2- Easy approach to Stress strain relationship. - Maged kamel

Later Any increase in load will cause an increase in both stress and strain till the ultimate tensile strength is reached. The stress will ... FacebookInstagramSearchEngineeringOasis-BestIllustrations.HomeBlogpostsDiscreteMathAlgebraandlinearAlgebra-MatricesProofsFirstmomentofarea-plainshapesMomentofinertiaInertiaforplainshapesMaximumvalueofIxandIyNumericalanalysisSolvingnonlinearequationsSolutionoflinearsystemsInterpolationEngineeringEconomyStructuralsteelIntroductiontostructruralsteelTensionMembers.SteelBeams.CompressionMembers.BoltedConnection.CoursesBYSAMAAHSULTANHelloandWelcometomyWebSite.ContactUsMenuHomeBlogpostsDiscreteMathAlgebraandlinearAlgebra-MatricesProofsFirstmomentofarea-plainshapesMomentofinertiaInertiaforplainshapesMaximumvalueofIxandIyNumericalanalysisSolvingnonlinearequationsSolutionoflinearsystemsInterpolationEngineeringEconomyStructuralsteelIntroductiontostructruralsteelTensionMembers.SteelBeams.CompressionMembers.BoltedConnection.CoursesBYSAMAAHSULTANHelloandWelcometomyWebSite.ContactUs2-EasyapproachtoStressstrainrelationship.byMagedkamelMay1,2022inIntroductiontostructruralsteel0TableOfContentsStress-strainrelationship.ThevideoIusedintheillustration.Stress-strainrelationshipforsteel.Thegraphbetweenstressandstrain.ThevariousregionsobservedfromtheStress-strainrelationshipforsteel.Howtogettheyieldstressforaspecimen?Thestructuralsteelcompositionandthesteelgradesforstructuralsteel.Thedifferentcurvesforsteel-grades.Stress-strainrelationship.ThevideoIusedintheillustration.Thevideodiscussestheintroductionofstructuralsteel.Wewilldiscussthestress-strainrelationshipbetweenstructuralsteelandstructuralsteeldecomposition.ThevideohasasubtitleandaclosedcaptioninEnglish.Youcanclickonanypicturetoenlarge,thenpressthesmallarrowattherighttoreviewalltheotherimagesasaslideshow.Thefollowingpointswillbeincludedasfollows:1-Stressstrainrelationshipforsteel.2-ThevariousregionsobservedfromtheStress-strainrelationshipforsteel.3-HowtoderivetheyieldstressfromtheStress-strainrelationshipforsteel?4-Structuralsteeldecomposition.5-Thevariousgradesofsteelandtheirgraphs.Stress-strainrelationshipforsteel.Thislectureisthesecondlectureontheintroductionofstructuralsteel.Wewilldiscussthestress-strainrelationshipinstructuralsteel.Ifapieceofductilestructuralsteelissubjectedtoatensileforce.Thelengthofthepiecewillincreaseduetothatload.Asthetensileforceincreasesataconstantrate,thentheelongationwillincreaselinearly.Forinstance,Theelongationwilldoublewhenthestressgoesfrom6000psito12000psi,poundpersquareinch.Whenthetensilestressreachesavalueroughly=3/4oftheultimatestrengthofsteel,Theelongationbeginstoincreaseatagreaterratewithoutacorrespondingincreaseinthestress.Thegraphbetweenstressandstrain.Thisisapieceofsteelforwhichwehaveadiscussion.Thepiecehasacross-sectionA. Thestressequationisshownasf=P/Aandtheelongationε=ΔL/L.Wheref=axialtensilestress.A=cross-sectionalarea.ε=axialstrain,L=thelengthofthespecimen,ΔLchangeinlength.Thestress-strainisrepresentedbyagraphwherestrainisdrawnasanx-axis,andthestressisdrawnasaverticalaxis.Thepreviousequationf=P/A isusedfortheestimationofthestressf.TheslopelinerepresentsEortheelasticmodulusofelasticity.Uponloadincrease,thelineextendstillwithanincreaseinstressWithalittleincreaseinstrain,laterwhenloadsincrease,anyincreaseinstresswillbeaccompaniedbyaConsiderableincreaseinstrain.PointAisreached.LaterAnyincreaseinloadwillcauseanincreaseinbothstressandstraintilltheultimatetensilestrengthisreached.Thestresswilldecreasewithaconsiderableincreaseinstraintillthefracturepoint. Themajorpointsinthegrapharetheproportionallimits.TheotherpointistheLoweryieldpoint.Thethirdpointisthepointofultimatetensilestrength,andthelastpointisthefracturepoint.ThevariousregionsobservedfromtheStress-strainrelationshipforsteel.Thegraphcanbesubdividedintofourregions.Thefirstregionistheelasticregion, inwhichwhentheloadisremoved,thespecimenwillreturntoitsoriginallength.Butfortheotherregions.Therewillbepermenantelongation.Thesecondregionistheplasticregion,thethirdisstresshardening,andthelastisneckingandfailure.ThedifferentdataforthemodulesofElasticityandthevariousregionsarealsoshowninthisgraph.Howtogettheyieldstressforaspecimen?Howtogettheyieldstressforaspecimen?Therearetwomethods,thefirstmethodistoselectastrainof0.002in/inch,or0.20%inch/inch.Thedottedlineisoffsetfromtheinitialstraightlinetillthedottedlinewillintersectwiththegraphatapoint,forwhichthestressisconsideredasFyat0.2%strain.Thesecondmethodistoconstructaverticallineatastrainof0.005inches/inchor0.5%inch/inch.Theintersectionwiththegraph.ThestressisconsideredtobeFyat0.5%inch/inch.Thisprocedureisdone,whenwehaveahigh-strengthsteelspecimen.SoFycanbedeterminedeitherbasedon0.20%strainorcanbebasedon0.50%strain.Thisisatypicalplotforatensiletest.Thestructuralsteelcompositionandthesteelgradesforstructuralsteel.Thefollowingslidewillgivethestructuralsteelcompositionandthesteelgradesforstructuralsteel.Thefollowingcompositionoftwowell-knowngradesofsteelASTMA-572andASTMA-36.Thedifferencesbetweenthetwostructuralsteelgradesregardingcarbon,Manganese,Phosphorous,Sulfur,andsiliconeareshowninthetablebelow.Thefirstcolumnshowsthevariousgradesofsteel.ASMA-A36hasadensityof7800kg/m3or(0.028lb/cuin).Young’smodulusofelasticityforA36,isalwaystaken,as29,000,000psior(200GPA).TheGigais10^9;thepascalisN/m^2.Poisson’sratioisthe lateralstrain/longitudinalstrain=0.20Thetensileforcewillcreateanelongation,butaccompaniedbycompressivestrainintheperpendiculardirection=0.20.Thedifferentcurvesforsteelgrades.ThenextgraphshowsthedifferentcurvesforsteelgradesstartingwithASTM-A-36,whichdenotesyieldstressof36ksi.Thesecondcurveisforhighstrengthlow-allowcarbonsteelASTM-A-572withayieldstressof50ksi.ThereisanothercurveforHeattreatedconstructionalalloyASTM-A-514,quenchedandtemperedalloysteel,wheretheyieldstressreaches100ksi.TheFyisestimatedbasedon0.20%inch/inchstrain.0.20%inch/inchstrain.Alltheprevioussteelgradeshaveacommonmodulusofelasticityof29,000ksi.Thelowertableshowstherelationbetweentheyieldpointandthedifferentsteelgrades.ForA36theyieldpoint=36ksiandthetensilepointrangesfrom58-80ksi. ForA572theyieldpoint=42-65ksi,thetensilepointisfrom0.5-0.70%,50ksi-70ksi.ForA514 thetensilepointisfrom110-130ksi.Thecarbonsteeltypesareshownintheslideimage.FortheASTM.WearestartingwithASTM-A36forstructuralshapesandplates.TheHighstrengthofalloysteel.ThegradestartswithA441forstructuralshapesandplatesandthenA572.ThisisalinkforthePdfdatausedforthispost.Thenextnewsubjectwillbethedifferentstructuralsteelshapes,andtherelatedweightswillbediscussed.Averygoodreference,ABeginner’sGuidetoStructuralEngineering.Shareandenjoy.         Tags:2-Stressstrainrelationship.PreviousPost5-EasyintroductiontoMohr’scircleofinertiapart-2.NextPost3-Structuralsteelsections-aneasyapproach.NextPost3-Structuralsteelsections-aneasyapproach.NoResultViewAllResultCategoriesCategoriesSelectCategoryAlgebraandlinearAlgebra-MatricesBoltedConnection.CompressionMembers.DiscreteMathEngineeringEconomyFirstmomentofarea-plainshapesFirstmomentofarea-roundshapes.InertiaforplainshapesInterpolationIntroductiontoNumericalAnalysisIntroductiontostructruralsteelMaximumvalueofIxandIySolutionoflinearsystemsSolvingnonlinearequationsSteelBeams.TensionMembers.unit-1Copyright@2021allrightsreservedByMagedKamel