Calculation of Slope Stability Anchoring Force by Using Inclined Slice Method

2011 ◽  
Vol 261-263 ◽  
pp. 1898-1903 ◽  
Author(s):  
Hai Yu Ge ◽  
Jin Song Tu ◽  
Jian Guo Wang
Keyword(s):  
Slope Stability ◽  
Safety Factor ◽  
Limit Equilibrium ◽  
Algebraic Expression ◽  
Equilibrium Conditions ◽  
Vertical Slice ◽  
Conventional Methods ◽  
Slice Method ◽  
Anchor Force

Generally, the slope stability anchoring force is calculated by using vertical slice methods. A more feasible algebraic expression for the calculation of slope stability anchoring force is presented herein, which is obtained from the force limit equilibrium conditions of inclined slices based on the concept of the inclined slice method. The examples described herein show that the results from the calculation of the anchor force by using this method are similar to those by using conventional methods such as Swedish slice method and simplified Bishop method if the slope stability and safety factor are given. In addition, calculation of the anchoring force is simplified by using this method with accurate results, making it significantly easy for engineers and technicians to familiarize with and apply.

Inclined Slice Method for the Calculation of Slope Stability Safety Factor

2011 ◽  
Vol 261-263 ◽  
pp. 1459-1464 ◽  
Author(s):  
Hai Yu Ge ◽  
Jin Song Tu ◽  
Song Xia ◽  
Jian Guo Wang
Keyword(s):  
Slope Stability ◽  
Safety Factor ◽  
Limit Equilibrium ◽  
Algebraic Expression ◽  
Equilibrium Conditions ◽  
Slope Engineering ◽  
Technical Personnel ◽  
Vertical Slice ◽  
Conventional Methods ◽  
Slice Method

The vertical slice method is generally adopted for calculation of slope stability safety factor. The algebraic expression of the slope stability safety factor Fs is deducted based on the idea of the calculation via the inclined slice method and according to the inclined slice force limit equilibrium conditions. This expression is implicit so that the result can be obtained quickly only through simple iteratives, guaranteeing the convergence. Calculation examples show that the slope stability safety factor Fs derived from this method is very similar with that from conventional methods. which proves that this method is feasible and brings convenience to technical personnel of slope engineering.

Calculation of Safety Factor of the Slope under Horizontal Seismic Forces Based on the Inclined Slice Method

2010 ◽  
Vol 163-167 ◽  
pp. 4486-4491
Author(s):  
Hai Yu Ge ◽  
Jin Song Tu ◽  
Jian Guo Wang
Keyword(s):  
Slope Stability ◽  
Safety Factor ◽  
Limit Equilibrium ◽  
Algebraic Expression ◽  
Process Convergence ◽  
Convergence Performance ◽  
Vertical Slice ◽  
Slice Method ◽  
Seismic Forces ◽  
Simplified Calculation

The vertical slice method is generally adopted for calculation of slope stability safety factor. The algebraic expression of stability safety factor of the slope under horizontal seismic forces is deduced based on the idea of calculation via the inclined slice method and according to the force limit equilibrium conditions of inclined slices. It replaces conventional integral or differential expressions with advantages such as simplified calculation process, convergence performance guarantee and rapid calculation via simple iterative. The example shows that the slope stability safety factor derived from this method is very similar with that from conventional methods, which proves that this method is feasible and brings convenience to technical personnel of slope engineering.

Improved general slice method of limit equilibrium for slope stability analysis

2021 ◽  
Vol 18 (1) ◽  
pp. 55-64
Author(s):  
Shiguo Xiao ◽  
Tingjun Chen
Keyword(s):  
Linear Programming ◽  
Stability Analysis ◽  
Energy Dissipation ◽  
Slope Stability ◽  
Limit Equilibrium ◽  
Slope Stability Analysis ◽  
Equilibrium Conditions ◽  
Non Linear Programming ◽  
Slip Surfaces ◽  
Slice Method

For traditional slice methods of limit equilibrium used to analyze slope stability, some hypothetical conditions on interslice force are generally introduced to solve the problem. In order to reduce the defect theoretically due to the related hypothesis, more rigorous constraints of interslice force are completely considered in light of static equilibrium conditions and energy dissipation principle of the interface between two adjacent slices. Without hypothesis of interslice force, the slope stability analysis is transformed consistently into a non-linear programming problem to be solved. So, a generally improved solution of slice method of limit equilibrium to slope stability is put forward. In particular, influence of the dilation angle of soil on slope stability can be involved in the method. The proposed method can be utilized for any slopes with arbitrary slip surfaces.

Slope Stability Analysis of Elastic Limit Equilibrium Method

2013 ◽  
Vol 275-277 ◽  
pp. 1423-1426
Author(s):  
Lin Kuang ◽  
Ai Zhong Lv ◽  
Yu Zhou
Keyword(s):  
Stability Analysis ◽  
Slope Stability ◽  
Safety Factor ◽  
Slip Surface ◽  
Limit Equilibrium ◽  
Limit Equilibrium Method ◽  
Slope Stability Analysis ◽  
Sliding Surface ◽  
Tangential Stresses ◽  
Equilibrium Method

Based on finite element analysis software ANSYS, slope stability analysis is carried out by Elastic limiting equilibrium method proposed in this paper. A series of sliding surface of the slope can be assumed firstly, and then stress field along the sliding surface is analyzed as the slope is in elastic state. The normal and tangential stresses along each sliding surface can be obtained, respectively. Then the safety factor for each slip surface can be calculated, the slip surface which the safety factor is smallest is the most dangerous sliding surface. This method is different from the previous limit equilibrium method. For the previous limit equilibrium method, the normal and tangential stresses along the sliding surface are calculated based on many assumptions. While, the limit equilibrium method proposed in this paper has fewer assumptions and clear physical meaning.

scholarly journals Application of Harmony Search Algorithm to Slope Stability Analysis

Land ◽  
2021 ◽  
Vol 10 (11) ◽  
pp. 1250
Author(s):  
Sina Shaffiee Haghshenas ◽  
Sami Shaffiee Haghshenas ◽  
Zong Woo Geem ◽  
Tae-Hyung Kim ◽  
Reza Mikaeil ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Slope Stability ◽  
Safety Factor ◽  
Search Algorithm ◽  
Limit Equilibrium ◽  
Harmony Search ◽  
Harmony Search Algorithm ◽  
Slope Stability Analysis ◽  
Unit Weight ◽  
Slope Safety

Slope stability analysis is undoubtedly one of the most complex problems in geotechnical engineering and its study plays a paramount role in mitigating the risk associated with the occurrence of a landslide. This problem is commonly tackled by using limit equilibrium methods or advanced numerical techniques to assess the slope safety factor or, sometimes, even the displacement field of the slope. In this study, as an alternative approach, an attempt to assess the stability condition of homogeneous slopes was made using a machine learning (ML) technique. Specifically, a meta-heuristic algorithm (Harmony Search (HS) algorithm) and K-means algorithm were employed to perform a clustering analysis by considering two different classes, depending on whether a slope was unstable or stable. To achieve the purpose of this study, a database made up of 19 case studies with 6 model inputs including unit weight, intercept cohesion, angle of shearing resistance, slope angle, slope height and pore pressure ratio and one output (i.e., the slope safety factor) was established. Referring to this database, 17 out of 19 slopes were categorized correctly. Moreover, the obtained results showed that, referring to the considered database, the intercept cohesion was the most significant parameter in defining the class of each slope, whereas the unit weight had the smallest influence. Finally, the obtained results showed that the Harmony Search algorithm is an efficient approach for training K-means algorithms.

scholarly journals Stability Analysis of Anchored Soil Slope Based on Finite Element Limit Equilibrium Method

2016 ◽  
Vol 2016 ◽  
pp. 1-8
Author(s):  
Rui Zhang ◽  
Jie Zhao ◽  
Guixuan Wang
Keyword(s):  
Finite Element ◽  
Stability Analysis ◽  
Safety Factor ◽  
Slip Surface ◽  
Limit Equilibrium ◽  
Limit Equilibrium Method ◽  
Element Analysis ◽  
Surface Anchoring ◽  
Equilibrium Method ◽  
Slice Method

Under the condition of the plane strain, finite element limit equilibrium method is used to study some key problems of stability analysis for anchored slope. The definition of safe factor in slices method is generalized into FEM. The “true” stress field in the whole structure can be obtained by elastic-plastic finite element analysis. Then, the optimal search for the most dangerous sliding surface with Hooke-Jeeves optimized searching method is introduced. Three cases of stability analysis of natural slope, anchored slope with seepage, and excavation anchored slope are conducted. The differences in safety factor quantity, shape and location of slip surface, anchoring effect among slices method, finite element strength reduction method (SRM), and finite element limit equilibrium method are comparatively analyzed. The results show that the safety factor given by the FEM is greater and the unfavorable slip surface is deeper than that by the slice method. The finite element limit equilibrium method has high calculation accuracy, and to some extent the slice method underestimates the effect of anchor, and the effect of anchor is overrated in the SRM.

A Comparative Study on Locating Critical Slip Surface in 2D and 3D Limit Equilibrium Stability Analysis of Slopes

2012 ◽  
Vol 446-449 ◽  
pp. 1905-1913
Author(s):  
Mo Wen Xie ◽  
Zeng Fu Wang ◽  
Xiang Yu Liu ◽  
Ning Jia
Keyword(s):  
Stability Analysis ◽  
Slope Stability ◽  
Safety Factor ◽  
Slip Surface ◽  
Limit Equilibrium ◽  
Three Dimensional ◽  
Slope Stability Analysis ◽  
Equilibrium Stability ◽  
Critical Slip Surface ◽  
Minimum Safety Factor

The Various methods of optimization or random search have been developed for locating the critical slip surface of a slope and the related minimum safety factor in the limit equilibrium stability analysis of slope. But all these methods are based on a two-dimensional (2D) method and no one had been adapted for a search of the three-dimensional (3D) critical slip surface. In this paper, a new Monte Carlo random simulating method has been proposed to identify the 3D critical slip surface, in which assuming the initial slip to be the lower part of an ellipsoid, the 3D critical slip surface in the 3D slope stability analysis is located by minimizing the 3D safety factor of limit equilibrium approach. Based on the column-based three-dimensional limit equilibrium slope stability analysis models, new Geographic Information Systems (GIS) grid-based 3D deterministic limit equilibrium models are developed to calculate the 3D safety factors. Several practical examples, of obtained minimum safety factor and its critical slip surface by a 2D optimization or random technique, are extended to 3D slope problems to locate the 3D critical slip surface and to compare with the 2D results. The results shows that, comparing with the 2D results, the resulting 3D critical slip surface has no apparent difference only from a cross section, but the associated 3D safety factor is definitely higher.

Numerical Study of Plastic Strains on Slope Instability

2012 ◽  
Vol 548 ◽  
pp. 363-366
Author(s):  
Mao Hu Wang ◽  
Zhen Liang Xu
Keyword(s):  
Finite Element ◽  
Slope Stability ◽  
Safety Factor ◽  
Numerical Study ◽  
Limit Equilibrium ◽  
Strength Reduction ◽  
Slope Instability ◽  
Open Pit ◽  
Instability Criterion ◽  
Incremental Search

This article simulates an open pit slope stability using the ANSYS software, which is based on the finite element strength reduction theory, three kinds of slope instability criterion of the strength reduction method are applied to judge whether the slope is on the limit equilibrium state, the incremental search method is used to search the safety factor of the slope stability, and the results show that, the slope body damages when the plastic zone developed from the top to the bottom, in the numerical simulation the finite element iteration calculation didn’t just converge, the corresponding former level of reduction factor is the safety factor, This article can have a guiding significance on the safety production of the open-pit mine.

The Affecting Factors of Slope Stability Based on Orthogonal Design

2013 ◽  
Vol 690-693 ◽  
pp. 756-759 ◽  
Author(s):  
Zhao Rong Jiang ◽  
Le Hua Wang
Keyword(s):  
Slope Stability ◽  
Safety Factor ◽  
Rock Slope ◽  
Orthogonal Experiment ◽  
Orthogonal Design ◽  
Limit Equilibrium ◽  
Friction Angle ◽  
Affecting Factors ◽  
Good Test ◽  
Test Range

The orthogonal design can make sites in the test range uniformly distributed, which is introduced to slope sensitivity analysis, and can greatly reduce the test times and gets a good test effect.The paper takes the flood discharging tunnel import slope of Jinchuan hydropower station for example, which is a rock slope. This article selects the bulk density, internal friction angle, cohesion, earthquake acceleration four factors to design the orthogonal experiment, and the safety factor of the slope as a test indicators, using the simplified Bishop method of limit equilibrium theory to calculate the safety factor and analyses the slope sensitivity. The results show that the cohesion and earthquake acceleration are the most sensitive factors, and have a very significant impact on the slope stability.

Revisiting the three-dimensional slope stability problem in clay

2012 ◽  
Vol 49 (4) ◽  
pp. 494-498 ◽  
Author(s):  
Fei Cai ◽  
Atsushi Nakamura ◽  
Keizo Ugai
Keyword(s):  
Safety Factor ◽  
Stability Problem ◽  
Limit Equilibrium ◽  
Three Dimensional ◽  
Failure Surface ◽  
Benchmark Problem ◽  
Integral Expression ◽  
Equilibrium Conditions ◽  
Limit Equilibrium Methods ◽  
Force Equilibrium

This note revisits the benchmark problem involving a spherical failure surface in clay, gives an integral expression for the safety factor defined in terms of moments, and points out the mistakes in the solution of Silvestri. An integral expression for the safety factor of three-dimensional simplified Janbu’s method is also presented to facilitate the validation of three-dimensional limit equilibrium methods that satisfy force equilibrium conditions.

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