Risk-Based Design of Regular Plane Frames Subject to Damage by Abnormal Events: A Conceptual Study
Publication: Journal of Structural Engineering
Volume 148, Issue 1
Abstract
Constructed facilities should be robust with respect to the loss of load-bearing elements due to abnormal events. Yet, strengthening structures to withstand such damage has a significant impact on construction costs. Strengthening costs should be justified by the threat and should result in smaller expected costs of progressive collapse. In regular frame structures, beams and columns compete for the strengthening budget. In this paper, we present a risk-based formulation to address the optimal design of regular plane frames under element loss conditions. We address the threat probabilities for which strengthening has better cost-benefit than usual design, for different frame configurations, and study the impacts of strengthening extent and cost. The risk-based optimization reveals optimum points of compromise between competing failure modes: local bending of beams, local crushing of columns, and global pancake collapse, for frames of different aspect ratios. The conceptual study is based on a simple analytical model for progressive collapse, but it provides relevant insight for the design and strengthening of real structures.
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Data Availability Statement
The Mathematica algorithms and routines used to obtain results presented in this paper will be made available upon reasonable request.
Acknowledgments
Funding of this research project by Brazilian agencies CAPES (Brazilian Higher Education Council), CNPq (Brazilian National Council for Research, Grant No. 309107/2020-2), and joint FAPESP-ANID (São Paulo State Foundation for Research—Chilean National Agency for Research and Development, Grant No. 2019/13080-9) is also acknowledged. Valuable comments by the anonymous reviewers are also cheerfully acknowledged.
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Published In
Journal of Structural Engineering
Volume 148 • Issue 1 • January 2022
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Feb 10, 2021
Accepted: Jul 27, 2021
Published online: Oct 19, 2021
Published in print: Jan 1, 2022
Discussion open until: Mar 19, 2022
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