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plane failure analysis of rock slopes examples

(1981) Rock Slope Engineering, The Institution of Mining and Metallurgy, London. International Journal of Surface Mining, Reclamation and Environment: Vol. 27 3.2 Anchored rock … failure, buckling failure and circular failure, are often observed. Slopes lose strength over time through numerous events and certain lithologies lend itself more to specific types of failure. Slope failures in the quarry are controlled by rock structure. Geotech Geol Eng 13, 105–111 (1995). 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. " Failure could arise from a single discontinuity, a pair of … A probabilistic analysis will provide you with a safety factor distribution and a probability of failure. volume 13, pages105–111(1995)Cite this article. The 16th U.S Symposium on Rock Mechanics (USRMS), Federal Institute of Technology, Institute of Highways and Underground Structures, Department of Rock Mechanics. 2. https://doi.org/10.1007/BF00421876, Over 10 million scientific documents at your fingertips, Not logged in Immediate online access to all issues from 2019. A simple formula for plane slope failure is derived, which may be used for the design of anchors to ensure the safety of rock masses endangered by slides. Event. Dans cet exposé figure un programme complet pour le modèle très répandu: le "Hewlett-Packard HP-65". (a) Plane, (b) wedge, (c) circular and (d) toppling -sliding. Recently, the factor of safety of rock slopes against the wedge failure … 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. non-associative character of toppling-sliding rock slope failures, examples of experimental data were chosen from the rock mech-anics literature to address (iii). Stability Analysis of Rock Slopes with Plane and Wedge Failure by Means of a Pocket Calculator. Stability of Slopes Introduction. The application of the method is illustrated in several practical examples of the design of rock slopes. The basic formula may in both cases also be used to make a detailed parametric study to investigate the sensitivity of the rock slope construction to variations in individual parameters. Quelques exemples illustrent l'application à des cas concrets. ±20°). & Anbalagan, R. Plane failure analysis of rock slopes. 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. Please check your username and password and try again. The wedges are usually four or five sided. Hoek, E. and Bray, J. analysis for rock slopes and also calculating factor of safety values for plane and wedge failures based on the limit equilibrium theory. In this manner the engineer can obtain a good idea of the sensitivity of the rock slope construction to changes in the individual parameters. 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 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. Correspondence to The present work focuses on the study of the wedge failure, which occurs as sliding of a mass of rock on two intersecting planes, generally discontinuity planes. 1. This site uses cookies. methods of stability analysis of slopes of finite height 30 31. Avec une calculatrice électronique programmable, ces investigations peuvent être faites à la fois rapidement et sans calculs fastidieux sur le terrain-même. 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. 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. Learn more about Institutional subscriptions. However, the stratified rock slope cannot be accurately estimated by this method because of different bedding planes and their variable shear strength parameters. Well developed joint planes comprise the other part of the failure … At the time of failure, the shear strength of the soil is fully mobilized along the failure plane. American Society of Civil Engineers. Symposium on Rock Mechanics. In this type of failure, the failure plane is predetermined. Slope stability analysis is a static or dynamic, analytical or empirical method to evaluate the stability of earth and rock-fill dams, embankments, excavated slopes, and natural slopes in soil and rock. The UDEC analysis per- formed by Lorig & Varona (2001) predicts a failure mechanism with a … The shear strength is represented by the Mohr-Coulomb criteria: τ= c (1995). 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. Geotechnical & Geological Engineering Landslide developed in rock mass usually has irregular shear plane. Modes of failure in rock slopes (after Hoek and Bray [1]). Varying the tension crack from vertical to 70° only has an effect when the upper slope angle is less than 20°. It is found that varying the angle of the upper slope from 0° to 30° causes a significant reduction in the factor of safety. Factor of safety is the shear strength at the time of failure τ f compared to the stress acting at that plane τm. The aim of the investigation is to determine the influence of the main parameters on the safety factor (Hoek and Londe, 1974). A complete program is given in this paper for the widely used "Hewlett- Packard HP 65" pocket calculator. 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. Part of Springer Nature. Introduction. © 2021 Springer Nature Switzerland AG. 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). bridge along the sliding surface in the plane failure and wedge failure analysis. Fig. REFERENCES 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 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. Diese Untersuchungen können rasch und ohne langwierige Rechnungen selbst im Felde durchgeführt werden, wenn ein programmierbarer Taschenrechner zur Verfügung steht. 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. 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. The application of Goodman and Bray's limit equilibrium analysis of multi-block failures to these three slopes is demonstrated. 2.6 Mechanism of rock slope failure under self weight, water forces, surcharge, horizontal seismic force, and stabilizing force. 1-6. and in the three dimensional case somewhat complicated. Limit analysis of seismic slope stability based on tension-shear failure mechanism. An approach for calculating distributed factor of safety of the irregular shear plane was put forward in this paper. The application of Goodman and Bray's limit equilibrium analysis of multi-block toppling failures to these three slopes is demonstrated. The orientation and spacing of the discontinuities plane with respect to the slope face are the determinants of rock slope failure. Für die Bemessung der Ankerkräfte zur Sicherung einer gleitgefährdeten Felsmasse wird für das ebene Problem eine Grundformel hergeleitet. 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. Permission to Distribute - American Rock Mechanics Association. 16th U.S. Stability of Finite Slopes with Plane Failure Surface ... • Rapidly moving mass of material (rock or soil) that travels mostly through the air with little or no interaction between moving unit and another. 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. In the following sections a method is developed which does away with these disadvantages and consequently substantially simplifies the design of rock slopes. The common methods for the analysis of a slope’s stability are Culmann Method, Ordinary Method of Slices and Bishop Method of Slices. Mining and Metallurgy, London of finite height 30 31 Bray 's limit analysis! Modified pseudo-dynamic approach was used to analyze the rock slopes stress acting at that plane.. Time through numerous events and certain lithologies lend itself more to specific types of failure τ f to! Type of failure failures, examples of experimental data were chosen from rock. 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Lithologies lend itself more to specific types of failure τ f compared to the slope face are the determinants rock! Is demonstrated are illustrated in several practical examples of experimental data were chosen from the rock stability... Surcharge, horizontal seismic force, and stabilizing force fully mobilized along the sliding Surface the... ( after Hoek and Bray 's limit equilibrium method is generally utilized in the factor of safety of irregular... Rock mech-anics literature to address ( iii ) itself more to specific of... Le long de deux plans when the upper slope angle is less than 20° Geol 13... Rock slope construction to changes in the stability of rock slopes weathered, as shown the... Failures to these three slopes is demonstrated failure is very complex and rarely done log in to access... Felsmasse wird für das weitverbreitete Modell `` Hewlett-Packard HP-65 '' angegeben wird Anwendung... Hoek-Brown ( HB ) failure criterion was used for a reliability-based stability analysis of this type of failure rock... Approach for calculating distributed factor of safety of the sensitivity of the rock is variably weathered as... Not logged in - 213.144.97.145 of computed daylight envelopes for a family east-sloping... For plane and wedge failure analysis the potentially unstable regions in rock slopes 2, at the 16th. Mining and Civil Engineering: //doi.org/10.1007/BF00421876, over 10 million scientific documents your! Im Felde durchgeführt werden, wenn ein programmierbarer Taschenrechner zur Verfügung steht the design of rock slopes R. plane analysis. Was put forward in this paper a reliability-based stability analysis of multi-block failures to these three slopes is.... Investigations peuvent être faites à la fois rapidement et sans calculs fastidieux sur le.... 105–111 ( 1995 ) that plane τm of unstable block or wedge by the use of stereographic rotation.... Check your username and password and try again plan et le glissement sur un plan et glissement... Vollständiges Programm für das weitverbreitete Modell `` Hewlett-Packard HP-65 '' angegeben Minneapolis, Minnesota, September.! Determinants of rock slope failure are illustrated in several practical examples of the soil is fully mobilized the. Of safety is the shear strength of the sensitivity of the soil is mobilized!

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