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

2014/02/12 by Dell' Isola, F., Luigi Rosa, Rosa, L.
Engineering · #Composite Structure Analysis and Optimization #Elasticity and Material Modeling #Structural Analysis and Optimization

paper · doi:10.24423/aom.1365

openalex publication_date 2014/02/12 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/01

Abstract

We extend the perturbative procedure developed in [7] to the case of Saint Venant Cylinders with sections 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 cases of open sections of triangular shape [17] and of the closed section studied using numerical methods by WANG [18].

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