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The saint-venant torsion of a cartesian orthotropic bar with an isosceles right-angled triangle cross-section

Ecsedi István, Baksa Attila

Engineering Transactions

2024

Vol. 72, iss. 1

81--94

The Saint-Venant torsion of the Cartesian orthotropic homogeneous linearly elastic bar is considered. The cross-section of the prismatic bar is an isosceles right-angled triangular plane domain. An approximate analytical method is presented to obtain Prandtl’s stress function, shearing stresses, and torsional rigidity. Upper and lower bounds for the torsional rigidity are provided. The obtained results for shearing stresses are verified through FEM computation.

Estimation of the torsional rigidity of orthotropic solid cross section

Ecsedi István, Baksa Attila

Engineering Transactions

2021

Vol. 69, iss. 2

211--221

In this paper, two inequality relations are proven for the torsional rigidity of orthotropic elastic solid cross sections. By using the derived inequality relations, lower and upper bounds can be obtained for the torsional rigidity. All results of the paper follow from the Saint-Venant theory of uniform torsion. The presented bounding formulae are based on the mean value theorem of integral calculus.

Torsion of functionally graded anisotropic linearly elastic circular cylinder

Baksa A., Ecsedi I.

Engineering Transactions

2018

Vol. 66, iss. 4

413--426

The object of this paper is Saint-Venant torsion of functionally graded anisotropic linearly elastic circular cylinder. The class of anisotropy considered has at least one plane of elastic symmetry normal to the axis of the circular cylinder. The elastic coefficients have radial dependence only. Here, we give the solution of Saint-Venant torsion problem for circular cylinder made of functionally graded anisotropic linearly elastic materials.