{"title":"A New Main Matrix to Find the Principal Stresses, Strains and the Max - Shear Stress, Strain by MATLAB Simulation","authors":"Abdullah Dhayea Assi","doi":"10.4028/p-clvs2s","DOIUrl":null,"url":null,"abstract":"In this research, a main matrix has been derived from the stress components in the inclined plane with an angle θ that calculates the normal stresses and shear stress in the inclined plane to be used in calculating the main stresses and the maximum shear stress in one step, this is done using the principal stress angle which is calculated from known stress compounds. As well as calculating the maximum shear stress after using the correction factor. The inverse of this derived matrix can be used to calculate the stress compounds through the known principal stresses and this applies to the components of the principal strain and strain, and the maximum shear strain. All this is done through MATLAB simulation Keywords: Normal Stresses and Strains, Shear, Principal Stresses, max. Shear Stress","PeriodicalId":512976,"journal":{"name":"Engineering Headway","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering Headway","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4028/p-clvs2s","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
In this research, a main matrix has been derived from the stress components in the inclined plane with an angle θ that calculates the normal stresses and shear stress in the inclined plane to be used in calculating the main stresses and the maximum shear stress in one step, this is done using the principal stress angle which is calculated from known stress compounds. As well as calculating the maximum shear stress after using the correction factor. The inverse of this derived matrix can be used to calculate the stress compounds through the known principal stresses and this applies to the components of the principal strain and strain, and the maximum shear strain. All this is done through MATLAB simulation Keywords: Normal Stresses and Strains, Shear, Principal Stresses, max. Shear Stress
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