Advanced Steel Construction

Vol. 15, No. 4, pp. 377-385 (2019)




Wei-hui Zhong1, 2, *, Zheng Tan1, Xiao-yan Song1 and Bao Meng1

1 School of Civil Engineering, Xi'an University of Architecture & Technology, Xi'an 710055, China

2Key Lab of Structural Engineering and Earthquake Resistance, Ministry of Education, Xi’an University of Architecture and Tech nology, Xi’an 710055, China

*(Corresponding author: E-mail:This email address is being protected from spambots. You need JavaScript enabled to view it.)

Received: 25 December 2018; Revised: 05 August 2019; Accepted: 11 August 2019




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Based on the alternate load path method and considering the composite effect of floor slabs, a beam–column frame with unequal spans was studied to derive the equations for the load–deformation relationship at five different stages (elastic, elastic–plastic, plastic, transient, and catenary) during progressive collapse. The anti-collapse mechanism of the composite beam–column frame and the influence of arch action were carefully analyzed. A numerical model was established using ABAQUS for the relevant model, and the model was verified by comparison with experimental data. Further, the theoretical equations were compared with the results of numerical simulations for different span ratios. The results show that the theoretical equations possess good generality and high accuracy for analyzing progressive collapse of a composite beam–column frame with unequal spans.



Composite beam–column frame, Anti-collapse mechanism, Progressive collapse, Arch action, Unequal spans


[1] Demonceau JF, Jaspart JP. Experimental and analytical investigations on the response of structural building frames further to a column loss. Proceedings of the 2009 Structures Congress, 2009: 1801–1810.

[2] Izzuddin BA, Vlassis AG, Nethercot DA. Progressive collapse of multi-storey buildings due to sudden column loss—Part I: Simplified assessment framework. Eng. Struct., 30(5), 1308–1318, 2008.

[3] Izzuddin BA. A simplified model for axially restrained beams subject to extreme loading. Int. J. Steel Struct., 5(5), 421–429, 2005.

[4] Vlassis AG., Izzuddin BA., Nethercot DA., Progressive collapse of multi-storey buildings due to sudden column loss-Part II: application[J]. Eng. Struct., 30(5), 1424-1438, 2008.

[5] Arash N, Fereidoon I. Progressive collapse analysis of steel frames: Simplified procedure and explicit expression for dynamic increase factor. Int. J. Steel Struct., 12(4), 537–549, 2012.

[6] Vlassis AG, Izzuddin BA, Elghazouli AY, et al. Progressive collapse of multi-storey buildings due to sudden column loss—Part II: Application. Eng. Struct., 30(5), 1424–1438, 2008.

[7] Kaiqiang W, Guoqiang L, Taochun Y. A study of re-strained steel beams with catenary action under distributed load—Part I: Theoretical model. China Civil Eng. J., 43(1), 1–7, 2010.

[8] Guoqiang L, Kaiqiang W, Taochun Y. A study of re-strained steel beams with catenary action under distributed load—Part II: Numerical verification. China Civil Eng. J., 43(1), 8–12, 2010.

[9] Weihui Z, Bao M, Jiping H. Analysis of anti-collapse of steel frame beam-column substructure with asymmetric spans. Eng. Mech., 34(5), 125–131, 2017.

[10] GSA 2003. Progressive collapse analysis and design guidelines for new federal office buildings and major modernization projects. Washington, DC: United States General Services Administration, 2003.

[11] Yin YZ, Wang YC. Analysis of catenary action in steel beams using a simplified hand calculation method, Part 1: Theory and validation for uniform temperature distribution. J. Constr. Steel Res., 61(2), 183–211, 2005.

[12] Yang B, Tan KH, Xiong G, et al. Experimental study about composite frames under an internal column-removal scenario. J. Constr. Steel Res., 121, 341–351, 2016.

[13] Gao S, Guo LH. Capacity of semi-rigid composite joints in accommodating column loss. J. Constr. Steel Res., 139(139), 288–301, 2017.

[14] Hongtie Z, Sumei Z. Composite structure design principle. Higher Education Press, 2005.

[15] Sucuoglu H, Çitipoglu E, Altin S. Resistance mechanisms in RC building frame subject to column failure. J. Struct. Eng., 120(3), 765–782, 1994.

[16] Xuezhong W, Yazhen S. A simple method for calculating the maximum deflection of simply-supported beams. Mech. Eng., 35(4), 63–64, 2013.

[17] Ying W, Xianglin G, Feng L. Vertical bearing capacity of RC two-bay beams considering compressive arch action. J. Build. Struct., 34(4), 32–42, 2013.

[18] DOD (Department of Defense). Design of Buildings to Resist Progressive Collapse, Unified Facilities Criteria, UFC 4-023-03, USA, 2013.

[19] Guo L, Gao S, Fu F, et al. Experimental study and numerical analysis of progressive collapse resistance of composite frames. J. Constr. Steel Res., 89(5), 236–251, 2013.

[20] GB50010-2010. Code for design of concrete structures. Beijing, China: Architecture & Building Press, 2010.