Lateral-torsional buckling of beams of monosymmetrical cross-sections loaded perpendicularly to the axis of symmetry: Theoretical analysis

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F17%3APU124702" target="_blank" >RIV/00216305:26110/17:PU124702 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1002/cepa.149" target="_blank" >http://dx.doi.org/10.1002/cepa.149</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/cepa.149" target="_blank" >10.1002/cepa.149</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Lateral-torsional buckling of beams of monosymmetrical cross-sections loaded perpendicularly to the axis of symmetry: Theoretical analysis

Popis výsledku v původním jazyce

Determination of the critical moment is a crucial step of the process of assessment of the buckling resistance of a metal beam with no intermediate restraints between supports. The critical moment of an ideal beam depends, among others, on support conditions and variation of the bending moment along the span of the beam. It can be found as a solution of the eigenvalue problem of differential equations of bending. This complex procedure can generally provide a formula for the calculation of the critical moment with certain coefficients varying depending on the variation of the bending moment along the span and support conditions of the beam. The formula for the critical moment and numerical values of the coefficients taking into account the type of supports and variation of the bending moment for some common cases can be found in literature. The paper focuses on process of derivation of the formula for calculation of the elastic critical moment of beams of double symmetrical and monosymmetrical cross-sections (channels) loaded perpendicularly to the plane of symmetry. Based on classical Vlasov’s theory and variational method, a formula for the elastic critical moment of beams of double symmetrical cross-sections and channels loaded perpendicularly to the plane of symmetry and coefficients for not only simple cases of loads but also selected special cases are derived using mathematical methods and presented in the paper. Numerical values of the above mentioned coefficients are summarized in tables and charts.

Název v anglickém jazyce

Lateral-torsional buckling of beams of monosymmetrical cross-sections loaded perpendicularly to the axis of symmetry: Theoretical analysis

Popis výsledku anglicky

Determination of the critical moment is a crucial step of the process of assessment of the buckling resistance of a metal beam with no intermediate restraints between supports. The critical moment of an ideal beam depends, among others, on support conditions and variation of the bending moment along the span of the beam. It can be found as a solution of the eigenvalue problem of differential equations of bending. This complex procedure can generally provide a formula for the calculation of the critical moment with certain coefficients varying depending on the variation of the bending moment along the span and support conditions of the beam. The formula for the critical moment and numerical values of the coefficients taking into account the type of supports and variation of the bending moment for some common cases can be found in literature. The paper focuses on process of derivation of the formula for calculation of the elastic critical moment of beams of double symmetrical and monosymmetrical cross-sections (channels) loaded perpendicularly to the plane of symmetry. Based on classical Vlasov’s theory and variational method, a formula for the elastic critical moment of beams of double symmetrical cross-sections and channels loaded perpendicularly to the plane of symmetry and coefficients for not only simple cases of loads but also selected special cases are derived using mathematical methods and presented in the paper. Numerical values of the above mentioned coefficients are summarized in tables and charts.

Druh

J_ost - Ostatní články v recenzovaných periodicích

CEP obor

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OECD FORD obor

20102 - Construction engineering, Municipal and structural engineering

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

ce/papers

ISSN

2509-7075

e-ISSN

—

Svazek periodika

1

Číslo periodika v rámci svazku

2-3

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

10

Strana od-do

1086-1095

Kód UT WoS článku

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EID výsledku v databázi Scopus

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