Standard Article

Torsion of Bars and Bending of Beams

Structural Technology

Structural Mechanics

  1. C.T. Sun

Published Online: 15 DEC 2010

DOI: 10.1002/9780470686652.eae140

Encyclopedia of Aerospace Engineering

Encyclopedia of Aerospace Engineering

How to Cite

Sun, C. 2010. Torsion of Bars and Bending of Beams. Encyclopedia of Aerospace Engineering. .

Author Information

  1. Purdue University, School of Aeronautics and Astronautics, West Lafayette, IN, USA

Publication History

  1. Published Online: 15 DEC 2010


Governing equations including derivations for structural members under torsion and bending are presented. The emphasis is placed on thin-walled structures. The formulation for torsion problems is based on the Saint-Venant torsion displacement assumption and solutions are obtained using the Prandtl stress function. Bi-directional bending of beams is considered. Methods for calculating shear flows produced by combined bending and torsion loads are presented. The concept of shear center is discussed.


  • torsion;
  • bar;
  • shear flow;
  • angle of twist;
  • torsion constant;
  • bending;
  • beams;
  • moment;
  • neutral plane;
  • shear center