Influence of gusset plate design on the collapse risk of buckling-restrained braced frame buildings

Authors

  • Saiteja Sistla University of Canterbury image/svg+xml
  • Reagan Chandramohan University of Canterbury image/svg+xml
  • Timothy J. Sullivan University of Canterbury

DOI:

https://doi.org/10.5459/bnzsee.1766

Abstract

This study examines the impact of gusset plate design on the collapse risk of two buckling-restrained braced frame (BRBF) buildings, incorporating superX and diagonal brace configurations. Nonlinear dynamic analysis shows that the gusset plate axial compressive strength is, on average, 30% lower than the design strength estimated by NZS-3404, indicating that the current design approach may be non-conservative. This study explores three alternative design methods: (i) NZS-3404 design with modifications (NZS-3404-revised), (ii) Court-Patience (CP) method, and (iii) Notional load yield line (NLYL) method. On average, the gusset plate axial compressive strength obtained from dynamic analysis aligns closely with the design strengths predicted by the NZS-3404-revised and CP methods. The NLYL method explicitly accounts for the reduced strength of mid-span gusset plates in super-X and chevron-configured BRBFs. The gusset plate strengths from dynamic analysis are approximately 30% greater than those estimated by the NLYL method, demonstrating that this approach is sufficiently conservative and therefore recommended for design. Within the limited range of brace and gusset plate configurations studied, the collapse risk is reduced by a factor of 3.5 when the NLYL method is used instead of the NZS-3404 method.

References

1 Bruneau M and MacRae G (2019). “Building Structural Systems in Christchurch’s Post-Earthquake Reconstruction”. Earthquake Spectra, 35(4): 1953–1978. https://doi.org/10.1193/052818EQS126O

2 ANSI/AISC 341-22 (2022). Seismic Provisions for Structural Steel Buildings. 341-22, American Institute of Steel Construction, Chicago, IL.

3 Vazquez-Colunga SY, Lee CL and MacRae GA (2021). “Bidirectional loading performance of gusset plates in buckling-restrained braced frames”. Engineering Structures, 242: 112521. https://doi.org/10.1016/j.engstruct.2021.190112521

4 Westeneng BA (2016). “Buckling behaviour of gusset plates in buckling-restrained braced frames”. Master’s Thesis, University of Canterbury.

5 Song Y, Zhang M, Ke K, Yam MC and Lin XM (2023). “Behaviour and design of gusset plates in steel structures: A state-of-the-art review”. Journal of Constructional Steel Research, 211: 108188. https://doi.org/10.1016/j.jcsr.2023.108188

6 Khoo HH, Tsai KC, Tsai CY, Tsai CY and Wang KJ (2016). “Bidirectional substructure pseudo-dynamic tests and analysis of a full-scale two-story buckling-restrained braced frame”. Earthquake Engineering & Structural Dynamics, 45(7): 1085–1107. https://doi.org/10.1002/eqe.2696

7 Court-Patience D and Garnich M (2021). “Buckling analysis of gusset plates with bolted connections using finite element modeling”. Journal of Constructional Steel Research, 176: 106420. https://doi.org/10.1016/j.jcsr.2020.106420

8 Sistla S, Chandramohan R and Sullivan TJ (2025). “A Macro-Model for Simulating Gusset Plate Buckling in Buckling-Restrained Braced Frame Buildings”. Earthquake Engineering & Structural Dynamics. https://onlinelibrary.wiley.com/doi/10.1002/eqe.4383

9 Thornton WA (1984). “Bracing connections for heavy construction”. Engineering Journal, 21(3): 139–148.

10 AISC-341 (2010). Seismic Design Provisions for Steel Structures. American Institute of Steel Construction (AISC), Chicago, IL.

11 Chou CC, Liu JH and Pham DH (2012). “Steel bucklingrestrained braced frames with single and dual corner gusset connections: seismic tests and analyses”. Earthquake Engineering & Structural Dynamics, 41(7): 1137–1156. https://doi.org/10.1002/eqe.1176

12 Dong W (2021). “Seismic performance of glulam frames with buckling restrained braces (BRBs).” Ph.D. Thesis, University of Canterbury.

13 Zaboli B, Clifton G and Cowie K (2017). “Out-of-plane stability of gusset plates using a simplified notional load yield line method”. Proceedings of the NZSEE Annual Conference 2017, Christchurch, New Zealand.

14 Takeuchi T, Ozaki H, Matsui R and Sutcu F (2014). “Out-of-plane stability of buckling-restrained braces includinge moment transfer capacity”. Earthquake Engineering & Structural Dynamics, 43(6): 851–869. https://doi.org/10.1002/eqe.2376

15 Zhu M, McKenna F and Scott MH (2018). “OpenSeesPy: Python library for the OpenSees finite element framework”. SoftwareX, 7: 6–11.

16 Sistla S, Chandramohan R and Sullivan TJ (2022). “Modelling the out-of-plane buckling behaviour of BRBFs”. New Zealand Society for Earthquake Engineering.

17 Ibarra LF, Medina RA and Krawinkler H (2005). “Hysteretic models that incorporate strength and stiffness deterioration”. Earthquake engineering & structural dynamics, 34(12): 1489–1511. https://doi.org/10.1002/eqe.495

18 Lignos DG and Krawinkler H (2011). “Deterioration modeling of steel components in support of collapse prediction of steel moment frames under earthquake loading”. Journal of Structural Engineering, 137(11): 1291–1302. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000376

19 Lignos DG, Hartloper AR, Elkady A, Deierlein GG and Hamburger R (2019). “Proposed updates to the ASCE 41 nonlinear modeling parameters for wide-flange steel columns in support of performance-based seismic engineering”. Journal of Structural Engineering, 145(9): 04019083. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002353

20 Liberty Steel (2014). Hot rolled and structural steel products. Liberty Primary Steel manufactures.

21 Neuenhofer A and Filippou FC (1997). “Evaluation of nonlinear frame finite-element models”. Journal of structural engineering, 123(7): 958–966. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:7(958)

22 Zsarnóczay Á (2013). “Experimental and numerical investigation of buckling-restrained braced frames for Eurocode conform design procedure development”. Ph.D. Thesis, Budapest University of Technology and Economics (Hungary).

23 Jalayer F (2003). “Direct probabilistic seismic analysis: implementing non-linear dynamic assessments”. Ph.D. Thesis, Stanford University.

24 Yeow T, Orumiyehei A, Sullivan T, MacRae G, Clifton G and Elwood K (2018). “Seismic performance of steel friction connections considering direct-repair costs”. Bulletin of Earthquake Engineering, 16: 5963–5993.

25 Bradley BA (2010). “A generalized conditional intensity measure approach and holistic ground-motion selection”. Earthquake Engineering & Structural Dynamics, 39(12): 1321–1342. https://doi.org/10.1002/eqe.995

26 Liel AB, Haselton CB, Deierlein GG and Baker JW (2009). “Incorporating modeling uncertainties in the assessment of seismic collapse risk of buildings”. Structural Safety, 31(2): 197–211. https://doi.org/10.1016/j.strusafe.2008.06.002

Downloads

Published

01-09-2026

How to Cite

Sistla, S., Chandramohan, R., & John Sullivan, T. (2026). Influence of gusset plate design on the collapse risk of buckling-restrained braced frame buildings. Bulletin of the New Zealand Society for Earthquake Engineering, 59(3), 183-190. https://doi.org/10.5459/bnzsee.1766