Reliability-based resistance of RC element subjected to membrane action and their sensitivity to uncertainties

Botte, Wouter; Droogné, Didier; Caspeele, Robby

doi:10.1016/j.engstruct.2021.112259

Cited by 4 publications

(4 citation statements)

References 29 publications

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“…The standardized regression coefficients obtained in this analysis provide a direct measure of the relative importance of the input variables on the model output, and can be considered as a special case of Sobol sensitivity indices. 49,50 Herein, positive values indicate that in an increase in the corresponding variable will result in an increase in the output of the model (i.e., the 3 and 4, for span lengths of 8 and 12.8 m, respectively.…”

Section: Sensitivity Analysismentioning

confidence: 99%

“…To quantify the influence of the variables in Table 2 on the ultimate CMA capacity, a multivariate regression‐based sensitivity analysis is performed. The standardized regression coefficients obtained in this analysis provide a direct measure of the relative importance of the input variables on the model output, and can be considered as a special case of Sobol sensitivity indices 49,50 . Herein, positive values indicate that in an increase in the corresponding variable will result in an increase in the output of the model (i.e., the ultimate capacity).…”

Section: Probabilistic Assessmentmentioning

confidence: 99%

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Capacity and failure modes of restrained hollow core slabs taking into account compressive membrane action

Thienpont

Coile

Corte

et al. 2023

Structural Concrete

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The formation of compressive membrane action in restrained precast concrete hollow core slabs is investigated, and how it affects the load bearing capacity and failure mode under excessive loading. To this end, attention is oriented to a recently completed experimental campaign specifically aimed at quantifying this phenomenon in real‐scale hollow core slabs. The outcomes of this experimental campaign are then analyzed using a validated finite element model, to further study the effects of compressive membrane action on the structural behavior of hollow core slabs. From the numerical evaluations, it can be concluded that the ultimate capacity and failure mode of restrained hollow core slabs strongly depend on the restraint conditions, as well as the span‐to‐depth ratio. The results also indicate that in some cases the failure is caused by crushing of concrete in the top flange, which is typically not observed in case of simply supported boundary conditions. Additionally, the influence of the inherent uncertainties associated with material properties and geometry on the ultimate capacity and failure mode of restrained hollow core slabs is investigated. Probabilistic model evaluations are performed for a wide range of boundary conditions. The results indicate a very high influence of the uncertainty on the concrete tensile strength on the membrane action in precast hollow core slabs.

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Section: Sensitivity Analysismentioning

confidence: 99%

Section: Probabilistic Assessmentmentioning

confidence: 99%

Capacity and failure modes of restrained hollow core slabs taking into account compressive membrane action

Thienpont

Coile

Corte

et al. 2023

Structural Concrete

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“…To evaluate the level of safety associated to LPHC events, quantitative risk analysis in probabilistic terms is considered to be a reliable methodology, since it allows to deal with the uncertainties that affect the engineering problems [2]. For example, in [3] a sensitivity analysis to evaluate the bearing capacity of different reinforced concrete (RC) structural members against the removal of a central support is performed. The uncertainties in the collapse demands and resisting capacities of the connections in momentresisting steel frames is evaluated in [4].…”

Section: Introductionmentioning

confidence: 99%

Evaluation of the Failure Probability of a 2D RC Frame Subjected to Column Loss

Castaldo¹,

Miceli²

2023

J. Mod. Mech. Eng. Technol.

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This study regards the evaluation of the failure probability of a symmetrical 2D reinforced concrete frame composed of 4 spans and 5 floors, in case of an accidental event which causes the central base column loss. The frame is an internal one of a typical building designed in a highly seismic area, characterised by a high ductility class. The frame is modelled in the non-linear finite elements software Atena 2D, accounting for both geometrical and material non-linearities. The uncertainties relevant to the problem are included by sampling both material and action variables, adopting the Latin Hypercube Sampling technique. To compute the failure probability associated to the accidental scenario, two sets of analyses are considered: the first set to compute the capacity of the structure against the column removal by means of displacement-controlled pushdown analysis; the second set to evaluate the demand in terms of external loads, properly combined within the accidental combination according to the codes. The external load is then amplified in order to include the dynamic effects characterising a scenario of a structural member loss. Finally, the probability of the demand exceeding the capacity is evaluated.

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“…Progressive collapse triggered by extreme events is often accompanied by catastrophic losses in terms of human lives and the economy, e.g., as experienced in the 1995 Alfred P. Murrah Federal Building collapse [1][2][3][4][5]. Therefore, the robust design of structures has gained importance during the last decades [6,7].…”

Section: Introductionmentioning

confidence: 99%

Performance Assessment of an Energy–Based Approximation Method for the Dynamic Capacity of RC Frames Subjected to Sudden Column Removal Scenarios

et al. 2021

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The alternative load path method is widely used to assess the progressive collapse performance of reinforced concrete structures. As an alternative to an accurate non–linear dynamic analysis, an energy–based method (EBM) can also be adopted to approximately calculate the dynamic load–bearing capacity curve or the dynamic resistance based on a static capacity curve. However, dynamic effects cannot be explicitly taken into account in the EBM. The model uncertainty associated with the use of the EBM for evaluating the dynamic ultimate capacity of structural frames has not yet been quantified. Knowledge of this model uncertainty is however necessary when applying EBM as part of reliability calculations, for example, in relation to structural robustness quantification. Hence, this article focuses on the evaluation of the performance of the EBM and the quantification of its model uncertainty in the context of reliability–based assessments of progressive or disproportionate collapse. The influences of damping effects and different column removal scenarios are investigated. As a result, it is found that damping effects have a limited influence on the performance of the EBM. In the case of an external column removal scenario, the performance of the EBM is lower as the response is not a single deformation mode according to the results in the frequency domain. However, a good performance is found in the case of an internal column removal scenario in which the assumption of a single deformation mode is found to be sufficiently adequate. Probabilistic models for the model uncertainties related to the use of the EBM compared to direct dynamic analyses are proposed in relation to both the resistances and the associated displacements. Overall, the EBM shows to be an adequate approximation, resulting in a small bias and small standard deviation for its associated model uncertainty.

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Reliability-based resistance of RC element subjected to membrane action and their sensitivity to uncertainties

Cited by 4 publications

References 29 publications

Capacity and failure modes of restrained hollow core slabs taking into account compressive membrane action

Capacity and failure modes of restrained hollow core slabs taking into account compressive membrane action

Evaluation of the Failure Probability of a 2D RC Frame Subjected to Column Loss

Performance Assessment of an Energy–Based Approximation Method for the Dynamic Capacity of RC Frames Subjected to Sudden Column Removal Scenarios

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