Constructii Metalice MATEESCU

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"" ~ t ~ / I ) I ' L _- ! '\

Activltatea de prolectare In constructll In general sl In domenlul ...AI 'I t"eonstrncIillor meta1Ice In special este 0 actlvitate complexa, creetoare, Acodemician prof. DAN MATEESCU * Dr. ing. lOAN CARABAIqInerul proiectant trebuind sa .lAplneasea deopotrtva metodele rno-dem.ede caleul :jlide alcatulre a secttunllor ca $1 materialele de eonstruc-

t1l 41 caracteristicile acestora, fUnd mereu preocupat de reducerea con-aumurilor de materiale ~ i spor i rea g radu lu l de s i g u r a n ~ rn exploatare,

,Eficienta tehnlce-econcmlca a unei constructtt este ccndltionata de

ma l multi factori, cum ar fi : calitatea ~ i costul materialelor, nivelul

$Wntific a1 metodelor de ealeul !?i de dimensionare, alcatuirea rattonata

8 ~ I i u n i i o r elementelcr sl subansamblurilor ~ i a ansarnblurilor, tehno- CONSTRUCTII METALICE011& de executie si de montaj.

In Iucrarea de i at a, asa cum dealtfel exprtma $1 t i t lul eartH. sefnstst4 tn special asupra factorilor deftnttt prin metodele de calcul $1 de

dimensionare sl de alca tut rea const ruc tlva a sectjuntlor elementelor

din otel.

Lucrarea euprinde doua piirl i. In prima parte se trateaza probleme CALCULUL $1 PROIECTAREA ELEMENTELOR DIN OTELde calcul ~ i de proieetare a elemen telo r d in c te l realizarte di n produse-

laminate la cald, ia r in partea a doua se trateaza aceleasl probleme in

ceaul clnd elementele stnt realizate din p roduse laminate la eece.

In Iucrare se prezlnta, in mod sistematizat, relattt de calcul tn spiri tul standardelor oficiale valabile in tara noastra.

Av1nd in vedere continutul lucs-ar i! bogat in exemple de calcul,

tndicatii constructive ~ i recomandarl de p ro ie ct ar e, numeroase tabelcetc., lucra rea de fa ta repreztnta un tratat de b aza pentru definirea con

ceptiei de proiectare in constructt l le din otel:;;i se adreseaza unui Iargcere de cititori, ingineri constructori si studenti, care Jst desfA:;;oara aeti

vitatea tn domeniul constructttlor civile, industriale si agricole, a construct i i lor metalice htdrctehnlce .!1i a podurtlcr metalice.

1 ~ ; T t < U C T I I

..•..._._- ,

Redactor: ing. EMIUA ILIE

Tenncredactcr : VALERIU MORARESCU

Coperta # supracoperta : arh. VALERIAN AGALOPOL

(- - .. T ' ~ -. 1 ' 1 · t ~ 1 " - ~

\. ~ _ : ~ 1~ 3 '(lav•

.-_ .. . . . . . -

! e ,10)

B un d e tl.par : 27.11.11180. Coli de tiper : 59,25.C.Z. 624.0lf : 624.04.

Intreprinderea poUgraf1cA "Banat" TirnlfOaraca.lea AiradUluJ m". 1.

(@)ComandaDil". 2t

GEDITURA TEHNICA

• u CUR E $ T I - I' .

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Pr9 faJ f I

Rezullatele aclivi/a/ii in domeniul comtruc/iilor, ca dealtfel lit

toate domeniile aclivita/ii inqineresti, slnt judecate prin eficien/alehnicii $i economicii reolizaiii.

Eiicienia tehnico-economicii a unei constructii este condi/ionatii tk

urmiitorii factori :

- Faclorul "material" inieroine In condi/ionarea eficientei princalitate $i cost.

- Factorul ,,metode de calcul $i de dimemionare" este exprimatprin nivelul $tiin/ific, ieoretic $i experimental, al normelor oficialecare reglementeazii calculul construciiilor,

- Al treileo [actor "alciituirea construciiuii de ansamblu $i de de

ta/iu" este In principal deietminat de nioelul de pregiitire profesionaliia proiectaniilor,

- Faciori i prioind "tehnologia de executie $i de montaj" depintldenivelul de pregiitire al [ortei de muncii $i de dotarea tehnicii a uniti i/ i/or de execuiie si monlaj,

In lucrarea "Comtructii metalice. Calculul $i proiectarea elementelor din oiel", asa cum dealtfel exprimii $i titful cartii, se insistt: Inspecial asupra factori lor: metode de calcul $i de dimemionarea $iolctiiuirea sectiunilor elementelor executate din oiel,

Relatiile de calcul, indicatiile construciioe, recomandiirile de proiectare $i numeroasele exemple ilustrative slnt prezentoie In spiriiulstandardelor oficiale valabile In tara noastrii In momentul de fatii

pentru diferi tele t ipuri de constructi i $ianume:

- metoda dupii stiirile limitii pentru construciiile civile, industriale$i agricole (S TAS 10108/0-78) ;

) - metoda rezistenielor admisibile pentru constructiiie metalicehidrotehnice $i pen tru poduri metalice de cale feratii si de sosea(STAS 1911-75, STAS 1844-75).

In mu/te cazuri, prin exemplele prezentate, s-au realizat comparatii lntre dijeritele moduri de alciituire constructioii (diverse tip uri

...

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• ~ R . I : & I : . n . + . n .

de seciiuni] si de realizare tehnoloqicii (cu sudurii, nituri, ~ u r u b u r i )ceea ce indeamnii pe cititor La rejiectii in priointa aleqerii solutieioptime.

Lucrarea se adreseazii inginerilor constructori in general, in modspecial celor care lucreazii in proieciore cit ~ i siudentilor din [acultii-tile de construetii.

A uiorii exprimli regretul lor prioind absenta din colectiu a pro-fesorului dr. ing. Daniil RO$u. decedai, coaulor a unci lucriiri in acelasidomeniu, apiirutii In anul 1972.

Multumim anticipat acelora care prin suqesiii, obseroatii, /JOr con-tribui la 1m buniitiitirea unei eueniuale noi editii.

Autorii [olosesc aceastii ocazie peniru a multumi Editurii tehnice~ i in mod special Redaciiei de construciii pentru colaborarea colegialiila aceastli reusiiii, precum ~ i tuturor acelora din cadrul Intreprin-derii Poliqrajice .Banat" care au participat la aceastii realizare.

AfJTOfUI

C u p r

PREFATA ..

Partea InlU

Elemente de eonstroeiii dlo olel reallzate din prodose laminate la eald

1. l l .wlale PDtru es:eeutarea coastrDeJIUor metaUce . . . . ••• . • . . • . •• . . • . • . . . • . • . .

1.1. Oteluri utiUzate tn R. S. Remaula pentru ecnrecttonarea constrnctlllormetallce1.1.1. Oleluri de uz general . . . . . • . . . . . • . . . . . . . . . • . . . . . . . . . .1.1.2. oteluri reetsteate la coroziune atmosrerlcl •• . • . ••• . . . . . . . . . . . . . . . •

1.1.3. otelurl cu granulatte llnA pentru c on .t ru c\U s udat e . . . . . . • • . . . .1.1.4. Otehrrr erlogenlce .1.1.5. Oteluri cu llmlta de curgere foarte rldlcati • • . . . . . . . . . . . . . . . . • .

1.1.6. Otehrrr aUate .

1.2. Reeomandiri prlvfnd alegerea caUtAttt materlalelor- · ~ .1.2.1. Materialepentru elemente de construetu din ote! . . . . . . . . . . • • . . . •

1.2.2. Malerlale pentru ImblnArl . • . . . • • • • • • • . . • • • • • • • • • • • • . • • • • • • • • • • •

1 .3. S orUment d e p rodu se f in it e din etet Jolos lt 18 DZInarea constntettllor

melllle.1.3.1. Produse laminate . . . . • . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1.3.2. Elemente de tmblnare • • . • . • . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . • .

1.4. Exemple de alegere a callt i it il matertaluluf , . . . • • . . . . . • • . . . . . . . . . . . • • . . . •

n s

5

19

19192626282828

2932

37

41.898

98

2 . EleIDen1e gener ale de d lmenslonar e a eonst ruet lt tc r d in 0 te l • • . • . . . . • . . . . . • . • . 105

2.]. GeneraUIIII . .. . . .. 1052.1.1. UnltAII de mAsurA 1052.1.2. Metode de calcnl ale constructlUor din etet 1072.1.3. A.pun! lu construett l . . . . . . . . . . . . . .. .. . .. .. . . . . . . . . . .. . .. . . . . . . 1072.1.4. Caracterlsticile acttunllor ,1 matertalelor, .. . . . . . . . . . . . . . . • • • . . . . . . 1262.1.5. Indtcattt generate prlv1nd alcatulrea secttuntielementelorde eenstrue-

III din otel 1292.2. Metoda de calcut dupA starlle Umita 133

2.2.1. Prlnclplile metodel 1332.2.2. Gruparea acttunllcr . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . • 1342.2.3. VerWcarea slgurantet constructlllor dupa metoda stArl.lor IimitA.... 137

2.3. Metoda reeretentetor admfsibUe 149

2.3.1. PrlnclpMmetcdel 149

2.3.2. InclrcArl, actlnnl .. . . . . . .. . . . . . . . .. .. .. . . . . . . . .. .. . . . . . . . . . . ]502.3.3. Verlficarea sJgurantel constructlllor dupa metoda reststentelor adml-

.lbU. 152

2.4. CondltH const ruct ive. . . . . . . . . . . . . . . . . . . . . . . . . . . • . . • • • • . • . . . . 1M

a. B.... IOlieltata fa InllDder. .. . . • • . . . .. . . .. • . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 158

3.1. Elemente de eatcut . . . . . . . • . . .• . • . . . . . . . • . .. . . • . . • . . • . • . • . • . • . • .• • • . . 1583.1.1. Alcltulrea ba rel or soUcltate 18 t nt ln der e . • • • . • • • . • • • • • • • . • . • . • . • 1583.1.2. Dlmenslonarea barelor sollcltate la InUndue centrlcl ,I exeentrici 1593.1.3. SoUdarizarea elementelor Intlnse •• . . . • .• .• .• .• .• .• .••• .• .••••• .• 1&3

3.2. Ex.mpt. d. calcu1 . . . . . .. . . • . . . . . . . • . • . • .. .. • • . • • • .. . . . . .. • .. . . . . • .. 165

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• 8CUPRIiNS CUPIU:!<S 9

4. Bare soneUate 18 eempresfune teouleA ,1 exeeotrlrA . . . . . . . . • . • . • . • • • . • . • . . .

4.1. Elemente de calcut . . • . . . . • . • . . . . . . . . • . . . . . . . . . . . . . . . . . • . . • • . • . . . . . . .

4.1.1. GeneralltA\l . . . . • . • . • • • • • . • . . . . . . . • . • . • • . . . • . . • . • . • • • • • • • • . • . •

".1.2. Dimenslonarea aproxlmatlva a barelor soUci ta te la compreslunecentrlcA

4.1.3. Verlf1carea sectfunff barelcr soUcitate 18 rompreslune centrtc:l. •.•.

4.1.4. gelldertzarea aecttuDilor barelor comprfmate centric . . . . ••• . • . . . . •

4.1.5. vertricarea secthmtl harelcr soUeltate la compreslune eentrrea dtn

tncarcAri repetate

4 t.&. Dlmenslonarca barelor comprlmate excentrte . . . . . . . . . . . . . . . . . . • .

4.2. Exemple de calcul . . . . . . • . • • . .• . . • • . . . . • • . . • • . . .. . . . . . • . . .. . . . • . • . . .

e. Elemente IOUella te 10 rasuelre, • . • . • • • • • . • . • . • . . . • . • • • • • • • . • . . • • • • • • • • . • . • •

5.1. Elemente de cel cu l ........................•..............•••........

5.1.1. Generalttatl . . • • . . • • • . • • • . . . . • . . . . . • . . . • • . . . . . . . . . . . • .

5.1.2. AlcAtuirea secttunu barelOl' IOUc1tate 1& JisUclre ••..•.••• "' • • • . . . . . .

5.1.3. Alegetea se!11unU bare10t aoUcltate la lAsucire lncovoJere-rAsu-eire

5.1.4. Calculul elemerrtefnr sollettate In m.suclre .

5.2. Exemple de calcul . . . • . . • . . • • . . . . . . . . . . . . . . . . . . . . . . . . . • • . . . . . . . . . . . .

e. EleDieJlte soUettate la intovolere • .••••••••• " .

6.1. Elemente de calcnl la grind din otel cu a c e r ~ a ~ ceracterlstlcl mecamee ..601.1. GenerallU\1 • • • • • . . • • • • • • • . • .• • • . . • • • . • . . . • •. . • . • • • . • • • • • . • .. .

&.1.2. AlcA.tuirea grinzilor .cu tnlma pUnA .

6.1.3. Determinares elementelor de ba7.a pentI'U alegerea secpunll .

6.1.4. Alegerea sectluall grinldlor en inhd pUni •• . • . . . . •• . . . . . . . . . . . .

6.1.5. VerU1carea sectlunll gnnzllcr cu inimi pUna . . . . . . . . . . . . . . • . . . . .

6.1.6. Rlgldlzi\rl • • • • • • • • . • • • • • • • • • • • • • • . . • • • • • • . • . . • • • • • • . • • • • • • . . . .

6.1.7. Prlnderi 1mblni\rl la grlnzlle en InimA pllBA••.••••••••••••••..•

6.1.8. Etapele prlnclpale In proleetarea nne! grlnzI en lnimA pllnll • . • . . .

6.1.9. Grind metalice cu golurt in tntma .

(\.2. '£ten'lertte.' de eetcut la grinzl din o ~ e l u r l eu earacteristlei mecanlce dlferite.Grlnzt hlbrlde

6.3. Grind ell inimA pUna pretensionate ..

6.4. Calcutut platelajelor planseelcr din otel .

6.5. Exemple de eateul . . . . . • • . . • . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

7. GriDZl eu dbrele .7.1. Elemente de ealcul •••••••• . •••• . . . . . . . •• . . •• . . . . . . . . . . . . . . . . . . . .

7.1.1. GeneralltA\1 .

7.1.2. A lcatuirea grInzUor cu ziibrele .

7.1.3. Alegerea sistemului grln7.llorcu dbrcle .

7.1.-4. StablUrea dimensiunllor prlnclpale ale grlnzHor ell zabrelc .

7.1.5. Calculul sollcltArllor 1n barele grlnzllor eu zA.bre1e . . • . • . . . . . . . . . .

7.1.6. Dtmenaionarea b81'e1or pinzllor en zAbr. • ••• .•• . . . . . . . ' .

7.1.7. AlcMnlrea II vel'lll.atea gus.dnt • . • • • . • • • . • . . . . . . . • . . . . . . . • . . . . .

7.2. E1eDlple de calcul . • • • • . • • • . . • • . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

194

194

194

19&

230

252

254

254

264

322

322

322

324

327

327

354

401

401401

401

406

42;)

431

462

465

465

465

467

468

471

475

596596

596

596

59g

598

602

611

614

616

.' . R e a 2 ~ e • . . • . . • . . . . . . . . . . . . . . . . . . . . . . . . . . . . . • . . . . " .• 0" ••••••••••••• ' c' " • .•

8 . 1 ~ Elemeate de calcul .

8.1.1. Beazeme simple .

8.1.2. Reazeme fixe (arUculatii) .

8.1.3. Reazeme tncastrate 0 •••••••••••••••

8.2. Exemple de calcut . • • . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0 •••••••••• '.' •••••

Sill. tmblDarea elementeJor meteuee •. 0 •••••••••• 0 ••••••••••••••••• 0 •••••••••••.•

9.1. Elem.ente de caleul • . . • . • . . . . . . . . . . . . . . . • . . . . • . . • . . . . . • • . . . . . . . . . • • . .

9.1.1. GeneraUtA\1 • . • . • . . . . . . . . . . . . . . . . . . . • . • . • • . . . . . . . . . . . . . • . . . . . .

9.1 .2 . tmblnAri en nlturt . . . . . . . . . . . . . . . . . . . . . . . . • • . . . . • . . . . • . . . • . . . .9.1.3. tmblnilr1 en surubur! .

9.1.4. tmbinArt cu sudura -.'

9.2. Exemple de ealcul •....•........................•...........•.......

9.2 .1 . tmblnl i rl en nituri • . . . . . . . . . . . • . . . . . . . . • . . . . . • • . . . . . . . . . . . • . . .

9.2.2. tmbinArt cu suruburf . . . . . . . . .. . . . . . . . . .. . . . . . . • . . .. • . . • • • • • • • •

.9.2.3. tmbinart Cll sudurA -,' . . . .).. . , . . . • • . • • . . • • • • • . . • • . • . • • . . . • • • • • • •

'8I ' lea ....E1emente de eonstrnetli din otel realizate din prom. . din tahl. suhfl'"

formatl! la reee

10 . lIaterlale pentm exeenterea eonstnIcJlllormetallee din prolUedIDtablA sUbtile. • •• •

10.1. Materlale din care ee confecttoneazA elementele de eonatntctll• . . . . . . . . . . .

10.2. Materiale de 1mbtnare . . . . . . . . . . . . . . . . • . . . . . . . . . . . . . • . . . . . . . . . . . . . . • . .

10.2.1. Nitnrl • . • . . . . . . . . . . . . . . . . . '" . . . . • . . . . . . . . . . . . . . . . . . . . . . • • • • • .

10.2.2. Suruburt .

10.2.3. Electrozl ...................................................•

10.2.4. Adedvl •..............................................•....•.

10.3. Sortiment de profile din tabla subtlre .

11. Elemeutegeuerale de dlmensionare. • • • • • • • . • . • . • .• . • • • • • • • • • . . . .• . . . . • • . . •• • •

11.1. GeneralltA,I • • • • . • . • • • • . . . • .• • • • • • • • • • . . • . . . .. . . . . . .. . . . . . .. . . . • . • • • • •

11.2. Celcujut caracterlstlcllor geometrlce eectortete .

11.3. AicAtutrea elementelor de censtruettt ..

11.4. VerilIci\rI generale • . . . . . • • . . • • • . . • • • • . . . . . . . . . • • . • • . . . • . . . . . . . . • • • • • . .

11.4.1. ConditJ1le capacttAtJi portante de exploatare .

11.4.2. Condl\llle de rlgldltate • . • . • . . . . . • • • . . . . . . . . . • . . . . . . . • • • • • • • . . .

11.4.3. ConditiUe constructive .

11.5. ExempJe de ealcul • • • • . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . • . • • • • • •

12. Ejemente sollcitate Ia Intlndere t( 'otrhf .

12.1. Elemente de calenl .

12.2. ExempJe de ealcul . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . .. . . . . . . . . . . . • . . . .

18 . Elemente sollcitate 10eamp restune (,I'otrldi. • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • •

13.1. Elemente de calcul • . . . . . . . . . . . . . . . . . . . . . . . • . . . . • . . . . . • • . . . . . . • . . • • • .

13.1.1. GeneralltA\1 . . . . . . . . . . • . . . . . . . . . . . . . • . . . . . . . . . . • • . . . . • • . . . . • • •

13.1.2. AlcAtulrea Jo alegerea scctlunU .

13.1.3. Verlftearea elementelor e omprlmate c entric .

13.2. Exemple de calcul • .• . . . •• .•••• . . . ••• . .•• .••• . . . • . . • . . . . . • " . . • . . . ••

.0 0

650

651

663

670

681

735

735

735

736

7511

764

779

7711

804

820

867"

867"87()'

87n.

871

872·

872·

873,

874.

874.

875.

881,

881886.

886.

887

887

899.

899.

89g.

901,

901

901

902·

llO3.

910.

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,.--

10 CUPlUNSCuprinsul tabelelor

J

.1

Capitolul 1

Tabelul t.s

"ariPa imll

24

22

.28

29303339

40424647

474950

51525356585960

61

63

66

67

68

70

72

73

74

76

77

78

79

gO

82

Otelu.ri de "Z leDeraJ utlUzate In R.S. RomAnia la uzlnarea construetiller metaUce

t .2. Oteluri rez lsteate la cerezlunea atmosferld. f1 otelurl cu granulatJe

lina utlUzate In R.S. RomAnia la uzinarea conatructUlor m e t a U ~1.3. Llmlta de curgere a o ~ c 1 u r l l o r sudablle pentru dlfer1te .trepte de tee,.

peraturi

1.4. hrnuenta gradulut de dezoxldare asupra eostulut • • • • • • . • • • . . . • • • • •

1.5. Indlcatrl generale prlviud alcgerea calltAtII otelurller .1.6 . ValorUe faetori lor K, S. B . • . • . . . . . • . . . . . . . . . • . ••• . • . • . . . • . •• . . .1.7. Suruburl. Pfullte, Grupe de caracter1stlcl.meeanlce . • . . . • . . . . • • • • . •1.8. RecomandArl prlvtod alegereacaUtltlimater1a1elor de tmbinare

1.9 . Condlt ll f1 oteluri Indicate pentru executarea 'uruburllor . • . • . • . • • . . •1.10. CalltAt\ de e1eclrozl pentru sudare labrlcatlla Clmpla TurzII . • • • . • • •

t ~ l 1 . c a U t i ~ 1 <de electrozl. pentru sudare fabrlcatl la Buzlu . • • • . • • • . . • . . •

1.12. Strme , I f iuxuri peotru sudarea automatA a otelurllor . . . . . . . . . • . • . •1.13. Otel I (Dlmenslun! , mase. mArlml statlce). . . . . • . . . • . . . . • . • . . . . . . . . •1.14. otel I economic (Dtmenslunl, mase, mArlmi staUee) • . • •• . • • . • . • . . . .L1S. O\e1 U (Dlmenstunl male. mlirlml, statlce) . • . • . . • • . • • • • • . • . • • • • . .

1.16. a ~ e l U economic (Dirrensiuni, mase, mllrlml staUce) ••••••.•••••.•

L17. ate! cornier en aripi egale (Dimenslunl, mase, m ~ r l m 1 statlee) .1.18. Ottl cornier eu ar lpl neegale (Dlrrenslunt, mase, mArlmlstatrce) . . . •1.19. otel pAtrot ..1.20. ~ l n a de rulare KP ..

1.21. ~ I n a de r ut ar eUp A . . . . . . . . . • . . . . . . . . . . . . . . . . . . . . . . . . . • . . . . . .

1.22. Otel rotund . . . . . . . . . . . . . • . . . . . . . . . . . . . . . . . . . . . . . . • • . • . . . . • • . . . •

1.23. Tevl din ctel tara sudura laminate la cald . . . . . . . • . . • • . • . • . . . . . . . •

'.24. TevI profUate din otel f:trll sudura. Tevl patrate . . . . . . . . • • . . . • . . . •

1.25. levi profilate d in o te t fAr1 sudurl.. Tevt dreptunghlulare . . . . . . . •••

1.26. BandA de otel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . • •

1.27. Otel lat ..

1.28. P l a t b a n ~ ..

1.29. T . b l ~ f l l ' o a s ~ .

1.30. T a b l ~ g road . Ma,a l anor de t a b l ~ (tg/m) pentru IAtlmea a jI groBl-

mea t

1.31. T o b l ~ striatA .

t.32. TablA ondulatA • • • . . . . • . . .. . • • • . • • . . .. . • • • • . • • • . • . .. . . . • • • • • • • •

1.33. ProWe din tablA .utaU .

1.34. Olel T ..

1.35. Suruburl nepbulfe ..Ueltat. numa! la I I I U o d ~ . Dlm_luni .• .••• .•

1.36. ~ u n t b \ 1 r 1 Deplaulle aoUdtate la forteeare AU InUnden tf teeteeeee.Dlm_un l

Tabelul

Tabelul

irabelul

Tabelnl

TabelulTabelnl

Tabelul

TabelulTabelulTabelul

TabelulTabelulTabelul

Tabelul

Tabelul

Tabelul

Tabelul

TabelulTabelul

Tabelul

Tabe)'11

Tabelul

Tabelul

Tabelul

Tabelul

TabeJul

TabeJuI

Tabelul

Tabelul

TaheJul

Tabelul

Tabetut

Tabelul

Tabelul

Tabelul

'14. E_ U.I.... Ia locovol.... , . , , . , , . . . . . . . . . . . . . . . . . 920

14.1. Elemente de calcul • . . . . • . . . . . . .. . . . . . . . . . . .. . . . . . • . . . . . . .• . . . . . . . . . . 920

14.1.1. A1cilDlrea sectlunllor 920

14..1.2. DlDlenJionarea elementelor solicitate Ia tncovoiere . . . . . . . • . . . . . . . • 920

14.2. Exemple de eereut , 924

"15. E_. teauplI Ie lalOUeltArlaxlale ,I de tneovolere. . . . . . . . . . • • • • . . . . . . . . . . . . . . . 934

15.1. Elemente de ealcul • • . • . . . • . . . . . . . . . . . . . • . . . . . . . . . . . • . . . . . . . . . . . • . . . . ,M

15.1.1. Alcituirea sectfunller 93416.1.2. Verifiearea seettunttor . . . . . . . . . . . . . . . . . • • . . . . . . . . . . . . • . . . . . . . . . . 934

15.2. Exemplu de ealcul . . . • . . . . . . . . . . . . •• . . . . . • . . . • . . . . . . . . . . . • . . . . . . . . . . 936

~ 6 .. IlIIbillareaprelileJor dbi tablA .ubtlre formate I . reee. • . . . . . . . . . . . . . . . . . . . . . . . . . . 939

16.1. E1e te de calcul , . . . . . 939

16.1.1. G UtAti , . . . . . 939

16.1.2. Imbloirl cu nlturl 939

16.1.3. Imbloirl CD suruburl 940

16.1.4. ImblDlri cu s u d u r ~ . . . . . . . . .. . . . . . . . . .. .. . . . . . .. . . . . .. . . .. . .. .. 940

16.2.. Exempln de caleul . • . . . . . . . • . . . . . . . . . • . • . •. . . . . . . . . • . • . • . . . . . . . . . . . . 945

BiiUo,.."r" 947

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r.~ ,;

12• CUPRINSUL TABELELOR UUiPBlHSUL TAR1I'x..-ranw.

13

Capitolul 2

Tabelul 2 .1 . Mdt fm i mecan lce exprtmate tn slstemul 51 .Tabelul 2.2. Denumtrlle st stmboturlle preftxelor ..............• , . . . . . . . . . . • • . .Tabelul 2.3. eniHit i de masura 51 •.........................................

TabeluJ 2.4. Incarcar t permanente. Invelitorl ..............................•..•Tabelul 2.5. Helettl de cal cu l pentru rortete orizontalc aduse de pedurlle rulante ..

Tabelul 2.6. Podurt rulanfe d e u z g en er al . Dlmenstunl "I gabarne. ApAsarea rott -lor, mase "I vlteze de deplasarc a podur tlor

4.15. Ceenctenu de fiambaj (fl. Curba B-34 . . . . . . . . . . . . . . . . . . 205

4.15. Coellden\! de Oallli>aj ~ . Curba C-34 , , :lO8

4.17. Coelielentl de llambo,j ~ . CUrba ..t.-36 , , . . . . . . . . . . . . . . . _4,18. Coellelen\! de Oambaj ~ . Curba B-36 , . . . . . . . . . . 20?4.19. Ceerrctentt de Oambo,j ~ . Cw>ba C-36 ,...................... 2074.20. Coenctentt de Oambaj ~ . Curba ..t.-43 , . . . . . . . . . . . . . . . . . . 2084.21. Coeftdent! de Oambaj ~ . Curba B-43 .. . .. 2tl8

4.22. Coenctentt de Oambo,j ~ . Curba A-47 1014.23. Coellel.n\! de llambo,j ~ . Curba B-47 .. . . . . • . . . . .. .. .. .. 209~ . 2 4 .

Coellclent! de flallli>aj<po

pentru OL 37 lP'Upade .ee\lunl a ,. 2104.25. Coeftelen\! de llallli>o,j <p pentru OL 37 lP'Ul 'a Ite _Dl I1 b '2'.l6

4.25. Coeftdentl de llambaj pentru OL 44 _a d" uttlDll1 a • . . . . . . . tt 14.27.CGelldenti de llallli>aj <p pentru OL 44 ""epa d. ~ a l l i b . , . . . . . . II I4.2&. Coellclen\! de flambo,j pentru OL 52 grupa de sectrunt a •. . ,.". 2124.29. CGellcienti d . llambo,j pentru OL 62 _pa d. aacttunl b • . . . . . • . 212

4.30. CGel10Ientli de prom K "coeIIclentll ......... de gtrall. a."a........ 214

4.31. Valorlle coeliclentllor de zveltet" In fun_tl. 41. -til ~ ; i. iapentru o.eIurI cu R,=23 daN/mm'; R.=24 daN/mm' j R.=26 daN/IlUD • 215

4.32. Valorile coellelen\!lo. de sveltete In tcncne de coelicientU iA; i •• 'En._ t r u OileIarim R,-.21 daN/_" ; J t . ~ 8 4 daN/. . . .·; R ....9&daN,. .l J i I a 19

4.53. Vil1eIlIe_nel""\ftor Ite IVolle'\'e III laDclfO tie iA. i •.pentru oteIurl en R.=43 daN/mm'; R t ==47 daN/DImS 220

4.84. V- .....mclllll.tDer 'lie IYl!lo4e III "''' ' 'l1e de lA. i •." __ ot*lulftl

4.35. Lungtml4" IIllmbo,j. Grinzl co zib.e1e • .. . . . . • .. .. . . . . . . . . .. . . . . 222

4.35. Lungtml de ftamblll. 'Stllpl . . . . . . . . .. .. •• .. •• .. . . . . • • 2224.37. ~ e c t l u n l T obtlnu14 .JlNt tAlarea In douA a QW proW I. D1mODllunl.

_ "'iriml _... 231

4.38. Sec\lUai T CU 1. -1. ob\IAUte priD tiIlere dlnu-un proOl I. DlmODllunl.

__ .. I RMIce. 232

4.39. Sec\!uul compu.e slmplu T. DimODllunl. mllrhal .taUco •••••• . ••• . . 233

4.40. SectJun1 compuae din dona corniere ell aripl egal ' patm Gepirtatl 1 r.MirimiltaUc. 234

4.41. Secllunl co"",use diu douA coraiere cu arlpl neOflaiejMlllndeplrtal .-I J- .MArl.ml slatlce 235

4.42. SectlUJllcompnsedill tIouA cornlere ell aripl neogale pll\ln ""Plrtat. 1r.Mllriml .tallce 236

4,43, SDCtlnnlcompu"" din cleul comleee co aripl egale putln 'CItplUtate<>.MAnmi .lallce 237

4.44. Sectiuni compose din doui. corniere cn arlpi egale putJ.n cieplrtate Jr '

Mlriml alallce 238

4.45. Secliuni compuae d in dOl la prollce ] [. Dlmensiuni. mArlml statlce 239

4.4ll. S..,\Iunl compu.. din donA prollle [ I. DlmODllunl. nulriml atolle" 240

".4'/. Sectiuni compuse din douA prof l le U ,I 0 slnguri platbandA IT.DlaODllunl. molrlml ll1atlce 241

4.48. Sectiun! compuse dublu T. Dimensiunl . martmJ statiee 242

4.49. Secttuni oompule tn forma de n. n, iL Dimenalunl, mlrtm1statlce 244

4.50. CaracterlsUcl sec:torlale pentru sectiun! ell 0 axa de aimetrle ••••• . . . 246

4.M. CoetlcientU k1 lJI ka In ( uD et le de marca otelulul ,,1 coef lcientul dezve1tete 1. 248

4.52. Coeficientul n pentru calculul cocClclentulut A.tr 18 lolldartzarea Cll

z4b<e1ut" 252

Tabelul

84 Tabelul

85 Tabelul

Tabelulg( }Tabelul93Tabelul

g . ~ Tabelul

Tabellll

Tabelul

Tabelul105 Tabelul,og.

Tabelul1lJ6. Tabelul108' Tabelullit} Tabelul

111\T'lbelul

118-Tabelul

122126- Tabelul127127

Tabelul128-1290

Tabelul1341:15 Tabelnl

1:1& Thbelul140

Tabelul

146- Tabelul145

'148-151 Tabelul152 Tabelul152

! 155 TabeluI

IS6- Tabelul

Tabelul

197

1 ~ Tabelu\

19&

200 Tabelul

206- Tabelul

201 Tabelul

201Tabelul

202Tabelul

202

203 Tabelul

203 Tabelul- Tabelul

201>

1.37. Suruburl nepdsulte (grosolane ~ i s emtp recl se ) Masa e lement ej ee de1mbinare

1.38. Suruburl pssutte. Dlmenshmi .,1 mase ......................•..•....

1.39. Surubur t de tnalta reztstenta pretenslonate. Dlmensluni p mase .1.40. Safbe pentru tmbln8rl ell eurubnrt. Dimensiunl • . . . . . . . . . . . . . . • . . . .1.41. Prlncipalli Iumlzort din R.S. Romania de produse .un care s e con tec-

ttoneeza eenstructll metallce

2.7. Actrunea vtntulu! . . . . . . . . . . . . • . . . . . . . . . • . . . . • . • . . • . . . . . . . . . . . . .2.8. IncArdrl date de zApadll .2 .H. Grupe le de runet tona re a podur Jlor rulante : .2.10. Coelideuti dtnamtcl "p "I a pentru calculul grinzUor ellklr de rulare

2.11. Coenctentt de simultaneitate la podurile mlante .2.12. Numarul podurllor rulante prevazute a eetrone llmultan . . . . . . • . . . . .

2.13. Caracterlstlcl Ilzfco-mecanlce ale materlalelor metallce .2.14. Coertctentu 8cpunlior .2.15. Alciituirea gruplrflor de actlunl • . . • . • . • • • . . . . . . . . • • • . . . . • . . • . . . . •

2.16. R e z i s t e n ~ e de calcul pentro otel laminat .2.17. Valonle coefJc1entllor a, It, e pentru calcul la oboseaHi • . . . . . • • . . • . . .2 .18. G rupe )e de crestare a elementelor ~ I ImbinArilor pentru "erlficarea la

eboAeaUI2.19. Coeflclcntii de zveltete admJslbfU Ao •••.••.••••••••••••••.••••••••

2.20. Sageti admisibile fa . • . . . . . . • . • . . . . . . . . . . • . •••. . . • . . . . . . . . . . • . . . . .2.21. Ipoteze de Incarcare ,,1 grupl lr l de actlunl • . • . • . • . . . . . . . . . . . . . . . . . . .

2.22. Coeficientl de slguran1-li • . . . • . . . • . • . . . • • • • • . . . . . . . . . . . . . • • • • • • . • . .2.23. Re7Istente admlstbile pentru calculul elementelor dtn otel Jammat• . . .2.24. Dtmensiunlle minlme ale laminatelor f ol os it e l a confectlenuea con-

structll .... din otel

2.25. Dlstanta mlnlmll: s dlntrc elementele sec1!nnll pentru aslgw-area1DtretlBeril

Tabelul

Tahelul

Tabelut

Tabelul

Tabelul

Tabelul

Tabelul

TabeJul

Tabelul

-TabelulTabelul

Tobelul

Tabelul

TabelulTabeh.:lTabeJulTnbelul

Tabelul

Tabelul

Tabe)ul

Tahelul

'l'abelulTahelul

TabeluJ

Capitolul 4-

Tabelul 4.1. Clas i flcarea sectlunilor transversale pe grope de aecpuni pentro calen·, lu i ]a fl&lIli>o,j

4.2. Cot"f lc1ent i de fiambaj q>. Curba A-23 . . • . . . • • • • . • • ••••• . . . • • . . . . .

4 .3 . Coe fi cl en tl de fiambaj /p. Curba B-23 .

4 .4 . Coe fl cl en ti de flambaj q>. Cnrba C-23 _ .

4 .5 . Coe fi ci en tt de nambaj /p. Curba A-24 ; .

4 .6 . Coe fi ci en tl de flllmbaj /p. Curba B-24 .4 .7 . Coe fi ci en tl de fiambaj /p. Curba C-24 .

4 .8 . Coe fi ct enU de flambaj tp. Curba A-26 .

4.9. Coeficlenti de flambaj /p. Curba D-26 .

4.10. Coef lclent l de nambaj .:p. Curba C-26 . . . . . . • . . . • . . . . . • . . . . . • . . . . .

4.11. Coeflclenti de flambaj .:p. Curba A-29 . . . . . . • . . . . . . . . . . . . . . . . . . . . .

4.12. Coelicienti de Oallli>aj ~ . Curba B-29 ,

4.13. Coeficfentl de flambaj tp. Curba C-29 . . . . • . • . • • • . . . . . . . . . • . . . . . . .

4.14. Coef1c1enti de fiambaj tp. Curba A-34 ..

Tabelul

Tabelu]

Tabelul

Tabelul

Tabelul

Tabelul

Tabp.lul

Tabelul

Tabelul

Tabelul

Tabelul

Tabelul

Tabelul

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n1ir:"-0

14 C'lJPlRNSUL 'L'Al!tE.LJfrr..OR

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CUPRINSUL TABETBlOB 15-

Capllolul S

Tahe1ul 5 .1 . Bare rbudte . Secthmt recomandatc .

Tabelul 5.2. Ccenctentn c II .

Tabelul 5.3. Olel I. MArimi sectcrrarc . .Tahelul 5.4. Ote l U . MArtm1 sectorfalc .

Tabelul 5 .5. caraderl.tiel geemetriee p sectortale pentru eecttunne transversaleceje mal uzuale

Tabelul 5.6. Delormalll ('1') sollcltArI (M", B, MOl) la bare cu perett subtlrl cu

profll slmplu conex 50lidtate la n'isuclTe lJi1,ledtcatl

TabeJul 5.7. Volorlle coeffcJenplor-a b • • • • • • • • • • • . • • • • • • • . • • . . • . • • • • • . . • • •

Cap il ol ul 9

Tabel ul 9 .1. Ot el c orn ie r c n a ri pi I' gul e. Date constructive pentm reallzarea prlnderIlor

TabeIuJ 9.2. Otel co!'I1Jer cn a rlpl net 'gale. Date constructive pentru reallzareaprinrler1Ior

Tabelul

TabelulTabelul

TabelulTabelul

CapUolul

TabeluJTabelul

Tabelul

TabelulTabelul

Tabelul

TabeJul

TabeluJ

TabeInl

Tabelul

Tabelul

Tabelul

TabelllI

Tabelul

Tabelul

Tabelul

TabeluJ

Tabelul

Tabellli

Tabelul

TabeluJTabelulTobE-luI

4.53. CoeficientU C¢ ~ I CII • • • • • • • • • • • • • . • . . . • • . • . • • . • • . . • . . . . . . . • . .

4.54. Valorlle realstentet crttlce Euler .4.55. Valorlle coellclentulul r din retatra (4.48) .4.56. VaJoJ11e coef1clentuJul " pentru ealculnl lui l t ~ .4.57. Valorile coetictentulul k 8 In lunette de 1(' • • . . . . • . • • . . . • . . • • . • . . .

6

ttl. Grind cu 1n4ltJme varlabl11. Forme'" rapoarte recomandate .6.2. Heactfunf, momente tneovoletoare ~ 1 slge1J, la gr1nlJ drepte ce me-

ment de Inerue constant6.3. Grind conUnue cu deschlderi eple. CoeftelentJ WJnk.1er pentru ealcu

lui sollcltirllor M T.6.4. Grind cu Uranll. Relalll de calcul • sollcltArilor • . . • . • . . . . • . • . • . . •

6.5. Grlnda almplll rezematA C11 moment de Ine rt Je cons tant san variabilIncArcatA Cll forte concentrate IRU dJltribulte norma le pe axa grlnz il

6.6. Grind eonUnue eu deeehtder t egale (NumArul deschlderllor>3) . Soli-eltAr1 M. T p rodu se d e un pod rufant

6.7. CoeUclentul a pentru aproxlmarea greutAttl proprfi .

6.8, Coellclenlll II p '" .

&.9. C o e l l c l e n \ l l ~ , II .

6.10. Grlnzl Cll inlma plina. Rapoarte orieniative hl l . • . . . . . . . . • . • •• . .• .

6.11. GrJnzi sudett'. RecomandAri pentrn st8btllrea dlmensiunilor s e c ~ n n i itransversale (conatruct-ll clyne. industrlale ,I agricole)

6.12. Grinzl ludate. Recomandlr i pent ru ltabllfrea dlmensf,uniJor sect-luniitransversale (Constructu metallce h1drotehniee poduri metaliee)

6.13. Grind nituite. RecomandAri pentru ltabiUrea dlmensillnilor sootJuniitransversale

6.14. Rapoarte recomandate tnire tnlUlimea grJnzii p ~ o s i m e a inhnil . . ••

6.15. Grin:zJ compuse. Momente de Inertie lao a le lnJmJ l. . . . . . . . . . . . . • • . •

6.16. Grfnzi compuse. Momente de Iner tie lz. pentru doua pachete de plat.

bande eu Jll.ltmea de 1 em6.17. Grind compuse nltuite. Momente de Inertie lao pelltru 4 col'Tliere cu

arlpl egale6.18. Grind compuse nitnite . Momente de iner tie lz. pentru 4 corn iere en

aripi neegale6.19. Grinzl cu inimll. plina cu sect!une slmetricA. Relati l pentr ll eateuJ la

stabllitate locall1. a Inlmilor (voalare)(L20. Grinzl ell immll. pUnA en sectlune ol'simetrieA. Retatn pentru calcnl 13

stabili tate locaia a iolmti (voalare) .6.21. Coeficientul ko . . . . . . . . . . . . . . . . . . . . • . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

6.22. Coeficientul c . . . . . . • • • • . . . . • . • . . • • • . . . . . . • . . . . . . . . . . . . . . . . . . . . .

6.23. Coeficientul 1] = alla pentru grind cn secUune aimetric9 .

25825926&261263

326

328

329

340

341

345

341f

40:1!

408

416

420

421

422

423

424

425

421>

427

428

429

430

433

434

43&

440

446

44S

451451452

Tabe)uITabelul

TabelulTab_luiTabelul

Tabelu}

Tabetul

TabeluJ

TabelulTabelulTabelul

CapUulul

TabelulTab_luiTabelulTabelul

TabeluJTabelul

TBbelul

Tebelul

Tab_lui

Tab_lui

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Capit61ul

T8belul

Tab_lui

T&belnI

TabeluJ

Tabelnl

Tabelul

Tabelul

Tabelul

TabeJul

TabeJui

1."abelul

6.24. Coeliclentul k, . .6.25. Coellclentul k, .6.26. Coeficleotul k3 •••••••••••••••••••••••••••••••••••••••••.•••••••••

6.27. Coeficlentul kJ ••••••••••••••••••••••••••••••••••••••••••••••••••

6.28. Grind eu Inlma pllna. R c l a ~ i i pentru caleulul la stabilltale localii.(voalare)

t'.29. Relatii pentru calculul reels tenteler entree l a voa la re (crlcr; ' f,r;

CJ"r)6.30. Efortul unltar crit ic de ccmperetfe redus (a t r c._Jj rl') tl coeticlentul

de &igurantA la fJambaj (c,) coreapunzator pentru olelurllr. marc.OL 37 : OL 44, OL 526.31. Grluzi cu InAllime varlabllA. CalculuI sAse\ll •••. . . . .• . . . .• . .••••••

6.32. El<prealile tntegralel IMmdl ..6.33. Grinzl &jurate. Dlmenslunl, marlml statlce . . . . . . . . . . . . . . . . . . . . . . . •

6.34. LAtimea maxima a pIleI ! platelajulul ]a stavlle 1n Iunctle de moduJde rezemare

T

7.1. Grinzi cu zabrele. InAIUml recomandate . . . . . . . . . . . . . . . . . . . . . . . . . •

7.2. Pantele a c o p e r i ~ r l l o r .7.3. Greutatea proprle a fcrmelor .7.4. Greutatea proprle a panelor .7.5. Grind cu zAbreJe lrapezoldale. Relatii pentru calculul sollcitarllor7.6. Grind ell uUJrelf ' trapezoidale en bare supllmentare. Reiatll pentru

ealeulul sollcl_7.7. Grlnzl Cll zAbrele cu tlIp! paralele cu dlagonale tn K. ReIatlJ pmtru.

calculul solicitirllol'7.8. GrInzi cu :r.lIbreIe cu UJpt para le Je cu dfagona le tnc ruct se te . Relat fl

pentru calculul lolicitirUor7.9. Luminitoare dreptunghlulare. Relatll peotru calculul soUcltlrlIor ••••

7.10. Luminatoare In f orma de M. Relat JI pentru calculul80lleitArUor . . .• . .

7.11. Groslmea recomandata a guseelor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . • .

I

8 .1 . Rez ls tente de calcu l a le betonului la cornpreslune . . . . . . . • . . . . . . . . . .

8.2. Rezls tente admisibUe ale betonuJui la compreslune . . . . .• . . . . .• .• .•

8.3. Preslnnes admisibilA pe cuzlne! . . • . . . . . . . . . • . . . . . . . . . . . . . . . • . • • • •

8.4. Aparate de r eazem din ote !. Re1 'i st en te de calcu l . . . . . . . . . . . . • . . . . •

8.5. Plese ate a pa ra te lo r de reazem din fontA. Re zl st ent e de calcul .

8.6. Aparate de reazem. Rerlstf!nte admlslbUe . . . . . . . . . . . . . • . . . . • . . . • . • •

8.7. ValorUe coeflclentUor a r fl U, pentru cakuJuJ p llel lo r de bad. deforma clrcularA.

8.8. ValorIle coeflclentIlor a ; k1 ; k2• pentru calculul bazel s ttipIlor halelorindustriale

8.9. ~ u m b u r l de aDcoraj. Ancorare directA. Elfmfnte constructive ~ i de

ealcul8.10. ~ u r u b i . l r 1 de ancoraj. Ancorare mt'camcA. Elemenle coustrucU"e .. de

caIeul

8.11. CoeficlentU al. all ,I p pentru calcutuJ plAcll de bozA• • • . . . . • . . . . • • • .

452452453453

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455

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606·

607

608609

6Hl

6140

652'

653".

653

657

657

658

668·

674'

676'

671"680,

737"

7390

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