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(mm) 5 5. 8 !*1tf*:fi$:#iit*1,FJh-l-3tllAJt:lit fi. #$:%Tult: 5. 8. 1 Rj;gJ * *E!l*)f W.J;Et& .fJpRj;g. 5. 8. 2 *1tt* t:mtrs)b 5. 7-2 tBHiUfL1iftif Cmm) 4HL1i.1 ft-tt 461L1i 1 ft-tt .; 14 +O. 3 30 -32 +O. 6 0 0 16 -22 +O. 4 34 -37 +O. 7 0 0 24 -28 +O. 5 ;. 40 +O. 8 0 0 -Jtftilli*N*n*; 5. 8. 3 1*?J1Hlli*4lli005*- H11Jg*1u1i )t it1lie!: $_%it*1rl*Jt, Jtfl-* SA* 5. 8. 3*-*5. 8. 3 JlMHtrnHtMi1*Im.;.* Hll.9 ilil lII 53itlt %1 t$ ft ft(m) ft(m) +5 0 (4) tt nt4lli* 11Ai!itJr nt*1 tr nt) JJJlt. :!t-4lliJ*-)t it1lie!:$_%it*1r I i3t aJJ ft, xfl.Jt, SA*5. 8. 3Jt. 5. 9 1t4lli*Eiit*1r liJtaJJ JtIff*fii. rl*JtT, *1 soox; L, S* *r!loo-oooos i;fl il I iff $_ r ! aJJ 11Q.1i 5. 10 1t*#*-*tfM$_:Q6ooc ct;# *wm*1*s%tt*1ooffl* jt, Jtafjjt, #*W1l$_1f;-f15C; 1t *IF* *fi 5.11 1t4lli*4lli$_%THJ!.Jt: 5. 11. 1 4lli 00 S*ffl 4!it*IDil*-r I, 4lli00 J:IS A fi .ill:. #Ii ift.!t4lli.tt_;itJMI JGJ 145-2013 ;fr JU!. 5.11. 2 *fflJ)t1%JJ4lli $_yttf.t*fi,:#-$_ r1*Jt%*1i*n, nS1f-A 5.11. 3 1%JStrH%1l*11t4llitix:lJt4if1x#% :I; -1%1*1fflt $_. .J: mA, :#-SJtAJJJ.-ti-5. 12 1t1ltitiYf1L. 5i*1I$_ff% Jt, 3CJt,#*Wm$_ 1f;-f15C; ttIF* f:ro*fi 7 5. 15 t.tMlfi :rLS1?-r H!lt: 5.15. 1 t.tMlfi:fLj, S-iA:iiHr:rL1ftt.f*1t1ft, iLSi!t7f #-, E*fflfi:rL; 5.15. 2 t.tMlfi:rL:rLJt.it1fiH:SJV&5.16-l;ft.; lfi:rLJ! ft, .Klt*11ft.l.Jt.it!:SJi:-*5. 16-2ft. 14 14 -20 Jt% 1 2 3 5. 15. 2-1 fmt&fLfLitit-fq(lllTI) +l. 0 0 + 1. 5 0 t.t1i$1i -Pili l.$J14=-46-tLitlt (mm) +20 0 +10 0 +5 0 22 -32 34 -40 +2. 0 0 +2. 5 0 i: 46-tL1i!i (%) (mm) 5 10 3 5 1 3 5. 16 t.tMlfi :fL Yi:fL, J1XJrJ Wi:i tiJ *1t.tM:5iIS 1?-t. 5.17 t.tMM.ft*JfJtJlA#.:lttiHt!k, *Jflffti:Jtti, :it titi!kttS1?-00*ff*#$t.*Jflfftiti!k 5.17. 1 ff:fi.fil:U1J1Xj*ff, 19fij1J1XEfftiflt, S*fff11 *14-ff=tiE w;l;f; 5. 17. 2 ffti:5iI. flt, S ltlf jiff, :5i ff1iJE it jf:J1X :fL 19J W JeitSf2tMfillt; 5.17. 3 ff:fiflt, Stfftiti.m:JttijH.tMt. 5. 18 Ellti lil It.tJk.S1#r L5c1tf: 5. 18. 1 RitX.14-; 5.18. 2 J1XJttl*1lltitt1mi1aJJEX.ter1?-i.iL 1 A*%EX.1Afil*%, i*fil*%; 5. 18. 3 lMlilI.I.ic; 5.18. 4 ElltilIIIm1fiE* #: 5Ft!tElM t;ijt) JGJ145-20131l(fD*Jfj; 5. 18. 5 lJtijftJ*; 5. 18. 6 ElJti7JPfI.m5z.iE; 5. 18. 7 I.i:k!jllJ.iE; 5. 18. 8 Jt.1il!. *X1tfiE. 5.19 ElMI.iI.m1?-flt, Stil:5iI.11i1ittltiHx ;5i, Rit11iw19ti1AE:5i, #St:1t, tlk_. / 1 Uitt.tt.J %wio/h, R*frh-R*h-*frh&h#h. mfn no/%*Kh, %*Kh&h, nKo/K*h. 15Z.*frh lt/i%P001-L i!Jl-2,/i)f; 15Z.* h lt/i%Pl!Jl-3,/i)f; *frh & h %P 001-4 -001-6,/i)f. N N N (a) 1fttjf(tll (b) 1ffijf(tll:h :h IE 1-1 &7* :H:tJ aJ;JiItitt 1$ v IJ1-3 7e*IffifaJ! CtT*t-*ftthRh -,.-,.-1 It: ttthm ilitili -t 001% 14G308 filhttl* A*hfilW-1. 17 2 tJLfRHi.B*irlf-t!W*imm iJ5! c m2-1 ) 1 mmtt!mttmmiJ 1. tEHiJ6l/S III 1t*Ett f J liJPi 1r JC;f,;t 19.:IW 4JlJJ JGJ 145-2013ftt;kJl,Jt:lttfi l5J -lii:tfj:tt/JL r fhl/Sti ffi15JlttirJt, &ffiS*thit#itt15Jlto 4JlJlJJ.at, PJ:lttfi*hJo *#a*t#% .gko 00i% 14G308 / 3 t1Mi:JffliiitiIBm IJf9tl i!XJ5lVii -+- 1-1 2-2 ii: L 1P*-2HHUrJ6Wil!l:liti.i.7Jt, lili!Ht AvURifft-1*-IriitA:_, l!ll% 14G308 19 tilHH ffi.t?:JHtK r .-1.-.-1 titt PJt!(15lffi. t JJ itK JlJ r:bi-lffi. ii: L ill:;f :ittH.ltn.:i: i9.: llH!Ut 8./tlfJ f-i.I if Htt!JttJ141f-J rott, *mMM-o 2. #ttlfl* mttAIo r 2 ., 4 . . . lto 5. Lrffi:#mJfJllatmW#,t:lto 001t% 14G308 22 #tr# mJVJt Cf) 1fiXt =rA (.) n )fiiJ l.:i?L ii: L it:r.n;-JIJJ,ifAfL.tiffyf.ult sltiklR llt1fpi_1$-1P #L#ntA*lt#m. it :r.*m#w-*mramtt # fJHt HI/iii. 2. #ttff#$-W -tthA h. *#ttffam* w :t m#tttttth i!ie,g1 m;1itth. * w-T h7I riiJ 1: f # n if.l L:it. JHlii*:it.lle: :I&7c f 1 OherA60d, l?SJ it 1-1 JJ.Jt tz:h:&t :hWi*i I* -tffeJ!f. *1-.tt. -*:t. + JJ S#i-4 Jl;f .:r. 11n1,tf fflttt. m. ttt*ffftttt. !1!% 14G308 24 .3:.1*tlli:mtitimltia (iL w ru 9:1*:iF*ir*J4iit) 1-1 : 1. -*M-tttmtt -$*0 mtt*mAMG . *tttwh W* wG*mAMGo *h- 12 *fi:ootimltia (00 9:1*ffer*J4iiilk ;f:t w .tltfl:EJJ :t J #f-M;) iii ii ii :t J :Ji (hldat) 2-2 mttt* S*#mo *w h#1*3twx JtQh:lFf W5*h* S* *xAh-W*-Gho 2. -ttm lddl-MHt#- tt.M-m tt.#JJttt JGJ145-2013fl.o -t!Htt I I ti.A. ). _J _ -jJtlj _ J I I I I -:_i _ 1-1 = tt*tt. *tt*m *-tts * *s* t11i lfil 1*ltldS it19t ft. 2-2 2 2 IJiJU-! 1tBHi*4m:t.J 9:1 191fffii :fr-llait*Mtih, 4frJiit1tF,d=20kN, 4:b:J lg 5lll 191t: Wllait# *!:ro 7:J 35 o # J:C30;Jf 5lll, *-H-5lllx r.A%, 1!1!J1!f J:J f JJ 1!f, F tjl; i IW il!. lL d ;f!A 11Hi :# J1i ff* J 1Jt o . -. -:-Md _ Fsd =20kN l h=300 , mttt.JitW 1i:b:J Nd=F.dsina=20sin35=ll. 47kN llai:f J V.d=F.dcos a=20cos35=16. 38kN 2. mttJTtttt.J 12t_JWJt!tt!l!llait, tl#8. 8, M16t)t:fiMit, :t : h0r=190mm, A,=157mm2, dnom=29mm, hmin=270mm, Ccr,N=285mm, Scr,N=570mm, Cmin=150mm s min=l90mm lr=90mm, k =2. Omm, Ccr,sp=285mm, Scr,sp=570mm0 C1 =200mml Md=ll. 47kN, m)tft_ 2. 2 514!#-ti:tf;fttJ NRd,c=Mk,c /y Rc,N NRk, c = NRi, c Ac, N tV s, N cJ re, N cJ ec, N AcN NR,c =7. off;. h/ (6.1.3-1) ( 6. 1. 3-2 ) ( 6. 1. 3-3 ) =7. 0/30x 1901.llOOO =100. 41kN Jiiit1Plt:1tz.f! 11 c 1 s,N=Q. 7+0. 3-Q-=0. 7+0. 3x 2285 0. 91 N.d=ll. 47kN, mJt:sjt 2. 3 itt:lfjftJ h min= 2 7 Omm h=300mm Cmin = 150mmc1=200mm ttt:!*19=1/F f-&Wlfo Wf-C1=200mm 1. 5Ccr,sp=l. 5 x 285=427. 50mm h =300mm 2her =2 x 190=380mm -f-W-1*#:lfjftlJo NRd, sp=NRk, sp /V Rsp NRk, sp = h, sp NRk, c ,h -J, . -2/ 3 II h, s p = ( -,;:;:-) =( )213=1.0731.5, NRk, c = NR, c Ac N cjJ s, N cjJ re, N cjJ ec, N Ac,N WWr NR,c=lOO. 41kN (6.1.12-1) ( 6. 1. 12-2) (6.1.12-3) JRcj; h,sp =l. 073 c 200 cjJ s,N =0. 7+0. 3 X -=0. 7+0. 3 X 285 =0. 91 N.d=ll. 47kN, mJt!:sjt 2. 4 %H!#:lfittlh Vs.r16. 38kN, mJtJt 2. 5 1t:lt5l:lfjftlJ VRd,C = VRk,cf.I Re, v VRk, c = vR:, c Ac v cjJ s, v h, v cjJ (). v cjJ re, vl&Jtl;tOO lt(JIW:it/-1Xtf-I J.J gr 28 t2 t2 =O.l(d110m/c1) =0.1 (29/200) =0.068 ( 6. 1. 16-4 ) TTO 1 35 290.067 0068FJi 15 YRk,c= . x x 190 .130 x 200 /1000=37. 44kN tiJf- h=300=l. sc1 =1. s x 200, ll.1tH!1.ftf-$ (#;1116.1.17) 1f: Ac,v =A.v =4. Sc ( 6. 1. 1 7 ) (6.1.19) cV h, y = ( 1. 5 C I ) 112 = ( 1. 5 X 2 0 0 )l/2=1 ( 6 h 300 .1.20) #;1.6. 1. 21 -6. 1. 23,t: cV a, Y = l, cV ec, Y = l, cV re, y = l, #;*1*4, 3. 1 o;t, :vRc,Y =1. 5 #lft1i. VRk,C =37. 44 x 1x1x1xix1x1=37. 44kN i9:.it1i Vad,c=37. 44/1. 5=24. 96kNVsd=l6. 38kN .:zjt. wK-2. 6 5rttffi.lh Vad,cp= Vak,cp N Rep (6. 1. 26-1) Vak,cp= kNRk,c (6. 1. 26-2) tiJmf-lf NRk,=77. 75kN, y Rcp=l. 5 #;1.6. 1. 26, k=2 Ritt VRd,cp=2 X 77. 75/1. 5 = 103. 67kN V.d= 16. 38kN, ft_.:zjt #t f, -tttffi. lhVid,cp Ht!tJ, Pf-, t:i.$t!:f.f1.f t ( c lOher ) ffiAilm1aH!5*;tt. 3 tli%t.Jjf($Xt.J 3. 1 1tH:tiJ#.tiz:f %ffi.lh ( NN,d )2+( rrd)2=(ll. 47/+ (16. 38)2 (6.1. 28_1) Rd, s Y Rd, s 8 3. 7 3 41. 8 7 =0.171, Jt.t 3. 2 5rt1iifrf %7ttlJ (-1LL/:+ V,d )u= ( 11. 47)1.5+(16. 38 )u (6 1 ) N TT 43 19 . 29-1 Rd,c Y Rd,c . 24. 9 6 =0. 67 Md,c Vad,cp VRd,c ft fJ-1iJ:fi Md, splJz Vad,cp -&ffi, In:). 19tl= mmru iSt.J -WR1fiJM, !t11fJJ, i.e=94mm, -M-1*f1%:XSi9:.it11N=30kN. #J;C40 7f51, 1!ff-litiOO rK5l*:tc. 1t:fl1!f7a !tgg1!f. 12H1tliti#1itfiffi.lh #. N 0 -CI -m:-; L1 f2=3s 1 ti*i:hi.tW 1. 1 llt!tz:h 0 00 N 350 Nd 36. 294 4. 7kN (1 %lMitf) 1. 2 llati ;h N =30kN e=94 c1=280mm lOher, i!Jil1i)t:tffit, 15l;fJ!ll# if N :d =4. 7kN, JtJt 2. 2 11HMi il itt 1* .f tr 1ilt :ff Jl. h (6. 1. 3-1) (6. 1. 3-2) Jf)Et M,c=9. 8)fcu,k h/ (6. 1. 3-4) =9. 8)40 x 180u/1000=149. 68kN c )=22 Omm 0. 5 s cr,N =18 Omm, s=35 Omm s cr.r36 Omm Ac,N= ( s+scr,N) Scr,N = ( 350+360) 360=255600mm2 z E 1 JfX. Ws,N=l Wre,N=l (*,&JC W i: lffc:AA) Wec,N=l (JCilffl1) 255600 NRk,c=149. 68 129600 X 1X1X1=295. 20kN Y re, N= 1. 8 NRct,c=295. 20/1. 8=164. OkN 2 x 4. 7kN=9. 4kN )t!l;K 2. 3 1t fHlt: 4. 11 w :1?f flt tz: ft tv: h (6. 1. 6) (6. 1. 7) (6. 1. 8) Mct,p=Mk,p/YRp (6. 2. 4-1) NRk,p=NRk,0p AA,N Ws,NpWg,NpWee,NpWre,Np (6. 2. 4-2) p, N NRkp=Tr x d xher x TRk (6. 2. 4-3) TRk =6. 0 x 0. 4=2. 4N/mm2 ( lf;l_l, :TfilJl, -KJttJ!V;) NRkp=rr x 16 x 180 x 2. 4/1000=21. 71kN T Rk, ucr O. 5 . 6 0. 5 Scr,Np=20d( 7_5) =20x16(5) =286mm R c!=220mm 0. 5Scr,Np=0. 5 x 286=143mm=ccr,np S2 =350mm) S cr,Np=286mm tj ifi-liiHt jt Ap,N = A.N cl 220 Ws,Np=O. 7+0, 3-=0. 7+0, 3-143 =1. 16) 1 JfX.i!Js,Np=l C er, Np ijJ g, Np = 1 ( ifi-lla ) Wee, Np=l ( JC ilffl I ) , Wre, Np= 1 ( * iiJ JC W i: lffc J$ ) NRkf21. 71x+x1x1x1x1=21. 71kN YRp =l. 8 NRd,p=21. 70/1. 8=12. 06kN 4. 7kN Jt!lR l S2 =350l r + 0. st Np 0. 51er,Np H 0. !Ser,Np er, p 2. 4 *Jt -M-tv: ft m 51 w :1?f tz: fx. tv: h M:.L 4. 7kN )t!l;K = 00 I 2. 5 ;l;fffi.J mr: Jh#titc min=80mm c =220mm, s min =80mm h =350mm J1tiVJ Jf lt # Jf 1t1t#J 2. 8%, 1J,:i11.l fi3J jg:ltg *-fhef lE lt:f%ili :I*iflt:l;f. E c =220mm 1. Sc er, sp=l. 5 x 198=297mm h 2her mw1&1-*1t;l;f Md,sp=Mk,sp/yRsp ( 6. 2. 15-1) Mk,sp=wh,spM.k,c ( 6. 2. 15-2) Wh,sp = (h/hmin )213 ( 6. 2. 15-3) AcN=scr,2sp=3962 =156816mm2 ( 6. 2. 6-1) Ac,N= (Scr,sp +s2) Scr,sp = (396+350) 396=295416 0 7 0 c 220 Ws,N = . + . 3-C-=0. 7+0. 3 198 =1. 033 JR fp N=l er, sp s, Wre,N =l , Wec,N =l ( Jl!,JJQ,$ft6. 1. 7 -6. 1. 8*) + 0. Scr, spl r + S 2 ,L 0. jScr, sp 0 N N 0 00 N 295416 Mk,c =149. 68 156816 x 1x1x1=281. 97kN Wh,sp = ( h/ hmin t1= (350/360)213=0. 981 N,=2 x 4. 7=9. 4kN JiJt 2. 6 1tf1tHt#;J;fJJ ffi.J V Rd, s = V Rk, s / Y Rs, v V Rk,s =O. 5 JykAs J yk=640N/mm2 (;3. 2. 3) , YRs,v =l. 2 VRk,s =O. 5 X 640 X 157/1000=50. 24kN (6.1.14-1) ( 6. 1. 14-2) (;!4. 3. 10) VRd,s =50. 24/1. 2=41. 87kNV, =7. SkN JiJt 2. 1 fHi5ttJiL!t;J;fJJ Jfx.J V Rd, c = V Rk, c / Y Re, v V Rk,c= VRk,0c AAcOv Ws,v Wh,v Wa,vWre,vWec,v c, v (6.2.18-1) (6.2.18-2) V Rkc=l. 9 X dnm hr/cu,k C 1.5 ( :f Jf )tt),l ) ( 6. 2. 19-2 ) a=0.1 (her /c1)o.s=O. l ( 180/280)o.s=O. 0802 B = 0 1 ( dnom / C JO. 2 = 0. 1 ( 16 / 2 8 0 ) Q.2 = 0. 0 5 6 4 VRkc=l. 9 X 160.0SOl X 1800564 X ffO X 2801.l1000=94. 25kN Acv =4. 5 c:=4. 5 x 2802 =352800mm2 ( 6. 1. 17) h =350mm 1. 5 c1=1. 5 x 280=420mm S =350mm 1.5C1) (1-t,6.1.19) W h,v = ( 1. C1 )o.s = ( 1. 53;0280 )o.s =1. 095 ( 6. 1. 20) Wa,v=l, Wre,v =l, Wec,v =l (/Fjfjl) v -9 416500 Rk,c-4. 25 X 352800 X 1X1. 095 X 1X1X1=121. 8lkN YRc,v=l. 5 ( Ji1f*4. 3. 10) VRd,c=l21. 81/1. 5=81. 21kN 30kN Jt!j.).).). 2. 9 tlfji7Jt.J.%- lil-f2%llHtR;iftfJ, /F7*tlJ, JJJffPJJ0 2. 9.1 1%ti#tifiJ.%- &p ( Md ) 2 + () 2 = ( D_ ) 2 + ( 1.:l_ ) 2 NRd,s VRd,s 83. 73 41. 87 = 0. 0352 1 Jt!I.t 2. 9. 2 1 %ti511t:tftif jiJ .%- &p ( Md ) i. s + ( V,d ) i. s = ( D_) i. 5 + ( 1.:l_) i. 5 NRd,c VRd,s 12. 06 28. 95 = 0. 86.)., Pf ,:i;-l/a ffi), 1tl-tinL , .g.)J $*-S*mi#JJ: N=22kN, M=7kNm, V=20kNo llati:WiiJ14=-lIIK, #JI f7f5lC35, J14=-*5lJC;1tricAJL :ft*J14=-Ji f JJ14=-o :l2HtJL;ftti, #:lltD-7* Jito 1 tittPJ:h*fi 1. 1 .fJll7d;fifjrJ 04SG308 33 I D * mYl*15. 2. 24f,-1 Nin-MY, I LY2 =11 7000 x 150 I 1 4 4x1502 0 0 II Cl) 0 0 ._,. II u =-6.17kN Oat, L 2%ljtf.ftiit1i: lrh NL M I I 2 1v sd = ( + ) Y JL Y i ( 5 . 2. 2-2 ) =(22x150+7000) x 300/(2 x 3002)=17.17kN 3, 4%ti1ft-f .fJI IRJIJ rt 5llM1t:i! 1. 2 tit J rf1-fc2=300mm N:d=17.17kN, JWiJtJ-Jt 2. 2 Hj5lJMft#-.f#;l;f7ffe re, A ec, N c, N NR,c=9. 8hr5 =9. 835x 1001.l1000=57. 98kN ( f7f5llM) PJJJ:B-tJb:aAtJ19!u1%, 2%ljtf.ffr, 5llMft#- ;l;f w g p oo rft If: f.:. mmt, , o4sG308 ifi:ft l.I#J yr 34 z ., u Jq + = z + u Jq 0 0. 5,r, N ,l 0. 5tr, N ls2 =300 c2 =300 .;SE;Jl1.iLttHit.OO 0 0 : 1 Ccr,N -O 5 her -O 5+ 100 l + re, N - + 2 0 0 - 2 0 0 = cP ec,N=l (eN=O) tif*ii N =57 98 x 180000 x 1x1x1 x =115 96kN Rk, c 9 0 0 0 0 73-Jffi:* y Rc,N=l. 8 ( *4. 3.10) 1fit1t NRct,c=l15. 96/1. 8=64. 42kN 2Nd=2x17.17=34.34kN, Jift_lf:j( 2. 3 5f1#ktifjf.)J C 2=300mm Cmin =l OOmm h=300mm hmin=200mm :IJi/f r1-1iKXfo liJ-f c1=300mm=l. 5Ccr,sp=l. 5 x 2her =3 x 100=300mm, J1 h=300mm 2her =2 x 100=200mm, Ji.ft_6.1. llJt, ;r#T1iKifmo 2. 4 liati11X1#1iKift ;it1.h Vd=5kN, m!t_lf:j( 2. 5 $tlla5f1#k:l?I1iKift jf.)J 2. 5.1 t)Jt.-fit1t iil:l?Ist Vitct,c= VRk,c/YRc, v Vitk.c=Vit,c AAcov cP,vcPh,vcPa,vcPre,vcPec,v c, v (6. 1. 15-1) (6. 1. 15-2) (6. 1. 16-2) a=0.1 (lr/C1)o.s=O.l (100/300)o.s=0.0577 B = 0 1 ( dnom / C 1 ) O. 2 = 0. 1 ( 2 2 / 3 0 0 ) O. 2 = 0. 0 5 9 3 VRkc=l. 9 x 22 o.omx l000.0593x35x 3001./1000=91. 73kN ii1-fh=300mm 1. 5c 2 =1. 5 x 300=45 Omm, C1 =400mm 1. 5 C2, S1 =300mm V=20kN, JtJt 2. 5. 2 *hf-fi-fg1t iil:JiLffi a=0.1 (lc/c1) 05=0.1(100/400)0.S=O. 050 kc=l. 9dnmhrJ!cu,k c:5 =l. 9 x 220.05 x 100 056 x 35x 4001.5 /1000 =135. 83kN Ac, V = ( C 2 + S + 1. 5 C 1 ) h =(300+300+1. 5 x 400) x 300=360000mm2 A,v =4. 5ci=4. 5 x 4002,;.720000mm2 cV, v =0. 7+0. 3 C2 -0. 7+0. 3 x 3oo =0. 85 1.5c1 1.5x400 .h =(1. 5c1 )112=(1. 5 x 400)112=1 414 + h,V h 300 cVav=2.5(a=90) cjJ =1 (ev=O) ec, V cV re, V = 1 Y Re, V =l. 5 #!ft 11. k c = 1 3 5. 8 3 x 3 6 0 0 0 0 x 0. 8 5 x 1. 414 x 2. 5 x 1 x 1 , 720000 =204. 07kN iit1 VRd,c=204. 07 /1. 5=136. 05kN 20/2=10kN JtJt 2. 6 HJa5lM:l;f3f1.J *11iJW;fi:JiLjgc:l6pJ-f10her, g1t:JiL, )ft :l;f-:fm, :l;f JJio 2. 7 tiL1! j_flf J ffi.f. J *#:tfat: ( Nd )2+ ( Vsd )1= ( 17. 17 )1 +(-5-) 2 NRd,s VRd,s 83. 73 41. 87 =0. 056J. 5lV if at: ( N :d ) 1. :._ ( V :d ) u = ( 1 7. 1 7 x 2 ) u+ (2 x 1 o ) s NRd,c VRd,c 64. 42 61. 90 =0. 57JJ lOher) , ilWi16:fLl1(j,f!J1i:I * fi3 !lj*-fr* 7. 1. 6;t flt Ji)f 1f Witt:l6J-5J ;l t J 0 WifiJi)fjf(t Jiit1i:JJ: V,dx=l0/4=2. 5kN, V,dy =12/4=3kN vd =J cv.dJ2 + ffsd=l9kN, J(:fJt 2. 2 !f-Wi5tt#k. 1t1*-tr:l;fjf(J j6. 1. 3it-: NRd, e= NRk, e /y Re, N NRk, c= NR, c AAeo N cl s, Ncl re, Ncl ee, N e, N NR,e =7. O)feu,k h/ =7. 0 /30 X 1401.5 =6 3. 5 lkN r :vr 005tt#k.tr:l;f1t1* WJ 1= Ac,N = (Ser,N+ S1) Ser,N = ( 420+250) 420=281400mm2 A,N =Ser =4202 =176400mm2 cl,N=l (cCer,N) cl re, N= 1 ( * g X WE ) eN = 19 x 250 -125=58mm 19+7 cl -1 = 1 -o 784 ec,N-1+2eN/Ser,N 1+2 X 58/420 - y Rc,N =l. 8 #ti1i N 281400 Rk,e=63. 51X176400 X 1X1 X 0. 784 =79. 43kN i it1i NRd, e =7 9. 43I1. 8=44. 13kN N :cr26kN, J(:fJt 2 V) . V) . 4 s2 0 Sscr N 0. Sscr N 5i;Jl1lz. 1tti*ti imW-2. 3 5rt;l;f S=250mm Smin=140mm, h =350mm hmin =21 Omm C C min=l40mm, %-F !.!Ji:1f q:i ;J;f c 1. 5 Cer,sp=l. 5 x 210=315mm h=350mm 2 h.r=2 x 140=280mm llf1if*-14;l;f 2. 4 :filiXJ#;l;fJ ;JftJ Cxtc#ltr.e:J) #*1i VRk,=O. 8 x 0. 5/ykA, Jfsd3=7kN =0. 8 x 0. 5 x 480.x 84. 3/1000=16.19kN YRs,v=l. 2 C:filiXJ# J-1$*$ *-f8%flt ,vRk,m* o. 8 ) iit(i VRd, s = VRk,s / Y Rs, V =16. 19 /1. 2 =13. 49kN V.=3. 91kN JtJt 2. 5 )rtJtl;l;fJjtJ i$it6. 1. 26-*-it1t: fad, ep = Vak, ep /V Rep Vak, ep = k NRk, e k =2. 0 ( *h.r 60mmflt) Y Rep =l. 5 ( *4. 3. 10) AT _Aro Ae,N ,h lVRk,c-lVRk,c-Ao + s,N+ re,N+ ec,N e, N NR,e =63. 51kN Ae,N=Cse,N+S1) (Ser,N +s2) = (420+250) (420+250) =448900mm2 .J,:;:. . 1t1.i. N 448900 11Jl-i.El. Rk,e=63. 51X176400 X 1X1X1 =161. 62kN Vak,ep=2 x 161. 62 = 323. 24kN Vad,ep=323. 24/1. 5=215. 49kN 4V, =4 x 3. 91=15. 61kN 2. 6 tiz:JjlJjftJ liXJ#;l;fflti$it6. 1. 28-*-it1t: ( 6. 1. 26-1 ) ( 6. 1. 26-2) 001% 04SG308 39 ( Nd )1+( V. )2= (_lL) (-1.11 )1 ( j6.1. 28-1) NRd,s VRd,s 33. 72 13. 49 =0. 401, Jt.t 5fV;l;ftil:f -th-. ()u+( V,d )u= c-1.L,5+ ( 15. 61 )u NRd,s VRd,s 44. lJ 215. 49 =0.49 12mmf. fit:lttt 14-.JJ P1t. :i!iff1A1Mtb*, #:1ltfi7*JJJ. ,_ 2 1 11 okN l 200 I ,_ 350 1-1 mtt:n C1=200mm lOh.r, -14-:lil.ff, &pj;fr:lil_ -fil*tf, +*mttJJ.JJ: V,hd=40/2=20kN 2 mttn :i!Jl, #6. 8, M16;ff1A1ib*, i.tt.71: : A.=157mm; her=200mm, hmin=300mm lr =200mm, dnom=20mm, Ccr,N =300mm Scr,N=600mm, Cmin=200mm, Smin=200mm 2. 1 *#;l;ftf JJ V,=40/4=10kN, JtJt 2. 2 1t:lil.tf 5l1l;l;f:JJ 1. Sc=l. 5 x 200=300mm Ac. v = ( 2 x 1. 5C1 + S2) 1. 5 C1 = ( 3 x 2 0 O+ 2 0 0 ) x 1. 5 x 2 0 0 =240000mm2 A2.v=4. Sci =4. 5 x 2002=l80000mm2 cl, v =1 ( 1fti-fiif 9:1c 21. 5 c J cl =(1.5c1cl.5x200 )112=0.93 crocJ =l h,V h 350. ,-t-h,V cl a,V =1 cl ec,V =l. 0 ( ev =0) cJ re V =1. 2 -;ij 12 ll 7fjh.) .J,:;.-.&1* v;Rkc=32 17x240000X1X1X1X1X1 2 FJllEL 180000 . =51. 47kN Y Rc,v=l. 5 1.9.Jtft VRd,c=51. 4 7 /1. 5=34. 31 kN V=40kN, )(!jJj( *fhE*), *- *-#-*&* flt-*h, -h* -=-i=Htattjfx., c* 2oomm:J11*400mm. *ff-htt#: Jl:flt: h=350mm s,Y =1 cl =(1. 5c1t2=( 1. 5 x 400 )112=1. 31 h,V h 350 lLScd s2 li.scd , , , , 001% 04SG308 41 *i.6, 1. 21!-: cx,V =1 *i.6. 1. 22!-itJ: ev =0, * ec,v=l l1,%E:,!-1tf, *i.6.1. 23!-, * C N l 200 l , , ifilj 11 t.J ftejJ cx=0.1 (lr/C1)0.5=0.1(200/400)0.5=0.0707 B =O. 1(dnom/Ci)2=0.1 (20/400)0.2=0. 0549 VRkC =1. 35 d:Om hr Jcu,k C / 5 =1. 35 x 20Q.070J x 2000.0549 x /fO x 4001./1000 =79. 85kN #lft1t k.c=79. 85 x i x 1x1. 31x1 x 1x1. 2 =85. 43kN iit1t VRct,c=85. 43/1. 5=56. 95kN V=40kN, ft_;jt -.ttta-hM1t JtJ -. JfJJ*;ftLlM,fi6M12, #*JfJt:J I h5HJic j ji.m i;,zm. iFf9tl7 Mti3f:h&ffi o/FPlMlil* 1Mtlh#1tJtJ,m iit1tT=30kNm, fhiit1tV=36kN, #7af7f51 c20. J1!f1Jic1f 12mm, 4illja lOOmm, J1!f* UiL1Jic, 1lk*J1!f Ya f!tJJ1!f. 15t*t1L -,ft, *-h 0 1 mtt:h -1T1tJtlr, 1Mt!lh*i0t. ( 5. 3. 5) it#. HM-rt hv1tJtJ r, ;f J1!ftt c1-x lOkN 2 lOkN 3 z 0 . mnmmn&ttm hM#mr. *htt 11S#rit$t: v;i =)(VJ, x)2+ ( v;,y + v;iy )2 Vs1 =h02+(12-10)2 =10. 20kN Vs2 =)102 +lf =15. 60kN Vsi=h02+ ( 12+10)2=24. 20kN=V, 1 - 3 % lfi * $t IK ., h : V, =)(10+10+10 )2+ (2+12+12+10) 2 =46. 86kN 2 tB*it-;gtt:hJ: BZ+HCRM16;#L;ftWJ;f.t, #6. 8, i_jj: la: As.t =108mm A . v =193mm her =85mm, dnom=l6mm lr =85mm, C.;.=80mm, Smin=70mm, Ccr,N =127. 5mm Scr,N=255mm, hmin=l40mm C1 V.:=24. 20kN, Jt 2. 2 5lJt-3ift7JtJ d,C = k.c/ Re, v (0-J:6. 1. 15-1) k.c =VR.c Ac0v clJ,v clJh,V clia,v c4 . vliec,v (i,.J;6. 1. 15-2) Ac,V VRkc=l. 9d.:.h:r/cu,kc5(.:fffjl, ( 6.1.16-2) a=0.1 (lr/C1)o.s=O. l (85/250)5=0. 0583 ( 0-3:6. 1. 16-3) =0. 1(dnom/Ci)2=0.1 (16/250)o.i=O. 0577 ( i,_. J: 6. 1. 16-4 ) 0 0. 0583 0. 0577 ;-; 1. 5 VRk,C =l. 9 x 16 x 85 x J20 x 250 /1000=51. 02kN PT W 4-Wi t3if .I.)t, &IJ 1 -3%Wi:f.t rR 51 ff#.t-3if*13%Wi:it fRjiff#.t3ifo 2. 2. 1 1 -3%Wi:f.t fRjiff#.t3if J1lfl-J3f,h 1. 5c1, .fl.s2 3cdlt, ifilfAc.v#;F . OOit: Ac,v=(3c1 +2s2) h=(3 x 250+2 x 250) x 300=375000mm2 Acv=4. 5c12=4. 5 x 2502 =281250mm2 1. 5 c 1 &p 1ft f Ilt ) 12mm1iJJ, $ fiij ki:JJ lOOmm, :f Jf5l#Jl, iiXJfX.: t!Jre,v=l. 0 ( J!JJJAjJ(6. 1. 23) 250 250 lOkN 3 11 tJ-&t 1J ,.i: . 1JWi ttI L ajt 2. 2. 2 3%11Httt fl5l#kJf3#-t1ii:tf Vs =24. 20kN VR c =51. 02kN Ac =281250mm2 Ac,v =3 x 250 x 300=225000mm2 tjJ s,V=l,tjJ h,V=l.12,tjJ re,V =1. 0, t!Jec,v=l av =24. 4, tiJ a,v=L 08 c #(-0-5 ir.AfrTT 225000 1Jll.ELYRk,c=51. 02X281250x1X1.12X1. 08X1X1 =49. 37kN iitm VRa,c=49. 37 /1. 5=32. 90kN V,=24. 20kN, )ljt J2l)fM16 BZ+HCR:f!L1tfi;fi, llJ:t;-ltfitfL * 11Ht 1t ;)t ;xf ( 51#JIitw)Ii1tti 00 ;1tJJMi) JG J 145-2 013 &g 1$ 0 19tl-t tllJY!$tiM ;tlJ $ 5l#Jltffi_1itllJ:lfi tJ3 j_f ;/JP-ti, it7J fffli )I, tiW400 x 400, 1illl5l#k5iltc25, t/OI 001t% 04SG308 45 it!ft7Jt, .:.:l:hi!, .i$*-JfJHRB400$, .:$8 20, $ 81i1200, 1*1 M Jflt25mm, .iE #ttJfJ IfJJL it JI: tit.t$ Enl 00 *ft, t.t$fJfes= ( 400-86) /2=157mm 5 d=5 x 20=100mm .i$ :liL.lfEc 5 d =l OOmm L= iliN iii.els z,=0. 2 Gsp1dfy /fbct 1 0 0 0 0 1 (6.3.1-1) ( 6. 3. 2 ) 1t*6. 3. 2, 1aspt=l. 0 d=20mm, f y =360N/mm2, f bct=2. 7 ( *6. 3. 3, A)tt) ls=O. 2 x 1. 0 x 20 x 360/2. 7=533mm iliN=ilibriliw ilir JfZ ilibr =l. 15 iliw =l. l, ilir =l. 0 iii N = 1. 15 X 1. 1 X 1. 0= 1. 2 6 5 iii ae = 1. 1 lct =1. 265 x 1. 1 x 533=742mm, Jl)Z lct=750mm 0 .,., II -d 82 .1.:1. 0 0 00 (6.3.4) 111l% 04SG308 46 Witt-% .tJ&(;fti!j,fi HDA-P/PR/PF; HDA-T/TR/TF European technical approval ETA iA iiE (2010-12-17) Witt:ttm 8. 8 lHIXJ:ft, 525 m f=, :f mm, *5t?F:-W ICC-ES report including seismic ESRiAiiE (2012-03-01) fllitt-iA Shockproof fastenings in civil defence installations (2009-10-21) -% MlO Ml2 Ml6 M20 iiE Nuclear power plants (2011-02-16) fl iv!f,t &:1ruH hmio (mm) 180 200 270 350 fZJ Fatigue loading (2011-10-01) iaHLJH do (mm) 20 22 30 37 Fire test report UB iA iiE (2001-01-31) iltRJL1(-P/PF/PR) dt (mm) 12 14 18 22 Assessment report (fire) WFiAiiE (2007-10-26) iltRJL1(-T/TF/TR) dr (mm) 21 23 32 40 fl1:* 1 (mm) 150 210 295 410 fll!li*& h,r (mm) 100 125 190 250 hs fiJJU*& h1 (mm) -107 133 203 266 rav,;/ /,:Jff%z0/d , .,.r /,/I-/;., J.l.Lh ll& 00 fQ A, (mm) 58 84 157 245 ,.,j ,. ,/ ,/ ,/ ,/ / ,/ ,. ,/ ,/ / rl dr 1(tH 2%1 .,%.( I F1=rr, L (mm) 50 80 120 300 W0wzzz%i;: *ffi:l!JJ:E:k& tr;, (mm) 20 50 60 100 m l ?. ;# / / , I / / / / ./ / / ,. ;/,. / / / / r / r / r ; ; ; 00 , ,l , / , , , ,. , , , , , , , m:vz:*ngju NRk (kN) 17 23 50 63 hef tftx m*fJI VRk ( kN) 18 24 50 74 h, mtlitd&n f:iUVm NRk (kN) 31 45 84 128 _,. hm1n m*f1f:gim1m VRk (kN) 18 24 50 74 Herx-J VRdepP(rt-k 2 2 2 2 m1mtt !lli Jf. :illli! Cr. N (mm) 150 190 285 375 1*li&);f 1fli Jf. !BJ li! S,r, N (mm) 300 375 570 750 /J,:illli! 1. *m0tt* ?firntff:tNo Cmin (mm) 80 100 150 200 tB*itf!llf Jli!, www.hilti.com m1m /NBJNE Smin (mm) 100 125 190 250 ff 2. rn r t :f , Wi tt-if:li ilJ ff ?ff :f J!L $ !lli Jf. :illli! Cr, , (mm) 150 190 285 375 3. Wittf-f-&l-mlm.fflJ*, 1J:JL1RWitt JG 160-2004 .llH!JHi *#&mu* BM-0 1fli Jf. !BJ li! Ser, , (mm) 300 375 570 750 47 48 nttt WNlli/H hmin (mm) m Jf.:iftj: Cr, N (mm) M8 MlO M12 M16 M20 M24 M27 M30 110 120 140 170 220 270 300 340 10 12 14 18 24 28 30 35 9 12 14 18 22 26 30 33 80 90 110 125 170 210 240 270 140 160 210 210 340 370 480 540 11 17 24 40 74 93 125 149 7 10 15 29 45 64 139 169 33 52 76 144 225 324 427 519 10 20 40 80 150 200 270 300 2 2 2 2 2 2 2 2 120 135 165 187 255 315 360 405 European technical approval ETAiAUE (2011-06-23) Fire test report UB iA iiE (2004-03-26) Fire test report ZTV-Tunnel UBiAiiE (2003-08-12) Assessment report (fire) WF-AiiE (2007-10-26) r r-,-,-ji-i-;-t-t-t-+-+-1 V-M!OC iJf.jB)j: $ Ser, N (mm) 240 270 330 375 510 630 720 810 li /J :iftj: Cmin (mm) 1. *N*-0mmtt*M m 40 45 55 65 90 120 130 135 t:fhfff 0 ffiit-ff _l7i!. WWW. hi 1t i. COillo 2. Mo (mm) 80 90 110 125 170 210 240 270 iJf.iBJg: Ser, P (mm) 160 180 220 250 340 420 480 540 lta% ftffi1!JJ HIT-RE 500-SD European technical approval ETA iA.iiE (2009-01-12) ltattlffi: 5.8. 8. 8 tiff$, #.tiff$Wl: A4 /FfflWl: WI$ ES report including seismic ESR iA.iiE (2012-02-01) ltB reilWJmJ) iA. Fire test report (2008-01-18) iiE % M8 MlO M l2 M l6 M 20 M24 M27 M30 m Assessm ent report (fire) WF iA. iiE (2008-05-27) f 1HxWififilll h.r (mm) 40 40 48 64 80 96 108 120 shockproof fastenings in civil defence installations BZS :!i1J,tt Jf.ll h.;. (mm) 100 100 100 100 128 152 168 190 iA.iiE (2009-10-21) mtliJ:hUfil 9 13 17 21 36 52 63 73 NRk ( kN) miJ:hUfil 7 12 17 31 49 70 92 112 VRk CkN) mtilili:$X:f1 m 12 19 28 34 53 73 89 107 NRk (kN) m ili:$X:f1 m 7 12 17 31 49 70 92 112 VRk ( kN) H.,m v.d,.:JJ!;JI(;J-* k 2 2 2 2 2 2 2 2 fij 00 $ 1jffi Jf. :iftfil: 60 60 72 96 120 144 162 180 TIE Ccr. 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