Flexural–torsional buckling of open section composite columns with shear deformation

• Published in: International journal of solids and structures Vol. 38; no. 42; pp. 7525 - 7541
• Main Author: KOLLAR, Laszlo P
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.10.2001; Elsevier Science
• Subjects: Beam; Buckling; Composite; Exact sciences and technology; Flexural–torsional; Fundamental areas of phenomenology (including applications); Physics; Shear deformation; Solid mechanics; Static buckling and instability; Structural and continuum mechanics; Torsion; Beam; Composite; Flexural–torsional; Buckling; Torsion; Shear deformation; Axial stress; Stiffness matrix; Vlasov theory; I beam; Closed form equation; Orthotropic structure; Composite material; Orthotropic material; Column; Critical load; Axial load; Thin walled beam
• ISSN: 0020-7683; 1879-2146
• DOI: 10.1016/S0020-7683(01)00024-5

The paper presents the stability analysis of axially loaded, thin-walled open section, orthotropic composite columns. Vlasov's classical theory is modified to include both the transverse (flexural) shear and the restrained warping induced shear deformations. In addition to the bending stiffness matrix a (3×3) shear stiffness matrix is introduced. A closed form solution is derived for the flexural–torsional buckling load of composite columns. A simplified, approximate solution is also presented, in which the effect of the shear deformations is included using Föppl's theorem.