J4  2013, Vol. 47 Issue (6): 1097-1103    DOI: 10.3785/j.issn.1008-973X.2013.06.023
 土木工程

1.浙江工商大学 环保设计研究院,浙江 杭州 310005;2.浙江大学 软弱土与环境土工教育部重点实验室, 浙江 杭州 310058;3.浙江大学 岩土工程研究所,浙江 杭州 310058
Limit equilibrium analysis method based on vector sum method for 3D slope
YE Qiu-hong1, LING Dao-sheng2,3
1. Zhejiang Gongshang University, Hangzhou 310005,China; 2.MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Zhejiang University, Hangzhou 310058, China; 3.Institude of Goetechnical Engineering, Zhejiang University, Hangzhou 310058,China
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Abstract:

The 2D limit equilibrium method is not suitable to analyze the stability of slope with complicated geometry. Based on the definition of vector sum factor of safety, a general limit equilibrium method, which satisfies the three force equilibriums for all columns and the three moment equilibriums for total failure mass, was proposed. The lateral shear factors and lateral shear distribution functions were introduced to simplify the interslice force distribution, and all interslice forces were taken into account in calculating the safety factor. The safety factors for each row and column were obtained by force equilibriums and boundary conditions for total failure mass, and the lateral shear factors were determined by solving the torque-equilibrium equations for total failure mass. The vector sum factor was determined according to the vector characteristics of forces against the tendency direction which is the opposite direction of the sum of the shears along the sliding surface. A classical example was adopted to validate the presented method. The numerical results showed that fully consideration of interslice forces improves the safe factor of 3D slope.

 : TU 457