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STUDIUL SOLUIILOR CONSTRUCTIVEI PERFORMANELOR STRUCTURALEALE HALELOR UOARE CU STRUCTURA
REALIZAT DIN PROFILE DE OELFORMATE LA RECE
Tez destinat obineriititlului tiinific de doctor inginer
laUniversitatea Politehnica din Timioara
n domeniul INGINERIE CIVILde ctre
Ing. Zsolt NAGY
Conductor tiinific: prof.dr.ing. Dan DubinRefereni tiinifici: prof.dr. ing. Raffaele Landolfo
prof.dr.ing. erban Dimaprof.dr.ing. Victor Gioncu
Ziua susinerii tezei: 09.12.2006
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Seriile Teze de doctorat ale UPT sunt:
1. Automatic 7. Inginerie Electronici Telecomunicaii2. Chimie 8. Inginerie Industrial3. Energetic 9. Inginerie Mecanic4. Ingineria Chimic 10. tiina Calculatoarelor5. Inginerie Civil 11. tiina i Ingineria Materialelor6. Inginerie Electric
Universitatea Politehnica din Timioara a iniiat seriile de mai sus n scopul diseminriiexpertizei, cunotinelor i rezultatelor cercetrilor ntreprinse n cadrul colii doctorale auniversitii. Seriile conin, potrivit H.B.Ex.S Nr. 14 / 14.07.2006, tezele de doctoratsusinute n universitate ncepnd cu 1 octombrie 2006.
Copyright Editura Politehnica Timioara, 2006
Aceast publicaie este supus prevederilor legii dreptului de autor. Multiplicarea acesteipublicaii, n mod integral sau n parte, traducerea, tiprirea, reutilizarea ilustraiilor,expunerea, radiodifuzarea, reproducerea pe microfilme sau n orice alt form este permisnumai cu respectarea prevederilor Legii romne a dreptului de autor n vigoare ipermisiunea pentru utilizare obinut n scris din partea Universitii Politehnica dinTimioara. Toate nclcrile acestor drepturi vor fi penalizate potrivit Legii romne adrepturilor de autor.
Romnia, 300159 Timioara, Bd. Republicii 9,tel. 0256 403823, fax. 0256 403221
e-mail: [email protected]
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PrefaAceast lucrare a fost realizat n cadrul Centrului de Cercetare pentru MecanicaMaterialelor i Sigurana Structurilor (CEMSIG) din cadrul Facultii de Construciii Arhitectur a Universitii "Politehnica" din Timioara. ncercrile experimentalei ntreaga activitate de cercetare efectuat pe parcursul elaborrii tezei au fostrealizate ntr-o mare msur din fonduri private i ntr-o mic msur n cadrulunor programe de cercetare naionale i europene. Autorul mulumete pe aceastcale organizaiei Lindab pentru finanarea ncercrilor i Comisiei Europene iGuvernului Romniei (MEN, CNCSIS, MCT) pentru sprijinul acordat.
Mulumesc pentru introducerea n minunata lume a profilelor cu pereisubiri formate la recei pentru sprijinul acordat de ctre conductorul tiinific, d-lui prof.dr.ing. Dan Dubin, pe parcursul celor apte ani de elaborare a tezei.Deschiderea internaional pe care mi-a oferit-o, prin participarea direct laproiecte de cercetare internaionale i cunoaterea unor personaliti marcante din
ari strintate, i-a lsat cu siguran amprenta asupra acestei lucrri.Sunt onorat de acceptul d-lor prof.dr.ing. Raffaele Landolfo, prof.dr.ing.
Victor Gioncu i prof.dr.ing. erban Dima de a face parte din comisia de doctorat ile mulumesc pentru revizuirea atent a lucrrii i pentru comentariile i sugestiileutile care le-au adus. Mulumesc d-lui prof.dr.ing. Radu Bncil pentru prezidareacomisiei de doctorat.
i voi fi venic recunosctor (i dator) d-lui dr.ing. Aurel Stratan pentrusuportul acordat i vorbele bune n cele mai disperate momente, pentrucomentariile utile i ideile salvatoare. Deasemenea mna de ajutor din partea dr.Viorel Ungureanu este de nepreuit.
ncercrile derulate n laborator erau imposibile de realizat fr o munc deechip: dr. Adrian Ciutina, dr. Ludovic Flp, dr. Iosif Szab, dr. Florea Dinu, dr.Raul Zaharia, Mircea Cristuiu, Nicu Muntean i Adi Dogaru au fost cele mai
valoroase resurse de care puteam dispune.ncercrile la scar real care s-au desfurat n afara laboratorului subcerul liber - mi-au oferit cele mai frumoase clipe de munc n echip: devotamentulunor oameni ca Laureniu Sonia, George Ionescu, Mihaiela Niculae, Adrian Anciu,tefni tefnid, au fost de nepreuit, efortul i priceperea lui dr.ing. AurelStratan, dr. ing. Adrian Ciutina, ing. Nicu Muntean au fost de nenlocuit. Modulcum s-au derulat testele au dat dovad de cel mai nalt profesionalism al echipei derealizatori.
Prietenia i ajutorul reciproc al colegilor prof.dr.ing. Daniel Grecea,conf.dr.ing. Mircea Georgescu, prof. dr. ing. Liviu Gdeanu, prof. dr. ing. ReidarBjorhovde i prof. dr. ing. Reinhold Schuster m-au stimulat continuu.
ncercrile experimentale nu ar fi fost posibile fr sprijinul organizaieiLindab. Le mulumesc pentru sprijinul financiar i suportul acordat.
i nu n ultimul rnd, mulumesc soiei mele va, care m-a ndurat, mi-afost alturi toi aceti ani i care m-a ncurajat i ajutat continuu.
Zsolt NagyTimioara, 2006
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Nagy, Zsolt
STUDIUL SOLUIILOR CONSTRUCTIVE IPERFORMANELOR STRUCTURALE ALE HALELOR UOARECU STRUCTURA REALIZAT DIN PROFILE DE OELFORMATE LA RECE
Teze de doctorat ale UPT, Seria 5, Nr. 3, Editura Politehnica,2006, 188 pagini, 124 figuri, 20 tabele.
ISSN:1842-581X
ISBN (10):973-625-389-9, ISBN (13):978-973-625-389-8
Cuvinte cheie:Cadre portal, profile cu perei subiri formate la rece, nodurisemi-rigide, rigiditate nod, teste monotone, ciclice
Rezumat:Lucrarea analizeaz influena semi-rigiditii nodurilor asuprarspunsului mecanic al structurilor realizate din profile cu pereisubiri formate la rece, alctuite din seciuni C spate-n spate.Analiza pleac de la ncercri exerimentale pe noduri i continucu ncercrile experimentale pe cadre la scar real.Importana configurrii nodurilor asupra comportrii structurilorrealizate din profile cu perei subiri formate la rece a impus oanaliz a caracteristicilor mecanice n termeni de rezisten,rigiditate i ductilitate. S-a evideniat importana considerriisemi-rigiditii nodurilor n analiza structurilor i rezistenelepost-elastice sczute ale acestor tipuri de structuri. S-a artat cmodelul clasic de calculul mbinrilor care accept ipotezacentrului de rotire n centrul de greutate al grupului de uruburi idistribuia liniar a solicitrii pe uruburi n raport cu distana dela centrul de greutate al fiecrui urub nu este ntotdeaunaadevrat. n lucrare snt propuse metode analitice pentrudeterminarea caracteristicilor mecanice i proceduri de proiectareale acestor tipuri de structuri.n lucrare este propus o metodologie de calcul al cadrelormetalice realizate din profile cu perei subiri formate la rece.
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d n o ( l d o l o m l F F F F F F F F F F F F F S
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P F P F P i l n o l o d l o m n F T
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P F P F T l o l n m @ n o m n l l n A F F F F F F F F I U
P F P F U p n o m n l l F F F F F F F F F F F F F F F F F F F F F F F F F I U
P F P F V h l o m o n d o m n l l F F F F F F F F F F F I V
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P F R F I e n j l l z o ( l l o o m l n o n F F F F Q I
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P F S d l d n d o m n F F F F F F F F F F F F F F F F F F F Q V
P F S F I f n n d r n o k @ I W V P A F F F F F F F F F F F F F F F F F F F F F Q V
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P F S F Q u k @ m A F F F F F F F F F F F F F F F F F F F F F F F F F F F R I
P F S F R v m n d x o F F F F F F F F F F F F F F F F F F F F F F F F F F F R I
P F S F S t F f F v m ! t o n i n o l d E o m d l o l m @ d F
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Q F I s n o d F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F R W
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Q F P F Q F I m n d o m X V w P H F T F T F F F F F F F F S S
Q F P F Q F P m n n X V w P H F T F T F F F F F F F F S S
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Q F P F S g l o ( l l o F F F F F F F F F F F F F F S W
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Q F P F U F I l m o n o o n F F F F F F F F F F F F F F F F F F F F F F F T P
Q F P F U F P l l F F F F F F F F F F F F F F F F F F F F F F F F F T T
Q F Q g o n l z l n l o m n l n o d F F F F F F F F F F F F F F T V
4 M e t o d a c o m p o n e n t e l o r 6 9
R F I s n o d F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F T W
R F P e l m o d o m o n n l o F F F F F F F F F F F F F F F F F F F F F F T W
R F Q g o n l z l n l z n m o d o m o n n l o F F F F F F F F F F F F F F U S
5 P r o g r a m e x p e r i m e n t a l p e n t r u s t u d i u l c o m p o r t r i i c a d r e l o r 7 6
S F I s n o d F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F U T
S F P l d l l F F F F F F F F F F F F F F F F F U T
S F Q s n m n F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F U U
S F R m l n l o m n l d F F F F F F F F F F F F F F F F U W
S F R F I I ! n d o o l l F F F F F F F F F F F F F F F U W
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S F R F P P ! n o n l o l l F F F F F F F F U W
S F S i l z l l o o m m o d l n m F F F F F F F F F V H
S F T g o n l z l n l o d F F F F F F F F F F F F F F F F F F F F F F F V S
6 M e t o d o l o g i e d e c a l c u l i p r o i e c t a r e a c a d r e l o r r e a l i z a t e d i n p r o l e c u
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T F I s n o d F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F V T
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U F R e n l z l z o l o o F F F F F F F F F F F F F F F F F F F W Q
A n e x e 9 5
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f F Q l l l m n l o n o m n G n n d F F F F F F F F F F F F F F I H R
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d o m n l l F h o o m l ( n m o d l ! l m o m n l o
n o o o z l ( d d l D l l d o m l n
! n n m j o l o n n o n z l d o E
o F
1 . 1 O b i e c t i v e l e t e z e i d e d o c t o r a t
n d n l l d n l l o o ! d n n E
z l o m n l m n l o n l m o d l n
z n l l n l l o F
n l d o n d D m o n o l m n o E
m n o n l o n m o d l n o n m D o n o m m l z m m n l
n F
I
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P s x y h g i i ! I
n o n n l o z n l o l o n m o E
l o X
! y l n l l l o n d l m n l o l o E
l z d n o ( l d n o l o m l F v m
l n l d n m l @ n o d A l n l l o l @ l A n l
m n l ( n n d l o o F
! l z n o m m n l o n o d n d l
l n o n n l o o m n m l o d d o n ( E
m m n m l o d d o n l n l F
! n l m o d l n m n m d d o m z d n E
( m l o l n ) n z F
! h m n l n l l o m n l n o d l o o m E
z l l m n l o d n l d l F
! o n n o d d o l o l o l o d n o d d E
n l z F
1 . 2 P l a n u l t e z e i d e d o c t o r a t
v o l D d m m z X
C a p i t o l u l 2 n z o m o m n l l l o ( l l o
o m l F n n l z d o o d @ o n d l 8 h n D I W W Q A
d n z o m o m n l l l o ( l l o o m l
n o m o ( l l l m n l l d F
m o d d o n m n l o o m E
m n @ l j l z n n n l o z d l A F e d o E
o d d o n n d n n l l o l l o
n n l n l n l F g o l l P d l z
n l z z m o d l m d l n o n o m d o l E
l o l z d n o ( l o m l o
m l z l l m l o n ! n
n d n l o l d n d o m n F n z n d m n n l o l n l n
n n n m o l m l l n n o
F
C a p i t o l u l 3 z n z l l m n l o n n m d l o m E
o n o d l o d o m ! m n n d G n d ! n o d l o d n !
m n n d G l ! l z n n l l o n ( d l o l z d n o ( l
o m l F n d n l m n l n o d D
n l m d l l d m n @ s m l D
! d n m n m n m l A m o d l d l l
n @ m o n o o n l A F
C a p i t o l u l 4 z n l m o d o m o n n l o z o n l z l o
z l l m n l d n F Q F n m d l z n m o d o l o
d d m n l n l l o m n l n l z d n
o ( l @ d D z n d l A F
C a p i t o l u l 5 z n l d z l l o n l o n z m o d
o m o n n l o d n F R F h n d l n n z l n o d l n m E E
d D m n n o l d o ( o n d l
m n l l n o d l o F n d n l m n l
d o d n l l D o l d l l m E
o d o d o F
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I F P ! v e x v i i s h i h y g y e Q
C a p i t o l u l 6 z n o l d o o n d E
l o m n l l n o d l o F n d d n l n l o n n
l l o d o o d l o d l d n n d l
F S F
C a p i t o l u l 7 l z z l l l o n n n d l z
d n z n l l o n l o l l n o n d o m n F
n n n z l l d l l n l z l o l n E
l o m n l n d l z F
-
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C a p i t o l u l 2
C e r c e t r i s i m i l a r e n d o m e n i u : s i n t e z a
r e z u l t a t e l o r i e v a l u a r e
2 . 1 I n t r o d u c e r e
l z o ( l l o o m l d z o l o n n o l E
l o z n d m l z o l n o o l m d o d o D
n n n l n n o l o l z d n o ( l d o l o n D
o n n l m n l l d n d l l o F
p o m l D n l d D z o l ( z o E m E
n l m l l d z @ l d o l d n o n o ( l l A D n
l o l o l m d D n o m D z n l m l o l l
o ( l l o Y m l n l o o d d l m l l F o o d D
o m l D n l m n D n d o D n d n n z d l d n E
o o D n m m l o l D d d m n o n l m d
F
p o m l n l o n l n z l o ( l l o o m l n d o
m D d o D m o m l d l l o l m n l l d d F
n l o m l d l o m m o n o m D n m D n d
n m o d n o m l d z l m n d l d z n m d
n m l l l m m F n l o ( l l o D d o z l l o
o m o n n D n d l R D l m l D d l Q F n m D l l l E
l o l z d n o ( l n o d n n d o m n l l Y n
n d n o m o n n n l o n d l R D n o n d E
n o m n l d o l o z o m ( l
n n l F p o m l d n l l o l D o l D l o n l D
d o n D o l n l l l o l D d D n n o o n o E
o E D d n d n l ) m j l n z n E o n l
d l m n D n o n n D n d ! n o d ! E
o n l m n l o l o l l o m n G n o o F
g m D d m n o n l o l z d n o ( l
d o m n d l d ( l l o n l o l o
l z d n m n o ( l F
n l z l o d n o ( l d n o l o l o D
n n l D n o l o d m n ( D l l l ( o ( n d n
n m d d l l m n l o l z l o n l m l l F h
l l D l n o l o d m n d D l l l o m n l o
n o n n l n o n n ( n d n n
d d n o n o m F
g o n d n m l l o d n o ( l d o l o E
m l D l l m n l o l D n m l o m D
m o d o l o d l l d m n D o o D n d d E
l m l l F n o n n D n E l o n o m
R
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P F P ! e i g i g e e g i s s g i e v i g s v y h s x y p s v i h i y i v S
d l l o ( F n o m n n o e I H I H V G P E I W V Q !
g o n l D n d l o l F g l l l l m n l o d n o ( l
o m l D o m l x H I P G I W W U ! x o m n l l l l E
m n l o d n o ( l d o l o m l D l n f l n l g o n l o n F
I S G I W W V F x H I P G I W W U o n D n n D d n m l d n o m n
o m n n o n m l D n o m o n i y g y h i Q ! I F Q
@ i x I W W Q E I F Q G P H H Q A F
g o l l d n l z z l l o m o E
l o l z d n o ( l o m l D z n d o m n l d l z
l l l n o n l n d n l o d n d o m n l o n l o n E
l l o n l o m l n z l m l d n d o m n F n
o n o n l z n o m l o n n m o m n l d n
o o o l m l o ( d o l l o l z d n
o ( l o m l F
2 . 2 A s p e c t e c a r a c t e r i s t i c e a l e c o m p o r t r i i , c a l c u l u l u i i
p r o i e c t r i i s t r u c t u r i l o r d i n p r o l e d e o e l c u p e r e i
s u b i r i f o r m a t e l a r e c e
n n l D o ( l l o m l d m o l n j n n d
o n l o @ D P H H H A X
! n o m l D o ( l z n m o d o n o m n m n
z l D n l ( Y
! p o l o o ( l l o o m l m o n o m n n
d d l d Y
! n l o m l o ( l z l n o ( n o
n m o d o m o n o m @ z l o ( l l o D l n l D o (
n n o m l A Y
! h n n d d l D n o l d n l l z n
n l o n l n l o d n o l l d n n l
l D d o o n d m o l o l o z o n l F
g o m l m l d o n m ( l m n l o n l D n
l m n l d n o l o m l o ( d n m o l n j X
! q d Y
! z n d d Y
! p o Y
! w o n j d o Y
! i l m n n l l n z l o l d o m n o l Y
! e o d l l o Y
! g l n o m Y
! i o n o m d n n d d l n o l m n l Y
! s n o m l Y
! x z n n n l l n n l o Y
! n o m l l l F
n l z n z n l l l o m o D
l l l o l o d n o ( l d o l o m l F
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T g i g i s s w s v e i x h y w i x s X s x i e i v e i v y s i e v e i ! P
2 . 2 . 1 M a t e r i a l u l d e b a z
w l l d z d n o ( l n o o n
l n l o F n ( F P F I z n o m
d o d d o l F h o m o d ( m o d l l d l n z l n o
n z l l l o m o d D o ( l l o m l
d n o l l d D o n n d d l m
m F
p P F I X g n o l A l d D A d l
2 . 2 . 2 E f e c t u l t e h n o l o g i e i d e f a b r i c a r e a s u p r a c a r a c t e r i s t i c i l o r m e c a n i c e
o d l d n ) n z n m m n o m l
o ( l l o o m l D n d n o n n n o l m o n n o m o m n l
o F n m l n d D o d l d o n d l m o d ( d
o m o m n o l l F v m n l o n d l o l m d
n o l m d D n o m n m n n o l l o ( l l o l
n n m l F n o l o d l l o n E
m n n m l F i d n D n n z l n l o l m n
l l d D m n l l P F I @ o n d l D I W W V A F
g l m d d o z j l d n d d l d
o l l z F g l m d d o z n o m n l d m n D
d o m o l m n d l d n d d l m l E
l o l l F p P F P z n d o m o m n o l l o n d n d
n o m n F
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P F P ! e i g i g e e g i s s g i e v i g s v y h s x y p s v i h i y i v U
l P F I X g l m d l m d n d o d l d
o ( l l o
o d l d
v m n l
l d
p o m l
v m n
v m d g o l ! d d
s n m ! m o d !
v m d g o l ! d d
s n m ! m o d !
p P F P X s n ) n o l d o m l l o m n
l o l l
l o m d l m d n m l l o ( l l n m l
d n d o F v m d m d d m n j o l l @ P F I A d n n o E
m l o m n n l l l l m n l o d n o l o m l @ x y D I W W U A X
fya = fyb + CN t2(fu
fyb)/Ag < 0.5(fyb + fu) @ P F I A
n X
fyb D fu ! l m l d m l l d z Y t
! o m l Y
Ag ! n Y C
! o ( n d n z n d d m o d l d o m l @ U ! l m n S ! l
m o d A Y
N! n m l n d o l o o z n o m m d S n n
H ! I Q S
n d n l m d n o
( l n o n d d n l m n l n n @ n
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V g i g i s s w s v e i x h y w i x s X s x i e i v e i v y s i e v e i ! P
o l z A F h m n D n l l z n l m n l d
n z o n l o m l l m n l n m n l o m F
n n m l n d o l o l n o n d D d n
n o l l d n n d o m n d o D o l d n o o F
v n n d o m n o o l l j o n o l D n m l n o o d o
l n n l l o o ( l l F
o ( l l l m n l l d n d n n z d l d m m n D
d n z n d d o m n n l o n ) n m n (
o m o m n l d l F h D n n l z d l o n o l
l m m o n n n d o ( l l o l m n l l d n d d
) m j n n o m l d o o n @ i x I W W Q E I E I D I W W P A F
n z l o ( l l o o m l D n n l z d l n n n l d
) o n l D m d m o n z p P F Q D n ) n o o m o E
m n l l l m n m o n d l d m m n D
m n l l P F P @ o n d l D I W V V A F d l D o d l d o m
l n ) n z m m n n l o z d l Y l m n l o d n n
z d l d ) o n l m m d l F
g l d ) m j o n o l l z n d z l m n E
l n o ( l o m l l d @ l m n d A D o n n m n l
m n d n n i o n l o I W T H @ ( n o D I W U H A F e E
z z n n o o m l e o n E n o l d m n
o l o n z o @ o n d l w o D I W U W A F
h o l o l m n l n l o o m l n
d d l l l o o m l l d D l n o n d l d
) m j @ h n D I W W S A F h D d z n l n d m n m o d n m
m n l n o l ( l n m o d o n z o @ h n D P H H I A D n m l o l d o n l z l d ) m j
n o ( l l o m l l d @ i x D I W W Q Y x y D I W W U A F
p P F Q X i d n n n l o z d l d ) o n l
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P F P ! e i g i g e e g i s s g i e v i g s v y h s x y p s v i h i y i v W
l P F P X l n n n n l o z d l n o ( l l d n o l
M e t o d a d e
f a b r i c a i e
L a m i n a r e l a c a l d
F o r m a r e l a r e c e
L a m i n a r e P r e s a r e
n n z d l
m m n @
rm Aw z z
n n z d l
) o n l @
rfA z w z
2 . 2 . 3 P r o b l e m e s p e c i c e d e r e z i s t e n i s t a b i l i t a t e
i l m n l m l o ( l n l d n m o d l n d ) m j X l o l D
d o o n l D l o l F p l m j l l o l o l l o n n l
n l n d l o ( l l d n o l o m l D d l D
F
m n l d ) m j l o l d m n z ) m j l n n o o @ i l A
m ) m j l n n o o E ) m j l l l l n z l o F
p l m j l d o o n l D m z d n m D m o d l d E
d l o o n n d o n n n l F n
z l o ( l l o o m l D z n d l l l o
o ( l l F w m l n m d n d ) m j l d o o n l n n l n
) m j l l o l l n l F g o o n n o m l o m l o E
n l o n l l o ( l l o o m l D l l l l o ( l
n n l n m ) m j l l o l d n o m o m l D ) m j l
d o o n l n m o n F
p l m j l l o l l d o o n l o ( o n d ( n d m o d d ) m j
o n l o n o n n l l l l m o d l o l F @ h n D
I W W T A F
p P F R m o d d ) m j m l n n n @ l A
n o n g o m m F z l l o o n l z n d o n l z d
l l m n ( n F n o n d D d l m o d d d
l d n d d l n m d ) m j D m n p P F S @ r n o k D
I W W V A F
q ( l n p P F S o o n n m n n l z l z n d m E
o d l o ( n d m o d ( o d ) m j n d l n m
d m n d F m l m n m @ n l e A l o l n m d m n d d
T S m m z n o l l o l F o l l o l o n n d o m n m l E
m n l D d l l n d j o n n n l d z d F n l
d o l m n m n n l f l o l n m d m n d d P V H m m F e n
m o d d ) m j d o o n l D d l l n d j o n n n l d z
d D d o d l d n m l n n l F
n n m o l d l D d ) m j m n m m o d
l o l E d o o n l F n n o n z o ) m j l d o o n l o m
m d n n o n z o ) m j l l o l n n l e D d n n d
n o ( l l n m m l z n ) m j l n l l o m E
n D d E d l n E n ) m j l o l D m d
d n E n ) m j d o o n l F
i l m n l d l n l n n o o n o o E E
l l n m d n d m @ n l g D h i A F n l D n n
o n d n p P F S D d l n n o o E n l
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I H g i g i s s w s v e i x h y w i x s X s x i e i v e i v y s i e v e i ! P
p P F R X w o d d ) m j n n o ( l g o m l o m m F w o d
m l X @ A l o l @ v A Y @ A d o o n l @ h A Y @ A n o o @ p A Y @ d A o o n l @ A Y @ A
n o o E @ p A F w o d l @ n n n A X @ A v C h Y @ A p C v Y @ A p
C h Y @ A p C v Y @ j A p C h Y @ k A p C p F
l n m d m n d d o m I V H H m m F v l n m d m n d m m D
) m j l n n o o F v n n d n p I Q D d ( o n l
l r n o k @ I W W V A D n m o d l z o n n l m o d l o F
i l n n n m o d l d ) m j o n l l o l o n n
n l l m n l l m n D o n d n d l o z n n n E
l o o d ) m j @ z o n l n p P F S A F h D d o z n
n n m n l o D n n m o d l o d d l n E
o d n n z l o ( l l o o m l F
p P F T d n d o m o m n n n l m n d n o l E
n o n n l m n d l n m F e z l
d l z l m n n z n F
n m l l m n o o n n n d d
l l n n l f D n d m ( n l m d n
o n l m D
Nu D n n l g D d n d m o o d o m o m n d E l F o l l d m n
d l l n n l n n n l n n l m d F o z
d E l d m n l m o l o n F
n z l n l m n l o n d n E n o ( l m l
D m o d l d ) m j o n l n n n l ( F p l m j l
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P F P ! e i g i g e e g i s s g i e v i g s v y h s x y p s v i h i y i v I I
p P F S X z n n d l n m d m n d n n o ( l g o m m
@ r n o k I W W V A
p P F T X g o m o n o ( l o m m n o n @ A n
@ A
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I P g i g i s s w s v e i x h y w i x s X s x i e i v e i v y s i e v e i ! P
p P F U X g d n o ( l g
p P F V X i l o l d z n
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P F P ! e i g i g e e g i s s g i e v i g s v y h s x y p s v i h i y i v I Q
o n l z d o o m o o E l n o d E
d l m n l D n d n m o d m n ( d F l (
n l o l l n n l D n n n d d l m n l D n d
) m j l o n l n o m n E n m n m l l o l E m l n E
) m j l n l @ h n D P H H H A F p P F U D o n j o l n n l z
n l m n ( n D l m n m l d d l n l m n o m m
@ h n n n D P H H H A F
h D n n d ) m j l o n l n n ) m j l n l D
n o o z o m d l n
n l F
n p P F V o m n l d ) m j n n o ( l g n
o m n D l l n o n o m n o m o n @ i x D I W W Q A D o n d n d
l l n n l @ o n d ) m j l l o l A
l d l n @ z n o d n n n m o d l
o n l l l o l A F
2 . 2 . 4 I n u e n a z v e l t e i i p e r e i l o r : c o n c e p t u l d e l i m e e c a c e
n l o m l z n o l m l o l d l d o z l
m l l o n F p n o m n l d n l l o l l o n E
n l n n n l m d l m l l F n m o m n l l ( n
o m n n n E n o n d d d F
d d o ( m o d l n o n d n d o E
( l l n l o l n l n F e n d n m n (
o n n o n d l m l o ( l l o o m o n n F
n d ( n l m ( d D o l z m l l n l E
m n o m m F h m l D n m o ( l l o m o o l n l
l n D l n n l D l d l d o l l o n d n l n
n l o n d n l n o l d o m n n o m @ p F P F W A
g n d o m n n o m d o l n d o l
cr l l D n d d o l m l ( m n n F p l l o n d n l n z o n n d l o D d o l o D z n o z n
m m l o m n D d z o n l o m d D E
z m F z l o d m d o n z n o d n l m j l o l l n m
D l o m j o z m F n ( n l D l o m j o o n
l m l m l l
fy F o n n d d l l d m l o d n ( F P F I H D d n l o l
n o l n d o l o n d n l D n d ( l m
bef/2 E z n n d z o n ( @ A n F e l D z l o l n m j o
max o n d n o m n l m ( D m d d n ( F P F I I F
d m z n l m l n n n d
max d n l fy F n d m n l m ( bef l n l m l m D l z z i p o t e z a l u i V o n K a r m a n @ o l o n l d l m ( A o n o m
n n
max o n z n d d o m n l o ! D l n n l o n z n d l m ( D d
max = (cr)efF
n d n n l n n d o l l X
cr = k2E
12(1 2)
t
bp
2@ P F P A
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I R g i g i s s w s v e i x h y w i x s X s x i e i v e i v y s i e v e i ! P
p P F W X o l l o o m m
p P F I H X d n n n E n l n o l z
z l X
max = (cr)ef = k2E
12(1 2)
t
bef
2= cr
bp
bef
2@ P F Q A
n d X
k ! o ( n d o l Y E ! m o d l d l Y
! o ( n l l o o n F v l m l m m X
max = (cr)ef
bpbef
2= fy @ P F R A
X
befbp
= =
crfy
@ P F S A
h D o n o m l m l D l m ( (bef) o n n m l n d l m l n o l l (bp) n o ( n d d 1 @ d bef = bp A
-
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P F P ! e i g i g e e g i s s g i e v i g s v y h s x y p s v i h i y i v I S
p P F I I X n ( n o l
n d X
=
crfy
=1
p@ P F T A
p =
fycr
z l d d l F
e m D o ( n l d o l
k l o d n d m o d l m z m l d l o l n l n l l @ o m n D n o o D
o A F e l D m d o r i g i d i z a i @ l z m l d o l
l o n d n l A n e r i g i d i z a i @ l z m o n l l o n d n l A F
z l m l o ( d m n D o o n l ( l n F
2 . 2 . 5 R i g i d i t a t e a l a t o r s i u n e
n l o m l n d l n o n n o d
o o n l d F w l n o d l n m o n o m D n d n l
d n d n l d D m n p P F I P F F
n o d n o o n l n n l
d n F y n n d o d n
n l d o m d o n d l n E o n d D m
n p P F I P F F n o n n D n z l n o o n l l m n
m l l d n l D n m o d o n n D n m d d o m l o
d F h l m m l o D l m n n z l n z l o d g
o d l l l d o l l o n ( n F
n l m n o l l o m n D n n d
n l d o o o ) m j l n n o o ! D l o o n E
o l o n z o d l n n o o D m n
p P F I P F F
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I T g i g i s s w s v e i x h y w i x s X s x i e i v e i v y s i e v e i ! P
p P F I P X h o m d
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P F P ! e i g i g e e g i s s g i e v i g s v y h s x y p s v i h i y i v I U
2 . 2 . 6 S t r i v i r e a l o c a l a i n i m i i ( f e n o m e n u l w e b c r i p p l i n g )
p n o m n l d n m o ( l l o o d n d l n l o o n n
l z m l o o ( o o l m m o n n o ( l l l l o m
l D n d n d m o l X
! n o l m n l o o m l n d n m o d z l d z
l m n l m n n d l o n n l o d o F n m l n
n n l l n o n l n D
l z z o n n z m F
! l l o n l o n l m l n m l o o
n m o d o n m l m m d n z l o ( l l o o m l l d Y
! n m l z n m l l z z n l n Y
! n n l D l m n l n m d n l D n l
n n m o ( l l o m l o n d o o n m z F
e l D n l n d n m F
n m d o o l m d ( l d n n o m o
o ( l l o o m l d D n o m l d l l o n n d l
n o D n o l o n o l n o m n F
2 . 2 . 7 F e n o m e n u l s h e a r l a g
n z l n z l o n o o l l D d o m l o l n n o m l n
l n n d n o m D m d o l x F h o E
l o n n o m l l z n n m m n d l n m D m l
l n m n o l F z l l l d m l o l d l l o
z n n ( F P F I Q m n o z n l o l n F
h o l m l l o n o l o n d D ( l l o n E
d n l l l l l n d o m z l l F h o m ( l o
m m @ n z A ( l n m d d m n n m E l F
p n o m n l n m n z d o o @ l n l m n l z A F
g o o n n n o m n D o l n n o m l n ( l l o n d n l l n l d n d n D n n l F
p P F I Q X h n n l o n o m l l l n z l o n o o
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I V g i g i s s w s v e i x h y w i x s X s x i e i v e i v y s i e v e i ! P
n n l l l l D d ( n o l m ( l n
o n D m m d l m o m o l n
m m
max o n d n o m d F h o m l n n o m o d d o l n d n l
m d l l o n z @ l o A D d l o l d m n o n o m
o l m n n o o d F l z n d n o n m n m l z l o E
l o n D o d ( n o l m ( d l n d o m D d
n n d l m ( l n o n F n n D
l F
x o n d l m ( o n o m n l d n z d o o E
D ( n d d ( n z n o d o d n l s D n l d n m n n m
l o l o n n o m l F p n o m n l o d l l n l l n n D
n l o m m F
o n n d l m ( o n o m n l d n z
d o o D l m ( o n o m n l d o l l o
l z n m n z l l o l n l o m m F
n o n d n n d n n z d o o o l
n z l l l o o m m F
p n o m n l d n z d o o D d ( n n z l l l
n n z n o o D m n n n l l n o l l n d z l
o m n l n n d F
2 . 2 . 8 D u c t i l i t a t e a i c o m p o r t a r e a n d o m e n i u l p l a s t i c
h o ) m j l o n l D d d o n m o l d E
D o ( l l o m l o d o d l d F n n l D n
n l l l n d l m n F e m n o l l m E
o D d n l ( D d o ( l z n o z d
o n o z F g o D n l m n l n o o D n o m l d
o n d o d l z z l o d o n n d o m n l
l D n o n l n n d n n l n l F
o ( l l o m l o ( l z n l l n E
m m o n D d o n ( l m o n d o l o
d D d n l l n d o m n l l n m n F n o E
n m D d n l z l m n o m l D l z z n o
d d
= 1D m d n n o m l d o n m
I H H E W P @ I H H D I W W P A F n n o n n o m o n D i y g y h i V @ i x D I W W V A
d n l m l d d d n o d
o m o
q = 1.5@
q = 1/D
= 0.667A F