The general variational principle of the cantilever beam of circular cross section including transverse shear deformation

1984 ◽  
Vol 5 (5) ◽  
pp. 1721-1726
Author(s):  
Li Jia-ren ◽  
Zhang Shen-xue
Keyword(s):  
Variational Principle ◽  
Shear Deformation ◽  
Cantilever Beam ◽  
Cross Section ◽  
Transverse Shear ◽  
Circular Cross Section ◽  
Transverse Shear Deformation

Shear Deformation in Beams on Elastic Foundations

1962 ◽  
Vol 29 (2) ◽  
pp. 313-317 ◽  
Author(s):  
F. Essenburg
Keyword(s):  
Shear Deformation ◽  
Elastic Foundation ◽  
Cross Section ◽  
Transverse Shear ◽  
Elastic Beam ◽  
Practical Significance ◽  
Transverse Shear Deformation ◽  
Concentrated Load ◽  
Infinite Beam ◽  
Concentrated Couple

The importance of the effect of transverse shear deformation in the flexure of an elastic beam of symmetric cross section, constrained by a Winkler-type elastic foundation, is found to depend upon both the elastic properties of the beam and the foundation and the geometry of the beam cross section. Under certain conditions the form of the solution is substantially altered and the periodic character predicted by the classical treatment is not present. The practical significance of these modifications is illustrated by means of the specific examples of an infinite beam under concentrated load and an infinite beam under concentrated couple.

Whirling of Composite-Material Driveshafts Including Bending-Twisting Coupling and Transverse Shear Deformation

1993 ◽  
Author(s):  
Charles W. Bert ◽  
Chun-Do Kim
Keyword(s):  
Composite Material ◽  
Shear Deformation ◽  
Timoshenko Beam ◽  
Transverse Shear ◽  
Critical Speed ◽  
Numerical Results ◽  
Transverse Shear Deformation ◽  
First Order ◽  
Shear Deformable

Abstract A simplified theory for predicting the first-order critical speed of a shear deformable, composite-material driveshaft is presented. The shaft is modeled as a Bresse-Timoshenko beam generalized to include bending-twisting coupling. Numerical results are compared with those for both thin and thick walled shell theories and generalized Bernoulli-Euler theory.

Sign in / Sign up

Export Citation Format

Share Document