Technical Papers
Jan 23, 2023

Axial–Flexural Interaction in Axially Restrained Beams in Progressive Collapse Column-Removal Scenarios

Publication: Journal of Performance of Constructed Facilities
Volume 37, Issue 2

Abstract

Progressive collapse alternate path scenarios are often characterized by restrained beam configurations that provide resistance to structural collapse after column removal. While various methods have been presented to model the behavior of restrained beams, opportunities exist for mechanics-based estimation of the complete static and dynamic load-deflection curves. This paper presents an axially restrained beam (ARB) model that incorporates axial–flexural interaction throughout the entire static load-deflection curve including the elastic material range, the plastic flexural dominant range, the range beyond plastic flexure with increasing catenary effect, and the full catenary range. Energy methods are applied to static load-deflection curves to determine dynamic load-deflection relationships. A parametric study was conducted to assess the accuracy of the ARB method compared to nonlinear, dynamic time history finite-element (FE) analyses. The model compares favorably to results of FE models with average estimates of dynamic deflection within 2.1% for ideal moment connections and 7.7% for configurations combining simple and moment resisting connections.

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Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

References

Alanani, M., M. Ehab, and H. Salem. 2020. “Progressive collapse assessment of precast prestressed reinforced concrete beams using applied element method.” Case Stud. Constr. Mater. 13 (Dec): e00457. https://doi.org/10.1016/j.cscm.2020.e00457.
Amir, M., K. G. Papakonstantinou, and G. P. Warn. 2020. “A consistent Timoshenko hysteretic beam finite element model.” Int. J. Non-Linear Mech. 119 (Dec): 103218. https://doi.org/10.1016/j.ijnonlinmec.2019.07.003.
ASCE. 2017. Seismic evaluation and retrofit of existing buildings. ASCE/SEI 41-17. Reston, VA: ASCE.
ASCE. 2022. Minimum design loads for buildings and other structures. ASCE/SEI 7-22. Reston, VA: ASCE.
Bregoli, G., G. Vasdravellis, T. L. Karavasilis, and D. M. Cotsovos. 2021. “Static and dynamic tests on steel joints equipped with novel structural details for progressive collapse mitigation.” Eng. Struct. 232 (Apr): 111829. https://doi.org/10.1016/j.engstruct.2020.111829.
Buscemi, N., and S. Marjanishvili. 2005. “SDOF model for progressive collapse analysis.” In Proc., 2005 Structures Congress. Reston, VA: ASCE.
Deb, T., T. Y. P. Yuen, D. Lee, and R. Halder. 2021. “Bi-directional collapse fragility assessment by DFEM of unreinforced masonry buildings with openings and different confinement configurations.” Earthquake Eng. Struct. Dyn. 50 (15): 4097–4120. https://doi.org/10.1002/eqe.3547.
Deputy, L. T., and B. A. Story. 2015. “Progressive collapse mitigation: Geometrically nonlinear catenary behavior.” In Proc., Architectural Engineering Institute of ASCE Conf., 185–196. Reston, VA: ASCE.
Deputy, L. T., Y. Zeinali, and B. A. Story. 2018. “A modified catenary model with application to the analysis and design of retrofit cables for progressive collapse.” Infrastructures 3 (3): 26. https://doi.org/10.3390/infrastructures3030026.
DoD (Department of Defense). 2016. Design of buildings to resist progressive collapse. Washington, DC: DoD.
Doudak, G., C. Viau, and D. M. Lacroix. 2022. “Proposed design methods for timber members subjected to blast loads.” J. Perform. Constr. Facil. 36 (3): 04022020. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001723.
Ehab, M., H. Salem, and M. Abdel-Mooty. 2016. “Progressive collapse assessment of precast concrete connections using the applied element method.” Int. J. Comp. Methods Exp. Meas. 4 (3): 269–279. https://doi.org/10.2495/CMEM-V4-N3-269-279.
Ferraioli, M. 2019a. “Dynamic increase factor for nonlinear static analysis of RC frame buildings against progressive collapse.” Int. J. Civ. Eng. 17 (3): 281–303. https://doi.org/10.1007/s40999-017-0253-0.
Ferraioli, M. 2019b. “A modal pushdown procedure for progressive collapse analysis of steel frame structures.” J. Constr. Steel Res. 156 (Feb): 227–241. https://doi.org/10.1016/j.jcsr.2019.02.003.
Fraldi, M., A. Gesualdo, and F. Guarracino. 2014. “Influence of actual plastic hinge placement on the behavior of ductile frames.” J. Zhejiang Univ. Sci. A 15 (7): 482–495. https://doi.org/10.1631/jzus.A1400031.
Ghorbanzadeh, B., G. Bregoli, G. Vasdravellis, and T. L. Karavsilis. 2019. “Pilot experimental and numerical studies on a novel retrofit scheme for steel joints against progressive collapse.” Eng. Struct. 200 (Dec): 109667. https://doi.org/10.1016/j.engstruct.2019.109667.
GSA (General Services Administration). 2016. Progressive collapse analysis and design guidelines for new federal office buildings and major modernization projects. Washington, DC: GSA.
Harry, A., and Y. Lu. 2019. “Simplified theoretical model for prediction of catenary action incorporating strength degradation in axially restrained beams.” Eng. Struct. 191 (Jul): 219–228. https://doi.org/10.1016/j.engstruct.2019.04.043.
Huber, J. A. J., M. Ekevad, U. A. Girhammar, and S. Berg. 2018. “Structural robustness and timber buildings—A review.” Wood Mater. Sci. Eng. 14 (2): 107–128. https://doi.org/10.1080/17480272.2018.1446052.
Izzuddin, B. A., A. G. Vlassis, A. Y. Elghazouli, and D. A. Nethercot. 2008. “Progressive collapse of multi-storey buildings due to sudden column loss—Part I: Simplified assessment research.” Eng. Struct. 30 (5): 1308–1318. https://doi.org/10.1016/j.engstruct.2007.07.011.
Kiakojouri, F., M. R. Sheidaii, V. De Biagi, and B. Chiaia. 2020. “Progressive collapse assessment of steel moment-resisting frames using static and dynamic incremental analyses.” J. Perform. Constr. Facil. 34 (3): 04020025. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001425.
Kim, J., and T. Kim. 2009. “Assessment of progressive collapse-resisting capacity of steel moment frames.” J. Constr. Steel Res. 65 (1): 169–179. https://doi.org/10.1016/j.jcsr.2008.03.020.
Lew, H., Y. Bao, F. Sadek, J. Main, S. Pujol, and M. Sozen. 2011. An experimental and computational study of reinforced concrete assemblies under a column removal scenario. Gaithersburg, MD: US Dept. of Commerce, NIST.
Li, G. Q., and K. Q. Wang, Y. S. Liu, and S. W. Chen. 2012. “Catenary action of restrained steel beam against progressive collapse of steel frameworks.” J. Cent. South Univ. 19 (2): 537–546. https://doi.org/10.1007/s11771-012-1037-y.
Li, G.-Q., L.-L. Li, B. Jiang, and Y. Lu. 2018. “Experimental study on progressive collapse resistance of steel frames under a sudden column removal scenario.” J. Constr. Steel Res. 147 (Aug): 1–15. https://doi.org/10.1016/j.jcsr.2018.03.023.
Liu, M. 2013. “A new dynamic increase factor for nonlinear static alternate path analysis of building frames against progressive collapse.” Eng. Struct. 48 (Mar): 666–673. https://doi.org/10.1016/j.engstruct.2012.12.011.
Lu, X., H. Guan, H. Sun, Y. Li, Z. Zheng, Y. Fei, Z. Yang, and L. Zuo. 2021. “A preliminary analysis and discussion of the condominium building collapse in surfside, Florida, US, June 24, 2021.” Front. Struct. Civ. Eng. 15 (5): 1097–1110. https://doi.org/10.1007/s11709-021-0766-0.
Lu, X., X. Lin, and L. Ye. 2009. “Simulation of structural collapse with coupled finite element-discrete element method.” In Computational structural engineering. Dordrecht, Netherlands: Springer.
Lubliner, J. 2008. Plasticity theory. North Chelmsford, MA: Courier Corp.
Masoero, E., P. Darò, and B. M. Chiaia. 2013. “Progressive collapse of 2D framed structures: An analytical model.” Eng. Struct. 54 (Sep): 94–102. https://doi.org/10.1016/j.engstruct.2013.03.053.
Mazzoni, S., F. McKenna, M. H. Scott, and G. L. Fenves. 2006. OpenSees command language manual. Berkeley, CA: Pacific Earthquake Engineering Research Center.
McKay, A., K. Marchand, and M. Diaz. 2012. “Alternate path method in progressive collapse analysis: Variation of dynamic and nonlinear load increase factors.” Pract. Period. Struct. Des. Constr. 17 (4): 152–160. https://doi.org/10.1061/(ASCE)SC.1943-5576.0000126.
Meng, B., W. Zhong, and J. Hao. 2018. “Anti-collapse performances of steel beam-to-column assemblies with different span ratios.” J. Constr. Steel Res. 140 (Jan): 125–138. https://doi.org/10.1016/j.jcsr.2017.10.014.
Pham, A. T., K. H. Tan, and J. Yu. 2016. “Numerical investigations on static and dynamic responses of reinforced concrete sub-assemblages under progressive collapse.” Eng. Struct. 149 (Oct): 2–20. https://doi.org/10.1016/j.engstruct.2016.07.042.
Qiao, H., J. Xia, Y. Chen, G. Chen, and J. Zheng. 2022. “A novel principle for improving collapse resistance of steel frame structures.” J. Constr. Steel Res. 196 (Sep): 107408. https://doi.org/10.1016/j.jcsr.2022.107408.
Ruth, P., K. A. Marchand, and E. B. Williamson. 2006. “Static equivalency in progressive collapse alternate path analysis: Reducing conservatism while retaining structural integrity.” J. Perform. Constr. Facil. 20 (4): 349–364. https://doi.org/10.1061/(ASCE)0887-3828(2006)20:4(349).
Sadek, F., J. A. Main, H. S. Lew, and Y. Bao. 2011. “Testing and analysis of steel and concrete beam-column assemblies under a column removal scenario.” J. Struct. Eng. 137 (9): 881–892. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000422.
Sadek, F., J. A. Main, H. S. Lew, S. D. Robert, V. P. Chiarito, and S. El-Tawil. 2010. An experimental and computational study of steel moment connections under a column removal scenario. Gaithersburg, MD: US Dept. of Commerce, NIST.
Salmon, C. G., J. E. Johnson, and F. A. Malhas. 2009. Steel structures design and behavior. Upper Saddle River, NJ: Pearson.
Stylianidis, P. M., and D. A. Nethercot. 2015. “Modelling of connection behaviour for progressive collapse analysis.” J. Constr. Steel Res. 113 (Oct): 169–184. https://doi.org/10.1016/j.jcsr.2015.06.008.
Stylianidis, P. M., D. A. Nethercot, B. A. Izzuddin, and A. Y. Elghazouli. 2016a. “Robustness assessment of frame structures using simplified beam and grillage models.” Eng. Struct. 115 (May): 78–95. https://doi.org/10.1016/j.engstruct.2016.02.003.
Stylianidis, P. M., D. A. Nethercot, B. A. Izzuddin, and A. Y. Elghazouli. 2016b. “Study of the mechanics of progressive collapse with simplified beam models.” Eng. Struct. 117 (Jun): 287–304. https://doi.org/10.1016/j.engstruct.2016.02.056.
Tavakoli, H. R., and F. Kiakojouri. 2013. “Numerical study of progressive collapse in framed structures: A new approach for dynamic column removal.” Int. J. Eng. Trans. A26 (7): 685–692. https://doi.org/10.5829/idosi.ije.2013.26.07a.02.
Tsai, M. H. 2009. “An analytical methodology for the dynamic amplification factor in progressive collapse evaluation of building structures.” Mech. Res. Commun. 37 (1): 61–66. https://doi.org/10.1016/j.mechrescom.2009.11.001.
Vassilikos, E. P., B. F. Ronalds, and P. J. Dowling. 1991. “Axially restrained beams loaded to collapse under symmetrically distributed loading.” Int. J. Mech. Sci. 33 (8): 597–612. https://doi.org/10.1016/0020-7403(91)90030-7.
Wong, M. B. 2009. Plastic analysis and design of steel structures. Amsterdam, Netherlands: Elsevier.
Wu, C., and H. Hao. 2007. “Safe scaled distance for masonry infilled RC frame structures subjected to airblast loads.” J. Perform. Constr. Facil. 21 (6): 422–431. https://doi.org/10.1061/(ASCE)0887-3828(2007)21:6(422).
Xie, F., B. Gu, and H. Qian. 2020. “Experimental study on the dynamic behavior of steel frames during progressive collapse.” J. Constr. Steel Res. 177 (Feb): 106459. https://doi.org/10.1016/j.jcsr.2020.106459.
Yang, B., and K. H. Tan. 2013. “Robustness of bolted-angle connections against progressive collapse: Mechanical modelling of bolted-angle connections under tension.” Eng. Struct. 57 (Dec): 153–168. https://doi.org/10.1016/j.engstruct.2013.08.041.
Yu, J., and Y. Guo. 2016. “Nonlinear SDOF model for dynamic response of structures under progressive collapse.” J. Eng. Mech. 142 (3): 04015103. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001031.
Yu, J., and K. H. Tan. 2013. “Experimental and numerical investigation on progressive collapse resistance of reinforced concrete beam column sub-assemblages.” Eng. Struct. 55 (Oct): 90–106. https://doi.org/10.1016/j.engstruct.2011.08.040.
Yu, J., C. Yin, and Y. Guo. 2017. “Nonlinear SDOF model for progressive collapse responses of structures with consideration of viscous damping.” J. Eng. Mech. 143 (9): 04017108. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001339.

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Go to Journal of Performance of Constructed Facilities
Journal of Performance of Constructed Facilities
Volume 37Issue 2April 2023

History

Received: May 2, 2022
Accepted: Oct 31, 2022
Published online: Jan 23, 2023
Published in print: Apr 1, 2023
Discussion open until: Jun 23, 2023

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Authors

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Leven T. Deputy [email protected]
Ph.D. Candidate, Dept. of Civil and Environmental Engineering, Southern Methodist Univ., P.O. Box 750340, Dallas, TX 75205. Email: [email protected]
Muath Y. Alhumaidi, S.M.ASCE [email protected]
Ph.D. Student, Dept. of Civil and Environmental Engineering, Southern Methodist Univ., P.O. Box 750340, Dallas, TX 75205. Email: [email protected]
Associate Professor, Dept. of Civil and Environmental Engineering, Southern Methodist Univ., P.O. Box 750340, Dallas, TX 75205 (corresponding author). ORCID: https://orcid.org/0000-0002-9851-7790. Email: [email protected]

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