Chapter
Jan 30, 2014
Chapter 9
Methods for Three-Dimensional Analysis
Publication: Slope Stability Analysis by the Limit Equilibrium Method: Fundamentals and Methods
Abstract
This chapter presents theoretical background for three-dimensional (3D) analysis and extends the method of slices to the method of columns. To simplify the analysis, the chapter covers only the normal, simplified Bishop, and original Spencer methods. The simplified Bishop method is recommended for circular failure surfaces and the original Spencer method for noncircular and composite failure surfaces. The purpose of 3D analysis is to include the end effects, so the same cross-section for 2D analysis is used for 3D analysis. Two types of failures are discussed, one with ellipsoidal ends and the other with planar ends. Major equations incorporated in LEAME are derived, and the use of spreadsheets to solve these equations is demonstrated. The equation for overall moment equilibrium used in all three methods is presented.
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© 2014 American Society of Civil Engineers.
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Published online: Jan 30, 2014
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