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Archives of Civil Engineering

The Journal of Polish Academy of Sciences

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Volume 60, Issue 1

Instruments of Probabilistic Optimisation of Load Bearing Capacity and Reliability of Statically Indeterminate Complex Structures

Z. Kowal
Published Online: 2014-03-12 | DOI: https://doi.org/10.2478/ace-2014-0004


The paper presents the method of probabilistic optimisation of load bearing capacity and reliability of statically indeterminate bar structures, and of coupling of members in kinematically admissible failure mechanisms (KAFM), which contain minimal critical sets of elements (MCSE). The latter are characterised by the fact that if only a single element is operational, the whole set is operational too. A method of increasing load bearing capacity and reliability of KAFM built from bars dimensioned in accordance with the code is presented. The paper also shows estimation of load bearing capacity and reliability of KAFM of the optimised structures containing elastic-plastic bars with quasi-brittle connections with nodes. The necessity of increasing connection of load bearing capacity and reliability in relation to bar reliability in order to prevent bars from being excluded from MCSE due to connection fracture is estimated.

Keywords: load bearing capacity; reliability; probabilistic optimisation; complex structures


  • 1. BARYŁKA J., Collapses in Poland caused by climatic phenomena (in Polish). GUNB, Warszawa 30.09.2009. www.koalicjaklimatyczna.org/lang/pl/page/ conference materials /id/8/.Google Scholar

  • 2. GWÓŻDŻ M., MACHOWSKI A., Selected Problems and Building Structure Calculations with Probabilistic Methods (in Polish). Wyd. Politechniki Krakowskiej, Kraków 2011.Google Scholar

  • 3. DZIUBDZIELA W., KOPOCIŃSKI B., KOWAL Z., Ultimate bearing capacity of structural systems with minimal critical sets having connection elements in pairs. Archives of Mechanics 25, 5 / 1973, pp. 719-731.Google Scholar

  • 4. KOPOCIŃSKI B., Outline of Theory of Rehabilitation and Reliability (in Polish), PWN, Warszawa 1973.Google Scholar

  • 5. KOWAL Z.,Zuverlassigkeit von Konstruktionssystemen. Wissenschaftliche Zeitschrift der Technischen Universitat Dresden 25 / 1976 H. 1 / 2, pp. 265-270.Google Scholar

  • 6. KOWAL Z., Probabilistic Optimisation of Bearing Capacity of Columns in Conventional Halls. ZNPR nr 283, Z. 59 (2/2012/II), pp. 185-192.Google Scholar

  • 7. KOWAL Z., On Adjusting the Load Bearing Capacity of Decisive Members to Reliability Classes of Statically Determinate Complex Structures. Archives of Civil Engineering, LIX, 1, 2013, pp. 132-142.Google Scholar

  • 8. KOWAL Z., The formation of space bar structures supported by the system reliability theory, Arch. of Civil and Mechanical Engineering, Vol. XI, No. 1, 2011. Polish Ac. of Sciences - Wrocław Branch., Wrocław Univ. of Technology.Google Scholar

  • 9. KOWAL Z., Hazards associated with the load-bearing capacity of bar space structures during assembly and performance. Promysłowe budiwnyctwo ta inżenerni sporudy, Kiev, 2011, Nr 3, pp. 34-40.Google Scholar

  • 10. KOWAL Z., Dimensioning Bar Connections in Trusses from the Structure Reliability Standpoint (in Polish). Conference paper, Krynica 2010, T. Problemy badawcze budownictwa, pp. 675-682.Google Scholar

  • 11. MURZEWSKI J., Reliability of Engineering Structures (in Polish), Arkady, Warszawa 1989.Google Scholar

  • 12. Eurocode PN-EN - 1990:2002 Fundamentals of Structural Design with Appendix B.Google Scholar

  • 13. PN-EN 1991-1-5:2005, Eurocode 1: Actions on Structures.Google Scholar

  • 14. Eurocode PN-EN - 1993 Design of Steel Structures.Google Scholar

  • 15. ZIELIŃSKI R., Statistical Tables (in Polish), PWN, Warszawa 1972. Google Scholar

About the article

Received: 2013-06-04

Revised: 2014-02-27

Published Online: 2014-03-12

Published in Print: 2014-03-01

Citation Information: Archives of Civil Engineering, Volume 60, Issue 1, Pages 77–90, ISSN (Online) 1230-2945, DOI: https://doi.org/10.2478/ace-2014-0004.

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© Polish Academy of Sciences. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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