Bearing Capacity - 2D, 3D

# Bearing Capacity - 2D, 3D - Salgado R Lyamin A V Sloan S W...

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Salgado, R., Lyamin, A. V., Sloan, S. W. & Yu, H. S. (2004). Ge ´otechnique 54 , No. 5, 297–306 297 Two- and three-dimensional bearing capacity of foundations in clay R. SALGADO,* A.V. LYAMIN,† S.W. SLOAN† and H. S. YU‡ Bearing capacity calculations are an important part of the design of foundations. Most of the terms in the bearing capacity equation, as it is used today in practice, are empirical. Shape factors for square and rectangular footings could not be derived in the past because three- dimensional bearing capacity computations could not be performed with any degree of accuracy. Likewise, depth factors could not be determined because rigorous ana- lyses of foundations embedded in the ground were not available. In this paper, the bearing capacities of strip, square, circular and rectangular foundations in clay are determined rigorously based on Fnite element limit analysis. The results of the analyses are used to propose rigorous, deFnitive values of the shape and depth factors for foundations in clays. These results are helpful in reducing the uncertainties related to the method of analy- sis in bearing capacity calculations, paving the way for more cost-effective foundation design. KEYWORDS: bearing capacity; design; numerical modelling and analysis; theoretical analysis; clays; limit state design/ analysis Les calculs de capacite ´ porteuse sont une e ´tape impor- tante dans la conception des fondations. La plupart des termes de l’e ´quation de capacite ´ porteuse, telle qu’elle est utilise ´e aujourd’hui dans la pratique, sont empiriques. Dans le passe ´, les facteurs de forme pour les assises carre ´es et rectangulaires ne pouvaient pas e ˆtre de ´rive ´s car on ne pouvait pas faire avec exactitude les calculs tridimensionnels de capacite ´ porteuse. De me ˆme, les facteurs de profondeur ne pouvaient e ˆtre de ´termine ´s car on ne disposait pas d’analyses rigoureuses pour les fonda- tions enfouies dans le sol. Dans cet expose ´, nous de ´termi- nons de manie `re rigoureuse les capacite ´s porteuses de fondations longues, carre ´es, circulaires et rectangulaires dans de l’argile en nous basant sur des analyses limites d’e ´le ´ments Fnis. Nous utilisons les re ´sultats des analyses pour proposer des valeurs rigoureuses et de ´Fnitives pour les facteurs de forme et de profondeur de fondations dans des argiles. Les re ´sultats aident a ` re ´duire les incertitudes relatives a ` la me ´thode d’analyse dans les calculs de capacite ´ porteuse, ce qui devrait permettre la conception de fondations plus e ´conomiques. INTRODUCTION Geotechnical engineers routinely use the bearing capacity equation (Terzaghi, 1943; Meyerhof, 1951, 1963; Brinch Hansen, 1970) to estimate the limit unit load, q bL (referred to as the limit unit base resistance), that will cause a footing to undergo classical bearing capacity failure. For clays, the bearing capacity equation has the following form: q bL,net ¼ q bL ÿ q 0 ¼ s c d c N c s u (1) where N c is a bearing capacity factor; s u is a representative

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Bearing Capacity - 2D, 3D - Salgado R Lyamin A V Sloan S W...

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