Estimation of static earth pressures for a sloping cohesive backfill using extended Rankine theory with a composite log-spiral failure surface

The Rankine earth pressure theory is extended herein to an inclined c – ϕ backfill. An analytical approach is then proposed to compute the static passive and active lateral earth pressures for a sloping cohesive backfill retained by a vertical wall, with the presence of wall–soil interface adhesion....

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Bibliographic Details
Published in:Acta geotechnica 2019-04, Vol.14 (2), p.579-594
Main Authors: Xu, Shi-Yu, Lawal, Abiodun Ismail, Shamsabadi, Anoosh, Taciroglu, Ertugrul
Format: Article
Language:English
Subjects:
Backfill
Cohesion
Complex Fluids and Microfluidics
Earth
Earth pressure
Earth surface
Engineering
Equilibrium analysis
Failure surface
Finite element method
Forces (mechanics)
Foundations
Geoengineering
Geotechnical Engineering & Applied Earth Sciences
Hydraulics
Inclination angle
Mathematical models
Research Paper
Soft and Granular Matter
Soil
Soil Science & Conservation
Soil stresses
Soils
Solid Mechanics
Thrust
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Summary:The Rankine earth pressure theory is extended herein to an inclined c – ϕ backfill. An analytical approach is then proposed to compute the static passive and active lateral earth pressures for a sloping cohesive backfill retained by a vertical wall, with the presence of wall–soil interface adhesion. The proposed method is based on a limit equilibrium analysis coupled with the method of slices wherein the assumed profile of the backfill failure surface is a composite of log-spiral and linear segments. The geometry of the failure surface is determined using the stress states of the soil at the two boundaries of the mobilized soil mass. The resultant lateral earth thrust, the point of application, and the induced moment on the wall are computed considering global and local equilibrium of forces and moments. Results of the proposed approach are compared with those predicted by a number of analytical models currently adopted in the design practice for various combinations of soil’s frictional angles, wall–soil interface frictional angles, inclined angles of backfill and soil cohesions. The predicted results are also verified against those obtained from finite element analyses for several scenarios under the passive condition. It is found that the magnitude of earth thrust increases with the backfill inclination angle under both the passive and active conditions.
ISSN:1861-1125
1861-1133
DOI:10.1007/s11440-018-0673-2