BAB IV CONTOH PERHITUNGAN TEGANGAN (RODA GIGI LURUS)
4.1 Beban Pada Roda Gigi
N1 = 9,3dk
N1 = 9,3 x 0,735 = 6,83 kW
n
n1 = n x ( Z1 / Z2 )
= 7500 rpm
Z1 = 20
= 7500 x ( 20 / 67 )
Z2 = 67
= 2238,8 = 2239 rpm
i
= Z2 / Z1 = 67 / 20 = 3,35
CS = 1,0
4. !a"e#ia$ dan Di%en&i Roda Gigi
m
= 1,82 mm
m=d/Z
α0
= 200
= 122 mm / 67
b
= 11 mm
= 1,82 mm
K!" K!"i# i#!$ !$ (%&N (%&N 3961) 3961) = 9 x1 = x2 = 0 '!#ri!" N* 10 ($#* 70) d01 =
m+1 = 1,82 x 20 = 36, mm
d02 =
m+2 = 1,82 x 67 = 121,9 mm
!0 = - m (+ 1 . +2) = - x 1,82 mm ( 20 . 67 ) = 79,17 mm
30
4.' Pe#i"ngan In"en&i"a& Beban E*e+"i*, B -
M 1=71620
M d 01
U =
=
N 1 n1
218,47
( )( ) 3,64
=
6,83 2239
=218,47
kgcm
120,03 kg
2
2
B=
=71620
U kg 120,03 = =0,299 2 b . d 01 11 x 36,4 mm
U 120,03 kg u= = =10,91 b mm 11 v=
π n1 d 01 60
=
3,14 x 2239 x 0,0364 60
=4,265
m s
ri#n!n C% nn#!n (4!b" "m!$!n, K!"i#!$ ii d!n K#id!k#"i#i!n ii) %!ri #!b" #r$b#, n#k = 2,5 m/$ k!"i#!$ ii 9, dipr" = d!n = 2,0*
≤ (3 . 0,3 . 0,2 = ( 3 . 0,3 x 2 . 0,2
√ d 02 ) √ 121,94 )
= ( 3 . 0,6 . 0,2 x 11,02 ) = 23,233
≤ =2
μm
√ b
√ 11 = 6,63 μ m
W = 0,75 = 0,75 x 6,63 = ,972 μ m
= m!x ( , , W ) = 23,233 μ m
!r!m#r n#k mmb!! C% d!ri di!r!m C$ . 0,26 31
= 10,91 x 1 . 0,26 x 23,233 = 16,95
m = ,265 s
dn
= 1,8 did!p!# d!ri brd!$!rk!n di!r!m
udyn C% ε sp
u C s ( ε sp+ 1 )
=1.
= % (rd! ii "r$) 1,8
C%
=1.
10,91 x 1
= 1,16
ri#n!n C4
C z . f RW b 4
=
U . C S .C D 120,03 x 1 x 1,16= 0,4
4
=
¿
1 x 4,972 x 11
¿ 0,4− 0,4
C4 = 1,10 . ( 1,125 : 1,10 ) x
0,5−0,4
C4 = 1,10 ;< = CS *C% *C4 * ; = 1 x 1,16 x 1,10 x 0,299
kg = 0,381 mm2
4.4 Pe#i"ngan Tegangan a+i Gigi, /-1 dan /-
ri#n!n !#r #!n!n k!ki ii <1
= k1 * >1 32
k1
= 2,88
k2
= 2,35
ri#n!n r!$i kn#!k > dk1
= d01 . 2 k" = d01 . 2m = 36, . 2 x 1,82 = 0,0 mm
dk2
= d02 . 2 k2 = d02 . 2m = 121,9 . 2 x 1,82 = 125,58 mm
cos α k 1=cos α b
db1 d k 1
¿ cos200 cos α k 1=31,33
cos α k 2=cos α b
(
36,4 40,04
)
0
db2 d k 2
¿ cos200
(
121,94 125,58
)
0
cos α k 2=24,15
%!ri pr$!m!!n (3*11), !i#
ε1
mb hk
=
d b 1 ( !gα k 1−!g α b ) 2 π hk 1
dipr"
ε 1=
¿
z1
20
( !g α k −!g α b )= 2 x 3,14 ( !g 31,33 −!g 20 ) 2 π 0
1
20 2 x 3,14
( 0,608726919 − 0,363970234 )
33
ε 1= 0,779 ε2 =
¿
67
0
2 x 3,14 67
2 x 3,14
( !g 24,15−!g 20 )
( 0,448369308 − 0,363970234 )
ε 2 =0,900
ε =ε n =ε 1 + ε 2 ¿ 0,779 + 0,900 ¿ 1,679
%!ri pr$!m!!n (3*16)
mn +
ε " = 1 + ( ε n−1 )
mn +
v 4
f 6
1,82 +
(
¿ 1+ 1,679 −1
) 1,82 +
ε " =1 + ( 0,679 )
(
4,265 4
23,233 6
2,888625 7,5047343
)=
1,2783
%!ri pr$!m!!n (3*13) d!n (3*1) dipr"
# ε 1=
1,4
ε n + 0,4
=
1,4 1,679 + 0,4
34
# ε 1=0,6734 # ε 2=
1,4
ε " + 0,4
=
1,4 1,2783 + 0,4
# ε 2=0,8341 $in! # " 1 =# k 1 . #ε 1=2,88 x 0,6734 =1,93
# " 2 =# k 2 . #ε 2=2,35 x 0,8341 =1,96 %!n #!n!n k!ki ii ki !d!"! $ " 1= z1 . # " 1 . B" =20 x 1,93 x 0,381 =14,706
kg 2
mm
%n!n !r! !n $!m! dipr"
$ " 2= z 1 . # "2 . B " =20 x 1,96 x 0,381 =14,935
kg 2
mm
4.0 Tegangan a+i Gigi ang Dii2in+an / D dan 3a+"o# ea%anan S B
kg ?%1
= 1 * ?01 = 2
$ D 1 S;1
=
$ " 1
=
2
mm
24 14,706
=1,631
kg ?%2
= 1 * ?02 = 2 24
S;1
=
14,935
2
mm
=1,606
4. Pe#i"ngan Te+anan Pe#%+aan E*e+"i*, + 5
ri#n!n !k#r@!k#r #k!n!n prmk!!n
35
% ε =1−
% ε =1−
% ε =1−
2 π
z1 n !g 1 bn
(
(
2 x 3,14 20 x !g 20
1− ε 1 n
0
ε" εn
)
1 − 0,779 x
6,28
20 x 0,363970234
)
1,2783 1,679
( 1−0,593088564 )
% ε =1−0,862707909 ( 0,406911436 )
¿ 1−0,351045714 ¿ 0,6489
% " 1=
% C =
% C . % & % ε
% " 2=% C . % &
1 sin α bn cos α bn 4
% & =
% C =
cos & g cos & 0 1 0
sin 20 cos20
0
=
1
( 0,342020143 ) (0,93969262 )
=3,11
% & =1 % " 1=
3,11 0,6489
=4,792
% " 2=3,11 '!k! #k!n!n prmk!!n k#i !d!"! k "1=
' +1 % " 1 B" '
36
k " 1=
3,35 + 1 3,35
k " 1= 2,370
k " 2=
k " 2=
( 4,792 ) ( 0,381 )
kg 2
mm
' +1 % " 2 B " ' 3,35 + 1 3,35
k "2=1,538
( 3,11 ) ( 0,381 )
kg 2
mm
4.6 Te+ananPe#%+aan ang Dii2in+an, + D, dan3a+"o#ea%anan, S G
%!ri pr$!m!!n (2*70) k % = A AB AS Ak D En#k n# pri#n!n ini, b!!n rd! ii !d!"! S# 70*11 dn!n kk!$!r!n prmk!!n $b$!r B= 220 b!ik n#k rd! ii pnr!k m!pn rd! ii !n dir!kk!n* %!ri #!b" kg m!k! !r! k D n#k b!!n #r$b# !d!"! k D = 0,70 mm2 * 'nn#k!n ki$in n#k k % ("i!# $b@b!b 3*9) A = 1
( )= 220
AB =
208
2
1,12
AS = 1*27 k!rn! d!"!m n# ini p"m!$ !n din!k!n !d!"! S"" !r Di" 90 dn!n = 20 S# p!d! #mpr!#r krF!*
37
( 0,7 + A
0,6
(
1+
)
2
8 4,265
( 0,754
'!k! #k!n!n prmk!!n !n di iFink!n !d!"! k %1 = A AB AS A k 01
k %2
= A AB AS A k 02
= (1) (1,12) (1,27) (0,75) (0,7)
= (1) (1,12) (1,27) (0,75) (0,7)
kg
kg
= 0,75 mm
= 0,75 mm2
2
G!k#r k!m!n!n S !d!"!
S ) 1=
S ) 2=
k D 1 k W 1 k D 2 k W 2
= 0,75 =0,316 2,370
= 0,75 =0,487 1,538
K!rn! S1 H 1 d!n S2 H 1, m!k! mr rd! ii #r$b# n#k full-load !d!"! #rb!#!$* En#k mn#!i mr rd! ii #r$b# m!k! di n!k!n pr$!m!!n (3*18)
(167 ) ( 10 3 ) (0,75 ) *h 1= ( 0,316)2 ( 2239)
= 6,363 F!m
En#k rd! ii@2
*h 2=
(167 ) ( 10 3 ) (0,75 ) (
2239 3,5
)
( 0,487 )2
= 6,35 F!m
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