Theoretical aspects regarding the straight rod with elliptical cross section subjected to torsion

7th Modern Technologies in Industrial Engineering

工业技术（总论）

Glovnea, M.^1 ; Manolache-Rusu, C.^1 ; Suciu, C.^1

Stefan Cel Mare University of Suceava-Romania, Department of Mechanics and Technologies, 13th University Street, Suceava

720229, Romania^1

关键词: Analytical forms;    Elliptical cross section;    Engineering structures;    Machine construction;    Stress functions;    Theoretical aspects;    Torsion problems;    Torsional moment;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/591/1/012048/pdf
DOI  :  10.1088/1757-899X/591/1/012048

学科分类：工业工程学

来源: IOP

【 摘 要 】

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.