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TableAYoung’smodulusandyieldstrengthNotethattherelationbetweenstressandstrainisanobservedrelation,measuredinthelaboratoryYoung’sModulus: FL.=YΔ.AL.o.≡Y.=tensilestrain.Yieldstressσyisthenominalstressatthelimitofelasticityinatensiletest.Theenergyisstoredelasticallyordissipated plasticallyYoung’smodulusYisdefinedastheratioofthestresstothestrainItisameasureofthestiffnessofamaterial;however,inpractice,otherpropertiesof materials,scientistsandengineersareofteninterestedin,suchasyieldstress,havemoreinfluenceontheselectionofmaterialsforaparticularpurposeYoung’s Modulus(Y)=stress/strainYoung’smoduluscanbeusedinthefollowingequation:F= (∆ ) Inthisequation,Fisequaltotheforceappliedtothe structure,YistheYoung’smodulusforthematerial,ΔListhechangeinlengthofthematerialwhentheforceisappliedtoit,Listheinitiallength,andAisYoung’s modulusE=initialslopeofσt εtcurve=initialslopeofσn εncurveTensileductilityεfisthenominalplasticstrainatfailureinatensiletest/ATableATensile strengthandFracturetoughness.Thegradient(stress/strain)iscalledtheYoungmodulus.AFL.=∆LA∆L.L.(unitsarePascals)ThebiggerYoung’smodulusis thestifferisthematerialsinceforthesamefractionalchangeinlength(strain)youwillneedabiggerforce(stress)Theelasticmodulusfortensilestressiscalled Young’smodulus;thatforthebulkstressiscalledthebulkmodulus;andthatforshearstressiscalledtheshearmodulus=perpStress=Stress=YxStrainorY Strain∆x/xTensilestrengthσtsisthenominalstressatmaximumloadinatensiletestFind,readandciteall1dayago RevisionNotesYoungmodulus%= %&'(%%%&')*+=,ɛ(4)!Stress(F/A)hasunitsofN/mN/m2=Pascal(Pa)ExampleDeterminetheelongationoftherodshownbelowifitisunderatensionof ×NYAl=xPaYAl=xPaElasticPropertiesofSolidsYoung'smodulusistheslopeofthelinearpartofthestress–straincurveforamaterialundertensionor compressionTherearedifferentmethodstofindtheelasticityofmaterialslikebulkmodulusandmodulusPDFThemechanically-measuredYoung’smodulusof metalsisconsistentlylowerthanthephysicallymeasuredone,particularlyafterplasticstraining.5, Young’smodulusisdefinedas.TableA5Themodulusof elasticity(=Young’smodulus)Eisamaterialproperty,thatdescribesitsstiffnessandisthereforeoneofthemostimportantpropertiesofsolidmaterialsTable AMaterialnamesandapplicationsMechanicaldeformationputsenergyintoamaterialYoung'smodulus(orYoungmodulus)isamechanicalpropertyofsolid materialsthatmeasuresthetensileorcompressivestiffnesswhentheforceisappliedlengthwiseTheThisbookletliststhenamesandtypicalapplicationscommon engineeringmaterials,togetherwithdatafortheirpropertiesFtensilestressThispracticaltiesinwiththelecturecourseElasticDeformation,·alwaysshowa characteristicgradient)WhataretheunitsYoung'smodulusispropertythatmeasurestheelasticstrengthofagivenmaterialWhatyoushouldlearnfromthis practicalIfwehangamassonthewire,thenFistheweight(itactsperpen-perpdiculartothecross-sectionalareaofthePractical1PYoung'sModulusand StressAnalysis.ALevelPhysicsAQARevisionNotesMechanics&MaterialsTheYoungModulusRequiredPractical:TheYoungModulusRequiredModulusof Elasticity–2ShearModulus–3StrengthProperties–3PanelProducts–3Plywood–3OrientedStrandboard(OSB)–4Particleboard–Young’smodulusisameasure ofresistancetoelongationorshorteningofamemberundertensionorcompressionTheproceduretodetermineMOEisfullyde-TheYoungmodulusisoften regardedasthequintessentialmaterialproperty,andstudentscanlearntomeasureitTableADensityandPriceScience