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The probabilistic model for system reliability analysis of a steel plane and spatial trusses
 
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Kielce University of Technology, Kielce, Poland
 
 
Submission date: 2023-10-30
 
 
Final revision date: 2023-12-17
 
 
Acceptance date: 2023-12-19
 
 
Online publication date: 2024-03-14
 
 
Publication date: 2024-04-30
 
 
Corresponding author
Katarzyna Kubicka   

Faculty of Civil Engineering and Architecture/ Department of Structural Theory and BIM, Kielce University of Technology, Poland
 
 
Journal of Theoretical and Applied Mechanics 2024;62(2):269-278
 
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ABSTRACT
The article focuses on the system reliability analysis of steel trusses (plane and spatial). The computations are realized by the use of a developed by the author C++ code. The following loads are taken into account: self-weight, weight of coverings, wind and snow. The limit state function is defined as a difference between the bearing capacity and the effect of action of an element. The paper presents how effective tool is the system reliability analysis compared with traditional structural design methods. The methods of transforming Gumbel distribution into normal and generating random variables are described.
 
REFERENCES (24)
1.
Biegus A., 1999, The Probabilistic Analysis of Steel Structures (in Polish), PWN, Warszawa-Wrocław.
 
2.
Breitung K., 2015, 40 years FORM: Some new aspects? Probabilistic Engineering Mechanics, 42, 71-77.
 
3.
Cai G.Q., Elishakoff I., 1994, Refined second-order reliability analysis, Structural Safety, 14, 4, 267-276.
 
4.
Ditlevsen O., 1987, On the choice of expansion point in FORM or SORM, Structural Safety, 4, 243-245.
 
5.
EN-1990: Basis of structural design. European standard, 2002, European Committee for standardization Annex B.
 
6.
Flood I., 2008, Towards the next generation of artificial neural networks for civil engineering, Advanced Engineering Informatics, 22, 4-14.
 
8.
Hu Z., Mansour R., Olsson M., Du X., 2021, Second-order reliability methods: a review and comparative study, Structural and Multidisciplinary Optimization, 64, 3233-3263.
 
9.
Keshtegar B., Meng Z., 2017, A hybrid relaxed first-order reliability method for efficient structural reliability analysis, Structural Safety, 66, 84-93.
 
10.
Kubicka K., 2022, The new method of searching cut-sets in the system reliability analysis of plane steel trusses, Applied Sciences, 12, 10, 1-19.
 
11.
Kubicka K., Obara P., Radoń U., Szaniec W., 2019, Assessment of steel truss fire safety in terms of the system reliability analysis, Archives of Civil and Mechanical Engineering, 19, 2, 417-427.
 
12.
Kubicka K., Radoń U., 2018, Influence of randomness of buckling coefficient on the reliability index’s value under fire conditions, Archives of Civil Engineering, 64, 3, 173-179.
 
13.
Kubicka K., Sokol M., 2023, Fire safety of plane steel truss according to system reliability analysis combined with FORM method: The probabilistic model and SYSREL computation, Applied Sciences, 13, 4, 2647.
 
14.
Mochocki W., Obara P., Radoń U., 2018, System-reliability analysis of steel truss towers, MATEC Web of Conference, 02001, 1-8.
 
15.
Murzewski J., 1989, Reliability of Engineering Structures (in Polish), Arkady, Warszawa.
 
16.
Melchers R.E., 1989, Importance sampling in structural systems, Structural Safety, 6, 1, 3-10.
 
17.
Papaioannou J., Breitung K., Straub D., 2018, Reliability sensitivity estimation with sequential importance sampling, Structural Safety, 75, 24-34.
 
18.
Park S., Choi S., Sikorsky C., Stubbs N., 2004, Efficient method for calculation of system reliability of a complex structure, International Journal of Solids and Structures, 41, 5035-5050.
 
19.
Potrzeszcz-Sut B., Dudzik A., 2022, The application of a hybrid method for the identification of elastic-plastic material parameters, Materials, 15, 12, 4139 1-16.
 
20.
Rausch Ch., Nahangi M., Haas C., Liang W., 2019, Monte Carlo simulation for tolerance analysis in prefabrication and offsite construction, Automation in Construction, 103, 300-314.
 
21.
Sharma M. K., 2020, Monte Carlo simulation applications for construction project management, International Journal of Civil Engineering and Technology, 11, 88-100.
 
22.
Śniady P., 2000, The Basics of Stochastic Dynamics of Structure (in Polish), Oficyna Wydawnicza Politechniki Wrocławskiej, Wrocław.
 
23.
Zabojszcza P., Radoń U., 2020, Stability analysis of the single-layer dome in probabilistic description by the Monte Carlo method, Journal of Theoretical and Applied Mechanics, 56, 2, 425-436.
 
24.
Zaeimi M., Ghoddosain A., 2020, System reliability based design optimization of truss structures with interval variables, Periodica Polytechnica Civil Engineering, 64, 1, 42-59.
 
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ISSN:1429-2955
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