Theoretical aspects regarding the straight rod with elliptical cross section subjected to torsion
Abstract
Many engineering structures such as beams, shafts or thin-walled tubular rods are subject to twisting stress. Torsion of cylindrical and prismatic rods of various cross-section is of great practical utility and technical importance in engineering, structural design and mechanical work. Machine construction, steel bridges, ship buildings and brake systems are just some of the main areas of application. Calculation of the shear stress distribution due to a torsional moment is a complicated problem. Although several solutions have been formulated over time, only a few have analytical forms. In many situations the torsion problem was solved numerically using 2-dimensional Finite Element method. In the present paper, equations for the stress function and the torsional moment (Prantl’s formula) are established for the considered geometry.
- Publication:
-
Materials Science and Engineering Conference Series
- Pub Date:
- August 2019
- DOI:
- 10.1088/1757-899X/591/1/012048
- Bibcode:
- 2019MS&E..591a2048G