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Most design procedures devised to evaluating the bearing capacity of columnreinforced foundations have mainly dealt with foundations under vertical loading. The purpose of the present work is to investiga te within the framework of limit analysis theory the ultimate bearing capacity problem of column-reinforced foundations under inclined loading. Special emphasis is given to the ejJect 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 lhe inclination angle of applied load. The semi-analytical expressions of both lower and upper bound estimates al/ow 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 ofthe 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.

Yield design solutions to bearing capacity of a column-reinforced soil foundation under inclined loading