TECHNICAL PAPERS
Apr 1, 1991

Anisoparametric Interpolation in Hybrid‐Stress Timoshenko Beam Element

Publication: Journal of Structural Engineering
Volume 117, Issue 4

Abstract

A hybrid‐stress Timoshenko beam element with consistent mass and geometric stiffness matrices is presented. It is demonstrated that the use of the hybrid‐stress model removes the necessity for a finite element shear‐correction factor, which can be determined through a deflection‐matching analysis at the formulation stage of two‐node anisoparametric displacement model elements. The element is assessed by static, dynamic, and stability test problems.

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References

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Archer, J. S. (1965). “Consistent matrix formulations for structural analysis using finite element techniques.” AIAA J., 3, 1910–1918.
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Cowper, G. R. (1966). “The shear coefficient in Timoshenko's beam theory.” J. Appl. Mech., 33, 335–340.
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Huang, T. C. (1961). “The effect of rotatory inertia and of shear deformation on the frequency and normal mode equations of uniform beams with simple end conditions.” J. Appl. Mech., 28, 579–584.
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Pian, T. H. H. (1964). “Derivation of element stiffness matrices by assumed stress distributions.” AIAA J., 2, 1333–1336.
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Tessler, A., and Dong, S. B. (1981). “On a hierarchy of conforming Timoshenko beam elements.” Comput. Struct., 14, 335–344.
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Tessler, A., and Hughes, T. J. R. (1983). “An improved treatment of transverse shear in the Mindlin‐type four‐node quadrilateral element.” Comput. Meth. Appl. Mech. Engrg., 39, 311–335.
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Tessler, A., and Hughes, T. J. R. (1985). “A three‐node Mindlin plate element with improved transverse shear.” Comput. Meth. Appl. Mech. Engrg., 50, 71–101.
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Timoshenko, S. P. (1922). “On the transverse vibrations of bars of uniform crosssection.” Phil. Mag., 43, 125–131.
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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 117Issue 4April 1991
Pages: 1070 - 1078

History

Published online: Apr 1, 1991
Published in print: Apr 1991

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Authors

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Suha Oral
Asst. Prof., Mech. Engrg. Dept., Middle East Tech. Univ., 06531 Ankara, Turkey

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