Numerical and Geometrical Evaluation of Steel Plates with Transverse Hat-Stiffeners Under Bending

Thin steel plates with stiffeners are widely used in shipbuilding, aeronautics, and civil construction due to their lightness and structural strength. This study presents a numerical model developed using ANSYS Mechanical APDL with SHELL281 finite elements to evaluate the deflection of thin steel pl...

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Main Authors: Mariana Alvarenga Alves, Eduarda Machado Rodrigues, Luiz Alberto Oliveira Rocha, Elizaldo Domingues dos Santos, William Ramires Almeida, Liércio André Isoldi
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Metals
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Online Access:https://www.mdpi.com/2075-4701/15/6/647
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author Mariana Alvarenga Alves
Eduarda Machado Rodrigues
Luiz Alberto Oliveira Rocha
Elizaldo Domingues dos Santos
William Ramires Almeida
Liércio André Isoldi
author_facet Mariana Alvarenga Alves
Eduarda Machado Rodrigues
Luiz Alberto Oliveira Rocha
Elizaldo Domingues dos Santos
William Ramires Almeida
Liércio André Isoldi
author_sort Mariana Alvarenga Alves
collection DOAJ
description Thin steel plates with stiffeners are widely used in shipbuilding, aeronautics, and civil construction due to their lightness and structural strength. This study presents a numerical model developed using ANSYS Mechanical APDL with SHELL281 finite elements to evaluate the deflection of thin steel plates with trapezoidal-shaped box-beam stiffeners, known as hat-stiffened plates. The structure is analyzed under a uniformly distributed load perpendicular to the plate, with simply supported boundary conditions. The constructal design method combined with the exhaustive search technique is employed to optimize the geometry. A volume fraction of 30% is used, transferring material from the reference plate (without stiffeners) to the stiffeners, defining parameters such as number, height, and thickness—considered degrees of freedom. The stiffener angle is fixed at 120°. The results show that increasing stiffener height and reducing thickness generally improve structural performance by reducing deflections. The best configuration with transverse stiffeners reduced deflection by 97.15% compared to the reference plate, and by 79.27% compared to the best longitudinal configuration from previous studies. Therefore, transverse stiffeners were more effective than longitudinal ones. This study highlights the importance of stiffener orientation and geometry in the structural optimization of thin steel plates.
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spelling doaj-art-012cae74ec9a4ca0b655faf5f44485fe2025-08-20T02:21:04ZengMDPI AGMetals2075-47012025-06-0115664710.3390/met15060647Numerical and Geometrical Evaluation of Steel Plates with Transverse Hat-Stiffeners Under BendingMariana Alvarenga Alves0Eduarda Machado Rodrigues1Luiz Alberto Oliveira Rocha2Elizaldo Domingues dos Santos3William Ramires Almeida4Liércio André Isoldi5Graduate Program in Computational Modeling (PPGMC), Federal University of Rio Grande—FURG, Rio Grande 96201-900, BrazilSchool of Engineering, Federal University of Rio Grande—FURG, Rio Grande 96201-900, BrazilGraduate Program in Computational Modeling (PPGMC), Federal University of Rio Grande—FURG, Rio Grande 96201-900, BrazilGraduate Program in Computational Modeling (PPGMC), Federal University of Rio Grande—FURG, Rio Grande 96201-900, BrazilSchool of Engineering, Federal University of Rio Grande—FURG, Rio Grande 96201-900, BrazilGraduate Program in Computational Modeling (PPGMC), Federal University of Rio Grande—FURG, Rio Grande 96201-900, BrazilThin steel plates with stiffeners are widely used in shipbuilding, aeronautics, and civil construction due to their lightness and structural strength. This study presents a numerical model developed using ANSYS Mechanical APDL with SHELL281 finite elements to evaluate the deflection of thin steel plates with trapezoidal-shaped box-beam stiffeners, known as hat-stiffened plates. The structure is analyzed under a uniformly distributed load perpendicular to the plate, with simply supported boundary conditions. The constructal design method combined with the exhaustive search technique is employed to optimize the geometry. A volume fraction of 30% is used, transferring material from the reference plate (without stiffeners) to the stiffeners, defining parameters such as number, height, and thickness—considered degrees of freedom. The stiffener angle is fixed at 120°. The results show that increasing stiffener height and reducing thickness generally improve structural performance by reducing deflections. The best configuration with transverse stiffeners reduced deflection by 97.15% compared to the reference plate, and by 79.27% compared to the best longitudinal configuration from previous studies. Therefore, transverse stiffeners were more effective than longitudinal ones. This study highlights the importance of stiffener orientation and geometry in the structural optimization of thin steel plates.https://www.mdpi.com/2075-4701/15/6/647hat-stiffened platesfinite element methodcomputational modelingout-of-plane displacementsconstructal design
spellingShingle Mariana Alvarenga Alves
Eduarda Machado Rodrigues
Luiz Alberto Oliveira Rocha
Elizaldo Domingues dos Santos
William Ramires Almeida
Liércio André Isoldi
Numerical and Geometrical Evaluation of Steel Plates with Transverse Hat-Stiffeners Under Bending
Metals
hat-stiffened plates
finite element method
computational modeling
out-of-plane displacements
constructal design
title Numerical and Geometrical Evaluation of Steel Plates with Transverse Hat-Stiffeners Under Bending
title_full Numerical and Geometrical Evaluation of Steel Plates with Transverse Hat-Stiffeners Under Bending
title_fullStr Numerical and Geometrical Evaluation of Steel Plates with Transverse Hat-Stiffeners Under Bending
title_full_unstemmed Numerical and Geometrical Evaluation of Steel Plates with Transverse Hat-Stiffeners Under Bending
title_short Numerical and Geometrical Evaluation of Steel Plates with Transverse Hat-Stiffeners Under Bending
title_sort numerical and geometrical evaluation of steel plates with transverse hat stiffeners under bending
topic hat-stiffened plates
finite element method
computational modeling
out-of-plane displacements
constructal design
url https://www.mdpi.com/2075-4701/15/6/647
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