Simplified Approach for Equiv. Geom. Imperfections to Determine Plate Buckling Load‐Bearing Capacity

Abstract Stability failure due to plate buckling presents a central challenge in steel construction, in particular in the design of thin‐walled, plate‐shaped load‐bearing structures. According to EN 1993‐1‐5 and the new prEN 1993‐1‐14, load‐bearing capacity can be verified by means of analytical formulae or the finite element method (FE method). A geometrically and materially non‐linear analysis with imperfections (GMNIA) requires the consideration of suitable types and forms of imperfection. The variety of possible imperfection approaches and their combination complicates their conservative application significantly. This study considers the ultimate loads for stiffened plates using GMNIA and investigates simplified imperfection approaches. The results show that a global imperfection with e 0 =min{a/400; b/400} in the negative direction leads to the minimum ultimate load in the majority of cases. A modified global imperfection with e 0 =max{a/600; b/350} in the negative direction results in the minimum ultimate load in an even larger number of cases. This enables conservative FE modelling practical for the construction industry with the use of only one imperfection.

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Journal
ce/papers
Published
2025-12-01
DOI
https://doi.org/10.1002/cepa.70229
Primary Topic
Composite Structure Analysis and Optimization
Type
article
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article

Simplified Approach for Equiv. Geom. Imperfections to Determine Plate Buckling Load‐Bearing Capacity

Christian Ludwig, Larissa Schönfeld
ce/papers
Composite Structure Analysis and Optimization
article

Simplified Approach for Equiv. Geom. Imperfections to Determine Plate Buckling Load‐Bearing Capacity

Christian Ludwig, Larissa Schönfeld
article en

Abstract

Abstract Stability failure due to plate buckling presents a central challenge in steel construction, in particular in the design of thin‐walled, plate‐shaped load‐bearing structures. According to EN 1993‐1‐5 and the new prEN 1993‐1‐14, load‐bearing capacity can be verified by means of analytical formulae or the finite element method (FE method). A geometrically and materially non‐linear analysis with imperfections (GMNIA) requires the consideration of suitable types and forms of imperfection. The variety of possible imperfection approaches and their combination complicates their conservative application significantly. This study considers the ultimate loads for stiffened plates using GMNIA and investigates simplified imperfection approaches. The results show that a global imperfection with e 0 =min{a/400; b/400} in the negative direction leads to the minimum ultimate load in the majority of cases. A modified global imperfection with e 0 =max{a/600; b/350} in the negative direction results in the minimum ultimate load in an even larger number of cases. This enables conservative FE modelling practical for the construction industry with the use of only one imperfection.

ce/papersVol. 8(6)
Ruhr West University of Applied Sciences (DE), Federal Highway and Transport Research Institute (DE)
Industry, innovation and infrastructure
Openalex Percentile: Top 39%
Composite Structure Analysis and Optimization
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