Engineering Mechanics

Proceedings Vol. 27/28 (2022)

ENGINEERING MECHANICS 2022

Copyright © 2022 Institute of Theoretical and Applied Mechanics of the Czech Academy of Sciences, Prague

 

Baláž I., Koleková Y., Partov D.
pages 21 - 24, full text

Calculation of the critical moments M_cr of the beams under various combinations of the force F in the middle of span and the end moments. Solution of the differential equations is presented in the graphical form. Two diagrams enable to obtain the factors C₁ and C₂, which depend on the parameters M and ψ . Approximate formula for the calculation of the critical moments depending on three factors C1, C2, C3 and three dimensionless parameters κ_wt , ζ_g , ζ_j was derived before. The formula together with the proposed values of factors C₁, C₂, C₃ for basic loadings of beams with the monosymmetric I-sections were accepted for Eurocode (2007) and many national annexes. Presented results are valid for the beams with double symmetric I-sections. They may be used also for the continuous beams being slightly on the safe side. Numerical examples show that our results equal to the exact results of commercial computer programs. The procedure gives quickly practically exact results and therefore it is efficient tool for designers. This paper is twin of the paper (2022) where beams under uniform loading q and end moments are investigated.

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