A New Approach for Estimating the Critical Buckling Load Coefficient of Perforated Steel Square Plates

A New Approach for Estimating the Critical Buckling Load Coefficient of Perforated Steel Square Plates | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article A New Approach for Estimating the Critical Buckling Load Coefficient of Perforated Steel Square Plates Mustafa Halûk Saraçoğlu This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4847097/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 02 Sep, 2025 Read the published version in Journal of the Brazilian Society of Mechanical Sciences and Engineering → Version 1 posted 4 You are reading this latest preprint version Abstract In this study, practical formulas for the critical buckling loads of simply supported square circular perforated steel plates with different hole ratios and slenderness ratios subjected to uniaxial and biaxial load conditions are developed. Database is composed with the help of the commercial software package ANSYS that use the finite element method (FEM) for calculations and the formula was developed by using Gene Expression Programming (GEP). A total of 847 data sets were generated and they used to establish and validate the formula. The effect of perforation size and slenderness ratio on the buckling strength of the perforated plates is investigated with this study. The critical buckling loads for the simply supported perforated square steel plates could be calculated easily via the critical buckling coefficients of the developed formulas. One of the novelty of this research study is unique buckling coefficients can be calculated for each slenderness ratio. After the evaluation it has seen that the results from the formulas are much more acceptable out of the results of the available literatures. buckling circular perforated plate Finite Element Method Gene Expression Programming uniaxial loading biaxial loading Full Text Cite Share Download PDF Status: Published Journal Publication published 02 Sep, 2025 Read the published version in Journal of the Brazilian Society of Mechanical Sciences and Engineering → Version 1 posted Reviewers agreed at journal 27 Sep, 2024 Reviewers invited by journal 28 Aug, 2024 Editor assigned by journal 05 Aug, 2024 First submitted to journal 02 Aug, 2024 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-4847097","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":346278678,"identity":"1f035e30-c298-426b-ac21-74b2f4ebc4b1","order_by":0,"name":"Mustafa Halûk Saraçoğlu","email":"data:image/png;base64,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","orcid":"https://orcid.org/0000-0003-3842-5699","institution":"Kütahya Dumlupınar University","correspondingAuthor":true,"prefix":"","firstName":"Mustafa","middleName":"Halûk","lastName":"Saraçoğlu","suffix":""}],"badges":[],"createdAt":"2024-08-02 09:00:37","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4847097/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4847097/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s40430-025-05850-0","type":"published","date":"2025-09-02T15:57:34+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":90828031,"identity":"c5458b80-09c4-4a5f-8ff9-0bab4bbcda15","added_by":"auto","created_at":"2025-09-08 16:05:11","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":2166248,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4847097/v1_covered_837bfe58-fb36-4652-a484-298ca38e5c46.pdf"}],"financialInterests":"","formattedTitle":"\u003cp\u003eA New Approach for Estimating the Critical Buckling Load Coefficient of Perforated Steel Square Plates\u003c/p\u003e","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":true,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"journal-of-the-brazilian-society-of-mechanical-sciences-and-engineering","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"bmse","sideBox":"Learn more about [Journal of the Brazilian Society of Mechanical Sciences and Engineering](http://link.springer.com/journal/40430)","snPcode":"40430","submissionUrl":"https://www.editorialmanager.com/bmse/default2.aspx","title":"Journal of the Brazilian Society of Mechanical Sciences and Engineering","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"buckling, circular perforated plate, Finite Element Method, Gene Expression Programming, uniaxial loading, biaxial loading","lastPublishedDoi":"10.21203/rs.3.rs-4847097/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4847097/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eIn this study, practical formulas for the critical buckling loads of simply supported square circular perforated steel plates with different hole ratios and slenderness ratios subjected to uniaxial and biaxial load conditions are developed. 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