Kinematically Admissible Failure Mechanisms for Plane Trusses

Kłosowska, Joanna; Obara, Paulina; Turant, J.

doi:10.1088/1757-899x/245/2/022022

Cited by 5 publications

(6 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…That results from a quick increment in the number of mechanisms with an increasing number of rods, which is decisive for the duration of computations. However, formulas (6) and (7) do not reveal the elements contained in a specific mechanism. Additionally, they do not make it possible to establish the type of relation between elements, i.e.…”

Section: Kinematically Admissible Failure Mechanisms For Truss Towersmentioning

confidence: 97%

“…The system is not a mechanism if all eigen values λ have a positive value. The mechanism will be found if any of eigen values i equals zero, and the mechanism form is defined by the eigenvector corresponding to the value i [6]. In order to carry out spectral analysis of the linear stiffness matrix the program developed by the authors in the Mathematica environment is applied.…”

Section: Kinematically Admissible Failure Mechanisms For Truss Towersmentioning

confidence: 99%

“…In this case structural characteristics of the building must be taken into account, i.e. interaction of the structural elements in the load-carrying system [3,[5][6][7][8]. In the paper, the system approach is used to assess the reliability.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

System-reliability analysis of steel truss towers

2018

Self Cite

View full text Add to dashboard Cite

Steel truss towers are important structures in civil engineering, used as, for example, antenna towers, architectural towers, transmission towers, chimney towers, light towers, viewing towers, or water towers. In the paper, the latter structural type is analysed. Three types of truss towers with different topology are discussed. The towers are designed according to the standards. Next, reliability analysis is performed and the influence of type of truss topology on reliability is analysed. Reliability analysis concerns formulation of the limit state, calculation of failure probability and determination of reliability index. In the paper, the system approach is proposed, definitely more complete than that obtained using approximation-simulation methods. In the case of structures analysed in the paper, the types of reliability models are determined. Identification of reliability models relies on studies on the transformation of the safe structural system into the geometrically variable system (mechanism). The investigations made it possible to determine the kinematically admissible failure mechanisms which contain minimal critical sets of elements. In order to identify the mechanism, spectral analysis of the linear stiffness matrix is used. In the case of the towers of concern, the formulas specifying the number of mechanisms for any number of repeating sections are determined.

show abstract

Section: Kinematically Admissible Failure Mechanisms For Truss Towersmentioning

confidence: 97%

Section: Kinematically Admissible Failure Mechanisms For Truss Towersmentioning

confidence: 99%

See 1 more Smart Citation

System-reliability analysis of steel truss towers

2018

Self Cite

View full text Add to dashboard Cite

show abstract

“…Failure of all elements included in the MCSE leads to transformation of the safe structural system into a mechanism -a system of incomplete fixity. To determine the reliability model, spectral analysis (Kłosowska et al, 2017;Mochocki et al, 2018b) of the linear stiffness matrix was used…”

Section: Reliability Modelmentioning

confidence: 99%

“…The system approach includes both determination of reliability models and reliability analysis. This type of the reliability analysis was used, among others, in (Biegus, 1977; Thoft-Christensen and Baker, 1982; Woliński and Wróbel, 2001;Park et al, 2004;Kłosowska et al, 2017;Kubicka et al, 2019;Mochocki et al, 2018a,b;Mochocki and Radoń, 2019).…”

Section: Introductionmentioning

confidence: 99%

Impact of the wind load probability distribution and connection types on the reliability index of truss towers

Mochocki¹,

Obara²,

Radoń³

2020

Journal of Theoretical and Applied Mechanics

Self Cite

View full text Add to dashboard Cite

The paper concerns the analysis of reliability of three truss towers performed with the system approach. The first stage of the reliability analysis involved determination of the reliability index for trusses while assuming the same reliability of elements. In the second stage, assessment of the reliability was made according to Eurocodes. The impact of the wind load probability distribution and connection types in towers on their reliability was analysed. In the capacity function, the following random variables were taken into account: cross-sectional area, yield strength, modulus of elasticity, minimum moment of inertia, and length of the element.

show abstract