Technical Papers
Jun 22, 2023

Limit Analysis for Evaluation of Compression Diagonal Gusset Plates in Steel Truss Bridges

Publication: Journal of Bridge Engineering
Volume 28, Issue 9

Abstract

Current standard evaluation procedures for compression gusset plates, the two-fold Whitmore section (Whitmore) buckling and the partial plane shear yielding (PPSY), as specified in The Manual for Bridge Evaluation (MBE), are conservative and may result in unnecessary strengthening and retrofitting. To provide accurate and rational load rating factors for decision-making, the two-strut buckling model, which is based on the lower bound theorem of limit analysis, is developed to evaluate compression diagonal gusset plates in steel truss bridges. The proposed model includes two struts, horizontal and vertical strut plates that are subjected to moments, axial compression, and shear forces, and satisfies equilibrium and the M–P–V interaction equation, where the moment on the vertical or the horizontal strut sections is M, the axial force on the vertical or horizontal strut sections is P, and the shear force on the vertical or horizontal strut sections is V. The predicted results were compared with 116 large-scale experimental and finite-element (FE) analytical tests that were reported in the National Cooperative Highway Research Program (NCHRP) 12-84 project, the MBE refined methods including the basic corner check (BCC) and the truncated Whitmore section (TWS) buckling. Of the three methods, the proposed two-strut buckling (TSB) model had the best professional factor [PF (Ptest/Ppredication)] and the relatively low coefficient of variation (COV). The procedures and concepts in the proposed model combine established engineering principles with simplicity and good engineering intuition to achieve uniformity when evaluating compression diagonal gusset plates in steel truss bridges.

Practical Applications

To provide accurate and rational load rating factors for decision-making for the bridge owners, the two-strut buckling model that is based on the lower bound theorem of limit analysis is developed to evaluate compression diagonal gusset plates in steel truss bridges. The predicted results were compared with 116 large-scale experimental and finite-element (FE) analytical tests that were reported in the National Cooperative Highway Research Program (NCHRP) 12-84 project, the Manual for Bridge Evaluation (MBE) refined methods, the basic corner check (BCC), and the truncated Whitmore section (TWS) buckling. Of the three methods, the proposed two-strut buckling model had the best professional factor [PF (Ptest/Ppredication)] and a low coefficient of variation (COV). The procedures and concepts in the proposed model combine established engineering principles with simplicity and good engineering intuition to achieve uniformity when evaluating compression diagonal gusset plates in steel truss bridges.

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Acknowledgments

The authors are grateful for the guidance and advice from Professor Wai-Fah Chen at the University of Hawaii. In addition, thanks are due to our colleagues, Bill Addlespurger, Cory Cowden, Sean Fu, Jun Jung, Don Nguyen-Tan, Yusuf Saleh, Richard Tsang, David Ward, and Larry Wu of the California Department of Transportation, and Professor Chia-Ming Uang at the University of California at San Diego, for their extensive discussions and feedback. Special thanks are extended to Dr. Justin Ocel of FHWA and Professor Don White at the Georgia Institute of Technology for providing NCHRP 12-84 gusset plate experimental and FE specimen data. The opinions, findings, and conclusions presented in this paper are those of the authors and do not necessarily reflect the views of individuals and organizations listed above.

References

AASHTO. 2007. AASHTO LRFD bridge design specifications. 4th ed. Washington, DC: AASHTO.
AASHTO. 2008. The manual for bridge evaluation. 1st ed. Washington, DC: AASHTO.
AASHTO. 2014a. 2014 interim revisions to the manual for bridge evaluation second edition 2010. Washington, DC: AASHTO.
AASHTO. 2014b. AASHTO LRFD bridge design specifications. 7th ed. Washington, DC: AASHTO.
AASHTO. 2018. The manual for bridge evaluation. 3rd ed. Washington, DC: AASHTO.
AASHTO. 2020. AASHTO LRFD bridge design specifications. 9th ed. Washington, DC: AASHTO.
AISC. 2005. Manual for steel construction. 13th ed. Chicago: AISC.
ASCE. 1971. Plastic design in steel, a guide and commentary. New York: ASCE.
Astaneh-Asl, A. 1998. “Seismic behavior and design of gusset plates.” In Steel tips. Lafayette, CA: Structural Steel Educational Council.
Baker, J., and J. Heyman. 1969. Plastic design of frames. Vol. 1. Fundamentals. Cambridge, UK: Cambridge University Press.
Berman, J. W., B. S. Wang, A. W. Olson, C. W. Roeder, and D. E. Lehman. 2012. “Rapid assessment of gusset plate safety in steel truss bridges.” J. Bridge Eng. 17 (2): 221–231. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000246.
Caltrans. 1997. San Francisco-Oakland Bay Bridge west span seismic design criteria. Final Draft. Sacramento, CA: Caltrans.
Caltrans. 2001. Guide specifications for seismic design of steel bridges. 1st ed. Sacramento, CA: Caltrans.
Caltrans. 2008. California amendments to the AASHTO LRFD bridge design specifications. 4th ed. Sacramento, CA: Caltrans.
Caltrans. 2016. Caltrans seismic design specifications for steel bridges. 2nd ed. Sacramento, CA: Caltrans.
Chen, W. F. 1969. “Soil mechanics and theorems of limit analysis.” J. Soil Mech. Found. Div. 95 (2): 493–518. https://doi.org/10.1061/JSFEAQ.0001262.
Chen, W. F. 1970. “Extensibility of concrete and theorems of limit analysis.” J. Eng. Mech. Div. 96 (3): 341–352. https://doi.org/10.1061/JMCEA3.0001245.
Drucker, D. 1956. “The effect of shear on the plastic bending of beams.” J. Appl. Mech. ASME 23 (4): 509–514. https://doi.org/10.1115/1.4011392.
Drucker, D. C. 1961. “On structural concrete and the theorems of limit analysis.” IABSE Publication 21: 49–59.
Drucker, D., and W. Prager. 1952. “Soil plasticity and plastic analysis or limit design.” Quart. Appl. Math. 10 (2): 157–165. https://doi.org/10.1090/qam/48291.
FHWA (Federal Highway Administration). 2008. Load-carrying capacity considerations of gusset plates in non-load-path redundant steel truss bridges. Technical Advisory 5140.29. Washington, DC: FHWA.
FHWA (Federal Highway Administration). 2009. Load rating guidance and examples for bolted and riveted gusset plates in truss bridges. Publication No. FHWA-IF-09-014. Washington, DC: FHWA.
Higgins, C., A. Hafner, T. Turan, and T. Schumacher. 2013. “Experimental tests of truss bridge gusset plate connections with sway-buckling response.” J. Bridge Eng. 18 (10): 980–991. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000433.
Hill, H. J., S. L. Lauer, and J. C. McGormley. 2014a. Gusset plate evaluation guide- refined analysis methods. Springfield, IL: Illinois Dept. of Transportation.
Hill, H. J., J. MaGormley, J. Lewis, W. Clarke, and T. Nagle. 2014b. “Evaluation and repair of bridge truss gusset plates.” Eng. J. AISC 51 (4): 213–227.
Holt, R., and J. Hartmann. 2008. Adequacy of the U10 gusset plate design for the Minnesota ridge No. 9340 (I-35W over the Mississippi River). Final Rep. Technical Rep. Prepared for Federal Highway Administration. Washington, DC: Turner-Fairbank Highway Research Center.
Johansen, K. W. 1930. “The strength of joints in concrete.” [In Danish.] Bygningsstat. Medd. 2: 67–68.
Kim, Y. D., Y. Mentes, D. W. White, and R. T. Leon. 2013. “Analytical assessment of the strength of steel truss bridge gusset plates.” In Proc., Annual Stability Conference Structural Stability Research Council, 391–410. St. Louis: Structural Stability Research Council. https://www.aisc.org/globalassets/continuing-education/ssrc-proceedings/2013/analytical-assessment-of-the-strength-of-steel-truss-bridge-gusset-plates.pdf.
Liao, M., T. Okazaki, R. Ballarini, A. E. Schultz, and T. V. Galambos. 2011. “Nonlinear finite-element analysis of critical gusset plates in the I-35W bridge in Minnesota.” J. Struct. Eng. 137 (1): 59–68. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000269.
Muttoni, A., J. Schwartz, and B. Thürlimann. 1997. Design of concrete structures with stress fields. Boston: Birkhaüser.
Neal, B. G. 1961. “The effect of shear and normal forces on the fully plastic moment of a beam of rectangular cross section.” ASME J. Appl. Mech. 28 (2): 269–274. https://doi.org/10.1115/1.3641666.
NTSB (National Transportation Safety Board). 2007. Collapse of I-35W highway bridge, Minneapolis, Minnesota, August 1, 2007. Highway Accident Report NTSB/HAR-08/03. Washington, DC: NTSB.
Ocel, J. M. 2013. Guidelines for the load and resistance factor design and rating of riveted and bolted gusset-plate connections for steel bridges. NCHRP Web-Only Document 197. Washington, DC: Transportation Research Board.
Thornton, W. A. 1984. “Bracing connections for heavy construction.” Eng. J. AISC 21 (3): 139–148.
Whitmore, R. E. 1952. Experimental investigation of stresses in gusset plates. Bulletin No. 16. Engineering Experiment Station. Knoxville, TN: Univ. of Tennessee.
Yamamoto, K., N. Akiyama, and T. Okumura. 1985. “Elastic analysis of gusseted truss joints.” J. Struct. Eng. 111 (12): 2545–2564. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:12(2545).
Yamamoto, K., N. Akiyama, and T. Okumura. 1988. “Buckling strength of gusseted truss joints.” J. Struct. Eng. 114 (3): 575–590. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:3(575).

Information & Authors

Information

Published In

Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 28Issue 9September 2023

History

Received: Oct 8, 2021
Accepted: Apr 9, 2023
Published online: Jun 22, 2023
Published in print: Sep 1, 2023
Discussion open until: Nov 22, 2023

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Authors

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Lian Duan, Ph.D. [email protected]
P.E.
Senior Bridge Engineer, California Dept. of Transportation, 1801 30th St., Sacramento, CA 95816 (corresponding author). Email: [email protected]
Murugesu Vinayagamoorthy [email protected]
P.E.
Senior Bridge Engineer, California Dept. of Transportation, 1801 30th St., Sacramento, CA 95816. Email: [email protected]

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