Finite Beam Element Considering Shear-Lag Effect in Box Girder
Publication: Journal of Engineering Mechanics
Volume 136, Issue 9
Abstract
A finite-element method considering the interaction of the bending and shear-lag deformation of a box girder was established. Meanwhile a shear-lag-induced stiffness matrix was defined. The stiffness matrices considering the effect of the shear lag were deduced. At each node of the beam element, two shear-lag degrees of freedom were used as boundary conditions for the box girders. The proposed formulations were then applied to analyze the effects of the shear lag on the deflection, the internal forces, and the shear-lag coefficients in the simply supported cantilever and continuous box beams under uniformly distributed and concentrated loads. The numerical results obtained using the proposed procedure were in good agreement with those using the finite-shell-element method, the finite-stringer method, the analytical method based on the variational principle, and the model tests. The proposed method is reliable and more effective for the analysis of the shear lag in the actual box-girder structures.
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References
Chang, S. T. (1992). “Prestress influence on shear-lag effect in continuous box-girder bridge.” J. Struct. Eng., 118(11), 3113–3121.
Chang, S. T. (2004). “Shear-lag effect in simply supported prestressed concrete box-girder.” J. Bridge Eng., 9(2), 178–184.
Chang, S. T., et al. (1998). Shear lag effect of thin-walled box girders, China Communications, Beijing, 21–82.
Chang, S. T., and Yun, D. (1988). “Shear lag effect in box girder with varying depth.” J. Struct. Eng., 114(10), 2280–2292.
Chang, S. T., and Zhang, F. Z. (1987). “Negative shear lag in cantilever box girder with constant depth.” J. Struct. Eng., 113(1), 20–35.
DeFries-Skene, A., and Scordelis, A. C. (1964). “Direct stiffness solution for folded plates.” J. Struct. Div., 90(4), 15–48.
Evans, H. R., and Taherian, A. R. (1977a). “The prediction of the shear lag effect in box girders.” Proc., Institution of Civil Engineers, Part 2, 63, Thomas Telford Services, London, 69–92.
Evans, H. R., and Taherian, A. R. (1977b). “A design aid for shear lag calculations.” Proc., Institution of Civil Engineers, Part 2, 69, Thomas Telford Services, London, 403–424.
Guo, J. Q., et al. (1983). “Analysis of shear lag effect in box girder bridge.” China Civ. Eng. J., 16(1), 1–13.
Kristek, V. (1979). “Folded plate approach to analysis of shear wall systems and frame structures.” Proc., Institution of Civil Engineers, Part 2, 67, Thomas Telford Services, London, 1065–1075.
Kwan, A. K. H. (1996). “Shear lag in shear/core walls.” J. Struct. Eng., 122(9), 1097–1104.
Lee, S. C., Yoo, C. H., and Yoon, D. Y. (2002). “Analysis of shear lag anomaly in box girders.” J. Struct. Eng., 128(11), 1379–1386.
Luo, Q. Z., and Li, Q. S. (2000). “Shear lag of thin-walled curved box girder bridges.” J. Eng. Mech., 126(10), 1111–1114.
Luo, Q. Z., Li, Q. S., and Tang, J. (2002a). “Shear lag in box girder bridges.” J. Bridge Eng., 7(5), 308–313.
Luo, Q. Z., Tang, J., and Li, Q. S. (2002b). “Finite segment method for shear lag analysis of cable-stayed bridges.” J. Struct. Eng., 128(12), 1617–1622.
Moffatt, K. R. (1975). “Discussion of ‘Strength of steel box-girder bridges’ by P. S. Dowling.” J. Struct. Div., 53(6), 1279.
Reissner, E. (1946). “Analysis of shear lag in box beams by the principle of minimum potential energy.” Q. Appl. Math., 5(3), 268–278.
Song, Q., and Scordelis, A. C. (1990). “Formulas for shear-lag effect of T-, I-, and box beams.” J. Struct. Eng., 116(5), 1306–1318.
Taherian, A. R., and Evans, H. R. (1977). “The bar simulation method for the calculation of shear lag in multi-cell and continuous box girders.” Proc., Institution of Civil Engineers, Part 2, 63, Thomas Telford Services, London, 881–897.
Wu, Y. P., et al. (2003). “Matrix analysis of shear lag and shear deformation in thin-walled box beams.” J. Eng. Mech., 129(8), 944–950.
Xie, X., and Huang, J. Y. (1995). “Three dimensional analysis for warping, distortion and shear lag effect of thin-walled box girder bridge under restrained torsion.” China Civ. Eng. J., 28(4), 3–14.
Zhou, S. J. (2008). “Shear lag analysis of box girders.” Eng. Mech., 25(2), 204–208.
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Information
Published In
Journal of Engineering Mechanics
Volume 136 • Issue 9 • September 2010
Pages: 1115 - 1122
Copyright
© 2010 ASCE.
History
Received: Jul 11, 2008
Accepted: Feb 26, 2010
Published online: Feb 27, 2010
Published in print: Sep 2010
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