0
BRIEF NOTES

On the Quest for the Best Timoshenko Shear Coefficient

[+] Author and Article Information
M. B. Rubin

Faculty of Mechanical Engineering, Technion–Israel Institute of Technology, 32000 Haifa, Israel e-mail: mbrubin@tx.technion.ac.il

J. Appl. Mech 70(1), 154-157 (Jan 23, 2003) (4 pages) doi:10.1115/1.1526122 History: Received March 03, 2002; Revised July 26, 2002; Online January 23, 2003
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.

References

Timoshenko,  S. P., 1921, “On the Corrections for Shear of the Differential Equation for Transverse Vibrations of Prismatic Bars,” Philos. Mag., 41, pp. 744–746.
Timoshenko,  S. P., 1922, “On the Transverse Vibrations of Bars of Uniform Cross Section,” Philos. Mag., 43, pp. 125–131.
Kaneko,  T., 1975, “On Timoshenko’s Correction for Shear in Vibrating Beams,” J. Phys. D, 8, pp. 1927–1936.
Hutchinson,  J. R., 2001, “Shear Coefficients for Timoshenko Beam Theory,” ASME J. Appl. Mech., 68, pp. 87–92.
Hutchinson,  J. R., 2001, closure to “On Shear Coefficients for Timoshenko Beam Theory,” ASME J. Appl. Mech., 68, pp. 960–961.
Stephen,  N. G., 2001, discussion of “Shear Coefficients for Timoshenko Beam Theory,” ASME J. Appl. Mech., 68, pp. 959–960.
Green,  A. E., Naghdi,  P. M., and Wenner,  M. L., 1974, “On the Theory of Rods—I. Derivation From the Three-Dimensional Equations,” Proc. R. Soc. London, Ser. A, 337, pp. 451–483.
Green,  A. E., Naghdi,  P. M., and Wenner,  M. L., 1974, “On the Theory of Rods—II. Developments by Direct Approach,” Proc. R. Soc. London, Ser. A, 337, pp. 451–483.
Naghdi,  P. M., and Rubin,  M. B., 1984, “Constrained Theories of Rods,” J. Elast., 14, pp. 343–361.
Rubin,  M. B., 1996, “Restrictions on Nonlinear Constitutive Equations for Elastic Rods,” J. Elast., 44, pp. 9–36.
Rubin, M. B., 2000, Cosserat Theories: Shells, Rods and Points (Solid Mechanics and its Applications), 79 , Kluwer, The Netherlands.
Cowper,  G. R., 1966, “The Shear Coefficient in Timoshenko’s Beam Theory,” ASME J. Appl. Mech., 33, pp. 335–340.
Rubin, M. B., 2001, “A Simple Derivation of Cosserat Theories of Shells, Rods and Points,” Advances in the Mechanics of Plates and Shells (The Avinoam Libai Anniversary Volume, Solid Mechanics and Its Applications), 88 , Kluwer, Dordrecht, pp. 277–294.
O’Reilly,  O. M., 1998, “On Constitutive Relations for Elastic Rods,” Int. J. Solids Struct., 35, pp. 1009–1024.
Rubin,  M. B., 1986, “Free Vibration of a Rectangular Parallelepiped Using the Theory of a Cosserat Point,” ASME J. Appl. Mech., 53, pp. 45–50.

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In