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~1.:::;-r~IVI~~ E3-,C>_ T_E:_ - 2007UFPR 2a. parte: Aço: valor 5 pontos 4. uestão : (2,5 pontos}~:~~~~ eixos dos perfis, de modo I a tomar iguais as resistências nas direções x . e y. b) A carga de cálculo (NRd - compressão) que pode ser í aplicada nessa condição. I 148 m y 900 em x Dados: Aço AR 345 fy = 345 MPa; fu = 485 MPa. Perfis: A = 16 60 crrr': Ix = 635 00 em":9 , , , , rx = 6,18 cm; Iy = 82,00 em"; ry = 2,22 cm ; br= 100 mm; tf = 4,9 mm; tw = 4,~' rnrn. a adote O = 1; perfil Laminado rr 'T7 d = a/2 -:~a= 2.5,7718 = 11,54 clll...""""",,,,,,,,,,,,,~••••••.•,,.,•••,,,,,",,,,, -------------------------------------------~ _________ ~- h -~- I r--=_w=-- - SoLU :PC:>2: ..'~'~.'.'~~ n):~~~fI~~ç~~~~~p~~II~::~~~::~~:~~~~~~~~::~~~:r-~~~~~O:~~9~~~~~?~.:{6:ªº~}~~~~~~~~H~k}!~~~~:~~ [~I~!l!~n.t<?~'!:{\~'_-_~/~:'_(1j_8:?·jl~)!'!'?_=:?~~ l ~ I i:+2.P!<?erj~~~C!~~g~C?f!1_éYJ~~s_~f!1_~o!r:'C?~5!_'L _- - - - - - - _!.. À =1,47 rr. =35,83 > 32,13 _ OK!! I Icom ~= 0,251, na curva c, parâmetro de esbeltez = 1,76 i p ~ fy ~aproximadamente. • ~Ie;nê';t":'f.~':-:till .. ~<i<[i(~1;0:; j ();2:0: : : : : : : : :: Id~I,:a e~~~liêz~~~i';~~<i~';t~:~mtóin;':ª~'!:::::::: Àp=0,55 rr.fE=13,41 > 10,20 - OK!! IÀ = 176.11:. 205000 = 134 78 .~~ I' 345 ' Ç~~i,~g~~i,~~~~~~?~e~nj}~~?:~~~{~~~~.~: ~~: : ~~~: i::~~~:~::::::::~~~~~:~:~~:~:~:::~::~::~:~~~~I i i, = ix = 900/134,78 = 6,68 cm; .I-------------------L------------------------ I!'--:= ?_·_1~,?9-=:~?~1-2-<:f!l- - - - - -4- - - - - -- - - - - - - - ~---- I~v~~~~~~~.:~~'~~;~~~4:3~3~~~~~ ~:: ~~ ~~~~~~~~~~~~~ ~ j!v_== _1A~~,?! _c_1l]_=:=_2_(8_2_-: _1.?}~·9J ---I ~ d_== _~a_i~(J1·j}?1?~/~ --= ?? )~1_6_,§l.=:=_6.!1ª~!Tl. __ --I ~ --------------------------------------------1 (~)~~~l~~-.~}t~f~i~~~~;/~~,:8:~ :,~~~~~ ~:;~~ ~~ : ~ ~tÇ~~~I~~~:~~":~:~-::::--:~:-::::-::~::_) 145,63 345 parâmetro de esbeltez = --- 11: 205000-------------------------------------------__________________ =:.~~9_0_1.? _ tc:: j9!Tl.f!1~9~~=:=_1_4_8!1ºº :'_1,:+?_~1~2 _ c!~ !~b_eJ~::-_f!~f!1~9g~f!1_ ~f!l_t9!r:!~9~_x_-=- _C~!'-'.~9 _ ________ }!~f!1~9g~f!1_ ~f!lJ<?~n.~9~X -=- ~~~~ ~ _ ~~"~~;~:~t-~~'~{l '~/~t~1'(:- . .1. s-,~ tÓ, ;. -,,{ .., 2: ~·R:sE: : t{" ::: 'J4:~ ~.t!.7$ ->\.; 1,;z: {.I',í'5Ao,4 s 1\..,'==~;i~f?:"~Jy4-~JI ,; 1 ~. 'ft:Zr - ~l?~("5 r..("lJ ,,",Õ "}SJ.j • 11I- ' ••••• ,,_ • ,:;:. .' ••• ~\ -:).Í g g:} f '..,a:~.f'! ~ ;í '~~ctÀ,,-'~p""rofut:(J1i na clir~~()da foiç:'4 't4'"':J1.JS ,,' ," "); " , './\ ";';}4:J,:18Jt:r.};~=;55 3'1q'n ' .....•mSIQr QU'P F>C".t!k"ÜO ~, .,,' .•- ~tJiA:f~iv·jir~á~_ ,C'" D5,l', ,- 1j~...,t, -:~,~~ -::2,dr,-1:.2S'~k::: 12~} 'f{':;~Jl'+- ,a.~~=.;Prt,:Sttim (fili~p~â'~} ., 'i' "~:::::J~~,t~1'l!A-9-;2;_.~;.~,'1;2!l ,", .' ',',", ' , . b·-t'~· ~ f=,Qli1,~~~(~.~)~,.;;' -- " __"'._"'~'f~' ._' :~!o/j:)'~..~ 7 '. ~.' ~ ..f'.~J;Etfil}\\!Ó61,ftrJ2 =;jQ:5:9êm ~D1'yJ '\;!!36~~~d'O"f9 ""(11fl--o i9~ l'~-'} ~",i~;~tt~~;.~~~,-: ·1~:1. ~~~,,_. -'~'~§~,:!fn,~-'~.',-- ""'-._-,. . ~ .....~ .._.~.... $1 " ~. ~, .. • ,'- ::"":-:-' - ---:~- ~_.- .• ' J" - ~...•.• _.. 1"'""' - _ . __ o -- """"'13:"v;Jrte: Aço : V2iiO~ .;) pmürJS • ~~:~t1!~2?-_~~.§?\7~.~~E'!~i!~,"';...f~r-r;",:_,~~,á~':_ .~.•.•, .:,0",:' .'; ",,",~',"~~ "'~~~'7'_,",~-': ~'-~_"'_~H •.~.! .~--><.<, -.•••....:0 -~ • 1Dgt~~mi<"';~r:f.l;ns;(, i:.-3:t~de tátt:1JíQ' (comj:)(?:l}$".;'1ó) ~q;},e,t~àg J5Qf' ~plE,(;aA:!,à n~c~~í:im~~c~0'.3sbeRoo J~é;~{T.xist~'Çbf1!I~n~(J t~~~fa!l,;"Í):Bcd1pi,Q?Qcl~.tfi~TI9f ~1'~'~r';""[';";,:"".,,:,t",,"f'lf'> l'~8'~t.,,,,,-..•,~:'F~"~~,'•....'.-(;t:!_ a.1-..;:.,.~\JlU' -~~&;'Y- .~. w~rt:-:l'~. ". ;..,, 'I~·[)ím:f!·i;iM:F~'lNlk'.adas É.!111'lj'tht1L pij}nH LriIDlf'lil;lOO, . . , ,A;=;· ~1,:5d\ln~i~x~20,'IS~ç.rt)~;r",.:='l4~.OOÚFfi: }"~.2,i4Ocm~: •.••=4(~.5ikPiÍ!: . , l .' '" '" ~ '., ~.;;;:.'15,~0rnn') ~~~sa;6mm, :. ... ' i\:R'~~'~'.l' -"Q,as;;:MP-'" t -A &SMe"".\,nÇQ.; .': ..ó-t:"'::'::>' '~[)f-V .~~i:. ',o.a.,.' v"'-'-:.; _,••..a . -~ .p.'.;,~'''' :3~ 4- S- l: , < \~b~te:2:' _ ~k. '''',~~~!~~m;:t ,OO,,~ . .;Íy -=: ~4JW ;;~~ ••-OO<2QO l(;)f~J - - .< __ r i.fM=(UE'!~UJ1i;?:'2i,!J1<'3,,34,.5 i:í ;J'_(N'I3..f<M I.;N ," ~till.:=2r:.\iÍ~.%·;ih.::} ,=22,3l;H;tJ~7:(D;,:J% OS<); 1~~;i~óé:~S8~Ó{ti)';0;, o . ,. ~J\ "';Wt"",~{4~1!j"j~· - 6.76f",,"l, •.•~_J_,'lI}: .- ;.~.,••~ a.>547 ~no, "'.••.•"••-0. ·',0 I ,1' r- Q:, . t .h,':;; ~;;;X3f1º,:i";ts'.Jye,;t;l'~<~'7.19i .•.. " t ••... ; ·~~;}::ttt!·"::'~##n::LM3"9iS'1(:N '" ? . "~ ?~~~.'1,:Á~~''I!;BZi14.,~:", ' .'.' f.~,~ ,,2~l'(·.l_ .11....c:;:::l{(,6:;i;".:3õp7:.9. mm' ':,"" J'JiJfS:' j'1lri;fjtMr~ ;q.." t~~~31~~~lQ';'~~~''~-'\. L ·'0 ;.~ ;:::~H.;~~(t~1~~,.;~"m9J:,O,a6=9fl.1'Oc}n'I '~~.~;~~.;t.,'~.;...'..•..•~....•.JA.·'.6~.·.·.'.·':. D.~~- , :, ~i:;;;;t:'-;-::~-=::·-·-···--.~'> :..,;..;"'••.•=().-e~ :te '.' E ;fl'. . l1iP5000 -: dOlí':::' 'l~~':f!i:111 :; 1'1. . '~b~~~ ~~.çfG;:-~"~ l=OJ1:;:;O ..ná : ~,= UJ)XJ.til,tl.721jf ..l.M;.5 ~ :Z.1)2:l,~.KN ; Í.:r"iz i"Q"n~,X)'",io",.~A6 '~:'1:2 P82.%)o ". ' ..
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