Sensitivity analysis of critical forces of trusses with side bracing

Iwicki, Piotr

doi:10.1016/j.jcsr.2010.02.004

Cited by 14 publications

(4 citation statements)

References 6 publications

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“…The discussion begins with the case where the discriminant is positive [1], [2] (i.e., for small values of λ and large values of k).…”

Section: Casementioning

confidence: 99%

Theoretical Study regarding the General Stability of Upper Chords of Truss Bridges as Beams on Elastic Foundation

Răcănel

2023

Preprint

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New or in-service truss bridges, with or without upper bracing systems, may display instability phenomena such as general lateral torsional buckling of the upper chord. The buckling of structural elements, particularly in the case of steel bridges, can be associated with the risk of collapse or temporary/permanent withdrawal from service. Buckling poses a significant danger as it often occurs at lower load values compared to those considered during the design phase. Additionally, this phenomenon can manifest suddenly, without prior warning, rendering intervention for its prevention impossible or futile. In contemporary times, most research and design calculation software offer the capability to establish preliminary values for buckling loads, even for highly intricate structures. This is typically achieved through linear eigenvalue buckling analyses, often followed by significantly more complex large displacement nonlinear analyses. However, interpreting the results for complex bridge structures can be challenging, and their accuracy is difficult to ascertain. Consequently, the objective of this paper is to introduce an original method for a more straightforward estimation of the buckling load of the upper chord in steel truss bridges. The method utilizes the theory of beams on an elastic foundation. The buckling load of the upper chord was determined using both the finite element method and the proposed methodology, yielding highly consistent results.

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“…The discussion begins with the case where the discriminant is positive [1], [2] (i.e., for small values of λ and large values of k).…”

Section: Casementioning

confidence: 99%

Theoretical Study regarding the General Stability of Upper Chords of Truss Bridges as Beams on Elastic Foundation

Răcănel

2023

Preprint

View full text Add to dashboard Cite

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“…Thus, in Refs. [9,10], the results of studies regarding the influence of upper bracing systems on the stability loss mode of compressed chords in truss bridges are presented. Additionally, the issue of the position of bracing systems is addressed, including their composition (solely diagonals, solely cross beams, or combinations thereof) and the number of bracing planes.…”

Section: Introductionmentioning

confidence: 99%

Theoretical Study Regarding the General Stability of Upper Chords of Truss Bridges as Beams on Continuous or Discrete Elastic Supports

Răcănel

2024

Infrastructures

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New or in-service truss bridges, with or without upper bracing systems, may display instability phenomena such as general lateral torsional buckling of the upper chord. The buckling of structural elements, particularly in the case of steel bridges, can be associated with the risk of collapse or temporary/permanent withdrawal from service. Such incidents have occurred in the case of several bridges in different countries: the collapse of the Dee bridge with truss girders in 1847 in Cheshire, England; the collapse of the semi-parabolic truss girder bridge near Ljubičevo over the Morava River in Serbia in 1892; the collapse of the Dysart bridge in Cambria County, Pennsylvania in 2007; the collapse of the Chauras bridge in Uttarakhand, India in 2012; and the collapse of a bridge in Nova Scotia, Canada (2020), and such examples may continue. Buckling poses a significant danger as it often occurs at lower load values compared to those considered during the design phase. Additionally, this phenomenon can manifest suddenly, without prior warning, rendering intervention for its prevention impossible or futile. In contemporary times, most research and design calculation software offer the capability to establish preliminary values for buckling loads, even for highly intricate structures. This is typically achieved through linear eigenvalue buckling analyses, often followed by significantly more complex large displacement nonlinear analyses. However, interpreting the results for complex bridge structures can be challenging, and their accuracy is difficult to ascertain. Consequently, this paper aims to introduce an original method for a more straightforward estimation of the buckling load of the upper chord in steel truss bridges. This method utilizes the theory of beams on discrete elastic supports. The buckling load of the upper chord was determined using both the finite element method and the proposed methodology, yielding highly consistent results.

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“…Appropriate choice of battens which are used to provide interaction between separate components of the bars with built-up cross section has significant influence on load bearing capacity of the structure. The main purpose of the present paper are stability and load bearing capacity analysis for the part of top chord of the truss made in reality and described in [4]. It was assumed that distance between the side braces of the truss was equal to 4,8 m and it was a base for the length of the analyzed bar.…”

Section: Introductionmentioning

confidence: 99%

Stability and Load Bearing Capacity of a Bars with Built up Cross Section and Elastic Supports / Badania Stateczności I Nosności Prętów Złożonych Z Podporami Sprężystymi

Krajewski¹

2023

Civil and Environmental Engineering Reports

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The present paper is devoted to the numerical analysis and experimental tests of compressed bars with built-up cross section which are commonly used as a top chord of the roof trusses. The significant impact on carrying capacity for that kind of elements in case of out-of-plane buckling is appropriate choice of battens which are used to provide interaction between separate members. Linear buckling analysis results and nonlinear static analysis results, with material and geometrical nonlinearity, are presented for the bar with built-up cross section which was used as the top chord of the truss made in reality. Diagonals and verticals which are supports for the top chord between marginal joints were replaced by the elastic supports. The threshold stiffness (minimum stiffness) for the intermediate elastic supports which ensures maximum buckling load was appointed for the beam and shell model of the structure. The magnitude of limit load depended on length of the battens was calculated for models with initial geometric imperfections. The experimental tests results for the axially compressed bars with builtup cross section and elastic support are presented.

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Sensitivity analysis of critical forces of trusses with side bracing

Cited by 14 publications

References 6 publications

Theoretical Study regarding the General Stability of Upper Chords of Truss Bridges as Beams on Elastic Foundation

Theoretical Study regarding the General Stability of Upper Chords of Truss Bridges as Beams on Elastic Foundation

Theoretical Study Regarding the General Stability of Upper Chords of Truss Bridges as Beams on Continuous or Discrete Elastic Supports

Stability and Load Bearing Capacity of a Bars with Built up Cross Section and Elastic Supports / Badania Stateczności I Nosności Prętów Złożonych Z Podporami Sprężystymi

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