TECHNICAL PAPERS
Jul 1, 1991

Analog‐Beam Method for Determining Shear‐Lag Effects

Publication: Journal of Engineering Mechanics
Volume 117, Issue 7

Abstract

A method of analysis for beams with shear‐lag effects from wide flanges or with shear deformations resulting from shear studs in composite beams is presented. The basic idea is to replace the real beam with an analog beam, where all the shear deformation is concentrated in a thin layer. The equivalent stiffness of the shear layer can be related to the properties of the flange and the shear studs connecting the beam and the slab. When this stiffness is assigned to shear layer, the real beam and its analog behave in the same overall manner. The solution to the analog beam problem is directly related to the deformation and stresses in the real beam through simple formulas. The method is more complicated, but also more accurate than the customary effective width method, and could prove a good tool for design purposes.

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References

1.
Kuhn, P. (1938). “Bending stresses in box beams as influenced by shear deformations.” S.A.E. Journal Trans., 43(2), 319.
2.
Miller, A. (1929). “Über die mittragende Breite.” Luftfarhtforschung, 4(1) (in German).
3.
Reissner, E. (1946). “Analysis of shear lag in box beams by the principle of minimum potential energy.” Q. Appl. Math., 4(3), 268.
4.
Timoshenko, S. P. (1921). “On the correction for shear of the differential equation of transverse vibrations of prismatic bars.” Philos. Mag., 21(6), 747.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 117Issue 7July 1991
Pages: 1575 - 1594

History

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

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Authors

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Atle Gjelsvik, Member, ASCE
Prof., Dept. of Civ. Engrg. and Engrg. Mech., Columbia Univ., New York, NY 10027

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