Determination of stresses in RC eccentrically compressed members using optimization methods
Marek Lechman , Andrzej Stachurski
AbstractThe paper presents an optimization method for determining the strains and stresses in reinforced concrete (RC) members subjected to the eccentric compression. The governing equations for strains in the rectangular cross-sections are derived by integrating the equilibrium equations of cross-sections, taking account of the effect of concrete softening in plastic range and the mean compressive strength of concrete. The stress-strain relationship for concrete in compression for short term uniaxial loading is assumed according to Eurocode 2 for nonlinear analysis. For reinforcing steel linear-elastic model with hardening in plastic range is applied. The task consists in the solving the set of the derived equations s.t. box constraints. The resulting problem was solved by means of fmincon function implemented from the Matlab’s Optimization Toolbox. Numerical experiments have shown the existence of many points verifying the equations with a very good accuracy. Therefore, some operations from the global optimization were included: start of fmincon from many points and clusterization. The model is verified on the set of data encountered in the engineering practice.
|Publication size in sheets||6500.15|
|Book||Podgórski Jerzy, Błazik-Borowa E., Bec Jarosław, Burczyński Tadeusz, Kuczma Mieczyslaw, Latalski Jarosław, Warmiński Jerzy (eds.): COMPUTER METHODS IN MECHANICS (CMM2017): Proceedings of the 22nd International Conference on Computer Methods in Mechanics, AIP Conference Proceedings, vol. 1922, no. 1, 2018, AIP Publishing, ISBN 978-0-7354-1614-7, 1180 p., DOI:10.1063/1.5019027|
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