Technical Papers
May 30, 2022

A Framework for Identification of the Critical Members for Truss Bridges through Nonlinear Dynamic Analysis

Publication: Journal of Bridge Engineering
Volume 27, Issue 8

Abstract

This study proposes an integrated and easily applicable framework that considers the dynamic effect of sudden member loss to identify the critical members in steel truss bridges through nonlinear dynamic analysis. Numerical simulations of sudden member removal in truss bridges through nonlinear dynamic analysis requires significant computational resource because of the modeling of truss members by shell or solid elements. The proposed approach simulates both yielding and buckling behavior of truss members following sudden removal of a member by modeling truss members using the Hughes–Liu (H-L) beam formulation in LS-DYNA. The approach was demonstrated to be computationally efficient, while preserving the accuracy of the numerical results. The reliability and accuracy of the modeling using the H-L beam formulation were verified through three examples of varying degrees of complexity. The capability of the proposed approach in identifying critical members was demonstrated through a case study of the Aby Bridge (a simply supported truss bridge that was originally designed as a fracture critical bridge).

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Acknowledgments

This research is based on work supported by the Federal Highway Administration under contract number DTFH61-14-D-00010/0004, and the City University of New York High-Performance Computing Center at the College of Staten Island. Any opinions, findings, and conclusions or recommendations expressed in this publication are those of the authors and do not necessarily reflect the views of the Federal Highway Administration.

References

AASHTO. 2014. AASHTO LRFD bridge design specifications. 7th ed. Washington, DC: AASHTO.
AASHTO. 2017. AASHTO LRFD bridge design specifications. 8th ed. Washington, DC: AASHTO.
Adam, J. M., F. Parisi, J. Sagaseta, and X. Lu. 2018. “Research and practice on progressive collapse and robustness of building structures in the 21st century.” Eng. Struct. 173: 122–149. https://doi.org/10.1016/j.engstruct.2018.06.082.
Agrawal, A. K., M. Ettouney, X. Chen, H. H. Li, and H. F. Wang. 2020. Steel truss retrofits to provide alternate load paths for cut, damaged, or destroyed members. Rep. No. FHWA-HRT-20-055. Washington, DC: Federal Highway Administration.
Bedon, C., M. Dilena, and A. Morassi. 2016. “Ambient vibration testing and structural identification of a cable-stayed bridge.” Meccanica 51: 2777–2796. https://doi.org/10.1007/s11012-016-0430-2.
Bedon, C., and A. Morassi. 2014. “Dynamic testing and parameter identification of a base-isolated bridge.” Eng. Struct. 60: 85–99. https://doi.org/10.1016/j.engstruct.2013.12.017.
Blandford, G. E. 1996. “Large deformation analysis of inelastic space truss structures.” J. Struct. Eng. 122 (4): 407–415. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:4(407).
Blandford, G. E. 1997. “Review of progressive failure analyses for truss structures.” J. Struct. Eng. 123 (2): 122–129. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:2(122).
Blanksvärd, T., J. Häggström, J. Nilimaa, N. Sabourova, N. Grip, B. Täljsten, L. Elfgren, A. Carolin, B. Paulsson, and Y. Tu. 2014. “Test to failure of a steel truss bridge: Calibration of assessment methods.” In Proc., 7th Int. Conf., of Bridge Maintenance, Safety, Management, edited by A. Chen, D. M. Frangopol, X. Ruan, 1076–1081. London: CRC Press.
Byfield, M., W. Mudalige, C. Morison, and E. Stoddart. 2014. “A review of progressive collapse research and regulations.” Proc. Inst. Civ. Eng. Struct. Build. 167 (8): 447–456. https://doi.org/10.1680/stbu.12.00023.
Cha, H., L. Lyrenmann, R. J. Connor, and A. H. Varma. 2014. “Experimental and numerical evaluation of the post-fracture redundancy of a simple span truss bridge.” J. Bridge Eng. 19 (11): 04014048. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000622.
Chen, Q. 2021. “Structural robustness of long-span cable-supported bridges.” Ph.D. thesis, Dept. of Civil Engineering, City College of New York, City Univ. of New York.
Connor, R. J., R. Dexter, and H. Mahmoud. 2005. Inspection and management of bridges with fracture-critical details. national cooperative highway research program synthesis 354. Washington, DC: Transportation Research Board.
Davalos, J. F. 1989. “Geometrically nonlinear finite element analysis of a glulam timber dome.” Ph.D. thesis, Dept. of Civil Engineering, Virginia Polytechnic Institute and State Univ.
Davila, C. G., and P. P. Camanho. 2003. “Analysis of the effects of residual strains and defects on skin/stiffener debonding using decohesion elements.” In Proc., 44th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conf. https://doi.org/10.2514/6.2003-1465.
DoD (United States Department of Defense). 2009. Unified facilities criteria: Design of buildings to resist progressive collapse. UFC 4-023-03. Arlington, VA: DoD.
Ellingwood, B. R. 2006. “Mitigating risk from abnormal loads and progressive collapse.” J. Perform. Constr. Facil 20 (4): 315–323. https://doi.org/10.1061/(ASCE)0887-3828(2006)20:4(315).
El-Tawil, S., K. Khandelwal, S. Kunnath, and H. S. Lew. 2007. “Macro models for progressive collapse analysis of steel moment frame buildings.” In Structural Engineering Research Frontiers, 1–12, edited by J. W. Wallace. Reston, VA: ASCE.
El-Tawil, S., H. Li, and S. Kunnath. 2014. “Computational simulation of gravity-induced progressive collapse of steel-frame buildings: Current trends and future research needs.” J. Struct. Eng. 140 (8): A2513001. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000897.
Fiorillo, G., F. Miao, and M. Ghosn. 2015. “Direct redundancy evaluation of bridges designated as fracture-critical.” J. Perform. Constr. Facil. 30 (3): 1–9.
Fu, F. 2016. Structural analysis and design to prevent disproportionate collapse. Boca Raton, FL: CRC Press.
Goto, Y., N. Kawanishi, and I. Honda. 2011. “Dynamic stress amplification caused by sudden failure of tension members in steel truss bridges.” J. Struct. Eng. 137 (8): 850–861. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000338.
GSA (General Services Administration). 2003. Progressive collapse analysis and design guidelines for new federal office buildings and major modernization projects. Washington, DC: GSA.
GSA (General Services Administration). 2016. Progressive collapse analysis and design guidelines for progressive collapse resistance. Washington, DC: GSA.
Hill, C. D., G. E. Blandford, and S. T. Wang. 1989. “Post-buckling analysis of steel space trusses.” J. Struct. Eng. 115 (4): 900–919. https://doi.org/10.1061/(ASCE)0733-9445(1989)115:4(900).
Hallquist, J. O. 2014. LS-DYNA keyword user’s manual, version 971. Livermore, CA: Livermore Software Technology Corporation.
Isobe, D. 2017. Progressive collapse analysis of structures: Numerical codes and applications. Oxford, UK: Butterworth-Heinemann.
JRA (Japan Road Association). 2002. Specifications for highway bridges. Maruzen, Tokyo: JRA.
Kiakojouri, F., V. De Biagi, B. Chiaia, and M. R. Sheidaii. 2020. “Progressive collapse of framed building structures: Current knowledge and future prospects.” Eng. Struct. 206: 110061. https://doi.org/10.1016/j.engstruct.2019.110061.
Kondoh, K., and S. N. Atluri. 1986. “A simplified finite element method for large deformation, post–buckling analyses of large frame structures, using explicitly derived tangent stiffness matrices.” Int. J. Numer. Methods Eng. 23 (1): 69–90. https://doi.org/10.1002/nme.1620230107.
Krueger, R., M. K. Cvitkovich, T. K. O’Brien, and P. J. Minguet. 2000. “Testing and analysis of composite skin/stringer debonding under multiaxial loading.” J. Compos. Mater. 34 (15): 1263–1300. https://doi.org/10.1177/002199830003401502.
Lee, G. C., S. Mohan, C. Huang, and B. N. Fard. 2013. A study of US bridge failures (1980–2012). Technical Report 13-0008. Buffalo, NY: Multidisciplinary Center for Earthquake Engineering Research.
Lee, K. S., S. E. Han, and T. Park. 2011. “A simple explicit arc-length method using the dynamic relaxation method with kinetic damping.” Comput. Struct. 89 (1–2): 216–233. https://doi.org/10.1016/j.compstruc.2010.09.006.
Li, H. H. 2021. “Alternate load paths and retrofits for long-span truss bridges under sudden member loss and blast loads.” Ph.D. thesis, Dept. of Civil Engineering, City College of New York, City Univ. of New York.
Lindner, J. 2003. “Design of beams and beam columns.” Progress Struct. Eng. Mater. 5 (1): 38–47. https://doi.org/10.1002/pse.141.
Minnesota DOT. 2006. Fatigue evaluation and redundancy analysis, bridge No. 9340, I-35W over Mississippi river: Draft Rep. Minneapolis: URS Corporation.
Mueller, W. H., and A. L. Wagner. 1984. Plastic behavior of steel angle columns. Research Report. Portland, OR: Civil/Structural Engineering, Portland State Univ.
Murtha-Smith, E. 1988. “Alternate path analysis of space trusses for progressive collapse.” J. Struct. Eng. 114 (9): 1978–1999. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:9(1978).
Nagatani, H., N. Akashi, T. Matsuda, M. Yasuda, H. Ishii, M. Miyamori, Y. Obata, H. Hirayama, and Y. Okui. 2008. “Structural redundancy analysis for steel truss bridges in Japan.” J. Soc. Civ. Eng. Div. A. 65 (2): 410–425.
NTSB (National Transportation Safety Board). 1968. Collapse of US 35 highway bridge, point pleasant, west virginia, December 15, 1967. Highway Accident Rep. No. HAR-71-01. Washington, DC: NTSB.
Papadrakakis, M. 1983. “Inelastic post-buckling analysis of trusses.” J. Struct. Eng. 109 (9): 2129–2147. https://doi.org/10.1061/(ASCE)0733-9445(1983)109:9(2129).
Papadrakakis, M., and P. Ghionis. 1986. “Conjugate gradient algorithms in nonlinear structural analysis problems.” Comput. Methods Appl. Mech. Eng. 59 (1): 11–27. https://doi.org/10.1016/0045-7825(86)90021-6.
Prendergast, J. 1995. “Oklahoma city aftermath.” Civ. Eng. 65 (10): 42.
Qian, K., and B. Li. 2015. “Research advances in design of structures to resist progressive collapse.” J. Perform. Constr. Facil 29 (5): B4014007.
Schmidt, L. C., and B. M. Gregg. 1980. “A method for space truss analysis in the post-buckling range.” Int. J. Numer. Methods Eng. 15 (2): 237–247. https://doi.org/10.1002/nme.1620150207.
Shi, G., and S. N. Atluri. 1988. “Elasto–plastic large deformation analysis of space–frames: A plastic–hinge and stress–based explicit derivation of tangent stiffnesses.” Int. J. Numer. Methods Eng. 26 (3): 589–615. https://doi.org/10.1002/nme.1620260306.
Starossek, U. 2018. Progressive collapse of structures. 2nd ed. London: ICE Publishing.
Stochino, F., C. Bedon, J. Sagaseta, and D. Honfi. 2019. “Robustness and resilience of structures under extreme loads.” Adv. Civ. Eng. 2019: 4291703.
Trong Khuyen, H., and I. Eiji. 2017. “Linear redundancy analysis method considering plastic region for steel truss bridges.” J. Bridge Eng. 22 (3): 05016011. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000999.
Wardhana, K., and F. C. Hadipriono. 2003. “Analysis of recent bridge failures in the United States.” J. Perform. Constr. Facil 17 (3): 144–150. https://doi.org/10.1061/(ASCE)0887-3828(2003)17:3(144).
Warren, J. E., Jr. 1997. “Nonlinear stability analysis of frame-type structures with random geometric imperfections using a total-lagrangian finite element formulation.” Ph.D. thesis, Dept. of Civil Engineering, Virginia Polytechnic Institute, and State Univ.
Williams, F. W. 1964. “An approach to the non-linear behavior of the members of a rigid jointed plane framework with finite deflections.” Q. J. Mech. Appl. Math. 17 (4): 451–469. https://doi.org/10.1093/qjmam/17.4.451.
Williamson, E. B., J. Kim, and K. H. Frank. 2010. “Redundancy evaluation of twin steel box-girder bridges using finite element analysis.” In Structures Congress 2010, edited by S. Senapathi, K. Casey, and M. Hoit, 2793–2802. Reston, VA: ASCE.
Yamaguchi, E., R. Okamoto, and K. Yamada. 2011. “Post-memberfailure analysis method of steel truss bridge.” Procedia Eng. 14: 656–661. https://doi.org/10.1016/j.proeng.2011.07.083.

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Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 27Issue 8August 2022

History

Received: Jul 14, 2021
Accepted: Mar 27, 2022
Published online: May 30, 2022
Published in print: Aug 1, 2022
Discussion open until: Oct 30, 2022

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Postdoctoral Researcher, College of Civil and Transportation Engineering, Shenzhen Univ., Shenzhen 518060, China; Guangdong Provincial Key Laboratory of Durability for Marine Civil Engineering, Shenzhen Univ., Shenzhen 518060, China (corresponding author). ORCID: https://orcid.org/0000-0002-0858-2258. Email: [email protected]
Anil Kumar Agrawal, M.ASCE [email protected]
Professor, Dept. of Civil and Environmental Engineering, City College of the City Univ. of New York, New York, NY 10031. Email: [email protected]
Structural Engineer, WSP, New York, NY 10119. Email: [email protected]
Mohammed Ettouney, Dist.M.ASCE [email protected]
Principal, Mohammed Ettouney, LLC, West New York, NJ 07093. Email: [email protected]
Hongfan Wang [email protected]
Postdoctoral Researcher, Dept. of Civil and Environmental Engineering, City College of the City Univ. of New York, New York, NY 10031. Email: [email protected]

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  • Performance-Based Retrofits of Long-Span Truss Bridges Based on the Alternate Load Path Redundancy Analysis, Journal of Bridge Engineering, 10.1061/JBENF2.BEENG-5354, 28, 2, (2023).

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