Risk-based cost-benefit analysis of frame structures considering progressive collapse under column removal scenarios

Beck, André Teófilo; Ribeiro, Lucas da Rosa; Valdebenito, Marcos A.

doi:10.1016/j.engstruct.2020.111295

Cited by 23 publications

(6 citation statements)

References 32 publications

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“…Meanwhile, the same group of researchers took a wide range (10 −4 -10 −8 ) for cost-benefit analysis (Grant & Stewart, 2015;Stewart, 2017;Thons & Stewart, 2019), and concluded that risk reduction strategies are not worthy unless the likelihood goes above 10 −3 per building per year. This finding was corroborated by Beck, da Rosa Ribeiro, and Valdebenito (2020) using load and resistance factors method for different reinforced concrete structures, and more recently, also by this this study by using a novel risk-based robustness assessment method for frames .…”

Section: Introductionsupporting

confidence: 81%

Robustness-Based Optimal Progressive Collapse Design of Reinforced Concrete

Praxedes Silva Neto

2023

Preprint

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Progressive collapse of structures is a cascading failure phenomenon with a failure consequence that is disproportionate to the direct damage of an initiating event. The Ronan Point Building collapse in 1968 triggered the start of research on disproportionate progressive collapse in building structural engineering. Intense research was followed after the Alfred P. Murrah Federal Building bombing in 1995 and the disastrous collapse of the World Trade Centre after aircraft strikes. Progressive collapse has essentially two distinct features: system- rather than component-level responses, and low probability and high consequences. The majority of existing design codes and standards consider progressive collapse implicitly, by improving the performance of a structure through the specification of minimum levels of strength, continuity, and ductility. On the other hand, existing explicit design procedures largely consist of a component-based design approach. This study proposes an innovative system-based and risk-informed decision making framework for progressive collapse design of reinforced concrete frames. Considering the full spectrum of risk due to initiating events, a novel risk-based robustness index is proposed as a system-level performance criterion for design. From a conventionally designed structure, an optimization pro- cess identifies optimal allocation of resources that results in a robust system. An efficient design frontier is defined based on optimal designs when varying the additional expenses provided for the improvement of robustness of a structure. The efficient frontier is then used to verify the cost effectiveness of the design alternatives in conjunction with the cumulative prospect theory. In order to assist in the decision-making process of progressive collapse design provisions, a risk-cost trade-off framework is proposed. The design framework establishes whether additional resources must be used to enhance the robustness of a structure, and when required, it further identifies the optimal expenses that should be used to prevent potential progressive collapse.

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Section: Introductionsupporting

confidence: 81%

Robustness-Based Optimal Progressive Collapse Design of Reinforced Concrete

Praxedes Silva Neto

2023

Preprint

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“…The reliability analysis of the frames is performed considering ten random variables, presented in Table 4. The live load random variable in column loss scenarios follows [14], taken with arbitrary-point-in-time values and Gamma distribution, as the damaged frame is not expected to withstand its lifetime maximum live load. All the beams were loaded by the same live load random variable simultaneously.…”

Section: Random Variables For Reliability Analysismentioning

confidence: 99%

“…), hazard probabilities are usually small (between 10 -6 and 10 -5 for typical hazards like explosions and fire). References [14]- [16] address the hazard probabilities for which the APM design becomes cost-effective, from a risk-management perspective.…”

Section: Introductionmentioning

confidence: 99%

Distribution of load effects and reliability of reinforced concrete frames: intact and with columns removed

Facholli

Beck

2022

Rev. IBRACON Estrut. Mater.

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The design of reinforced concrete (RC) frames is made on a member-by-member basis. Similarly, in the literature, the reliability of RC beams and columns is often studied in isolation from the rest of the structure. Yet, in the construction of regular frames, symmetry and regularity are often exploited, resulting in the same design for each element type. This is despite of different load effects on different parts of the structure, which leads to significant variations in the failure probability of the elements. Hence, in this paper, we investigate the reliability of members and the distribution of load effects in regular RC frame buildings, considering intact and column loss cases, where symmetry is lost. Results show that the ratios of normal-to-bending loads change significantly along building height, and this has a significant impact on reliability of individual columns.

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“…There is also much other work related to the use of probabilistic methods to estimate the safety and reliability of structures subject to explosive blast loading, such as Yasseri (2003), Ellingwood (2006, 2007); Olmati et al (2014, 2017); Le and Xue (2014); Eamon (2007); Razaqpur et al (2012); Kelliher and Sutton-Swaby (2012); Song (2020); Beck et al (2020) and Qi et al (2022).…”

Section: Stochastic Approaches To Blast-resistant Design and Damage A...mentioning

confidence: 99%

Reliability-based design and robustness for blast-resistant design of RC buildings

Stewart

2022

Advances in Structural Engineering

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Explosive blasts from accidental or malevolent sources constitute an extreme event resulting in abnormal loads on buildings and other structures. A reinforced concrete (RC) multistorey building is assumed to be attacked by a terrorist vehicle-borne improvised device. Structural reliabilities are calculated for each RC column in the multistorey building exposed directly to the blast event. The probability of progressive collapse for the building is then estimated using system reliability analysis comprising of ground floor columns exposed to the explosive blast. The RC columns are designed according to United States blast-resistant design standard based on (i) threat dependent and (ii) alternate path design methods. The effects of threat dependent and alternate path design methods on column sizing, column reliability, and building collapse probability are investigated by conservatively assuming that collapse occurs if one or more columns fail. The robustness is also dependent on the location of the explosive. It was also found that a threat-dependent design appears to be more effective than the alternate path method in reducing building collapse risks.

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Risk-based cost-benefit analysis of frame structures considering progressive collapse under column removal scenarios

Cited by 23 publications

References 32 publications

Robustness-Based Optimal Progressive Collapse Design of Reinforced Concrete

Robustness-Based Optimal Progressive Collapse Design of Reinforced Concrete

Distribution of load effects and reliability of reinforced concrete frames: intact and with columns removed

Reliability-based design and robustness for blast-resistant design of RC buildings

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