Research on Theoretical Calculation Method of Composite Gradient Threshold for Highways | 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 Article Research on Theoretical Calculation Method of Composite Gradient Threshold for Highways He Lieyun This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6853222/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract To address the issue of the lack of a definitive theoretical calculation method for composite gradients, this study systematically analyzes the dynamic characteristics of vehicles, such as climbing performance, anti - landslide performance, braking performance, and lateral stability performance, when driving on composite gradient sections, based on the spatial relationships of composite slope angles, lines, and planes. By deriving and establishing calculation formulas for the dynamic performance of vehicles driving on composite gradients, deeply analyzing the influence laws of composite gradients on various dynamic performances, and combining with the method for determining the extreme values of constraint conditions, the threshold range of composite gradients under the design parameters of extreme road alignments is finally obtained, and the theoretical calculation method for the threshold of composite gradients is determined. The research results show that the setting of the minimum value of the composite gradient needs to ensure the lateral drainage capacity of the road, and the determination of the maximum value should aim to ensure the driving comfort; on snow - and ice - covered sections, the composite gradient should be determined according to local conditions and actual situations. The conclusions of this study can provide a theoretical reference for the revision of highway alignment design specifications and the design of composite gradients. Physical sciences/Engineering/Civil engineering Physical sciences/Physics/Techniques and instrumentation road engineering road alignment design synthetic slope gradients dynamic performance friction coefficient lateral force coefficient Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted 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. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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-6853222","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":481086003,"identity":"bf9927a4-9097-4397-b9fc-a572e20b7749","order_by":0,"name":"He Lieyun","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA3ElEQVRIie3RsQrCMBCA4SuCLpWudfEZIoIifZlm0U0EQZzkpJCp4FrxJQTBOeUGl6JrB0F9A90sKNjY3cZNMP9wZMhHEgJgMv1gDCoo1cIB8JkmsQrSwG9IsZC6F+vW5nN5EzRsH+R5lAkCZ4WfSS+MMV4KGnek9FthQuAeS85jKUeqC+LbGP02TAmY65eQ0wXpmZNNADlhOiS1kKycrKuge0rCMQ73Ax4loN4ysN20jOyIrveJxxeLpM8y4TWdqIS8s6pq2v38KwNbY7/qoUaNzgAzTWEymUz/1AsFKk7Z5tdWkQAAAABJRU5ErkJggg==","orcid":"","institution":"Zhejiang Police college","correspondingAuthor":true,"prefix":"","firstName":"He","middleName":"","lastName":"Lieyun","suffix":""}],"badges":[],"createdAt":"2025-06-09 10:08:09","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6853222/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6853222/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":87013536,"identity":"b26b8724-4698-4009-be52-a71ac8ed8cfa","added_by":"auto","created_at":"2025-07-18 09:39:39","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":437591,"visible":true,"origin":"","legend":"","description":"","filename":"ResearchonTheoreticalCalculationMethodofCompositeGradientThresholdforHighways.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6853222/v1_covered_f342f879-87ce-4d4b-9846-577cc7bbd190.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Research on Theoretical Calculation Method of Composite Gradient Threshold for Highways","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"
[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"road engineering, road alignment design, synthetic slope gradients, dynamic performance, friction coefficient, lateral force coefficient","lastPublishedDoi":"10.21203/rs.3.rs-6853222/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6853222/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eTo address the issue of the lack of a definitive theoretical calculation method for composite gradients, this study systematically analyzes the dynamic characteristics of vehicles, such as climbing performance, anti - landslide performance, braking performance, and lateral stability performance, when driving on composite gradient sections, based on the spatial relationships of composite slope angles, lines, and planes. By deriving and establishing calculation formulas for the dynamic performance of vehicles driving on composite gradients, deeply analyzing the influence laws of composite gradients on various dynamic performances, and combining with the method for determining the extreme values of constraint conditions, the threshold range of composite gradients under the design parameters of extreme road alignments is finally obtained, and the theoretical calculation method for the threshold of composite gradients is determined. The research results show that the setting of the minimum value of the composite gradient needs to ensure the lateral drainage capacity of the road, and the determination of the maximum value should aim to ensure the driving comfort; on snow - and ice - covered sections, the composite gradient should be determined according to local conditions and actual situations. The conclusions of this study can provide a theoretical reference for the revision of highway alignment design specifications and the design of composite gradients.\u003c/p\u003e","manuscriptTitle":"Research on Theoretical Calculation Method of Composite Gradient Threshold for Highways","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-07-07 08:34:07","doi":"10.21203/rs.3.rs-6853222/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"
[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"94e3ba28-b0b1-4ce8-96dd-908242e98e35","owner":[],"postedDate":"July 7th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[{"id":51087371,"name":"Physical sciences/Engineering/Civil engineering"},{"id":51087372,"name":"Physical sciences/Physics/Techniques and instrumentation"}],"tags":[],"updatedAt":"2025-07-18T09:38:42+00:00","versionOfRecord":[],"versionCreatedAt":"2025-07-07 08:34:07","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-6853222","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-6853222","identity":"rs-6853222","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}
Text is read by the "Ask this paper" AI Q&A widget below.
Extraction quality varies by source — PMC NXML preserves structure
cleanly, OA-HTML may include some navigation residue, and OA-PDF can
have broken hyphenation. The publisher copy
(via DOI)
is the canonical version.