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1、00习题要求:1.将题目转化为MicrosoftWord文档;2.解题过程用MicrosoftWord文档,公式用公式编辑器,只交电子文档作业;3.期末考试前必须作对所有所给题目,否则不能参加期末考试,请于指定时间前交作业。第一题(2010年3月5tl前交该题作业)星期五1.10Ihehomogeneous8U0-kgIxitAHissupportedatcitherendbyasteelcable.Caleulalc11ksafe狀ofi^iehcableil'hcworking站「cssis12nMPa(nrsccel.fig.n,io1.21Determin
2、ethesmallestallowablecross-sectionalareasofmembersBD,BE,andCEofthetrussshown.Theworkingstressesare20000psiintensionand12000psiincompression.(Areducedstressincompressionisspecifiedtoreducethedangerofbuckling.)Thefree-bodydiagramofhomogeneousBCinFig.(b).Theequilibriumequationare工My=0,16
3、x36-24PAv=0,P=24(kips)=24000(lb)B8ftPbd>1ib4PremPce36kipsP*yThefree-bodydiagramoftrussinFig.(c).Theequilibriumequationare4QJX"+-8X36=0'Pbd=—8.944(kips)(Compression)工Mb=0,8PAv-SPce=0PcE=24(kips)(Tension)工F、,=0,PAy-0J07PBE-364-PBD=0Pbe—ll-32(kN)(Compression)ThenormalstressofamemberCE,DE
4、andDFis(Compression)(Compression)aBD=竝=8944lb<12000(仏/in..37ComputethemaximumforcePthatcanbeappliedtothefootpedal.The1/4-in.-diameterpinatBisinsingleshear,anditsworkingshearstressis4000psi.ThecableattachedatChasadiameterof1/8in.andaworkingnormalstressof20000psi.)Abd人血ABD=0.745(in2)(yB
5、E=^=11320ZZ?<12000(//?/in.2)^beABE=0.943(in.2)24000//?<20000(/75/)(Tension)ABE=l・2(in?)6in.►h2in.SolutionThefree-bodydiagramofbracketinFig.(b).Theequilibriumequationare=0,6P-2TsinlO°=0?P=0.05788T(a)工F.=0,PBx+Tcos10°=0,Pbx二0.9848T工耳=0,Pfiv-P-Tsinl0°=0,PBy=0.2315TAccordingtothenormalstr
6、essesformula,wehaveATa=——-——-<20000(//?/in?)T=245.4(lb)7ixOA25in.Accordingtotheshearstressesformula,wehaveV4JP二+P:4Ta/0.98482+0.23152.2.T=—=;=;一;<4000(//?/in.)A册穴x0.25加.T=194.1(lb)Accordingtoformula(a)9wegetP=0.05788T=0.05788X194.1=11.2(lb)第二题(2010年3月10日前交该题作业)星期三3.52Thecompoundshaft,
7、cousislingi>fskelandaluminumsegments,carriesthebvoLorqwcsshowninIhefigure.DetermineilkmaxinmnipermissiblevalueofTsubje^lto]kdesignconditinns:Tst兰S3MP^i.tdis55MPa,itnd“三6,Ji;“sstheangleofrotationofthefreemd«.UseC83GPalorsteelandG=2KGPiiIbr4ihLininuni.FIG,P3.522.37Aninitiallyrectangula
8、relem