Comparative Analysis of Structural Efficiency of Steel Bar Hyperbolic Paraboloid Modules.

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Title: Comparative Analysis of Structural Efficiency of Steel Bar Hyperbolic Paraboloid Modules.
Authors: Dzwierzynska, Jolanta1 (AUTHOR) joladz@prz.edu.pl, Lechwar, Patrycja1 (AUTHOR)
Source: Materials (1996-1944). Sep2025, Vol. 18 Issue 17, p4127. 26p.
Subjects: Configurations (Geometry), Structural steel, Numerical analysis, Structural optimization, Curved surfaces, Parametric modeling, Stress concentration, Grillages
Abstract: Curved roofs constructed using hyperbolic paraboloid (HP) modules are gaining popularity in structural engineering due to their unique aesthetic and structural advantages. Consequently, these studies have investigated steel bar modules based on HP geometry, focusing on how variations in geometric configuration and bar topology affect internal force distribution and overall structural performance. Each module was designed on a 4 × 4 m square plan, incorporating external bars that formed the spatial frame and internal grid bars that filled the frame's interior. Parametric modeling was conducted using Dynamo, while structural analysis and design were performed in Autodesk Robot Structural Analysis Professional (ARSAP). Key variables included the vertical displacement of frame corners (0–1.0 m at 0.25 m intervals), the orientation and spacing of internal bar divisions, and the overall mesh topology. A total of 126 structural models were analyzed, representing four distinct bar topology variants, including both planar and non-planar mesh configurations. The results demonstrate that structural efficiency is significantly influenced by the geometry and topology of the internal bar system, with notable differences observed across the various structural types. Computational analysis revealed that asymmetric configurations of non-planar quadrilateral subdivisions yielded the highest efficiency, while symmetric arrangements proved optimal for planar panel applications. These findings, along with observed design trends, offer valuable guidance for the development and optimization of steel bar structures based on HP geometry, applicable to both single-module and multi-module configurations. [ABSTRACT FROM AUTHOR]
Copyright of Materials (1996-1944) is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Comparative Analysis of Structural Efficiency of Steel Bar Hyperbolic Paraboloid Modules.
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  Data: <searchLink fieldCode="JN" term="%22Materials+%281996-1944%29%22">Materials (1996-1944)</searchLink>. Sep2025, Vol. 18 Issue 17, p4127. 26p.
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  Data: <searchLink fieldCode="DE" term="%22Configurations+%28Geometry%29%22">Configurations (Geometry)</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+steel%22">Structural steel</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+optimization%22">Structural optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Curved+surfaces%22">Curved surfaces</searchLink><br /><searchLink fieldCode="DE" term="%22Parametric+modeling%22">Parametric modeling</searchLink><br /><searchLink fieldCode="DE" term="%22Stress+concentration%22">Stress concentration</searchLink><br /><searchLink fieldCode="DE" term="%22Grillages%22">Grillages</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: Curved roofs constructed using hyperbolic paraboloid (HP) modules are gaining popularity in structural engineering due to their unique aesthetic and structural advantages. Consequently, these studies have investigated steel bar modules based on HP geometry, focusing on how variations in geometric configuration and bar topology affect internal force distribution and overall structural performance. Each module was designed on a 4 × 4 m square plan, incorporating external bars that formed the spatial frame and internal grid bars that filled the frame's interior. Parametric modeling was conducted using Dynamo, while structural analysis and design were performed in Autodesk Robot Structural Analysis Professional (ARSAP). Key variables included the vertical displacement of frame corners (0–1.0 m at 0.25 m intervals), the orientation and spacing of internal bar divisions, and the overall mesh topology. A total of 126 structural models were analyzed, representing four distinct bar topology variants, including both planar and non-planar mesh configurations. The results demonstrate that structural efficiency is significantly influenced by the geometry and topology of the internal bar system, with notable differences observed across the various structural types. Computational analysis revealed that asymmetric configurations of non-planar quadrilateral subdivisions yielded the highest efficiency, while symmetric arrangements proved optimal for planar panel applications. These findings, along with observed design trends, offer valuable guidance for the development and optimization of steel bar structures based on HP geometry, applicable to both single-module and multi-module configurations. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Materials (1996-1944) is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.3390/ma18174127
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      – Code: eng
        Text: English
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        PageCount: 26
        StartPage: 4127
    Subjects:
      – SubjectFull: Configurations (Geometry)
        Type: general
      – SubjectFull: Structural steel
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Structural optimization
        Type: general
      – SubjectFull: Curved surfaces
        Type: general
      – SubjectFull: Parametric modeling
        Type: general
      – SubjectFull: Stress concentration
        Type: general
      – SubjectFull: Grillages
        Type: general
    Titles:
      – TitleFull: Comparative Analysis of Structural Efficiency of Steel Bar Hyperbolic Paraboloid Modules.
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          Name:
            NameFull: Dzwierzynska, Jolanta
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            NameFull: Lechwar, Patrycja
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          Dates:
            – D: 01
              M: 09
              Text: Sep2025
              Type: published
              Y: 2025
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              Value: 18
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            – TitleFull: Materials (1996-1944)
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