Pure torsion problem in tensor notation
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...
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Format: | Article |
Language: | English |
Published: |
Lublin University of Technology
2019-08-01
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Series: | Budownictwo i Architektura |
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Online Access: | https://ph.pollub.pl/index.php/bia/article/view/223 |
Summary: | 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.
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ISSN: | 1899-0665 2544-3275 |