Linear Redundancy Analysis Method Considering Plastic Region for Steel Truss Bridges
Publication: Journal of Bridge Engineering
Volume 22, Issue 3
Abstract
This paper describes a linear redundancy analysis procedure to identify fracture critical members in steel truss bridges by considering progressive collapse analysis that propagates damage from the initially fractured member to other members. The conventional linear approach assesses structural robustness by checking the strength of every single member through linear equations of member strength for all types of cross sections. However, results are more accurate if member strength is assessed with a nonlinear curve rather than a single linear equation. This paper presents a new linear redundancy analysis method that uses a more accurate nonlinear equation for member strength that accounts for the effect of the plastic region before the cross section has completely yielded. The proposed method can be applied to steel truss bridges with typical sections, such as I-shaped, H-shaped, and box-shaped cross sections. A nonlinear redundancy analysis of a typical steel truss bridge was conducted to validate the proposed criteria. The results of the proposed method were found to be consistent with the results of the nonlinear redundancy method, which is well known as a highly accurate approach.
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References
AISC. (1999). Load and resistance factor design specification for structural steel buildings, Chicago.
Austin, W. J. (1961). “Strength and design of metal beam-columns.” J. Struct. Div., 87(4), 1–32.
Chen, W. F., and Atsuta, T. (1972). “Interaction equations for biaxially loaded sections.” J. Struct. Div., 98(5), 1035–1052.
DelGrego, M. R., Culmo, M. P., and DeWolf, J. T. (2008). “Performance evaluation through field testing of century-old railroad truss bridge.” J. Bridge Eng., 132–138.
DIANA 9.4.4 [Computer software]. DIANA FEA, Delft, Netherlands.
Duan, L., and Chen, W. F. (1989). “Design interaction equation for steel beam-columns.” J. Struct. Eng., 1225–1243.
Duan, L., and Chen, W. F. (1990). “A yield surface equation for doubly symmetrical sections.” Eng. Struct., 12(2), 114–119.
Galambos, T. V. (1998). Guide to stability design criteria for metal structures, John Wiley and Sons, New York.
Ghosn, M., and Moses, F. (1998). “Redundancy in highway bridge superstructures.” NCHRP Rep. 406, Transportation Research Board, Washington, DC.
Ghosn, M., and Yang, J. (2014). “Bridge system safety and redundancy.” NCHRP Rep. 776, Transportation Research Board, Washington, DC.
Goto, Y., Kawanishi, N., and Honda, I. (2010). “Dynamic stress amplification caused by sudden failure of tension members in steel truss bridges.” J. Struct. Eng., 850–861.
Japan Road Association. (2002). Specifications for highway bridges, Maruzen, Tokyo.
Lee, G. C., and Tseng, N. T. (1983). “Design of beams and beam columns.” Chapter 7, Beams and beam columns, R. Narayanan, ed., Applied Science Publishers, New York.
Minnesota DOT. (2006). “Fatigue evaluation and redundancy analysis, Bridge No.9340, I-35W over Mississippi river.” Draft Rep., URS Corporation, Minneapolis.
Nagai, M., and Miyashita, T. (2009). “Recent topics on steel bridge engineering in Japan—Design and maintenance.” Proc., 10th Korea–China–Japan Symp. on Steel Structures, China Steel Construction Society, Beijing, 65–76.
Nagatani, H., et al. (2008). “Structural redundancy analysis for steel truss bridges in Japan.” J. Soc. Civ. Eng. Div. A, 65(2), 410–425.
Nagavi, R. S., and Aktan, A. E. (2003). “Nonlinear behavior of heavy class steel truss bridges.” J. Struct. Eng., 1113–1121.
Santathadaporn, S., and Chen, W. F. (1968). “Interaction curves for sections under combined biaxial bending and axial force.” WRC Bulletin 148, Welding Research Council, Shaker Heights, OH.
Sohal, I. S., Duan, L., and Chen, W. F. (1989). “Design interaction equations for steel members.” J. Struct. Eng., 1650–1665.
Starossek, U. (2006). “Progressive collapse of bridges—Aspects of analysis and design.” Proc., Int. Symp. on Sea-Crossing Long-Span Bridges, Korean Group of IABSE, Seoul.
Yamaguchi, E., Okamoto, R., and Yamada, K. (2011). “Post-member-failure analysis method of steel truss bridge.” Proc. Eng., 14, 656–661.
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© 2016 American Society of Civil Engineers.
History
Received: Mar 23, 2015
Accepted: Aug 24, 2016
Published online: Nov 2, 2016
Published in print: Mar 1, 2017
Discussion open until: Apr 2, 2017
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