Pure torsion problem in tensor notation

Sławomir Karaś
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.
doi:10.24358/bud-arch_19_181_06 fatcat:45v5wld5ujeclar2phpy2glgxy