TORSION OF RESTRAINED THIN-WALLED BARS OF OPEN CONSTANT BISYMMETRIC CROSS-SECTION
Abstract
Elastic and geometric stiffness matrices were derived using Castigliano’s first theorem, for the case of torsion of restrained thin-walled bars of open constant bisymmetric crosssection. Functions which describe the angles of torsion were adopted from the solutions of the differential equation for restrained torsion. The exact solutions were simplified by expanding them in a power series. Numerical examples were taken from Kujawa M 2009 Static and Sensitivity Analysis of Grids. . . 97, GUT Publishing House, and Szymczak C 1978 Engineering Transaction 26 323. Convergence of the solutions was analyzed using the matrices derived for torsion angles, warping, bimoments and critical forces.
Keywords:
thin-walled bars, elastic stiffness matrix, geometric stiffness matrix, restrained torsion, Castigliano’s method, torsional bucklingDetails
- Issue
- Vol. 16 No. 1-2 (2012)
- Section
- Research article
- Published
- 2012-06-30
- Licencja:
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This work is licensed under a Creative Commons Attribution 4.0 International License.
