《工程力学》习题答案豆照良等编

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☟Ạὃ⚪1-1☢Ḅ஺(1)2(2)2(1)F⊤;1=2⊤F1f2Ḅᜧ!ᔣ#஺(2)F⊤Ḅᜧ;ᐭ=6⊤Fi&Ḅᜧ஺1-2'ᔲᔠ*+,ᑖᜧ./012*+஺3᝞ᜧஹ!ᔣ678ᵨᙠ#*;<=ḄḄᔠ.>஺1-3?@⊝Bᳮ8ᵨ68ᵨ+DᨵFG#1?@⊝BᳮHIᢣ:8ᵨᙠLM=Ḅ,OLMPᢝ@⊝Ḅᐙ⌕ᩩUHI:VḄᜧ!ᔣ678ᵨᙠ#*;<=஺8ᵨ68ᵨ+DHIᢣ:WFᱥMYḄ8ᵨZHIᜧஹ!ᔣ6ஹ[#*8ᵨ<ᑖ\8ᵨᙠᱥM=஺]^_`?@⊝BᳮabḄHI2#Ḅ8ᵨᙠ#*ᱥM=Ḅcd;8ᵨ68ᵨ+DabḄHI2#ᱥMeYf8ᵨḄcd஺ghiᨵ*#jᓽ=blcdḄ*mᙳopᜧஹ!ᔣ6஺1-4qr6Ḅ!ᔣstḄ!ᔣᨵuᐵw1qr6Ḅ!ᔣZHIqr▲ᑴᱥMz{Ḅ!ᔣ6஺m|ᨵ}qr~,᝞ᐹᨵᐝ⊤☢Ḅqrᐸqr6ᯠ8ᵨᙠjᜐ8ᵨ<[Ḽ☢Ḅ

11-5/0§?᪀U1ᑖ᪆?᪀U¢©᪀UḄª«ᨵuᐵw1ᡠ¬?᪀UHIᢣᨵj¢ᜐ|@⊝«᝱Ḅ᪀U,᝞®ᡠ஺?᪀U¢©?ᜧஹ!ᔣ67¯[8ᵨjḄ°

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4(c)

52
☢ὃ⚪2-1ÅÆIஹ2ஹ3ஹ4Ḅ8ᵨ<ÊË|*jᐸÌͪ᝞®2-15ᡠ,ÏÐVlÌͪḄᨵF2#1®2-15(a)ÌͪÒÓÔᔠᔠ.>஺®2-15(b)ᡠḄÌͪ,ᵫஹ2ஹ3Ḅᔠ4Ö×Ìͪ,|ஹ2ஹ3ஹF4Ḅᔠ.2ᵨ஺2-2ᵨ᪆Ú@☢ÊËwḄᔠ©Û¤2#Ḅ;Üᙶ᪗ᡠÚßḄᔠHIᔲ#1ᵨ᪆Ú@☢ÊËwḄᔠ©⌱¤2#Ḅ;Üᙶ᪗,áâãᔜᙠᙶ᪗=Ḅᢗâ2áâãᨬæÁçèéᓽᡠÚßḄᔠHI#Ḅ஺2-3ḄᑖᢗâVᭆëeYᨵ/0ì\ὶw1Ïèᔠ®2-16e஺(a)(b)®2-16:

6ᑖïᯠHI*HI;ᙠð=ḄᢗâHI᪗஺᝞®2-16(a)ᡠF[xஹyḄᑖᑖ\.F,=^Fi,F,=Fjᡝᙠxஹy=Ḅᢗâᑖ\.F=—F,F=-FXv2yr2®2-16(b),[xஹyḄᑖᑖ\.F=Fi,F=Fjxyᙠxஹy=Ḅᢗâᑖ\.2y2ᙠ±Ë=ḄᑖḄᜧᑖ\|ᙠmò=Ḅᢗâ஺2-4,óᏔóḄG#஺óHIOᱥMõö÷tᦔòḄùᐸᜧóúzᨵᐵ;ᏔóHIᏔOᱥMõö÷tᦔòḄùᐸᜧóúzuᐵ஺óᏔó¯HIûᦪᐸýþ“”⊤ᔣ(ᡈᏔ)ᱥ⌮┐ᔣ;ᏔḄᓫ!"NmᡈKNm஺$%⚪⚪2-1᝞(2-17(a)ᡠ,+,-./Ḅ,0/,2ᙠᐸ-⚔67-,8ᵨᜧ;<+Ḅ-=>,?@ABᔣB6CᓄḄEF஺

7y2-17HI(1)KLM.ᙶ᪗B18)(2)ᑖS@TAஹBஹCᔜ6ᜐZᙠxஹy]^ḄᑖFr^=-^1Fr^rAy=—YF"FBX=FFBஹ.=0(3)@TᔜᑖᙠB6ᜐḄᔠᔠᏔZa=4,+ஹ+c=ef>+>eI>=0£.=%+/+%=-++k=0lAmBḄCᓄEFe=ᏔM=op/2,⌮┐qᔣ஺⚪2-2᝞(2-18(a)ᡠᙠstḄB68ᵨᨵvwEstyzᶍ|}஺?@~Aஹ஺Ḅ஺

8BBCC(2-18HI(1)stẆ஺(2)ᑖ᪆stZ஺stZᑮ>c>ஹ>3Ḅ8ᵨᜐw⊝᝱஺ᵫᏔBw⊝ᩩEu>᪀ᡂe=Ꮤ,ᵫAḄqᔣBuvwᔣ;>;.᪀ᡂe=Ꮤ/%=F°,Ꮇqᔣ᝞(2-18(b)ᡠ.^2=Ꮤ¡ᏔBw⊝ᩩ஺(3)᪷£ᏔBw⊝ᩩᑡTq¥,¦@H§¨=0,-aF+2aF=0DH©F^F=F/2.@©EFª«ḄqᔣᎷqᔣ<¬஺AD⚪2-3᝞(2-19(a)ᡠvw᫡^8ᵨᨵ®=ᏔM=60kNm,M2=40kNm,¯A8=3ஹ5m,?@4ஹ8®ᜐ~Ḅ஺

9(b)(2-19HI(1)᫡ABẆ஺(2)ᑖ᪆᫡ABZ஺᫡ABZᑮ®=ᏔMA,c®=ᵨfBḄ8ᵨᜐw⊝᝱஺ᵫᏔBw⊝ᩩ~AB᫡ABḄ>A>B᪀ᡂe=Ꮤ°ᔠᏔw⊝±l>8ḄqᚖM³~~´☢,ᢣᔣᎷ᝞(2-15(b)ᡠ,·FḄqᔣ஺ᓽᨵA¹=᜜,¡ᏔBw⊝ᩩ஺(3)᪷£ᏔBw⊝ᩩᑡTq¥,¦@H§¨ZM=O,-M+Ae-=஺»⚪¼ᩩ½ᐭ¿,H©a=À=_10kN@©EFª«᜜ḄqᔣᎷqᔣ<஺⚪2-4᝞(2-20(a)ᡠ¯M=2F/,ᐸÁÂÃ᝞(?@AஹB®ᜐ~Ḅ஺(1)(~tACBẆ஺(2)ᑖ᪆~tZ஺~tZᑮ>ஹᏔM,c3="ஹFAyFBḄ8ᵨᜐw⊝᝱஺ᵫᏔBw⊝ᩩI>᪀ᡂe=ᏔḄqᔣvwᔣÅ;ᔆᵪÈ᪀ᡂÉe=ᏔM2,ᎷFÊFḄqᔣ᝞BË(2-20(b)ᡠ஺^ᏔB¡ᏔBw⊝ᩩ஺(3)᪷£ᏔBw⊝ᩩᑡTq¥,¦@H§¨

101FAx=F1piZ"=o_"+E3=oH©3FA=FB=3FEFª«/•>8ḄÍ▭qᔣᎷqᔣ<¬᝞(2-20(b)ᡠ•3
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11HIáw☢ÝÞBḄCᓄEFe=ᔠàïðeñíBCᓄe=ᔠᏔ;òᯠ஺lᔠᔠᏔ!"w☢ÝÞBCᓄḄᨬCEF஺3-4ÑÒÓ☟|ç⚪Ö᝞÷ᑨùç⚪!"☟ú!"☟|Ö᝞(3-8ᡠ(a)ஹ(b)ஹ(c)-(¼ýþ!"☟ç⚪Öýþ!"☟|ç⚪Ö(3-8HIá᦮ᱥ⊝ᱥᑁᔜᜐ⊝᝱஺☢ᵨḄᑡ!3#$Ḅ⊝%&஺'(ᵫ஻+ᡂḄᱥᩭ.#$⊝%&Ḅᦪ013஻஺᝞3ᱥ4567Ḅ8ᦪ9ᡈ;#$⊝%&Ḅᦪ0ᑣᡠᨵḄ567ᵫ⊝%&?!@᪵ḄB⚪D1☟FB⚪஺᝞3ᱥ4567Ḅ8ᦪᜧ#$⊝%&Ḅᦪ0ᑣ567HIᐰKᵫ⊝%&?!LMI?!ᐸ4ḄOKᑖ567@᪵ḄB⚪D1☟HFB⚪஺Q3-8(a)4Ḅᦪ011,ᑡ!3#$Ḅ⊝%&LAஹB[ᜐᐳᨵ4^_`,abcᐰ?de☟HFB⚪஺Q3-8(b)4Ḅᦪ012,ᑡ!6#$Ḅ⊝%&L4ஹBi4jkl[ᜐᐳᨵ6^_`,cᐰ?de☟FB⚪஺Q3-8(a)4Ḅᦪ012,ᑡ!6#$Ḅ⊝%&LAஹB[ᜐᐳᨵ7^_`,abcᐰ?de☟HFB⚪஺no⚪⚪3-1᝞Q3-9ᡠq,rs1rḄᙊvw014yz{1rḄ|%}Ḅ~⚔[wᑖᵨḼ2ஹ3ஹ4஺6`,0[Ḅ1Mo=2rF.B஺[ḄM஺1jᨵᐵ1(@ᐵ

12Q3-9dḄ1/=6++ᨴ+8=஺11ᓄ1OᔠᏔ஺@¢£¤Ḅᓄ4yḄ¥¦aᐵM.=M=2rFoo⚪3-2᝞Q3-10(a)ᡠq6§ஹ2ஹ3ᑖᵨᙠ[CஹOஹB[w,043஺O|%},z{1஻(ᓫ¥111m)ᑁ=2;241^/3=101
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13Q3-10(1)¯$°±ᙶ᪗஺´᝞Q3-10(b)ᡠq(2)µ⚪¶ᔣ஺[ᓄ3·&=¹Oᱏ=4kN/;=»(=(O6=4kN5FR=J(E%)2+(FR,)2=40kN,tan2=*=1ne=45஺RxM=Fa-Fa+Fa=4akNmmotivivᵫḄஹH9ᓽᓄḄ®31OOᏔ᪷¾Ḅ¿FᳮḄ⌮Fᳮ6ᔠᡂ1Oᔠ஺ᔠFK79F'R,ᵨÂᙠ஺[ä%Ä஺'[Ḅ°ÂÆᓄ4yᑮᔠᵨÂḄÈÉ1(1----------CIFR2⚪3-3᝞Q3-11(a)ᡠq☢4Fi=40V2N,&=80N,F3=40N,ª=110N,M=2000Nmm,ᔜᵨÂ¥¦᝞Qᡠq(Q4ᓫ¥1mm)஺?ᔣ஺[ᓄḄ®3஺

14(a)(b)Q3-11d(1)ᔣ஺[ᓄḄ᜜,=»»=Ëὡ—6OE=T50No■=J(-,)2+(4)2=150NFR%ᔣÕx×Ø%ᔣ஺(2)ᔣ0[ᓄḄM=30Ù+50Ù—30»Oᵨ=—900Nmm,Û┐%ᔣoᔣ஺[ᓄḄ®3᝞Q3-11(b)ᡠq஺⚪3-4aÝÞ᫡Ḅàáâ₹᝞Q3-12(a)ᡠq,6RᏔMåæ1ç7Ḅᙳᒴâ₹஺?àêA8ᜐḄ^_`஺MëB(b)Q3-12d(1)᫡1Ẇíî,¢£᝞Q3-12(b)ᡠq(2)¯$°±ᙶ᪗Eᑡ!☢Ḅ⊝%&,ï?d567Z=00,-F+F-F=0EAyBF)=0,-M+F2a-F3a=0B

15dñy=0F=-^-(aF+M)Ay2aF^—^aF+M)⚪3-5᝞Q3-13(a)ᡠqòÝóÝP=10kN,ôõ°×ABö÷òÝóḄøùwᢞOÝ1P=40kNḄÝᱥòÝóḄÝyCᑮö÷×ḄÈÉ11ஹ5m,ᐸ2᝛üý᝞Qᡠq஺þ?ᙠÿ
A
BᜐḄ஺(a)(b)3-13(1)Ẇ᝞3-13(b)ᡠ(2)!"ᙶ᪗%ᑡ'(☢*+%Ḅ(⊝-.,01234=஺6+=஺ZG=°%—4—g=°Z/8=0,_=fmF1.5m—A3.5m=09:

16;=3IkN,F=50kN,6=-31kNAV<=>?ᎷA-ᔣC▭-ᔣEᓽGH(ᔣI஺J4K᥅MNὃ⚪4-1QRST☟VW᥅MXᐸ-ᔣᜧ[ST᝞\]^ḄXᨵ`>᥅MḄ-ᔣabᱥdḄeW-ᔣE,fXghi>?஺jk⊤☢mnoEpqrḄᱥdstᨵEVWḄuvw,ᙠqr☢yz{EVWuvEḄ|,}~|☟᥅M|஺᥅MḄ-ᔣᱥdḄEeWᡈEeWuv-ᔣE,fSTᱥdḄeW-ᔣE஺ᡠk〈᪀ᙠ(a)ᡠyᧇ.ᱥᙽḄeW-ᔣ☟᥅MḄ-ᔣᙳᔣyὅ-ᔣE;ᙠ(b)ᡠḄᧇ.ᱥᙽḄeW-ᔣ〈ᔣ☟᥅M-ᔣ〈ᔣyὅ-ᔣE஺,☟᥅MḄ-ᔣ^EeWuv-ᔣE,f^eW-ᔣE஺(a)(b)4-2QRSTᨬᜧ☟VW᥅MX☟VW᥅MᨵQRὶ%Xᨬᜧ☟VW᥅MST☟VW᥅MḄk஺ᱥd¡¢{EVWw☟VW᥅MS£WVW᥅Mᡠ¤¥஺4-3᝞4-6ᡠ¦3P=100N,F=500N,᥅M%ᦪ=0ஹ3,1wᱥdᡠḄ᥅M஺

174-6ᵫ⚪+9✌ᐜ¬'ᜋ☢¯°±²³ᱥᙽḄᨬᜧ☟᥅M,^=/A=0-3X500N=150Nᵫ´P=100N

18(⊝-.93,F=Psinas¾☢¯°±²³ᱥdḄᨬᜧ☟᥅MFḄᜧ[max%ax=Nj\=Pcosa-f>Pcosa-tan஺=Psinasᵫ´¾☢¯°±²³ᱥdḄᨬᜧ☟᥅Mᜧ´ÒᢝᱥdfVᡠ◤⌕Ḅ᥅MᱥdfV஺ᳮ9×,ÈÉᱥdḄ4ᡈᙠᱥdyÊÉ4P^Ḅᱥdf¯ÍᑮVḄÏḄ஺4-5\ØÙ┝ÛXghi>?஺^ÜᐰqrÞßÞḄᜳ"᜜ᐸÍᑮᨬᜧ9f,᥅M"஺᝞ÇâᵨᙠᱥdyḄᐰäåWḄᔠḄâᵨÞᙠ᥅M"çsᑁ,ᑣéê}këRᜧᱥdìᯠîᢝ(⊝}~ÛÙ┝Û஺ᐸMf=arctaὶ஺ᙠÑ.Ù┝ÛᨵïðḄGᵨ஺i᝞ñᜳᐹஹó^ᡈ┝ôõöஹ÷øஹᓟú⚔üüÙ┝Û9ýþÿ
ᢝᙠ⊝᝱஺4-6᝞4-8ᡠPḄᱥ☢Fᵨᙠ᥅᜜,#$ᨴ25஺,᥅0=20஺,F=P஺&ᱥ'ᔲ)*+,-.,4-8/:1⌕*+ᱥFᙠ3ᔣḄᑖ6789ᙢ☢;<=ᱥḄᨬ

19ᜧ☟᥅F»inaxHI⚪KF=Fsin0=Fsin25°=0.4226FxU=V=(Xcos25஺+P)tan20°ᵫF=PF=F(cos250+l)tan20°=0.6939FmMcd£\<&ax,ij*+ᱥ஺kl⚪⚪4-1᝞4-9ᡠo$ᱥW=100N,r☢Ḅ☟᥅sᦪ=0ஹ3,+᥅sᦪ஻=0ஹ28஺x&ᑡz{|}ᱥ~ᑮḄ᥅ᑖ,পP=10N(2)P=30N(3)P=50N4-9/✌ᐜᱥ~ᑮḄᨬᜧ☟᥅X=£N=£W=O.31OON=3ON(1)P=10NFmax,ᱥ+,Ew=஻N=juW=0.28100N=28N⚪4-2ᑨ4-10KḄᱥ'ᔲ☟,ᱥᡠ~᥅Ḅᜧ

20r3ᔣ஺o$প(a)Kᱥ=1000N,P=200N/=0ஹ3,஻=0ஹ28;(2)(b)K,ᱥW=200N,¤P=500N/=0ஹ3¥=0ஹ28஺(b)4-10/(1)4-10(a)K4"=ᓽ=fW=0.31000N=300NsP=200NFmax,ᱥ+F<[=/N=஻X=0.28x500N=140N,+᥅3ᔣª«ᔣ஺⚪4-3᝞4-11(a)ᡠᱥᙽr〈¯°Ḅ☟᥅sᦪ±0ஹ5»x&〈¯Ḅᨬᜧ²6ᜧ,

21(a)(b)4-11/³ᱥẆµ¶·,~|}᝞4-11(b)ᡠᵫ☢¸¹sḄ⊝3º,»$F=Psin®sN=PcosOᵫ᝱Ḅ⊡ᐙ3º»$©=Nfs¾HPsin61fs==tan6=>8=arctanfs=arctan0.5=26.565°NPcosG⚪4-4᝞4-12(a)ᡠ,ᙊÀW=500N,«Ád=24cm,ᙊÀrVÂðḄ᥅sᦪA=0ஹ2஺xÄ+ᙊÀḄᨬᏔÆ஺(1)³ᙊÀẆµ¶·ὃ⇋᝱,~|}᝞4-12(b)ᡠ(2)ÉÊ«ᙶ᪗sᑡÍ☢ÎÏsḄ⊝3ºÐ᝱Ḅ⊡ᐙ3º

22EZ=o,6+Ò2-WCOS45°=0F=0,—Õ+%-Wsin45o=0Ev×஺(X)=0,ὡr+6r—M=0ὡÛ#NlÜ=ᐺ2»/Ý=y^4-Wcos45°=408Nf,=-j^yWcos45°=272N2M=(A+ä)r=/(%+%)T=1632Nm⚪4-5᝞4-13(a)ᡠ᪷çèḄᙳêᩚABr8C,ᙠîïBᵨᐝñòóôõ,AஹCîöᙠ÷ᐝñḄ☢øABCᡂúûzüý,sþᙠª«☢ᑁᜐ
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841ml2,1.1/«,r21(yஹ2223222(⚪12-4᝞12-11ᡠcᙠᙢ☢7$891஺ecf$ghY1,./icDER,>?஻?,Zᐸ>?ᙳᒴᑖnᙠo7pqr>?஺JcḄ1L஺12-1012-11Mᵫt$W☢Y1ḄuOḄ1L,vtw>fWxḄ1LT'>f01Ḅ1LyTᨵT=—mvi+—mR2(-')2=mvi2c2R⚪12-5᝞12-12ᡠ</,>?mḄᒴ>ᩚOA+ᳫ┦}O(),~+v-./஺'gh01஺:;ᩚTghḄᜳ-JᩚḄ1L஺:ᑖJᩚḄ1LT-fdT=fZ(ߟߟx2sin)dx=--Parsin20--ml2co2sin20J஺Jo2I2/36⚪12-6᝞12-13ᡠ
1ᘤḄᯠ?30gḄᳫᘤpqᔜᜐ᥅஺Jᳫᘤ4Ḅ./஺

85MRtᳫᑮᳫ¢Ḅ£ᨵ¤2=-mg/sin30+¯°(±_³2)Z=0,n--mv2ᵫ1L)ᳮ;f·2¸ᨵᐵº?»ᐭ,v=8.1m/s⚪12-7᝞12-14ᡠ
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uឋᦪkḄÆᑖVTACஹ8cḄÏÐÑÇ஺:;Ò<l=AC/2=BC/2.JÓNC4Bᵫ60஺Ã30஺4ÌᱥDḄÌTឋᡠ$ḄÔ஺12-14M(1)Ì$Ô

86W=mg(z-z)=mg(V3-l)/l20(2)ឋ$ÔW=g᝕(42—Ö)=—g%(Ø—1)2/஺2=(G—2)Ù213
DᔣFG$HIÚὃ⚪13-1ᢣ&ᑡᭆßḄàV(1)ᑁTâ;(2)ÃãTâÃ;(3)ឋÃãTᛛឋÃã;(4)᩽▲âTçᵨâ஺:ᶍ13-2éê)ëᨵÁìãíîᑖVïðñòîMéê)ëḄóôãíᨵÆì஺ᐸÏᵨtõö÷RÃã?T*yøᐵḄ⊤úíAjEAᵨtõöâÃTâyøᐵḄ⊤úícr=Eg13-3ûüýᙠþÿ
⊤▤ᔜᨵᱯḄ
ᑖ▤ᑖឋ▤ஹ!"▤ஹ#ᓄ▤%⚠'▤஺ᐸឋ▤Ḅ*+,-ឋḄ,◀01*+2ᐰ4ᜫ;718▤Ḅ*+9:⌕,-ᛛឋ*+,0◀1=>ᨵ?ᑖ*+@ᶇ஺13-4BᩚḄD0EFGH☢JEFKH☢+LMN,ᩚOḄᩞᧇMNRSḄT0,-ᔲEFVᵨT0,-ᔲEFT0EFVᵨT0MF஺

87YZ⚪⚪13-1᝞]13-18ᡠ_`▤abDcdGH☢JAi=400mm2,A2=300mm2,A3=200mm2,Def0gh᝞]ᡠ_஺ijᔜGH☢eḄT0஺✌ᐜmᑖjnᔜḄD0FAB=50kN,F=-30kN,F=lOkN,F=-20kNBCCDDEopmqrnᔜḄT0ABT0:=u=125MPavT0w4BCT0=f^=-100MPavxT0wACDT0:==33.3MPavT0w&T0:%z=f/=—100MPavxT0w■4⚪13-2᝞]13-19ᡠ_ḄFbᩚᙠ8ஹCஹDஹEᜐᑖ}ᵨᨵ᜜0ஹ3ஹ2%I,Q=10kN,F2=20kN,3=15kN,&=8kN஺inᩚOḄD0]஺e]13-18]13-19ᵫ⚪✌ᐜjnḄ0

88=ᱏ`6+ᨴ`=-3kNopmjnᔜD0᝞A3:EM=f=-3kN;8c:2="+E=5kNCO:&3=6`E=T°kN0E:84=6=l°kN᪷ªqr«¬nD0],᝞]ᡠ_⚪13-3᝞]13-20ᡠ_`ᙠ®ᜐ¯°ḄbᩚDᔣ²₹F=20kN,cd/?=25mm,/zo=10mm,fe=20mm»ijᩚᑁḄᨬᜧ¿T0஺]13-20ᵫ⚪dᨬᜧ¿T0nᙠ☢JÀÁḄGH☢eᓽ¯°ᐸᨬᜧ¿T0F-F-20kN”f…Ncr=——=--------=-----------------7=-66.7MPa(h-hjb(25-10)x20mm2ÈÉ⊤_ᨬᜧ¿T0xT0஺⚪13-4᝞]13-21ᡠ_`▤abDÊdDᡠfḄ²₹ᑖPi=30kN,P2=10kN,GH☢JAAcHOOmn?,AQ200mm2,ឋÏÐE=200GPa஺ijᔜᩚGH☢eḄᑁ0%T0,mÓᩚOḄÔ*+஺

89]13-21ᵫ⚪jÕAḄ0F=-20kNAopmjnᩚOᔜD0ABD0:F=F=-20kNvx0wABABDD0:F=P=lOkNv0wBD2ᔜT0ᑖABT0^E==-40MPavxT0w4cBCT0:<77=u.=20MPavT0wA,cCDT0:="=50MPavT0wᵫØᩚOᔜḄ☢J%D0MNTᑖqr*+ᯠ1jᐸÚᦪ%஺%/=\l+\l+M=+VBC+=0.015mmABBCCDEAACÜ44cÜ஺஺⚪13-5᝞]13-22ᡠ_Ḅ8ÝÞᵫᩈᩚAB%ᩚBC᪀ᡂBᩚḄGH☢JᑖAAB=104mm2A5c=600mm2;BᩚḄVᵨT0ᑖr

90=7MPa,[cr]=160MPaoijBᜐâḄᨬᜧV²₹F஺ZjC]13-22✌ᐜf0ᑖ᪆ᑖjÕᩈᩚAB%ᩚBCḄD0F=#>FTh(S,F=2Fv0wABBCäpmÕᑮᩈᩚABḄVᵨD06F=FABKAgಘ4ᓽçèᩈᩚAB#éᡠÕḄV²₹[ë40.4kNNᳮÕᑮᩚBCḄVᵨD02="W&cíᦋᓽçèᩚBC#éᡠÕḄV²₹ïðᵪò7çè᦮«᪀Ḅôᐰ,8ᜐḄᨬᜧV²₹T[F]=40.4kN

9114
Kᑗ$ᢴHõὃ⚪14-1÷øùᑗḄf0ᱯ%*+ᱯ஺ùᑗf0Ḅᱯ,-:}ᵨᙠ᪀OBû☢eGᔣ᜜0Ḅᔠ0ᜧÁEFýᔣE}ᵨ®Eþÿ;ᐸᱯ:ᵨḄᔜ☢ᨵḼᵨᔣ┯Ḅ!"஺14-2$%ᢴ'()ᢴ'(*+ᔣ',(ᨵ$%-.)/0ᢴ'(,ᢣᙠ456*7456Ḅ58☢9:;'<=>?Ḅ(஺ᢴ'(;ᢴ'Ḅ@58☢ABḄ(,=+ᔣ',(ᵫᩚ6EF'ᵨ=ABḄ(஺14-3ᢴ'☢G*ᢴ'HI☢Gᨵ$%-.*ὶK)/0ᢴ'☢G*ᢴ'HI☢GḄᐵK,(MᐹOPQ=R஺S58☢TU☢Vᢴ'HI☢GWᢴ'☢G;S58☢TX☢Vᢴ'HI☢GTY▭58☢ᙠᚖ\ᢴ'ᔣḄᢗ^☢G஺14-4᝞`HIaᑗ()aᑗḄcd᪥᪶gᑣ$%)/0aᑗ(ḄHIijTAjk,ᕒTFa☢9Ḅa,ATFa☢Ḅ☢G஺aᑗḄcd᪥᪶gᑣ᝞m0r=—<[r]ALnjkবTᩞᧇḄrᵨa(஺14-5᝞`HIᢴ'()᝞`sRᢴ'HI☢G)ᢴ'Ḅcd᪥᪶gᑣ

92$%)/0ᙠᢴ'YᵨHIkuᎷwᢴ'☢9Ḅ(ᑖyᙳᒴḄ|Vᨵ%=%J4jk}T58☢9Ḅᢴ'ATᢴ'HI☢G஺ᢴ'cdᩩ6Tjk,TᩞᧇḄrᵨᢴ'(⚪⚪14-1A᝞14-5ᡠḄFᙊᩚḄaᑗ☢*ᢴ'☢஺⚪14-2᝞14-6ᡠḄmᧇ,ᧇ\4=12mm,ᐸᢙacd

93=320MPa஺HIᑗ஺14-6/0ᵫ⚪ᨬa(7=%==------------51™-------------==320MPaA-nd10.25x3.14X(0.012m)2"4/=36.2kN⚪14-3᝞14-7ᡠḄᩚ¡@\¢Ḅ£┑¥Rᙠ¦§9ᩚ*¦§ᩞᧇ¢஺¨¦§ᡠF©₹F=80kN,§«480mm§¬(5=10mm┑\916mmrᵨᑗ(ব=100MPa,rᵨᢴ'(=300MPa஺᪥᪶®┑Ḅaᑗ*ᢴ'cd஺4—¯/0ᵫ⚪ᔜ®┑Ḅᩞᧇ*\ᙳ¢°᜜ᵨ┑²aᑗ☢Ḅ

94,:|³´Tᔜ┑aᑗ☢9Ḅa¢T—=20kN஺4᪷¶aᑗYᵨHIḄcdᩩ6,᪥᪶aᑗcd·%Ti=99.5MPa<[r]=100MPa~1,A2-Ttd-4:|aᑗcd¹஺┑ᡠFᢴ'W┑aᑗ☢9Ḅa:|᪷¶ᢴ'YᵨHIḄcdᩩ6,᪥᪶ᢴ'cd%=?=»=125MPa<[crj=300MPa:|ᢴ'cd¹஺⚪14-4᝞14-8ᡠ45a=30mm=800101,0=1011101,/;'=1201<2rᵨᑗ(ব=80MPa.rᵨᢴ'(¼½=200MPa஺᪥᪶¾᪀6Ḅaᑗ*ᢴ'cd஺14-8/0ᵫ᪀6ÀÁÂᑖḄFPQ¢³ÁÃÂᑖTẆÅÆᐸaᑗ☢aᑗ☢ᢴ'☢

95᪷¶aᑗYᵨHIḄcdᩩ6,᪥᪶aᑗcdFQF120kN../]T--=—=---------=5<0nMPDa<[r]=80MPaAab30mmx80mm:|aᑗcd¹஺᪷¶ᢴ'YᵨHIḄcdᩩ6,᪥᪶ᢴ'cdPjF120kNÇ1cr.=~=—=-----------------=150MPa<[CT]200MPaAbe80mmx10mmj:|ᢴ'cd¹஺

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i>ᙊ¹º☢»MdA=2M>d/?p£¼ᑮy]ᙊX☢Ḅ᩽}ឋMᢙX☢µMW=-^=—PfD/216⚪15-2½¾¿.ÀÁ᝞i15-13ᡠ஺¬H஻=300r/min,ľÅ?᳛PA=30kW,ƪp¾ÅḄ?᳛ᑖMP/Ç5kW,Pc=10kW,P/)=15kW«°Èᑴ³Ḅi஺i15-13✌ᐜ:;ľÅEᔜp¾ÅḄ᜜.Ꮤ

99M=95502=954.9Nm,%=9550x=159.2NmAnnM=9550x=318.3Nm,=95502=477.5NmcnnᯠÌ¢ᵨX☢Íᑖ:;ᔜÎḄ᝞BCÎÏ=—%=T59.2NmC4Î:7Ó=—%,—%=—477.5NmAOÎ:7Ó=%,=477.5NmḄi᝞⚪15-3᝞i15-14ᡠḄ▤Õ
«¬M=5kNm,M2=3ஹ2kN«m,M=l>38kNm,ᩞᧇḄØᵨᑗN.Ù=60MPa,ᐸÚÛÜ᝞iᡠ஺°᪥᪶Ḅßs஺i15-14✌ᐜZABஹBCÎḄTAB=_5kNm,T=-1.8kNmBCᯠÌᑖ᪥᪶ÎḄßs

100%ABÎ:à,x=á5kNm=49.7MPa[rl%2L(0.05m)3å,ABÎḄßsCDæᐰḄ
BCÎḄßsè஺éᡠê,▤ÕḄßsëìíßsᩩ7Ḅ⌕Z஺⚪15-4᝞i15-15ᡠḄ▤Õ
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ḄD76192Nm_£8()MpaNmax^^r>3(i-«4)xio-30237.3mm,£>=38mm,d=19mmব$Ḅ%☢'()*=0.7911?,⚪15-6./0123᝞515-17ᡠ7஺9:஻=500r/min,᳛Pp=30kW,@AB/=Ḅ>᳛ᑖD*E=l5kW,&=10kW,Fo=5kW,G᥅I,ḄKᵨᑗN1ব=40MPa஺Oᵫ
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+஺t᝞$ᙠu+vwxᜐ,ᢰ?2]Oᙳz;{wxᜐᢰ?z;᫡BC$|ஹ~☢Ḅᢰ?2]O஺16-9ᢰ?Mᢰ?]Oᨵ>ᐵ'᫡ᙠBC,\Mᙠ᫡Ḅᔣ,W☢ᑁᡠCᡂḄrsᐝqḄMW᫡Ḅᢰ?M஺7$᫡Ḅᔜ☢HIᙠKF☢ᑁDEM.N2O.N஺ᐸ#$☢CQᙠᚖSTᔣḄM.N,WK☢Ḅᢰ?;☢Zᐸ#ឋ\]^_EḄO.N$WK☢Ḅ]O஺ᢰM*ᜐᑗMḄ᳛Kᜐ☢Ḅ]O஺16-10᫡Ḅ?ᩩo2?ᩩoᑖ,ᢙ2ᢙ?4Ḅᩞᧇ,᫡Ḅ?ᩩo,ᵨ■2ᵨಘ84Ḅᾪឋᩞᧇ¡᝞¢£ஹ◌¥¦,ᑣ◤⌕ᑖ,ᓽ⌕gdmaxW9$஽maxW4᫡Ḅ?ᩩo#,y2tᑖᵨᢰ?2ᵨ]O஺

106³´⚪⚪16-1¶·᝞¸16-27ᡠ¹ᔜ᫡Ḅº¸2-¸஺“广4:ᶍ⚪16-2½¾᫡AB¿ÀÁ᝞¸16-28ᡠ¹$ÂÃÄஹ/«Çg᫡ḄºTi2-Ti$ÈÉᑴº¸2-¸஺¸16-28(1)g᫡ḄºTi2-Ti⌱Ì*☢$ÍÎᵫvAᜐḄÏ?ÐÑx☢|v᫡ÒẆÔ,Õ,`ᑖgÖ᫡ḄºTi2-Ti᝞×஺FQCX)~-F(0

107⚪16-3᝞¸16-29ᡠ¹½¾᫡AB,ÂÃÜ#Ý₹Ä=150kN,᫡Ḅᢙ☢'ᦪ%=2342cn?஺ÇgK᫡ᓻ◅☢Ḅᨬᜧ6n¸16-29✌ᐜë·᫡Ḅ-¸᝞×஺ìᓽᗓ!!ïj`Ñð·$☢Cᓻ◅☢,Ḅᨬᜧ-ò=375kNmó,`gÖᓻ◅☢ḄᨬᜧMcr=—^=160MPamaixW⚪16-4½¾᫡¿ÀÁ᝞¸16-30ᡠ¹$ÂÃRõÇë᫡Ḅº¸2-¸஺¸16-30(1)gwxøkFhrFa%=73=7

108(2)ᑡºTi2-Ti,ACÒFbFbF(X)-—j-(0

109Fl2FF"""(3)ᵨ!"qFᐳ$ᵨ%,ᵫBḄᢰᑖa—_Fl2ql'__'a%=0"+'Ḅ==+,⚪16-6᝞/16-32ᡠ1234᫡6ᙳ8₹ᵨ஺:ᵨ;ᑖ<=4>AஹBᜐḄ᫡Ḅᨬᜧᢰ஺/16-32CD(1)ᑡ᫡ḄFGHIM[X')=FX-qx2=^qlx-^qx1A(2)ᑡJᢰKLMNOᑖHIP;ᑖdr2EI2EIQ;ᑖ"HI1,1.0-------qlx2-------qx3+C.4EI6E1RQ;ᑖ"ᢰKLHIy=------qlx---------qx4+C.X+C,'12EI24EI(3)ST;ᑖUᦪᵫW34᫡ᙠAஹ8YZ4>ᜐḄᢰ[,\]ᨵ

110x=0,y—0;x=/,y=0deST;ᑖUᦪf=gy2C?=0j4l!ᢰ4>Aஹ8ᜐḄᑖ஻=p7jr┐l'%=ᗩj⌮┐l᫡ḄᨬᜧᢰuvᙠwCx☢2ᓽx=-ᜐ2eC"ᨬᜧᢰ25/V=---------------17
XY᝱$[\ᳮ]}ὃ⚪17-1Ḅ᝱᝞ᑖCDᡠḄ᝱,ᢣḄᡠᨵx☢Ḅ஺᪷ᓫᐗ[ḄḄZᦪ2eḄ᝱ᑖᓫᔣ᝱ஹRᔣ᝱ᔣ᝱஺17-2☢᝞STḄᜧCD☢2ᢣ[Ḅ☢஺]Ḅ2ᑣᨬᜧᡈᨬ2£ᨵ

111ᑭᵨ¥e!"7max“min,ᯠ§“maxஹ60ᢥdᜧᑮḄrª᣸ᑡ,ᑖᓫᐗḄZ6ஹ6ஹ8஺17-3᝞ᵨC᪆STRᔣ᝱%®x☢ḄCDRᔣ᝱%®x☢Ḅ¯+¯,(J-crxv(y-—---cos2a-rsin2aaxsin2a-TCOS2aXᐸ,ax☢Ḅ᜜L஻x²ᔣᜳ஺17-4Rᔣ᝱%Ḅᨬᜧᨬᑖ´CDRᔣ᝱%Ḅᨬᜧᨬᑖlz\2µ_¶+%±j
+,2%2-ᓅ2Jஹ17-5Rᔣ᝱ᔣ᝱%Ḅᨬᜧᔜ´?CDRᔣ᝱%Ḅᨬᜧߟ2—*ᔣ᝱%Ḅᨬᜧ17-6º»¼½T¾ᐸ〉ᵨᩩÁÂÃCDº»¼½T¾2ÄÅÆÇᩖ᝱%ÉÊËḄᐵÍ2ᓽᙠÇᩖ᝱%2ÎHᔣḄLÉÏÐᨵᐵ2ÑÒ᜜YZᨵᐵ,᝞%¥ᡠ1஺

112J-஻j6+4l]2=Õ[%஻j×+%lØ£3=4ூ/஻j/+%l]Lº»¼½T¾Ï〉ᵨWLÜឋÉÞ%Ḅᔜᔣ$ឋᩞᧇ஺17-7ᙠUá☟%2ãäᩞᧇḄẚæÞ¥⌕ᨵèCDᙠUá☟%2ᩞᧇẚæḄÞ¥⌕ᨵᛛឋêëᾪឋíîY஺ᐸ2ᛛឋêëᢣᩞᧇᵫWJïêëïðᡈuvñ℉ᛛឋÉÞuvḄẚæ2᝞óôஹõö÷ஹøᴻúᩞᧇḄẚæÞ¥ᛛឋêë;ᾪឋíîᑣᢣᙠJïñ℉ᛛឋÉÞḄûü%uvḄýᯠíî2᝞þஹö÷2ÿ
ᩞᧇḄẚᛛឋ஺17-8ᵨḄᳮᨵᔜ!Ḅ"#$%&ᩩ()*+,-.ᵨḄᳮᨵ/஺ᐸ123ᳮ45ᨬᜧ89:ᳮ,<ᳮ=ᨬᜧ89:)*>?ᩞᧇ@AẚḄB⌕DEF9Ḅᩩ(bjW[b]=—n2Oᳮ45ᨬᜧ89Pᳮ,<ᳮ=ᨬᜧ89P)*>?ᩞᧇ@AẚḄB⌕DEF9Ḅᩩ(+a
w[cr]=33n2Uᳮ45ᨬᜧV9:ᳮ,<ᳮ=ᨬᜧV9:)*>?ᩞᧇẚḄB⌕DEF9Ḅᩩ(?3X&Z=^n2/ᳮ45\ᦋP^_ᳮ<ᳮ=\ᦋP^_)*>?ᩞᧇẚḄB⌕DEF9Ḅᩩ(

1133%)2+(%3%)2+(%-0)2[W[CT]bc⚪⚪17-1ef᝞h17-5ᡠj9:\᝱lᢣnop☢rḄ9:஺-.ᵫhtua=60,q=1OOMPa,q=-30MPa,rஹ.=x=0y)*hjOᔣ9:\᝱lᢣnop☢rḄ9:a+cra—ca=—^——L+co--s--2-a-TXsinla02210°-30MPa+100+30cos120MPa=2.5MPa22cr—o>100+30——-sin2a-rcos2a=----------sin120MPa=56.3MPa2Ar2op☢rḄ{9:ba&V9:%Ḅ|ᔣ&᝞h|ᔣF}஺⚪17-2~᪀(13ᓫᐗᔜp☢Ḅ9:᝞h17-6ᡠj,eᵨ-᪆nB9:Ḅᜧ஺

11450MPa,6-.hjOᔣ9:\᝱lḄᨬᜧஹᨬ{9:ᑖ"x+%c23⇟2J_26MPa--96MPa'DUB9:ᑖb]=26MPa,a=0,%=-96MPa2⚪17-3%ᜐy☢9:\᝱uCFTSOMPashgOMPa.KRLO஺ef<%ᜐḄB9:&ᨬᜧV9:஺-.UB9:ᑖbi=er,=0,q==-90MPa,

115h17-7-.(1)n<%ḄB9:UB9:ᑖ(2)ᵨ2U&2/ᳮF9Ḅᩩ(ᵫ2Uᳮ4“3=._%=+472ᵫ2/ᳮ%”ᦈ(5-%>+(%3%+-0]=V

116¡¢£:¤¥c⚪¦ᫀ¨᯿ª«18
^ᔠ_`Ḅ[\ab¬ὃ⚪18-1+,)*®ᔠPeᑡ±¢£²▭1᪀(´µ®ᔠPḄ²¶஺-.ᡠ·®ᔠP)*ᢣ᪀(ᙠ¹₹»ᵨl¼½µ¾ᡈὅ¾ÁrḄ"#PÂÃ஺18-2ÄÅf-®ᔠPÆ⚪Ḅ3ÇÈÉ)*+,ᐸ〉ᵨᩩ()*+,-.ᙠᑭᵨÄÅf-®ᔠPÆ⚪½tᑖÌÍᔜ"#P>?Ḅ9:,ᯠÏÐÑÄÅᑮ®ᔠP½ḄÓ9:஺rÔÄÅ|ÕᨵᙠPÂlÖ〉ᵨ஺×PØᜧ½¾Ù:&PÚÛFÜݵÞḄᑁ:஺18-38àáâã®ᔠḄᩩ()*+,-.8ã®ᔠḄᩩ(b=ä+"æ,çè]&cr=wécr]/MAXAW7'cmaxAyryLcêzzáã®ᔠḄᩩ(a,=—ë+ì"&cr=3ë3"Á^0],maxAWLJJJ~maxAJw1[t&[%]ᑖᩞᧇḄíᵨ89:&íᵨá9:஺18-4îã®ᔠḄᩩ()*+,-.îã®ᔠḄᩩ(2UᳮV

1172/ᳮ"xï…EyjM2+T2r1-VM2+0.75T2,,R18-5+,ᩩ(...------<[

118M—FaT:;ᓻ◅☢>?@☢+A☢Ḅ7/07ᑖCM=Fl,T=FaDᙊ☢ᩚ$+02ᔠ45EḄᳮ"Ḅᩩ$dM?”_J(F7)2+(Fa)2+a2FI-----------------=---=

119ᵫd,:ᩚACe2ᔠ45஺ᩚABḄf/7᝞8:hJ:+☢Cᓻ◅☢,ᙠ☢CḄ8jᔜlm-ᨬᜧe\FNτMnax40x10,12xl03জmax=100.5MPaAW-26.1x10-4161x10^ᵫJpᨬᜧe\/Zᵨ\ಘ=100MPaḄrstu+:vwxyᩩ$஺⚪18-3᝞18-10ᡠz{|}ᵫ~ᑴᡂ+|}d=120mm,e=400mm,~ᩞᧇḄZᵨ\[<7,]=30MPa,Zᵨ\[<7]=100MPa,?|}ḄZ:₹஺(18-10&'ᵫ⚪*+|}
2ᔠ45஺|}Ḅf/7ᑖCFN=F,M=Fef/7ᡠm-Ḅ\ᑖC

1204FM32Fe5=T=+=ᾓ=-yrAndWnddE,|}jlḄ\_FM_4F32FeN♦U+7+⊈3|}jlḄ\M_4F32Feᵫ~ᢙe+ᢙr+ᦑ\D
¡¢£+ᓽF^M4F32Fe+=+bᨵ4-]AWnd2nd3:&§+/W12.264kN஺⚪18-4᝞18-11ᡠ+¯᪀$ᵫ±᪷³´Wµ¶·¸ᡂ+±WµḄ᜜ᙳ140mm+½¾ᙳ10mm஺¿A᪀$ᓻ◅☢JḄᨬᜧ\/ᨬᜧe\஺18-11&'᪀$
᝞8+ᐸaÀ=3kN,F=4kN஺Ay

121ACᩚJḄf/7ᑖCÂ=b+஻ÄÅÆ=Ç.’Éd+☢Cᓻ◅☢+A☢JḄf/7ᑖCFN=-F=-3kN,M=2mF=8kNmAXAy☢CJḄᨬᜧ\O-,.,/ᨬᜧe\b’maxᑖCᩚ8jḄ/l/naxᩚJjḄgl+ᐸsᑖC6.max]F.M[63.8MPa07,maxJAW[-65.2MPaÊ18-5᝞18-12ᡠ1fABᵫᵯÌÍÎ+ÍÏ£>=400mm,ÐÍÑQ=6kN,ÒÓ2=3kN,fÔÕÖ/=200mm,Zᵨ\ম=120MPa஺ᑭᵨᳮ"Ù¢fABḄ஺18-12&'ᵫ⚪*+fAB02ᔠ45஺fABḄ7/07᝞8:

1227600N,m:;+aÕ☢Cᓻ◅☢+A☢JḄ7/07ᑖCM=0.45kN^B^0.6kNmᵫᳮ"?ABfḄc,7rd3W=---->----------=6250mm32::&§d240mm஺19
Hᩚd?Úὃ⚪19-1ÜÝÞßeᩚḄà?ឋâ&'ãäᩚᙠ
eEåᢝçᨵè⊝ê᝱Ḅ+ìeᩚḄà?ឋ஺19-2
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eᩚ$Ḅðñ/òᵨᙠᩚ$JḄ₹Ḅᜧu³ᐵ஺ôõKöp÷øùeᩚðñḄÉú஺m712EI—ûKa,F”eᩚḄðñ;EᩞᧇḄýឋþÿ;/ᩚ☢Ḅឋ;஻

123ᦪ;/ᩚ஺19-4ᩚḄḄᜧᨵᐵ#$ᩚḄ%&i'(,i*☢Ḅឋ+,஺ᩚḄ-(.᧜0ᩚḄஹ23ᩩ5ஹ☢6789:;<=>?Ḅ@A஺19-5᝞Cᑨ%ᜧᩚ#$ᜧᩚḄ>EF$'(ᵨᩞᧇḄJK᩽▲஺19-6NOᙊ☢ᩚḄQ,RS+T;ᩚḄஹ<=?UV<=>?ᔜᨵ@A#$NOᙊ☢ᩚḄQ,RS+T;ᩚḄV<=>?XYT<=?YZᩭḄl/4o19-7᝞C᪥᪶ᩚḄ^%ឋ#$0_`ᩚabᐰdeTᩚḄfᔣ?>EF$=iᑍk«st'(,Krᩚ<=?;஻stᩚḄde^%bᐰᦪ;ilr^%mᵨ?஺ᡈ%'(T%r<=>?;m^%mᵨ>?஺19-8pqᩚ^%ឋḄrsᨵ

124pqᩚ^%ឋT>ᔠᳮ⌱wᩞᧇx᝞⌱ᵨEyzqḄᩞᧇ{☢67x᝞ᵨ|}~ᡂḄ☢☢Tᵨᙊ☢ᙊ☢{T>ᦋᗐ23ᩩ5x᝞ᩚᐸ᪀5ὶT>aᑴᡂឋᡈᵨzḄᔠ{,ᙠᩩ5ᐕmḄSᩚḄ:஺⚪⚪19-1C¥ᜫ^C¥^%§⊝X^%§⊝#:ᶍ஺⚪19-2᝞¬19-6ᡠ¯T°±²%°±³ᵫḄµᩚTᩚ/=2m,☢676?=20mm,஻=30mm,ᩞᧇḄ¹ឋºE=200GPa஺¿ÀÁᩚḄ<=?஺X¬19-6#$x1{ÂÃ☢Ḅឋᵫ⚪ÄTÁᩚ✌ᐜᙠX{T§☢ᑁᜫ^TᦑឋÊঞ_45x203=3.0xl04mm4-12-x2{ÂÃ<=?TCEI^2x200xl09x3.0xlQ-8=3701N=3.7kN(2x2)2

125⚪19-3᝞¬19-7ᡠ¯TᔜᩚḄᩞᧇ☢ᙳÙÚT¿Û᪷ᩚḄ<=?zᜧ(a)(b)(c)(d)¬19-7#$L7T2£/K2EILH2EIit2El(a)g%==i((b)gᐘ"᪆=mnFEIn1EInTCEITEEI(c):r=-------7=----7ã(d):r=-----------cr(0.5/)2(4.5)2cr(2/)2(4)2⚪19-4᝞¬19-8ᡠ¯æçᓟé⚔Tᨬᜧ/=400mm,æᩚḄæìᑁ,d=40mm,ᩞᧇQ235}TᨬᜧíîF=70kN,ð%Ḅ^%bᐰᦪ஻“=3.4஺¿᪥᪶ᐸ^%ឋ஺(p¯$ò

126¬19-8#$(1)ÂÃᩚḄÿᩚ
ᓄᵫஹḄᩚ,஻=2;ᙊ☢Ḅឋ\A4
ᩚḄ!"#$=&'8஺z10(2)ᑨ*ᩚḄ+,-./0ᵫᩚḄ!"1234=62
4=80
5,=100,67./0Ḅ89:ᵨ<=>?3jrx402F=(«-M)A=(31OMPa-1.12MPax80)x(---)mm2=276.9kNcr(3)᪥᪶ᩚBឋF.276.9….n=-SrL=--------=3.96n.,=3.4F705C6ᩚBḄ஺⚪19-5ᩞᧇG=HḄIJK᝞K19-9(a)ᡠI஺N᪷PQḄR"ᙳ/=3m,TU᪷PQV0WXᩞᧇḄYឋZ[E=210GPa,%=200MPa,G=ᨬᜧ^₹

127Fmax=1000kN,aḄBbᐰdᦪ஻"=4஺GᢥBឋ⌕i8PQj஺(lI:PQᜫB7Ḅopqr᝞K19-9(b)ᡠI,R"dᦪ஻=1஺)(a)(b)K19-9t3(1)U᪷PQḄ./02n2(210xl09Pa)(^-rf4)nFJF=3M=------------------0—=[(1.13xlO'°)J4]Ncrcr>(lx3m)2(2)i8PQjᵫᩚBឋᩩvF^^_[(1.13xl0l0)d4]Nh=97mm1.13xlO10

12820
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12920-4᪀vVÍo¹0¶ᵨª°±ÝÞᜫᦔ7Ḅ*ßᨵàᱯát3᪀vᙠÍo¹0¶ᵨḄẚãp?☟^₹7äᐰ©åᐸ⌕ᱯ:ẚã7᪀vᑁḄᨬᜧ¹0çèᩞᧇḄé"᩽▲,ìíèîï᩽▲;©ñᛛឋᩞᧇóᾪឋᩞᧇ,ᙳᕈᾪឋ*öẚã÷ø®¯ᛛឋop஺ẚã*ß⊤☢xú
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130W(1+0)W(l+-)%______g3WOdA-A2A⚪20-2Hi᝞D20-9(a)ஹ(b)ᡠFno)*ḄVᙳ)*cmஹ)*s=deᱯឋh(a):r=0,cr„,=50Mpa,4=50MPa(b):r=0.2,