托木斯克理工大學(xué)機(jī)械系研究生入學(xué)考試題

①eaepajibHoeareHTCTBOnoo6pa3OBaHHK)HauKOHajibHbiiiHCCJieflOBaTejibCKHHTomckhhnojinTexHnqecKniiyHHBepcHTerMATEPHAJIblME^WCUWnJIWHAPHOrO3K3AMEHA

noHanpaBjieHHioMarHCTepcKoiinoaroTOBKH150900-?TexHOJiorHM,o6opy/iOBaHHehaBTOMaTH3amisiMaUIHHOCTpOHTejIbHblXnpOH3BOflCTB?Tomck2010EBK4484MaTepwajibiMeH<4ncuHnjiHHapHoro3K3aMeHanoHanpaBJieHHK)MarHCTepcKoiino^roTOBKH150900-?TexHOJiora?,o6opyaoBaHnehaBTOMaTH3aUH5IMaUIHHOCTpOHTeJILHblXnpOH3BO4CTB?.-TOMCK：03a.Tny.1998.-115c.BcSopHHKecoaep^caTcsMaTepnajibiMe淚incuunjinHapHoro3K3aMeHa(M〃3)加兄nocTynammHXbMarwcTpaTypynonporpaMMaM〈TuHaMHKawaxycTHKacTaHOHHbixcmctcm?h?TexHonornHecKa兄ocHacTKaMaiuHHOCTpoMTejibHbixnpon3Bo〃CTB?HanpaBJieHHKMarncTepcKoiino4roTOBKH150900—?TexHOJioras,o6opyaoBaHnehaBTOMaTH3aunsMamHHOCTpOWTeJIbHbIXnpOH3BOflCTB?.MaTepnajibipaspaSoTaHbibcootbctctbehcKoMnjieKCHoiinporpaMMoiipa3BHTH兄TomckotonojiHTexHHnecKoroyHKBepcHTeTaKIIP-2010.PyKOBo〃HTejibnpoeKTa-3aBeayioinHHKa(|)enpo而《ABTOMaTH3aun兄npo60ra3a“n兄bMamnHOCTpoeHHH?,1110n.M.f.?ToMCKMHnOJIHTeXHHHeCKHHyHHBepCHTCT,2010.BBe〃eHneflpeflCTaBjieHHbiebcSopHHKeMaTepnajibi (MMa3)npe〃Ha3HaqeHbizuisrouchkhcooTBeTCTBHaypoBH兄no^roTOBKHcneunajincTOBTpe6oBaHn凡m「ocyaapcTBeHHbixo6pa3OBaTejibHtixCTaHaapTOBBbicmeronpo(|)eccMOHajibHoroo6pa3OBaHH?PocchhckowOeaepauHK.C6opHHKC04epn<MT3a〃aHHJIZIJIHnpOBepKHOCTaTOHHbIX3HaHHHnoconpoTHBjieHnioMaTepnajiOB,3alitaHHHajwMe)KflHCunnjiKHapHoro3K3aMeHahKOMnjieKCHbieKOHTpojitHbie3a〃aHH兄KoMnjieKCHoeKOHmpojibHoe3adanue(KK3)—nojiK4HCUKnjinHapHoe3alaaHHe, npe4cTaBJiaK)mee co6onTexHHqecKyio3ajiaqy,4eTajiH3HpoBaHHyioBonpocaMHnpenMymecTBeHHOH3uhkjiobcneunajibHbixmo6menpo4)eccHOHajibHbixancuHnjiHH.KK3npe4Ha3HaHeHOjuihouchkh nojxroTOBKH1gHnjiOMHpoBaHHbixcneunajincTOB(hh次eHepoB)3adaHued明Me^fcducijuwiuHapHoao3K3aMeh。-3a;iaHneno6a3OBoiiHanpaBjieHH兄*icunnjiHHeecTecTBeHHO-HayHHoroUHKjia,HMeiomeeMe^wciiHnjiHHapHbiHxapaicrepbtomothoiuchmm,htootbctbiHaBonpocbi3aaaHH兄npe/inojiaraK)TnpHMeHeHneMeTO4onorwHhannapaTaMaTeMaTMKH,4)h3hkmhbo3Mo米ho即yrax〃ncunnjiHHecTecTBeHHO-Hay^HorouHKjia.-3adaHuedjinnpoeepKUocmamouHbix3hghuu-3alqaHHenoojiHoiiH34KCUHnjiHHecTecTBeHHO-HayHHoroJin6oo6meo6pa3OBaTejibHorouhkjiob,npeaHa3HaqeHHoeajisinposepKHycBoewnsrcTyaeHTaMH6a30Bbix nojio?ceHHH〃HcunnjinHbikyMeHHsHcnojib3OBaTbnojiyqeHHbiepaHee-bripe1abinywHxceMecipax-3HaHH>inpnpemeHHHKOHKpeTHbix3anaq.KMnoaroTOBJieHbibTomckomnojiMTexHHHecKOMyHnBepcMTereaBTOpCKHMKOJIJieKTHBOM：Aou.AH(j)Hjio(j)beBA.B.,4ou.Kynpn兄hobH.A.-KM口jmnposepKHocTaTOHHbix3HaHHiinoconpoTHBJieHMK)MaTepnajioB,〃ou.IHyMCKKMM.n.,4ou.「ojibaiiiMHaTM.r.-3aaaHHHajmMe次口HCUHruiHHapHoro3K3aMeHaSaKajiaBpoBnoHanpaBJieHH51M.“OU.CKBOpiIOBB.①.，150H.rOJIbmUMKflTMT.-KOMnjieKCHbieKOHTpojibHbie3aaaHH5inocneuwajibHOCTH.KoMnbioTepHaaBepcTKa-Ct.npenoaaBaTejibAT.BpnrajiKH,yu.MacTepC.①.CmacK.KM,BomemiiHebHacTOMiunnc6opHHK,Haane次htKcnojib3OBaTbbKOMnjieKTecuacTbio1c6opHHKaKM,coqep次ameroMaTepwajibiajihnposepKHocTaTOHHbix3HaHniinoUHKjiyecTecTBeHHO-HayHHbix4HcunnjinH.COnPOTMBnEHMEMATEPMAJ1OBKOHTponbHbie3aAaHkianpoeepKiiocraTOMHbix3H3HMMIio凡CHirrejibHa兄3anncKaKKOHTpOJIbHbIM3a口aHHSIM npOBepKHOCTaTOHHbIX3H3HHMno4HCunnjiHHe?ConpoTHBJieHHeMaTepnajiOB?4Ji5iCTyaeHTOB,o6yqaK)wnxc兄noHanpaBJieHMK)552900?TexHOJioraa,o6opyaoBaHHehaBTOMaraaauHsMamHHOCTpoHTejibHbixnpon3BoacTB?Ha3HaqeHne—npoBepKaocTaTOHHbix3HaHniinHaBtiKOBbpeweHH兄x3a〃aqno?ConpoTHBJieHMK)MaTepHajioB?.KoHTpojibnpoBO^MTcanonpHjiaraeMbiMkohtpojiehmm3alltaHUJiMbTeneHHe4ByxyneSHbixnacoB(90mhh.).3aaaHHeBKjnoqaeTaBaBonpoca-nepBbiHHMeerlioh兄?iiHbiiixapaKTep,BTopoii-3alitaua,TeMarauecKHCBasaHHajicnepBbiMBonpocoM.OtbcteiHaBonpoctiaoji次hm6biTbH3Jio區(qū)emjnncbMeHHOcnoacHeHweMBcexHcnojib3yeMbix6yKBeHHbixo6o3HaueHH訪，khk06menpHHHTbix,TaKhbbo4hmmx,ccjih3ToHeo6xo〃HM。npnOTBeraxHaBonpocti.AonycKaeTCJi卬isotbctobHaBonpoctinpnBJieKaTbyneSHyio,cneunajibHyK)jiHTepaTypy,KOHcneKTbineKijHn.CTyaeHTaojDKeH6eiteonoBemeH3aHeaejiioo1aHenpoBejjeHH兄hyCJIOBHHXKOHTpOJISHO3HaKOMJICHCTHHOBEIMBapHaHTOMKOHTpojibHoro3alaaHH兄mo6pa3noMoTBeTa.OcHOBHbieo6o3HaqeHH?:口“兄CTep次HeBbIXKOHCTpyKUHHCHCTeMaKOOp〃HHaTHMXoceiinpHBS3anakochCTepHCHs:X-octCTep次h凡,Z,Y-ockbnjiocKocraerononepeHHoroceueHHH,Z-nepneH13HKyjuipHarjiockocthJincTa,KOTopbi而nepe/jBaMH.E-HopMajibHbiiiMoqyjibynpyrocra,G-MO4yjibc4BHra,日-KO3(|)4)HUHeHTIlyaccoHahKO3MnuHeHTnpHBeaeHHaajikheiCTep次h兄npnpacneTaxHanpo/jojitHbiiim3fh6,cr-HopManbHoeHanpa^eHne,t-KacaTejibHoeHanpa次eHHe,8-jinHeiiHaM4e(J)opMauHM,y-ymoBasae(j)opMauHM(yronc〃Bnra).FIpHHMToHanp兄次eHH兄h〃e(])opMaunHnoKa3biBaTbcHH〃eKcaMH,yKa3bIBaK)IUHMHHXOpneHTaUHK)BnpKHSTOKCHCTCMeKOOpflHHaTHEIXoceii,aTaK次eCMbicjioBoe3HaueHHe.HanpHMep:crx,Txy-HopMajibHoeHanp兄次eHHeHanjiomaaKecHopManbioX,KacaTejibHoeHanpw次eHneHaruioma耶ecHopMajibioXnoHanpaBJieHHK)Y,6-nepBoerjiaBHoeHanp兄＞KeHne,b3KB-3KBHBaneHTHoeHanps^ceHne,Ct,c?b-npeflenTeKynecTH,npe4ennpoHHOCTH(BpeMeHHoeconpoTHBJieHHe),5),2~ycjiOBHbiiinpeqejiTeKyHecra,[a]-qonycKaeMoeHanps^eHne,A-njiomaabnonepeHHoroceqeHHSiJ-momchtKHepuMHnonepeHHoroceueHH兄，W-momchtconpoTMBJieHHflnonepeHHoroceueHH兄.ripHHSTOMOMeHTblHHepUHHHMOMCHTblCOnpOTHBJieHKSconpoBOJKaaTbHH〃eKcaMH,HMemmHMHCMbicjiOBoe3HaqeHne.HanpnMep:Jz,Wz-cooTBeTCTByiomHereoMeTpnqecKHexapaKTepncTHKHOTHOCMTejIbHOOCHZ,A-JiHHeiiHoehjihyrjioBoenepeMemeHHenonepeHHoroceueHMJibcncTeMeno〃Harpy3Ko說(3a3op),S-JiHHeiiHoehjihyrjioBoenepeMemennebCHCTeMeno〃〃eiicTBneMeziHHHMHOHHarpy3KH,noaaTJinBocTb.IlpHHMTOnepeMemeHHeconpoBO的iaTbKH4eKcaMH,kmcioiuhmkCMbicjiOBoe3HaueHHe.HanpHMep:AiP-nepeMemeHHenoHanpaBJieHHioi(i=l,2...)otHarpy3KHP,HanpaBJieHHeiMO>KeTSeitbJinneHHoehjihyrjioBoe,AL-H3MeHeHne4jihheiCTep次hxL,At-H3MeHeHMeTeMnepaTypbi,R-onopHaapeaKUHM(V,H-eeBepTHKajibHaanropn3OHTajibHasicocTaBJisiomKe),P-cocpeaoTOHeHHaaHarpy3Ka(cHJia),q-pacnpeaejieHHaflHarpysxa,M-COCpeaOTOMeHHMHMOMCHT.ripHHSTOMOMCHTCOnpOBO^aTbHHJXeKCaMH,HMdOIUHMHCMblCJIOBOC3HaqeHne.HanpnMep:Mz,My-h3ra6aK)wnemomchtbi(Mh)OTHOCHTejibHOoceiiX,Y,Mx-KpyTMmHHMOMCHT(MK),N,T-HopMajibHashnonepeHHaacmiabceneHnn(BHyTpeHHMeCHJIOBbie(j)aKTopbi).JlMTeparypa:.①eo〃ocbeBB.U.ConpoTHBjieHHeMaTepnajiOB：yqe6HHKajmBTy30B.-M.:Hayxa,1976-1986..BenseBH.M.ConpoTHBjieHHeMaTepwanoB.-M.:fUTTJI,1979.

KoHmponbHoe3ada“ueNo1OnanpoeepKUocmamoyHbix3HanuuOaKanaepoenoHanpaeneHUfiM552900,551800IIOHHTHeHaaeJKHOCTnKOHCTpyKUHiiB"ConpOTHBJieHMHMaTepnajioB".IloKasaTejibHa琥次hocth.Onpe/jejiHTb3anacnpoHHOcra1aji兄KOHCTpyKunn.P=60kH,L—1m,d=30MM,c=120mm,npedenmeKynecmu:ar=240Mna,npedennpo^Hocmu:agc=80Mna.conpoTSBJieHseMaTepsanoB KoHmDonbHoe3ada“ueNo2d/7anpoeepKUocmamo^Hbix3HdHuuSaKanaepoenoHanpaenenu^M552900,5518003kohomkhhoctbKOHCTpyKUHiinnyrweeaocra次eHn兄b"conpoTHBJieHHHMaTepwajioB"?CpaBHHTbconpoTHBjieHHeCTep次h兄npnflByxopneHTaunaxceueHH兄no〃Harpy3Ky.^aTbpeKOMeH〃aunnnochh次eHHK)pacxoaaMaTepnajiaH3MeHeHneM(bopMbiceneHMM.P=3kH,h=30MM,b=50MM.

Koumpo/ibnoe3adanueN&3dfianpoeepKuocmamo^Hbix3Hanuu6aKanaepoenoHanpaenenufiM552900,551800Pa3HOBH4HOCTHBHeUIHHXBO3fleKCTBWHHa3JieMCHTbIKOHCTpyKIjnnhhxnapaMeTpbi?OnpejiejiHTbMaKCHMajibHoeHanpH^eHHehyBejinueHne4jihhei

cTep^HspaBHOMepHoBpamaiomerocscrpy3OMPnpnBospacTaHHH

TeMnepaTypticpe4bi.BecCTep次h兄HeyHHTbiBaTb.P=500H,d=20MM,L=0,5m,n=300o6/MUH,At=20℃,E=2,1-10conpoTUBJieHneMaTepsanoB KoHmpojibHoe3ada“ueNo4dnanpoeepKuocmamoyHbix3Hanuu6aKanaepoenoHanpaenenu^M552900,551800)KeCTKOCTbMaTepwaJia,CTep>KHH,KOHCTpyKUHH.YcJIOBHe旅eCTKOCTH.OnpejiejinTbpa〃najibHyiococTaBjunomyiochjibiconpoTUBJieHneMaTepsanoB KoHmpojibHoe3ada“ueNo4dnanpoeepKuocmamoyHbix3Hanuu6aKanaepoenoHanpaenenu^M552900,551800)KeCTKOCTbMaTepwaJia,CTep>KHH,KOHCTpyKUHH.YcJIOBHe旅eCTKOCTH.OnpejiejinTbpa〃najibHyiococTaBjunomyiochjibipe3aHnanpnaonycKeHa(1)OpMy(OTKJIOHeHHeOTUHJIHHnpHHHOCTu)8.d=40MM,L=0,5m,戶0,01mm,E-2105Mna.KoHmpofibnoe3adanueN95dfianpoeepKuocmamo^Hbix3Hanuu6aKanaepoenoHanpaenenufiM552900,551800IljiacTWHHbienxpynKweKOHCTpyKijnoHHbieMaTepnajibi,XapaKTepHCTHKHHXCBOHCTB?Onpe/jejiHTbqonycKaeMyioHarpy3Ky1aji兄CTep求h兄H3ctojih(KO34)4)nuHeHTsanacan=2)hH3qyryHa(n=5).b=30MM,npedenmeKynecmu:OT=240Mria,npedennpo^Hocmu:crep=240Mria,(yec-750Mna.conpoTSB/ieHseMaTepsanoBKoHmpofibHoe3adaHi/eNo6driftnpoeepKuocmamo^Hbix3Hanuu6aKanaepoenoHanpae/ienufiM552900,551800Coaep>KaHHenpoeKTHorohnoBepo^HoropacneTOBHanpoHHOCTbnpnpacTs^ceHHK-c>KaTnH,cflBHre(cpese),KpyneHHH,H3「n6e?KaKoeqaBJieHHeqmohchonojiyHMTbbuhjihh即enpnnoMomnptmara(L=1m)?h=40MM,b=15MM,d=15MM,D=8cm,[a]=160Mna,㈤=8OMF7a.

KoHnwonbHoe3adaHueNo7OnanpoeepKUocmamoyHbix3HanuuOaKanaepoenoHanpaeneHUfiM552900,551800MoHTaxcHbiehTeMnepaTypHtieHanps^ceHHs.Onpe4ejiHTbHanpx浜eHHJibcTep次hjixnpnn3MeHeHHnTeMnepaTypti.o d=20MM,Li=100mm.At=30C'WWWL2=50mm,At=30C'WWWac-1,251/℃,aM=1,651/℃,Ec=2-105Mna,EM=1-105IVina.n=300o6/MUH.conpoTSBJieHHeMaTepsanoB

n=300o6/MUH.Koumpo/ibnoe3adanueN&9OnanpoeepKUocmamoyHbix3HanuuOaKanaepoenoHanpaeneHUfiM552900,551800riOHMTHM"4e（j）OpMaUHH,nepeMemeHHM"HHXKOJIHHeCTBCHHbieMepti.OnpeflejiHTb〃e（j）opMaunnCTantHbixcTep^cHeiihBepTKKajibHoenepeMemeHMey3JiaA.conpoTHBJieHseMaTepsanoBKownpanbuoe3ada“ueNo1OOnanpoeepKUocmamoyHbix3HanuuSaKanaepoenoHanpaeneHUfiM552900,551800rioHSTMe"HanpsHceHHoecocTOMHne",bh^mHanp兄次Chhmxcoctosihhh,rjiaBHbieHanp兄次eHH兄.Onpe^ejiMTbbunHanp兄次?HHorococtomhhsbtohkcAhrjiaBHbieHanpsi次eHn兄.P=50k「,d=20MM,L=20cm.

KoHmpojibHoe3adanueN911dfianpoeepKuocmamo^Hbix3Hanuu6aKanaepoenoHanpaenenufiM552900,551800IIoHaTne""e（j）opMHpoBaHHoecocto兄Hue”,erocb兄3bc"Hanpa^eHHbiMcocto51HHem”,rjiaBHtiefle4）opMauwH.Bna3^ccctkomHe4e（j）opMHpyeMOHnjiKTbi6e33a3opaBCTaBjieHCTajibHOHKy6nKcoCTopoHaMMa=10MM.OnpeaejiHTbrjiaBHbieHanp?i>KeHH兄kH3MeHeHMepa3MepoBKy6nKanoflHarpy3KonP.P=10kH,/z=0,3,E=2,1-10d/ianpoeepKuocmamo^Hbix3HanuuSaKanaepoenoHanpaenenufiM552900,5518001.d/ianpoeepKuocmamo^Hbix3HanuuSaKanaepoenoHanpaenenufiM552900,5518001.FIoHMTweycTOHHWBocTHc^caibixCTep^cHeii.PacneTbiHayCTOHHKBOCTbFipHpa3JIMMHOHra6KoeTH.2.Onpe4ejiHTt1aonycKaeMyioHarpy3Ky加兄kohctpykuhhH3ycjiOBHsyCTOH^HBOCTMCTOHKH.Bo3Mo次HOJIHpeilieHHe3aaaHHCnOMOEUbK）（j）opMyjibi3iijiepa?D-Jamin-（"L產(chǎn)d=40MM,L=1m,E=2105Mna,[<r]=160Mna,^=210Mria.conpoTMBJieHweMaTepsanoBKownQonbHoe3ada“ueNo12

KoumpojibHoe3adanueN913On只npoeepKuocmamo^Hbix3Hanuu6aKanaepoenoHanpaenenu^M552900,551800C4)opMyjiHpoBaTbycjiOBnenpoHHOCTMnpnnonepeHHOMkocomh3nd6ehpacTJi次eHHM.IlpHCBepjieHHH“eTaiiHHactojihiunnH〃ejibCBepjiHjitHoroCTaHKanepejnaeTcsycwjineP.Onpe4ejiHTbawaweTpKpyrjionCBepjiHJibHOHkojiohhm.P=16kH,a=400MM,[o]p=35Mna,[<r]c=70IVina.conpoTUBJieHneMaTepna/iOB KoumpojibHoe3ada“ueNo14d/ianpoeepKuocmamoyHbix3Hanuu6aKanaepoenoHanpae/ienufiM552900,551800OnTHMajibHbie4)opMbinonepeMHbixceneHMiiCTep>KHenH3xpynKHXhnjiacTHHHbixMaTepnanoBnpnKpyqeHHHhh3rH6e.OnpeaejiHTbpaiinoHajibHyioopHeHTauHK)ceqeHwxnoaHarpy3KyhMaKCHMajibHbieHanp兄次eHH兄bCTep次HeK3xpynKoroMaTepnana.P=2kH,a=10MM,L=0,5m.

K(wmpo77bHoe3adanueN915OnanpoeepKUocmamoyHbix3HanuuOaKanaepoenoHanpaeneHUfiM552900,551800reoMeTpnHecKHexapaKTepncTHKHnonepeuHbixceueHH訪CTep求He訪bpacneTaxHanpoHHOCTbh>KecTKOCTbnpnpacT5i>KeHnH,okhthu,CRBHre,KpyqeHMH,h3rH6e.OnpeaejinTbMaKCHMajibHbieHanpji次eHHJibcTep次Heno〃aeHCTBHeMco6cTBeHHoroBeca.L—2m,b=100MM,ydejibHbiueec:v=78kH/M3.conpoTHBJienneMaTepna/ioBKoHmuo/ibHoe3ada“ueNo16npoeepKUocmamo^Hbix3HanuuSaKanaepoenoHanpaenenu^M552900,551800ConpoTWBJienneCTep^cHeiiBHeueHTpeHHOMypacT只)kchhiohCH<aTHK),nojio^eHHeHeidTpajibHOHjihhmh.Onpe4ejiKTbliojio浜eHneHeiiTpajibHOHjihhhhbceueHHHhMaKCMMajibHbieHanpji>KeHH兄.P=400H,

b=30MM,

h=40MM.

KoHnwojibHoe3adaH“eNe17d/ianpoeepKuocmamo^Hbix3Hanuu6aKanaepoenoHanpaenenufiM552900,551800OnpeaejieHneKocoron3ra6a.OopMyjiHpoBKaycjioBHMnpoHHOcra.OnpeaejiHTb15HaMeTpCTep次耽Pi=400H,P2=600H,L—0,5m,[a]=160Mna.conpoTHBjieHHeMaTepsanoB KoHmpojibHoe3adaxueNM8driftnpoeepKuocmamoyHbix3HanuuOaKanaepoenoHanpaenenu^M552900,551800SKBHBajieHTHoeHanpa>KeHHehocHOBHbieKpHTepHH,ncnojib3yeMbienpneroonpeqejieHHH.g//////////D=20cm,t=1CM,q=100amM.OnpeaejiHTb3KBKBajieHTHbieHanp^eHHJibuwjiHHapHMecKOHnacTWcocy4aH3crajiMhMyryna(k=0,2)npnBHemHeMhBHyrpeHHeM/jaBJieHHK.g//////////D=20cm,t=1CM,q=100amM.KoHmpojibHoe3adanueN919OnanpoeepKUocmamoyHbix3HanuuOaKanaepoenoHanpaeneHUfiM552900,551800Co〃ep區(qū)aHnepacneTOBHanpoHHOCTbn旅CcTKOCTbnpnpaBHOMepHOMBpameHHn3JieMeHTOBkohctpykuhh.OnpejiejiHTb4onycKaeMoehkcjiooGopoTOB1gji兄CTep次hhc「py30M.Co6cTBeHHbIHBecCTep次H兄HeyHHTblBaTb.Q=50H,d=40MM,L=0,5m,[a]=160Mna.conpoTHBJieHHeMaTepsanoBKoHnwonbHoe3ada“ueNo2O

KoHmoojibHoe3adanueNs21O/7HnpoeepKUocmamo^HbixshshuuoaKanaepoenoHanpaenenu^M552900,551800floHiiTHe"npe^ejibHoecocto兄Hue“MaTepnana,3JieMeHTOBKOHCTpyKUHHHKOHCTpyKUHHBUeJIOM.7 OnpeaejiHTbHarpy3Ky,npwKOTopoiiCMCTeMaH3flByxCTepxcHeii(cTajibHorohMeaHoro)nepecTaHeTconpoTHBJiaTbcsiyBejinneHHioHarpy3KHnpn“etjiopMHpoBaHHHnoynpomeHHbiM^HarpaMMaM.7 Ac=8cmOnanpoeepKUocmamouHbix3HanuuoaKanaepoenoHanpaeneHUfiM552900,551800OcTaTOHHtieHanp兄次eHHHb3JieMeHTaxKOHCTpyKunii.CocTaBHoiduhjihhapH3CTajiHhOnanpoeepKUocmamouHbix3HanuuoaKanaepoenoHanpaeneHUfiM552900,551800OcTaTOHHtieHanp兄次eHHHb3JieMeHTaxKOHCTpyKunii.CocTaBHoiduhjihhapH3CTajiHhMe〃nnjiacTHMecKHae4)opMnpoBaHMe次ay4ByxnjiHT.Onpe^ejiMTbocTaTOHHtieHanps^ceHnsnocnepa3rpy3KH.^aHbiynpomeHHbiemarpaMMbi MaTepnajioB.Ac=Am=8cm2,Ec=2-105MnaEM=1105MnaconpoTkiBJieHkieMaTeonanoBKoHmoojibHoe3adanueNs22

Kownpo/7bHoe3adanueN923OnanpoeepKUocmamoyHbix3HanuuOaKanaepoenoHanpaeneHUfiM552900,551800Ko3（j）（j）MUHeHT3anacanpnconporaBjieHHHaneMeHTOBKOHCTpyKuniinepeMeHHbiMHanpa次eHH兄m.Onpe4ejiHTbKO3（j）（j）HuneHT3anaca4jmCTep次hh6e3KOHueHTpaTopoB,noBepxHOCTbnojiHpoBaHHas,KO34）4）HiineHTMacmTaSHoro（j）aKTopapaseH1,0.P=150H,d=8MM,L=350mm,L=150mm,P=150H,d=8MM,L=350mm,L=150mm,a.i=160Mria.conpoTHBJieHseMaTepsanoB

KoHmpojibHoe3adanueN924dfianpoeepKuocmamo^Hbix3Hanuu6aKanaepoenoHanpaenenufiM552900,5518001.PacneTbiHanpoHHOCTbh^ccctkoctbnpnKOJie6aHWHxHarpy3KH.7^BHraTejibbccomQycTaHOBJieHHa口ByxCTajibHbixHanpaBJisiomHx4HaMexpoMdhcoBepmaeTn(o6/mhh).OnpeflejiMTb,npnkhkoh口JiHHeHanpaBJi兄kjwhxbosmo)kchQ=50H,d=20MM,n=3000o6/MUH.pesoHaHC.KoHmponbHoe3adaH〃eN&14d/7anpoeepKuocmamo^Hbix3HanuuSaKanaepoenoHanpaenenu^M552900,5518001.OnTHMajibHbie（J）opMbinonepeHHbixceneHnnCTep^cHeiiH3xpynKnxhnjiacTWMHbixMaTepnajioBnpnKpyqeHHHwh3rH6e.IlpHKpyqeHHHhh3rH6eCTep?cHeiipacnpe/xeneHneHanp兄次eHniibnonepeHHbixceueHH兄xeroHepaBHOMepHO,ohhhmciotMaKCKMajibHbie3HaueHnxbHan6oneey4ajieHHbixtohkhxotochCTep次h兄npnKpyqeHHHhotHeiiTpajibHonjihhhhnpnh3ra6e.BcootbctctbhhcpacnpejiejieHMeMHanp凡長eHHiiMarepnajibcchchkhcjieayeTy6npaTt>,r〃eHanpsi求chhxMajibi,npa3MemaTberob3OHax,r^eohhBejiKKn.OnTKMajibHoii（|）opMonKpyrjioroceqeHHHnpnKpyqeHHHhh3ra6e6yneTKOJimeBoeceqeHne.IlpnH3rn6eceueHHeno^ejienoHenTpajibHoiijiHHHeiiHa〃Be30Hbi-paCTJDKeHHJIHC次aTH51.njiaCTHMHbieMaTepwaJIblCOnpOTHBJI兄IOTCHOflMHaKOBOpaCTS?（eHMK）HC次aTHK）HUCJieC006pa3H03TH30HbiaejiaTbo4HHaKOBbiMH.XpynKneMaTepnajibiJiyHiueconpoTHBJiaioTcac^araio,hHeiiTpajibHyK）jimhhiocne^yeTCMemaTbotcepeflKHbiceHeHH兄，yBejiHHHBas30HypacTJi次eHHx.3thcoo6pa次eHH用hmciotpeajiH3auHK）bnpoKaTHbixnpo（j）HJisx（flByraBp,niBeiuiepn即.）H3njiacTHHHtixMaTepnajiOBhjihteixT-o6pa3HbixH3xpynKHX.3aNaua:OnpeaejiHTbpamiOHajibHyioopneHTaunioceueHH兄nonHarpy3KyhMaKCHManbHbicHanp兄）KeHHJibcrep5KHeH3xpynKoroMaTepwajia.P=2kH,L=0,5m.P=2kH,L=0,5m.ZbZOTHOCHTejibHOBCnOMOraTCJIbHOH+(l,07)2-4t/2]+PACTMcPL T-1,93a=ZbZOTHOCHTejibHOBCnOMOraTCJIbHOH+(l,07)2-4t/2]+PACTMcPL T-1,93a=0,1216,3oPL0J2-21030,5=120MI7a,^OKATy..66Ap.I——.3,07^=0,1916,3。PL0,19.21030,5(110-2)3=-190Mna.PemeHne:BnaHarpy次eHH兄-n3ra6,KOTopbinmohcctSeitbhjiockhmhjikkoceimb3aBHCHMOCTHotopHCHTauHHceMeHHMno〃Harpy3Ky.PauHOHajibHasopneHTauHsceueHH兄-nojiKoiiBBepx,Harpy3Ka-bnnocKOCTnCHMMeTpMH,rjiaBHbieocm-ocbCHMMeTpHMhnepneH15HKyjiHpHaxeftHeiiTpajibHasjihhhh,npoxoflMiuasuepe3ueHTpt兄次ecraceneHHa.IlpH3ToMH3ra66y〃eThjiockhm.FIojio次eHHeHeiiTpajibHOHjihhhhochZB：3,07a.?2〃+3。-q?4,5。3,07a.4az+3a2MomchtHHepuHHceqeHHSOTHOCHTejibHOrjiaBHoftueHTpajibHoiiochZ:3 3+(1,43。)2?3/]=16,3/.MaKCHMajibHbieHanpajKeHna6y〃yrbonopHOMceueHHHCTep次hh,r4eMc=m-L3A口AHkl只HaMextAMCUMnnMHapHbiM3K3aMehnoxcHHTejibHaM3anncKak3a〃aHH51MHaMe^HCUMnjiHHapHbiii3K3aMeHnoHanpaBJieHnio552900,

551800KajK4oe3alqaHneco〃ep求hto〃hhhjihnecKOJitKonpocTbixMexaHH3MOB.CryneHTyb3anaHnnnpe^JiaraeTCJiTpHBonpoca（3a〃aqH）,ajisnpaBKjibHorooTBeraHaKOToptieciyqeHT〃oji次eHBjiajieTb（3HaTbhyMeTtnpHMCHHTb）CJieflyiOIUHMM3HaHH51MH:Bo6jiacTHMaTeMaTHKH：npoH3BOflHaa,onpeaejieHHbiHHHTerpaji,KHTerpannonjioma4n,o6i>eMy;o6biKHOBeHHtie^H4）4）epeHUHajibHbieypaBHeHHsr,JiHHeiiHbie,ciiocto兄hhmmhKO3（|）（j）HUHeHTaMH,oflHopoaHbienHeo〃Hopo〃Hbie.Bo6jiacTn（j）H3HKn:pa6oTahmoiuhoctbchjiei,KHHemuecKa兄mnoTeHunajibHaa3HeprHM,3aKOHbicoxpaHeHH兄, KOJieSaHHJijiHHeiiHOHcncTeMbic1cTeneHbK）cbo60nbi.Bo6jiacTHTeopeTHqecKOHMexaHHKM：aHajiHTHMecKaaCTaTHKa;KHHeMaTHKatohkhnnjiocKoeflBH?（eHneTejia;ochobheicTeopeMtiaHHaMHKH；npnHUHnnajiaM6epa;KOJieSaHnajiHHeiiHbixchctcm;TeopHSMOMeHTOBMHepUKH.JlHTepaTypa:prC.M.KpaTKnfiKypcTeopeTHHecKoilMexaHHKH：y“e6Hhk1aBTy3OB.-11-encnp.-M.:Bbicm.uiK.,1995.-C.416.3ada“ueNddfia6aKanaepoenoHanpaeneHUfiM552900,551800OceBOiiMOMeHTHHepUHHTOHKOiioflHopoflHoiinjiacTHHKKBbipa次aeTCHKHTerpajioMnonjioma4HnjiacTHHKHIz=Jy2dm,rqedm=2m/b2(b-y)dy,m-MaccanjiacTHHKH.Onpe^ejiKTbmomchtHHepuHHnjiacTHHKHOTHOCHTeJIbHOOCHOZ.EapaoaH1jiebeflKHBpamaeTCHcyrjiOBoiiCKopocTbK)co=10pa〃/c.OnpeaejiHTbcKopocTbnoateMaTpySbi2,ecjiHr=20cM,R=30cm.OnpeaejiHTbnepno〃Majibixcbo601gHbixK0Jie6aHHno〃Hopo〃Horo1aHeKa,ecjineroMaccam=2Kr,akob。巾HimeHTbiXCeCTKOCTHnpy^CHHCi=900H/m,C2=700H/m.

3adaw/eN92d/7H6aKanaepoenoHanpaeneHUfiM552900,551800“aHo:Pa3Mepbir,i;i>r;Macctimi,m2,m3;1-04H0p0flHbIH4HCK,2-O4HOpO4HbIHCTepXCeHb,cnjiaF=const;napachjicmomchtomM=const.TpeHHeHeynHTbiBaeTcs."hck1BpamaeTcsicnocTOSHHoftyrjioBoiiCKopocTbiocoino3aKOHycp=(O]tHan?3aKOH口bh次eHH兄tomkhCCTep浜h兄2[AC]=[BC],aTaKxceeeCKopocTbbnojioxceHHnMexaHH3Ma,onpe^en兄eMbiMyrjioM(p=90°.〃hck1BpamaeTcacliocto兄hhoJJyrjioBoiiCKopocTbK)①上OnpeaejiHTbmomchtHMnyjibca(KHHeMaTHMecKHHmomcht)MexaHH3MaOTHOCHTejitHOocKOzbnojio^eHHHMexaHH3Ma,onpenen兄eMbiMyrjioMcp=90°.MexaHH3MnpnBO〃HTC8b4BH>KeHneH3coctojihhmnoKonnpn(p=0napoiichjicmomchtomM(F=O).OnpejiejiHTbCKopocTbnojisyna3nocjienoBopoTa14HCKanayroji3/2-itpaanaH.Pa6oTychjit兄次ecraHeyutiTbiBaTb.3adaHueN93d/7H6aKanaepoenoHanpaeneHUfiM552900,551800OnpeACJiKTbnepeMemeHHeSTOJiKaTejia1KyjiaMKOBoroMexaHH3Mab4)yHKUHHyrjianoBopoTaKyjiauKa(S=S((p))HB4)yHKUHHBpeMeHH(S=S(t)),ecjiHKyjianoKBpamaeTc凡cHaCTOTOHn=360o6/MHH.HaKyjianoKqeiicTByeTnapachjicmomchtomM.OnpeaejiHTb,KaxyioCHJiyFHaaonpHjioHCHTbkTOJiKarejiK)〃口只paBHOBecHHCHCTeMbi.TpenneHeyHHTbiBaTt.PeuieHHeBbinojiHHTb卬1月npoM3BonbHoroyrjiatp.BbhshhcnpyHCHHbi3HeynnTbiBaTb.CnnTaH,htoTOJiKaTejibHMeeTMaccymnripn次HMaeTCHkKynauKynpy)KMHOH,Bbi6paTb?cctkoctbCnpy次hhejH3ycjioBna,mtonpnBpameHHHKyjiauKacnacTOTonki=360o6/mhhbMexaHH3MeHeHacrynaeTpe3OHaHc.XX3adaHueN94dfia6aKanaepoenoHanpaeneHUfiM552900,551800^aHO:Pa3MepbiR;AB=l;Maccbimi,m2;Il-MOMeHTHHepUHHceKTopa1OTHOCHTeJIbHOOCHO1；2-O〃HOpO15Hbi訪CTepH<eHb.MexaHH3MCHMMerpHMeHOTHOCHTeJIbHOOCHOX.CeKTop1BpamaeTcscnocTOMHHoiiyrjioBoiiCKopocTbio(D)no3aKOHy(p=a)]t.Han?3axoH〃bh次eHH兄tohkkAMexaHH3MaKaK(|)yHKUHK)yrjia<phCKopocTbtomkmAKaK4)yHKUHK)BpeMeHHt.(cHJiaFhmomchtMbpemeHHnHeyqacTByK)T).HaceKTop11geiicTByeTnapachjicmomchtomM.Onpe4ejiHTbBejinMHHychjieiF,ypaBHOBHOBeinHBaK)meHMexaHH3Mbnon。次eHHH,onpeaejiaeMOMyrjioM(p=90°.MexaHH3MnpHBonwrc兄bnBH>KeHneH3coctohhmhnoKoanpn(p=0napoiichjicmomchtomM.Onpe^ejiHTbyrjiOByioCKopocTbceKTopa1bMOMeHT,Kor^ayroji(p=60°.H3BecTHbimomchtHHepuHHLceicropa1,BejiHMHHaMOMeHTaM;1=R;F=0;Maccam2.

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3ad3Hi/eN911dfia6aKanaepoenoHanpaeneHUfiM552900,551800KpwBoinnn1BpamaeTcano3aKOHy(p=CDt. KpnBoiunnaOA=r.OnpeaejiHTb3aKOHnBn>KeHH兄3BeHa3S=S(t).Onpe^ejiHTbcKopocTbV3BeHa3KaK4)Yhkuhk)yrjia(pnoBopoTaKpMBomnna;(p=cot,co=10pa4/c.JJjiHHaKpHBomnnar=0,2M.IlocTpoHTbrpa(j)HK4)yHKUHHv((p)HaMHTepBajie0<(p<90°.KpHBomnn1BpamaeTcacnocTosrHHOHyrjioBOHCKopocTbio(o=1Opa^/cno3aK0Hy(p=(ot.OnpeflejiHTbCHJiyHHepuHH,4encTByiomyK)Ha3bcho3MexaHH3MabnojioHceHHH,onpeaejisteMOMyrjioM(p=90°,ecjiHMacca3BeHa2m2=0,4Kr.

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