256322126 Solucionario Groover
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PREGUNTAS DE REPASO Y RESOLUCIÓN DE PROBLEMAS DEL LIBRO “FUNDAMENTOS DE MANUFACTURA MODERNA” ASIGNATURA: PROCESOS AVANZADOS DE MANUFACTURA P R E S E N T A: IRVING VÁZQUEZ HUERTA DOCENTE: DR. JUAN MANUEL ESPINOZA CUADRA MAESTRÍA: TECNOLOGÍA AVANZADA DE MANUFACTURA HUAJUAPAN DE LEÓN OA!. IRVING VÁZQUEZ HUERTA PROCESOS DE MANUFACTURA
CAPITULO " PREGUNTAS DE REPASO ".". #C$%&'( ()* &+( ,-'/'*0-+( '*1/' &+( -*,$(1/-+( 2/-3+/-+ ('0$*,+/-+ 4 1'/0-+/-+5 P/)2)/0-)*' $* '6'32&) ,' 0+,+ 0+1'7)/8+. I*,$(1/-+ P/-3+/-+. C$&1-9+* 4 '2&)1+* /'0$/()( *+1$/+&'( 1+&'( 0)3) &+ +7/-0$&1$/+ 4 &+ 3-*'/8+. I*,$(1/-+ S'0$*,+/-+. T)3+* &+( (+&-,+( ,' &+( 2/-3+/-+( 4 &+( 0)*9-'/1'* '* ;-'*'( ,' 0)*($3) 4 0+2-1+& 0)3) &+ -*,$(1/-+ +$1)3)1/- ,--'/' $* 2/)0'() ,' )/3+,) ,' $*+ )2'/+0-* ,' 2/)0'(+3-'*1) ,' $*+ ($2'/-0-'5 L)( 2/)0'()( ,' )/3+,) +&1'/+* &+ 7')3'1/8+ )/-7-*+& ,'& 3+1'/-+& ,' 1/+;+6) 3-'*1/+( ?$' &+( )2'/+0-)*'( ,' 2/)0'(+3-'*1) ,' ($2'/-0-'( (' '6'0$1+* 2+/+ &-32-+/ 1/+1+/ /'0$;/-/ ) ,'2)(-1+/ 3+1'/-+& ();/' &+ ($2'/-0-' ,' &+ 2-'0-3'* +&&+ -*+&3'*1'. 0 &+ 0+/7+ 3%-3+ ,-9-,-,+ '*1/' '& %/'+ )/-7-*+& ,'& '(2>0-3'*. .. S- (' 3-,-'/+* &)( 9+&)/'( ,' '($'/0-3'* (' '(1/+*7$&+ 2+/+ $* %/'+ ,' K.= -*= ,'1'/3-*' &+ /',$00-* 2)/0'*1$+& ,'& %/'+. + EL L W LK LK S$(1-1$4'*,): EL =.= W = K.= K. = = ; AR AK W A
AK S$(1-1$4'*,): AR K. W K.= K.= K. K K. K. . D$/+*1' $*+ 2/$';+ ,' 1'*(-* '* &+ ?$' &+ &)*7-1$, ,' 3',-0-* -*-0-+& '( ,' "=.K 33 4 '& %/'+ ,' &+ ('00-* 1/+*(9'/(+& '( ,' =. 33= (' /'0+;+* &)( ,+1)( (-7$-'*1'( ,' $'/0-3'* 9 "=33=.33= "=.33 S'&'00-)*+3)( ,)( 2$*1)(: " = K= N 4 L "".= 33 = = " N 4 L ".K" 33 " A VL "=. "".=33 .= 33= D')/3+0-* =K= N ." MP+ .= 33= D')/3+0-* /'+&: &* L LK S$(1-1$4'*,): ϵ &* "".= &*".K K.K "= = A VL "=. ." 33= ".K"33 D')/3+0-* =" N ��. � MP+ ." 33= D')/3+0-* /'+&: &* L LK S$(1-1$4'*,): ϵ &* ".K" &*"." K."= "=
C$/9+ ,' &$6) '* &+ /'7-* 2&%(1-0+: ϵ* IRVING VÁZQUEZ HUERTA PROCESOS DE MANUFACTURA
" ." MP+ K.K* 4 = .K MP+ K."=* K."= * .K ."K K.K ". .=* &*". * &*.= K. ".=K"* K. * ∴ * K.=8 ".=K" E*0)*1/+3)( '& 9+&)/ ,' " ."K MP+ K.KK.=K ."K K=.K MP+ K.= = . MP+ K."=K.=K . K. MP+ K.KK S+0+3)( '& 2/)3',-) ,' &)( +01)/'( 1>3'*)(: K. MP+ E0$+0-* ,' 0$/9+: K.K.=K . E* $*+ 2/$';+ ,' 1'*(-* ();/' $* '(2>0-3'* ,' 3'1+& &+ ,')/3+0-* 9'/,+,'/+ '( ,' K.K 0)* $* '($'//3-*) ,')/3+0-* 9'/,+,'/+5 + L+ ,')/3+0-* -*7'*-'/-&: L W LK ϵ LK S$(1-1$4'*,) '* &+ /3$&+: ""K33 W .K 33 ϵ K.33 .K33 ; D')/3+0-* 9'/,+,'/+: L ϵ &* LK S$(1-1$4'*,) '* &+ )/3$&+ 1>3'*)(: ""K ϵ &* &*". K.= 0 " L .K + K.K 33 K33 W .K 33 ϵ K.K33 .K33 = L K.K + .K 33 33 W K.K 33 ϵ K.K33 K.K33 K L .K + K.K 33 K33 W .K 33
ϵ K.K33 .K33 L K.K + .K 33 33K.K 33 ϵ K.K33 K.K33 K L .K + "KK.K 33 "KK33 W .K 33 ϵ K.K=33 .K33 L"KK.K + "K.K 33 4 "K33 W "KK.K 33 ϵ K.KKK33 "KK.K33 "KK IRVING VÁZQUEZ HUERTA PROCESOS DE MANUFACTURA
L "K.K + ""K.K 33. ϵ ""K33 W "K.K 33 K.K33 "K.K33 "K [K.K \ ] K.K K. ⋯
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ϵ " " ϵ D')/3+0-* 9'/,+,'/+: ϵ &* L LK = K. " + S8 &+ ,')/3+0-* -*7'*-'/-& '(1% '* 0)32/'(-* '*1)*0'( '& (-7*) 0+3;-+ W" ; S8 &+ ,')/3+0-* 9'/,+,'/+ '(1% '* 0)32/'(-* '*1)*0'( '& (-7*) 0+3;-+ ϵ WK. ϵ &* E*1)*0'( (- 1'*'3)( '* '($'/0-3'* 4 D) '( ($ ,-%3'1/) )/-7-*+&. IRVING VÁZQUEZ HUERTA PROCESOS DE MANUFACTURA
D')/3+0-* 9'/,+,'/+: L ϵ &* LK E& 9)&$3'* 0)3) 0)*(1+*1': V AK LK AL LLK AK A E& %/'+: A ^D= 4 AK ^D=K ^D=K DK AK A = = ^D D ϵ &* DK = ( ⁄ D D'3$'(1/' ?$' &+ ,')/3+0-* 9'/,+,'/+ '( -7$+& + &*" ] ' ,)*,' ' ,')/3+0-* ,' -*7'*-'/8+. ϵ &*" ] ' P)/ ,'-*-0-* 1'*'3)( ,' &+ ,')/3+0-* 9'/,+,'/+: L ϵ &* LK Y &+ ,')/3+0-* -*7'*-'/-&: L W LK ' LK L LK L ' W W" LK LK LK E*1)*0'(: L "]' LK P)/ ,'-*-0-* 1'*'3)(: ( ] ." C)* ;+(' '* &)( /'($&1+,)( ,' $*+ 2/$';+ ,' 1'*(-* &+ 0$/9+ ,' &$6) 1-'*' &)( 2+/%3'1/)( (-7$-'*1'(: '& '2)*'*1' ,' '*,$/'0-3-'*1) 2)/ ,')/3+0-* '( ,' K.K 4 '& ,' /'(-(1'*0-+ '( ,' ". MP+. C)* ;+(' '* '(1+ -*)/3+0-* 0+&0$&' &+ /'(-(1'*0-+ + &+ 1'*(-* ,' -*7'*-'/8+ ,'& 3'1+& F/3$&+ ,' '*,$/'0-3-'*1): ϵ* D*,' ϵ * '*1)*0'(: ". MP+K.K. =. PM+
IRVING VÁZQUEZ HUERTA PROCESOS DE MANUFACTURA
D' +0$'/,) +& 2/);&'3+ ." DK = =&*DK D D K. =&*DK D K DK D K.= = DK D '2K.= ".==" ϵ &* D D Á/'+: K = ".=="= . � E*1)*0'(: T( ".K=. . ." U* +&+3;/' ,' 0);/' ,' K.K 33 ,' ,-%3'1/) +&&+ 2+/+ $* '($'/0-3'* ,' +0'/) ,' $*+ 2/$';+ ,' 1'*(-* 0)* &)*7-1$, -*-0-+& ,' 3',-0-* ,' =.K -* 4 %/'+ ,' ('00-* 1/+*(9'/(+& ,' K. -*= +&0+*0-3'*: V ^D=K =.^== K. 33 + K33 =. ϵ &* K.== K F/3$&+ ,' '*,$/'0-3-'*1): ϵ* Y =K.K.==K.= =K.KKK MP+ K.33 A VL ".33= K33 IRVING VÁZQUEZ HUERTA
PROCESOS DE MANUFACTURA
F =K.KK". �. ; . 33 =. ϵ &* K."K . F)/3$&+ ,' '*,$/'0-3-'*1): ϵ* Y =K.K."KK.= =K. MP+ K.33 A VL "."=33= .33 F =K."."= �� �. �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� ���. ��� ".K ∗
.= U* '(2>0-3'* ,' 0'/%3-0+ '(2'0-+& (' 2/$';+ + &+ &'-*. S$( ,-3'*(-)*'( ()* &+( (-7$-'*1'(: +*0) ,' &+ ('00-* 1/+*(9'/(+& -7$+& + K.K -* 4 '(2'()/ ,' &+ ('00-* 1/+*(9'/(+& ,' K.= -*. L+ &)*7-1$, ,'& '(2>0-3'* '*1/' &)( +2)4)( '( ,' =.K -*. D'1'/3-*' &+ /'(-(1'*0-+ + &+ /$21$/+ 1/+*(9'/(+& (- &+ +&&+ )0$//' 0)* $*+ 0+/7+ ,' " KK &;. R'(-(1'*0-+ 1/+*(9'/(+&: TSR ".FL ;1 = S$(1-1$4'*,) 9+&)/'(: TSR "."KK &;=2$&7 "KK &; "=KK = K. 2$&7 K.= K.K" 2$&7 = ∗
.= U*+ 2-'0-3'* ,' 2/$';+ + &+ 1)/(-* 1-'*' $* /+,-) ,' = 33 '(2'()/ ,' 2+/', ,' 33 4 &)*7-1$, ,' 3',-0-* ,' K 33. D$/+*1' &+ 2/$';+ $* 2+/ ,' KK N3 ,+ 0)3) /'($&1+,) $*+ ,'&'-* +*7$&+/ ,' K._. D'1'/3-*' + '& '($'/0-3'* 1$;$&+/ ,' 2+/', ,'&7+,+ 0$4) /+,-) '( ,' ". -* '& IRVING VÁZQUEZ HUERTA PROCESOS DE MANUFACTURA
'(2'()/ ,' &+ 2+/', '( ,' K."K -* 4 &+ &)*7-1$, ,' 3',-,+ '( ,' =.K -*. D'1'/3-*' + '& '($'/0-3'* +&&+ 0)* $* 2+/ ,' KKK 1&; 4 $*+ ,'&'-* +*7$&+/ ,' =_. C+&0$&' &+ /'(-(1'*0-+ + &+ 0)/1+*1' ,'& 3'1+&. E($'/0-3'* 0)* '& '32&') ,' $*+ ;)&+ ,' +0'/) '*,$/'0-,) ,' "K 33 ,' ,-%3'1/). L+ IRVING VÁZQUEZ HUERTA PROCESOS DE MANUFACTURA
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ÁZQUEZ HUERTA PROCESOS DE MANUFACTURA
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ÁZQUEZ HUERTA PROCESOS DE MANUFACTURA
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l IA& "XK." = A IRVING VÁZQUEZ HUERTA PROCESOS DE MANUFACTURA
CAPITULO PREGUNTAS DE REPASO .". #Q$> '( 1)&'/+*0-+5 S' ,'-*' 0)3) &+ 0+*1-,+, 3%-3+ 2'/3-(-;&' 2+/+ ?$' $*+ ,-3'*(-* '(2'0--0+,+ 2$',+ 9+/-+/. .=. #C$%&'( ()* +&7$*+( ,' &+( /+ (' ,-'/'*0-+ &+ 1'1$/+ ,' $*+ ($2'/-0-' ,' &+ -*1'7/-,+, ,' >(1+5 L+ 1'1$/+ ,' &+ ($2'/-0-' (&) +0' /''/'*0-+ + &+ 7')3'1/8+ ,' &+ ($2'/-0-' 3-'*1/+( ?$' &+ -*1'7/-,+, ,' &+ ($2'/-0-' '(1$,-+ 4 0)*1/)&+ &+ 0+2+ ($;($2'/-0-+& 4 0$+&'(?$-'/+ 0+3;-)( ?$' +'01'* + &+ 2-' (-7*--0+ /$7)(-,+, ,' &+ ($2'/-0-'5 L+ /$7)(-,+, ($2'/-0-+& (' ,'-*' 0)3) '& 9+&)/ 2/)3',-) ,' &+( ,'(9-+0-)*'( 9'/1-0+&'( ,'(,' &+ ($2'/-0-' *)3-*+& ();/' $*+ &)*7-1$, ,' &+ ($2'/-0-' '(2'0--0+,+. IRVING VÁZQUEZ HUERTA PROCESOS DE MANUFACTURA
.. #C$%& '( &+ ,-'/'*0-+ '*1/' &+( 3',-0-)*'( AA 4 RMS ,' &+ /$7)(-,+, ,' $*+ ($2'/-0-'5 AA 2/)3',-) +/-13>1-0) 4 RMS /+8< 3',-+ 0$+,/%1-0+ ()* 3>1),)( +&1'/*+1-9)( '* ?$' '& 9+&)/ 2/)3',-) ,' &+ /$7)(-,+, (' 0+&0$&+. E& 3>1),) AA $1-&-/3-*)( 7')3>1/-0)( ?$' 1-'*'* '& 3-(3) (-7*--0+,)5: + 0-/0$&+/-,+, ; 0)*0'*1/-0-,+, 0 0-&-*,/-0-,+, 4 , /',)*,'
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