Shakedown with softening in reinforced concrete beams

Critical softening parameters for first-formed highes at any location in a two-span beam are derived, and the relationship between positive load increments and softening parameter less than critical for midspan or interior support highes are also determined. The effect of non-critical softening on the well known static collapse and shakedown loads for an elastic-plastic beam is found. It is shown that the combined effect of softening and residual moments (such as caused by differential settlements) on the static collapse and shakedown loads may be dramatic.