General Slice Method Based on Rigorous Equilibrium to Solve the Factor of Safety

Ming Cheng Yang

doi:10.4028/www.scientific.net/AMR.446-449.1755

Paper Titles

The Study of Field Effect through Uniaxial Compression Experiment on Marine Recycled Concrete Specimen Based on DPDM Technique
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In Situ FT-IR Studies on the Urethane Reaction Kinetics of 3-Methyl-1,3-Butanediol in Nitrogen-Contained Solvent
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Seepage Analysis for Dashiban Landslide Applied Typical Rainfall
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Upper Bound Solution for Ultimate Bearing Capacity of Foundation Based on Unified Strength Theory
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General Slice Method Based on Rigorous Equilibrium to Solve the Factor of Safety
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Numerical Simulation of Pumping Well-Underground Concrete Wall-Recharging Well in Dewatering of Deep Foundation Pit
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Numerical Simulation of the Interfacial Behaviour of Grouted Rockbolts in Tunnel Support Based on a Tri-Linear Bond-Slip Model
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Application of Comprehensive Evaluation Method to Foundation Pit Engineering
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Numerical Simulation of Geostress and Support of Roadway Crossing Strata in Complex Stress Condition
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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 446-449General Slice Method Based on Rigorous Equilibrium...

General Slice Method Based on Rigorous Equilibrium to Solve the Factor of Safety

Abstract:

For a general slice, force and moment equilibrium equations are developed, the recurrence equations of inter-slice force and inter-slice moment are derived, the general formulation based on rigorous equilibrium to solve the factor of safety is studied, hence, the theoretical framework of rigorous method of general slice is developed, rigorous method of vertical slice is a special case of it. Analyzing the applicability of Sarma’s method, two new inter-slice shear force equations are presented based on the compatible relationship among slice’s displacements by leading in the scaling parameter λ and inter-slice force function f(x),hey make the relationship between the inter-slice shear forces and slip surface geometry clear, and indicate that the reduction factor for shear strength along inter-slice boundaries varies from one boundary to the next depending on the geometry of the slices and the slip surface. The rigorous methods of general slice can be developed based on the modified inter-slice shear force equations, they think that the reduction factor for shear strength along inter-slice boundary is different from that for shear strength along slip surface. The example analysis indicates that the proposed new methods work better than Sarma’s method, the reasonable value of safety factor can be obtained by using them. Even if the shape of slice is varied, the proposed new methods can also give consistent values of safety factor and ensure that the iteration is stably convergent.