Volume no :25, Issue no: 1, August (2022)

BOUNDS FOR THE TORSIONAL RIGIDITY OF CYLINDRICALLY ANISOTROPIC BARS

Author's: István Ecsedi and Ákos József Lengyel
Pages: [49] - [60]
Received Date: August 4, 2022
Submitted by:
DOI: http://dx.doi.org/10.18642/jpamaa_7100122258

Abstract

Bounds for the torsional rigidity of cylindrically anisotropic bars with one plane of elastic symmetry perpendicular to the axis of bar are derived making of use the two minimum theorems of elasticity. All results of the paper are based on the theory of uniform torsion which was developed by Saint-Venant and Prandtl. Illustrative example shows that the one term approximation leads to relative close bounds.

Keywords

Saint-Venant torsion, cylindrically anisotropic, torsional rigidity, lower and upper bounds.