Abstract
ABSTRACT: In this paper we present a set of MATLAB routines for evaluation of the moment-curvature relationship of reinforced concrete cross sections. This is a topic of major importance for both academic and practical design purposes in the context of structural engineering. The computational routines were developed to be simple, general and flexible. This allows wide practical application and future improvements and modifications. The well-known fibers approach is employed, but an alternative development of the method is also presented. This is interesting from the conceptual point of view. Finally, numerical comparisons are presented to validate the routines.
Highlights
Evaluation of the moment-curvature relation of reinforced concrete cross sections is a problem of significant importance in structural engineering, with wide application to both scientific and design purposes
An alternative development of the fibers approach is presented, that is interesting from the conceptual point of view
In this work we presented a set of MATLAB computational routines for obtaining the moment-curvature relation of reinforced concrete cross sections
Summary
Evaluation of the moment-curvature relation of reinforced concrete cross sections is a problem of significant importance in structural engineering, with wide application to both scientific and design purposes. Bonet et al [10] presented a general approach for building the moment curvature relation or reinforced concrete beams, employing Gaussian quadrature and integration cells. The main advantage of this approach is its simplicity from both the conceptual and computational point of view, since it employs the intuitive notion of summation of the fiber’s contribution instead of abstract numerical quadrature schemes Later works focused on improved quadrature schemes, such as the works by Fafitis [8]; Bonet et al [10]; Papanikolaou [1]; Vaz Rodrigues [3] In this case, integration of the stress field is made using standard quadrature rules from numerical analysis (Atkinson [12]; Burden and Faires [13]). The computational routines developed are detailed in the Appendix A
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