Research Article
Feb 1973
Use of Cycloidal Arcs for Estimating Ditch Safety
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VIEW THE REPLYPublication: Journal of the Soil Mechanics and Foundations Division
Volume 99, Issue 2
Abstract
A method of analysis is presented for estimating the factor of safety of ditches and similar excavations taking into account the unit weight and shearing strength of the soil. The method is based on the theory that the shear failure, if it occurs, will occur along a surface which is cycloidal in shape. Equations for shear stress and strength are derived from Coulomb's shear strength equation and the equation for safety factor developed and results presented in tabular form. For cases where a soil will not stand vertically and must be sloped, a definition for critical slope is presented and the equation to determine critical slope is derived and presented in tabular form.
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Published In
Journal of the Soil Mechanics and Foundations Division
Volume 99 • Issue 2 • February 1973
Pages: 165 - 179
Copyright
© 1973 American Society of Civil Engineers.
History
Published in print: Feb 1973
Published online: Feb 12, 2021
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Authors
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Harold B. Ellis, M.ASCE
Prof. and Head, Iowa State Tech. Inst., Ames, Iowa.
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