Risk-Based Design of Regular Plane Frames Subject to Damage by Abnormal Events: A Conceptual Study

André T. Beck, Lucas Da Rosa Ribeiro, Marcos Valdebenito, Hector Jensen

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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.

Original languageEnglish
Article number04021229
JournalJournal of Structural Engineering (United States)
Issue number1
StatePublished - 1 Jan 2022
Externally publishedYes


  • Alternative path method
  • Discretionary column removal
  • Optimal design
  • Probability threshold
  • Progressive collapse
  • Regular frame structures
  • Risk optimization
  • Structural reliability


Dive into the research topics of 'Risk-Based Design of Regular Plane Frames Subject to Damage by Abnormal Events: A Conceptual Study'. Together they form a unique fingerprint.

Cite this