Interactive Plastic Local Buckling of Box-shaped Aluminium Members under Uniform Compression

The nonlinear stiffness equations that predict local and post-local buckling of plates and plate assemblies are given. These equations are validated by accurate predictions of independent test results. The elastic local buckling of longitudinally stiffened web plates in combined bending and compression is considered. Graphs which may be used to predict the optimum position of a stiffener are presented. The relationship between the area and second moment of area of a stiffener of finite dimensions that optimizes the local buckling coefficient is given for various eccentricities of end load. The post-local buckling of a longitudinally stiffened plate in uniform compression and pure bending is also considered. It is shown that the provision of a longitudinal stiffener, of proportions to enforce a node at the plate–stiffener junction, enhances significantly the postbuckling response of the plate with regard to the serviceability limit state, particularly for the case of pure bending. Key words: bending, compression, finite strips, local buckling, plates, postbuckling, stiffeners, webs.

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Numerical Modelling and Design of Aluminium Alloy Angles under Uniform Compression

CivilEng ◽

10.3390/civileng2030035 ◽

2021 ◽

Vol 2 (3) ◽

pp. 632-651

Author(s):

Evangelia Georgantzia ◽

Michaela Gkantou ◽

George S. Kamaris

Keyword(s):

Aluminium Alloy ◽

Cross Sections ◽

Numerical Study ◽

Local Buckling ◽

Design Standards ◽

Uniform Compression ◽

Cross Sectional ◽

Modified Method ◽

Aspect Ratios ◽

Modelling Assumptions

Research studies have been reported on aluminium alloy tubular and doubly symmetric open cross-sections, whilst studies on angle cross-sections remain limited. This paper presents a comprehensive numerical study on the response of aluminium alloy angle stub columns. Finite element models are developed following a series of modelling assumptions. Geometrically and materially nonlinear analyses with imperfections included are executed, and the obtained results are validated against experimental data available in the literature. Subsequently, a parametric study is carried out to investigate the local buckling behaviour of aluminium alloy angles. For this purpose, a broad range of cross-sectional aspect ratios, slenderness and two types of structural aluminium alloys are considered. Their effect on the cross-sectional behaviour and strength is discussed. Moreover, the numerically obtained ultimate strengths together with literature test data are utilised to assess the applicability of the European design standards, the American Aluminium Design Manual and the Continuous Strength Method to aluminium alloy angles. The suitability of the Direct Strength Method is also evaluated and a modified method is proposed to improve the accuracy of the strength predictions.

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EXPLICIT LOCAL BUCKLING ANALYSIS OF ROTATIONALLY- AND VERTICALLY-RESTRAINED ORTHOTROPIC PLATES UNDER UNIAXIAL COMPRESSION

International Journal of Structural Stability and Dynamics ◽

10.1142/s0219455412500381 ◽

2012 ◽

Vol 12 (05) ◽

pp. 1250038 ◽

Cited By ~ 4

Author(s):

XUPING HUO ◽

PIZHONG QIAO

Keyword(s):

Boundary Conditions ◽

Uniaxial Compression ◽

Numerical Solutions ◽

Local Buckling ◽

Potential Energy Function ◽

Buckling Analysis ◽

Rectangular Plates ◽

Orthotropic Plates ◽

Uniform Compression ◽

Laminated Structures

In this paper, explicit local buckling analysis of orthotropic plates subjected to uniaxial compression with two loaded edges simply-supported and two unloaded edges supported by combined vertical and rotational restraining springs is presented. Based on the total potential energy function, the eigenvalue problem is formulated by treating the buckled shape functions as the admissible functions that satisfy the boundary conditions of the rectangular plates. Closed-form and approximate local buckling solutions of the combined rotationally- and vertically-restrained orthotropic plates, as well as explicit formulas for the critical buckling load and critical aspect ratio under the uniform compression, are obtained. By adjusting the stiffness of the rotational and vertical restraining springs, explicit local buckling solutions are established for eight simple cases of boundary conditions. To verify the explicit solutions, numerical analyses of orthotropic plates using the exact transcendental and finite element methods are conducted, for which reasonable agreement has been obtained between the explicit and numerical solutions, particularly for the simplified cases. The explicit solution obtained in this study can be used to facilitate the buckling analysis of composite laminated structures with different boundary conditions or joint connections as parts of stiffened and thin-walled structures by treating them as discrete plates with restrained boundary conditions.

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Local Buckling of Aluminium Channels Under Uniform Compression

Light-Weight Steel and Aluminium Structures ◽

10.1016/b978-008043014-0/50180-3 ◽

1999 ◽

pp. 663-670 ◽

Cited By ~ 2

Author(s):

F.M. Mazzolani ◽

C. Faella ◽

V. Piluso ◽

G. Rizzano

Keyword(s):

Local Buckling ◽

Uniform Compression

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Elastic and inelastic local buckling of stiffened plates subjected to non-uniform compression using the Galerkin method

Applied Mathematical Modelling ◽

10.1016/j.apm.2008.03.020 ◽

2009 ◽

Vol 33 (4) ◽

pp. 1874-1885 ◽

Cited By ~ 14

Author(s):

E. Jaberzadeh ◽

M. Azhari

Keyword(s):

Galerkin Method ◽

Local Buckling ◽

Stiffened Plates ◽

Uniform Compression ◽

The Galerkin Method

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Numerical Application of Effective Thickness Approach to Box Aluminium Sections

Journal of Composites Science ◽

10.3390/jcs5110291 ◽

2021 ◽

Vol 5 (11) ◽

pp. 291

Author(s):

Elide Nastri ◽

Vincenzo Piluso ◽

Alessandro Pisapia

Keyword(s):

Cross Sections ◽

Local Buckling ◽

Experimental Tests ◽

Effective Thickness ◽

Numerical Application ◽

Uniform Compression ◽

Plate Elements ◽

Ultimate Resistance ◽

Theoretical Results ◽

Recent Extension

The ultimate behaviour of aluminium members subjected to uniform compression or bending is strongly influenced by local buckling effects which occur in the portions of the section during compression. In the current codes, the effective thickness method (ETM) is applied to evaluate the ultimate resistance of slender cross-sections affected by elastic local buckling. In this paper, a recent extension of ETM is presented to consider the local buckling effects in the elastic-plastic range and the interaction between the plate elements constituting the cross-section. The theoretical results obtained with this approach, applied to box-shaped aluminium members during compression or in bending, are compared with the experimental tests provided in the scientific literature. It is observed that the ETM is a valid and accurate tool for predicting the maximum resistance of box-shaped aluminium members during compression or in bending.

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