CALCULO ENGRANAJE A DIENTES RECTOS
RESISTENCIA: LEWIS / BARTH / BUCHINGAM / KIMBALL DESGASTE DATOS
CALC.
MAUINA CONDUCIDA : MUINA MOTORA: ( N ! ?OTENCIA MOTORA EN EL ?ION (H?! ($)n6*+',n+) )6 'n+**'n4)6 +' )6 '''n4)6 *n4''+*)6! 0.2"#3 ( n$ ! % &')$*+,+ ,ng, +' , $))n, 1.00 ( n ! % &')$*+,+ ,ng, +' *)n .00 ( * ! % n$ / n RELACIN DE TRANSMISIN (&')$*+,+ $)n+$4) / &')$*+,+ $)n+$*+)! .00 ( α = φ ! ANGULO ANGULO DE ?RESIN ?RESIN 6' ,+)4, ' &,) 96 4**,+) 7 '$)'n+,+) ( ! % ',$*n ANCHO / ?ASO ?ASO ,, $)n+*$*)n'6 n),'6 7 g'n','6 6' '$)*'n+, ' ' ,n$) +' +*'n4' n) 6'' 10 M E. Ing. C)6' 9g. 31; ,$)n6'F, =2-3 8n+*+)6 6*n ,*n, 7 )n4,F' >+)P 3-4%8'6,+)6 7 ,)7)6 $)n'6P 4-5%4,,+)6 7 'F'6 g*+)6 $)n '$'. ,)7 S'g5n n),6 IRAM 6' +,n )6 &,)'6 )'+*) +' )6 ,$')6 ,*n,+)6 'n $,*'n4' 7 8n+*$*)n'6 96 4**,+)6. g/2! -(HB! rot ( g/2!-(HB!
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LEWIS ($)n6*+', ' n +*'n4' ,>6)>' 4)+, , $,g, 7 ) $,$, , , 8'*)n '6494*$, $)) n, &*g, ')4,+,! adopta SAE 10" 6*n 4,4,*'n4) MATERIAL se adopta SAE 4,4,*'n4) T'n6*n ,+*6*>' σ,+. % σ)4 / 3 (g/2! N),6 IR ;2.0" 20.;< se adopta: )$'6) +' 8,>*$,$*n: 8'6,+) $)'$*, 7 6*64', +' )n4,F': )n4,F': '649n+, $)n ,)7)6 $)n'6 ( ! % ANCHO / ?ASO ?ASO 'n 8n$*n +' ) ,n4'*) ( ! NUMERO DE DIENTES (*n! ,, α % 20 Q n*) % 1# +*'n4'6 (?9g. 21! ( 7 ! =ACTOR DE =ORMA (8n$*n +' 9ng) +' '6*n n), ,4, $)'4, 7 +' n5') +' +*'n4'6! ( 7 ! =ACTOR DE =ORMA (4,>, 3 ?9g. 2#! 0.100 ?,, 20 +*' (ML) ( ! MODULO n*) 6/ L'*6 % 7 ! " # (H! ! ad$. (g/$2! % &p 'p (! !3 (?9g. 30! 3.93 ( > ! ANCHO DEL DIENTE % ρ ML π (! 3#.#0 ( +1 ! DIMETRO ?RIMITIO ?RIMITIO ?ION % ML (! #;.00 ** ERI=ICAR ' ' +*9. **4*&) (+1! 6', ,7) ' ' ,n$) ,+)4,+) (>! (6g'*+) D+'7 9g. "0 M)44 9g. "3@! 3<.00 ad$. (g/2! =UERA UE RESISTE EL DIENTE ( S/ LEWIS! +,L (g! = , (! % ML (! @<#.2 CARGA UE ACTUA SOBRE EL DIENTE (g! = 7.2 # (H?! ! " ' (! /5 dp ($! @32.3<
D*8''n$*, 'n4' , 8', ' '6*64' ' +*'n4' 7 , $,g, ,$4,n4'
+'>' 6' % , $')
SOBREDIMENSIONADO SOBREDIMENSIONADO ( ! 100 ('6*64'n4' - ,$4,n4' / ,$4,n4'! 6' ,$)n6'F, ,$)n6'F, n) 96 +' 10
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0A1T ( 4*'n' 'n $'n4, ' *,$4) g'n',+) +'>*+) , , &')$*+,+ 7 , , '$*6*n +' 8,>*$,$*n ! adopta SAE 10" MATERIAL se adopta SAE 10" σ,+. % σ)4 / 3 (g/2!
por defecto se mantiene el de Lewis
ρ
( ! NUMERO DE DIENTES (*n! ( 7 ! =ACTOR DE =ORMA
(M0a ) MODULO 6'g5n B,4 6' ,+)4, 7 6' &'*8*$,
por defecto se mantiene el de Lewis por defecto se mantiene el de Lewis
(4,>, 3 ?9g. 2#!
3.00 1@ 0.0@< 4.00
por defecto se mantiene el adoptado en Lewis
( > ! ANCHO DEL DIENTE % ρ MLB, π (! 3<.00 ( +1 ! DIMETRO ?RIMITIO ?ION % L (! ** ERI=ICAR ' ' +*9. **4*&) (+1! 6', ,7) ' ' ,n$) ,+)4,+) (>! (6g'*+) D+'7 9g. "0 M)44 9g. "3@! ( ! EL. EN LA CIRC. ?RIMITIA ?RIMITIA (/*n! (2 π 0 +1 n 0001! ( & & ! ! 8,$4) '8'$4)6 +*n9*$)6 / 'ng,n,F'6 '$4)6 $)*'n4'6 7 , ;00/*n = 3 ! (36p) (36p) ( ?9g. 30! ( ? ! =UERA UE ACTVA SOBRE EL DIENTE (g! % 7.2 # ! ' /5 dp ad$.(g/$2! 8 ( ?9g. 2< ! ( =>B ! =UERA UE RESISTE EL DIENTE SEGVN BARTH +,0 (g! = , (! % M0a (!
D*8''n$*, 'n4' , 8', ,+*6*>' 6'g5n B,4 7 , ' ,$45, 6)>' ' +*'n4' (g! (?9g. 2' 6' % , $')
SOBREDIMENSIONADO SOBREDIMENSIONADO ( ! 100 ('6*64'n4' - ,$4,n4' ,$4,n4' / ,$4,n4'! 6' ,$)n6'F, n) 6 +' 10
3.
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09C8I#AM ( ,+*$*)n, n, 8', +*n9*$, +'>*+) , , ,$'',$*n ) ')'6 +' 4,,+) 7 ,6 ,6,6 'n F'g) ! adopta SAE 10" MATERIAL se adopta SAE 10" σ,+. % σ)4 / 3 (g/2!
por defecto se mantiene el de Barth
ρ
por defecto se mantiene el de Barth por defecto se mantiene el de Barth
;2.0" 3
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4.00
( > ! ANCHO DEL DIENTE % ρ MB π (! ( +1 ! DIMETRO ?RIMITIO ?RIMITIO ?ION % MLB, (! ( ! EL. EN LA CIRC. ?RIMITIA ?RIMITIA (/*n! (2 π 0 +1 n 0001! ( ',+ ! ') ,+*6*>' 9*) 8n$*n +' , &')$*+,+ 'n , $*$n8''n$*, $*$n8''n$*, **4*&, P =*g. "" ( ?9g. ?9g. 30 ! ( ' ! ') '6',+) ()>,>'! +' +*'n4' 8n$*n +' M+) 7 , 8,>*$,$*n 8,>*$,$*n ,+)4,+,P =*g. " ( ?9g. 30 ! 6' +'>' $* ' ' ') '6',+) 6', 'n) ' ' ') ,+*6*>' ( ! $)'8*$*'n4' 8n$*n +' ') +' +*'n4'. S* ' 9ng. '6 20Q 7 ,4, $)'4, &,' = / ep ( ?9g. 2@ ! M,4'*, +' *)n SAE 10" M,4'*, +' , $))n, SAE 10" ,, ,$') C % E E$ / (E E$! +)n+' E +) +' ',6. 4,n6. ( ?9g. ?9g. 2@ ! 4,>, # ( ?9g. 31! 'n4,n+) $)n ' ') +' 8*g. " =UERA UE ACTUA SOBRE EL DIENTE $,g, 4,6n*4*+, (g! = 7.2 # ! ( ' /5 dp ) (∆?! =UERA ADICIONAL DINMICA (g! '8'$4) +*n9*$) ) ') +' 8,>*$,$*n 7 ,4'*,'6 ( ?9g. 2@ ! D = " /3 p ( 6 , C) ! " /3 p 6 ( 6 , C ) !2 ' ,n$) > +'>' '64, 'n $ ?+ % ( ? D? ! CARGA DINMICA ( 6)>' ' +*'n4' 6'g5n B$*ng, !
38.00
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Ing. JUAN CARLOS MUSSANO ( 2003-201! 2003-201!
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CALCULO ENGRANAJE A DIENTES RECTOS
RESISTENCIA: LEWIS / BARTH / BUCHINGAM / KIMBALL DESGASTE L<$te de >at?a ,, >at?a ,, ,$') (,)! % 0 σ)4. (g/2!
SAE 10" T,>, ; ( ?9g. 30 !
T'n6*n ,+*6*>' , , 8,4*g, 6' $)n6*+', n 8,$4) +' 6'g*+,+ +' 3
;2.0" 31.02
31.02 3 #.32
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3.2
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SOBREDIMENSIONADO SOBREDIMENSIONADO ( ! 100 ('6*64'n4' - ,$4,n4' / ,$4,n4'! 6' ,$)n6'F, ,$)n6'F, n) 96 +' 10
8IM0ELL ( $)*g' , $,g, +*n9*$, +' B$*ng, 7, ' 4*'n' 'n $'n4, 6 8), +' ,*$,$*n ! (MK! M+) n'$'6,*) 6/ K*>, ( ρ ! ANCHO / ?ASO ( > ! ANCHO DEL DIENTE (! ( 7 ! =ACTOR DE =ORMA ( ?9g. 2 ! ( +1 ! DIMETRO ?RIMITIO ?RIMITIO ?ION % L (! ( ! ELOCIDAD EN LA CIRCUN=ERENCIA CIRCUN=ER ENCIA ?RIMITIA (/*n! 7 .2 # ! ( ' /5 dp ) ( ? ! CARGA TRANSMITIDA (g! = (g! = 7.2 ( D? ! =UERA ADICIONAL DINMICA (g! ( ?+ ! CARGA DINMICA ( 6)>' ' +*'n4' 6'g5n B$*ng, ! ( ! 4*) +' $,g,P &,' % 12 $,g, $4'. 6*n $)'P 13 $. )6$*,n4' / $)' 6,&'P 10 $. $/ $)'6 8'4'6. ( ?9g. 31! ( d0 ! CARGA DINMICA ACTUANTE ACTUANTE ( B$*ng, $)'g*+, ) K*>,! (g! MATERIAL se adopta SAE adopta SAE 10" 10" T'n6*n ,+*6*>' σ,+. % σ )4, / 3 (g/2! ( ?9g. 2 ! ( => ! =UERA RESISTENTE RESISTENTE SEGVN LEWIS +, (?) = , % p te's@' ad$. ad$. D*8. 'n4' , 8', '6*64'n4' 6/ L'*6 7 , $,g, +*n9. B$*ng,-K*>, (?9g. 31! +'>' 6' % , $') SOBREDIMENSIONADO SOBREDIMENSIONADO ( ! 100 ('6*64'n4' - ,$4,n4' / ,$4,n4'! 6' ,$)n6'F, ,$)n6'F, n) 96 +' 10
5.00
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CO#CE#T1ACI# DE TE#SIO#ES ( TE#SIO#ES ( 'n , >,6' +' +*'n4' ,7 $)n$'n4,$*n +' 4'n6*)n'6 '+'n ,,'$' 8*6,6 ! (MC4 ! M+) ! M+) n'$'6,*) 6/ C)n$'n4,$*n +' 4'n6*)n'6 ( ρ ! ANCHO / ?ASO ( > ! ANCHO DEL DIENTE (! ( 7 ! =ACTOR DE =ORMA (4,>,+)! ( +1 ! DIMETRO ?RIMITIO ?RIMITIO ?ION % L (! ** ERI=ICAR ERI=ICAR ' ' +*9'4) **4*&) **4*&) (+! 6', ,7) ' ' ,n$) ,+)4,+) ( > ! (9g. "3@ M)44! ( ! ELOCIDAD EN LA CIRC. ?RIMITIA (/*n! ( ? ! CARGA TRANSMITIDA (g ! = 7.2 # ! ( ' /5 dp ) ( D? ! =UERA ADICIONAL DINMICA (g! ?+ % ( ? D? ! CARGA DINMICA ( 6)>' ' +*'n4' 6'g5n B$*ng, ! ( K4 ! 8,$4) 4'*$) +' $)n$. +' 4'n6*)n'6 8n$*n +' (7! +' (! 7 9ng) +' '6*n ( 6/ 8, ?9g. 3" ! ( ! 6'n6. , , 'n4,, ( 8. g*6% 0P 1020% 0P 10" 6/ 4,4. % 0;P "1"0% 0<0P "1"0 4. 7 '&. % 0@P ,4, ,',$. 4'.%1! K8 % % 1 (K4 - 1! 8,$4) 86*$) +' $)n$'n4,$*n +' 4'n6*)n'6 4'n6*)n'6 (+''n+' +' ,4'*,! ( 8> d ! d ! CARGA DINMICA CORREGIDA ( ) $)n$'n4,$*n +' 4'n6*)n'6 ! T'n6*n T'n6*n +*n9*$, 6/ B$*ng, B$*ng, $)'g*+, % 8> d d ! , % MCt MCt 3/4 3/4 L<$te de >at?a >at?a ,, ,$') ( ,) ! 0 σ )4 (g/2! SAE 10" ( ) 6*n) +' T,>, T,>, ; 9g. 30 !
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3.00 33.00
0.100 @0.00 #.00 +'>' 6' 1."1 #<# @ #@# 1.;" 0.; 1."1 112; 21.# ;2.0 31.0
@.30 30.0
09C8I#AM ( 8,, 6'8*$*, ) 4'n6*)n'6 +' $)n4,$4) - *$,+, +' 8,n$) ! (D! M+) (D! M+) n'$'6,*) ,, '6*64* , +'6g,64' ( ρ ! ANCHO / ?ASO ( > ! ANCHO DEL DIENTE (! ( +1 ! DIMETRO ?RIMITIO ?RIMITIO ?ION % L (! ( ! ELOCIDAD EN LA CIRC. ?RIMITIA (/*n! ( ? ! CARGA TRANSMITIDA (g! ( D? ! =UERA ADICIONAL DINMICA (g! ?+ % ( ? D? ! CARGA DINMICA ( 6)>' ' +*'n4' 6'g5n B$*ng, !
"#.12
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SOBREDIMENSIONADO SOBREDIMENSIONADO ( ! 100 ('6*64'n4' - ,$4,n4' / ,$4,n4'! 6' ,$)n6'F, ,$)n6'F, n) 96 +' 10
5.00
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5.00
3.00 33.00
"#.12
1< @0.00 1."1 #<# 10 #@#
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CALCULO ENGRANAJE A DIENTES RECTOS
RESISTENCIA: LEWIS / BARTH / BUCHINGAM / KIMBALL DESGASTE RESULTADO M+) An$) (! / $ ( ,+)4, n) 96 ,, , $))n, ! (D'4.! DIAMETRO EXTERIOR % M (2! ( !P ?* ?*n / C))n, ( +1 ! DIMETRO ?. ?IN (! ( +2 ! D. ?RIMITIO CORONA ( C ! DISTA DISTANCIA NCIA E/ CENTROS ')$*+,+ ')$*+,+ 'n , $*$n8''n$*, **4*&, (/6'g! M,4'*, ?*n % SAE 10" ,*n,+) 'n $,*'n4'P M,4'*, C))n, % SAE SAE 10" ,*n,+) 'n $,*'n4' ?'6) $))n, ,)*,+) ( ,$')! (g!
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CALCULO ENGRANAJE A DIENTES RECTOS
RESISTENCIA: LEWIS / BARTH / BUCHINGAM / KIMBALL DESGASTE ADO.
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CALCULO ENGRANAJE A DIENTES RECTOS
RESISTENCIA: LEWIS / BARTH / BUCHINGAM / KIMBALL DESGASTE 10.3" > ó = a 0
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CALCULO ENGRANAJE A DIENTES RECTOS
RESISTENCIA: LEWIS / BARTH / BUCHINGAM / KIMBALL DESGASTE .00 3 @1 ";.00 2#2.0