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Three-dimensional Bearing Capacity of Footings on Sand over Clay

The assessment of bearing capacity in shallow foundations on layered soils has traditionally relied upon empirical models, often assuming the presence of a strip footing.

In their recent research, published in the Australian Geomechanics Society journal, engineers Sean Goodall and Richard Merifield have delved into a comprehensive exploration of the three-dimensional bearing capacity. Specifically, their study examines square and rectangular footings situated on a substrate of sand overlying clay using finite element limit analysis.

Overviews of models and problem definitions

Overview of models and problem definitions

The objective was to investigate the three-dimensional bearing capacity of square and rectangular footings resting on sand overlying clay using finite element limit analysis. The problem of a footing resting on sand overlying clay is a rather classical and commonly encountered geotechnical problem, for example, a working platform that is used to support a crane or piling rig, which historically have been assessed using empirical methods that require many simplifying assumptions, and as a consequence have some limitations in practice.

Three-dimensional bearing capacity of footings on sand over clay
Three-dimensional bearing capacity of footings on sand over clay

Overview of models and problem definitions

Finite element limit analysis is a particularly advanced method of analysis that can overcome many of the simplifying assumptions and limitations of other methods. One significant benefit, compared to many other methods, is that the finite element limit analysis provides rigorous bounds of the ultimate bearing capacity. There have been a few studies into the sand over clay problem using finite element limit analysis but what makes our study particularly special is the three-dimensional considerations. To the best of our knowledge this appears to be the first study of this scope and size that has applied three-dimensional finite element limit analyses to the sand over clay problem.

Selected results from benchmarking the solutions and analysis
Selected results from benchmarking the solutions and analysis

Selected results from benchmarking the solutions and analysis

A benchmarking exercise was performed, which indicated the results of our study compared well with published experimental data and the results of other studies. A parametric study was also performed on a number of variables to provide readers with an understanding of the effect of various assumptions, boundary conditions and parameters.

Selected results from benchmarking the solutions and analysis

Selected results from benchmarking the solutions and analysis

The results of the modelling have been used to develop dimensionless design charts for a range of commonly encountered geotechnical conditions, working platforms and more generally footings resting on sand overlying clay. It is hoped that the result of this study assists with both safer and more sustainable working platform designs in industry.

Result from the design chart from the limit analysis for a square footing resting on sand overlying clay

Result from the design chart - Limit analysis

Selected results from analysis showing failure mechanism
Selected results from analysis showing failure mechanism

Selected results from the analysis showing failure mechanism

Sean Goodall and Richard Merifield.