{"title":"Truss Analysis","authors":"","doi":"10.1017/9781108869027.010","DOIUrl":null,"url":null,"abstract":"A B C D E L S1y S1x S2 θ θ θ θ θ θ Assume forces in truss are as indicated. Then the forces at each node are as follows: At A: S1x – FAE FAB cosθ = 0 S1y FAB sinθ = 0 At B: FAB cosθ FBE cosθ FBC = 0 FAB sinθ + FBE sinθ = 0 At C: FBC + FCE cosθ FCD cosθ = 0 FCE sinθ + FCD sinθ = 0 At D: FDE + FCD cosθ = 0 S2 – FCD sinθ = 0 At E: FAE – FDE + FBE cosθ FCE cosθ = 0 -FBE sinθ FCE sinθ L = 0 Then these equations can be put into matrix form as:","PeriodicalId":437098,"journal":{"name":"Design Optimization using MATLAB and SOLIDWORKS","volume":"43 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Design Optimization using MATLAB and SOLIDWORKS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/9781108869027.010","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
A B C D E L S1y S1x S2 θ θ θ θ θ θ Assume forces in truss are as indicated. Then the forces at each node are as follows: At A: S1x – FAE FAB cosθ = 0 S1y FAB sinθ = 0 At B: FAB cosθ FBE cosθ FBC = 0 FAB sinθ + FBE sinθ = 0 At C: FBC + FCE cosθ FCD cosθ = 0 FCE sinθ + FCD sinθ = 0 At D: FDE + FCD cosθ = 0 S2 – FCD sinθ = 0 At E: FAE – FDE + FBE cosθ FCE cosθ = 0 -FBE sinθ FCE sinθ L = 0 Then these equations can be put into matrix form as: