{"title":"Derivation of the elastic force of springs from the curved rod model","authors":"Josip Tambača","doi":"10.1016/S1620-7742(01)01397-6","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper the Hook law for cylindrical springs is derived from the linearized elasticity. The cylindrical spring is an elastic curved rod with helicoidal middle curve. The curved rod model is used to obtain the behaviour of the spring subjected to the longitudinal force. The obtained coefficient in Hook's law, expressed in terms of the elastic and geometrical properties of the spring, matches the known coefficient.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 10","pages":"Pages 761-765"},"PeriodicalIF":0.0000,"publicationDate":"2001-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01397-6","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1620774201013976","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper the Hook law for cylindrical springs is derived from the linearized elasticity. The cylindrical spring is an elastic curved rod with helicoidal middle curve. The curved rod model is used to obtain the behaviour of the spring subjected to the longitudinal force. The obtained coefficient in Hook's law, expressed in terms of the elastic and geometrical properties of the spring, matches the known coefficient.
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