A new method for computing the deformation of thin-walled beams with closed cross-section under warping torsional loading is presented. In comparison to the classical theory (Umanski), the hypothesis of no deformation of the contour of the cross-section of the beam is maintained and the assumption o
Study of warping torsion of thin-walled beams with open cross-section using macro-elements
โ Scribed by Sorin D. Musat; Bogdan I. Epureanu
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 141 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0029-5981
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โฆ Synopsis
Thin-walled beams with open cross-section under torsion or complex load are studied based on the hypotheses of the classical theory (Vlasov). Di erent from previous techniques presented in the literature, the concept of a strip-plate is introduced. This concept is used to accurately model the e ect of bending induced by torsion and to deรฟne an alternate รฟnite element called macro-element. The macro-elements are shown to model more accurately the thin-walled beams under warping torsion or complex load therefore giving better results than the classical theory.
๐ SIMILAR VOLUMES
An analytical method for determining natural frequencies and mode shapes of the torsional vibration of continuous beams with thin-walled cross-section is developed by using a general solution of the di!erential equation of motion based on Vlasov's beam theory. This method takes into account the e!ec
A so-called exact static stiffness matrix for a uniform beam element with open thin-walled cross-section carrying an axial compressive load is derived. This stiffness matrix is useful in an accurate calculation of bifurcation loads and corresponding buckling modes of space frames built up of such be