Abdul Bari (Dome)

7/23/2019 Abdul Bari (Dome)

1/83

GOVT ENGINEERING COLLEGEAURANGABAD

GUIDED BY : DR.S.B. CHIKALTHANKAR

INTRODUCTION TO BEVEL GEARS

PRESENTED BY:

PRASAD PARGAONKAR ANSARI ABDUL BARI SHASHANK DATTATRYWASGI[BE10F02F005] [BE10F02F006] [BE10F02F007]


2/83

CONTENTS

Int!"#$t%!n

H%&t!' !( G)*&

T'+)& !( B),)- G)*&

T).%n!-!/%)&

F!$)& *n*-'&%& !n B),)- G)*&

W)* &t)n/t "'n*.%$ &t)n/t

A++-%$*t%!n&

N#.)%$*-


3/83

Introduction

G)*& *) ))-& !

$'-%n")& %t t))t t*t

.)& %t t) t))t !( !t)

/)*& t! t*n&.%t .!t%!n

G)*& *) #&)" %n

),)'t%n/ (!. *#t!.!3%-)&

t! &.*-- t!'&

What are Gears?


4/83

GEAR TERMINOLOGY

PIT4H DIAETER

ROOT DIAETER

4ENTER

DISTAN4E

OUTSIDE DIAETER

DIAETRAL PIT4H TOOTH SIE


5/83

GEARS

SPURGEAR

WORGEAR BE8EL

GEAR


6/83

Functions of Gears

T*n&() !t%!n 4*n/) D%)$t%!n

In$)*&)9D)$)*&) S+))" In$)*&)9D)$)*&) T!#)

T!#) %& t#n%n/ ! t%&t%n/ (!$); E


7/83

Transmt m!t!n "et#een sha$ts

Gear t%&esS&'r (ears ) &ara**e* sha$ts ) m!st +!mm!n

Be,e* (ears) &er&en-+'*ar sha$ts

W!rm (ears &er&en-+'*ar !,er*a&&n( sha$ts

Ra+/ an- &n!n (ears) +!n,ert +r+'*ar

m!t!n t! *near m!t!n


8/83

History of GearsThe G*eas!n W!r/s

B!n A+%- >? 1@6? W%--%*. G-)*&!n $*.) t! A.)%$*

(!. B!%&!=*n)? 4!#nt' T%++)*'? I)-*n"? %t %&

.!t) *n" 3!t) )n ) *& * -*" !( (%(t))n;

H) *$#%)" %& t*%n%n/ t!#/ *++)nt%$)&%+ *& *

.)$*n%$ %n t) R!$)&t) .*$%n) &!+& !( A&* R;

S%(t *n" I;

An/)-- S!n& *n" "#%n/ t) 4%,%- W* !=)" *t

4!-t& A.!' %n H*t(!"? 4!nn)$t%$#t.


9/83

R)t#n%n/ t! R!$)&t) %n 1@65? W%--%*.

G-)*&!n 3)/*n %& !n .*$%n) &!+? %$

),!-,)" %nt! T) G-)*&!n W!=& *n" #-t%.*t)-'

%nt! t) +#3-%$-' )-" G-)*&!n 4!+!*t%!n;

O%/%n*--' %& (%. .*n#(*$t#)" * /)n)*- -%n)

!( .)t*- !=%n/ t!!-& *n" .*$%n)&? %t

&+)$%*- ).+*&%& !n )n/%n) -*t)& *n" +-*n)&


10/83

In 1@7>? W%--%*. G-)*&!n %n,)nt)" t) (%&t 3),)- /)* +-*n);

T%& "),)-!+.)nt +!,)" t! 3) t) 3)/%nn%n/ !( * n)

%n"#&t' C t) 3),)- /)* %n"#&t' C *n" !+)n)" ,*&t n)

+!&&%3%-%t%)& (! t) t*n&.%&&%!n !( .!t%,) +!);

A .*&t) $*(t&.*n )n"!)" %t *n %n"!.%t*3-) %--

* &+%%t !( %n")+)n")n$) *n" 3!*" ,%&%!n ! $)*t)" * n)

t'+) !( .*$%n) t!!- *n" (!#n")" t%& 3#&%n)&& !n %")*-& !(

&),%$) *n" (*% ")*-%n/;


11/83

Deveo!"enta History T)) *) .*n' $-*%.& t! t) %n,)nt%!n !( t) "%(())nt%*- /)* 3#t

%t %& +!&&%3-) t*t %t *& =n!n? *t -)*&t %n &!.) +-*$)&? %n *n$%)nt

t%.)&; S!.) %&t!%$*- .%-)&t!n)& !( t) "%(())nt%*- %n$-#"):

1050 B4771 B4: T) Book of Song%$ %t&)-( *& %tt)n

3)t))n 502 *n" 557 A;D; .*=)& t) *&&)t%!n t*t t) S!#t

P!%nt%n/ 4*%!t? %$ .*' *,) #&)" * "%(())nt%*- /)*? *&

%n,)nt)" "#%n/ t) W)&t)n !# D'n*&t' %n 4%n*;

150 C 100 B4: H'+!t)&%)" #&)? n! "%&$)"%t)"? %n t) G))=

Ant%='t)* .)$*n%&.


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S!#t P!%nt%n/ 4*%!t .!")-;

2272 AD: D)&+%t) "!#3t& (!. ()--! .%n%&t)& *t $!#t? * #n (!. t)

K%n/"!. !( W)% %n 4%n* %n,)nt& t) (%&t %&t!%$*--' ,)%(%*3-) S!#t P!%nt%n/

4*%!t? %$ +!,%")" $*"%n*- "%)$t%!n *& * n!nC.*/n)t%$? .)$*n%)"

$!.+*&&; S!.) $ $*%!t& .*' *,) #&)" "%(())nt%*- /)*&;

65@? 666 AD: t! 4%n)&) B#""%&t .!n=& *n" )n/%n))& $)*t) S!#t

P!%nt%n/ 4*%!t& (! E.+)! T)nJ% !( *+*n;

1027? 1107 AD: D!$#.)nt)" 4%n)&) )+!"#$t%!n& !( t) S!#t P!%nt%n/

4*%!t 3' Y*n S# *n" t)n W# D))n? %$ ")&$%3)" %n ")t*%- t)

.)$*n%$*- (#n$t%!n& *n" /)* *t%!& !( t) "),%$) .#$ .!) &! t*n )*-%)

4%n)&) )$!"&;


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1720: !&)+ W%--%*.&!n #&)& * "%(())nt%*- /)* %n * $-!$=;

1@10: R#"!-+ A$=).*nn !( G).*n' %n,)nt& * (!#C))-

&t))%n/ &'&t). (! $*%*/)&? %$ &!.) -*t) %t)&

.%&t*=)n-' )+!t *& * "%(())nt%*-;

1@27: .!")n *#t!.!t%,) "%(())nt%*- +*t)nt)" 3'

*t$.*=) On&%+!) P)$#)#;

1721@52 !( t) 4!n&),*t!%) ")& At& )t t%)& %n

F*n$) (! #&) !n* * &t)*. $*t; S!#$)&: B%t*nn%$*

On-%n) *n"


14/83

1@2: R%$*" R!3)t& !( En/-*n" +*t)nt& /)* !( $!.+)n&*t%!n? *

"%(())nt%*- (! !*" -!$!.!t%,)&;

1@7>: A,)-%n/ *n" P!t) !( R!$)&t)? K)nt -%&t * $*n) -!$!.!t%,) %n t)%

$*t*-!/#) (%tt)" %t t)% +*t)nt "%(())nt%*- /)* !n t) )* *


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1@7: (%&t #&) !( "%(())nt%*- !n *n A#&t*-%*n &t)*. $* 3'

D*,%" S)*);

15@: 8)n!n G-)*&.*n +*t)nt& t) T!&)n "#*-C"%,)

"%(())nt%*-? * t'+) !( -%.%t)" &-%+ "%(())nt%*- t*t )-%)&

&!-)-' !n t) *$t%!n !( /)*%n/ %n&t)*" !( * $!.3%n*t%!n !(

$-#t$)& *n" /)*&

0 B4 C 20 B4: D%(())nt%*- /)* &'&t).& +!&&%3-' #&)" %n

4%n*


16/83

INTRODUCTION TO BEVEL

GEAR#B),)- /)*& t*n&.%t +!) 3)t))nt! %nt)&)$t%n/ &*(t& *t *n' *n/-) !

3)t))n n!nC %nt)&)$t%n/ &*(t&; T)'

*) $-*&&%(%)" *& &t*%/t *n" &+%*-

t!!t 3),)- *n" '+!%" /)*&

Bevel gearsare $ears%&ere t&e

a'es of t&e t%o s&afts intersect

and t&e toot&()earin$ faces of t&e

$ears t&e"seves are conicay
http://en.wikipedia.org/wiki/Gearshttp://en.wikipedia.org/wiki/Gears


17/83

Beve $ears are "ost often

"ounted on s&afts t&at are +,

de$rees a!art- )ut can )e

desi$ned to %or. at ot&er an$es

as %e* T&e !itc& surface of

)eve $ears is a cone*

Beve $ear in

roer s&utter door*
http://en.wikipedia.org/wiki/Cone_(geometry)http://en.wikipedia.org/wiki/Cone_(geometry)


18/83

Inde!endenty fro" t&e o!eratin$ an$e- t&e $ear a'es "ust

intersect

/at t&e !oint O0

B),)- /)* -%(t& (-!!"/*t)3' .)*n& !( $)nt*- &$);
http://en.wikipedia.org/wiki/Floodgatehttp://en.wikipedia.org/wiki/Floodgate


19/83

BEVEL RING GEAR ON THEREAR WHEEL OF ASHAFT-DRIVEN BICYCLE

#!ira )eve $ear ( 1F

Friedric&s&afen
http://en.wikipedia.org/wiki/Shaft-driven_bicyclehttp://en.wikipedia.org/wiki/Shaft-driven_bicycle


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GEOETRY AND TERINOLOGY

Fi$(2


21/83

W)n %nt)&)$t%n/ &*(t& *) $!nn)$t)" 3' /)*&? t) +%t$ $!n)&

*n*-!/!#& t! t) +%t$ $'-%n")& !( &+# *n" )-%$*- /)*& *)

t*n/)nt *-!n/ *n )-).)nt? %t t)% *+)


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Fi$(3 Beve $ear no"encature


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%&ere 1v is caed t&e virtua nu")er of teet&- !

is t&e circuar !itc& of )ot& t&e i"a$inary s!ur

$ears and t&e )eve $ears* 12 and 13 are t&e

nu")er of teet& on t&e !inion and $ear- 42 and

43 are t&e !itc& cone an$es of !inion and $ears*

It is a !ractice to c&aracteri5e t&e si5e and s&a!e

of )eve $ear teet& as t&ose of an i"a$inary s!ur

$ear a!!earin$ on t&e deveo!ed )ac. cone

corres!ondin$ to Tred$od6s a!!ro'i"ation*


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B),)- /)* t))t *) %n))nt-' n!n C %nt)$*n/)*3-);

T) !=%n/ ")+t !( t) t))t %& #*--' 2.? t) &*.) *&

(! &t*n"*" &+# *n" )-%$*- /)*&? 3#t t) 3),)- +%n%!n %&

")&%/n)" %t t) -*/) *"")n"#. 0;7 !=%n/ ")+t;

T%& *,!%"& %nt)())n$) *n" )-t& %n &t!n/) +%n%!n t))t;

It *-&! %n$)*&)& t) $!nt*$t *t%!;

T) /)* *"")n"#. ,*%)& (!. 1. (! * /)* *t%! !( 1? t!

0;5> . (! *t%!& !( 6;@ *n" /)*t);


25/83

NOTESMT%o i"!ortant conce!ts in $earin$ are pit!

s"r#aeand pit! a$gle* T&e !itc& surface of a$ear is t&e i"a$inary toot&ess surface t&at you%oud &ave )y avera$in$ out t&e !ea.s andvaeys of t&e individua teet&* T&e !itc& surface

of an ordinary $ear is t&e s&a!e of a cyinder* T&e!itc& an$e of a $ear is t&e an$e )et%een t&eface of t&e !itc& surface and t&e a'is*MT&e "ost fa"iiar.inds of )eve $ears &ave !itc& an$es

of ess t&an +, de$rees and t&erefore are cone(s&a!ed*T&is ty!e of )eve $ear is caed e%ter$al)ecause t&e$ear teet& !oint out%ard* T&e !itc& surfaces of "es&ede'terna )eve $ears are coa'ia %it& t&e $ear s&afts7 t&e

a!e'es of t&e t%o surfaces are at t&e !oint of intersectionof t&e s&aft a'es*

M eve $ears t at ave ! tc an$ es o


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M eve $ears t at ave ! tc an$ es o$reater t&an ninety de$rees &ave teet&t&at !oint in%ard and are caed i$ter$al

)eve $ears*MBeve $ears t&at &ave !itc& an$es ofe'acty +, de$rees &ave teet& t&at !oint

out%ard !arae %it& t&e a'is and rese")et&e !oints on a cro%n* T&at8s %&y t&is ty!eof )eve $ear is caed a r&'$$ear*M9iter $earsare "atin$ )eve $ears %it&

e:ua nu")ers of teet& and %it& a'es atri$&t an$es*M#.e% )eve $earsare t&ose for %&ic& t&e

corres!ondin$ cro%n $ear&as teet& t&at
http://en.wikipedia.org/w/index.php?title=Miter_gears&action=edit&redlink=1http://en.wikipedia.org/w/index.php?title=Skew_bevel_gears&action=edit&redlink=1http://en.wikipedia.org/wiki/Crown_gearhttp://en.wiktionary.org/wiki/obliquehttp://en.wikipedia.org/wiki/Crown_gearhttp://en.wikipedia.org/w/index.php?title=Skew_bevel_gears&action=edit&redlink=1http://en.wikipedia.org/w/index.php?title=Miter_gears&action=edit&redlink=1


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T(pes

Beve $ears are cassi;ed in di


28/83

Straig!t )evel gears &ave conica !itc&surface and teet& are strai$&t and ta!erin$

to%ards a!e'*Spiral )evel gears &ave curved teet& at anan$e ao%in$ toot& contact to )e $radua ands"oot&*

*er&l )evel gears are very si"iar to a )eve$ear ony e'ce!tion is t&e teet& are curved= t&eends of eac& toot& are co!anar %it& t&e a'is- )utt&e "idde of eac& toot& is s%e!t

circu"ferentiay around t&e $ear* 1ero )eve$ears can )e t&ou$&t of as s!ira )eve $ears/%&ic& aso &ave curved teet&0 )ut %it& a s!iraan$e of 5ero /so t&e ends of t&e teet& ai$n %it&t&e a'is0*


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H(p&i+ )evel gearsare si"iar to s!ira )eve )ut t&e!itc& surfaces are &y!er)oicand not conica* >inion can

)e o


30/83

Stra(ht "e,e* (ears

T)&) *) /)*& $#t (!. $!n%$*- 3-*n=& *n" $!nn)$t

%nt)&)$t%n/ &*(t *:1;


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Straig!t Bevel Gear

Ter,i$&l&g( Straig!t Bevel Gear F&re e"ati&$s

N&,e$lat"re


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N&,e$lat"re

5! Nu")er of teet& on !inion

5$ Nu")er of teet& on !inion

>ressure An$e of Teet&*

! >itc& An$e /!inion0**** tan(2/5

! 5

$0

$ >itc& An$e /$ear0**** tan(2/5

$ 5

!0

> ! >o%er at >inion s&aft /.0

n! Rotationa s!eed of !inion s&aft /revs"in0

d! >inion >itc& Circe dia"eter /""0

9! tor:ue on !inion s&aft /N"0

Fs #e!aratin$ Force /N0

F! >inion T&rust /N0

F$ Gear T&rust /N0


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0ORCE ANALYSIS

0(. 12.3 Gear t!!th $!r+es


34/83


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*er&l Bevel Gears

T&e advanta$e of 1ero )eve $ears co"!ared to strai$&t )eve

$ears is t&at t&ey o!erate %it& a s"oot& ocaised !oint contact as

o!!osed to a ine contact ena)in$ s"oot&er o!eration %it& o%

vi)ration eves and &i$&er s!eeds* Because t&ere is no s!ira an$e

and no additiona deveo!ed t&rust t&ese $ears can )e used as

direct re!ace"ents for strai$&t )eve $ears* T&ese $ears nor"ay

&ave a !ressure an$e of 3, o* T&e "ini"u" nu")er of teet& on

t&e !inion is 2* T&e desi$n of 1ero $ears is reativey s!eciaised

and t&ey are "anufactured usin$ s!ecia Geason "ac&ine toos**


37/83

#!ira Beve Gear

T)&) *) +!"#$)" #&%n/ *

&+%*- /)* (!. %$ )-t& %n

* &.!!t) "%,) %t*3-) (!

%/) &+))" %/) -!*")"

*++-%$*t%!n&; A/*%n &*t%&(*$t!'

+)(!.*n$) !( t%& t'+) !( /)*

%& -*/)-' ")+)n")nt #+!n t)

%/%"%t' !( t) 3)*%n/& *n"

.!#nt%n/&;


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n Nor"a >ressure an$e** !itc& cone an$e4 Hei' an$e

inion T&rust F! F

t /tan

nsin cos 4 0 J tan cos K

Note= / 0 if &ei' an$e is as s&o%n and / (0 if &ei' an$e iso!!osite to t&at s&o%n

Hy!oid $ears are )est for t&e a!!ications re:uirin$ ar$e s!eed


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Hy!oid $ears are )est for t&e a!!ications re:uirin$ ar$e s!eed

reductions %it& non intersectin$ s&afts and t&ose a!!ications

re:uirin$ s"oot& and :uiet o!eration* Hy!oid $ears are $eneray

used for auto"otive a!!ications* T&e "ini"u" nu")er of teet& for

s!eed ratios $reater t&an ? =2 is ei$&t at&ou$& ? teet& !inions can )e

used for ratios )eo% ?=2* Hy!oid $ears &ave !ressure an$es

)et%een 2+ and 33o* T&e desi$n of &y!oid $ears is reativey

s!eciaised and t&ey are "anufactured usin$ s!ecia Geason

"ac&ine toos**

i i ) i d i d i &


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Desi$nin$ )eve $ears is nor"ay done in accordance %it&

standards as isted under s!eci;cations a)ove= T&e notes )eo%

reate to a!!ro'i"ate "et&ods for esti"atin$ $ear stren$t&s*

T&e "et&ods are reay ony usefu for ;rst a!!ro'i"ations

andor seection of stoc. $ears /ref in.s )eo%0* M Detaied

desi$n of )eve $ears s&oud ony )e co"!eted usin$ t&e

reevant standards* Boo.s are avaia)e !rovidin$ t&enecessary $uidance* #oft%are is aso avaia)e "a.in$ t&e

!rocess very easy*

T&e e:uations are )asicay "odi;ed s!ur $ears e:uations usin$

a s!ur $ear e:uivaent nu")er of teet& 5e

E:uivaent Nu")er of teet& on $ear 5 e$ 5 $ cos $


41/83

*er& )evel gears

T) F%/; %--#&t*t)& )! 3),)- /)*&? %$ *) *,%n/

$#,)" t))t -%=) &+%*- 3),)-&; B#t t)' *,) * )!

&+%*- *n/-);


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Co"!arison of intersectin$ and o


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Miter gears


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"*, " C 3 &%n

,*, "*,n 96000

Ft 10009 8*,

W)) 8*,%& %n .)t)& +) &)$!n"? "*,%& %n .)t)&? n

%& %n ),!-#t%!n& +) .%n#t)? Ft %& %n N *n" W %& +!)

%n =W;

Fn Ft 9 $!&4

F Fn $!&4

F* Fn &%n .


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TOOTH BENDING STRESS =(

T) )#*t%!n (! 3),)- /)* 3)n"%n/ &t)&& %& t) &*.) *& (!

&+# /)*&;

53 FtK,K!K.9 3.J

W))?

FtT*n/)nt%*- -!*" %n N

..!"#-) *t t) -*/) )n" !( t) t!!t %n ..

3 F*$) %"t %n ..

G)!.)t' (!. (*$t! 3*&)" !n ,%t#*- n#.3) !(t))t;

K, 8)-!$%t' (*$t!

K! O,)-!*" (*$t!

K. !#nt%n/ (*$t! ;

N",)er teet! i$ gear #&r '!i!


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gge&,etr( #at&r. is +esire+/ press"re a$gle 01& a$+ s!a#ta$gle 21&


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K, 8)-!$%t' (*$t!

K! O,)-!*" (*$t!

K. !#nt%n/ (*$t!

")+)n"%n/ !n )t) /)*& *) &t*""-) .!#nt)" 3)t))n t! 3)*%n/& ! !,)#n/

!#t3!*" !( 3!t 3)*%n/&? *n" !n t) ")/)) !( .!#nt%n/ %/%"%t' *& &!n %n *3!,)

t*3-)


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N",)er teet! i$ gear #&r '!i! ge&,etr( #at&r.

is +esire+/ press"re a$gle 01&/ spiral a$gle 34& a$+

s!a#t a$gle 21

&


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Nu"erica


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Nu"erica E'(2


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E'(3


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A !air of )eve $ears is trans"ittin$ 2, . fro" a !inion rotatin$ at ?,,r!" to $ear

d & f &i & i & i i & f f ?,


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"ounted on a s&aft %&ic& intersects t&e !inion s&aft at an an$e of ?,o*T&e !inion &asan outside !itc& dia"eter of 3,, ""- a !ressure an$e of 3,o and aface %idt& of ,""- and t&e $ear s&aft is rotatin$ at 3,, r!"* Deter"ine / a 0 t&e !itc&an$es for t&e$ears- / ) 0 t&e forces on t&e $ear- and / c 0 t&e tor:ue !roduced a)outt&e s&aft a'is

Data= 2, .- n2 ?,, r!"- n3 3,, r!" -#&aft an$e= 42 43?,o

- T&e se"i !itc& cone an$es are s&o%n in Fi$*2*2* -d2 3,, ""- P 3,o

and ) ,""*

r2 ,*Q d2 ,*Q'3,, 2,, ""r3 , Q d3 , Q'?,, ,, ""


67/83

r3 ,*Q d3 ,*Q'?,, ,, ""42 ( 43 ?, ?*2 2*+o

r3av r3 ,*Q)sin 43 ,, ( ,*Q',' sin?*2 3@Q*Q+""

r2av r2 ,*Q)sin 42 2,, ( ,*Q',' sin2*+ +Q*3 "" &0 & & 0 si$ si$51 ta$6 7 7 7891320 8 8 :&s:&s51 i 3 6 7;598 S&l"ti&$< =)>V2 Sd2avn2 ?,,,, S ' /3'+Q*30'?,, ?,,,,

Q*+@ "sF3a Fnsin Psin43 2@,' sin3,o sin?*2o + NF3r Fnsin Pcos43 2@,' sin3,o cos?*2o 33 NS&l"ti&$< =>Tor:ue Ft ' /,*Qd3av 0 ' 2,(

2? ' /,*Q' 3@Q*Q+0 ' 2,(

3@*+ N"


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THAN OU


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Abdul Bari (Dome)

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