Rigid–plastic theory v. truss analogy method for calculating the shear strength of reinforced concrete beams

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Abstract
Synopsis A comparison is made between the web crushing strengths of reinforced concrete beams predicted by a model based on the theory of plasticity and by a variable-angle truss model. The theory of plasticity model assumes rigid–plastic behaviour of the constituent materials, whereas the variable-angle truss model incorporates their actual stress–strain characteristics. It is shown that neglect of the deformations in the web steel prior to yielding and in the concrete prior to crushing leads to a high prediction for both the amount of web reinforcement required for a balanced section and the ultimate capacity of a section which is over-reinforced for shear. However, both approaches yield the same capacity for a section which is under-reinforced for shear.

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