Abstract

The problem of a concrete cross section under flexural and axial loading is indeterminate. Among the infinite solutions, it is possible to find the optimum, which is that of minimum reinforcement that satisfies certain design constraints (section ductility, minimum reinforcement area, etc.). This paper proposes the automation of the optimum reinforcement calculation under any combination of flexural and axial loading. Conventional-strength or high-strength concrete may be chosen, minimum reinforcement area may be considered, and the neutral axis depth may be constrained in order to guarantee a certain sectional ductility. Some numerical examples are presented, drawing comparisons between the results obtained by ACI 318, EC 2, and the conventional method.

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