Research Article
Mar 1982
Generalized Stiffness Matrix for Thin Walled Beams
Publication: Journal of the Structural Division
Volume 108, Issue 3
Abstract
Stiffness matrix for a structural member is obtained using the differential equations derived by V.Z. Vlasov. Presence of additional off-diagonal elements over the conventional tridiagonal form is observed. A number example is shown in order to compare the relative magnitudes of elements in the stiffness matrix and some of the new off-diagonal elements are found to be of considerable importance. This stiffness matrix conclusively demonstrates the inter-relationship between the three rotational degrees of freedom. This coupling is found to reduce the value of the critical axial force below all three individual buckling loads, viz: lateral buckling about major and minor axes and torsional buckling. All these effects are attributed to an internal force called as bimoment.
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Published In
Journal of the Structural Division
Volume 108 • Issue 3 • March 1982
Pages: 559 - 577
Copyright
© 1982 American Society of Civil Engineers.
History
Published in print: Mar 1982
Published online: Feb 1, 2021
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Authors
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Anil B. Chaudhary
Research Asst., Civ. Engrg. Dept., Massachusetts Inst. of Tech., Cambridge, Mass.
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