Solution Manual For Applied Strength Of Materials, 5th Edition

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CHAPTER1BasicConceptsinStrengthofMaterialsWA70[o{SANSWERSINTEXT,.[16Wemg=JBo0My9.81mfs>=11658hgmn/s*e/Z748W=71744147ToTALWr=mg=oooRg931ans**39,204NEActFrowrwhee:Fr=(E)(0.40(39.2000)=785AvEACHRENwien:Fy=()(0.40)(39.200)=4.7784/-18 Loaciua=TOTALFoRLE/ARATOTALFORCE=680049-9.8/m/s*=66.7kNAREA=(5.0m)(3.8m)>/2.5m™Lotome=$57RYsovuS351A0fin¥=3.8400LATFotce=WT=pngo=25kg98mmfkv=2usnsK=SPRINGSCALG=YSVONJom=F/BaLTEsBILL=0.85Y5m=SYSKsImSTomen[22wW=/2.9AN2122004/x0.2248L8/N=3980L81-23Fe=785Ahn-730Nx0.22Y8L8/n=/765LBFR=1.7740+//770/20,2L¥8L6/w=26¥6L812¥Looms=3MAAe=3BINCN0.2298081a?==“*4ANa=flelewetERaye=TLL,12SFs29sw-0.229818/n=55.4LaK=YsvoNM»=ON2.220800Lo=28520844ef,SSeceAbeeGeanLLM

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DownloadedfromStudyXY.com®+StudyXYSdYe.o>\|iF’prE\3SStudyAnythingThisContentHasbeenPostedOnStudyXY.comassupplementarylearningmaterial.StudyXYdoesnotendroseanyuniversity,collegeorpublisher.Allmaterialspostedareundertheliabilityofthecontributors.wv8)www.studyxy.com

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/-2¢-AT28gs;-s*[1-26mm>en5LS,8S8.YStves/-2-aoJ28008stL227omalTor398L65239850ves[29f=)200ix6.895Ribfos=827%Kpe:1-30OT=2/600palXE.8ISKAf5=199000Abn<159ith.1230Sus17000454%6.995Rin/P=96,S00kth<96SMP.Su=P6000pex6.895Bfs/pei=509000Aff.=SIMA1-32m=/ISDREV,ZRRAD.Jrisn_J,—=Tw*HeyGa=LERaels2/==JY.nFx252,=33A=00xYon)=W900*WaridY=0.08mx285.Y29m/7822.03mm1-35Oimewsrons:18nx2s.Yomfri=YSprom12.100%285.YommJon=30SmmAREA=(18m\*=32¢m*3aren=(51mm)=209%/0%mm®VYotvme=V=AREA»HigrenTV=32¥m?y72.1=388814>V=0.5751oFT=2.25Fr}V=(209818mm)*305mm=6,371/8oniV=(0.9520%0.305mm=0.0637.m%=6.37%on?1-36.A=Nlo.sism)/Y=0.200"A=O.200wel25mm)’129.mm?Nn—_—-=L=223=-1-32oo£Zofry0.7Mp0=0.7Het—=L=2040}-[38ofToS=86.9Mp2=bETm0[739o=f.-Bois:_#(0.40/4ySBpet[40of.Bswre_i=aHo325mY/¥L7s0pud

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/=%#/LooowSHece=Wang=/8Y0My-%.8/mpr=IBDNW/2=25NovEACHSIEZt=0=025)(boom)=Cy(200mm)erCy=¥52[3€=ofan25¥#Laks-o=f£_.C_sw-7%=RT79.8mFa.600eso~=P_ZoosLre:o=2L=L¥zTTR=1393pai-y3 o-=Lo=29500Le/3Lisyw72=8034$ygL350MAka4A(80mm=$Y.2mPa1-YssmarogPanoky98m=ypr2hnnora8y=AB4in3Settee|fodBcy=BCainss®:Bey=BCCoa55°i©LgenSF=0=Ab~8Cxal0=ABA35°=BC.amSS’.BoAB=Bc="=/Y288cpiahs=pry£Fy=0=AB,+Bey9/244=ABcdsFBCCaS~2MY0=(L92880)Ca3s®+BCCa85°~Yh2oN2hv=BcL//7070.577]=47938cBe=#28)358=23,634KAB=428Bc=33.)5hnSTRESSINRVDAB:GymAE.B75un’yoegrSIA<101.9000[423.63x4%/StressmwPodBe:Ope=<"ey05:2Me,80_Hl.20°.STRESSINRovBD:Opps=:ToomeyFyC4301Mer

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LHeF20010071mRn™=(0.00092(0.90)(0.60)(3000)*F=2349s.A=TTC6m1m)Ji=20)roymy+=£.Z3ewwaaA20)ran=YEH=z_z/-%7A=Bomn)E=900smnForpasz=(10~4ora)he=/2hyG=Sanopox=le?MPaTEWSIONVA900mm»"mtFokBe:£,=po-90=7040_FA3:GweLN028mTENSIWRRCO:F<itohnF,3PAadLox,QUO=122APTENSI0WLIpecs:#0;ne12stomC0;A=mURYH=200mm™FoRAB:Fg=94S~/2.32+495=J1.52.AwFas_—/7.5270%Ong©=LLINNH_5,.‘as©ryTween35.7MbaComiR.FoRBL:Fp=-9.4512.32527.9240=Foe_=2.92300°NOg©=eLILYyyATTget4.7mcome.FoRco:F,=-9.65Ry,Fo=Feoo~165NEN=H.0Mb_Lome,Ae20/mmL482A=allie)00"Yr=0.999102(13uiPree-hre.A42)FoR:Tg»L£Bb=DSob1e_;TdDeansS029P5/redsnwFoRAB:Fp=2500+2(8000Crease’)=/435004Tas=Lae.Loos,=20#11ATrewsrow

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[50EM.=0=280005)~F,(35NTTFp=Y200Le2ossFooY2008-.9s8"ABunaSAfrol|TENNFe=2800181-375Jonr8B0=/0.5hN82)JABBc0.5410.54S.¢5k0/14528JointA?ADan30°=5:25AN“Ao=n.shv=coAA6AC=A0Coa20°=9.09hv=8cs.2.5k0Stresses:sAsac:Fy=i.=FOIAozsnpn.TERHY(42X30)pem™Bo:Go=Loa=Jo——Botan=LL.revsAO,EdtA=(30)(20)=So0mm*-3BoTeo=LOSXLON_2),opts.Comnmession$Y0my——————

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600012000Ey=0=booo(§)+1200072)~Re(4)okLeRr=10000Le\2M=0=]2000(5)+600002)-R,08)9.8Raw8oooLsAeAyeOo2O=id°€ALCAo£8Iea=8ovotsRa=ABao=A600)AB=R,Jo=8000/0.8=/0000L8(sms,300AP=ABcra0=/0008(0.6)=6080LETEMS.Ao|DE=AP=6000L82bo00L6BE2/4016000~AB48=OBe=A8sin0boroJ0000(D/E)~4ooe25901570s,—£8¢PN=o.8°JINeBCSABLon®+BEcose=10000(0.4)+250(0/)=BeB8C=7500LsCome.Ab= gp=o2000LBBC=CFCon®oCF=BC[eos=2500/0.6°[2590LsComp.6ceCE212000=CF2m©=/2000-/2S90(0.8)=200018<eecEFz120LeEF=CFeno=2500(0:8)=SV0L8rEWS,oNF’STResses:,EFTio=Ope=6000/0.968=6/95paiRe®/0000L6Ter=7500/p.968=*]778pipo=0RepsoFmemsees:(her,As,86)|oie=250/0.0ty"574.5psdAO,08,EF=2098)=0.968.m*|Tre=20mfp,ypy=tgpoi8D,ke,cE~0%Ym™Ope=~P00/s.p==$132pedAyBe,CF=20/2)=2.8mThe==7%0/2,42%=3049priMote:ComPRessIonMEMBERSmusTBEOte=“RSVO2.¥2=~5/65poiCHEtrenFogCoromwmBockiiné+StudyXxy

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/-5%enae’TH=0=(25X40~-AB(25)SELBWAb=20Rn’Coe2000|bor12.545Co)mmr——-15%A=moss)VY=0.200mo-=Flas12600L8/p,50+=63000p8L258pe26sAv0)+2LbyMo.YCE)]=YatmYo=Fs(Stevotoryuy0)=/)79/Poi/~56-L/P+===4=(80)(10)~(60)(/$)+IT(40)/¥=3ST7.mma=fpsSOKOAcr>=VI/-57DIRECTSHEAR—~SINGLESHEARAgs[12.004]men=113summ™=FagsIeSXOWY,)ron=146mpFsssw/-58"Br===IFyzo=$I)=F(45)PsFo=1727¥As=MOO)=0.07mm™100ysT=Fo=178srman=25.1en,_PwaSiresxeaeL559FpomPosV6:F=23495&As220mmHM]=157mm™DovBieSreeT=Fjps2369S0)mmS151MPa

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/-60 As=B.oX35I/0.Sm*P=FaseG8oorelso.cimX17/28)LlAs=(2039)+1150)=#957omm®T=FlAs=30.6x0°N/Y757mm>=8)HEIinV26%=0.72)m.—As=L20460)+1(0.8)/2+2(0.720]0.09y/NMRs=L/¥m*44T=Flas=YS00008/).1990>=3932¢#57of[-£3rape-FonT/R=ISN.05mmSsBsApo=5V294st,As=bt=(o)(22)=220amwm™T=Ffgy=NECC729.780PaL6YFieThsBoniamy,,,-moceAsc5.22lo.so)z.28)=frstT=Fol,=8o00i8ysspreIppidLbawDoveshone)AesAUTOR)=0.39340>7=hs20000087,35522&9S0s5/ColLag sremcoinFRomCowwerrorBonyAg=Tt=T(082)(0/875)=OrsSYIu™==20000LpSym=38300#5)LEypE00080)-8,(8)nkJ=leB,=BocoLeB=ByJeers=893(86,As=2(mo325)4)somvrGate.77%8/4=85/3L8/)05,+=_385V0PS)LeAs=H0)(12)=Y80.mam©7%Flyo8BAI®NJypmt=.183MPLEB452Grodir20)=4800man7'=Flgs=88.2xnJ9800smas®=18:4HP

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L288pcewrot=mUN(BY2I0L6mmToeFly=22.300J301,6apa=13.92000490.g,«202]=226.2mmTwoRIETS=SINGLESHEART=Ffas=B23[332goun®=15:/MP2cdT)pyrwor)HT=452.YmmmTwoRIGTI-BebLESHEART=FaasPRAWN[ys2.4ma”=22.55mbn

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CHAPTER2DesignPropertiesofMaterialsONLYTHOSEPROBLEMSREQUIRINGNUMERICALPATHACEShow.EMSunGoksi(62min);Sy=Oh(H11MM),25%crowd,BetAvseYoELowsATIon>So,IT1SDicTiLE.(per.#14)2/5JooHE:36%EonsATIIN-GREATERDutnLiry1040HR:25%sowintion(App,4-1)296Ais;NYOOT700:HinSverueAtLsySTEELwinio4%CARBON,QuewcHeED4OIL,TEMPERAr700'F.(APP,4-17)ZS)VES.Sys[72kei@dOOTI00Sy=1294%@0OT90BYWrERfoLATIONSy2/0Mt®O0rd00,(APsAY)2BE-=3puor)f20260)FokALLcrCBowAwArisSreecs.24wrsDewsry«VoLumss=(0,.283L84,3HLeB2-2(Are.4-1)PALaWiortvamnlrewr)areinsflacLemar=FC)x29=49093050003ASS=7680hy4.909v165peran®pony?.(APra-1)=""amXTSR5.07Aywry=Mg=3.714g.9.8an/s*e398hgrmfst=6.98va2-2MAGNESIVMwovLoBECAUSEITHAS4Lowe£,ELGuzUSGIEpp=19GRa]Ti8siFER,(APP.A-IS)2:23AlLoYorAtriumWITHSivilonANDMAKNESIVAHeATTREATEDTOT6rempPeR.2-2¢Sasy£ENSITY{ee#16)bosr-0JBwiBkst loxwCFsi0.410L8/sn3bobt-TY3SKs/UKs)bobr-reYsks/Hfousi“2-29I.-/)===Sue=YOks/|Swe=Yoks)(APPAI,L231Bevo03=tysogsi;Tewsiow058508S;Contooo15PAMMUA.ToGAN,38SFSiPetPewdicutanTo6h3SHER15=95°#5/(are.4-19)4-322000101000#5;(Secon2/0)

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2-44Graphitefibers.2-45S-glass,quanzfibers,tungstenfiberscoatedwithsiliconcarbide.2-51MaterialSpecificstrengthRatioto(in)AISI1020Graphite/Epoxy(HighStrength) 4.86x10625.0Aramid/EpoxyComposite4.00x10620.6Boron/EpoxyComposite3.60x10618.5Graphite/Epoxy(Ultra-himod)2.76x10614.2Glass/EpoxyComposite1.87x1069.63TitaniumTi-6Al-4V1.00x1065.15AISI5160OQT700Steel0.929x1064.78Aluminum7075-T60.822x1064.23)Aluminum6061-T60.459x1062.36AISI1020HRSteel0.194x1061.002-52MaterialSpecificmodulusRatioto(in)AISI1020Graphite/Epoxy(Ultra-himod)8.28x1087.81Boron/EpoxyComposite4.00x1083.77Graphite/Epoxy(HighStrength) 3.45x1083.25Aramid/EpoxyComposite2.20x1082.07AISI1020HRSteel1.06x1081.00AISI5160OQT700Steel1.06x1081.00TitaniumTi-6Al-4V1.03x1080.97Aluminum6061-T61.02x1080.96Aluminum7075-T60.99x1080.93Glass/EpoxyComposite0.66x1080.622-60Vm=1-Vf=1.0-060=0.402-61SeeEquation(24).2-62SeeEquations(2.I),(242,(23),(2-H)+StudyXY

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2-63Given:Vr=0.50;Fibersarehighstrengthcarbon-PAN;MatrixisEpoxySeeTable2-s'fordata.Vm=1-Vf=10-0.50=0.50UseEquation(2.4):suc=SufVf+om'VmStrainatwhichfiberswouldfail:&=suf/Ef=(820x103psi)/(40x106psi)€f=0.0205Stressinmatrixatthisstrain:om'=Em€=(0.56x106psi)(0.0205)=11480psiThen:suc=(820x103psi)(0.50)+(11480psi)(0.50)=415x103psiModulusofelasticity:Ec=EfVf+Emvm=(40x106)(0.5)+(0.56x106)(0.50)Ec=20.3x106psiSpecificweight:yc=yfVf+ymvm=(0.065)(0.50)+(0.047)(0.50)yc=0.056Ib/in32-64Given:Vf=0.50;Fibersarehighmoduluscarbon;MatrixisEpoxySeeTable2-/5fordata.Vm=1-Vr=10-0.50=0.50UseEquation(2-1):suc=SufVF+om'VmStrainatwhichfiberswouldfail:ef=suf/Ef=(325%103psi)/(100x106psi)&f=0.00325Stressinmatrixatthisstrain:om=Em€=(0.56x106psi)(0.00325)=1820psiThen:suc=(325x103psi)(0.50)+(1820psi)(0.50)=163x103psiModulusofelasticity:~~Ec=EfVf+Emvm=(100x106)(0.5)+(0.56x106)(0.50)Ec=50.3x106psiSpecificweight:yc=yfVf+ymvm=(0.078)(0.50)+(0.047)(0.50)yc=0.0625Ib/in32-65Given:Vr=0.50;Fibersarearamid;MatrixisEpoxySeeTable2-5fordata.Vm=1-Vf=10-0.50=0.50UseEquation(2-4):Suc=sufVf+om'VmStrainatwhichfiberswouldfail:€f=sur/Ef=(500x103psi)/(19x106psi)&f=0.0263Stressinmatrixatthisstrain:om'=Em€=(0.56x106psi)(0.0263)=14740psiThen:suc=(500x103psi)(0.50)+(14740psi)(0.50)=257x103psiModulusofelasticity:Ec=EfVf+Emvm=(19x106)(0.5)+(0.56x106)(0.50)Ec=9.78x106psiSpecificweight:yc=yfVf+ymvm=(0.052)(0.50)+(0.047)(0.50)ye=0.0495Ib/in3+StudyXxy

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SolutionstoProblems2-66to2-67:SomedataapproximatedfromFigureP2-66.MostaccuratevaluesareforUltimatestrength(b.)and%elongation(f).Elasticlimit(d.)estimatedbetweenproportionallimit(c.)andyieldstrength(a.)Modulusofelasticity(e.)computedfrom(Astress/Astrain).DataareapproximatedMaterialsfoundfromAppendixesA-13throughA-17matchings,,,s,,%Elongation,andE2-66a.sy=73ksi-Offset2-67a.s,=173ksiYieldpointb.s,=83ksib.s,=187ksic.s,=60ksic.p=162ksid.Sq=67ksid.sq=168ksie.E=10.0x10°psie.E=20.0x10°psif.11%Elongationf.15%Elongationg.Ductileg.Ductileh.Aluminumh.SteelI.7075-T61.AISI4140OQT9002-68a.s,=62ksiOffset269a.s,=49ksi-Yieldpointb.s,=75Kksib.s,=65ksic.s,=50ksiCc.s,=4Bksid.Sq=56ksid.Sq=48ksie.E=16.7x10°psie.E=26.5x10°psif.15%Elongationf.36%Elongationg.Ductileg.Ductileh.CopperAlloyh.SteelI.G54400Bronze-hardI.AIS]1020CD2.70a.Nos,-Brittle2-71a.s,=53ksi-Offsetb.s,=55ksib.s,=59ksic.Ss,=50ksic.Sp=31ksid.Sy=53ksid.Sq=42ksie.E=20.0x10°psie.E=12.0x10°psif.0.5%Elongationf.5.0%Elongationg.Brittleg.BorderlineBrittle/Ductileh.CastIronh.ZincI.ASTMA48Grade60I.CastZA-122-72a.s,=35ksi-Yieldpoint2-73a.s,=19ksi-Offsetb.s,=57ksib.sy=40ksic.Sp=30ksic.sp=14ksid.Sq=27ksid.Sq=17ksie.E=26x10°psie.E=6x10°psif.21%Elongationf.5%Elongationg.Ductileg.BorderlineBrittle/Ductileh.StructuralSteelh.MagnesiumI.ASTMA36I.ASTMAZ63A-T6

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2-74a.s,=155ksi-Offset2.75a.S,=40ksi-Offsetb.s,=170ksib.s,=45ksic.sp=142ksic.sp=30ksid.Se=149ksid.Se=35ksie.E=16.5x10°psie.E=10.0x10°psif.8%Elongationf.17%Elongationg.Ductileg.Ductileh.Titaniumh.Aluminum1.6Al4Vl.6061-T62-76a.s,=80ksi-Offset2-77a.s,=80ksi-Offsetb.s,=90ksib.s,=95ksic.sp=62ksic.sp=55ksid.Sg=T71ksid.Sq=68ksie.E=26x10°psie.E=26x10°psif.15%Elongationf.2.0%Elongationg.Ductileg.Brittle,butdoesyieldh.StainlessSteelh.MalleableIron1.AISI430fullhard1.ASTMA220Grade80002

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CHAPTER3DesignofMembersUnderDirectStresses=&2.501’2,31o-=elSBte=x352Reod_Sy=2=2/08)*2bsla.ALvenum 201Y-TYHASSys290mb (APPewpryA168)32=he200x0°N22oA,=66.747"05=SugREGOSy=&T5°8L66.2MF0)5533(1a.AWSGoowDucaLiTYAISI115)ANNEALEDHASSus600M)26%Ecavsaminy,(A-1d)33o=8=/720LOLorn)?=PISVA5)=0=SufgReGDSu=8a=8(/0750)®BE000FS]PusGovoDucnuiryAI3)DWOTBooWAS5,=81Aei332%sroncarnn(A-19)I4 o=he180s=i.,==Hessremyfered=Gaso.0sy(ASC)ReooSy=03/p.co167054)40=27900per.ASTMA36STRICVRALSTEELMASSy=36c00ms(A-/6)28ohoSL0Lte95hpai100HibwyGuiSSE(A419)(A-4)_Sesmee)3-6“W0./GRADEDovGLASFIRHASGaueon=/050PS(A-19)©T0USENo.2GRAVESovTHERWFINE:O@uion®TSPReoDAtenLo,520088gpg2rarymLe]3USE2X8or¥xYofTwo2xY.37=a)A-e__evooreIS=CPATE.T2000yn©2.533rsTOVYReoo0=V7775<Y¥las33:0")pr=0:8814SPECIFYYom(0.875w)021.004.D/A.38TTAMASE=JISO+6350=Woy1815Ryowencksre.F=megwil1SAgGUm/s¥eIWNCReadA=_P__(83942=BIL2263mem=(wrX8pum)Re®Ddwr=263ann’/8pum=32.8ammmSELEYr=35.0ows+StudyXxy

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