Title
Granular Mechanics of the Rankine’s Lateral Pressure on Retaining Walls Under General Conditions
Date Issued
01 January 2023
Access level
metadata only access
Resource Type
conference paper
Publisher(s)
Springer Science and Business Media Deutschland GmbH
Abstract
Rankine’s theory of lateral pressure in granular backfill is based on the hypothesis that the slip lines are straight. Despite this hypothesis, the achievement of the equations for the case of sloping wall and backfill is relatively difficult. However, when using the principles of granular mechanics, this problem is simplified to an elementary exercise in Statics. The definition of the associated and conjugate bands allows finding the global contact forces in any rhombic element of an infinite slope, under the condition that it obeys the Mohr-Coulomb law of plasticity. Knowing the contact area between a band and the back side of the retaining wall, the lateral pressure of the backfill is obtained, which is found to increase linearly with depth and depends on sines and cosines of the inclination angles of the back face, the slope of the backfill, and the angle of the associated bands. The lateral force is attained by integrating the pressure along the back face of the retaining wall, and can be verified with those resultants obtained previously by using the theory of plasticity. Granular mechanics allows for the complete generalization of the Rankine’s theory by means of very simple calculations.
Start page
211
End page
218
Volume
288 LNCE
Language
English
OCDE Knowledge area
Ingeniería civil
Scopus EID
2-s2.0-85136327212
Source
Lecture Notes in Civil Engineering
Resource of which it is part
Lecture Notes in Civil Engineering
ISSN of the container
23662557
ISBN of the container
9783031128509
Conference
6th International Conference of the International Association for Computer Methods and Advances in Geomechanics, IACMAG 2022
Sources of information: Directorio de Producción Científica Scopus