On the quest for the best Timoshenko shear coefficient

Journal of Applied Mechanics, Transactions ASME

Volumn 70, Issue 1, 2003, Pages 154-157

  Rubin, M B ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

BEAMS AND GIRDERS; BOUNDARY VALUE PROBLEMS; COMPUTATIONAL METHODS; NATURAL FREQUENCIES; VIBRATIONS (MECHANICAL);

TIMOSHENKO SHEAR COEFFICIENT;

SHEAR DEFORMATION;

EID: 0037233519     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1526122     Document Type: Conference Paper

References (15)

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2. Timoshenko, S. P., 1922, "On the Transverse Vibrations of Bars of Uniform Cross Section," Philos. Mag., 43, pp. 125-131.
3. Kaneko, T., 1975, "On Timoshenko's Correction for Shear in Vibrating Beams," J. Phys. D, 8, pp. 1927-1936.
4. Hutchinson, J. R., 2001, "Shear Coefficients for Timoshenko Beam Theory," ASME J. Appl. Mech., 68, pp. 87-92.
5. Hutchinson, J. R., 2001, closure to "On Shear Coefficients for Timoshenko Beam Theory," ASME J. Appl. Mech., 68, pp. 960-961.
6. Stephen, N. G., 2001, discussion of "Shear Coefficients for Timoshenko Beam Theory," ASME J. Appl. Mech., 68, pp. 959-960.
7. 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.
8. 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.
9. Naghdi, P. M., and Rubin, M. B., 1984, "Constrained Theories of Rods," J. Elast., 14, pp. 343-361.
10. Rubin, M. B., 1996, "Restrictions on Nonlinear Constitutive Equations for Elastic Rods," J. Elast., 44, pp. 9-36.
11. Rubin, M. B., 2000, Cosserat Theories: Shells, Rods and Points (Solid Mechanics and its Applications), 79, Kluwer, The Netherlands.
12. Cowper, G. R., 1966, "The Shear Coefficient in Timoshenko's Beam Theory," ASME J. Appl. Mech., 33, pp. 335-340.
13. 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.
14. O'Reilly, O. M., 1998, "On Constitutive Relations for Elastic Rods," Int. J. Solids Struct., 35, pp. 1009-1024.
15. 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.