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A platform for research: civil engineering, architecture and urbanism
05.08: Lateral‐torsional buckling of beams of monosymmetrical cross‐sections loaded perpendicularly to the axis of symmetry: Theoretical analysis
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.
05.08: Lateral‐torsional buckling of beams of monosymmetrical cross‐sections loaded perpendicularly to the axis of symmetry: Theoretical analysis
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.
05.08: Lateral‐torsional buckling of beams of monosymmetrical cross‐sections loaded perpendicularly to the axis of symmetry: Theoretical analysis
Balázs, Ivan (author) / Melcher, Jindřich (author)
ce/papers ; 1 ; 1086-1095
2017-09-01
10 pages
Article (Journal)
Electronic Resource
English
LATERAL TORSIONAL BUCKLING OF CHANNEL SECTIONS LOADED IN BENDING
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