TRABALHO SOLIDOS FINAL (1).docx

7/25/2019 TRABALHO SOLIDOS FINAL (1).docx

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UNIVERSIDADE DA REGIO DE JOINVILLE UNIVILLE

DEPARTAMENTO DE ENGENHARIA ENGETEC

FLAMBAGEM DE COLUNAS

DANIELY VATRAS

DIEGO MARCELINO

EVERTON GUIMARES

FELIPPE BECKER

JEUCIMAR PEDRONI

WILLIAN OLIVEIRA

PROFESSOR DR. RENATO CRISTOFOLINIMecnica !" S#$i!"

Joinville, SC

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1

DANIELY VATRAS

DIEGO MARCELINO

EVERTON GUIMARES

FELIPPE BECKER

JEUCIMAR PEDRONI

WILLIAN OLIVEIRA

FLAMBAGEM DE COLUNAS

T%a&a$'! e i"ci($ina

e$a&!%a! c!)! %e*+i"i,!- !&,en/! e n!,a (a%cia$

a i"ci($ina e Mecnica

!" S#$i!"0 ! ,e%cei%!

an! ! c+%"! e

En1en'a%ia e P%!+/!

a Uni2e%"iae a

Re1i/! e J!in2i$$e0 "!&a" !%ien,a3e" !

(%!4e""!% D%. Rena,!

C%i",!4!$ini.

Joinville SC


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LISTA DE ILUSTRA+ES

Fi1+%a ? A($ica/! e ca%1a P e) c!$+na" c!) (in!" e) "+a"e;,%e)iae".............................................................................................Pa1 ?@

Fi1+%a Ba%%a" %1ia" $i1aa" (!% (in! c!)

)!$a...........................................................................................................Pa1 ??

Fi1+%a De,e%)ina/! e c!)(%i)en,! e4e,i2! e) c!$+na c!) +)a

e;,%e)iae en1a",aa e !+,%a $i2%e. ........................................................Pa1 ?

Fi1+%a C!$+na &ien1a",aa "+&)e,ia - +)a ca%1a P. .......................Pa1 ?

Fi1+%a An9$i"e a in4$e;/! e) c!$+na &ien1a",aa. ..............................Pa1 ?

Fi1+%a An9$i"e" ! Le e +)a c!$+na &ien1a",aa a,%a26" e

(!n,!".........................................................................................................Pa1 ?

Fi1+%a H A($ica/! e +)a 4!%a P e) +)a c!$+na c!) +)a e;,%e)iae

en1a",aa e !+,%a a%,ic+$aa......................................................................Pa1 ?H

Fi1+%a An9$i"e e 4!%a" a,+an,e" e) +)a c!$+na c!) +)a e;,%e)iae

en1a",aa e !+,%a a%,ic+$aa......................................................................Pa1 ?H

Fi1+%a C!)(%i)en,! e4e,i2! e 4$a)&a1e) (a%a i2e%"a" "i,+a3e" e

e;,%e)iae................................................................................................Pa1 ?

Fi1+%a ?@ C!)(!%,a)en,! e +)a c!$+na c!) ca%1a e;cen,%ica...........Pa1 ?

Fi1+%a ?? Re"+$,a!" !" ,e",e"..............................................................Pa1 @

Fi1+%a ? Re"+$,a! e ,e",e" e) c!$+na" e a! e",%+,+%a$ c!) a($ica/! e

4!%a

cen,%aa......................................................................................................Pa1

Fi1+%a ? Re"+$,a! e ,e",e" e) c!$+na" e a$+)ni! c!) a($ica/! e 4!%a

cen,%aa......................................................................................................Pa1

Fi1+%a ? Ca%1a" E;c=n,%ica"..................................................................Pa1


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LISTA DE ABREVIATURAS E SIMBOLOS

c% Ten"/! c%i,ica

Ten"/! n!%)a$

A A%ea a "e"/! ,%an"2e%"a$

I M!)en,! e in6%cia

E M!+$! e e$9",iciae

P Ca%1a0 (e"!.

Pc% Ca%1a0 (e"! c%,ic!

K C!n,an,e e$9",ica

De4!%)a/! n! ei;! n+) (!n,! ; a c!$+na

)9; De4!%)a/! )9;i)a n! ei;!

L C!)(%i)en,! a c!$+na

Le C!)(%i)en,! e4e,i2! a c!$+na

M M!)en,! 4$e,!%

e E;cen,%iciae


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SUM-RIO

OBJETIVO....................................................................................................... 7

INTRODU+O..................................................................................................8!#Fl$./$0e. 1e (oln$&.................................................................................9

2#E&3$/ili1$1e 1e e&3%3%$&.............................................................................9

4#F5%.l$ 1e Ele% 6$%$ (oln$& (o. e73%e.i1$1e& $%3i(l$1$&......................12

8#F5%.l$ 1e Ele% 6$%$ (oln$& (o. o3%$& (on1i9:e& 1e e73%e.i1$1e..........13

.? ? ca"!8 C!$+na c!) +)a e;,%e)iae $i2%e................................................13

. ca"!8 C!$+na c!) +a" e;,%e)iae" en1a",aa"...................................14

. ca"!8 C!$+na c!) +)a e;,%e)iae en1a",aa B e +)a a%,ic+$aa A.........16

"#C$%0$ e7(en3%i($* A ;o%.l$ 1$ &e($n3e.......................................................18

# P%o=e3o 1e (oln$& &/.e3i1$& $ ($%%e0$.en3o e7(?n3%i(o..........................23

CONSIDERA+@ES FINAIS..............................................................................25

REFERNCIAS.............................................................................................. 26

OBJETIVO


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E",+! "!&%e a ana$i"e e (%!:e,! e )e)&%!" (%i")9,ic!" 2e%,icai""+(!%,an! ca%1a" a;iai"

O/=e3ivo E&6e(i;i(o

A(%!4+na% *+e",3e" e e",a&i$iae e e",%+,+%a">

De)!n",%a/! a" a($ica3e" !" c9$c+$!" (a%a e,e%)ina/! e ca%1ac%i,ica *+e )an,e) ! e*+i$&%i! e) c!$+na".


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INTRODU+O

E) (%!:e,!" e e",%+,+%a" *+e "e enc!n,%a) inicia$)en,e e) e*+i$&%i!0 !

i)en"i!na)en,! a" ca%1a" a;iai" a($icaa" e) "+a "e/! ,%an"2e%"a$

e2e $e2a% e) c!n,a ! 4en


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!#Fl$./$0e. 1e (oln$&

A e",a&i$iae e +) )!e$! "i)($i4ica!0 c!n"i",in! e +a" &a%%a"

%1ia" c!nec,aa" (!% +) (in! e +)a )!$a0 e "+(!%,an! +)a ca%1a P. N#"

i%e)!" n!,a% *+e0 "e "e+ e*+i$&%i! 6 (e%,+%&a!0 ! "i",e)a %e,!%na%9 a "+a

(!"i/! !%i1ina$ e e*+i$&%i!0 e"e *+e a ca%1a P n/! e;cea a ce%,! 2a$!%

Pc%0 en!)ina! ca%1a c%,ica.

N! en,an,!0 "e P Pc%0 ! "i",e)a i%9 "e e"$!ca% e"e "+a (!"i/!

!%i1ina$ a,6 +)a n!2a (!"i/! e e*+i$&%i!. N!0 (%i)ei%! ca"!0 ! "i",e)a 6 i,!

"e% e",92e$> n! "e1+n!0 6 i,! "e% in",92e$.

2#E&3$/ili1$1e 1e e&3%3%$&

E) +)a c!$+na e",9 $i1aa e) "+a" e;,%e)iae" (!% )ei!" e (in!"0 e

a )e")a 6 e;(!",a a +)a ca%1a P0 e a ,en"/! na "+a "e/! ,%an"2e%"a$ 6 aa

(e$a 4!%)+$a0

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*+e "e 4!% )en!% *+e a ,en"/! a)i""2e$ a) ! )a,e%ia$0 e e4!%)a/!

"!4%ia (e$a c!$+na e",i2e% en,%! a" e"(eci4icaa"0 c!n4!%)e 4!%)+$a>

=PL

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E",a c!$+na e",9 c!%%e,a)en,e i)en"i!naa c!)! )!",%a! na 4i1+%a

?a. Ma"0 "e a ca%1a a($icaa 4!% )ai!% *+e a a)

"+(!%,aa (e$! )a,e%ia$ 2ai!c!%%e% 4$a)&a1e)0 4i1+%a ?&

Fi1+%a ?A($ica/! e ca%1a P e) c!$+na" c!) (in!" e) "+a" e;,%e)iae".

F!n,e8 Bee%

Se c!n"ie%a%)!" +a" &a%%a% $i1aa" (!% +) (in! e +)a )!$a e ,!%/!

c!n",an,e K 0 ! "i",e)a 2ai (e%)anece% e",92ei" "e a" +a" &a%%a" e a" +a"

4!%a" *+e e",/! "en! e;e%cia" "!&%e e$a" P e P (e%)anece%e) e)

e*+i$&%i!0 4i1+%a a. Ca"! ! (in! c!) )!$a Q(!n,! C 2en'a a "e )!2i)en,a% e

4!%)a% +) n1+$! c!) a 2e%,ica$0 (!% ca+"a a" 4!%a" P e P e ! )!)en,! M

4!%)a! (e$! e"$!ca)en,! ! (!n,! C0 e ! )!)en,! 4!%)a! (e$a )!$a *+e

,ene a %e,!%na% a "e+ (!n,! e e*+i$&%i!0 ,e)!"8

Pcr (L2 )sin=k(2)

(!%,an,!0

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*+an! ! "i",e)a e 4!%a P Pc%"e%9 in",92e$ 4i1+%a &. E a""i) a,in1in!

+)a n!2a (!"i/! e e*+i$&%i!0 c!) ! ia1%a)a e c!%(! $i2%e e""a n!2a

(!"i/! c'e1a)!" a +) n!2! n1+$!.

Pcr (L2 )sin=k(2)

%e"+)in! a e*+a/!>

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!ne ! 2a$!% e e)!n",%a a (!"i/! e e*+i$i&%i!.

Fi1+%a Ba%%a" %1ia" $i1aa" (!% (in! c!) )!$a.

F!n,e8 Bee%


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S+(!n! +)a c!$+na (%e"a (!% )ei! e (in!" na" e;,%e)iae" *+e

"/! a%,ic+$a!" e a ca%1a cen,%aa0 a($ica"e a F!%)+$a e E+$e%. Le)&%an!

*+e 6 %a%! e "e enc!n,%a% na (%9,ica.

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E aina (!e)!" ca$c+$a% a e4$e;/! )9;i)a0 "en! e$a +)a

a(%!;i)a/! $inea%8

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+an,! a! )!)en,! e in6%cia e) c!$+na" c!) "e/! ,%an"2e%"a$

*+a%aa0 e2e "e% ca$c+$aa (a%a ! ei;! c!) a )en!% in6%cia.

P!%,an,!0 a ,en"/! c%,ica 6 aa a,%a26" a 4!%)+$a e E+$e%0 %e"+$,an! e)8


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+,i$ia ! )en!% %ai! e 1i%a/! a c!$+na. Sen! *+e ! )en!% %ai! e 1i%a/!

%e",%in1e ! i)en"i!na)en,! a c!$+na.

8#F5%.l$ 1e Ele% 6$%$ (oln$& (o. o3%$& (on1i9:e& 1e e73%e.i1$1e

E;i",e)0 a$6) e c!$+na" &i a%,ic+$aa"0 !+,%a" 4!%)a" e 2nc+$! na"e;,%e)iae". A "e1+i%0 enc!n,%a"e a 4!%)a e e,e%)ina% a ca%1a c%,ica (a%ae""a" !+,%a" c!ni3e" a" c!$+na". One (a%a ! c9$c+$! 6 +,i$ia! !c!)(%i)en,! e4e,i2! Le *+e 6 )!i4ica! e ac!%! c!) ! ,i(! e a a($ica/!.

.? ? ca"!8 C!$+na c!) +)a e;,%e)iae $i2%e

E) +)a e;,%e)iae $i2%e A e +)a c!$+na c!) !+,%a e;,%e)iae

en1a",aa B0 a($ica"e +)a 4!%a P n! (!n,! A0 c!n4!%)e )!",%a! na 4i1+%a

a. O c!)(!%,a)en,! "e a""e)e$'a a! e +)a c!$+na c!) a" e;,%e)iae"

a%,ic+$aa"0 "en! a ca%1a c%,ica ca$c+$aa a )e")a 4!%)a (!% )ei! a

4#%)+$a e E+$e%0 c!n"ie%an! +) c!)(%i)en,! i1+a$ a! !&%! ! %ea$0 !+

"e:a0 L QFi1+%a &. A&ai;! enc!n,%a"e a 4#%)+$a e E+$e% c!) a e2ia

a$,e%a/!8


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!+,%a $i2%e.

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O nice e4e,i2! e e"&e$,e "e%9 ana$i"a!0 ne",e ca"!0 a,%a26" !

c9$c+$! e L%.

. ca"!8 C!$+na c!) +a" e;,%e)iae" en1a",aa"

U)a c!$+na c!) e;,%e)iae" A e B en1a",aa" QFi1+%a 6 "+&)e,ia

a +)a 4!%a P. 9 "i)e,%ia e) %e$a/! a +) ei;! '!%i!n,a$ ;0 *+e (a""a (!%

+) (!n,! )6i!0 c'a)a! (!n,! C0 c!)+) - c!$+na0 ca%%e1a)en,! e a(!i!".

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Qin4$e;/!0 a""i) c!)! a" c!)(!nen,e" '!%i!n,ai" a" %ea3e" e) A e B.

E""e e4ei,! 6 e)!n",%a! na 4i1+%a .

Fi1+%a C!$+na &ien1a",aa "+&)e,ia - +)a ca%1a P.

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Fi1+%a An9$i"e a in4$e;/! e) c!$+na &ien1a",aa.


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F!n,e8 Bee%

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)anei%a *+e a "i)e,%ia en,%e ADC e CEB QFi1+%a a . P!% (!""+%e) )!)en,!

4$e,!% i1+a$ a e%!0 c!)! na" e;,%e)iae"0 !" (!n,!" D e E "/! (!n,!" ein4$e;/! a c!$+na0 (!%,an,! a (a%,e DE a c!$+na (!""+i c!)(!%,a)en,! e

+)a c!$+na &ia%,ic+$aa. Le2an! - c!nc$+"/! e *+e +)a c!$+na &ien1a",aa

(!""+i c!)(%i)en,! e 4$a)&a1e) LeL QFi1+%a & . S+&",i,+in! na

4#%)+$a e E+$e% ,e)!" Pc%8

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Fi1+%a An9$i"e" ! Le e +)a c!$+na &ien1a",aa a,%a26" e (!n,!".

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E na ,en"/! c%,ica8

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A c!$+na e) *+e",/!0 *+e "+(!%,a +)a 4!%a P0 nece""i,a a )!n,a1e)

e %e"!$+/! a e*+a/! i4e%encia$ a $in'a e$9",ica (a%a e,e%)ina/! !

c!)(%i)en,! e 4$a)&a1e) Le0 (a%a en,/! "e%e) ca$c+$aa" a ca%1a c%,ica e

,en"/! c%,ica e",a.

Fi1+%a H A($ica/! e +)a 4!%a P e) +)a c!$+na c!) +)a e;,%e)iae en1a",aa e !+,%a

a%,ic+$aa.

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Fi1+%a An9$i"e e 4!%a" a,+an,e" e) +)a c!$+na c!) +)a e;,%e)iae en1a",aa e !+,%a

a%,ic+$aa.


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A(#" ,!!" !" c9$c+$!" e an9$i"e" nece""9%i!"0 c'e1a"e - c!nc$+"/!

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a&ai;!.

Fi1+%a C!)(%i)en,! e4e,i2! e 4$a)&a1e) (a%a i2e%"a" "i,+a3e" e e;,%e)iae.


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e",a )e")a e",%+,+%a.

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c!$+na" ieia" aina n/! 4!%a) 4a&%icaa". A$6) ! *+e0 a a($ica/! a ca%1a

P n! cen,%!ie 60 (%a,ica)en,e0 i)(!""2e$.

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a 'i(#,e"e e c!$+na" (e%4ei,a)en,e %e,i$nea" !c!%%ia) "!)en,e *+an! P

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N!" ca"!" e) *+e a" ,en"3e" (e%)anea) a&ai;! ! $i)i,e e

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ca%%e1aa" c!) ca%%e1a)en,! e;c=n,%ic!.

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c!$+na nece""i,a "e% (%!:e,aa c!) &a"e e) 4#%)+$a" e)(%ica"0 c!)

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a&ai;! Q4i1+%a ?? a(%e"en,a)"e !" %e"+$,a!" e",e" ,e",e"0 !ne caa (!n,!

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,en"/! e e"c!a)en,! e.

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! )a,e%ia$ e "+a e.

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!" a!" e ,e",e"0 e) ,!a a 1a)a e 2a$!%e" ! nice e e"&e$,e0 4!%a)

e"en2!$2ia" 29%ia" 4#%)+$a" caa *+a$ a($ic92e$ (a%a ce%,! in,e%2a$! e

2a$!%e" e )a,e%iai" i2e%"!"0 "en! *+e e) caa ca"! e2e"e 2e%i4ica% "e a

4#%)+$a e"c!$'ia a($ica"e a! 2a$!% ! nice e e"&e$,e a c!$+na e"c!$'ia.Aina e2e"e ana$i"a% "e a 4#%)+$a 4!%nece i%e,a)en,e ! 2a$!% a ,en"/!

a)i""2e$ (%a c!$+na0 !+ "e !4e%ece ! 2a$!% a ,en"/! c%,ica0 *+an! 6

nece""9%ia a a($ica/! e +) c!e4icien,e e "e1+%ana C.S.

O" ,i(!" e )a,e%iai" )ai" ,e",a!" n! i)en"i!na)en,! e c!$+na"

c!) ca%1a" cen,%aa" "/!0 ! a! e",%+,+%a$ e ! a$+)ni!. A&ai;! "e%/!

a(%e"en,aa" 4#%)+$a" (a%a e""e" )a,e%iai" ,(ic!".

O (%i)ei%! )a,e%ia$ a "e% a(%e"en,a! 6 ! a! e",%+,+%a$0 e "e+ e",+! 6

%ea$ia! e) +a" e,a(a"8

? Enc!n,%a"e (%i)ei%a)en,e +)a c+%2a %e(%e"en,a,i2a a 2a%ia/! e c%

c!) L% Q4i1+%a ?0 !ne n/! "e inc!%(!%a nen'+) c!e4icien,e e "e1+%ana.

Fi1+%a ? Re"+$,a! e ,e",e" e) c!$+na" e a! e",%+,+%a$ c!) a($ica/! e 4!%a cen,%aa.


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F!n,e8 Bee%

One8

AB 6 +) a%c! e (a%9&!$a c!) e*+a/! a 4!%)a8 cr = o k (L/r).

En*+an,! a (a%,e BE (e%,ence - c+%2a e E+$e% BDE0 e4inia (!%8 cr = E /

(L/r).Den!,an!"e (!% Cc ! 2a$!% e L% ,e)"e8

Cc = 2E / e

De2e"e in,%!+i% +) C.S. (a%a a !&,en/! a" 4#%)+$a" 4inai" e

i)en"i!na)en,!0 *+e e4ine) a) c!)! 4+n/! e L%. J9 (a%a L% Z Cc0

*+e 6 ! ca"! a" c!$+na" $!n1a"0 a!,a"e ! C.S. c!n",an,e e 2a$!% ?0.

Cc L/r 2008 !" = cr / C.#. = E / 1$92(L/r)

J9 (a%a c!$+na" c+%,a" e in,e%)ei9%ia" ,e)"e8

C.#. = 5/3 % 3/8 (L/r / Cc 1/8 (L/r / Cc)&

J9 (a%a ! a$+)ni!0 *+e 6 a)($a)en,e +"a! e) e",%+,+%a" !+

c!n",%+/! e )9*+ina"0 ,=)"e ,%=" 4#%)+$a" (a%a "e c'e1a% a! 2a$!% a

,en"/! a)i""2e$ e c!$+na" "+&)e,ia" a ca%%e1a)en,! cen,%a!. A 4i1+%a

a&ai;! Q4i1+%a ? )!",%a a 2a%ia/! a a) c!) L% e4inia (a%a e""a"

4#%)+$a".


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Fi1+%a ? Re"+$,a! e ,e",e" e) c!$+na" e a$+)ni! c!) a($ica/! e 4!%a cen,%aa.

F!n,e8 Bee%

One8

a) c!n",an,e (a%a c!$+na" c+%,a">

Re$a/! $inea% en,%e a) e L% (a%a c!$+na" in,e%)ei9%ia">

E (a%a c!$+na" $!n1a" a 4#%)+$a e E+$e% e4ine a %e$a/! en,%e e""a"

1%anea".

># P%o=e3o 1e (oln$& &/.e3i1$& $ ($%%e0$.en3o e7(?n3%i(o

Pa%a c!$+na" c!) a ca%1a a($icaa e) "+a 9%ea ,%an"2e%"a$ e;c=n,%ica0

!+ "e:a0 4!%a ! cen,%! Q4i1+%a ?0 !ne ! )!)en,! M 6 i1+a$ - ca%1a P *+e

)+$,i($ica a e;cen,%iciae e. Sen! *+e e 6 a i",ncia ! ei;! $!n1i,+ina$

Qei;! a,6 a a/! a 4!%a.

Fi1+%a ? Ca%1a" E;c=n,%ica".


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F!n,e8 Bee%

One a ,en"/! )9;i)a e c!)(%e""/! 6 aa (!%8

mx=P

A+Mc

I

Le)&%an! *+e a ,en"/! )9;i)a n/! e2e "e% )ai!% *+e a ,en"/!

a)i""2e$0 en,/! !&,6)"e8

admP

A+Mc

I

Pa%a ! a(e%4ei!a)en,! ! i)en"i!na)en,! +,i$ia"e a 4!%)+$a a in,e%a/!8

P /Aadm (centrada )

+ Mc /Iadm ( flexo)

1

CONSIDERA+@ES FINAIS


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Ten! e) 2i",a !" a"(ec,!" !&"e%2a!"0 4a"e nece""9%i! *+e "e:a

i)(!%,an,e c!n"ie%a% a in4$+encia ! e4ei,! a 4$a)&a1e) "!&%e c!$+na"

+%an,e ! (%!:e,! e e",%+,+%a" e "i",e)a" )ai" c!)($e;!".

Da! ! e;(!",!0 4ica e2ien,e a nece""iae e +) e",+! a(%!4+na!

"!&%e a" *+e",3e" e e",a&i$iae e) )e)&%!" (%i")a,ic!" e2i! a! e4ei,!

1e%a! (!% ca%1a" a;iai" ne",a" )e")a" e",%+,+%a".


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REFERNCIAS

BEER0 F. P.> JONSTON JR.0 E. R. Re&i&3?n(i$ 1o& .$3e%i$i&. .e. S/!

Pa+$!8 Pea%"!n Ma[%!n0 R

?. IBBELER0 R. C. Re&i&3?n(i$ 1o& .$3e%i$i&. H.e. S/! Pa+$!8 Pea%"!n

P%en,icea$$0 @?@.

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