The New Method of Searching Cut-Sets in the System Reliability Analysis of Plane Steel Trusses

This paper focuses on the new method of searching cut-sets, which enables us to conduct the system reliability analysis for plane trusses. As the result of such, the analysis of the reliability index for the whole structure is obtained, not only for the single elements. In the case of truss structur...

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Main Author: Katarzyna Kubicka
Format: Article
Language:English
Published: MDPI AG 2022-05-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/10/5276
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author Katarzyna Kubicka
author_facet Katarzyna Kubicka
author_sort Katarzyna Kubicka
collection DOAJ
description This paper focuses on the new method of searching cut-sets, which enables us to conduct the system reliability analysis for plane trusses. As the result of such, the analysis of the reliability index for the whole structure is obtained, not only for the single elements. In the case of truss structures, the huge number of cut-sets could be generated if only the geometry of the structure is taken into account. Considering also the effects of actions and the load capacity, it is possible to reduce the number of cut-sets: what makes the whole analysis faster and more effective. The structures were considered not only in persistent design situations, but also in accidental-under-fire influence. The effect of action in individual elements was computed using the Robot Structural Analysis program. The temperature of the elements under fire load and the load-bearing capacity of the elements were calculated according to the Eurocode procedure in the Mathematica script. The proposed method allows to reduce the number of cut-sets, what makes the whole procedure of system reliability analysis much more efficient. All cut-sets were found by using a C++ console application prepared by author.
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spelling doaj.art-2d30b1c8538b454db493353575e29f3f2023-11-23T10:00:18ZengMDPI AGApplied Sciences2076-34172022-05-011210527610.3390/app12105276The New Method of Searching Cut-Sets in the System Reliability Analysis of Plane Steel TrussesKatarzyna Kubicka0Faculty of Civil Engineering and Architecture, Department of Structural Mechanics, Steel Structures and Computer Methods, Kielce University of Technology, al. Tysiąclecia Państwa Polskiego 7, 25-314 Kielce, PolandThis paper focuses on the new method of searching cut-sets, which enables us to conduct the system reliability analysis for plane trusses. As the result of such, the analysis of the reliability index for the whole structure is obtained, not only for the single elements. In the case of truss structures, the huge number of cut-sets could be generated if only the geometry of the structure is taken into account. Considering also the effects of actions and the load capacity, it is possible to reduce the number of cut-sets: what makes the whole analysis faster and more effective. The structures were considered not only in persistent design situations, but also in accidental-under-fire influence. The effect of action in individual elements was computed using the Robot Structural Analysis program. The temperature of the elements under fire load and the load-bearing capacity of the elements were calculated according to the Eurocode procedure in the Mathematica script. The proposed method allows to reduce the number of cut-sets, what makes the whole procedure of system reliability analysis much more efficient. All cut-sets were found by using a C++ console application prepared by author.https://www.mdpi.com/2076-3417/12/10/5276reliability system analysisplane steel trussesfire design situation
spellingShingle Katarzyna Kubicka
The New Method of Searching Cut-Sets in the System Reliability Analysis of Plane Steel Trusses
Applied Sciences
reliability system analysis
plane steel trusses
fire design situation
title The New Method of Searching Cut-Sets in the System Reliability Analysis of Plane Steel Trusses
title_full The New Method of Searching Cut-Sets in the System Reliability Analysis of Plane Steel Trusses
title_fullStr The New Method of Searching Cut-Sets in the System Reliability Analysis of Plane Steel Trusses
title_full_unstemmed The New Method of Searching Cut-Sets in the System Reliability Analysis of Plane Steel Trusses
title_short The New Method of Searching Cut-Sets in the System Reliability Analysis of Plane Steel Trusses
title_sort new method of searching cut sets in the system reliability analysis of plane steel trusses
topic reliability system analysis
plane steel trusses
fire design situation
url https://www.mdpi.com/2076-3417/12/10/5276
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