Application of Probabilistic Methods for the Assessment of Structural Load Bearing Capacity


Article Preview

The paper presents the application of methodology for the assessment of reliability and structural load bearing capacity using advanced methods of probabilistic FEM analysis in combination with mathematical modelling of degradation processes of concrete and reinforcement. The durability, serviceability and ultimate limit states are assessed. The authors deal with the validation of load bearing capacity of the bridge on the 3rd class road built in the 1st quarter of 20th century in the Czech Republic. Regarding the reliability requirements according to Standards and, considering the current state of the structure, the actual value of load bearing capacity is assessed. By reason of the time-consuming FEM analyses the stratified Latin Hypercube Sampling (LHS) method is used for generation of input random variables.



Edited by:

Michaela Kostelecká




J. Doležel et al., "Application of Probabilistic Methods for the Assessment of Structural Load Bearing Capacity", Advanced Materials Research, Vol. 1106, pp. 90-93, 2015

Online since:

June 2015




* - Corresponding Author

[1] Czech Standardization Institute, ČSN ISO 13822: Bases for design of structures – Assessment of existing structures (in Czech), Prague, (2005).

[2] Pontex, Inc., Diagnostic survey: Bridge No. 00431-3 (in Czech), Prague, (2012).

[3] Czech Office for Standards, Metrology and Testing, ČSN 73 6222: Load bearing capacity of road bridges (in Czech), Prague, (2013).

[4] B. Teplý, M. Chromá, D. Vořechovská and P. Rovnaník, FReET-D Deterioration Module Program Documentation – Part 1: Theory, Brno/Cervenka Consulting, Prague, (2008).

[5] V. Červenka, L. Jendele and J. Červenka, ATENA Program Documentation – Part 1: Theory, Cervenka Consulting, Prague, (2007).

[6] Joint Committee on Structural Safety, JCSS Probabilistic Model Code, (2000).

[7] Ministry of Transport, Department of Road-traffic Infrastructure, TP 224: Verification of existing concrete road bridges (in Czech), Prague, (2010).

[8] M. Vořechovský and D. Novák, Correlation control in small-sample Monte Carlo type simulations I: A simulated annealing approach, J. Prob. Engineering Mechanics 24 (2009) 452–462.


[9] Czech Standardization Institute, ČSN EN 1992-2: Eurocode 2 – Design of structures – Part 2: Concrete bridges – Design and detailing rules (in Czech), Prague, (2007).

Fetching data from Crossref.
This may take some time to load.