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PAMUKKALE ÜNİVERSİTESİMAKİNE MÜHENDİSLİĞİ BÖLÜMÜ
DERS : MAKİNE ELEMANLARIKONU : 2 KADEMELİ REDÜKTÖR
TASARIMI
ÖĞR. ADI : MUHAMMEDBOZKURTÖĞR. NUMARASI :08244014 İ.Ö.ÖĞR. ADI : DOÇ.DR. TEZ AN!EKER İOĞLU
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V"#$%"& B$%'$%"#
($#$) (*+* , Pg - / ($#$) D" $# S3 565 , n1 - 1700 d /d
T 9%3 Ç" #$ O#3&5 , iT - 14K3;" " S3 565 2
1.K3;" " D$)%$ T$9$ H"%$62.K3;" " D$)%$ T$9$ H"%$61. Kademe ; i 12 4 2. Kademe ; i 34 = 3.5
1.ÖN HESAPLAMALAR VE MEKANİZMA ÖZELLİKLERİ
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z1 : ($#$) $%$ 9$& & 5#. z4 : Ç5 5) $%$ *?"#$&;" $ ;@&;*#*%"& 5#.
β : H"# $ $ 3;" " $ $& 3>63 565 S 1./ 3%5& 5)>5#.
D$)%$ C>C6C&C& >35#5%3+3 >5#.
D$)%$%"# 3?;5# 3 @&>" $ %" $ 3% ";$% $) " ;$)%"#$ 93#%3>5% 5)>
M$%%"# $ $ 3>3 %3& 5) " 6"
B*>*& " 3&$? 3;3 "#$ 1 3%5& 5)>5#.
M$% D@&;*# " M "&>%"#$ " D" $# S3 5%3#5
1 numaralıgiriş mili için; M d 1 =9550 ∗ P
n1 F//0 G5
1300 7= 70. = N
n1 = 1400 d /d
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2 numaralıaramili için; M d 2 = M d 1∗i12 7= 70. = G 4 14=F27.04
N n2 = n1 /4 72/ d /d3 numaralıçıkış miliiçin ; M d 3 = M d 2∗i34 14=F27.04G7./ /14270.=4
N n3 = n2 /3.5 F2.8/ d /d
1-HELİS Dİ!LİLER İÇİN MODÜL HESABI 3-D$) ;$ $ C 3 " ">$&" '@#" &># %:
H"%$6 ;$)%$ '#C C $ $& 1 #N$M = 6" "&>36 & "%$ $6" $%;$.
mn 1 ≥ 3√2∗ M d 1∗ K f ∗ K i∗ K v∗ K m∗ K ε∗cos βφ m∗ z1∗σ em
M ;*% ;" "#$ mn 1 2./ 3 C% ";$%;$.
M d 1 7= 70. = N
K f 2.F , ze 1 = 19.282 J 0 $ $& # 3 >@#*-
K i 1.20 ,D*?'*& 3%5)3& "%" >#$ > #C " #"& $ $& $)%"> "3 >@#*-
K v 1.0/42∗π ∗1300 ∗¿
60 ∗2
2.5 ∗16
2= 2.72 msve y ksek kali!e az y k gelendişli için"ız fak!#r
v1 = ¿¿
K m= 1.2 , φ∗mn 1 = 12∗2.5 = 30iyi ya!aklanmışaz se"imli mil için y k da$ılım fak!#r -
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K ε 0.== ,H"%$6 ;$)%$ " ;$) ;$ $&;"& 5#5% 3 3 '@#" &># % $ $& 3 #3 3
3 >@#* K ε 0.2/0.75
ε an¿
H"%$6 ;$)%$%"#;" 3 #3 3 #3&5
K ε 0.2/0.75
ε an
εanε
acos β%
2 = 1.611
cos18.742 = 1.796
tan β% β∗¿cos a ! = tan 20 ∗cos 21.172 β%= 18.74 °
tan ¿
ε= εa +ε β
εa =√ r a 1
2 − r %12 +√ r a 2
2 − r %22 − a d 1∗sin a !
π ∗mn 1∗cos a !
r a 1d 1 +2∗" a
2 d 1 = z1∗mn 1
cos β
16 ∗2.5
cos 20 42./=" a = mn1 2./
r a 1 = 23.78 mm
r %1d 1∗cos a!
2 tan a ! =tan 20
cos20 0.78 a ! 1 = 21.172 °
r %1 = 19.84 mm
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d 2 = z2∗mn 1
cos β z2 = z1∗i12 1=G4 =4
d 2 = 170.26 mm
r a 2d 2 +2∗" a
2 8 .=7
r %2d 2∗cos a!
2 F.78
a d 1 = mn 1∗( z1 + z2 )2∗cos β
2.5 ∗(16 +64 )2∗cos20 10=.418
εa =13.109 +37.119 − 38.43
7.320 1.=11
ε β=%∗sin β
Pn
30 ∗sin 20
2.5 ∗π 1.70
ε 2.F11 K ε 0.==
D$) ;$ $&;"& "6$% " " '@#" " &$ ">%$ '"#$% "
σ em K %∗ K y∗σ &&
K ç∗'
K %= 1 , mn 1 2.5
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σ && 1000N mm2 ,1 #N$M = 6" "&>36 & "%$ $ "σ )* = σ && $ $& $%'$%$ $?"%'";"& C&3& C 3 " "> ;" "#$
-
K ç= 1 ++∗( K ! − 1 )
0.8/ ,# 0.78G2./ 0.F/ " R 1200 N mm2
$ $& "&>$
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K a= 2.36 , β= 20 " J 0 $ $& 3 #3 3 3 565 3 >@#*-
K i= 1.20 ,D*?'*& 3%5)3& "%" >#$ > #C " #"& $ $&$)%"> " 3 >@#*-
K v 1.0/42∗π ∗1300 ∗¿
60 ∗2
2.5 ∗16
2= 2.72 msve y ksek kali!e az y k gelendişli için "ız fak!#r
v1 = ¿¿
K m= 1.2 , φm∗2.5 = 30ve iyi ya!aklanmışaz se"imlimil için y kda$ılım fak!#r -
K ε 0.787 ,H"%$6 ;$)%$ *?" 365&+5&3 '@#" &># % "ε β= 1.30 >1 $ $& $%'$%$
$?"%'";"& 3%5&3& 3 #3 3 3 >@#* # *%*&;"&1 /¿√ ε , = 0.787
K ε= √ ¿ -
E 2.1G 105
N mm2
i12 = 4
Pem=σ -lim∗ K #
'
σ -lim = ¿ 1/10 N mm2
K #= 1 , 107 y k !ekrarıiçin -
Pem=1510 ∗1
1.5= 1006.66 . /mm2
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mn 1 ≥ 0.7 ∗cos 203√36730.76 ∗2.36 2∗1.2 ∗1.054 ∗1.2 ∗0.787 ∗2.1 ∗10 5∗512 ∗16 2∗1006.66 2∗4
mn 1 ≥
1.8071.807 1.7/1 %;C C $ $& $# *6> ;" "#" C 3#%3>>5 5 5?;3 ;*%;" "#$ $?" C%3)5#5?. mn 1 = 2 ./
2-HELİS Dİ!LİLER İÇİN MODÜL HESABI3-D$) ;$ $ C 3 " ">$&" '@#" &># %:
H"%$6 ;$)%$ '#C C $ $& 1 #N$M = 6" "&>36 & "%$ $ 6" $%;$.
mn ≥ 3√2∗ M d 2∗ K f ∗ K i∗ K v∗ K m∗ K ∈∗cos βφm∗ z3∗σ em
M d 2 14=F27.04 N
M ;*% ;" "#$ mn 2 2 3 C% ";$%;$.
i34 =/ 4/ 3 / 4 /= / 3 1= i34 =
3.5
/e 3 = / 3
(cos β
)3= 19.282 0 20 ;$)
K f = 2.87 ( 1= 0 ; /e 3 = 20 )
K i= 1.25 ( & zg nçalışanelek!rik m(!(ru;kren )
K v= 1.01 , * 6" 3%$>";" 3? * '"%"& v=π ∗325
60∗2∗10
− 3∗16 0./44 6
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K m= 1.2 , φm∗2 = 24 ve iyi ya!aklanmışaz se"imlimil için y k da$ılım fak!#r -
εa =√ r a 3
2 − r %32 +√ r a 4
2 − r %42 − a d 3∗sin a !
π ∗mn 2∗cos a !
r a 3d 3 +2∗" a
2 d 3 = z3∗mn 2
cos β
16∗2
cos20 74.0/
" a = mn 2 2
r a 3 = 19.025 mm
r %3d 3∗cos a!
2 tan a ! =tan 20
cos 20 0.78 a ! = 21.172 °
r %3 = 15.875 mm
d 4 = z4∗mn 2
cos β
z4 = z3∗i34 1=G7./ /=
d 4 = 119.187 mm
r a 4d 4 +2∗" a
2 =1./F7/
r %4d 4∗cos a!
2 //./ 0
a d 3 =mn2∗( z3 + z4 )
2∗cos β
2∗(72 )2∗cos 20 =.=20
εa =10.484 +26.56 − 27.672
π ∗2∗cos21.172 1.=007
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ε%=%∗sin β
Pn
24 ∗sin20
2∗π 1.70
ε 2.F0 7 εanε a
cos β2 1.812
K ε 0.2/ 0.75
1.812= 0.663
D$) ;$ $&;"& "6$% " " '@#" " &$ ">%$ '"#$% "
σ em K %∗ K y∗σ && K ç∗'
K %= 1 , mn 2 2
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σ em 1∗0.928 ∗1000
1.250 ∗1.5 4F4.F7 N mm2
mn 2 ≥ 3
√2∗146923.04 ∗2.87 ∗1.25 ∗1.2 ∗1.01 ∗0.663 ∗cos20
12∗16∗494.93 1.8F
2 ¿ 1.8F %;C C $ $& 3 C% ";$%"& ;*% ;$);$ $ C 3 " ">$&" '@#" " &$ ">%$;$#. *?" 365&+5&3'@#" ;" #$ > #C " #"& $ $& $)%"> " 3 >@#*-
K v= 1.01 , * 6" 3%$>";" 3? * '"%"& v=π ∗325
60 ∗2∗10−3
∗16 0./44 6
K m= 1.2 , φ∗2 = 24 ve iyi ya!aklanmışaz se"imlimil için y k da$ılım fak!#r-
K ε=√ 1εa =√ 11.6003 = 0.79
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E 2.1G 105
N mm2
i34 = 3.5
Pem=σ -lim∗ K #
'
σ -lim = ¿ 1/10 N mm2 K #= 1 , 10 7 y k !ekrarıiçin -
Pem=1510 ∗1
1.5 = 1006.66 . /mm2
mn 2 ≥ 0.7 ∗cos203√146923.04 ∗2.36 2∗1.25 ∗1.2 ∗1.01 ∗0.79 ∗2.1 ∗10 5∗4.512∗16 2∗1006.66 2∗3.5 = 1.F
1.F 1.8F %;C C $ $& $# *6> ;" "#" C 3#%3>>5 5 5?;3;*% ;" "#$ $?" C%3)5#5?. mn 2 = 2
7-H"%$6 D$)%$%"#$& B C>%3&;5#5% 365
3-P$& & ;$)%$&$& C>%3&;5#5% 365 , / 1
-:mn 1 = 2 ./
m! 1 = mn 1cos 20
= 2.66
da 1 = 44.42
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d 1 =16∗2.5
cos 20= 42.567
"a 1 mn 1 = 2 ./
"f 1 1.2/G2./ 7.12/
d f 1 d 1 Q 2 G "f 1 42./= Q 2./ G 7.12/ 74. /4
a ! 1 21.1 2
d %1 d 1∗cos a ! 1 7F.=F7
Pn 1 Pn 2 mn 1 G π 2./ G π .8/
P! 1 P! 2 = m! 1 G π 2.== G π 8.7/2
" 1 " 2 "a 1 "f 1 2./ 7.12/ /.=2/
%1 %2 = ¿ φ G mn 1 70
a d 1 mn 1
2∗cos β∗(/ 1 +/ 2 )= ¿ 10=.41
-Ç3# ;$)%$&$& C>%3&;5#5% 365 , / 2 -:
mn 1 mn 2 = ¿ 2./ / 2 = / 1∗i12 = 64
m! 2 = mn 2cos 20
= 2.66
d a 2 = d 2 +2∗" a 2 = 175.26 mm
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d 2 =64 ∗2.5
cos 20= 170.26
" a 2 mn 2 = 2 ./
" f 2 1.2/G mn 2 7.12/
d f 2 d 2 Q 2 G " f 2 1 0.2= 2 G 7.12/ 1=4.01
a ! 1 a! 2 21.1 2
d %2 d 2∗cos a ! 2 = ¿ 1/8.
2.K3;" "
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d %3 d 3∗cos a ! 3 71. /1
Pn 3 Pn 4 mn 3 G π 2 G π =.28
P! 3 m! 3 G π 2.128 G π =.=81
" 3 " 4 "a 3 " f 3 2 2./ 4./
%3 φ G mn 3 24
a d 2 m
n3
2∗cos β∗(/ 3 +/ 4 ) =.=20
;-Ç3# ;$)%$&$& C>%3&;5#5% 365 , / 4 -:
mn 3 2
m! 4 = mn 4cos 20
= 2.128 mm
da 4 = d 4 +2∗" a 4 = 110.41 mm
d 4 = 56∗2cos 20 = 106.41 mm
"a 4 mn 4 = 2 mm
" f 4 1.2/G2 2./
d f 4 d 4
Q 2 G " f 4
101.41
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a ! 4 21.1 2
d %4 d 4 G + 6 a! 4 FF.22
4-MİLLERİN BO UTLANDIRILMASI3-($#$) $%$&$& C>%3&;5#5% 365:M3%?" " 1 #N$M = )" $%;$
) ! 1= M d 1
d 1∗2 2G 36730.7642.56 1 2=.0=F N
d 1 = z1
cos 20∗mn 1
16 ∗2.5
cos 20 42./=
) r 1= ) ! 1∗!an,
2(sβ 1 2=.0=F G tan20
cos20 ==8.// N
) a 1 = ) ! 1∗!anβ 1 2=.0=F G>3&20 =28.27 N
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;*?%" $&;"
∑ M 0
) 3 y∗135 ) r 1∗35 − ) a 1∗(42.567
2)
) 3 y 4.282 N
∑ ) y 0 ) 4 y /F4.2=8 N
∑ ) 1= 0 ) 4a − ) a 1 = 0 ) 4a = 628.237 .
Z ;*?%" $&;"
∑ M 4 0 ) 3 z∗135 = ) ! 1∗35
) 3 z1726.069 ∗35
135 44 .4FF N
∑ )
z 0 ) 4 z ) ! 1− ) 3 z
12 8./ N
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M e2= √ M e5 2 + M e /
2
M e2= √ 20.7992
+44.7492
= 49346.44 .mm M d2= 36736 .mm
D 70 3 C% ";$%;$.
σ ∗¿T&e¿
σ T&e∗ K %∗ K y K ç
σ T&e /80 N mm2
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K % 0.88 ,; 7/ $ $& C> 3 >@#*-
K y 0.F8, 6 m= ¿ 1200 N mm2
" *?" $ 93#%3>5% 5) ;C#C
$ $& *?" 3>63 565- K ç 1.1/
77 7 σ ∗¿T&e
¿580 ∗0.88 ∗0.98
1.15 ¿ 474.F4F N mm2
;
σ ∗¿T&e M e2
¿¿
¿2 + 34∗( M d2 6 e )
2
¿¿
32 ∗sπ
∗√ ¿
≥ 3√ ¿
6 e= 780 . /mm2
; ≥ 3√32∗1.5π ∗√(49346.44434.949 )2 + 34 ∗(36736780 )2
; ≥ 12.2=0 77 7 D 70 3%5&5#.
A%5&3& 39 C%C&3& 39 ;" "#$&;"& * * %;C C $ $&" &$ ">%$;$#.
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(İRİ! MİLİ İMALAT RESMİ
-A#3 $%$& C>%3&;5#5% 365:
d 3 z3∗mn3
cos β 16∗2
cos20 74. 0/
; ≅ ,1.2 1.4- dmil
) ! 2= M d 2d 2∗2 2G
146923.04
170.26 1 2=.0=F N
) r 2= ) ! 2∗!an,
2(sβ 1 2=.0=F G tan20
cos20 ==8.// N
) a 2 = ) ! 2∗tan20 =28.27 N
) ! 3= M d 2d 3∗2 2G
146923.04
34.05 8=2F.84 N
) r 3= )
! 3∗
!an,
2(sβ 8=2F.84 Gtan20
cos20 7742./8 N
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) a 3 = ) ! 3∗tan20 7141 N
;*?%" $&;"
∑ M 0 ) 2 y∗135 = ) a 3∗17.025 + ) r 3∗100 − ) r 2∗35 − ) a 2∗85.13
) 8y∗135 = 3141 ∗17.025 +3342.58 ∗100 − 668.55 ∗35 − 628.237 ∗85.13
) 2 y 2702.=1 N
∑ ) y 0 ) & y 7742./8 2702.=1 Q ==8.// 7 1.42N
Z ;*?%" $
∑ M 0
) 2 z∗135 = ) ! 3∗100 + ) ! 2∗35
) 2 z∗135 = 8629.84 ∗100 +1726.069 ∗35
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) 2 z =87F.F N
∑ ) z 0 ) & z 8629.84 +1726.069 Q=87F.F 7/1/.F7 N
M e)
= √ M 2e5
+ M 2e9
M e) = √ 80.592 +239.39 2 = 252.59 k.mm M %= 207.79 k.mm
σ ∗¿T&e¿
σ T&e∗ K %∗ K y K ç
= 580 ∗0.88 ∗0.981.15
= 434.94 . /mm2
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;
σ ∗¿T&e M e)
¿¿
¿2 + 34∗
( M %
6 e )2
¿¿
32 ∗sπ
∗√ ¿
¿ 3√ ¿
; ¿3√32∗1.5π ∗√(252590434.94 )2 + 34∗(207790780 )2 7777777d = 21.218 mm
; 40 3 C% ">>$ 40 ¿21.218 %;C C& $ $& " &$ ">%$
ARA MİL İMALAT RESMİ
+-Ç5 5) $%$& C>%3&;5#5% 365:
) ! 4 = M d 3d 4∗2 2G
514230.64
106.41 F==/.08 N
) r 4= ) ! 4∗!an,
2(s, F==/.08Gtan20
cos20 7 47./= N
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) a 4= ) ! 4∗!an, F==/.08G tan 20 7/1 .8 N
;*?%" $
∑ M 0
) * y∗145 = 3743.56 ∗110 − 3517.8 ∗53.205 = 1549.15 .
∑ ) y 0
) - y= 3743.56 − 1549.15 = 2194.41 .
Z ;*?%" $
∑ M 0
) * z∗145 = ) ! 4∗110 F==/.08G110
) * z 772.21 N
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∑ ) z 0
) - z ) ! 4 ) * z F==/.08 Q 772.21 2772.8 N
M e= √ M 2
: y❑+ M 2 : z❑
M e= 352.296 k.mm M %= 524.23 k.mm
σ ∗¿T&e¿
σ T&e∗ K %∗ K y K ç
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σ T&e /80 N mm2
K % 0.87 ,; /0 $ $& C> 3 >@#*-
K y 0.F8 , 6 m= ¿ 1200 N mm2
" *?" $ 93#%3>5% 5) ;C#C$ $& *?" 3>63 565-
K ç 2.2/ , # A " $% " ;C#C C " 6 m= ¿ 1200 N mm2
$ $&"&>$ 3>63 565-
D /0 3%5&;5
77 7 σ ∗¿T&e¿580 ∗0.83 ∗0.98
2.25 ¿ 20F.= N mm2
;
σ ∗¿T&e M e
¿¿
¿2 + 34∗
( M %
6 e )2
¿¿
32 ∗sπ
∗√ ¿
≥ 3√ ¿
6 e= 780 . /mm2
; ≥ 3√32∗1.5π ∗√(352296209.67 )2 + 34∗(524230780 )2
; ≥ 70.0= 77 7 D /0 3%5&5#.
A%5&3& 39 C%C&3& 39 ;" "#$&;"& * * %;C C $ $&" &$ ">%$;$#.
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/-KAMA BAĞLANTISI APILAN Dİ!LİLERİN KAMAHESAPLARI1-A#3 $% *?"#$&;" $ 3 3%3#5& 565&5& 395%3+3 5 40 ;$#.
B3 %3&>5;3 %C)3+3 >" ">6"% C ">
) ! =2∗ M d 2
d = 2∗146923.04
40= 7346.15 .
D$)%$ $ $ 3;"> 3 3 $%" $%" &>3 395%3+3 >5#.BC *?;"&
) ! 1= ) !
2 7= 7.0 N
; 40 14 < F ! 1 /./
K3 3 3%?" "6$ E77/ '"&"% 395 "%$ $ 6" $%;$.
K3 3 $%" $% 3#365&;3 $ *?" 365&+5 &># %*
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P ) ! 1! 1∗
< P em=ℜ
'
3673.07
5.5 ∗ <
335
1.57777
L ≥ 2.99 mm
K3 3 $%" '@ " 3#365&;3 *?" 365&+5 &># %*
L ≥ 2∗s∗ Md
d (" − ! 1 )∗ℜ∗ z ? 2 , $% *?"#$&;" $ 3 3
63 565-
L ≥ 2∗1.5 ∗146923.04
40 ∗(3.5 )∗355 ∗2 4.=F
K"6$% " &># %*
L ≥ 4∗s∗ Mdd∗%∗ℜ∗ z
L ≥ 4∗1.5 ∗146923.04
40 ∗14 ∗355 ∗2 2.74
K3 3 $%" '@ " 3#365&;3 %C)3& *?" 365&+5&3 '@#"395%3& &># % ;" 3 3 C?C&%C C 3J 5 5)>5#.K3 3
>*#* %3#3 A >$9$ C 'C 3 365 6" $% $)>$#.E);" "# 3 3C?C&%C C
eş= +% 4.=F 14 18.=F % 3%5;5#.
TS 14 F A 14GFG20 )" %$&;" 2 3;"> 3 3 6" $%$#.
2-Ç5 5) $%$ *?"#$&;" $ 3 3%3#5&
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Ç5 5) $%$ *?"#$&;" 3 3 $%" $%" &>3 395%3+3 >5#.BC *?;"&
) ! 1= ) !
2 10284.=1 N
; /0 1= < 10 ! 1 =
K3 3 3%?" "6$ E77/ '"&"% 395 "%$ $ 6" $%;$.
K3 3 $%" $% 3#365&;3 $ *?" 365&+5 &># %*
P ) ! 1
! 1∗ < P em= ℜ'
10284.61
6∗ <
335
1.57777 L ≥7.675 mm
K3 3 $%" '@ " 3#365&;3 *?" 365&+5 &># %*
L ≥ 2∗s∗ Md
d (" − ! 1 )∗ℜ∗ z ? 2 , $% *?"#$&;" $ 3 3
63 565-
L ≥ 2∗1.5 ∗514230.64
50 ∗(4 )∗355 ∗2 11./12
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K"6$% " &># %*
L ≥ 4∗s∗ Mdd∗%∗ℜ∗ z
L ≥ 4∗1.5 ∗514230.64
50 ∗16 ∗355 ∗2 /. /=
K3 3 $%" '@ " 3#365&;3 %C)3& *?" 365&+5&3 '@#"395%3& &># % ;" 3 3 C?C&%C C 3J 5 5)>5#.K3 3
>*#* %3#3 A >$9$ C 'C 3 365 6" $% $)>$#.E);" "# 3 3C?C&%C C
eş= +% 11./12 1= 2 ./12 % 3%5;5#.
TS 14 F A 1=G10G70 )" %$&;" 2 3;"> 3 3 6" $%$#.
=- ATAK SEÇİMİ3-($#$) $%$&;" $ 3>3 %3#5& 6" $ $
A 3>3 5:A 3>3 5&5 "> $%" "& $%") " #3; 3% C ">
) 4 r= √ ( ) 4 y )2 +( ) 4 z)
2 = √ 594.268 2 +1278.57 2 = 1409.92 .
A 3>3 5&5 "> $%" "& " 6"&"% C ">
) 4 a= 628.237 N
A 3>3 5 $ $& 6$%$&;$#$ 3 3#3%5 70 395&;3 NUP20=E P#C% 3&5 6" $%;$.
RC% 3& 3>3% 'C&;3& 6" $%"& 6>3&;3#> ;" "#%"#
44 N 44000 N
) 4 a )
4 r
=628.237
1409.92= 0.44 >e= 0.2 7 9 = 0.92 5 = 0.6
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) &r= √ ( ) & y )2 +( ) & z )
2 = √ 371.42 2 +3515.93 2 = 3535.49 .
D 3>3 5&5 "> $%" "& " 6"&"% C ">
) &a = ¿ =28.27 N
D 3>3 5 $ $& 6$%$&;$#$ 3 3#3%5 7/ 395&;3 NUP20 E#C% 3&5 6" $%;$.
RC% 3& 3>3% 'C&;3& 6" $%"& 6>3&;3#> ;" "#%"#
/0 N /0000 N
) &a ) &r
= 628.2373535.49 = 0.177 5 = 0
D$&3 $ ");" "# C ">
) &= 9 ∗ ) &r+5 ∗ ) &a = 1∗3535.49 +0∗628.237 = 7217.14 .
3>3 5& & $&3% @ #* "= 10
6
60∗n∗( 8 ) & )
=
n 2 = 325 dd
= 7.777 ,S$%$&;$#$ 3 3#3%5 #C% 3& $ $&-
"= 10
6
60∗325∗( 500003535.49 )
3.333
= 350469.19 >20000 "
3>3 5
3>3 5&5 "> $%" "& $%") " #3; 3% C "> ) 8 r= √ ( ) 8 y)
2 +( ) 8 z)2 = √ 2302.61 2 +6839.97 2 = 7217.14 .
3>3 5&5 "> $%" "& " 6"&"% C "> >C#.
3>3 5 $ $& 6$%$&;$#$ 3 3#3%5 40 395&;3 NUP208 E#C% 3&5 6" $%;$.
RC% 3& 3>3% 'C&;3& 6" $%"& 6>3&;3#> ;" "#%"#
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/7 N /7000 N
D$&3 $ ");" "# C ">
) 8 r= 7217.14 .
3>3 5& & $&3% @ #*
"= 10
6
60∗n∗( 8 ) 8 )
=
n2 = 325 dd = 7.777 ,S$%$&;$#$ 3 3#3%5 #C% 3& $ $&-
"= 10
6
60∗325 ∗( 53000
7217.14 )3.333
=39449.89
>20000
"
+-Ç5 5) $%$&;" $ 3>3 %3#5& 6" $ $H 3>3 5:
H 3>3 5&5 "> $%" "& $%") " #3; 3% C ">
) - r= √ ( ) - y )2 +( ) - z)
2 = √ 2194.41 2 +2332.87 2 = 3202.76 .
H 3>3 5&5 "> $%" "& " 6"&"% C ">
) - a= ¿ 7141 N
H 3>3 5 $ $& 6$%$&;$#$ 3 3#3%5 40 395&;3 NUP208E TVP2#C% 3&5 6" $%;$.
RC% 3& 3>3% 'C&;3& 6" $%"& 6>3&;3#> ;" "#%"# /7 N /7000 N
) - a ) - r
= 31413202.76
= 0.98 >e= 0.2 7 9 = 0.92 5 = 0.40
D$&3 $ ");" "# C ">
) - = 9 ∗ ) - r+5 ∗ ) - a= 0.92 ∗3202.76 +0.40 ∗3141 = 4202.93 .
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3>3 5& & $&3% @ #* "= 10
6
60∗n3∗( 8 ) - )
=
n3 = 92.85 dd
= 7.777 ,S$%$&;$#$ 3 3#3%5 #C% 3& $ $&
"= 10
6
60∗92.85∗( 530004202.93 )
3.333
= 837103.14 >20000 "
E 3>3 5
E 3>3 5&5 "> $%" "& $%") " #3; 3% C ">
) * r= √ ( ) * y )2 +( ) * z )
2 = √ 1549.15 2 +7332.21 2 = 7494.07 .
E 3>3 5&5 "> $%" "& " 6"&"% C "> >C#.
E 3>3 5 $ $& 6$%$&;$#$ 3 3#3%5 A( #C% 3& 3> % C&;3& 4/ 395&;3 NU100FM1 #C% 3&5 6" $%;$.
RC% 3& 3>3% 'C&;3& 6" $%"& 6>3&;3#> ;" "#%"#
74./ N 74/00 N
D$&3 $ ");" "# C ">
) ) r= 7494.07 .
3>3 5& & $&3% @ #*
"= 10
6
60∗n∗( 8 ) * )
=
n= 92.85 dd
== 3.333 (silindirik makaralırulman )
"= 10
6
60∗92.85∗( 345007494.07 )
3.333
= 29119.48 >20000 "
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