d'appliquer directement la formule fondamentale, du problème plan, qui est simple, à la résolution du problème enchevêtré qui se présente dans l'espace. Immediate online access to all issues from 2019. 27 3.2 Anchored rock … The shear strength is represented by the Mohr-Coulomb criteria: τ= c This site uses cookies. The aim of the investigation is to determine the influence of the main parameters on the safety factor (Hoek and Londe, 1974). A probabilistic analysis will provide you with a safety factor distribution and a probability of failure. Failure of a rock slope on one or two plane surfaces is the simplest but at the same time the most important type of sliding failure and forms the basis for the stability analysis of rock slopes. Dans cet exposé figure un programme complet pour le modèle très répandu: le "Hewlett-Packard HP-65". (1995). https://doi.org/10.1007/BF00421876, Over 10 million scientific documents at your fingertips, Not logged in The 16th U.S Symposium on Rock Mechanics (USRMS), Federal Institute of Technology, Institute of Highways and Underground Structures, Department of Rock Mechanics. Toppling failure has not been considered, under which circumstances the simple resolution of forces together with the Coulomb failure hypothesis on the sliding plane are sufficient to arrive at a solution of the problem. By continuing to use our website, you are agreeing to, Special Contribution Slope Stability With Plane, Wedge And Polygonal Sliding Surfaces, Application of block theory to rock slope stability studies, Wedge Failure Analysis of a Rock Slope In Himalayas. 3 could be used as a set of reference curves: that is, the appropriate curves could be traced to obtain the daylight envelope required for slope stability analysis. analysis for rock slopes and also calculating factor of safety values for plane and wedge failures based on the limit equilibrium theory. Summary A simple formula for plane slope failure is derived, which may be used for the design of … Part of Springer Nature. Avec une calculatrice électronique programmable, ces investigations peuvent être faites à la fois rapidement et sans calculs fastidieux sur le terrain-même. 24 3.1 Geometry of slope exhibiting plane failure: (a) cross-section of the rock slope with a plane failure situation; and (b) release surfaces at ends of plane failure. Correspondence to (1981) Rock Slope Engineering, The Institution of Mining and Metallurgy, London. 1, pp. On a découvert une analogie formelle entre le glissement sur un plan et le glissement d'un coin de roche le long de deux plans. The presented method can obtain not only the detailed stability status at any grid node of a complex shear plane but also the global safety of the slope. - 213.144.97.145. As shown on Figures 1 and 2, at the right hand side the failure has occurred along a bedding plane. Plane failure analysis The potentially unstable regions in rock slopes consist of some wedges. 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