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CivilComp Proceedings
ISSN 17593433 CCP: 75
PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping and Z. Bittnar
Paper 120
A Modified Algorithm for Reinforced Concrete Cross Section Integration J.L. Bonet+, P.F. Miguel+, M.L. Romero* and M.A. Fernandez+
+Construction Engineering and Civil Engineering Projects Department, Polythecnic University, Valencia, Spain
J.L. Bonet, P.F. Miguel, M.L. Romero, M.A. Fernandez, "A Modified Algorithm for Reinforced Concrete Cross Section Integration", in B.H.V. Topping, Z. Bittnar, (Editors), "Proceedings of the Sixth International Conference on Computational Structures Technology", CivilComp Press, Stirlingshire, UK, Paper 120, 2002. doi:10.4203/ccp.75.120
Keywords: nonlinear analysis, reinforced concrete, stress integration, crosssection analysis, GaussLegendre quadrature, biaxial bending.
Summary
This paper deals with the implementation of a modified integration procedure for
arbitrary geometry reinforced concrete cross sections with axial forces and biaxial
bending, from service load to ultimate load. The proposed method is applicable in
sections which stress field is uniform at least in one direction. The method
decompose the integration area in thick layers parallel to the most tensile stressed
fibre, which definition depends on the constitutive equation of the concrete. The
integration of the stress field of each thick layer is transformed into a path
integral over the perimeter of this layer, evaluating them by the GaussLegendre
cuadrature. The fundamentals of the method are explained in the paper and different
possibilities for this purpose are analysed. The obtained results for the different
alternatives are compared in accuracy and in speed in relation with the results
obtained with the classical fibre decomposition method,
Mari [1], and also with
other methods proposed by same authors, Miguel et al. [2] and Bonet et al. [3]
and a recently method proposed by Fafitis [4].
In the study among the four analysed methods (Cells, Fafitis, "Thick Layers
Integration" and "Modified Thick Layers Integration"), applied in different
concrete section types, the following conclusions are achieved:
Finally, the proposed "modified thick layers" method (MTLI), regarding the accuracy, efficiency, and continuity in the stress field integration it is advisable for the implementation in nonlinear reinforced concrete frameworks programs. References
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