elementos de máquinas_sarkism_cap14_transmissãocorrente

5/10/2018 Elementos de M quinas_SarkisM_Cap14_Transmiss oCorrente

'4 . 1 - APLlCA~6ES'Cs Io ca is e m q ue u an sm l s s o e s p or m eio d e e ng re na ge ns o u c orre ias na o s eja m p os siv eis .:)Jando houve r a necess id ade de ac ionam ento de va r ie s e ixo s po r um un lco e ixo m oto r. N esse ca so , to rna -se:: efL rld am e nta l im p or ta nc ia qu e to da s a s ro da s d en ta da s oenencam a um m esm o p lano .

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I

14.2 - T ,pos DE CORRENTE14.2. I - CORRENTES DE ROLOS- ro da d enta da

; '. : u c h a

: - : 3 1 a

--3nsmissoes por Corrente (DIN 8180) ------------------;


: .. - ~ tro do ro lo [m m ]S - e spe ss u ra [m m]t - p as so d a c orre nte [m m ]b z - l a r g u r adoden te [mm]b : - la rg u ra in te rnada co rren te [m m ]b - la rg u ra e x te rn a da co rren te [m m ]d B - d l ame t r o c op i n o jmm ]~ - d ia me tro da bu ch a[m m ]

1 4.2 .2 - CORRENTES DE BUCHASS ao c orre nte s c ons titu id as d e b uc ha s e p ino s, s up orta m m ais c arg a, p ore rn s e d es ga sta m c om m aio r fa cilid ad e.Emq u e :t - p a sso da co rren teb a - la rg ur a d a c o rre nte

1 4.2 .3 - CORRENTES DE DENTESN e ss es tip os d e c orre nte , a s ta la s s e d is p6 em s ob re o s ro lo s, p od en do c on stru ir c orre nte s m a is la rg as .

1 4.2 .4 - CORRENTES COM ELOS FUND/DOSD e ap lica cao rud im enta r , sa o u tiliza d a s em ba ix a s ve lo c id ades (v < 2 m l s ) , a pa re c em com fre quenc ia emrn aq uina s a grfc ola s, c ons is tin do e m e lo s fu nd id os e m fo rm a d e c orre nte s c om p in os d e a co ,

d i 2 9 0 ) s Elementos de Maquinas


14.3 - RODAS DENTADAS PARACORRENTESE m q ue :D iam e tro p r lm itv o : d = _ t -o se na'11a s a = 180 / z d = to se n180 /z

jiam e tro d e ba se : d g = do CO Sajiam etro in te rno : d f = d o -1 ,01d rp rc urs o d o ro lo n o e ng re na m en to d o e lo d a co rre nte .E sp es su ra a xia l d o d en te (m e did a d o p rim itiv o) = 0 ,9 5b - 0,2 5 drE m q u e :b - la rg u ra in te rna d a co rre n te [m m j~ - d ia m etro do ro lo [m m j - espessu r aax i a l [mm jd ia m etro ex te rn o: d k = do + 0 ,7d r (z < 12 )

d k =do +0 , 83d r( 12


'4.5.2 -NUMERO MiNIMO DE DENTESA u tiliza cao de um nu rne ro reduz id o de dente s na eng renagem m enor d im inu i a v id a da co rren te e aum entasens ive lmente 0 ru id o. P a ra q ue n ao o co rr a e ss e in co ve nie nte , u tiliz a-s e a ta be la s eg uin te , q ue d et erm in a 0 nurne rod e d en tes d a eng re na ge m m eno r p or m eio da re la ca o d e tra ns mis sa o,

Ta be la 1T ip o d e C o rr en te R e la ~ o d e T ra n sr nis sa o

2 3 4 5 6 n sC o r re n te d e r o lo s 3 1 2 7 2 5 2 3 2 1 1 7 kCo r r en t e s i le n c i o s a 4 0 3 5 3 1 2 7 2 3 1 9 b

N um eto m in im a d e d en te s:corren tes de ro los - Z m in ~ 9

co rren tess ilen ciosa s - Z m in ~ 1 3 N um ero m ax im o d e d en tes :

corren tes d e ro los - Z m a x : : : ; 1 2 0co rren tes s ilenc iosas - Z m a x s 1 4 0

Passo da CorrenteQ u a nt o m e n or fo r 0 p as so , m elh or p ara a tra ns rn ls sa o (c ho qu es , to rc a c en trifu ga e a tr ito ) q ue te m d im inu id a a s uain tens id ade . 0 nurne ro de den te s da eng renagem e 0 pa ss o d a c orre nte lim ita m a ro tac ao d a e ng re na ge m m eno r.Correntes DentadasA ro ta cao m ax im a do p inhao pa ra 0 p as so c orre sp ond en te s era :

Tabe la21 / 2 " 1" 1 1 / 4 "/ 8 " 3 / 4 "as s e3 3 0 0 2 6 5 0 2 2 0 0 1 6 5 0 1 3 0 0pm m a x

A v elo cid ad e p en te rlc a n ao p od e e xc ed er o s lim ite s s eg uin te s:co rren te s de ro los - v p = 1 2 m /sc orre nte s d en ta da s - v p = 16 m /s

Carga Maxima na CorrenteC :re f1 te d e ro lo s:

F r u pF . =-m ax n . ks----------------------- Elementos de Maquinas

k( l) -k ( l) -k ( l) -

kpo -kpo -


: :" '- rr e n te den tada :Fru p bF =_.;___m a x 10.n.ks

~que :;:m- ca rga m axim a que deve a tu a r na co rrente [N ]: : 1 - c arg a d e ru ptu ra d a c orre nte (p ara c orre nte s d enta da s e a c arg a d e ru ptu ra a tu ante e m 1 0 m m d a la rg ura ) [N ]

- c oe fic ie nte d e s eg ura ny a [a dim e ns io na l]- f at ord e o pe ra ca o [ ad im e ns io na l]la rg ura d ac orre nte [m m ]

Tabe la 3 C oe fic ie n te s de se gu ra nya nsRPM d a E n g re n a gem M e n o rP a s s o 50 200 40 0 600 SOO 1000 12 00 16 00 2000

Co r . d e r o l os 1 /2 ' - 5/S ' 7 ,0 7 ,S S ,6 9 ,4 10 ,2 11 ,0 11 ,7 13 ,2 14 ,S3 /4 "-1 /4 " 7 ,0 S ,2 9 ,4 10 ,3 11 ,7 12 ,9 14 ,0 16 .311 / 4 " -11 / 2" 7 ,0 S ,6 10 ,2 13 ,2 14 ,S 16 ,3 19 ,5Co r .O enta da s 1 /2 ' - 5 /S ' 2 0 ,0 22 ,2 2 4 ,4 2S ,7 29 ,0 31 ,0 33 ,4 37 ,S 42 ,03 /4 "-1 /4 " 2 0 ,0 23 ,4 26 ,7 30 ,0 33 ,4 3 6 ,S 40 ,0 46 ,5 53 ,5

fator de Operat;ao k

< ; - f at or d e s e rv ic e< ; 1 , 0 c a rg a c o n s ta n te , o p er ac a o in te rm i te nt e< ; 1 , 3c o m im p a ct os , o p er ac a oc o nt in ua\ 1 ,5 im pac to s fo rte s , ope ra cao continua~ : J - f a to r de lu b ri fi c ay a o< , . ) - 1,0lubr i f icayaocontinua(0) - 1 , 3 lu b ri fi c ay a o p e ri 6d ic a~ - fa to r de pos icao~ - 1 ,0 --; q uando a linha de cen tro da transm issao e ho rizonta l, o u po ssu i um a inc llna cao de a te 45 com

re lacao a hor izon ta l~ - 1 ,3 --; quando a Iinha de cen tro da transm issao possu i um a inc linayao supe rio r a 45 em re la cao a

hor inzon ta l

Transmss6esorCorrenteDN180)------------------]


Ta b e la 4 - N um ero m ax im o d e ro ta e o e s (rpm )

T Ipo de Co r r e n t e N 2 d e D en te s P as so d a C or re nte t (m m )d o P in ha o 1 2 1 5 2 0 2 5 3 01 5 2 3 0 0 1 9 0 0 1 3 5 0 1 1 5 0 1 0 0 0

Ro l o s 1 9 2 4 0 0 2 0 0 0 1 4 5 0 1 2 0 0 1 0 5 02 3 2 5 0 0 2 1 0 0 1 5 0 0 1 2 5 0 1 1 0 02 7 2 5 5 0 2 1 5 0 1 5 5 0 1 3 0 0 1 1 0 0Ci l ind r i cos 3 0 2 6 0 0 2 2 0 0 1 5 5 0 1 3 0 0 1 1 0 0

1 2 , 7 0 1 5 , 8 7 1 9 , 0 5 2 5 , 4 0 3 1 , 7 5E lo s D e n ta d o s 1 5 a 3 5 3 3 0 0 2 6 5 0 2 2 0 0 1 6 5 0 1 3 0 0

Distancia entre Centros (Estimativa)I C = ( 3 0 a 5 0 ) t l

Emqu e :C - d sta nc ia en tre c en tro s [m m )(e stim a tiv a)t - p a s so da co rren te [m m j

Numero de f/oso n urn ero d e e lo s e d ete rm in ad o p ela e xp re ss ac :y=Zl+Z2+2C+(Z2 -Z1 ]2 t

2 t 2n CEmqu e :y - num ero de e lo s [a d im ens io na ljZ , - nu rne ro d e d en te s d o p inh aoZ2 - nune ro de den te s da co roat - p a sso [m m jC - d ls ta nc la em re ce ntro s [m m jrr - c o ns ta nte trig on om e tric a( 3,1 4 .. .)Distancia entre Centros Correta

( Z l + Z 2 ) 2 ( Z 2 - Z l ) 2 ]--- -8--2 27 to va lo r d e A p ode s er d im inu fd o de 2 a 5 m m pa ra a ju ste da trans mlssao ,F orc a n a c o rr en te (t or ca ta ng e nc ia l) :

[]c [N j294 ---------------------- Elementos de Maquinas


E d ete rm in ad a p or m eio d e:~ IN ]

Comprimento da CorrenteEmque :F r - f o rya tangenc ia l [N ]P - p o te nc ia tr an sm itid a [W jv c - v elo cid a de p a rlle ric a d a c or re nte [ m / s ]M r- to rqu e [N .m m ]d o - d ia rn etro p rim itlvo d a e ng re na ge m [m m ]

Z1t .n1v c = 60 .1000 ( m / s )V elo cidade da Corrente

Emque :V c - v e lo c id a d e d a c or re n te [ m / s ]Z 1 - ru m ero d e d en te s d o p in ha o [ a dim e ns io na l]t - pa s so d a co rren te [m m ]n - ro taca o lrpm ]In fo rma< ;oe s T ecni ca sA s tra ns rn is s oe s p or co rre nte de vem se r u tiliz ad as so me nte em e ix o s p ara le lo s. A re la cao de transm is sa om ax im a a se r u tiliz ad a is10 , s en do a fa ix a id ea l i:::; 6 .A p o te nc ia m ax im a de q ue se tem conhe c im en to , qu e fo i transm itid a a te ho je p o r co rre nte , e de 5000 c v( - 3700 kW ) e ro taca o n = 5000 r pm .Lubrifica


Area da Superficie de Contato'I A - s -=-O- ,5 -d-r - . b ' r 1 - a rtc ula ca o s im p le s

Emque :A s - a re ad as up ertlc ie de c on ta to [m m 2]d r - d iame t r odo r o l o [mm ]b r - la rg ura d o ro lo [m m ]P a ra c orr en te d u ple x:

Carga Atuante no EixoA c arg a a tu ante n o e ix o a rvo re e d ete rm ina da p or m eio d e:

IF a rv = F T + 2 k o .q . C lSendo :F a r v - ca rga a tuan te no e ixo [N ]F T - c ar ga ta ng e nc ia l [N ]~ - fa to rde p os ica o [ad im ens iona l]q - peso da co rrente [ N / m ]C - d is ta nc ia en tre ce ntro s[m ]Fator de Posi~ao k o~ - 1 (na p os iya o ve rtic a l)~ - 2 (a 45)~ - 4 (na pos iy ao h or iz onta l)

~f I' p 'I ' p 'I' p 'IC o rr en te s d e R o to S e rie S.

296 --------------------- Elementos = - = ~


Rolo L..-. .....s p . . : : . : l m sG K W ASA Passo I ; i : ~ ' iN !! N Q Largura Diametro Espessura = 1D T l' - 1 1

S IMP L EX ,Impo r t . 40 1/2 " 5 /16 " 5 /16 " 1 , 5mm 12 ,0 5/32 " 1 5 . 5

._Imp o r t . 50 5/8" 3 /8" 0 ,400" 2 , Omm 15,2 3/16 " 20 ,2 2O.D

S 4 01 60 3/4" 1 /2 " 15/32 " 2 , 5mm 18,4 1/4" 24 ,62 5 . 000

S 5 01 80 1 " 5 /8 5 /8" 1 /8" 24 ,4 5 /16 " 32 ,543.000

S 6 01 100 11/4" 3 /4 3 /4" 3 /16 " 29 ,0 3/8"41 ,5 70 . 000

S 7 01 120 11/2 " 1 " 7 /8" 3 /18" 34 ,0 7/16 " 48 ,5100 . 000

S 8 01 140 13/4" 1 " 1 " 1 /4" 42 ,0 1 /2 " 57 ,0135 . 000

S 9 01 160 2 " 11/4" 11/8" 1 /4" 47 ,6 9 /16 " 63 ,5170 . 000

S 901 R 1 60 H 2 " 11/4" 11/8" 5 /16 " 47 ,6 9 /16 " 70 ,0200 . 000

S 901 RR - 2 " 11/4" 11/8" 3 /8" 47 ,6 3 /4" 77 ,0 2 60 . 000S 1 00 1 200 21/2 " 11/2 " 19/16 " 5 /16 " 57 ,0 51/64" 76 ,0

275 . 000DUP L EX

Impo r t . 040 1/2 " 5 /16 " 5 /16 " 1 , 5mm 12 ,0 5/32 " 31 ,525.000

Impo r t . 050 5/8" 3 /8" 0 , 400 " 2 , Omm 15,2 3/16 " 39 ,240 . 000

S 4 02 060 3/4" 1 /2 " 15/32 " 2 , 5mm 18,4 1/4" 47 ,250.000

S 5 02 080 1 " 5 /8" 5 /8" 1 /8" 24 ,4 5 /16 " 65 ,086 .000

S 6 02 0100 11/4" 3 /4" 3 /4" 3 /16 " 29 ,0 3/8" 78 ,5140 . 000

S 7 02 0120 11/2 " 1 " 7 /8" 3 /16 " 34 ,0 7/16 " 93 ,5200 . 000

S 802 0140 13/4" 1 " 1 " 1 /4" 42 ,0 1 /2 " 138,0270 . 000

S 9 02 0160 2 " 1 Y ." 11/8" 1 /4" 47 ,6 9 /16 " 12 2 , 5340 . 000

S 1 00 2 0200 21/2 " 11/2 " 19/16 " 5 /16 " 57 ,0 51/64" 147 , 0550 . 000

TR IPLEXS 4 03 E 60 3/4" 1 /2 " 15/32 " 2 , 5mm 18,4 1/4" 70 ,7

75.000

S 5 03 E 80 1 " 5 /8" 5 /8" 1 /8" 24 ,4 5 /16 " 95 ,0 129 . 000

S 6 03 E 100 11/4" 3 /4" 3 /4" 3 /16 " 29 ,0 3/8" 117,5210 . 000

S 7 03 E 120 11/2 " 1 " 7 /8" 3 /16 " 34 ,0 7/16 " 139,5300 . 000

S 8 0 3 E 140 13/4" 1 " 1 " 1 /4" 42 ,0 1 /2 " 161 , 0405 . 000

S903 E 160 2 " 11/4" 11/8" 1 /4" 47 ,6 9 /16 " 181,5510 . 000

S 1 00 3 E 2 00 21/2 " 11/2 " 19/16 " 5 /16 " 57 ,0 51/64" 218,0825 . 000

Transmissoes por Corrente (DIN 8180) m 1 '


E=23 , 2G=6 8i--t

E ngre na ge ns S ta nd ar t pa ra C orren tes d e R oJo , p as so 1112".

Tipo 1 = Em ac e S A E -1 0 20Tipo 2 = D is co e m a ce S A E-1 02 0, c on ju ga do c om fla ng e a pa ra fu sa da

N 'd e D ia m etro D ia m etro S IM P LEX DU P LEXDen t e s p r tm l t i v o ex te rnoD p < l > D< I> T ipo A B F a id F m ax TIpo A B F a id F m ax1 2 147 ,21 164 ,5 1 1 06 50 1 5/ 1 6" 2 1 1 /1 6 " 1 106 95 1 5 1 1 6 " 2 1 1 / 1 6 "13 159 ,21 17 6 ,5 1 1 16 55 1 5 / 1 6 " 3 " 1 116 1 00 1 5 / 1 6 " 3'1 4 1 71 ,22 188 ,5 1 1 16 55 1 5 / 1 6 " 3 ' 1 120 10 0 1 5 / 1 6 " 3'1 5 183 ,2 5 2 00 ,5 1 1 20 6 0 1 5 / 1 6 " 3" 1 126 1 00 1 5 / 1 6 ' 3"1 6 1 95 ,29 2 12 ,5 1 1 20 60 1 5 / 1 6 " 3" 1 126 1 00 1 5 / 1 6 " 3'17 2 07 ,35 22 5 1 1 20 6 0 1 3 / 1 6 " 3' 1 130 1 05 1 3 / 1 6 " 3"1 8 21 9 ,41 23 7 1 1 20 6 0 1 3 / 1 6 " 3 ' 1 130 1 05 1 3 / 1 6 " 3"19 2 31 ,47 24 9 2 1 10 6 5 1 " 2 1 / 4 ' 1 130 105 1 3 / 1 6 " 3"20 2 43 ,54 26 3 2 1 10 6 5 1 " 2 1 / 4 " 1 130 105 1 3 / 1 6 " 3"2 1 25 5 ,63 27 2 2 1 38 89 1 1 / 4 " 3 " 1 130 105 1 3 / 1 6 " 3"2 3 2 79 ,81 29 8 2 1 64 99 1 1 / 4 " 3 1 / 2 " 1 130 105 1 3 / 1 6 " 3"25 30 3 ,99 32 1 2 1 70 103 1 1 / 2 " 3 1 / 2 " 1 130 110 1 3 / 1 6 " 3"30 3 64 ,49 38 3 2 170 103 1 1 / 2 ' 3 1 / 2 " 2 170 130 1 1 / 2 ' 3 1 / 2 '38 4 61 ,37 48 0 2 1 70 103 1 1 / 2 " 3 1 / 2 " 2 170 130 1 1 / 2 ' 3 1 / 2 "45 546 ,18 56 6 2 20 6 1 18 1 1 / 2 " 4 " 2 2 06 1 40 1 1 / 2 " 4 "57 691 ,6 71 2 2 20 6 1 18 1 1 / 2 " 4 ' 2 2 06 1 40 1 1 / 2 ' 4 "

I 7 6 921 ,3 94 2 2 20 6 118 1 1 / 2 " 4 " 2 250 140 1 1 / 2 " 5'

------------------------- Elementos de Maquinas

tr~- . - - - _~ -.. . .c-


G=26,2-r-r

E n gr en a ge n s S ta n d ar t p ar a C o rr en te s d e R o Jo , pa s so 5/8",

Tipo 1 = E m a90 S AE -1 02 0Tipo 2 = D isco em a90 S AE -1 020 , c on ju ga do c om f la ng e a pa ra fu sa da

N'deDi i imet ro D i i imet ro S IMP LEX DUP LEX

Den t es p r im l t i v o externoDpc j> Dcj> T ipe A B F ai d Fma x Tipe A B F ai d F m ax12 61 ,34 6 9 1 4 3 3 0 3/4" 11 /16 " 1 43 45 3/4" 11 /6 '13 66 , 34 74 1 48 30 3/4" 11 /4 " 1 48 45 3/4 ' 11 /4 '14 71 , 34 7 9 1 51 30 3/4" 13 /8 " 1 5 1 4 5 3 /4 ' 13 /8 '15 76 , 35 84 1 58 30 3 /4 " 11 /2 " 1 5 8 4 5 3 /4 ' 11 /2 '1 6 81 , 37 89 1 64 30 3 /4 " 15 /8 " 1 6 4 45 3 /4 ' 1 5 ,'8 '1 7 86 ,39 94 1 6 8 30 3 /4 " 1 3 /4 " 1 6 8 45 3/4 ' 1 3,4'18 91 ,42 99 1 73 3 0 3/4" 1 7 /8 " 1 73 45 314 ' 1 7 13 '19 96 , 45 10 4 1 73 3 0 3/4" 1 7 /8 " 1 78 45 314 ' 2'20 101 ,48 109 , 2 1 73 35 3/4" 1 7 /8 " 1 8 0 50 3 :4 ' 2' II21 106 ,51 114 ,3 1 75 35 3 /4 " 1 7 /8 " 1 83 50 314 ' 2 1 'S " I2 3 116 , 59 124 ,5 1 75 35 3 /4 " 1 7 /8 ' 1 83 50 314 ' 2 1 'S "2 5 126 , 67 13 5 2 6 2 39 5 /8 " 11 /4 " 1 83 50 l'4' 21 'S "30 151 ,87 16 0 2 6 2 3 9 5/8" 11 /4 " 1 83 50 7'3' 21 'S '3 8 192 , 25 2 01 2 73 4 6 3/4 ' 11 /2 ' 1 83 60 7 '8 ' 21.'4'45 227 ,58 2 36 2 75 46 3/4" 11 /2 " 2 94 69 7 '8 ' 13/4'57 228 ,19 2 97 2 75 46 3 /4 " 11 /2 " 2 11 0 7 5 l' 2114 '76 384 ,15 3 93 2 94 56 7 /8 " 13 /4 ' 2 1 10 75 r 21 /4 '95 480 ,74 4 90 2 9 4 56 7 /8 " 13 /4 ' 2 1 10 75 r 21 /4 -11 4 5 76 58 5 2 9 4 56 7 /8 " 13 /4 - 2 13 0 8 5 11 /4 ' 21 /4 -

Transmissoes por Corrente (DIN 8180) i.


En gren agen s S ta nd art pa ra C orren te s d e R olo , pa ss o 314" ,

Tipo 1 = E m a 90 S AE -1 020Tipo 2 =D is co em a 90 S AE -1 020 , c on ju ga do c om fla ng e a pa ra fu sa da

N d e D ia m et ro D ia m et ro S I M P L E X DUP L E XDe n t e s p r im i t i v o e x te rn oD p ~ D ~ l i po A B F a id F m a x l ipo A B F a id F m a x

12 73 , 60 83 ,0 1 55 35 3 /4 " 15 /16 " 1 55 55 15 /16 " 15 /16 "13 79,6 0 89,9 1 59 35 3 /4 " 11 /2 " 1 59 55 15 /16 " 11 /2 "14 85 ,6 1 95 ,0 1 6 5 35 3 /4 " 111 /16 " 1 6 5 55 15 /16 " 111 /16 "15 91 ,6 2 101 ,0 1 70 35 3 /4 " 13 /4 " 1 70 55 15 /16 " 113 /16 "16 97 ,6 5 107 ,2 1 76 35 3 /4 " 2 " 1 76 55 15 /16 " 2 "17 103 ,6 7 113 ,2 1 82 ,5 40 3 /4 " 2 1 /8" 1 82 , 5 60 15 /16 " 2 1 /8 "18 109 ,71 119 ,3 1 82 ,5 40 3 /4 " 21 /8 " 1 89 60 15 /16 " 21 /4 "19 115 ,74 125 ,3 1 82,5 40 3 /4 " 2 1 /8" 1 95 6 0 15/16 " 27 /16 "2 0 121 ,78 131 ,3 1 82 ,5 40 3/4" 21 /8 " 1 95 60 15 /16 " 21 /8 "2 1 12 7 ,82 137 ,4 1 82,5 40 3/4 " 2 1 /8" 1 95 6 0 15/16 " 2 1 /8 "2 3 139 ,90 150 2 6 2 41 5/8 " 11 /4 " 1 95 6 0 15/16 " 2 1 /8 "2 5 151 ,99 16 2 2 6 2 41 5/8 " 11 /4 " 1 95 6 0 15 /16 " 2 1 /8 "30 182 ,2 5 192 2 75 51 3/4 " 11 /2 " 1 100 70 15/16 " 2 1 /4 "38 2 30,6 9 2 41 2 75 51 3/4 " 11 /2 " 1 100 70 15/16 " 21 /4 "45 2 73 ,10 2 84 2 94 60 7/8 " 13 /4 " 2 11 0 80 1 " 2 1 /4 "57 345,82 357 2 94 60 7/8" 13 /4 " 2 130 90 11 /4 " 21 /2 "76 460 ,98 47 2 2 94 60 7/8 " 13 /4 " 2 130 90 11 /4 " 21 /2 "95 576 ,15 587 2 94 60 7 /8 " 13 /4 " 2 138 94 11 /4 " 3 '114 6 91 ,4 70 3 2 10 6 80 1 " 21 /4 " 2 158 110 11 /4 " 31 /2 '

w------------------------ Elementos de Maquinas


Transmiss6es por Corrente (DIN 8180)--------------------i

E ngre na ge ns S ta nd ar t pa ra C orre nte s d e R olo , pa ss o 1H.

Tipo 1 = Em aco SA E-1 020Tip o 2 = D is co e m ac o S AE -1 02 0, c on ju ga do c om fla ng e ap ara fu sa da

N Q d e D ia m etro D ia m etro S IMP LEX DUP LEXDen t es p rim itiv o e xte rnoD p q . D q . lip o A B F a td F m ax T ip o A B F a td F m ax

12 98,14 110,5 1 70 35 1 5 / 1 6 " 1 3 / 4 " 1 70 60 1 5 / 1 6 " 3 1 / 4 '13 106 ,14 118,5 1 78 40 1 5 / 1 6 " 2 " 1 78 65 1 5 / 1 6 " 2"14 114,15 12 6 ,5 1 88 40 1 5 / 1 6 " 2 1 / 4 " 1 88 65 1 5 / 1 6 " 2 1 / 4 '15 12 2 ,17 134,5 1 95 40 1 5 / 1 6 " 2 1 / 2 " 1 95 65 1 5 / 1 6 " 2 1 / 2 '16 130,20 142 ,9 1 102 45 1 5 / 1 6 " 2 3 1 4 " 1 104 70 1 5 / 1 6 ' 2 3 /4 -17 138,23 151,0 1 102 45 1 5 / 1 6 " 2 3 1 4 " 1 111 70 1 5 / 1 6 - 2 7E -18 146 ,27 159,0 1 102 45 1 5 / 1 6 " 2 3 / 4 " 1 114 70 1 5 / 1 6 - 3'19 154,34 167 2 75 50 3 / 4 " 1 1 / 2 " 1 114 70 1 5 / 1 6 ' 3-20 162 ,36 174 2 75 50 3 / 4 " 1 1 / 2 " 1 114 70 1 5 1 1 6 ' 3-21 170,44 183 2 75 50 3 / 4 " 1 1 / 2 " 1 114 75 1 5 1 1 6 ' 3'23 186 ,54 200 2 94 61 7/8' 1 3 / 4 " 1 114 75 15116 ' 3'25 202 ,67 215 2 94 61 7/8' 1 3 / 4 " 1 11 4 75 1 5 1 1 6 ' 3'30 2 43 256 2 110 65 1" 2 1 / 4 " 1 11 4 85 1 5 " 1 C - 31.'4'38 307,59 32 1 2 110 65 1" 2 1 / 4 " 2 138 10 0 11,4 ' 3-45 36 4,13 378 2 110 65 1 " 2 1 / 4 " 2 138 100 11.4- 3-57 461,09 475 2 130 75 1 1 / 4 ' 2 1 / 2 ' 2 " 164 11 0 11/4 ' 3-76 6 14,63 6 29 2 138 77 1 1 / 4 ' 3" 2 " 170 12 0 1 1 1 2 ' 3 1 1 2 -95 768,2 782 2 138 77 1 1 / 4 " 3" 2 ' 200 1 3 { ) 1 1 1 2 ' 4'11 4 921,8 936 2 164 89 1 1 / 4 " 3 1 / 2 " 2 ' 200 130 1 1 1 2 ' 4'


E n gr en a ge n s S ta n da rt p a ra C o rr en te s d e R o Jo , pa ss o 1114" .

Tipo 1 = Em a90 SAE 1 02 0Tipo 2 = D isc o e m a 90 SAE 1 020 , c on ju ga do c om fla ng e a pa ra fu sa da

N Q de D l am s t r o Diametro S IMPLEX DUPLEXDentes p rim it iv ~ e xt er noD p < j l D < j l TIpo A B F atd F m a x TIpo A B F a Id F m a x

12 122 ,67 137 ,5 1 88 40 15116 " 2 1 / 4 " 1 88 75 1 5 / 1 6 " 2 1 / 4 "13 132 ,67 147,5 1 98 45 1 5 / 1 6 " 2 7 / 1 6 " 1 98 75 1 5 / 1 6 " 2 7 / 1 6 "14 142 ,69 157 ,9 1 108 45 1 5 / 1 6 " 2 3 / 4 " 1 108 80 1 5 / 1 6 " 2 3 / 4 "15 152 ,71 157 ,5 1 110 45 1 5 / 1 6 " 2 3 / 4 " 1 118 80 15116 " 3 1 / 1 6 "16 162 ,74 177 ,5 1 110 45 1 5 / 1 6 " 2 3 1 4 ' 1 128 80 1 5 / 1 6 " 3 3 1 8 "17 172 ,79 187 ,5 1 110 50 1 5 / 1 6 " 2 3 1 4 " 1 128 80 1 5 / 1 6 " 3 3 1 8 "18 182 ,84 197 ,5 1 115 50 1 5 / 1 6 " 2 3 1 4 " 1 128 80 1 5 / 1 6 " 3 3 1 8 "19 192 ,91 208 2 120 55 1" 2 1 / 4 " 1 130 86 1 5 / 1 6 " 3 1 / 2 "20 203 , 27 218 2 120 55 1 " 2 1 / 4 " 1 130 86 1 3 / 1 6 " 3 1 / 2 "21 213 ,03 228 2 110 71 1 " 2 1 / 4 " 1 13 0 86 1 3 / 1 6 " 3 1 / 2 '23 233 ,17 248 2 138 81 1 1 / 4 " 3" 1 130 86 1 3 / 1 6 " 3 1 / 2 "25 253 ,31 268 2 138 81 1 1 / 4 " 3" 1 130 100 1 3 / 1 6 " 3 1 / 2 "30 303 ,73 320 2 138 81 1 1 / 4 " 3" 2 13 0 10 0 1 1 / 4 " 3 1 1 2 "38 384 ,48 40 0 2 138 81 1 1 / 4 " 3" 2 138 100 1 1 / 4 " 3"45 455 ,17 472 2 164 91 1 1 / 4 " 3 1 / 2 " 2 16 4 11 0 1 1 /4 " 3 1 / 2 "57 576 ,32 593 2 164 91 1 1 / 4 " 3 1 / 2 " 2 170 130 1 1 / 2 " 3 1 / 2 "7" 768,3 788 2 164 110 1 1 / 2 " 3 1 / 2 " 2 20 0 13 0 1 1 / 2 " 4"0

,'302';------------------------ Elementos de Maquinas


G=21,2- r - - r -1ITIPO 1 TIPO 1

TIP02

E ng re na ge n s S ta n da rt pa ra C orre nte s d e R % , pa s so 11 12".

T i p o 1 = E m a c o S A E - 1 0 2 0T ip o 2 = D i s c o e m a ce S A E -1 0 2 0 , c o n j u ga d o c o m f l a n g e a pa ra fu sa d a

NQ d e D i ame t r o D i ame t r o S IMPL EX DUPLEXDen t e s p r im i t i vo ex te rnoDp 4> 04 > l i po A B F a id F m ax l i po A B F a id F m ax

12 49 ,07 55 ,5 1 35 25 5 /8 ' 7 /8 ' 1 35 40 5 /8 ' 7/8'13 53 ,07 59 ,0 1 39 25 5 /8 ' r 1 39 40 5 /8 ' l'14 57 ,07 63 ,5 1 43 2 5 5 /8 ' 11 /8" 1 43 40 5 /8 ' 118 '1 5 61 ,08 67,5 1 47 25 5 /8" 11 /4" 1 47 40 5 1 8 ' 11 .4 -16 65 ,10 71,5 1 51 25 5 /8 ' 13 /8" 1 5 1 40 5/S ' : ::.3'17 69,12 75,5 1 55 25 5 /8 ' 17 /16 ' 1 5 5 40 5 /8 ' ITT

r 18 73 ,14 79,5 1 59 25 5 /8 ' 19 /16 ' 1 5 9 40 5/S' 1 g 16 "1 9 77,16 83 ,5 1 63 2 5 5 /8" 111 /16 ' 1 63 40 5 1 S ' 111 . 15"20 81 ,18 87 ,6 1 65 30 5 /8 ' 111 /16 ' 1 65 45 5, 'S ' 1 3.4'21 e5 , 21 < :)1 ,6 1 6 6 30 S IS" 1314" 1 70 45 5 . '8 ' 13.4'23 93 ,27 99 ,6 1 66 30 51S" 1 3 14 " 1 70 4 5

:.~. ~ 3 ,' 4-2 5 101 ,33 107,7 1 66 30 51S" 1 3 14 " 1 76 45 \ ~'8. 1 3.4'30 121 ,49 12 8 2 62 48 5 /8" 11 /4" 1 83 4 5 I 7E 13.'4'38 153 ,80 16 0 2 62 4 8 5 /8" 11 /4" 1 S3 4 5 7;'0 1 3.'4'45 182 ,07 18 9 2 62 48 5 /8" 11 /4 ' 1 94 .e 7.'8' 13/4 '57 230 ,53 23 8 2 75 56 3/4 ' 11 /2 ' 2 94 7 1 8 ' 13 /4 '76 307,06 31 4 2 75 5 6 3/4 ' 11 /2" 2 94

Ie e 7iS ' 13 /4 '

95 384 ,10 39 1 2 75 56 3/4 ' 11 /2 ' 2 11 0 7 2 r 21/4 '11 4 460 ,91 46 8 2 75 56 3 /4 ' 11/2' 2 11 0 72 1" 21 /4 '

TransmssoesorCorrenteDN180)--------------------!


C orre nte s d e R olo s F ix os S tirie B .

P as so em C arg a d e D iam etro Largura Late ral Diametroruptura L a te r al i nt er n oG K W do r o lo in te rna ex te rno d o p in on2 aproxim. T x HP o le g . m m . N D B T x H G81 2 - - 20 ,00 20 .000 1 5 / 3 2 " 1 9 / 3 2 " 1 / S " x 1 1 / 1 6 " 1 / S " x 1 1 / 1 6 " 5 1 1 6 "81 5 l' 25 ,40 1S .000 1 / 2 " 1 / 2 " 1 / S " x 24,4" 1 / S " x 24 , 4 " 3 / 1 6 "81 6 l' 25 ,40 1S .000 1 / 2 " 5 / S " 1 / S " x 24,4" 1 / S " x 24 , 4 " 3 / 1 6 "817 1 ,375 " 34 ,90 45 .00 0 9 / 1 6 " 5 / S " 1 / S " x 7 / S " 5 / 3 2 ' x 7 / S " 5 / 1 6 '8171 1 ,375 " 34 ,90 45 . 000 3 / 4 " 3 / 4 " 1 /S " x 1" 5 / 3 2 " x 1" 1 3 / 3 2 'B 22 1 , 625 " 41 ,30 55 .000 3 / 4 " 3 / 4 " 3 /1 6 " x 1" 3 / 1 6 " x 1" 3 / S "8221 1 ,625 " 41 ,30 70 .000 1 3 / 1 6 " 1" 3 1 1 6 " x 1 1 / S " 3 1 1 6 " x 1 1 /S " 7 1 1 6 "8 26 1 ,624 " 42 ,00 70 .000 1 3 / 1 6 " 1" 3 1 1 6 ' x 1 1 / S " 3 1 1 6 " 1 1 / S " 1 3 / 3 2 "8 2S 2 ,250 " 57 ,15 125 .000 1 1 / S " 1 3 1 4 " 1 / 4 " x 1 1 / 2 " 5 1 1 6 " x 1 1 / 2 " 5 /S "B 31 2 , 30S " 5S ,60 92 .00 0 3 / 4 " 3 / 4 " 3 / 1 6 " x 1" 1 / 4 " x 1" 1 / 2 "8310 2 ,30S 5S , 60 120 . 000 3 / 4 ' l' 1 / 4 " x 1 1 / 4 " 5 1 1 6 " x 1 1 / 4 " 1 1 2 "8370 2 ,609 66 ,30 109 .000 7 / S ' 1 1 / 3 2 " 1 1 4 ' x 1 1 / 4 " 5 1 1 6 " x 1 1 / 4 ' 1 1 2 "84 0 3 ,07 5 " 7S ,10 175 .000 1 1 / 4 " 1 3 / 1 6 " 5 / 1 6 " x 1 1 / 2 " 3 / S " x 1 1 / 2 " 5 / S "841 3 ,07 5 " 7S ,10 199 .000 1 1 / 4 " 1 3 / 1 6 " 3 / S " x 1 1 / 2 " 1 1 2 " x 1 1 /2 " 5 /S "8102 4 " 101 ,60 150 .000 1 " 2 1 / S " 3 / S " x 1 1 / 2 " 3 / S " x 1 1 / 2 " 5 / S "8103 4 " 101 ,60 1S 1 .000 1" 2 7 / S " 3 / S " x 1 5 / S " 3 / S " x 1 5 / S ' 5 / S "8 110 4 ,04 " 102 ,60 241 .000 1 1 / 4 " 2 1 / 4 " 3 / S " x 2" 3 / S " x 2" 3 / 4 "8111 4 ,04 " 102 ,60 236 . 000 1 3 / S " 3" 3 / S " x 2' 3 / S " x 2" 3 / 4 "86 13 6 " 152 ,40 226 .000 1 1 /2 " 1 7 /S " 3 / S " x 2" 3 / S " x 2" 3 / 4 "86 15 6 " 152 ,40 147 .000 1 1 / 4 " 2 1 / S " 3 / S " x 1 1 / 2 " 3 / S ' x 1 1 /2 " 5 / S "86 16 6 " 152 ,40 255 .000 1 1 /2 " 2 1 / 4 " 3 / S " x 2" 3 / S ' x 2" 3 / 4 "861S 6 " 152 ,40 211 .000 1 3 / 4 ' 1 1 /4 ' 3 /S " x 2" 3 / S " x 2" 7 / S "8 619 6 ,05 " 153 ,67 1S 7 .00 0 1 3 /4 " 4 5 / 1 6 " 1 / 2 " x 2" 1 / 2 " x 2 " 1 "86 220 6 ,05 " 153 ,67 347 .000 1 3 / 4 " 35 /16 " 1 / 2 " x 2 1 /2 " 1 1 2 " x 2 1 / 2 " 1"B 621 6 ,05 " 153 ,67 1S 7 .00 0 1 3 / 4 " 3 1 / S " 1 1 2 " x 2" 1 / 2 " x 2 " 1 "B 6300 7 ,09 " 1S 0 ,00 170 .000 1 1 / 4 ' 1 1 1 /3 2 " 1 / 4 " x 2" 5 / 1 6 " x 2" 7 / S "

304 ------------------------ Elementos de Maquinas


EXERciclO RESOLVIDO1 ) Um com presso r se ra a c ionad o p o r um a transm issao po r co rrente , po r um m o to r d e 15 kW (-20 cv ) q ue

possu i u ma ro taca o nom ina l d e 12 00 rp m e um a ro ta cao e fe tiva de 1160 rpm .Um m oto r e le tr ic o com po te nc ia P = 15kW (-20 cv ) e ro taca o n = 1160 rpm ac io na um com pre sso r a tra vesd e u m a tr an srn is sa o p o r c orr en te .o vo la nte do com presso r d eve g ira r co m 290 rpm . 0 t raba lho e c ons id era do no rm al e a o is ta nc ia e ntre ce n-tro s e stim ad a e m 6 00 m m . C ons id ere a linh a d e ce ntro s co m inc lina ca o in fe rio r a 45 e m re la ca o a hor izonta l .A l ub ri fi c a9ao e cont inua.D i m en si on a r a tr an sm is s ao .E s p e c if ic a ro l ub r if ic a n te .

Solu~ao:1 ) R e la y a o d et ra n sm is s a o i

C om o a co rre nte d e ro lo s c ilind rico s e m ais s im ple s e p oss ui 0m e no r c us to , o pta -s e p or e ss e tip o d e c orre nte .N esse caso , a vp fica lim itada no m ax im o a 12 m / s (v p < 12 m / s ) .

1160290

i = nm o to rncomp res so r

i= 4

2 ) N urne ro de de nte s do p inhaoP a ra i = 4 , encontra -se na ta be la 1 , que Z l = 23 dentes .N um ero de dentes da co roa :

Z2 =Z li=234=92 dente sC om o Z m ax = 1 20 , c on clu i-s e q ue a c oro a c om 9 2 d en te s e nc on tra -s e n o in te rv alo d e p erfe ito fu nc io na m en to .

3 ) P asso d a co rre nteo p in ha o p os su i Z , = 23 den te s e g ira com n = 1160 rpm . A tabe la 4 (p ag ina 294) ind ica que , c om e xce cao dot= 3 0 m m , q ua lq ue ro utro p as so p od es eru tiliz ad o. Q u an to m e no ro p as so , m e lh or p ara a tra ns m is sa o, p ois dim i-nu em o s ch oq ue s, a to rc a ce ntr ifu ga e o a tr ito . P or e ss as ra zo es , e sco lh e-s e 0 passo

t = 1 / 2 " = 1 2 , 7 m m .4 ) V e lo c id a de p e rit er ic a da c or re n te

Z ltn l 23 12 ,7 1160601000 60100 vp = 5,6 5 m i s , por tanto

v p < 12 m i s , e sta v er ific ad a a c on diy ao .5) Fa to r de ope ra cao ko fa to r d e o pe ra ca o le va e m c ons ld era ca o a s c ond ico es d e tra ba lh o.

k=kskekpo

305Transmss6esorCorrenteDN180)------------------


306 --------------------- Elementos de Maquinas

\ -1 ,0 ca rga con s tanteFa to r d e s erv ic e ks

ke - f a to r d e lu b ri ti ca c aok/ -1 ,0 Iubr i f i ca9aocon t lnua

kp o - fa to r d e p os ic aokpo - 1 , p o is a linha de cen t r es te rn in clin a9 ao in fe rio r a 4 5 e m r e l a cao a hor izon ta l

k = =k . kf . k ==11 1 ==1 => k = =1s p o6 ) C arg a ta ng en cia l n a c orre nte

FT ==i_ ==15000" 5 ,65

F T = =2 655N (c arg a m ax im a a tu an te na c orre nte )7 ) Ca rga de rup tu ra da co rren te

N a tabe la 3 ( paq ina 293) , ob t em - se que :

{n = =1 16 0r pmn s = =1 1,7 , p ois t= =1 /2 "= =(1 2, 7mm )por tan to ,F r up = =2 6 5 5 11 , 7 1IF rup ==31 .063N IConsu l tando 0 ca t a l oqo da GKW , obse rva -se que se as co rren te s de t = 1 /2 " ( t = 1 2,7 mm ) f ore m u tiliz ad as , 0p ro je to p erd e s ua q ua lid ad e c om a d im inu i9a o d o c oe fic ie nte d e s eguran9a .Aumen tando 0 passe pa ra t = 5 /8 "( 15 ,8 75 mm ) , r ec a lc u la -s e 0 pro je to .

8 ) V e lo cid ad e p erit eric aZl . t . n 1 2 3 1 5,8 75 11 60

vp 60 .100 60 .100h ==7 ,05m/s lp ort an to , v p < 1 2 m /s es ta ve r i f i cada acond i c ao ,

9 ) C arg a ta ng en cia l n a c or re nteFT.r,5 000

vp 7 ,05I F , = =2 12 8N I (c arg a m a xim a a tu an te n a c orre nte )


Iransrnissces por Corrente (DN180)------------------i

C arg a d e ru ptu ra d a c orre nte

N a ta be la 3 (p ag in a 2 93 ), o bte m -s e q ue :. {n = 116 0 rpml\ = 1 1,7 , p o r s t = 5 / 2 8 = ( 15 ,8 7 5mm )

por tan to ,~' \Jp =2128 11 , 7 1F' \Jp '= 25 . 000NU til iz a -s e u ma co rre nte G KW d up le x D SO (A SA ) F r up = 40000 NEspec i f i c a r :G K W d u ple x 5 / 8 " 40000 no rm a A SA 050

...I Ve r i f i c ayaodad i s t anc i aen t r ecen t r osC = (30 a 50 ) t

Q=~=378t 15 ,87 5 'A re la ca o e sta no in te rv a lo e sp ec if ic a do (30 a 5 0), d e o nd e co nc lu i-s e q ue a d is ta nc ia e ntre ce ntro s se ra

man t i da .2,1 N u rn ero d e e lo s

y = Z l +Z2 + 2C +(Z2 -Z l J 2 . J . .2 t 2n C= 23 +92 + 2 6 00 + ( 92 -23 J2 . 15 ,8 75

Y 2 15 ,8 75 2n 600Iy = 136 e lo sl

3) Comp r im en t o d a c o r r e n t e= y t ~ =136 1 5 ,8 75

1 = 2 15 9m m l4) C arg a n o e ix o a rvo re

ko = 2 (in clin ac ao p r6 xim a a 4 5 )q '= 20 N /m (D IN 8 187 ) p ara c orre nte d up le x co m t = 5 / 8 " (1 5,8 75 m m )C = 0 ,6 m (d is ta nc ia e ntr e c en tro s)F a r v =2128+2 2 20 0 , 6F a r v = 2 176 N


Eng r e na g en sP in h a o : N um ero d e d e nte s Z l = 23D i a r n e tr o p r im i t iv o :

15 , 875s en180

2 3d o = 116 ,5 8m m1

D i am e tr o e x te r no :d k =do +O,83d r(1 2


D i a r ne t ro e x t e rn o :d k = do + 0,9d r2 2d k = 465 + 0 ,9 0 ,4 2 5 ,42d k = 4 74 ,1 4mm2D i a rn e t r o in te rno:d f = dO -1 ,01 d r2 2d f = 46 5 -1 ,01 0 ,4 2 5,42d f =454 , 73mm2

Lubrifica~aoP r e s s a o espec i f i c a :

F T F Tp=-=- - ' - -A S 0 , 76d r b,21 28p=- - - - - - - - -0,760,425,43/825,4

d r =0 ,4 2 5 ,4 e b=3/825,4 ( t abe l adeco r r en t esGKW)p = 28,9 N / m m 2Escolha doLubrificanteA l u b ri fi c a 9a o e m anua l, a p re s sa o e sp e c if ic a na a rtlc u la ca o d a co rre n te e d e 28 ,9 N / m m 2 e a ve lo c id a d e caco rre nte e v = 7,05 m i s , d e onde se conc lu i q u e a v is co s id a d e d o 61e o a 50 C e de 80 cS t.

EXERCiclO PROPOSTO

1 ) 0 a cio na me nto d e u m re du to r e e fe tu ad o p ela tra ns rn ls sa o p or co rre nte s, m ov id o p or u m m oto r e le mco dep ote nc ia P = 22 kW (-30 c v ) e ro ta ca o n = 1 18 0 rp m .A ro ta ca o d o e ix o d e e ntra da d o re du to r e 6 00 rp m. 0tra ba lh o e c on sid era do n orm a l e a d is ta nc ia e ntre c en tro sa dm itid a em 500 m m. C ons id e re a linh a d e cen tro na ve rt ic a l. A lu b r if ic a 9a o e con tinu a . D im ens io na r at ra n s rn is s a o. E s p e ci fi ca r 0 l ubr i f i cante .S era u tiliz ad a a c orre nte d e ro lo s c ilin dr ic os p or s er m a is s im p le s e p os su ir 0 m eno r cu sto . A vp tea l im r tadaa 12 m / s (v p < 12 m / s ) .

Respostas:Z , = 2 7 d e nte sF T=267 kg fe =1651 m m

Z 2 = 5 3 d e nte sp ru p= 40 61 kg fP a rv = 269 kg f

t = 5/8" (1 5,8 75 m m )Y= 104 e lo s

TransrnissoesorCorrenteDIN180)--------------------------1


: ':r re n te A SA D 50E : 1>g r enagensPlnhiio:

d o =136 , 75mm,d k = 1 45 ,5 9,d g , = 135 ,82 m md f = 1 26 ,4 9,

Co r o a :d o =267 , 9 8mm2d g 2 = 266 ,17 m md k =277 , 1 2mm2d f =2 57 ,71 m m2

Lub r i f i c ayao :p = 3 ,6 3 k g f l m m 2

O le o a s e r u tiliz a do :v = 60 cS t

310" ------------------- Elementos de Maquinas

elementos de máquinas_sarkism_cap14_transmissãocorrente

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