journal article·2021-08-30Open access

Probabilistic and Semi-Probabilistic Analysis of Slender Columns Frequently Used in Structural Engineering

Alfred Strauss, Michael Hauser, Benjamin Täubling, Ana Mandić Ivanković, Dominik Skokandić, José Matos, Neryvaldo Galvão, Vladimir Benko, Jakub Dobrý, Roman Wan-Wendner, Krešimir Ninčević, André Orcesi

Applied Sciences· Volume 11· Issue 17

Abstract

The stability of slender columns is a topic that has been dealt with in research and practice for many years. The importance of this topic also increases with the possibility of using non-linear modeling approaches to determine the stability and with the increasingly complex safety formats. In order to show the complexity and the variability associated with the non-linear models, two previous contributions discussed and compared (a) the results of the Round Robin Non-Linear Modeling, and (b) the existing international associated standard specifications and safety concepts with respect to experimental results. The aim herein is to determine the reliability level (safety index) on the basis of these investigations and findings and to examine the existing safety formats of classical and extended probabilistic analyses and to derive any necessary adjustments. In addition, the method of the safety format Estimation of Coefficient of Variance of resistance (ECOV) is used for the determination of the global safety resistance factors based on the non-linear analyses’ findings of the Round Robin modeling partners.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Structural Behavior of Reinforced Concrete · Structural Load-Bearing Analysis · Seismic Performance and Analysis

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Civil Engineering and Natural Hazards, University of Natural Resources and Life Sciences, 1190 Vienna, Austria

Faculty of Civil Engineering, University of Zagreb, 10000 Zagreb, Croatia

ISISE, Department of Civil Engineering, University of Minho, 4800-058 Guimarães, Portugal

Faculty of Civil Engineering, Slovak University of Technology in Bratislava, 81107 Bratislava, Slovakia

Department of Structural Engineering and Building Materials, Ghent University, 9052 Ghent, Belgium

Cerema, DTecITM/DTOA, 77447 Champs-sur-Marne, France

References (37)

Show source-provided references
1. JCSS (2021, August 18). JCSS Probabilistic Model Code. Available online: https://www.jcss-lc.org/jcss-probabilistic-model-code/.
2. Faber, M. (2012). Statistics and Probability Theory, Springer.10.1007/978-94-007-4056-3 ↗
3. Nichtlineare Berechnung von Stahlbetondruckglieder. (Nonlinear analysis of reinforced concrete compression members)
4. Round-Robin Modelling of the Load-bearing Capacity of Slender Columns by Using Classical and Advanced Non-linear Numerical and Analytical Prediction Tools10.1080/10168664.2020.1740069 ↗
5. Benko, V., Gúcky, T., and Valašík, A. (2017). The reliability of slender concrete columns subjected to a loss of stability. Advances and Trends in Engineering Sciences and Technologies II, Proceedings of the 2nd International Conference on Engineering Sciences and Technologies, ESaT 2016, Vysoké Tatry, Slovak Republic, 29 June–1 July 2016, Taylor & Francis.10.1201/9781315393827-10 ↗
6. Failure of Slender Concrete Columns Due to a Loss of Stability10.2478/sjce-2019-0007 ↗
7. CEB-FIP (2008). Practitioners’ Guide to Finite Element Modelling of Reinforced Concrete Structures, Fib Fédération Internationale du Béton.
8. EN 1992-1-1 (2004). Eurocode 2: Design of Concrete Structures—Part 1-1: General Rules and Rules for Buildings, European Standard.
9. Safety format for non-linear analysis of concrete structures10.1680/macr.11.00046 ↗
10. Holicky, M. (2011, January 2–3). Global resistance factors for reinforced concrete members. Proceedings of the 1st International Symposium on Uncertainty Modelling in Engineering, Prague, Czech Republic.
11. Cervenka, V. (2013, January 6–8). Global Safety formats in Fib Model Code 2010 for Design of Concrete Structures. Proceedings of the 11th Probabilistic Workshop, Brno, Czech Republic.
12. Reliability-based non-linear analysis according to Model Code 201010.1002/suco.201200022 ↗
13. Caspeele, R., Steenbergen, R., and Sykora, M. (2016). Partial Factor Methods for Existing Concrete Structures, FIB. FIB Bulletin No. 80.10.35789/fib.BULL.0080.Ch04 ↗
14. A quantification of modelling uncertainty for non-linear finite element analysis of large concrete structures10.1016/j.strusafe.2016.08.003 ↗
15. Partial safety factor for resistance model uncertainties in 2D non-linear analysis of reinforced concrete structures10.1016/j.engstruct.2018.09.041 ↗
16. Concrete compressive strength: From material characterization to a structural value10.1002/suco.202000211 ↗
17. Uncertainty Assessment for the Buckling Analysis of Glass Columns with Random Parameters
18. Mehmel, A., Schwarz, H., Karperek, K., and Makovi, J. (1969). Tragverhalten Ausmittig Beanspruchter Stahlbetondruckglieder, DafStb. Institut Für Baustatik, EHT, Deutscher Ausschuss für Stahlbeton, Heft. 204.
19. Experimental tests on eccentrically loaded high strength concrete columns
20. Global safety format for non-linear analysis of reinforced concrete structures10.1002/suco.201200017 ↗
21. Model uncertainties in numerical simulations of reinforced concrete structures10.1002/suco.201700287 ↗
22. Model uncertainty in non-linear numerical analyses of slender reinforced concrete members10.1002/suco.202000600 ↗
23. Ditlevsen, O., and Madsen, H. (1996). Structural Reliability Methods, John Wiley & Sons Ltd.
24. Ang, A.H., and Tang, W.H. (2007). Probability Concepts in Engineering Planning, John Wiley & Sons, Inc.. [2nd ed.].
25. Hendriks, M.A.N., de Boer, A., and Belletti, B. (2012). Guidelines for Nonlinear Finite Element Analysis of Concrete Structures: Girder Members, Rijkswaterstaat Ministry of Infrastructure and Water Management. Report RTD:1016:2012.
26. European Committee for Standardization (CEN) (2005). EN 1990, Eurocode 0: Basis of Structural Design, CEN: European Standard.
27. International Federation for Structural Concrete (FIB) (2010). Model Code for Concrete Structures, Ernst & Sohn.
28. FReET: Software for the statistical and reliability analysis of engineering problems and FReET-D: Degradation module10.1016/j.advengsoft.2013.06.011 ↗
29. Caspeele, R., Taerwe, L., and Frangopol, D.M. (2018). Non linear structural analyses of prestressed concrete girder: Tools and safety formats. Life-Cycle Analysis and Assessment in Civil Engineering. Towards an Integrated Vision, Proceedings of the Sixth International Symposium on Life-Cycle Civil Engineering, Ghent, Belgium, 28–31 October 2008, Taylor & Francis Group.10.1201/9781315228914 ↗
30. Quantification of model uncertainties for reinforced concrete columns subjected to fire10.1016/j.firesaf.2019.102832 ↗
31. Correlation among selected fracture-mechanical parameters of concrete obtained from experiments and inverse analyses10.1002/suco.201500147 ↗
32. Combined shear and flexure performance of prestressing concrete T-shaped beams: Experiment and deterministic modeling10.1002/suco.201700079 ↗
33. Reliability of slender columns10.1002/best.201700019 ↗
34. Červenka, V., Jendele, L., and Červenka, J. (2007). Atena Program Documentation—Part 1: Theory, Cervenka Consulting.
35. Tau, K., and Agresti, A. (2010). Analysis of Ordinal Categorical Data, John Wiley & Sons. [2nd ed.].10.1002/9780470594001 ↗
36. Safety analysis and reliability assessment of engineering structures—The success sotry of SARA10.1002/cepa.986 ↗
37. Gamma prediction models for long-term creep deformations of prestressed concrete bridges10.3846/13923730.2017.1335652 ↗