Shear stresses in prismatic beams with arbitrary cross-sections

✍ Scribed by F. Gruttmann; R. Sauer; W. Wagner

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 468 KB
• Volume: 45
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/(sici)1097-0207(19990710)45:7<865::aid-nme609>3.0.co;2-3

✦ Synopsis

In this paper the approximate computation of shear stresses in prismatic beams due to Saint-Venant torsion and bending using the ÿnite element method is investigated. The shape of the considered cross-sections may be arbitrary. Furthermore, the basic co-ordinate system lies arbitrarily to the centroid, and not necessarily in principal directions. For numerical reasons Dirichlet boundary conditions of the exure problem are transformed into Neumann boundary conditions introducing a conjugate stress function. Based on the weak formulation of the boundary value problem isoparametric ÿnite elements are formulated. The developed procedure yields the relevant warping and torsion constants.