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Chapter7
MechanicsPropertiesofWood(木材的力學(xué)性能)
Structuralapplicationsofwoodproductsareomnipresentintoday’ssociety,andFigure10.1showstwo
suchapplications.
SomeofthemostimportantmechanicalproperiesofwoodproductsrealistedinTable10.1
Force,expressedonthebasisofunitareaorvolume,isknownasastress(應(yīng)力).
Themeasureofdistortionreslutingfromappliedstressisknownasstrain.(應(yīng)變)
Figure10.2illustratesstressandstraininawoodtestspecimenundercompressionparalleltothegrain.
Theelementcatalogiesofstressare:tensilestress(拉應(yīng)力),compressivestress(壓應(yīng)力),bendstress(彎曲應(yīng)力),torsinalstress(扭轉(zhuǎn)應(yīng)力),shearstress(剪切應(yīng)力)andsoon.
1Stress(應(yīng)力)andStrain(應(yīng)變)1.1DefinitionofStressandStrain(應(yīng)力和應(yīng)變的定義)
PPPPPPshearstresstensilestresscompressivestressL⊿LP1.2Therelationshipbetweenstrainandstress(應(yīng)力與應(yīng)變的關(guān)系)
2Elastictity,Plasticity,andCreep(彈性,塑性,蠕變)2.1Hooke’sLaw(虎克定理),ModulusofElasticity(彈性模量)
Hooke’slawstatesthatthestrainεisproportionaltothestressσ:ε=α.σ
whereα=ε/σisacompliance,i.e.,thestrainperunitstress.Inthetechnicalliteraturenormallythereciprocalvalue1/α=Eisused.
2.2RhombieSymmetryofwood(木材的正交對(duì)稱性),AnisotropicNatureofWood(各向異性),SystemsofElasticConstants(彈性體)
Ashasbeenshownabove,woodisananisotropicmaterialbutthetrunkofatreeconsistsmoreorlessofconcentric
Eiscalledthemodulusofelasticity(彈性模量)orYoung’smodulus.(楊氏模量)
cylindricalshellsthusimpartingacylindricalsymmetrytothewood.Thesymmetryisreflectedinmostphysicalpropertiesofthewoodasinoftheelasticproperties,thestrengthvalues,thethermalandelectricalconductivityvalues.Theanisotropyodconiferouswoodsismuchmoreprouncedthanthatofbroad-leavedwoods:thisissepeciallyvalidforthequadrantz-x,asFig.7.32.3InfluencesAffectingtheElasticPropertiesofWood(影響木材彈性的因素)
(1)GrainAngle2.4PlasticityandCreep(塑性和蠕變)
(1)Stress-strain
Behaviour
Hooke’slawcannotbeexpectedtobevalidinawiderangeforsuchcomparativelycomplicatedmaterialsaswoodandothernaturalhighpolymers.Thestress-straindiagramisthereforenotthesameasforanidealelasticbody.
Ifidealelasticbehaviourisattributedtorubber,thenaloading–underloading.cyclecanbecarriedoutwithoutenergyloss,andtimeisnotafactor.Forwoodandotherelastic-plasticmaterialsastress-straincycleasinFig7.27takespalce.ThermodynamicallytheareaofloopC’D’F’A’repreasentstheenergylossduringtheentirecycle.Ifthestressalwaysactsonlyinonedirectionandifthestress-straincyclesarerepeated,thenthepermanentsetmaybeincreasedascanbeseenfromFig.7.28
(2)CreepandCreepRecovery
Wood,accordingtothepresentpresentexperimentalresultsandresults,possessesbothelasticaswellasplasticproperties.
AscanbeseenfromFig7.30,ifweapplyastressatzero-timethereisaninstaneaouselasticdeformationOA.ThisisfollowedbyaretartedcreepABenderconstantstress.Onremovalofthestressattimeaninstaneaouselasticrecoverytakesplace,followedbyaretardedpartialcreeprecoveryfromtoDattime.Afterthat,furtherrecoveryissoinsignificantthatitcanbeneglected.ThusDErepresentsthepermanentdeformationleftattheendoftheloading-unloadingcycle.3TheStrengthofWood(木材強(qiáng)度)
3.1DefinitionofStrengh(木材強(qiáng)度的定義)
Theresistanceofthebodytotheappliedatressisknownasthestrengthofthematerial.
Sincethereareanumberofdefferentkindsofstressws,thestrengthofthematerialmustbestatedintermsofitscompressive,tensile,shear,orbendingstregth.
3.2EffectofSpecificGravityonStrengthofWood(比重對(duì)強(qiáng)度的影響)
Thespecificgravityofwood,becauseitisameasureoftherelativeamountofsolidcellwallmaterial,isthebestindexthatexistsforpredictingthestrengthpropertiesofwood.
Ingeneralterms,withoutregardtothekindofwood,therelationshipbetweenspecificgravityandstrengthcanbeexpressedbytheequation:S=KwhereSisanyoneofthestrengthpropertise,Kisaproportionalityconstantdifferingforeachstength
property,Gisthespecificgravity,andnisanexponentthatdefinestheshapeofthecurverepresentingtherelationship.Fig6-6presentscurvesforthreeimportantstrengthpropertiesattwolevelsofmoisturecontent.
TherelationshipofstrengthtospecificGravityseenTab10.2.
Theeffectiveofwoodinresistinganyparticularformofappliedforceisafunctionnotonlyofthetotalamountofthewallmaterial,butoftheproportionsofthecellwallcomponentsfoundinagivenpiece,andalsooftheamountofextractivesinthecelllumen..Ameasureoftheefficiencyofthewoodtoresiststressisgivenbyanindexcalledthespecificstrengthwhichistheratioofstrengthtospecficgravity.Thisindexisgeneraltermsastheweight-strengthratio(比強(qiáng)度)
InComparisonwithotherstructhralmaterials,theweight-strengthratioforwoodisveryfavorableforsomeapplications.Woodhasahighindexofrigidityincomparisonwithsolidstructuralmaterialsandiswellsuitedforuesinsituationsthatrequireelasticstability.Besides,woodsuffersincompasionwithmetalsforusesthatrequirehighshearandcompressionresistance,becausetheverydistributionofwoodsubstancethatincreasestherigidityinbendingreducestheshearandcompressionefficiency.3.3EffectofMoistureContentonStrengthofWood(含水率對(duì)強(qiáng)度的影響)Mostofthestrengthpropertiesandelasticcharacteristicsofwoodvaryinverselywiththemoisturecontentofthewoodbelowthefibersaturationpoint.Ineffect,thechangesinmoistureaffectspecificgravityvalues,ashasbeenpointedoutearlier,andresultinchangesinstrength.TheserelationshipsforthreedifferentstrengthpropertiesareplottedascurvesinFig6-7.3.4EffectofTimeonStrengthofWood(時(shí)間對(duì)強(qiáng)度的影響),DeformationinWood(木材的形變),Relaxation(松弛)
Deformationinwoodunderstressistheresultoftwoindependentcomponentsoperatingsimultaneously.
Theelasticbehaviour(彈性變形)ofwoodresultsfromthepresenceandbehaviourofthecellulosemicrofibrilswhichexhibitelasticresponsetoloadapplicationandremoval;i.e.,the
deformationnisfullyrecoverablewhentheloadisremoved.Thesecondcomponentofdeformatioonistheplasticdeformation(塑性變形)beginswiththefirstapplicationofloadandincreaseswithtime.Recoveryofplasticdeformationinwoodisslowandeventuallyamountstoonlyabouothalfofthetotaldeformation.
Apieceofwoodmaintainedataconstantdeformationwillshowadecreasingmagnitudeofstressresistancetothedeformationwithincreasingtime.Thisphenomenonofdecreasingstressresistanceofthewoodastheresultofplasticflow(塑性流動(dòng))isknownasrelaxation(松弛).3.5TensileStrength(拉伸強(qiáng)度)
Neverthelessthetensilestrengthofwoodparalleltothegrainisextremelyhighandmayreach,forsomespeciesintheair-drycondition,amaximumof3,000kP/.Thetensilestrengthofseparatedwoodfibersisevenhigherandmayvarybetweenabouot2,000and13,000.kP/.
DeterminationofTensileStrengthalongtheGrain(順紋方向的拉伸強(qiáng)度測量).AstheTensileStrengthalongtheGrainismuchgreaterthanthatthecompressivestrengthperpendiculartothegrainandtheshearingstrength,itisdifficulttocarryoutsatisfactorytestsintensionparalleltothegrain.Themeasurementareasfollows:3.6Compressivestrength(壓縮強(qiáng)度)
ThemaximumCompressivestrengthplaysanimportantroleintheutilizationofwoo
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