抄録
In this paper, the limit analysis theorems and linear programming techniques are applied to find the rigorous lower- and upper-bound solutions to the exact limit load of rigid strip footings with rough base loaded by eccentric and inclined loads. Finite elements are used to construct both statically admissible stress fields for lower bound analysis and kinematically admissible velocity fields for upper bound analysis. By assuming linear variation of nodal and elemental variables, the determination of the best lower- and upper-bound solutions is done using linear programming. Finite element analyses were also performed for the same cases. In addition to the news of limit bearing capacity, the contact normal and shear stress distributions below the footing were also determined from the finite element analysis. The results of the limit analysis and the finite element analysis were compared with the Meyerhof and Hansen equations using the simplified procedure (effective width) due to Meyerhof for dealing with eccentric loads. The comparison suggests that Meyerhof s and Hansen's procedures are unconservative for large eccentricities. In addition, the bearing capacity equation was newly proposed to obtain the reasonable bearing capacity in the large eccentricities.
