Publication detail

Geometrically Non-linear Finite Element Reliability Analysis of Steel Plane Frames With Initial Imperfections

KALA, Z.

Original Title

Geometrically Non-linear Finite Element Reliability Analysis of Steel Plane Frames With Initial Imperfections

Type

journal article - other

Language

English

Original Abstract

The random load carrying capacity of steel plane frames with bracing stiffness is studied in the presented article. The load carrying capacity is evaluated using the geometrically non-linear FEM analysis. The incremental stiffness matrix of a slightly curved element utilized in the non-linear incremental analysis is listed. Initial imperfections are considered as random variables. Statistical analysis and Sobols sensitivity analysis are performed using the Latin Hypercube Sampling method. The effect of initial random imperfections on the load carrying capacity is studied, whilst assuming constant non-dimensional slenderness of the columns. The evaluation parameter is the pair of non-random values of elastic bracing stiffness and system length of the columns. The paper illustrates that the load carrying capacity is very sensitive to the initial crookedness (bow imperfections) of the columns in the event that the non-sway (symmetric) and sway (anti-symmetric) buckling modes coincide. In this case, the design load carrying capacity obtained from statistical analysis according to the EN1990 standard is relatively very small (of low safety). Results show that the reliability of design of a steel frame according to EUROCODE 3 is significantly misaligned. The significance of the first and second buckling forces as indicators of sensitivity of the load carrying capacity to the imperfections is discussed in the conclusion of the article.

Keywords

frame, steel, stability, strength, imperfections, failure, nonlinear, limit states, reliability, design.

Authors

KALA, Z.

RIV year

2012

Released

13. 7. 2012

Publisher

Taylor and Francis

ISBN

1392-3730

Periodical

Journal of civil engineering and management

Year of study

18

Number

1

State

Republic of Lithuania

Pages from

81

Pages to

90

Pages count

10

BibTex

@article{BUT97306,
  author="Zdeněk {Kala}",
  title="Geometrically Non-linear Finite Element Reliability Analysis of Steel Plane Frames With Initial Imperfections",
  journal="Journal of civil engineering and management",
  year="2012",
  volume="18",
  number="1",
  pages="81--90",
  issn="1392-3730"
}