浙江工业业大学材料力学考研样卷3

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1、MaterialMechanicsExamination2003-2004SecondTermClass：Number：Name：Score：.1.(15points)AwoodentrussissubjectedtoaforcePshownasfollowing.Known:P=80kN,theallowabletensileandcompressivestress[ot]=8MFa,[oc]=10MPa.Determinethecross-sectionalareasofbarABandCD.(Neglectstability).2.(15p

2、oints)TheT-shapeBeamasshownintheFigure，Known:theallowabletensilestress[o{]=60MPa，theallowablecompressstress[oc]=200MPa.Checkthestrengthofthebeam。(Iz=763cm4,

3、yi

4、=52mm)1.(15points)Forthestresselementinthefigure.(1)Findtheshearstressandnormalstressintheinclinedarea;(2)Findthepri

5、ncipalstressanditsdirection;(3)plottheprincipalplaneinthestresselement.202.(15points)AhollowshaftwithouterdiameterD=200mmandinnerdiameterd=160mm.Known：P=60kN,theallowablestress[o]=80MPa,/=500mm。(1)Checkthestrengthofthisshaft;(2)Showtheriskypointinthefigure;and(3)plotthestress

6、elementoftheriskypoint.1.(10points)FindthecriticalloadFcrandthecriticalstressacr.Known:thecoefficientofeffectivelength(1=1，hollowcolumnwithouterdiameterD=52mmandinnerdiameterd=44mm,thelengthL=950mm,thetensilelimit(7h=1600MPa,theproportionallimit=120QMPa,E=210Gpa.F1.(15points)

7、AweightPisdroppedontothesimplebeamAB,asshowninthefigure,fromaheighth.Determinethemaximumnormalstressofthebeamandtheverticaldeflectionatthemiddlepointofthebeam.Given:E，I，W.hA,1CI2//3Z/32.(15points)Abeamandabarareshownasthefollowing.Given:q，L，theflexuralrigidityElofthebeamABC，t

8、heconstantEandthecross-sectionalareaAofthebarBD.FindtheaxialforceofthebarBDandtheverticaldeflectionatpointBofthebeam.LLAppendix：CommonEquationsofM.M1、TensionandCompress:a=—；A/=-AEA2、Torsion：Tp=3、Bending：gTpIpMyTmax-•，伞maxmaxTlGIT-(PGIm=95491onQS;d2v_MV=JJdx)^.v~^X+D4、Stressst

9、atus：G+CJVox-

10、olumns：i9、DeflectionsandslopesofBeams表6.1梁在简雎载荷作用下的变形序梁的简图挠曲线方稅端锨面转舟