Outlooks in Saint Venant theory Part II. Torsional rigidity, shear-stress "and all that" in the torsion of cylinders with section of variable thickness

Francesco Dell'Isola (1, 2) , Luigi Rosa (3)

1 Dipartimento di Ingegneria Strutturale e Geotecnica
2 Laboratorio Strutture e Materiali Intelligenti - Fondazione Tullio Levi-Civita
3 Dipartimento di Scienze Fisiche [Naples]

We extend the perturbative procedure developed in [7] to the case of Saint Venant Cylinders with section of variable thickness. In this way we are able to generalize the Kelvin and Bredt formulas for torsional rigidity of open and closed sections, respectively. We recover all the results available in technical literature. In particular we deduce an explicit analytical expression for warping function in the case of open sections of triangular shape [17] and of the closed section studied using numerical methods by Wang [18]

Domaines: Mécanique [physics.med-ph]

Francesco Dell'Isola, Luigi Rosa. Outlooks in Saint Venant theory Part II. Torsional rigidity, shear-stress "and all that" in the torsion of cylinders with section of variable thickness. Archives of Mechanics, 1996, pp.11. ⟨hal-00499403⟩