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Probabilistic comparative analysis between design rules of a shallow foundation safety

Authors:	S Imanzadeh D Breysse J Baroth D Dias N Piegay SM Elachachi

Institution:	1. Normandie Univ., INSA Rouen Normandie, LMN, 76000 Rouen, Francesaber.imanzadeh@insa-rouen.frhttps://orcid.org/0000-0001-7369-7978;3. Univ. Bordeaux, UMR 5295, I2M GCE Department, 33405 Talence Cedex, France;4. Univ. Grenoble Alpes, CNRS, Grenoble INP, 3SR, F-38000, Grenoble, France;5. Antea Group, Antony, France

Abstract:	ABSTRACT A fact that is generally overlooked in many geotechnical uncertainty analyses is that input data of the model may be correlated. While this correlation may influence the system response, epistemic uncertainties i.e. lack of knowledge of this correlation appears as a risk factor. This paper discusses how a negative correlation between cohesion (c’) and friction angle (Ø’) with their associated uncertainties can influence both the bearing resistance of a shallow strip foundation footing and the estimation of its safety. A probabilistic approach that considers both the negative correlation and the uncertainty is used in this work as a reference. This method is compared to Eurocode 7 variants that do not for the correlation. These variants, resistance and material factoring methods appears to be more or less conservative depending on the negative correlation degree between (c’–Ø), their associated uncertainties and soil configurations. Finally, the proposed probabilistic comparison shows that the material factoring method is more conservative than the resistance one.

Keywords:	Shallow foundation bearing resistance uncertainty correlated parameters Eurocode model probabilistic approach

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