Pure torsion problem in tensor notation
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Abstract
The paper examines the application of the tensor calculus to the classic problem of the pure torsion of prismatic rods. The introduction contains a short description of the reference frames, base vectors, contravariant and covariant vector coordinates when applying the Einstein summation convention. Torsion formulas were derived according to Coulomb’s and Saint-Venant’s theories, while, as a link between the theories, so-called Navier’s error was discussed. Groups of the elasticity theory equations were used.
Keywords:
pure torsion, tensor calculus, covariant/contravariant basses, vector components
Article Details
Karaś, S. (2019) “Pure torsion problem in tensor notation”, Budownictwo i Architektura, 18(1), pp. 057–069. doi: 10.24358/Bud-Arch_19_181_06.