Proceedings Vol. 27/28 (2022)
ENGINEERING MECHANICS 2022
May 9 – 12, 2022, Milovy, Czech Republic
Copyright © 2022 Institute of Theoretical and Applied Mechanics of the Czech Academy of Sciences, Prague
ISBN 978-80-86246-51-2 (electronic)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)
list of papers scientific commitee
pages 17 - 20, full text
Calculation of the critical moments Mcr of the beams under various combinations of the uniform loading q 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 calculation of the critical moments depending on three factors C1, C2, C3 and three dimensionless parameters κwt , ζg , ζj was derived before. The values of the factors C1, C2, C3 for basic loadings of the beams with the various combinations of the boundary conditions in vertical and horizontal bending and torsion for the monosymmetric I-sections were published before. They were later accepted for Eurocode (2007) and many national annexes. The presented results are valid for the beams simply supported 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.
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All papers were reviewed by members of the scientific committee.