Consistent derivation of the Timoshenko's beam theory

Structural Engineering and Mechanics

Volumn 7, Issue 5, 1999, Pages 527-532

  Cortinez, Víctor H ^a   Piovan, Marcelo T ^a   Rossi, Raul E ^b  

^a UNIVERSIDAD TECNOLÓGICA NACIONAL   (Argentina)

^b UNIVERSIDAD NACIONAL DEL SUR   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

BEAMS AND GIRDERS; DEFORMATION; ELASTICITY; STRESS ANALYSIS;

REISSNER'S PRINCIPLE; TIMOSHENKO'S BEAM THEORY;

STRUCTURAL ANALYSIS;

EID: 0033132523     PISSN: 12254568     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. Lord Rayleigh, 1845. Theory of Sound, 2, Dover Publication, New York.
2. Timoshenko, S.P. (1921), "On correction for Shear of the differential equations for transverse vibrations of prismatic bars", Philosophical Magazine, Series 6, 41, 744-746.
3. Rossi, R.E., Laura, P.A.A. and Maurizi, M.J. (1992), "Numerical Experiments on the Effect of the value of the shear coefficient upon take natural frequencies of a Timoshenko beam", Journal of Sound and Vibration 154(2), 374-379.
4. Cowper, G.R. (1966), "The shear coefficient in Timoshenko's beam theory". Transactions of the American Society of Mechanical Engineers, Journal of Applied Mechanics 33, 335-340.
5. Subrahmanyan, K.B., Kulkarni, S.V. and Rao, J.S. (1982), "Application of the Reissner Method to derive the coupled bending-torsion equations of dynamic motion of rotating pretwisted cantilevered blading with allowance for shear deflection, rotatory inertia, warping and thermal effects", Journal of Sound and Vibration 84(2), 233-240.
6. Cortinez, V.H. and Rossi, R.E. (1996), "Consideración del efecto de corte en la dinamica de vigas abiertas de paredes delgadas", Mecanica Computacional, XVI (II), 453-462.
7. Cortinez, V.H. and Rossi, R.E. (1998), "Dinámica de Vigas de Seccion Abierta de Pared Delgada Deformables por corte sujetas a un estado inicial de tensiones", (in Spanish) Revista Internacional de Métodos Numéricos para cálcula y diseño en Ingenieria, 14(3), 293-316.
8. Fung, Y.C. (1968), Foundations on Solid Mechanics. Prentice-Hall India Ltd, New Delhi.