6 Conclusions
The common approach employed to assess the bearing capacity of pile groups under vertical eccentric loads assumes as ultimate strength that corresponding to the achievement of the axial capacity on the outermost pile. Such an approach is unduly conservative, since it does not exploit the ductility of the system, and may lead to oversize significantly the pile foundation.
This work suggests an alternative, more rational approach for ultimate moment-axial force interaction diagrams. The problem under examination consists of a rigid cap, clear from the ground, surmounting a group of unevenly distributed, dissimilar piles, each of them having specified values of ultimate load in compression and uplift. The piles’ connections to the cap are modeled as either hinges or rigid-plastic fixities. Under the assumption of hinged heads, closed form, exact solutions are provided for the most general case, giving rise to an interaction diagram which is always a convex domain consisting of straight lines and characterized by a point of polar symmetry. For rigid-plastic fixities, a closed-form, lower bound to the collapse load, almost coincident with the exact solution, is provided. Usually, the effect of yielding moment is negligible for slender piles, while it may be important for large diameter, squatty piles.