Verification of the Thin-walled Beam Theory with Application of FEM and Shell Modelling

Cezary Witold Ajdukiewicz , Marcin Daniel Gajewski


This article presents the results of a systematic comparison of predictions of the thin-walled beam theory and shell theory in the context of bending of elastic thin-walled beams with an open or closed cross-section. The results for shell theory were obtained using FEM and the ABAQUS/Standard program. The bending task of the thin-walled beam was decomposed into the task with a symmetrical and anti-symmetrical loading, so that the bending and torsion of the thin-walled element would be better visible. In order to objectify the comparison, two coefficients characterizing the mutual similarity of functions were introduced: root mean square deviation coefficient determined for the selected cross-section (in relation to the entire contour) and a coefficient determining the maximum relative difference of a given quantity. The comparison was made for both the stress and the displacement state.
Author Cezary Witold Ajdukiewicz (FCE / ICE)
Cezary Witold Ajdukiewicz,,
- The Institute of Civil Engineering
, Marcin Daniel Gajewski (FCE / ICE)
Marcin Daniel Gajewski,,
- The Institute of Civil Engineering
Journal seriesIOP Conference Series: Materials Science and Engineering, ISSN 1757-8981, e-ISSN 1757-899X
Issue year2019
Publication size in sheets0.5
ConferenceXXVIII Russian-Polish-Slovak seminar "Theoretical Foundation of Civil Engineering" (TFoCE 2019), 09-09-2019 - 13-09-2019, Žilina, Słowacja
Languageen angielski
Ajdukiewicz_2019_IOP_Conf._Ser.__Mater._Sci._Eng._661_012005.pdf 802.25 KB
Score (nominal)5
Score sourcejournalList
ScoreMinisterial score = 5.0, 11-02-2020, ArticleFromJournal
Publication indicators Scopus Citations = 0
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