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GB/T 10085-2018: Basic parameters of cylindrical worm gears
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Basic parameters of cylindrical worm gears
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Basic data | Standard ID | GB/T 10085-2018 (GB/T10085-2018) | | Description (Translated English) | Basic parameters of cylindrical worm gears | | Sector / Industry | National Standard (Recommended) | | Classification of Chinese Standard | J17 | | Classification of International Standard | 21.200 | | Word Count Estimation | 17,162 | | Date of Issue | 2018-05-14 | | Date of Implementation | 2018-12-01 | | Older Standard (superseded by this standard) | GB/T 10085-1988 | | Regulation (derived from) | National Standards Announcement No. 6 of 2018 | | Issuing agency(ies) | State Administration for Market Regulation, China National Standardization Administration | GB/T 10085-2018: Basic parameters of cylindrical worm gears---This is a DRAFT version for illustration, not a final translation. Full copy of true-PDF in English version (including equations, symbols, images, flow-chart, tables, and figures etc.) will be manually/carefully translated upon your order.
Basic parameters of cylindrical worm gears
ICS 21.200
J17
National Standards of People's Republic of China
Replace GB/T 10085-1988
Basic parameters of cylindrical worm drive
Published on.2018-05-14
2018-12-01 implementation
State market supervision and administration
China National Standardization Administration issued
Foreword
This standard was drafted in accordance with the rules given in GB/T 1.1-2009.
This standard replaces GB/T 10085-1988 "Basic parameters of cylindrical worm drive".
Compared with GB/T 10085-1988, the main changes of this standard are as follows.
--- Added standard "preface";
--- The manner in which the scope of application is expressed has been adjusted (see Chapter 1, Chapter 1 of the 1988 edition);
--- Increased the requirements for ZC worms (see Chapter 3, Chapter 3 of the 1988 edition).
Please note that some of the contents of this document may involve patents. The issuing organization of this document is not responsible for identifying these patents.
This standard is proposed and managed by the National Gear Standardization Technical Committee (SAC/TC52).
This standard was drafted. Chongqing Machine Tool (Group) Co., Ltd., Zhengzhou Machinery Research Institute Co., Ltd., Beijing University of Technology.
The main drafters of this standard. Li Xianguang, Yu Kebin, Li Yi, Zhang Yuanguo, Shi Zhaoyao, Long Lin, Zhang Liang, Li Mingyu, Xie Xiaoqing, Li Wu,
Huang Guangrong, Wang Zhigang, Guan Hongjie.
The previous versions of the standards replaced by this standard are.
---GB/T 10085-1988.
Basic parameters of cylindrical worm drive
1 Scope
This standard specifies the basic parameters of cylindrical worm gear transmission.
This standard is applicable to cylindrical worm drive with modulus m≥1mm and shaft angle Σ=90°.
2 Normative references
The following documents are indispensable for the application of this document. For dated references, only dated versions apply to this article.
Pieces. For undated references, the latest edition (including all amendments) applies to this document.
GB/T 10087 cylindrical worm basic tooth profile
GB/T 10088 cylindrical worm modulus and diameter
3 Basic dimensions and parameters of the worm
The basic dimensions and parameters of the cylindrical worm shall be as specified in Table 1 (where the modulus and diameter are selected in GB/T 10088);
At the same time, the corresponding ZA, ZI, ZN, ZK and ZC worms can be obtained by different methods (see GB/T 10087 for the type of worm).
ZI and ZK worms are recommended.
In addition to special requirements, right-handed worms should be used.
Note. Since the tooth profile of the ZC worm is inconsistent with other types of worms, the tip diameter da1 and the root circle diameter df1 of the worm in Table 1 are not applicable.
ZC worm, its size needs to be calculated separately.
4 Center distance a
Generally, the center distance a of the reduction gear of the cylindrical worm drive should be selected according to the following values, in millimeters (mm).
40; 50; 63; 80; 100; 125; 160; (180);.200; (225); 250; (280); 315; (355); 400; (450);
The center distance greater than 500 mm can be selected according to the priority number of the priority number R20.
Note. The numbers in parentheses are not used as much as possible.
5 transmission ratio i
Generally, the nominal value of the transmission ratio i of the reduction gear of the cylindrical worm drive should be selected according to the following values.
5;7.5;10;12.5;15;20;25;30;40;50;60;70;80.
Among them, 10; 20; 40 and 80 are basic transmission ratios, which should be used preferentially.
6 worm and worm gear parameters matching and marking method
For the worm drive with center distance specified in this standard, the matching of worm and worm gear parameters and the marking method of dimensional specifications are shown in Appendix A.
Note. Since the tooth profile and the displacement coefficient of the ZC worm drive are inconsistent, the matching of the worm and worm gear parameters needs to be determined separately.
7 The relationship between the basic geometry of cylindrical worm drive
See Appendix B for the relationship between the basic geometry of a cylindrical worm drive.
Table 1 Basic dimensions and parameters of the worm
Modulus
m/mm
Axial pitch
Px/mm
Indexing straight
Diameter d1/mm
Number of worm heads
Z1
Diameter coefficient
Tip circle diameter
Da1/mm
Root diameter
Df1/mm
Indexing cylinder
Lead angle γ
Description
1 3.142 18 1 18.000 20 15.6 3°10'47′′ Self-locking
1.25 3.927
20 1 16.000 22.5 17 3°34'35′′
22.4 1 17.920 24.9 19.4 3°11'38′′ self-locking
1.6 5.027
12.500 23.2 16.16
17.500 31.2 24.16
4°34'26′′
9°05'25′′
17°44'41′′
3°16'14′′ self-locking
2 6.283
(18)
22.4
(28)
35.5
9.000 22 13.2
11.200 26.4 17.6
14.000 32 23.2
17.750 39.5 30.7
6°20'25′′
12°31'44′′
23°57'45′′
5°06'08′′
10°07'29′′
19°39'14′′
28°10'43′′
4°05'08′′
8°07'48′′
15°56'43′′
3°13'28′′ self-locking
2.5 7.854
(22.4)
(35.5)
8.960 27.4 16.4
11.200 33 22
14.200 40.5 29.5
18.000 50 39
6°22'06′′
12°34'59′′
24°03'26′′
5°06'08′′
10°07'29′′
19°39'14′′
28°10'43′′
4°01'42′′
8°01'02′′
15°43'55′′
3°10'47′′ self-locking
Table 1 (continued)
Modulus
m/mm
Axial pitch
Px/mm
Indexing straight
Diameter d1/mm
Number of worm heads
Z1
Diameter coefficient
Tip circle diameter
Da1/mm
Root diameter
Df1/mm
Indexing cylinder
Lead angle γ
Description
3.15 9.896
(28)
35.5
(45)
8.889 34.3 20.4
11.270 41.8 27.9
14.286 51.3 37.4
17.778 62.3 48.4
6°25'08′′
12°40'49′′
24°13'40′′
5°04'15′′
10°03'48′′
19°32'29′′
28°01'50′′
4°00'15′′
7°58'11′′
15°38'32′′
3°13'10′′ self-locking
4 12.566
(31.5)
(50)
7.875 39.5 21.9
10.000 48 30.4
12.5000 58 40.4
17.75 79 61.4
7°14'13′′
14°15'00′′
26°55'40′′
5°42'38′′
11°18'36′′
21°48'05′′
30°57'50′′
4°34'26′′
9°05'25′′
17°44'41′′
3°13'28′′ self-locking
5 15.708
(40)
(63)
8.000 50 28
10.000 60 38
12.600 73 51
18.000 100 78
7°07'30′′
14°02'10′′
26°33'54′′
5°42'38′′
11°18'36′′
21°48'05′′
30°57'50′′
4°32'16′′
9°01'10′′
17°36'45′′
3°10'47′′ self-locking
Table 1 (continued)
Modulus
m/mm
Axial pitch
Px/mm
Indexing straight
Diameter d1/mm
Number of worm heads
Z1
Diameter coefficient
Tip circle diameter
Da1/mm
Root diameter
Df1/mm
Indexing cylinder
Lead angle γ
Description
6.3 19.792
(50)
(80)
7.936 62.6 34.9
10.000 75.6 47.9
12.698 92.6 64.8
17.778 124.6 96.9
7°10'53′′
14°08'39′′
26°44'53′′
5°42'38′′
11°18'36′′
21°48'05′′
30°57'50′′
4°30'10′′
8°57'02′′
17°29'04′′
3°13'10′′ self-locking
8 25.133
(63)
(100)
7.875 79 43.8
10.000 96 60.8
12.500 116 80.8
17.500 156 120.8
7°14'13′′
14°15'00′′
26°53'40′′
5°42'38′′
11°18'36′′
21°48'05′′
30°57'50′′
4°34'26′′
9°05'25′′
17°44'41′′
3°16'14′′ self-locking
10 31.416
(71)
(112)
7.100 91 47
9.000 110 66
11.200 132 88
16.000 180 136
8°01'02′′
15°43'55′′
29°23'46′′
6°20'25′′
12°31'44′′
23°57'45′′
33°41'24′′
5°06'08′′
10°07'29′′
19°39'14′′
3°34'35′′
Table 1 (continued)
Modulus
m/mm
Axial pitch
Px/mm
Indexing straight
Diameter d1/mm
Number of worm heads
Z1
Diameter coefficient
Tip circle diameter
Da1/mm
Root diameter
Df1/mm
Indexing cylinder
Lead angle γ
Description
12.5 39.270
(90)
(140)
7.200 115 60
8.960 137 82
11.200 165 110
16.000 225 170
7°50'26′′
15°31'27′′
29°03'17′′
6°22'06′′
12°34'59′′
24°03'26′′
5°06'08′′
10°07'29′′
19°39'14′′
3°34'35′′
16 50.265
(112)
(180)
7.000 144 73.6
8.750 172 101.6
11.250 212 141.6
15.625 282 211.6
8°07'48′′
15°56'43′′
29°44'42′′
6°31'11′′
12°52'30′′
24°34'02′′
5°04'47′′
10°04'50′′
19°34'23′′
3°39'43′′
20 62.832
(140)
(224)
7.000 180 92
8.000.200 112
11.200 264 176
15.750 355 267
8°07'48′′
15°56'43′′
29°44'42′′
7°07'30′′
14°02'10′′
26°33'54′′
5°06'08′′
10°07'29′′
19°39'14′′
3°37'59′′
Table 1 (continued)
Modulus
m/mm
Axial pitch
Px/mm
Indexing straight
Diameter d1/mm
Number of worm heads
Z1
Diameter coefficient
Tip circle diameter
Da1/mm
Root diameter
Df1/mm
Indexing cylinder
Lead angle γ
Description
25 78.540
(180)
(280)
7.200 230 120
8.000 250 140
11.200 330 220
16.000 450 340
7°54'26′′
15°31'27′′
27°03'17′′
7°07'30′′
14°02'10′′
26°33'54′′
5°06'08′′
10°07'29′′
19°39'14′′
3°34'35′′
Note 1. The numbers in parentheses are not used as much as possible.
Note 2. The self-locking referred to in this table is a cylindrical worm with a lead angle γ< 3°30'.
Appendix A
(normative appendix)
Matching and marking method for cylindrical worm and worm gear parameters
A.1 Matching of worm and worm gear parameters
The ZA, ZN, ZK, ZI and ZC worm gears with center distance are specified in this standard, and the parameters of the worm and worm gear are matched according to Table A.1.
Provisions.
A.2 Marking methods for dimensions of worms, worm gears and their drives
A.2.1 Marking content
The contents of the worm include. worm type (ZA, ZN, ZK, ZI, ZC), modulus m, index circle diameter d1, spiral direction (right-handed.
R or left-handed. L), the number of heads is z1.
The markings of the worm gear include. the type of matching worm (ZA, ZN, ZI, ZK, ZC), the modulus m, and the number of teeth z2.
The marking method of the worm drive is represented by a fraction, in which the numerator is the code of the worm and the denominator is the worm gear number z2.
A.2.2 Marking example
A.2.2.1 right-handed cylindrical worm with tooth profile N1, tooth angle αn 20°, modulus 10 mm, index circle diameter 90 mm, head number 2;
A worm gear with a number of teeth of 80 and a cylindrical worm drive consisting of them. then
The worm is marked as. worm ZN1 0×90R2;
The worm gear is marked as. worm gear ZN1 0×80;
The worm drive is marked as. ZN1 0×90R2
Or worm drive ZN1 0×90R2/80.
A.2.2.2 For ZK worms, in addition to the markings specified in A.2.1, the tool diameter d0 shall also be indicated. If grinding with a diameter of 500mm
Cut ZK1 worm, then
The worm is marked as. worm ZK1 0×90R2-500;
The worm gear is marked as. worm gear ZK1 0×80;
The worm drive is marked as. ZK1 0×90R2-500
Or worm drive ZK1 0×90R2-500/80.
A.2.2.3 When the tooth angle αn is not 20°, if it is 15°, then
The worm is marked as. worm ZN1 0×90R2×15°
Worm ZK1 0×90R2×15°-500;
The worm gear is marked as. worm gear ZN1 0×80×15°
Worm gear ZK1 0×80×15°
The worm drive is marked as. ZN1 0×90R2×15°
Or worm drive ZN1 0 × 90R2 × 15 °/80;
ZK1 0×90R2×15°-500
Or worm drive ZK1 0 × 90R2 × 15 ° - 500/80.
Table A.1 Matching of worm and worm gear parameters
Center distance
a/mm
Transmission ratio
Modulus
m/mm
Worm indexing circle
Diameter d1/mm
Number of worm heads
Z1
Worm gear number
Z2
Worm gear displacement
Coefficient x2
Description
4.83 2 22.4 6 29 -0.100
7.25 2 22.4 4 29 -0.100
9.5a 1.6 20 4 38 -0.250
- - - - - -
14.5 2 22.4 2 29 -0.100
19a 1.6 20 2 38 -0.250
29 2 22.4 1 29 -0.100
38a 1.6 20 1 38 -0.250
49 1.25 20 1 49 -0.500
62 1 18 1 62 0.000 Self-locking
4.83 2.5 28 6 29 -0.100
7.25 2.5 28 4 29 -0.100
9.75a 2 22.4 4 39 -0.100
12.75 1.6 20 4 51 -0.500
14.5 2.5 28 2 29 -0.100
19.5a 2 22.4 2 39 -0.100
25.5 1.6 20 2 51 -0.500
29 2.5 28 1 29 -0.100
39a 2 22.4 1 39 -0.100
51 1.6 20 1 51 -0.500
62 1.25 22.4 1 62 0.040
- - - - - -
82 1 18 1 82 0.000
Self-locking
Self-locking
4.83 3.15 35.5 6 29 -0.1349
7.25 3.15 35.5 4 29 -0.1349
9.75a 2.5 28 4 39 0.100
12.75 2 22.4 4 51 0.400
14.5 3.15 35.5 2 29 -0.1349
19.5a 2.5 28 2 39 0.100
25.5 2 22.4 2 51 0.400
29 3.15 35.5 1 29 -0.1349
39a 2.5 28 1 39 0.100
51 2 22.4 1 51 0.400
61 1.6 28 1 61 0.125
67 1.6 20 1 67 -0.375
82a 1.25 22.4 1 82 0.440
Self-locking
Self-locking
Table A.1 (continued)
Center distance
a/mm
Transmission ratio
Modulus
m/mm
Worm indexing circle
Diameter d1/mm
Number of worm heads
Z1
Worm gear number
Z2
Worm gear displacement
Coefficient x2
Description
5.17 4 40 6 31 -0.500
7.75 4 40 4 31 -0.500
9.75a 3.15 35.5 4 39 0.2619
13.25 2.5 28 4 53 -0.100
15.5 4 40 2 31 -0.500
19.5a 3.15 35.5 2 39 0.2619
26.5 2.5 28 2 53 -0.100
31 4 40 1 31 -0.500
39a 3.15 35.5 1 39 0.2619
53 2.5 28 1 53 -0.100
62 2 35.5 1 62 0.125
69 2 22.4 1 69 -0.100
82a 1.6 28 1 82 0.250
Self-locking
Self-locking
5.17 5 50 6 31 -0.500
7.75 5 50 4 31 -0.500
10.25a 4 40 4 41 -0.500
13.25 3.15 35.5 4 53 -0.3889
15.5 5 50 2 31 -0.500
20.5a 4 40 2 41 -0.500
26.5 3.15 35.5 2 53 -0.3889
31 5 50 1 31 -0.500
41a 4 40 1 41 -0.500
53 3.15 35.5 1 53 -0.3889
62 2.5 45 1 62 0.000
70 2.5 28 1 70 -0.600
82a 2 35.5 1 82 0.125
Self-locking
Self-locking
5.17 6.3 63 6 31 -0.6587
7.75 6.3 63 4 31 -0.6587
10.25a 5 50 4 41 -0.500
12.75 4 40 4 51 0.750
15.5 6.3 63 2 31 -0.6587
20.5a 5 50 2 41 -0.500
25.5 4 40 2 51 0.750
31 6.3 63 1 31 -0.6587
41a 5 50 1 41 -0.500
51 4 40 1 51 0.750
62 3.15 56 1 62 -0.2063 Self-locking
Table A.1 (continued)
Center distance
a/mm
Transmission ratio
Modulus
m/mm
Worm indexing circle
Diameter d1/mm
Number of worm heads
Z1
Worm gear number
Z2
Worm gear displacement
Coefficient x2
Description
69 3.15 35.5 1 69 -0.4524
82a 2.5 45 1 82 0.000 Self-locking
5.17 8 80 6 31 -0.500
7.75 8 80 4 31 -0.500
10.25a 6.3 63 4 41 -0.1032
13.25 5 50 4 53 0.500
15.5 8 80 2 31 -0.500
20.5a 6.3 63 2 41 -0.1032
26.5 5 50 2 53 0.500
31 8 80 1 31 -0.500
41a 6.3 63 1 41 -0.1032
53 5 50 1 53 0.500
62 4 71 1 62 0.125
70 4 40 1 70 0.000
83a 3.15 56 1 83 0.4048
Self-locking
Self-locking
- - - - - -
7.25 10 71 4 29 -0.050
9.5a 8 63 4 38 -0.4375
12 6.3 63 4 48 -0.4286
15.25 5 50 4 61 0.500
19a 8 63 2 38 -0.4375
24 6.3 63 2 48 -0.4286
30.5 5 50 2 61 0.500
38a 8 63 1 38 -0.4375
48 6.3 63 1 48 -0.4286
61 5 50 1 61 0.500
71 4 71 1 71 0.625
80a 4 40 1 80 0.000
Self-locking
5.17 10 90 6 31 0.000
7.75 10 90 4 31 0.000
10.25a 8 80 4 41 -0.500
13.25 6.3 63 4 53 0.246
15.5 10 90 2 31 0.000
20.5a 8 80 2 41 -0.500
26.5 6.3 63 2 53 0.246
31 10 90 1 31 0.000
41a 8 80 1 41 -0.500
Table A.1 (continued)
Center distance
a/mm
Transmission ratio
Modulus
m/mm
Worm indexing circle
Diameter d1/mm
Number of worm heads
Z1
Worm gear number
Z2
Worm gear displacement
Coefficient x2
Description
53 6.3 63 1 53 0.246
62 5 90 1 62 0.000 Self-locking
70 5 50 1 70 0.000
82a 4 71 1 82 0.125 Self-locking
7.25 12.5 90 4 29 -0.100
9.5a 10 71 4 38 -0.050
11.75 8 80 4 47 -0.375
15.25 6.3 63 4 61 0.2143
19.5a 10 71 2 38 -0.050
23.5 8 80 2 47 -0.375
30.5 6.3 63 2 61 0.2143
38a 10 71 1 38 -0.050
47 8 80 1 47 -0.375
61 6.3 63 1 61 0.2143
71 5 90 1 71 0.500
80a 5 50 1 80 0.000
Self-locking
7.75 12.5 112 4 31 0.020
10.25a 10 90 4 41 0.000
13 8 80 4 52 0.250
15.5 12.5 112 2 31 0.020
20.5a 10 90 2 41 0.000
26 8 80 2 52 0.250
31 12.5 112 1 31 0.020
41a 10 90 1 41 0.000
52 8 80 1 52 0.250
61 6.3 112 1 61 0.2937
70 6.3 63 1 70 -0.3175
81a 5 90 1 81 0.500 Self-locking
7.25 16 112 4 29 -0.500
9.5a 12.5 90 4 38 -0.200
12 10 90 4 48 -0.500
15.25 8 80 4 61 -0.500
19a 12.5 90 2 38 -0.200
24 10 90 2 48 -0.500
30.5 8 80 2 61 -0.500
38a 12.5 90 1 38 -0.200
48 10 90 1 48 -0.500
Table A.1 (continued)
Center distance
a/mm
Transmission ratio
Modulus
m/mm
Worm indexing circle
Diameter d1/mm
Number of worm heads
Z1
Worm gear number
Z2
Worm gear displacement
Coefficient x2
Description
61 8 80 1 61 -0.500
71 6.3 112 1 71 0.0556 Self-locking
80a 6.3 63 1 80 -0.5556
7.75 16 140 4 31 -0.1875
10.25a 12.5 112 4 41 0.220
13.25 10 90 4 53 0.500
15.5 16 140 2 31 -0.1875
20.5a 12.5 112 2 41 0.220
26.5 10 90 2 53 0.500
31 16 140 1 31 -0.1875
41a 12.5 112 1 41 0.220
53 10 90 1 53 0.500
61 8 140 1 61 0.125
69 8 80 1 69 -0.125
82a 6.3 112 1 82 0.1111 Self-locking
7.25 20 140 4 29 -0.250
9.5a 16 112 4 38 -0.3125
12.25 12.5 112 4 49 -0.580
15.25 10 90 4 61 0.500
19a 16 112 2 38 -0.3125
24.5 12.5 112 2 49 -0.580
30.5 10 90 2 61 0.500
38a 16 112 1 38 -0.3125
49 12.5 112 1 49 -0.580
61 10 90 1 61 0.500
71 8 140 1 71 0.125
79a 8 80 1 79 -0.125
Self-locking
7.75 20 160 4 31 0.500
10.25a 16 140 4 41 0.125
13.5 12.5 112 4 54 0.520
15.5 20 160 2 31 0.500
20.5a 16 140 2 41 0.125
27 12.5 112 2 54 0.520
31 20 160 1 31 0.500
41a 16 140 1 41 0.125
54 12.5 112 1 54 0.520
63 10 160 1 63 0.500
Table A.1 (continued)
Center distance
a/mm
Transmission ratio
Modulus
m/mm
Worm indexing circle
Diameter d1/mm
Number of worm heads
Z1
Worm gear number
Z2
Worm gear displacement
Coefficient x2
Description
71 10 90 1 71 0.000
82a 8 140 1 82 0.250 Self-locking
7.25 25 180 4 29 -0.100
9.75a 20 140 4 39 -0.500
12.25 16 112 4 49 0.125
15.75 12.5 112 4 63 0.020
19.5a 20 140 2 39 -0.500
24.5 16 112 2 49 0.125
31.5 12.5 112 2 63 0.020
39a 20 140 1 39 -0.500
49 16 112 1 49 0.125
63 12.5 112 1 63 0.020
73 10 160 1 73 0.500
81a 10 90 1 81 0.000
7.75 25.200 4 31 0.500
10.25a 20 160 4 41 0.500
13.25 16 140 4 53 0.375
15.5 25.200 2 31 0.500
20.5a 20 160 2 41 0.500
26.5 16 140 2 53 0.375
31 25.200 1 31 0.500
41a 20 160 1 41 0.500
53 16 140 1 53 0.375
63 12.5.200 1 63 0.500
71 12.5 112 1 71 0.020
83a 10 160 1 83 0.500
Note. The self-locking referred to in this table can only be guaranteed when it is stationary and without vibration.
a With this superscript is the basic gear ratio.
Appendix B
(informative appendix)
Cylindrical worm drive geometry relationship
The basic geometry of a cylindrical worm drive with a shaft angle Σ = 90° is shown in Figure B.1. For the values, see the relationship in Table B.1.
Figure B.1 Basic geometry of a cylindrical worm drive
Table B.1 Geometrical relationship of cylindrical worm drive
Serial number name code relationship description
1 Center distance aa=(d1 d2 2x2m)/2 Selected according to regulations
2 Number of worm heads z1 is selected according to regulations
3 worm gear number z2 is determined by transmission ratio
4 Tooth angle α αx=20° or αn=20° Determined by worm type
5 Modulus mm=mx=mn/cosγ Select according to regulations
6 Transmission ratio ii=n1/n2 The worm is actively selected according to regulations
7 tooth ratio uu=z2/z1 When the worm is active, i=u
8 worm gear displacement coefficient x2 x2=a/m-(d1 d2)/(2m)
9 worm diameter coefficient qq=d1/m
10 worm axial pitch px px=πm
11 worm lead pz pz=πmz1
12 worm index circle diameter d1 d1=mq
13 worm tooth tip diameter da1 da1=d1 2ha1=d1 2h*am
14 worm tooth root circle diameter df1 df1=d1-2hf1=d1-2(h*am c)
15 head clearance cc=c*m according to regulations
Table B.1 (continued)
Serial number name code relationship description
16 Involute worm base circle diameter db1 db1=d1·tgγ/tgγb=mz1/tgγb
17 worm tooth tip height ha1 ha1=h*a·m=(da1-d1)/2
18 worm tooth root height hf1 hf1=(h*ac*)m=(d1-df1)/2
19 worm tooth height h1 h1=ha1 hf1=(da1-df1)/2
20 worm lead angle γ tgγ=mz1/d1=z1/q
21 Involute worm base circle lead angle γb cosγb=cosγcosαn
22 Worm tooth width b1 is determined by design
23 worm wheel index circle diameter d2 d2=mz2=2a-d1-2x2m
24 worm wheel throat diameter da2 da2=d2 2ha2
25 worm gear root diameter df2 df2=d2-2hf2
26 worm gear tip height ha2 ha2=(da2-d2)/2=m(h*a x2)
27 worm gear root height hf2 hf2=(d2-df2)/2=m(h*a-x2 c*)
28 worm gear height h2 h2=ha2 hf2=(da2-df2)/2
29 worm wheel throat diameter rg2 rg2=a-da2/2
30 worm gear width b2 is determined by design
31 worm gear width angle θ θ=2arcsin(b2/d1)
32 worm axial tooth thickness sx sx=πm/2
33 worm normal tooth thickness sn sn=sxcosγ
34 worm gear tooth thickness st is determined by the axial cogging width ex' at the worm pitch circle
35 worm pitch circle diameter d'1 d'1=d1 2x2m=m(q 2x2)
36 worm wheel pitch diameter d'2 d'2=d2
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