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The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs.

Strathprints serves world leading Open Access research by the University of Strathclyde, including research by the Strathclyde Institute of Pharmacy and Biomedical Sciences (SIPBS), where research centres such as the Industrial Biotechnology Innovation Centre (IBioIC), the Cancer Research UK Formulation Unit, SeaBioTech and the Centre for Biophotonics are based.

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On the optimal profile of a slope

Utili, S. and Nova, R. (2007) On the optimal profile of a slope. Soils and foundations, 47 (4). pp. 717-731. ISSN 0038-0806

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Abstract

The problem of determining the best profile for a c, φ soil slope is tackled, with reference to rigid rotational failure mechanisms. By means of limit analysis, upper bound values of collapse load are determined. A new mathematical function is derived to compute the external work made by the weight of a double spiral shaped soil region sliding away. It is found that a log spiral front is associated with a larger safety factor than a planar one. The obtained results may also explain the log-spiral shape of perimeter walls of some typical Japanese castles.