TECHNICAL PAPERS
Dec 1, 1985

Nonuniform Bending‐Stress Distribution (Shear Lag)

Publication: Journal of Structural Engineering
Volume 111, Issue 12

Abstract

Nonuniform normal longitudinal stress distribution in a trapezoidal box beam with lateral cantilever is discussed. The problem is solved by the variational method assuming as unknown the displacement of the beam axis and three functions which describe the warping of the horizontal flanges; the unknowns are reduced in case of vertical walls. The state of stress of stress in each structural element is analyzed and an example is given to illustrate the results.

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References

1.
Arnold, V., “Equation Differentielles Ordinaires,” Mir, Moscou, 1974.
2.
Baldascino, B., Dezi, L., and Mentrasti, L., discussion of “A Shear Lag Anomaly,” Nota Tecnica n. 49 I.S.T.C., Universitá di Ancona, Italy, 1983.
3.
Dezi, L., and Mentrasti, L., “Alcune Considerazioni Sulĺ Effetto Shear Lag Nelle Travi a Cassone in Parete Sottile,” Giornale del Genio Civile, n. 7‐8‐9, 1984, pp. 253–262.
4.
Fauchart, J., discussion of “Shear Lag in Box Girders,” by B. O. Kuzmanovic and H. T. Graham, Journal of Structural Engineering, ASCE, Vol. 109, No. 1, 1983, pp. 192–193.
5.
Foutch, D. A., and Chans, P. C., “A Shear Lag Anomaly,” Journal of the Structural Division, ASCE, Vol. 108, No. ST7, July, 1982, pp. 1653–1658.
6.
Gelfand, I. M., and Fomin, S. V., Calculus of Variations, Prentice Hall, 1963.
7.
Kuzmanović, B. O., and Graham, H. J., “Shear Lag in Box Girders,” Journal of the Structural Division, ASCE, Vol. 107, No. ST9, Sept., 1981, pp. 1701–1712.
8.
Massonet, C. E., “A New Approach (Including Shear Lag) to Elementary Mechanics of Materials,” International Journal of Solids and Structures, Vol. 19, No. 1, 1983, pp. 33–54.
9.
Moffat, K. R., and Dowling, P. J., “Shear Lag in Steel Box Girder Bridges,” The Structural Engineer, Oct., 1975, No. 10, Vol. 53, pp. 439–448
(see also discussion, Vol. 54, No. 8, Aug., 1976, pp. 285–298).
10.
Reissner, E., “Analysis of Shear Lag in Box Beams by the Principle of the Minimum Potential Energy,” Quarterly of Applied Mathematics, Vol. 4, No. 3, Oct., 1946, pp. 268–278.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 111Issue 12December 1985
Pages: 2675 - 2690

History

Published online: Dec 1, 1985
Published in print: Dec 1985

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Authors

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Luigino Dezi
Research Asst., Istituto di Scienza e Tecnica delle Costruzioni, Università degli Studi di Ancona, Via della Montagnola 30, 60100 Artcona, Italia
Lando Mentrasti
Research Asst., Istituto di Scienza e Tecnica delle Costruzioni, Università degli Studi di Ancona, Via della Montagnola 30, 60100 Ancona, Italia

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