A Parametrical Analysis for the Rotational Ductility of Reinforced Concrete Beams

Domenico Raffaele, Giuseppina Uva, Francesco Porco, Andrea Fiore*
Dicatech, Politecnico di Bari, via Orabona 4 - 70126 Bari, Italy.

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© 2013 Raffaele et al;

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the Dicatech, Politecnico di Bari, via Orabona 4 - 70126 Bari, Italy; Tel: +39 080 5963832; Fax: +39 080 5963832; E-mails:,


The assessment of the plastic rotation of reinforced concrete beams is an essential aspect to avoid structural brittle collapses. The value actually available can be generally determined as sum of two different components. The first, due to bending, the second for inclined shear cracks. This paper presents a simplified model which provides the flexural plastic rotation of the rectangular beams with a ``closed-form solution''. The approach is substantially dimensionless and includes main influencing factors the cross -section, as mechanical material properties, ductility, geometrical and mechanical reinforcement ratio, confinement effects. In closing, in order to appreciate the reliability of the procedure, a comparison with models proposed by international technical standards is made.

Keywords: Vertical bending cracks, Plastic rotation capacity, Ductility, inclined shear cracks, Plastic bending hinge, mechanical reinforcement ratio.