A Single-Story Analogy to Estimate Progressive Collapse Displacement of Steel Moment Frames
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TECHNICAL ARTICLE—PEER-REVIEWED
A Single-Story Analogy to Estimate Progressive Collapse Displacement of Steel Moment Frames Arash Naji
Submitted: 17 April 2019 Ó ASM International 2019
Abstract A simplified model to evaluate progressive collapse response of steel beam–column substructures under mid-span column removal scenario is presented in this paper. The influence of the span to depth ratio of the beam on progressive collapse behavior of substructures is considered in the formulation. The model is carefully validated against results obtained from rigorous numerical analyses. Finally, a single-story analogy is proposed to derive explicit expressions for progressive collapse displacement based on the energy conservation principle. The expressions covering the full range of loading—including interaction between the bending moments and beam axial load—and problem variables likely to be encountered in practice are derived. These explicit expressions can be applied in a step-by-step consideration for tracing nonlinear behavior up to failure. Keywords Progressive collapse Steel moment frames Energy-based method Simplified analysis Column-removed point displacement
Two famous guidelines for progressive collapse analysis and design, i.e., GSA and DOD [8] utilize tie force (TF) and alternate load path (ALP) method to quantify the progressive collapse resistance of structures. In the tie force (TF) procedure, the ties among the structural members must guarantee structural unity in a quantitative fashion. However, Abruzzo et al. [1], Naji et al. [23] and Yi et al. [37] have revealed that the present TF method is insufficient to progressive collapse design. Nonetheless, ALP is an event-independent procedure not considering the cause of prime damage action, alternatively calculating the response of structure after the initial failure. This procedure is primarily governed by a column removal from first story of the structure [29]. The GSA and DOD performed three analysis methods: linear static, nonlinear static and nonlinear dynamic. Between these three analysis techniques, the nonlinear dynamic analysis reveals the most reliable outcomes [6, 10, 17, 26–28, 31, 33]. While the nonlinear dynamic analysis of frames takes too much time, proposing simpler and approximate techniques are very helpful [12–14, 19, 20, 22, 35].
Introduction Damage in a key structural element leading to disproportional partial or complete system collapse is defined as progressive collapse. The structural engineering community is altered to this phenomenon by the collapse of Ronan Point apartment in London [16, 18] and Alfred P. Murrah building [7]. However, the most current occurrence of the collapse of the WTC building [3–5, 32] provoked more study on this topic. A. Naji (&) Sadjad University of Technology, Mashhad, Iran e-mail: [email protected]
Review of Preceding Energy-Based Papers Various works on the progressive collapse analysis of steel moment frames have been performed lately. Dusenberry and Hamburger [9] proposed two disciplin
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