Timoshenko beam model for vibration analysis of composite steel-polymer concrete box beams

The free vibration model of a steel-polymer concrete beam based on Timoshenko beam theory is presented in this paper. The results obtained on the basis of the model analysis, describing values of the natural frequencies of the beam, were compared with the results obtained by the solution of the model formulated on the basis of the classical Euler-Bernoulli beam theory, the finite element model and the results of experimental studies. The developed model is characterized by high compliance with the experimental data: The relative error in the case of natural vibration frequencies does not exceed 0.4%, on average 0.2%. © 2020 Polish Society of Theoretical and Allied Mechanics. All rights reserved.