{"title":"采用A= Ael、Jz= Jzel和Epl = Ec简化的半细长薄壁圆柱钉柱技术侧屈曲应力应变分析","authors":"Krzysztof Murawski","doi":"10.54769/9uyheq2af6","DOIUrl":null,"url":null,"abstract":"The paper presents and discusses the simplified method based on the Technical Stability Theory (TSTh) of loss of stability of lateral buckling in elastic-plastic states of semi-slender columns axially compressed by a force. It is assumed that in the critical elastic-plastic transverse cross-section there are the elastic and plastic parts of the area, keeping strength. To simplify the calculations is assumed that in the elastic-plastic transverse cross-section only the elastic part of column keeps the resistance, i.e. the transverse cross-section area A= Ael, moment of inertia of a cross-section area Jz= Jzel. Also is assumed that the elastic Young’s modulus E features an elastic static moment Szel, and the plastic modulus Epl features a plastic static moment Szpl, with simplification that the plastic modulus equals the compress modulus, i.e. Epl= Ec taken from experimental researches. The graphs of functions of the curved axes, their slopes, deflections of the columns, stresses and strains in thin-walled columns and critical compressive stresses depending on the cross-section areas and slenderness ratios are presented as the theoretical examples of thin-walled cylindrical columns and compared to results obtained from experiments with columns made of steel St35.","PeriodicalId":174568,"journal":{"name":"Scholar Freedom Pty Ltd","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Technical Lateral Buckling with Stress and Strain Analysis of Semi-slender Thin-walled Cylindrical Pinned Column Simplified with A= Ael, Jz= Jzel and Epl = Ec\",\"authors\":\"Krzysztof Murawski\",\"doi\":\"10.54769/9uyheq2af6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper presents and discusses the simplified method based on the Technical Stability Theory (TSTh) of loss of stability of lateral buckling in elastic-plastic states of semi-slender columns axially compressed by a force. It is assumed that in the critical elastic-plastic transverse cross-section there are the elastic and plastic parts of the area, keeping strength. To simplify the calculations is assumed that in the elastic-plastic transverse cross-section only the elastic part of column keeps the resistance, i.e. the transverse cross-section area A= Ael, moment of inertia of a cross-section area Jz= Jzel. Also is assumed that the elastic Young’s modulus E features an elastic static moment Szel, and the plastic modulus Epl features a plastic static moment Szpl, with simplification that the plastic modulus equals the compress modulus, i.e. Epl= Ec taken from experimental researches. The graphs of functions of the curved axes, their slopes, deflections of the columns, stresses and strains in thin-walled columns and critical compressive stresses depending on the cross-section areas and slenderness ratios are presented as the theoretical examples of thin-walled cylindrical columns and compared to results obtained from experiments with columns made of steel St35.\",\"PeriodicalId\":174568,\"journal\":{\"name\":\"Scholar Freedom Pty Ltd\",\"volume\":\"10 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Scholar Freedom Pty Ltd\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.54769/9uyheq2af6\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Scholar Freedom Pty Ltd","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.54769/9uyheq2af6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Technical Lateral Buckling with Stress and Strain Analysis of Semi-slender Thin-walled Cylindrical Pinned Column Simplified with A= Ael, Jz= Jzel and Epl = Ec
The paper presents and discusses the simplified method based on the Technical Stability Theory (TSTh) of loss of stability of lateral buckling in elastic-plastic states of semi-slender columns axially compressed by a force. It is assumed that in the critical elastic-plastic transverse cross-section there are the elastic and plastic parts of the area, keeping strength. To simplify the calculations is assumed that in the elastic-plastic transverse cross-section only the elastic part of column keeps the resistance, i.e. the transverse cross-section area A= Ael, moment of inertia of a cross-section area Jz= Jzel. Also is assumed that the elastic Young’s modulus E features an elastic static moment Szel, and the plastic modulus Epl features a plastic static moment Szpl, with simplification that the plastic modulus equals the compress modulus, i.e. Epl= Ec taken from experimental researches. The graphs of functions of the curved axes, their slopes, deflections of the columns, stresses and strains in thin-walled columns and critical compressive stresses depending on the cross-section areas and slenderness ratios are presented as the theoretical examples of thin-walled cylindrical columns and compared to results obtained from experiments with columns made of steel St35.