Abstract
Progressive collapse refers to a phenomenon in which local damage in a primary structural element leads to total or partial structural system failure. When investigating the progressive collapse of structures, nonlinear dynamic procedures lead to more accurate results than static procedures. However, nonlinear dynamic procedures are very complicated and the evaluation or validation of the results can become very time consuming. Therefore, it is better to use simpler methods. For static analyses, the gravity force applied to the removed column bay should be multiplied by a constant factor of two. However, using a constant dynamic increase factor (DIF) is only appropriate for elastic systems. According to the optimal design of structures, the assumption of elastic behavior after column removal is conservative. Thus, it is necessary to establish an expression for DIF that considers inelastic responses. In this paper, a simplified analysis procedure for the progressive collapse analysis of steel structures is presented using the load displacement and capacity curve of a fixed end steel beam. The results of the proposed method are in good agreement with nonlinear dynamic analysis results. Also, the capacity curve, obtained by dividing the accumulated area under the nonlinear static load displacement curve by the corresponding displacement of the column removed point, is used to predict the progressive collapse resistance of the column removed structure. Finally, an explicit expression for the DIF is established for elastic-perfectly plastic and elastic plastic with catenary action behavior.
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Abruzzo, J., Matta, A., and Panariello, G. (2006). “Study of mitigation strategies for progressive collapse of a reinforced concrete commercial building.” J. Perform. Constr. Facil., 20(4), pp. 384–390.
Bazant, Z. P. and Zhou, Y. (2002). “Why did the world trade center collapse?-simple analysis.” J. Engineering Mechanics, 128(1), pp. 2–6.
Bazant, Z. P. and Verdure, M. (2007). “Mechanics of progressive collapse: Learning from world trade center and building demolitions.” J. Engineering Mechanics, 133(3), pp. 308–319.
Bazant, Z. P., Le, J., Greening, F. R., and Benson, D. B. (2008). “What did and did not cause collapse of world trade center twin towers in new york?” J. Engineering Mechanics, 134(10), pp. 892–906.
Biggs, J. M. (1964). Introduction to structural dynamics. McGraw-Hill Inc., New York.
Chopra, A. K. (2007). Dynamics of structures: theory and applications to earthquake engineering. Prentice-Hall, Englewood Cliffs, NJ.
Clough, R. W. and Penzin, J. (1993). Dynamics of structures. McGraw-Hill Inc., New York.
Corley, W. G., Mlakar, P. F., Sozen, M. A., Thornton, C. H. (1998). “The Oklahoma City bombing: Summary and recommendations for multihazard mitigation.” J. Perform. Constr. Facil., 12(3), pp. 100–112.
Department of Defense (DOD) (2005). Design of buildings to resist progressive collapse. Unified Facilities Criteria (UFC), Washington, DC.
Dussenberry, D. O. and Hamburger, R. O. (2006). “Practical means for energy-based analysis of disproportional collapse potential.” J. Perform. Constr. Facil., 20(4), pp. 336–348.
Fu, F. (2009). “Progressive collapse analysis of high-rise building with 3-D finite element modeling method.” J. Const. Steel Res., 65, pp. 1269–1278.
General Service Administration (GSA) (2003). Progressive collapse analysis and design guidelines for new federal office buildings and major modernization projects. General Service Administration, Washington, DC.
Grierson, D., Safi, M., Xu, L., and Liu, Y. (2005). “Simplified methods for progressive-collapse analysis of buildings.” Proc. Metropolis and Beyond, Structures Congress, Reston, VA.
Izzuddin, B. A. (2005). “Simplified model for axially restrained beams subject to extreme loading.” International Journal of Steel Structures, 5(5), pp. 421–429.
Izzuddin, B. A., Vlassis, A. G., Elghazouli, A. Y., and Nethercot, D. A. (2008a). “Progressive collapse of multistorey byildings due to sudden column loss. Part I: Simplified assessment framework.” Engineering Structures Journal, 30, pp. 1308–1318.
Izzuddin, B., A., Vlassis, A. G., Elghazouli, A. Y., and Nethercot, D. A. (2008b). “Progressive collapse of multistorey byildings due to sudden column loss. Part II: Application.” Engineering Structures Journal, 30, pp. 1424–1438.
Kaewkulchai, A. and Williamson, E. (2004). “Beam element formulation and solution procedure for dynamic progressive collapse analysis.” Computers & Structures Journal, 82, pp. 639–651.
Kaewkulchai, G. (2003). Dynamic progressive collapse of frame structures. Ph.D. Thesis, The University of Texas at Austin, Austin,Texas.
Khandelwal, K., El-Tawil, S., and Sadek, F. (2009). “Progressive collapse analysis of seismically designed steel braced frames.” J. Const. Steel Res., 65, pp. 699–708.
Kim, J. and Kim, T. (2009). “Assessment of progressive collapse-resisting capacity of steel moment frames.” J. Const. Steel Res., 65, pp. 169–179.
Kim, J. and Dawoon, A. (2009). “Evaluation of progressive collapse of steel moment frames considering catenary action.” The Structural Design of Tall and Special Buildings, 18, pp. 455–465.
Lee, C., Kim, S., Han, K., and Lee, K. (2009). “Simplified nonlinear progressive collapse analysis of welded steel moment frames.” J. Const. Steel Res., 65, pp. 1130–1137.
Leyendecker, E. V. and Ellingwood, B. R. (1977). Design methods for reducing the risk of progressive collapse in buildings. National Bureau of Standards, Washington, DC.
Marjanishvili, S. and Agnew, E. (2006). “Comparison of various procedures for progressive collapse analysis.” J. Perform. Constr. Facil., 20(4), pp. 365–374.
McGuire, W. (1974). “Prevention of progressive collapse.” Proc. Regional Conf. on Tall Buildings, Bangkok, Thailand.
McKay, A. E. (2008). Alternate Path Method in progressive collaspe analysis: Variation of dynamic and non-linear load increase factors. M.S. thesis, Univ. of Texas at San Antonio, TA.
Mohamed, O. A. (2009). “Assessment of progressive collapse potential in corner floor panels of reinforced concrete buildings.” Engineering Structures Journal, 31, pp. 749–757.
Powel, G. (2005). “Progressive collapse: Case studies using nonlinear analysis.” Proc. of Metropolis and Beyond-Structures Congress, ASCE, Reston, VA.
Ruth, P., Marchand, K. A. and Williamson, E. B. (2006). “Static equivalency in progressive collapse alternate path analysis: reducing conservatism while retaining structural integrity.” J. Perform. Constr. Facil., 20(4), pp. 349–364.
Seffen, K. A. (2008). “Progressive collapse of the world trade center: simple analysis.” J. Engineering Mechanics, 134(2), pp. 125–132.
Stevens, D., Crowder, B., Hall, B., and Marchand, K. (2008). “Unified progressive collapse design requirements for DOD and GSA.” Proc. Structures Congress-Crossing Borders, Vancouver, Canada.
Sucuoglu, H., Citipitioglu, E., and Altin, S. (1994). “Resistance mechanisms in RC building frames subjected to column failure.” J. Struct Eng., ASCE, 120(3), pp. 765–782.
Tsai, M. and Lin, B. (2008). “Investigation of progressive collapse resistance and inelastic response for an earthquake-resistant RC building subjected to column failure.” Engineering Structures Journal, 30, pp. 3619–3628.
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Note.-Discussion open until May 1, 2013. This manuscript for this paper was submitted for review and possible publication on October 19, 2011; approved on November 29, 2012.
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Naji, A., Irani, F. Progressive collapse analysis of steel frames: Simplified procedure and explicit expression for dynamic increase factor. Int J Steel Struct 12, 537–549 (2012). https://doi.org/10.1007/s13296-012-4008-0
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DOI: https://doi.org/10.1007/s13296-012-4008-0