Lateral Torsional Buckling of Steel Thin-Walled Beams with Lateral Restraints
Metal thin-walled members have been widely used in
building industry. Usually they are utilized as purlins, girts or ceiling
beams. Due to slenderness of thin-walled cross-sections these
structural members are prone to stability problems (e.g. flexural
buckling, lateral torsional buckling). If buckling is not
constructionally prevented their resistance is limited by buckling
strength. In practice planar members of roof or wall cladding can be
attached to thin-walled members. These elements reduce
displacement of thin-walled members and therefore increase their
buckling strength. If this effect is taken into static assessment more
economical sections of thin-walled members might be utilized and
certain savings of material might be achieved. This paper focuses on
problem of determination of critical load of steel thin-walled beams
with lateral continuous restraint which is crucial for lateral torsional
buckling assessment.
[1] V. Březina, Buckling Resistance of Metal Bars and Beams (Vzpěrná
únosnost kovových prutů a nosníků). Prague: State Publishing of
Technical Literature, 1962.
[2] V. Z. Vlasov, Thin-Walled Elastic Bars (Tenkostěnné pružné pruty).
Prague: Czechoslovak Academy of Sciences Publishing, 1962.
[3] ČSN EN 1993-1-1, Eurocode 3: Design of Steel Structures – Part 1-1:
General Rules and Rules for Buildings (Eurokód 3: Navrhování
ocelových konstrukcí – Část 1-1: Obecná pravidla a pravidla pro
pozemní stavby). Prague: Czech Standard Institute, 2006.
[4] A. Rattana and C. Böckmann, “Matrix methods for computing
eigenvalues of Sturm-Liouville problems of order four,” Journal of
Computational and Applied Mathematics, vol. 249, pp. 144–156, 2013.
[5] ANSYS® Academic Research, Release 14.0.
[6] G. Sedlacek and J. Naumes, Excerpt from the Background Document to
EN 1993-1-1: Flexural buckling and lateral buckling on a common
basis: Stability assessments according to Eurocode 3. Aachen: Institut
und Lehrstuhl für Stahlbau und Leichtmetallbau, 2008.
[7] R. Kindmann and J. Laumann, “Determination of eigenvalues and modal
shapes for members and frames (Ermittlung von Eigenwerten für Stäbe
und Stabwerke),” Stahlbau, vol. 73, pp. 26–36, 2004.
[8] V. Vondrák and V. Pospíšil, Numerical methods I (Numerické metody I).
http://mi21.vsb.cz/sites/mi21.vsb.cz/files/unit/numericke_metody.pdf.
[9] A. Bjorck, “Numerics of Gram-Schmidt orthogonalization,” Linear
Algebra and its Applications, vol. 197-198, pp. 297–316, 1994.
[1] V. Březina, Buckling Resistance of Metal Bars and Beams (Vzpěrná
únosnost kovových prutů a nosníků). Prague: State Publishing of
Technical Literature, 1962.
[2] V. Z. Vlasov, Thin-Walled Elastic Bars (Tenkostěnné pružné pruty).
Prague: Czechoslovak Academy of Sciences Publishing, 1962.
[3] ČSN EN 1993-1-1, Eurocode 3: Design of Steel Structures – Part 1-1:
General Rules and Rules for Buildings (Eurokód 3: Navrhování
ocelových konstrukcí – Část 1-1: Obecná pravidla a pravidla pro
pozemní stavby). Prague: Czech Standard Institute, 2006.
[4] A. Rattana and C. Böckmann, “Matrix methods for computing
eigenvalues of Sturm-Liouville problems of order four,” Journal of
Computational and Applied Mathematics, vol. 249, pp. 144–156, 2013.
[5] ANSYS® Academic Research, Release 14.0.
[6] G. Sedlacek and J. Naumes, Excerpt from the Background Document to
EN 1993-1-1: Flexural buckling and lateral buckling on a common
basis: Stability assessments according to Eurocode 3. Aachen: Institut
und Lehrstuhl für Stahlbau und Leichtmetallbau, 2008.
[7] R. Kindmann and J. Laumann, “Determination of eigenvalues and modal
shapes for members and frames (Ermittlung von Eigenwerten für Stäbe
und Stabwerke),” Stahlbau, vol. 73, pp. 26–36, 2004.
[8] V. Vondrák and V. Pospíšil, Numerical methods I (Numerické metody I).
http://mi21.vsb.cz/sites/mi21.vsb.cz/files/unit/numericke_metody.pdf.
[9] A. Bjorck, “Numerics of Gram-Schmidt orthogonalization,” Linear
Algebra and its Applications, vol. 197-198, pp. 297–316, 1994.
@article{"International Journal of Architectural, Civil and Construction Sciences:70215", author = "Ivan Balázs and Jindřich Melcher", title = "Lateral Torsional Buckling of Steel Thin-Walled Beams with Lateral Restraints", abstract = "Metal thin-walled members have been widely used in
building industry. Usually they are utilized as purlins, girts or ceiling
beams. Due to slenderness of thin-walled cross-sections these
structural members are prone to stability problems (e.g. flexural
buckling, lateral torsional buckling). If buckling is not
constructionally prevented their resistance is limited by buckling
strength. In practice planar members of roof or wall cladding can be
attached to thin-walled members. These elements reduce
displacement of thin-walled members and therefore increase their
buckling strength. If this effect is taken into static assessment more
economical sections of thin-walled members might be utilized and
certain savings of material might be achieved. This paper focuses on
problem of determination of critical load of steel thin-walled beams
with lateral continuous restraint which is crucial for lateral torsional
buckling assessment.", keywords = "Beam, buckling, numerical analysis, stability, steel.", volume = "9", number = "6", pages = "730-6", }