Análise experimental do comportamento cíclico de ligações metálicas entre colunas tubulares e vigas I

Texto

(1)12345677897 5 72

(2) 14 9

(3) 1 72

(4) 45 7 45176 7

(5) 3451672

(6) 74216

(7) 41 7675165 !"#$%#&$'($)*. +,#+!,*-./.-01234.,5678928.:7.;71<232=94>+<0?9?5?2.@239?A1<912.:7.B40?732.C84<12 +,+,-./.D4153:4:7.:7.B9E<1940.7.;71<232=94>.F<9G7809:4:7.:7.B29HI84. JKLMNOP'QR$S'TQ'UQ($(TR$VS'RWTQR*X*R*$!YQU($T$ZW#RQ$ (RT[QR\$($*$WS$'QWTQ$(R\]TQ'*$UTQU#U'[R!S'YU(*$W '*U'$S'YRW^RT['QR($_PS'$'W*$TR('['R\$(S'ZWQ'$'SRQTQ $S'YRQU#U'!T$W(WTQ'U'!SU'(S'(!$T*RWTQ$*$W#Q$ $Y$'\$VR_P`$UQ($TR$a*$TQRQUX($S$'UWSb'QR*$WQcR*$dUUS$'Q$ S'$QbQRS$$QU($'(*'!dUU#WQR\$W$WTQ$YQ$'Y$'\$Q'T['$_ P'UQ($$S'TQ($TY$'W(*U'[RQ'aQR*W$WTQ$e'$Q\$!*$T*URT($e dU$S'ZWQ'$*$TR('($$RTYUTQT$*$WS$'QWTQ$$#(R\$_. fOg5hijNkLlmN. nUT($*$WS'(*$W$UQ'$S'YRWQcR*$!*$UTQU#U'S'TQWUW*$WS$'e QWTQ$Q'UQU'WRYR*o!*$TR('T($U*S*R(((US$'Q'*'VRR!#$W *$WS$'QWTQ$pYV$([R(!pQ$'\$$WSTWTQ$!aW([TQT'QR[p WTUQT\$pQaQR*_ q$TQTQ$!$U\]Q'(R*R$TR(R\$(S'YRQU#U'[RWS'YR#'Q$! *$W$R\$S'YU(*$WS*(VQ'WR(($UR\$$((!$U$*$WSV ([R($cT*R(((*$$RTQ'R$'($S'YRQU#U'!$UQ$'TWe(RST(R$([R($ $S'$*$($((U''V*UQ($W$#'_r$'Q'o]!*$''TQ(RT[QR\$ T$QsW(R'RR($S'Q$U\$(R\$!'UQT($WRTUYR*RsT*R$TX[(*b(Re $'UWTQ'(WaQ$($(TcRS'$U(RWTR$TWTQ$_ tR\$Q'[a(S'YRUW^RT['QR($(*\$$((S'TQe*$W$UW#$ $U\$!S'WRQRT($UQRRo\$(S'YU$_taW(R$!QQRS$(R\$QWUW'o$c[.

(8) 011345678994 83459 7

(9) 48 89 34747

(10) 6 !"#$%&'()*+!*,-+!,!".#!-*/#."!*+*.!.#.0'.!(#,.$% ,1*"..-.*"!+..+,.-!#(*+!.+".1+.#2 34#5*/6789(#"!!.+/,.#!/#.-.#.+*/.$:!+..!"#!-!#(*1+.#!& *"+*".,1',)++.#!*;"*.-.#.+*/.$:!,-+..+..#."0!#.+,!"!& ,."%-.#.+*/.$:!.-.#.(..2<"&!0*=.*,-#>"*.&!!!,.!,*" ?+*,."0)#*."#*1*$:!*/"*(*.*0.&"*!#.".*"0!*/.$%!@-!#*,!".+!A !"0+0*.2B!!>,1*&!..A!#.1.+CD<,*'E"!#".*".+-#+!F'0!+--!A ,!"!+GH!!+.<"#*"I1+.*#!J<EF4<I&0*."!!"0+0*,!"!,. .1#./!,"*(*..!*,!"*".,!"!+*/.$:!,!)+*.&!(#,...+.#/.#.,- !.-+*.$%,'.,-"!"!4#5*/6792 B!!!"K.#.,!"&(*!!"0+0*,-#/#.,.!!".*!@-!#*,!".*=!.+.#!.+& ,1L!*0!.#.!#*M.#,-#.,!"/+1.+"%+*"!.#!!*-!+*/.$:!,!)A +*.&.",-!#(*+!,N*"0!#*&+.=+".!!$%1+.#!.-.#.(.=-+.. !!@#!,*.!.0*/.!-!#(*+!,E&"(#,!,#.,!K!,..O*/282P+/" #!+.!.*"0!*/.$%&#!+.*0.!".*Q+*&%.-#!!"."!!.#*/2 . RSTUVWX4K!,.. + * / .$ %. 0*/. =+".YZY. . [U\]^_T^à`VbcVcde`S_eVcfgc^Sacdh`SeVijikSi_eV [UWVlehmb_Vg`^ành^Si_V P0)#*."(*/#.$:!.*,!":!.+".1+.#!!+!*"..-.#.-#5*- !".*!@-!#*,!".*##!-"!,=0.#*.$%-.#.,'#*.(.#!,.**"(+!"!" !,-#.,!"!##.+o A4-!#.pqr As.#/#.ptqr Au#!!"C*,!""%,1!%r A4(#$.@*.+2 P*,!":!!..#.!#Q*.-!#(*1+.#!!".*!@-!#*,!".*&"*A *"-.#>,!#0.#*)0!*!&%*"*..".I.1!+.82 P.#.!#Q*.!*,!":!-!#(*+!,N&.0*/.!.-+..!-%-.#>,!# (*@!,-#5*-&B.I.1!+.%*"*....#.!#Q*.!.*,!":! -!#(*+!,N2 .

(11) 012335167879 1 3

(12) 27

(13) 7187673 !"#"!##!$"!#"%"&"'"(%#)*+',- "#.%#%%"#"%%#"/%"#"!%%"0'"12"1%# (#345!1%#121#1#(#34"###1#"11#$(#%-678""" %"#"1#1"1#6##34"#9"%"%#"7 :;<=>;?@AB%"&""""%"#".%#" E! ! H4I"3 D 87C D FG FG ).# JKL%!#M N*QP+ + PPQ R 84 84 N*QS+ P P S Q NON +Q N*QSP T PPQ R N N*+P+ S PSQ 84 TQQU8 N*PS+ :;<=>;?VAB%"&""%"#(#34!#9"." XW## P 2! W! E! ! D 8 FG FGFGFGFGJKL%!#M 2FG FG RS YQ +RS +S +S )*+ +SS S VZV??[\]^_^à]b?c=?=db;`]? """4#"121#'!1#"#!#"+S"""1#"#* #"%#.#'###e#(#34!##1""##f1""7 )121#g"#'#3#!#""NPhS'!%"1$1#"!W##" 2#%e"##"#1##!###!i1#1"#####1"#5!W## #6(#7 )6(#!"%#1jDIQQ!!W##"##'#!#""""L%!# NSS'#2#"!##""L%!#5.4FGi1#%!###"!##!1%# 7 "##1""!#"'##%W"kPT'"4#!#""""L%!#+Q7Y7 )l(7P"##(1%"%"""%"#7 . m`nZ?VA)""""%"# . .

(14) 011345678994 83459 7

(15) 48 89 34747

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`20,+J2 41.+,-./0.

(17) 012335167879 1 3

(18) 27

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`+)1-5/0+:*-K00M. 78 788 8 8 <8 <788 <78 89700h)i89R00h)i89L00h) VWXYH)*./*E=2/4+5/..+=/0+:*-. . N-./06*2123/4-)+@*+:)P0+*.-)A/.//?/12/.-+)*/4-4+*+:)Q-+0A-:*-))2=:2,25/*2?-)4+*-4/ /12=/BQ-9:/5-16:/+:-A+.,21+0Z9+*/0FE0A/./4+*+.02:/./*+:)Q-4+*./BQ-:-)A/./,6< )-)95-:,-.0+216)*./4-:/N2=CT/C [./:)46*-.+)4+4+)1-5/0+:*-),-./06)/4-)A/.//?/12/./.-*/BQ-4+*-4-)-)5-0A-:+:*+) 4/12=/BQ-+A/./0+42.-)4+)1-5/0+:*-)+0A-:*-)<5\/?+4+*-4//+)*.6*6./9+)*./*+=25/0+:*+ 5-1-5/4-)4+/5-.4-5-0-+);6+0/4/N2=CTFC NbD NaD. /]H@*+:)P0+*.-) F][./:)46*-.+)4+4+)1-5/0+:*-) VW^Y_1/:-)4-)42)A-)2*2?-)4+0+42BQ-94-)+@*+:)P0+*.-)+4-)*./:)46*-.+)4+4+)1-5/0+:*-) fg. . c!d. Vde. .

(20) 011345678994 83459 7

(21) 48 89 . 34747

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àW^X_b`.^XaàW5-6.P>=Q5AR.--B>Q54>=.-2>S.=P4;.QT9 c5--4<05AR.->S>-<5-W35->-6>-S=><[<4S>-^X_ba.^X`baW5-3U5S5-65-P53.-653>;025-B> 5/0.;5-/0.Q54>=.-6.P>=Q5AR.-S;Y-<435-.V46.2345Q9c57489d-B>V4-CV.4-5-6.P>=Q5AR.- S;Y-<435-2>-.;.Q.2<>-9 . . . . D"E%eGf.P>=Q5AR.-S;Y-<435-2>-.;.Q.2<>- . . . . g2P;0.23456>-S.;5=4846.@6>-.;.Q.2<>->-Q>6>-6.=0<0=5V.=4P4356>--B>64P.=.2<.-.64V.=X -4P4356>-W3>2P>=Q.-.S>6.>Z-.=V5=257489hW<.26>X-.46.2<4P4356>5--.8042<.-S=4234S54- P>=Q5-i ,X,==5235Q.2<>6>-3>=6R.-6.->;6560=5655;Q53>Q>Z52@>6>S.=P4;.QTj kX,==5235Q.2<>6>-3>=6R.-6.->;6560=56>-Z52@>-6>S.=P4;.QT3>Q5P53.653>;025j lXm>QS4Q.2<>653U5S565P53.653>;025j fXn-3>==.85Q.2<>65S>=352>S5=5P0->3>Q5;4-5Q.2<>65S5=<.=>-35659 .

(23) 012335167879 1 3

(24) 27

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`_5a\`bX`\3cd` E#e(S1B@L#.)!#"&!#)#-+#*",#J(!G!(*#++)!?!#TLH %!(#*+&*#+)!+()!#)"!&*#+)!:BH()!(-(*#)#e(S1 fH+F"#,#&("#!#TL!!#&#&(S#TLH+(#&#!(,#+)!#(K#*&")#1$ *",#J(!G!(*##.)!#+,#&++)!?!#TL#!G#-()#&*(*&g@++H )L()*&"(),#&.##*(*&BA@++H,(h!"#!,(-(*##)! !*(*&+F"#!.!/!(.1 $)#&(#)#*",#J(!G!(*#HG,()!#(-)T#(S(P./&i!(*#S&%#&)! (,.!/!(.H,(##(-)!&+)!#&(S#TLF"L+%(&(P#+*## *#1j.!/!(.>?BABH)F"#&#*&")#G.)*J(#*+%!LH#.)!#+#((S(PH #*)!i(.!/!(.>?@DBH*+#*&")#.#+#(&#S"#+)."#1 E#<#%&#kL()(*#,#&#*#S#+iK(+#).(**##*(*&f@g@++1 . .

(26) 011345678994 83459 7

(27) 48 89 . 34747

(28) 6. . . . . . . . . . /,1+02%0+'3405'(6*7'38,( !"#$%&'()*(+,%-+*.'(/0. .

(29) . 012335167879 1 3

(30) 27

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

(32) 011345678994 83459 7

(33) 48 89 34747

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àbcMHdeMGfFKN [.#1+!.#-!#/"Y"'!.#ghiXj?k#!+#.'!(.+1A1&#!.01.!R(!#"A#. '#!###A!(/#$%.'!+6+('.,.#(> lh,->mn1("#!o(/,+'&#/=,/(#.01"#5p<#'!.,+#,#g(->U> qMrMasGHdbKN tujXv;h1!/6(-UOX#!+>wOxX!^+&(-#$@.y;h?zzU88w;:> t:u{#.'#+{>X>;X(+!#'!+.#T>;|},#,~>;1..h>;~&(,2#""!i>TjhTki'!+ 9X8Z9OxR&'",+#g1&&T ,.(.+,+.(-,''!#/2! &+#,|& {(,+.(,1(&(,-g!#".#,k!1...A+,7+&V"A!.V# &&#,! [',7/+(,.y;''&(/#+(,+2T "',,+V+2;o8X!#/+(/#&n1(&(,.;:9> tUujXv;h1!/6(-UOX#!+>Oxi-!#.-!#(.!-!#.'#!#( /(.y;h?zzU88;:> tZuhTT7;xi/"",k.+(,-X!/1!!....(,-+22#R(1!7+!1/+1!#& 7+&h&",+.1,!T}/&(/ #.y;hTT7?>Z9;zw\> .

(35)