A general analytical solution for the required anchor force in rock slopes with toppling failure

Sagaseta, C.; Sánchez, José Moya; Cañizal, Jorge

doi:10.1016/s1365-1609(01)00011-9

Cited by 72 publications

(19 citation statements)

References 5 publications

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“…This can cause mined-out areas to collapse instantaneously, directly threatening overall slope stability and the lives of the miners. In recent years, extensive research has been carried out into mined-out areas under slopes with regard to such factors as the influence of the mined-out area on slope stability, the critical safety thickness of the roof of the mined-out area, and treatment methods for the mined-out area [7][8][9][10][11][12][13]. Hoek proposed that failure would take the form of progressive caving and that steeply dipping slopes are prone to topple when an inclined ore body is mined out; he proposed a limit equilibrium method for slope stability analysis [14].…”

Section: Introductionmentioning

confidence: 99%

Analysis of the Critical Safety Thickness for Pretreatment of Mined‐Out Areas Underlying the Final Slopes of Open‐Pit Mines and the Effects of Treatment

Tao

Zhu

et al. 2018

Shock and Vibration

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Where a mined-out area underlies a slope, it is a direct threat to slope safety and stability. This is of particular concern where a mined-out area underlies the slope of an open-pit mine, and it has a serious impact on the design and safety measures used for the mine. If a mined-out area underlying the final slope of an open-pit mine is not treated adequately and at the appropriate time, it may cause the slip failure of the final slope during the service life of the mine, posing a serious threat to the safety of personnel and equipment during the stripping phase. In light of the potential for such problems, this paper analyzes the instability mode and failure characteristics of an open-pit slope near a mined-out area in China using geological field survey and the polar stereographic projection method. The scale span method, in combination with engineering analogy and consideration of openpit mining technology, is then used to determine the critical safety thickness at which pretreatment of mined-out areas should be carried out. A pretreatment process to infill the mined-out area during construction of open-pit mine steps is put forward, and its effects on slope stability and reliability are comprehensively evaluated. The results show that circular sliding is the most appropriate instability mode for a slope near a mined-out area. The failure initiates through breakage in the roof of the mined-out area, which induces subduction sliding of the free face of the slope at the left boundary of the mined-out area and subsequent failure of the entire regional slope. Comprehensive analysis methods are used to determine that the critical safety thickness at which a mined-out area under the final open-pit slope should be pretreated is 24 m. The recommended treatment countermeasure is to transfer filling slurry into the mined-out area through drilling holes in benches. This can satisfy the stability and reliability requirements for the slope under different working conditions.

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Section: Introductionmentioning

confidence: 99%

Analysis of the Critical Safety Thickness for Pretreatment of Mined‐Out Areas Underlying the Final Slopes of Open‐Pit Mines and the Effects of Treatment

Tao

Zhu

et al. 2018

Shock and Vibration

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“…Bobet (1999) [10] presented an analytical method for the toppling failure considering the toppling mass as continuous medium rather than a discrete assemblage of blocks. Sagaseta et al (2001) [11] derived an analytical solution also considering the infinitesimal thickness of blocks and concluded that this method is suitable for slopes higher than 20-30 times the average block thickness. Chen et al (2005) [1] made an extension of the original solution considering the connectivity of block base.…”

Section: Introductionmentioning

confidence: 99%

“…Chen et al (2005) [1] made an extension of the original solution considering the connectivity of block base. Liu et al (2008Liu et al ( , 2010 [12,13] extended the continuum solution developed by [10,11] and presented an analytical approach for analyzing block toppling of those slopes that can be considered as continua. Considering rock layers as cantilever beams, Aydan and Kawamoto (1992) [14] proposed a limit equilibrium stability analysis method for slopes and underground openings under various loading conditions against the flexural toppling.…”

Section: Introductionmentioning

confidence: 99%

An Analytical Solution for Block Toppling Failure of Rock Slopes during an Earthquake

Guo

Yang

et al. 2017

Applied Sciences

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Toppling failure is one of the most common failure types in the field. It always occurs in rock masses containing a group of dominant discontinuities dipping into the slope. Post-earthquake investigation has shown that many toppling rock slope failures have occurred during earthquakes. In this study, an analytical solution is presented on the basis of limit equilibrium analysis. The acceleration of seismic load as well as joint persistence within the block base, were considered in the analysis. The method was then applied into a shake table test of an anti-dip layered slope model. As predicted from the analytical method, blocks topple or slide from slope crest to toe progressively and the factor of safety decreases as the inputting acceleration increases. The results perfectly duplicate the deformation features and stability condition of the physical model under the shake table test. It is shown that the presented method is more universal than the original one and can be adopted to evaluate the stability of the slope with potential toppling failure under seismic loads.

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“…In the design, except the designing parameters of the frame itself, the anchorage angle of the prestressed anchor cable is a very significant parameter [4]- [5] . Based on the Winkler foundation model, using backward beam method to calculate the internal force of anchor cable frame, the anchorage angle of the minimum bending moment is confirmed to be the optimal one.…”

Section: Introductionmentioning

confidence: 99%

A Comparative Research on the Optimal Anchor Angle of Anchor Cable Frame Project

Tong¹

2015

Proceedings of the 5th International Conference on Civil Engineering and Transportation 2015

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Abstract. It often happens in anchor cable projects that the beams of anchor cable fail to exert the optimal effect or even the projects fail due to the irrational design of anchorage angle. In response to this, based on the principal theoretical formula, the expression of the optimal anchorage angle was deduced, taking the bending moment of beams of anchor cable. Relevant software was compiled. The validity of the results was verified. The calculation of the optimal anchorage angle under different theories was also researched to be compared with the results of this paper.

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A general analytical solution for the required anchor force in rock slopes with toppling failure

Cited by 72 publications

References 5 publications

Analysis of the Critical Safety Thickness for Pretreatment of Mined‐Out Areas Underlying the Final Slopes of Open‐Pit Mines and the Effects of Treatment

Analysis of the Critical Safety Thickness for Pretreatment of Mined‐Out Areas Underlying the Final Slopes of Open‐Pit Mines and the Effects of Treatment

An Analytical Solution for Block Toppling Failure of Rock Slopes during an Earthquake

A Comparative Research on the Optimal Anchor Angle of Anchor Cable Frame Project

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