Engineering Mechanics

International Conference

Proceedings Vol. 27/28 (2022)


ENGINEERING MECHANICS 2022

27/28th INTERNATIONAL CONFERENCE
May 9 – 12, 2022, Milovy, Czech Republic
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Editors: Cyril Fischer and Jiří Náprstek

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

ISBN 978-80-86246-48-2 (printed)
ISBN 978-80-86246-51-2 (electronic)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

Stability of beams under uniform loading q combined with end moments Ma and Mb
Baláž I., Koleková Y., Partov D.
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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Ownership of copyright in original research articles remains with the Authors, and provided that, when reproducing parts of the contribution, the Authors acknowledge and/or reference the Proceedings, the Authors do not need to seek permission for re-use of their material.

All papers were reviewed by members of the scientific committee.


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