Abstract

Abstract This paper presents optimization of the reliability system for different Strut and Tie models of beams loaded with a torsional and bending moment. In this paper, three STMs depending on the angle of diagonal strut were compared. The presented beam models have a serial system reliability. In the analyses, the full correlation of the top chord of truss - upper reinforcement, full correlation of bottom chord of truss - compression concrete, full correlation of members mapping individual stirrups and concrete in diagonals between stirrups. Estimation of the reliability of the adopted structures was carried out in a software package of Strurel. The variables of concrete, and steel strength as well as concentrated load magnitude were described by a mean value, a standard deviation and a type of distribution. Summing up the results of the analysis, it was noted, that methods for reliability estimation using information about the model’s reliability structure are an excellent alternative to time consuming simulation methods. These methods allow not only to estimate the reliability of the structure, but also to determine the impact of individual members on the reliability of the entire element.

Highlights

  • This paper presents optimization of the reliability system for different Strut and Tie models of beams loaded with a torsional and bending moment

  • The variables of concrete, and steel strength as well as concentrated load magnitude were described by a mean value, a standard deviation and a type of distribution

  • The paper presents the probabilistic assessment of system reliability for different strut-and-tie model (STM) of beams loaded with a torsional moment, bending moment as well as a shear force

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Summary

Reliability structures of STM’s

From the point of view of reliability, the assumption that a technical object is a simple object is in practice often unjustified. Buda-Ożóg nents on the reliability of the whole object Such systems usually do not show similarity to the modelled structure and are called heuristic models. There are several methods to assess the reliability of certain non-renewable systems that can be implemented in the analysis of the reliability of limit states of load bearing capacity of building elements and structures. The probability of the failure of a system with a serial reliability structure is determined by the formula: Pf = 1 − ∏︁ (︀1 − P )︀. The probability of a failure of a system with a parallel reliability structure is determined by the formula:. In the presented methods of analysing the reliability structure of complex technical objects and assessing their reliability, it was assumed that the failures of individual system components are independent events. Systems with different reliability structures consist of correlated members or groups of members.

Subject of analysis
System reliability of analysed STM’s
Conclusion
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