Content .. 108 109 110 111 ..

Technology of watch production - part 110

Dimension

Symbol

Addendum

External diameter

Dedendum

Root diameter

Fillet radius

P p

Radius of the circle drawn through

the centers of the fillet arcs

Chordal thickness of tooth at

pitch circle

Arc thickness of tooth on pitch circle

4 � 7

TAJlJ.E

cont'd

Basic relationships

hp =

0.675

D p = 2 (rp + hp)

hw+ 0.4m

dp = 2 (rp - H p)

(

1roo

)

sln

Pp = 2

1 20°

1 - sln

(

sin --

d p

Pp =

IOSO

I - sm

= 2

+ Pp

6QO

;

72"

Sp = Zp·sln -

I -

S = 3tP

2 -

Sp = S tp

;

� 0

OJ -�

E ·5.-s

;i t) �

I I

1 4

1 8

TABLE 3

Basic dimensions of toothed wheels

a function of the number of pinion

teeth and the transmission ratio for

m = 1

Transmission ratio

·� c:

OJ 0

5.5

7.5

8.5

9.5

0 ',j

�

0. 16

0.17

0.18

0.19

0.20

0.21

1.86

T90 IT2

1.94

P w

�

0.15

0. 16

0.17

0.18

0.19

1.90

1.93

1.96

2.02

P w

�

0. 1 4 0.14 0.15

0.15

0.16

0.17

0.18

0.19

2.00

2.02 2.04

2.06

2.08

ill

2.16

2.18

P w

�

0.13

0.14

0.15

0.16

0.17

2.10

2.22

2.26

P w

�

0.12 0.12

0.13 0.13

0.14

0.15

0.16

0.17

2.25

2.27

2.29

2.33

2.35 2.37

2.38

2.43

P w

�

0.1 1

0.12

0.13

0.14

2.35

2.39

2.43

2.47

P w

�

0.10

0.1 1

0.12

0.13

P w

2.45

2.48

2.50

2.52

2.55

2.60

�

0.08

0.08 0.09

P w

2.70

2.72 2.75

�

0.06

0.07

2.90

2.93 2.96

�

0.04

P w

APPENDIX 3

Approach for milling toothed wheels and pinions with tooth height

h0 = 2.17 m

Gear module, mm

0. 1

0. 12

0.15

0.20

0.25

0.30

0.40

Tooth height h0, mm

0.217

0.26

0.33

0.43

0.54

0.65

0.88

Milling-cutter diameter,mm

Approach, mm

1 0

1.45

1.6

1.8

2.0

2.3

2.5

2.8

1.6

1.8

2.0

2.2

2.5

2.7

3.1

1.8

2.0

2.2

2.5

2.8

3.0

3.5

2.0

2.2

2.4

2.7

3.0

3.4

3.9

2.1

2.3

2.6

2.9

3.2

3.6

4.1

2.3

2.5

2.8

3.2

3.6

3.9

4.5

2.5

2.8

3.1

3.5

4.0

4.4

5.0

2.7

3.0

3.4

3.9

4.3

4.7

5.4

2.9

3.2

3.6

4.1

4.6

5.0

5.8

3.1

3.4

3.8

4.4

4.9

5.4

6.2

3.3

3.6

4.1

4.6

5.2

5.7

6.5

4 3 8

0.22

1.95

0.21

2.05

0.20

2.20

0.19

2.30

0.18

2.45

0.50

1.08

3.1

3.4

3.9

4.3

4.5

5.0

5.6

6.0

6.5

6.9

7.3

��

0°00'

01 '

0°02'

0°03'

0°04'

O'OS'

O'OG'

0°07'

0'08'

0°09

0°10'

0°1 1 '

0°12'

0°13'

0°14'

0°1S'

0°16'

0°17'

0°18'

0°19'

0°20'

0°21 '

0°22'

0°23'

0°24'

0°2S'

0°26'

0°27'

0°28'

0°29'

t.R

��

Ill

0°30'

0.08

0°31 '

0. 16

0°32'

0.24

0°33'

0.32

0°34'

0.40

0'3S'

0.48 0°36'

O.S6

0°37'

0.64

0<38'

0.72 0°39'

0 80

0°40'

0.88

0°41 '

0.96

0°42'

1.04

0°43'

1.12

0°44'

1.21

0°4S'

1.29

0°46'

1.37

0°47'

1.4S

0°48'

l.S3 0°49'

1.61

0°50'

1.69

0°SI '

1.77

0°S2'

1.8S

0°S3'

1 .93

0°S4'

2.01

0°SS'

2.09

0°56'

2.17

0°S7'

2.2S

0°S8'

2.33

0°S9'

��

t.R

��

liT

2.41

J OOQ'

4.82

1 °30'

2.49

!001 '

4.90

1°31 '

2.S7

1°02'

4.98

I '32'

2.6S

!003'

S.06 1°33'

2.73

1°04'

S.l4 1°34'

2.81

I00S'

S.22

I 03S'

2.89

1°06'

S.3

1°36'

2.97

1 °07'

S.38 1°37'

3.0S

1°08'

S.46

! 038'

3.1 3

1'09'

S.S4

1°39'

3.21

1°10'

S.62

1°40'

3.29

101 1 '

S.70

1°41 '

3.37

J012'

S.78

1°42'

3.4S

I 0!3'

S.86

1°43'

3.S3

1014'

S.94

1°44'

3.62

101S'

6.03

1°4S'

3.70

1°16'

6.1 1

1 °46'

3.78

1°17'

6.19

1047'

3.86

1o18'

6.27

1°48'

3.94

1°19'

6.3S

1°49'

4.02

1"20'

6.43 !'SO'

4.10 ! 021 ' 6.SI

10S1'

4.18 1°22'

6.S9

I0S2'

4.26

1°23'

6.67

1°53'

4.34 1°24' 6.7S

I0S4'

4.42

I 02S'

6.83

I0SS'

4.SO

1°26'

6.91 I0S6'

4.S8

1°27'

6.99

1°57'

4.66

1°28'

7.07

l0S8'

4.74

JC29' 7. 1S I0S9'

APPENDIX 4

AR as a function of the angles ll� and ll"(

t.R

��

t.R

��

t.R

��

t.R

"�

t.R

��

t.R

��

t.R

liT

Ill

liT

•r

7.23

2"00'

9.64

2°30'

12.0S

3°00'

14.46

16.87

4°00'

19.27 4°30'

21.68

7.31

2°01 '

9.72

2'31 ' 12.13

3°01 '

14.S4

3°31 '

16.9S

4°0 1 '

19.3S

4°31 '

21.76

7.39

2°02'

9.80 2"32'

12.21

3°02' 14.62

3'32'

1 7.03

4°02'

19.43

4°32' 21.84

7.47

2°03'

9.88

2°33'

12.29

3°03'

14.70

3'33'

17. 1 1

4°03'

19.SI

4°33'

21.92

7.SS

2°04'

9.96

2"34' 12.37

3'04'

14.78

3°34'

17.19

4°04'

19.S9 4°34'

22.00

7.63

2°0S'

10.04

2°3S'

12.4S

3°0S'

14.86

3'3S'

17.27

4°0S'

19.67

4°3S'

22.08

7.71 2°06'

10.12

2°36'

12.S3

3°06'

14.94

3°36'

17.35

4°06'

19.7S

4°36'

22.16

7.79

2°07'

10.20

2°37'

12.61

3°07'

IS.02

3°37'

17.43

4°07'

19.83

4°37'

22.24

7.87

2°08'

10.28

2'38'

12.69

3°08'

IS.IO

3°38'

17.SI

4°08'

19.91

4°38'

22.32

7.9S

2°09'

10.36

2°39'

12.77

3'09'

15.18

3'39'

17.S9

4'09'

19.99

4°39'

22.40

8.03

2°10'

10.44

2°40'

12.8S

30JO'

1S.26

3'40'

17.67

4°10'

20.07

4'40'

22.48

8.1 1

201 1 '

10.S2

2°4 1 '

12.93

301 1 '

IS.34

3°41 '

17.7S

40J J '

20.1S

4'41 '

22.S6

8.19

2°12'

10.60

2°42'

13.01

3°12'

1S.42

3°42'

17.83

4°12' 20.23 4°42'

22.64

8.27

2°13'

10.68 2°43'

13.09

3' 13'

1S.SO

3°43'

17.91 4°13'

20.31

4°43'

22.72

8.3S

2°14'

10.76

2°44'

13.17

3°14'

IS.S8

3'44'

17.99 4°14' 20.39

4°44'

22.80

8.44

2' 1S'

10.8S

2°4S'

13.26

3°IS'

1S.67

3°4S'

18.07

4°1S'

20.48

4'4S'

22.88

8.S2

2°16'

10.93

2°46' 13.34 3'16'

1 5.7S

3°46'

18.1S

4°16'

20.S6 4°46'

22.96

8.60

2°1 7'

1 1.01

2°47' 13.42

3°17'

IS.83 3'47'

18.23

4°17'

20.64

4°47'

23.04

8.68

2°1 8'

1 1.09

2°48' 13.SO

3°18'

IS.91

3°48'

18.31 4°18'

20.72

4°48'

23.12

8.76

2'19'

1 1.17

2°49'

13.58

3°19'

!S.99

3°49'

18.39

4°19'

20.80

4°49'

23.20

8.84

2°20'

l l.2S

2°50'

13.66

3'20' 16.07

3°SO'

18.47

4°20'

20.88

4°50'

23.28

8.92

2°21 '

1 1 .33 2°SI '

13.74

3°21'

16. 1 S

3°S1 '

18 SS

4°21 '

20.96 4°SI'

23.36

9.00

2"22'

1 1.41

2°S2'

13.82

3'22'

16.23

3°S2'

18.63 4°22'

21.04

4°S2'

23.44

9.08

2°23'

1 1 .49

2°S3'

13.90

3°23'

16.31

3°S3'

18.71

4°23' 21.12 4°S3'

23.S2

9. 16

2"24'

I I.S7 2°S4'

13.98

3°24'

16.39

3'S4'

18.79

4°24'

21.20 4°S4'

23.60

9.24

2°2S'

1 1.6S

2°SS'

14.06

3°2S'

1 6.47

3°5S'

18.87

2S' 21.28

4°SS'

23.68

9.32

2°26'

1 1.73

2"S6'

14.14

3°26'

16.SS

3'S6'

18.9S

4°26'

21.36

4'S6'

23.76

9 40

2°27'

1 1.81

2°S7'

14.22

3°27' 16.63

3°S7'

19.03

4°27'

21 .44

4°S7'

23.84

9.48

2°28'

1 1.89

2°S8'

14.30

3°28'

16.71

3°S8'

19. 1 1

4°28'

21.S2

4°S8'

23.92

9.S6

2°29'

1 1.97

2°S9'

14.38

3°29'

16.79

3°S9'

19.19

4°29'

21.60

4°S9'

24.00

..,..

6�

5°00'

5°01 '

5°02'

5°03'

S004'

S00S'

S007'

5•os·

S009'

S0 W '

S0 l

I '

S0 12'

S01 3'

5°14'

S0 IS'

S0 1 6'

S" 1 7'

S018'

S019'

S020'

so21

•

5°22'

S023'

5°24'

5°25'

5°2S'

5°27'

5°28'

5°29'

24.08

24.I S

24.24

24.32

24.40

24.48

24.S6

24.S4

24.72

24.80

24.88

24.9S

2S.04

2S. I 2

25.20

25.29

2S.37

25.4S

2S.53

2S.61

25.69

2S.77

2S.8S

25.93

26.0 1

26.09

26. 1 7

26.25

26.33

2S.4 1

6�

5°30'

2S.49

5°3 1 '

2S.57

5°32' 2S.S5

5°33'

2S.73

S034'

2S.81

S03S'

26.89

S"3S'

26.97

S037' 27.0S

5•3s·

27. 1 3

S039'

27.21

S040'

27. 29

5°41 '

27.37

S042'

27.4S

S043'

27.53

S044'

27.SI

S045'

27.S9

S046'

27. 77

S047'

27.8S

S048'

27.93

5°49'

28.01

5°SO '

28.09

S05l '

28.17

5°S2'

28.2S

5°53'

28.33

5°54'

28.41

S055'

28.49

5°5S'

28.S7

5°57'

28.65

5°58'

28.73

5°59'

28.81

6�

S000'

28.89

S'30'

31.30

S00 l '

28.97

6°31 ,

31.38

S002'

29.05

S032'

31.4S

S003'

29. 1 3 S033'

3 1.54

S004'

29.21

S034'

31.S2

soos·

29.29

S035'

31 .70

S00S'

29.37

S036'

31.78

S007' 29.45 S"37'

3 1 .8S

S008'

29.S3

S038'

31 .94

S009' 29.SI

6°39'

32.02

so w•

29.69

s·4o'

32. 1 0

S01 I '

29.77

S04 l '

32. 1 8

6° 12' 29.85

S"42'

32.2S

5· 1 3 ' 29.93

S'"43'

32.34

6°14 '

30.01

S044'

32.42

S0 I S'

30. 10

S04S'

32.50

6° 16'

30. 18

S04S'

32.58

S017' 30.26

S047'

32.SS

S0 !8'

30.34

S048'

32.74

6°19'

30.42

S049'

32.82

S020'

so so·

32.90

S02 l '

30.S8

S0S I '

32.98

S022'

30.6S

6°S2' 33.06

S023'

30.74

S053'

33. 1 4

6"24'

30.82

S054'

33.22

6°25'

30.90

6°SS'

33.30

S02S'

30.98 6°5S'

33.38

6°27'

3 1.06

S057'

33.4S

6°28'

3 1 . 1 4

S058'

33.54

6°29'

31.22

6°59' 33.62

Appendix 4 cont'd

6�

I!.R

6�

7°00' 33.70

7°30'

36. 1 1

s·oo·

38.51 8°30'

40.9 1 9"00'

43.31

9°30'

45.71

7°01 '

33.78

7°3 1 '

3S. I 9 s·o J '

38.59

8°3 1 '

40.99

9"01 '

43.39

9°31 '

45.79

7°02'

33.8S

7°32'

36.27

8°02'

38.S7

8°32'

41.07

9·o2·

43.47

9°32'

45.87

7°03'

33.94

7°33'

3S.35

s·o3'

38.75

8°33'

41.15

9°03'

43.55

9°33' 45.9S

7°04'

34.02

7°34'

3S.43

s·o4'

38.83

8'34'

41.23

9'04'

43.S3

9°34'

4S.03

7°05'

34.W

7°3S' 3S.SI

s·os·

38.9 1

8°3S'

41.31

9'05'

43.71 9°35'

4S. I I

7°0S'

34. 1 8

7°3S'

3S.S9

soos·

38.99 s•35'

4 1 .39

9"0S'

43.79

9°3S'

46. 1 9

7°07'

34.26

7°37'

3S.S7

8"07'

39.07

8°37'

4 1.47

9'07'

43.87

9°37'

46.27

7°08'

34.34

7°38'

36.7S

8°08'

39. IS

8°38'

41.S5

9"08'

43.95

9°38'

4S.3S

7°09'

34.42

7°39'

36.83

8"09 '

39.23 8°39'

41 .63 9"09'

44.03 9°39'

46.43

1 7°0'

34.SO

7°40'

36.91 8°10'

39.31

8°40'

41.71

9· w·

44. 1 I

9"40'

4S.SI

]OJ I '

34.S8

7°4 1 '

3S.99

8"1 I '

39.39

8°41 '

41.79

9" 1 1 '

44. 19

9°4 1 '

4S.S9

7° 1 2'

34.66

7°42'

37.07

8" 12'

39.47

8°42'

41.87

9" 1 2'

44.27

9°42'

4S.S7

7°1 3'

34.74

7°43' 37. 1 5 s·I3'

39.55

s•43'

4 1.95

9" 13'

44.3S

9°43'

46.7S

7° 14'

34.82 7°44' 37.23

s·I4' 39.S3 8°44'

42.03

9'14'

44.43

9°44'

4S.83

7°15'

34.91

7°45'

37.31

S" IS'

39.7 1

8°45'

42. 1 1

9"1S'

44.SI

9°45'

4S.91

7°16'

34.99

7"46'

37.39

s·I6'

39.79

8°46'

42.19

901 6'

44.S9

9°46'

4S.99

7°17'

35.07

7°47'

.37.47 8' 1 7' 39.87 8°47'

42.27

9"17' 44.67

9c47'

47.07

7°18'

35.I S 7°48'

37.S5

8" 18'

39.95

8°48'

42.35

9"1 8'

44.7S 9"48'

47. 1 S

]OJ9'

35.23

7°49'

37.S3

8" 1 9 '

40.03

8°49 '

42.43

90 1 9'

44.83 9°49' 47.23

7°20'

35.31

7°SO'

37. 7 1

8"20'

40. 1 I

8°SO'

42.SJ

9"20'

44.91

9°SO' 47.31

7°2 1 '

35.39

7"SI ' 37.79

8'21 '

40. 19

8°S I '

42.S9

902 1 '

44.99

9°5 1 ' 47.39

7°22'

3S.47

7°52'

37.87

s·22'

40.27

8°S2'

42.S7

9°22' 45.07

9°52'

47.47

7°23'

35.55

7°S3'

37.95

8°23'

40.35

8°S3'

42.75

9°23'

45. 1 5

9°53'

47.55

7°24'

35.63 7°54'

38.03

8"24'

40.43

8°54' 42.83

9°24'

45.23

9°S4'

47. S3

7°25'

35.71

7°55'

38. 1 1

s·25'

40.51

8°55'

42.91

9"25'

45.31

9°S5'

47. 7 1

7°2S'

35.79

7°5S'

38.19

8"26'

40.59 8°56' 42.99 9"2S'

45.39

9"56'

47.79

202]'

35.87 7°57'

38.27 s·21'

40.S7

s·57'

43.07

9"27'

45.47

9°57'

47.87

7°28'

35.97

7°58'

38.35

s·2s·

40.75

8"58'

43.15 9"28'

45.55

9°58'

47.95

7°29'

36.03 7'59'

38.43

8"29'

40.83

8°59'

43.23

9"29'

45.63

9o59'

48.03

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