Yield design solutions to bearing capacity of a column-reinforced soil foundation under inclined loading
María Alicia Arévalos Burró1; Samir Maghous1
1 Federal University of Rio Grande do Sul
doi:10.20906/CPS/CILAMCE2015-0467
Resumo
Most design procedures devised to evaluating the bearing capacity of column-reinforced foundations have mainly dealt with foundations under vertical loading. The purpose of the present work is to investigate within the framework of limit analysis theory [1,2] the ultimate bearing capacity problem of column-reinforced foundations under inclined loading. Special emphasis is given to the effect of reinforcement on the interaction diagram relating the foundation load components. Starting from the situation of an isolated column, a lower bound solution for the bearing capacity is derived by considering statically admissible piecewise linear stress fields that comply with the failure condition everywhere in the foundation soil. On the other hand, the kinematic approach of limit analysis makes it possible, through the implementation of failure mechanisms on the column-reinforced structure, to derive upper bound estimates of the bearing capacity for each value of the inclination angle of applied load. The semi-analytical expressions of both lower and upper bound estimates allow for a parametric study on the improvement of the bearing capacity as a function of dimensionless parameters, which are defined from geometrical and strength properties. In this context, design charts are presented to provide an insight into the reinforcement mechanism. Generalization of the approach to the situation of a soil reinforced by a group of columns is subsequently undertaken in the context of plane strain conditions. It is shown in particular that, as soon as the horizontal component of the force increases, the vertical component of the bearing capacity decreases, thus emphasizing the strong interaction between the load components. Keywords. Bearing capacity, column reinforcement, foundations, inclined loading, limit analysis [1] J. Salençon. (1983). Calcul à la rupture et analyse limite. Presses de l´École Nationale des Ponts et Chaussées, Paris. [2] J. Salençon. (1990). An introduction to the yield design theory and its applicat
Palavras-chave: bearing capacity; column reinforcement; foundations; inclined loading; limit analysis