Open AccessModeling of stress and strain states induced by torsion of straight rods with elliptical cross sections
Author(s) -
Marilena Glovnea,
Ioan-Cozmin Manolache-Rusu,
Cornel Suciu
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/591/1/012047
Subject(s) - torsion (gastropod) , rod , structural engineering , deflection (physics) , torsion spring , torsion constant , stress–strain curve , finite element method , materials science , mathematics , physics , classical mechanics , engineering , medicine , alternative medicine , pathology , surgery
Torsion of bars of various cross-section is of great practical utility in engineering, structural design and mechanical work. It is applied in machine construction, steel bridge or railway construction. Many publications can be found in literature that present the stress-strain analysis in the case of straight rods with constant profiles subjected to torsion. Most of these works were however directed to the case of rods with simple connected domains as cross sections. The present work uses a semi-inverse method which permits to determine general equations for stress-strain analysis in the case of rods having a multiple connected domain as cross section, subjected to torsion. For the present study, the general equations were customized for two particular cases that of an elliptical cross section and that of an elliptical ring.The determined analytical equations were implemented to a specific situation by aid of Mathcad software. This permitted to graphically represent the distribution of torsion stresses and cross-section deflection.