Technical Papers
Jul 8, 2022

Reliability-Based Collapse Assessment of Wind-Excited Steel Structures within Performance-Based Wind Engineering

Publication: Journal of Structural Engineering
Volume 148, Issue 9

Abstract

As inelastic design for wind is embraced by the engineering community, there is an increasing demand for computational tools that enable the investigation of the nonlinear behavior of wind-excited structures and subsequent development of performance criteria. To address this need, a probabilistic collapse assessment framework for steel structures is proposed in this paper. The framework is based on the integration of a high-fidelity fiber-based nonlinear structural modeling environment with a wind-tunnel-informed stochastic wind load model to perform nonlinear time history analysis. General uncertainty is propagated using a stratified sampling scheme enabling the efficient estimation of reliabilities associated with rare events. The adopted models for simulating high-fidelity nonlinear structural behavior were found, in general, to be adequate for capturing phenomena, including progressive yielding, buckling, and low-cycle fatigue, that are essential for wind induced collapse analysis. In particular, the adopted fatigue model was found to be capable of predicting damage and potential fiber/section fracture associated with non–fully reversing stress-strain cycles that are characteristic of wind loading. Through illustration on a 45-story archetype steel building, critical discussions on the types of observed collapse mechanisms, the difference between along-wind and across-wind nonlinear behavior, reliabilities associated with first yield, and collapse are presented. A probabilistic description of the residual and peak story drifts is also provided through development of fragility functions.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

All data, models, and code generated or used during the study appear in the published article.

Acknowledgments

This research effort was supported in part by the National Science Foundation (NSF) under Grant Nos. CMMI-1750339 and CMMI-2118488. This support is gratefully acknowledged.

References

Arunachalam, S., and S. M. J. Spence. 2021. “A stochastic simulation scheme for the estimation of small failure probabilities in wind engineering applications.” In Proc., European Safety and Reliability Conference (ESREL 2021). Singapore: Research Publishing.
ASCE. 2019. Prestandard for performance-based wind design. Reston, VA: ASCE.
ASCE. 2022. Minimum design loads for buildings and other structures. ASCE 7-22. Reston, VA: ASCE.
Baker, J. W. 2015. “Efficient analytical fragility function fitting using dynamic structural analysis.” Earthquake Spectra 31 (1): 579–599. https://doi.org/10.1193/021113EQS025M.
Barbato, M., F. Petrini, V. U. Unnikrishnan, and M. Ciampoli. 2013. “Performance-based hurricane engineering (PBHE) framework.” Struct. Saf. 45 (Nov): 24–35. https://doi.org/10.1016/j.strusafe.2013.07.002.
Bartlett, F. M., R. J. Dexter, M. D. Graeser, J. J. Jelinek, B. J. Schmidt, and T. V. Galambos. 2003. “Updating standard shape material properties database for design and reliability.” Eng. J. 40 (1): 2–14.
Beck, A. T., I. A. Kougioumtzoglou, and K. R. M. dos Santos. 2014. “Optimal performance-based design of non-linear stochastic dynamical RC structures subject to stationary wind excitation.” Eng. Struct. 78 (Nov): 145–153. https://doi.org/10.1016/j.engstruct.2014.07.047.
Bernardini, E., S. M. J. Spence, D.-K. Kwon, and A. Kareem. 2015. “Performance-based design of high-rise buildings for occupant comfort.” J. Struct. Eng. 141 (10): 04014244. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001223.
Charney, F. A. 2008. “Unintended consequences of modeling damping in structures.” J. Struct. Eng. 134 (4): 581–592. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:4(581).
Chuang, W. C., and S. M. J. Spence. 2017. “A performance-based design framework for the integrated collapse and non-collapse assessment of wind excited buildings.” Eng. Struct. 150 (Nov): 746–758. https://doi.org/10.1016/j.engstruct.2017.07.030.
Chuang, W. C., and S. M. J. Spence. 2019. “An efficient framework for the inelastic performance assessment of structural systems subject to stochastic wind loads.” Eng. Struct. 179 (Jan): 92–105. https://doi.org/10.1016/j.engstruct.2018.10.039.
Chuang, W. C., and S. M. J. Spence. 2020. “Probabilistic performance assessment of inelastic wind excited structures within the setting of distributed plasticity.” Struct. Saf. 84 (May): 101923. https://doi.org/10.1016/j.strusafe.2020.101923.
Chuang, W. C., and S. M. J. Spence. 2022. “A framework for the efficient reliability assessment of inelastic wind excited structures at dynamic shakedown.” J. Wind Eng. Ind. Aerodyn. 220 (Jan): 104834. https://doi.org/10.1016/j.jweia.2021.104834.
Ciampoli, M., F. Petrini, and G. Augusti. 2011. “Performance-based wind engineering: Towards a general procedure.” Struct. Saf. 33 (6): 367–378. https://doi.org/10.1016/j.strusafe.2011.07.001.
Cui, W., and L. Caracoglia. 2018. “A unified framework for performance-based wind engineering of tall buildings in hurricane-prone regions based on lifetime intervention-cost estimation.” Struct. Saf. 73 (Jul): 75–86. https://doi.org/10.1016/j.strusafe.2018.02.003.
Cui, W., and L. Caracoglia. 2020. “Performance-based wind engineering of tall buildings examining life-cycle downtime and multisource wind damage.” J. Struct. Eng. 146 (1): 04019179. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002479.
Davenport, A. G., and P. Hill-Carroll. 1986. “Damping in tall buildings: Its variability and treatment in design.” In Proc., American Society of Civil Engineers (ASCE) Spring Convention, 42–57. Reston, VA: ASCE.
Denavit, M. D., and J. F. Hajjar. 2013. Description of geometric nonlinearity for beam-column analysis in OpenSees. Boston: Northeastern Univ.
Der Kiureghian, A. 2005. “Non-ergodicity and peer’s framework formula.” Earthquake Eng. Struct. Dyn. 34 (13): 1643–1652. https://doi.org/10.1002/eqe.504.
De Souza, R. M. 2000. “Force-based finite element for large displacement inelastic analysis of frames.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Univ. of California, Berkeley.
Diniz, S. M. C., F. Sadek, and E. Simiu. 2004. “Wind speed estimation uncertainties: Effects of climatological and micrometeorological parameters.” Probab. Eng. Mech. 19 (4): 361–371. https://doi.org/10.1016/j.probengmech.2004.03.003.
Diniz, S. M. C., and E. Simiu. 2005. “Probabilistic descriptions of wind effects and wind-load factors for database-assisted design.” J. Struct. Eng. 131 (3): 507–516. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:3(507).
Ellingwood, B. R., T. V. Galambos, J. G. MacGregor, and C. A. Cornell. 1980. Development of a probability based load criterion for American national standard A58: Building code requirements for minimum design loads in buildings and other structures. Washington, DC: US Dept. of Commerce.
FEMA. 2012. Seismic performance assessment of buildings, Volume 1—Methodology. Washington, DC: FEMA.
Feng, C., and X. Chen. 2017. “Crosswind response of tall buildings with nonlinear aerodynamic damping and hysteretic restoring force character.” J. Wind Eng. Ind. Aerodyn. 167 (Aug): 62–74. https://doi.org/10.1016/j.jweia.2017.04.012.
Feng, C., and X. Chen. 2018. “Inelastic responses of wind-excited tall buildings: Improved estimation and understanding by statistical linearization approaches.” Eng. Struct. 159 (Mar): 141–154. https://doi.org/10.1016/j.engstruct.2017.12.041.
Galambos, T. V., B. R. Ellingwood, J. G. MacGregor, and C. A. Cornell. 1982. “Probability based load criteria: Assessment of current design practice.” J. Struct. Div. 108 (5): 959–977. https://doi.org/10.1061/JSDEAG.0005958.
Galambos, T. V., and M. K. Ravindra. 1978. “Properties of steel for use in LRFD.” J. Struct. Div. 104 (9): 1459–1468. https://doi.org/10.1061/JSDEAG.0004988.
Ghaffary, A., and M. M. Moustafa. 2021. “Performance-based assessment and structural response of 20-story SAC building under wind hazards through collapse.” J. Struct. Eng. 147 (3): 04020346. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002911.
Ghebremariam, B. T., and J. P. Judd. 2016. “Windstorm resilience of a 46-story office building.” In Proc., AEI 2017, 735–744. Reston, VA: ASCE.
Huang, J., and X. Chen. 2022. “Inelastic performance of high-rise buildings to simultaneous actions of alongwind and crosswind loads.” J. Struct. Eng. 148 (2): 04021258. https://doi.org/10.1061/(ASCE)ST.1943-541X.0003236.
Ierimonti, L., I. Venanzi, L. Caracoglia, and A. L. Materazzi. 2019. “Cost-based design of nonstructural elements for tall buildings under extreme wind environments.” J. Aerosp. Eng. 32 (3): 04019020. https://doi.org/10.1061/(ASCE)AS.1943-5525.0001008.
Jain, A., M. Srinivasan, and G. C. Hart. 2001. “Performance based design extreme wind loads on a tall building.” Struct. Des. Tall Build. 10 (1): 9–26. https://doi.org/10.1002/tal.165.
Judd, J. P. 2018. “Windstorm resilience of a 10-story steel frame office building.” ASCE-ASME J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 4 (3): 04018020. https://doi.org/10.1061/AJRUA6.0000971.
Judd, J. P., and F. A. Charney. 2015. “Inelastic behavior and collapse risk for buildings subjected to wind loads.” In Proc., Structures Congress 2015, 2483–2496. Reston, VA: ASCE.
Karamanci, E., and D. G. Lignos. 2014. “Computational approach for collapse assessment of concentrically braced frames in seismic regions.” J. Struct. Eng. 140 (8): A4014019. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001011.
Kwon, D.-K., A. Kareem, R. Stansel, and B. R. Ellingwood. 2015. “Wind load factors for dynamically sensitive structures with uncertainties.” Eng. Struct. 103 (Nov): 53–62. https://doi.org/10.1016/j.engstruct.2015.08.031.
Mazzoni, S., F. McKenna, M. H. Scott, and G. L. Fenves. 2006. OpenSees command language manual. Berkeley, CA: Univ. of California.
Micheli, L., A. Alipour, S. Laflamme, and P. Sarkar. 2019. “Performance-based design with life-cycle cost assessment for damping systems integrated in wind excited tall buildings.” Eng. Struct. 195 (Sep): 438–451. https://doi.org/10.1016/j.engstruct.2019.04.009.
Minciarelli, F., M. Gioffrè, M. Grigoriu, and E. Simiu. 2001. “Estimates of extreme wind effects and wind load factors: Influence of knowledge uncertainties.” Probab. Eng. Mech. 16 (4): 331–340. https://doi.org/10.1016/S0266-8920(01)00024-8.
Mohammadi, A., A. Azizinamini, L. Griffis, and P. Irwin. 2019. “Performance assessment of an existing 47-story high-rise building under extreme wind loads.” J. Struct. Eng. 145 (1): 04018232. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002239.
Muthukumar, S., S. Baldava, and J. Garber. 2013. “Performance-based evaluation of an existing building subjected to wind forces.” In Advances in hurricane engineering: Learning from our past, 1217–1228. Reston, VA: ASCE.
Nagler, T. 2018. “kdecopula: An R package for the kernel estimation of bivariate copula densities.” J. Stat. Software Art. 84 (7): 1–22.
Oldfield, P., D. Trabucco, and A. Wood. 2014. Roadmap on the future research needs of tall buildings. Chicago: Council on Tall Buildings and Urban Habitat.
Ouyang, Z., and S. M. J. Spence. 2020. “A performance-based wind engineering framework for envelope systems of engineered buildings subject to directional wind and rain hazards.” J. Struct. Eng. 146 (5): 04020049. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002568.
Ouyang, Z., and S. M. J. Spence. 2021. “Performance-based wind-induced structural and envelope damage assessment of engineered buildings through nonlinear dynamic analysis.” J. Wind Eng. Ind. Aerodyn. 208 (1): 104452. https://doi.org/10.1016/j.jweia.2020.104452.
PEER (Pacific Earthquake Engineering Research Center). 2017. Guidelines for performance-based seismic design of tall buildings. Berkeley, CA: Univ. of California.
Petrini, F., and M. Ciampoli. 2012. “Performance-based wind design of tall buildings.” Struct. Infrastruct. Eng. 8 (10): 954–966. https://doi.org/10.1080/15732479.2011.574815.
Sadek, F., S. M. C. Diniz, M. Kasperski, M. Gioffrè, and E. Simiu. 2004. “Sampling errors in the estimation of peak wind-induced internal forces in low-rise structures.” J. Eng. Mech. 130 (2): 235–239. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:2(235).
Shayan, S., K. J. R. Rasmussen, and H. Zhang. 2014. “On the modelling of initial geometric imperfections of steel frames in advanced analysis.” J. Constr. Steel Res. 98 (Jul): 167–177. https://doi.org/10.1016/j.jcsr.2014.02.016.
Spence, S. M. J., and A. Kareem. 2014. “Performance-based design and optimization of uncertain wind-excited dynamic building systems.” Eng. Struct. 78 (Nov): 133–144. https://doi.org/10.1016/j.engstruct.2014.07.026.
Suksuwan, A., and S. M. J. Spence. 2018. “Optimization of uncertain structures subject to stochastic wind loads under system-level first excursion constraints: A data-driven approach.” Comput. Struct. 210 (Nov): 58–68. https://doi.org/10.1016/j.compstruc.2018.09.001.
Tabbuso, P., S. M. J. Spence, L. Palizzolo, A. Pirrotta, and A. Kareem. 2016. “An efficient framework for the elasto-plastic reliability assessment of uncertain wind excited systems.” Struct. Saf. 58 (Nov): 69–78. https://doi.org/10.1016/j.strusafe.2015.09.001.
Uriz, P. 2005. “Towards earthquake resistant design of concentrically braced steel structures.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Univ. of California.
Uriz, P., F. C. Filippou, and S. A. Mahin. 2008. “Model for cyclic inelastic buckling of steel braces.” J. Struct. Eng. 134 (4): 619–628. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:4(619).
Zhang, H., B. R. Ellingwood, and K. J. R. Rasmussen. 2014. “System reliabilities in steel structural frame design by inelastic analysis.” Eng. Struct. 81 (Dec): 341–348. https://doi.org/10.1016/j.engstruct.2014.10.003.
Zhang, H., S. Shayan, K. J. R. Rasmussen, and B. R. Ellingwood. 2016. “System-based design of planar steel frames, I: Reliability framework.” J. Constr. Steel Res. 123 (Aug): 135–143. https://doi.org/10.1016/j.jcsr.2016.05.004.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 148Issue 9September 2022

History

Received: Dec 10, 2021
Accepted: May 4, 2022
Published online: Jul 8, 2022
Published in print: Sep 1, 2022
Discussion open until: Dec 8, 2022

Permissions

Request permissions for this article.

Authors

Affiliations

Graduate Student, Dept. of Civil and Environmental Engineering, Univ. of Michigan, Ann Arbor, MI 48109. ORCID: https://orcid.org/0000-0002-1338-8169. Email: [email protected]
Seymour M. J. Spence, Ph.D., A.M.ASCE [email protected]
Associate Professor, Dept. of Civil and Environmental Engineering, Univ. of Michigan, Ann Arbor, MI 48109 (corresponding author). Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

  • An efficient stratified sampling scheme for the simultaneous estimation of small failure probabilities in wind engineering applications, Structural Safety, 10.1016/j.strusafe.2022.102310, 101, (102310), (2023).

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share