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IX INTERNATIONAL CONFERENCE
CONTEMPORARY ACHIEVEMENTS IN
CIVIL ENGINEERING
BOOK OF ABSTRACTS , 2024.god., str. 41-41


SEMI-ANALYTICAL SOLUTION FOR ELASTO-PLASTIC DEFLECTION OF PRISMATIC SIMPLY SUPPORTED BEAMS WITH CIRCULAR CROSS-SECTION
 
DOI: 10.14415/CACE2024.19
UDK: 624.072.2:539.3
CC-BY-SA 4.0 license
Autor : Zorić, Andrija; Milić, Miloš; Trajković-Milenković, Marina; Vacev, Todor; Nešović, Ivan; Slavković, Katarina
 
 Rezime:
 The solution for the elastoplastic deflection of simply supported beams with circular cross-sectio loaded by lateral force at the midspan is proposed. The solution is developed based on the assumption of homogenous and isotropic material with bilinear elastoplastic strain hardening behaviour. The elastic deflection of the beam is determined using the Bernoulli-Euler formula. For the plastic deflection, an incremental procedure is proposed considering that the differential equation of beam bending does not have a solution in closed form. The proposed semi-analytical solution is validated against experimental results on one sample, as well as against finite element analysis results of eight simply supported beam models with varying geometrical and material parameters. Satisfactory agreement between the proposed semi-analytical results and experimental and numerical results confirms the solution's validity.
 
 Ključne reči:
 ELASTOPLASTIC BEHAVIOUR, STRAIN HARDENING, CIRCULAR CROSS-SECTION, SIMPLY SUPPORTED BEAM