An impasse has arisen in present-day rigid-plastic theory for bending of slabs, in that exact solutions may not exist for certain combinations of shape, load, and boundary conditions. It is now shown, for the first time, that a complete elastic-plastic solution for a uniformly loaded square slab is unobtainable even with simple supports, in spite of the fact that an exact rigid-plastic solution is already well known. These discrepancies are traced to over-idealization of the yield criterion, in particular to the possibility of missing plastic-shear strains. The need for new experimental investigations is apparent, as well as for changes in the theory.
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