GB/T 3478.7-1995 Cylindrical spur involute spline 37.5° pressure angle M value and W value
time:
2024-08-10 22:38:27
- GB/T 3478.7-1995
- Abolished
Standard ID:
GB/T 3478.7-1995
Standard Name:
Cylindrical spur involute spline 37.5° pressure angle M value and W value
Chinese Name:
园柱直齿渐开线花键 37.5°压力角 M值和W值
Standard category:
National Standard (GB)
-
Date of Release:
1995-07-01 -
Date of Implementation:
1996-05-01 -
Date of Expiration:
2009-05-01
Standard ICS number:
Mechanical systems and general parts>>Shafts and couplings>>21.120.30 Keys and keyways, splinesChina Standard Classification Number:
Machinery>>General Parts>>J18 Chain Drive, Belt Drive and Key Connection
alternative situation:
Replaced by GB/T 3478.7-2008Procurement status:
≈ISO 4156-
Release date:
1995-07-12Review date:
2004-10-14Drafting Organization:
Machinery Standardization Research Institute of the Ministry of Machinery IndustryFocal point Organization:
National Technical Committee for Standardization of Machine Shafts and AccessoriesPublishing Department:
State Bureau of Technical SupervisionCompetent Authority:
National Standardization Administration
Description (Translated English) / downloadSkip to download
Summary:
GB/T 3478.7-1995 Cylindrical spur involute spline 37.5° pressure angle M value and W value GB/T3478.7-1995 standard download decompression password: www.bzxz.net
Standard contentSome standard content:
UDC621.886.6
National Standard of the People's Republic of China
GB/T 3478.1~~3478.9-1995
Cylindrical spur involute splines
Straight cylindrical involute splines1995-07-12Published
State Administration of Technical Supervision
1996-05-01Implementation
National Standard of the People's Republic of China
Cylindrical spur involute splines
37.5 Pressure angle M value and W value
Straight cylindrical inyolute splines37. 5° pressure angle--M and w valuesGB/T 3478.7—1995
This standard adopts the third part "Inspection" of ISO4156 "Cylindrical spur involute splines - Metric module - Tooth side fit - General, dimensions and inspection".
1 Subject content and scope of application
This standard specifies the calculation formula and limit size table of M value (bar spacing MR, cross-bar spacing Mk) and W value (average length of external spline common normal) of cylindrical spur involute splines with a standard pressure angle of 37.5°. This standard is applicable to involute splines with a pressure angle of 37.5° designed and manufactured according to GB/T3478.1. 2 Reference standards
GB/T3478.1 Module of cylindrical spur involute spline Basic tooth profile tolerance GB/T3478.3 Dimension table of cylindrical spur involute spline with 37.5° pressure angle GB321 Priority numbers and priority number system
3 Calculation formula for measuring dimensions with measuring rod
Note: It is allowed to use corresponding steel balls instead of measuring rods. 3.1 Calculation formula for measuring dimensions of internal spline gauge rod 3.1.1 Determination of gauge rod diameter DR (see Figure 1) Approved by the State Bureau of Technical Supervision on July 12, 1995 320
Implementation on May 1, 1996
(α+invaci
inv37.5°)
GB/T 3478.7—1995
E+ invaa inv37.5)]
D'Ri - D,Etanαe: — tan(αei -D
-Calculated diameter of gauge rod;
Where: D'R -
-Pressure angle at the contact point between the internal spline and the gauge rod, expressed in radians, α=cas-Diameter at the contact point between the internal spline and the gauge rod; D+D
Deemax
-- Maximum value of the major diameter of the external spline;
-- Minimum value of the minor diameter of the internal spline;
Emax--- Maximum value of the actual tooth width, the value is taken according to the tolerance grade of 7 in the table; invαe,=tanas-α+
inv37.5=0.1128285.
Measuring rod diameter Dk; Select according to R40 in GB321, if D'k is not R40 series When calculating the value, the largest value closest to D'k should be selected. 3.1.2 Calculation of rod spacing MR (see Figure 2) 321
Even number teeth;
Odd number teeth:
Where; MRmax
MRimin-
MRimin
MRimin
cosaimn
cosaimin
cosaimax| |tt||cosaimin
GB/T3478.7—-1995
The maximum value of the internal spline rod spacing;
The minimum value of the internal spline rod spacing:
When E is Emx, the pressure angle on the center circle of the internal spline measuring rod; D&
invaimax
+inv37.5°
When E is Emin, the pressure angle on the center circle of the internal spline measuring rod Pressure angle on the spline; E + inv37.5° -
invaimin
- the diameter of the measuring rod for the internal spline.
3.2 Calculation formula for measuring the size of the measuring rod for the external spline 3.2.1 Determination of the measuring rod diameter DR (see Figure 3) 322
Where: D'Re
GB/T 3478.7--1995
D'r D.Etan(a+ inva.+- So
Calculated diameter of measuring rod;
- inv37.5°)—
Pressure angle at the contact point between external spline and measuring rod, expressed in radians, α-the diameter at the contact point between external spline and measuring rod; Deermax +Dimin
Minimum actual tooth thickness, the values in the table are taken according to tolerance grade 7 and basic deviation h; invac =tanαc.- αce
The measuring rod diameter DR is selected according to R40 in GB321. If D'ke is not a value in the R40 series, the largest value closest to DR should be selected. 3.2.2 Calculation of span MR (see Figure 4) ()
Even number teeth:
Odd number teeth:
Where: MRemin
MRemax
aetnin
MRemin
MRemax
cosaemibzxz.net
cosaemax
cosαenin
GB/T 3478.7--1995
cosaemax
Minimum value of the external spline span;
Maximum value of the external spline span
When S is Smin, the pressure angle on the center circle of the external spline measuring rod;inyαemin
Smin—yuan
+inv37.5°+
When S is Smx, the pressure angle on the center circle of the external spline measuring rod;Des+inv37.5°+
invaemax
Diameter of the external spline measuring rod.
S max
4 Calculation formula for the average length W of the external spline common normal (see Figure 5) Wma
xm·cos37.5°
+es -(T+A)
cos37.5°(0. 5 yuanm + D-inv37 .5°+ es.-(T+A)]inv37.5°
Wmin =cos37. 5°［( — 0. 5)πm + D · inv37.5° + esv — (T + a)]..Wmax -Wmin +T· cos37.5°
Wmin-—minimum value of the average length of the common normal line; Wmax
maximum value of the average length of the common normal line;
K-—number of teeth across, K-1.25×Z/6+0.5
(T+>)——total tolerance;
processing tolerance;
upper deviation of effective tooth thickness.
5 Dimensions measured by measuring rods
5.1 Dimensions measured by measuring rods for internal splines
(rounded);
（ 11 ）
·（ 12 )
For the internal spline measuring rods with a module of 0.5 to 10 mm, a number of teeth of 10 to 100, a tolerance grade of 4 to 7 and a basic deviation of H, the maximum value MRimax and the minimum value MRimin of the rod diameter DRi and the rod spacing are shown in Tables 1 to 14. ·5.2 Measuring rod dimensions of external splines
5.2.1 The measuring rod diameter Dke, the minimum value MRemin and the maximum value MRemax of the span distance for external splines with a module of 0:5 to 10 mm, a number of teeth of 10 to 100, a tolerance grade of 4 to 7 and a basic deviation of h are shown in Tables 15 to 28. 5.2.2 When the basic deviation of the external spline is not h, the span distance dimension shall be calculated according to the formula listed in 3.2.2, or the span distance value in the table may be corrected after the difference AM is calculated according to the following formula. AMre= K, esy
Where K is the conversion coefficient, see Tables 15 to 28.
5.3 The measuring rod diameters Dk and Dk listed in Tables 1 to 28 are determined according to 3.1.1 and 3.2.1. If necessary, make a flat surface on the gauge rod to avoid contact with the bottom of the spline. 5.4 When the actual diameter of the measuring rod selected is different from the diameter listed in the standard, the maximum value Mrimax and minimum value MRimin of the internal spline rod spacing, and the minimum value Mremin and maximum value MRemax of the external spline span rod spacing, shall be calculated according to the actual measuring rod diameter. 6 Limit value of the average length W of the normal line
6.1 The limit value of the average length W of the normal line of the external spline with a module of 0.5 to 10 mm, a number of teeth of 10 to 100, a tolerance grade of 4 to 7, and a basic deviation of h, is shown in Tables 29 to 42.
6.2 When the basic deviation of the tooth thickness of the external spline is not h, the difference △W of the average length of the normal line is calculated according to the following formula. AW - esv · cos37.5° - 0. 793 · esv325
37.5° internal spline
.6.161
GB/T3478.7--1995
Table 1 Rod spacing MR
Module m=0.5
5 Minimum value of effective tooth width
Evmin=0.785
Rod spacing MR for testing Eran and Em
14-570
.13.602
GB/T 3478.7--1995
ContinuedTable 1
Rod spacing M for testing Emin and Emax ri5H
3478.7—1995
Rod spacing MR
Module m=0.75
37.5° internal spline
Minimum effective tooth width Evmin=1.178
Rod spacing Mk for testing Emin and Em
11-445
36-081
14-488
GB/T 3478.7--1995
Continued Table 2
Rod spacing MrR for testing Eain and Ex
41-438
GB/T3478.7—1995
Table 3 Rod spacing M
37.5° internal spline
Module m=l
Minimum value of effective tooth space width
Evmin=1.571
Rod spacing MR for testing Emin and Ema
11-610
28-430
32, 439
38-526
Tip: This standard content only shows part of the intercepted content of the complete standard. If you need the complete standard, please go to the top to download the complete standard document for free.
National Standard of the People's Republic of China
GB/T 3478.1~~3478.9-1995
Cylindrical spur involute splines
Straight cylindrical involute splines1995-07-12Published
State Administration of Technical Supervision
1996-05-01Implementation
National Standard of the People's Republic of China
Cylindrical spur involute splines
37.5 Pressure angle M value and W value
Straight cylindrical inyolute splines37. 5° pressure angle--M and w valuesGB/T 3478.7—1995
This standard adopts the third part "Inspection" of ISO4156 "Cylindrical spur involute splines - Metric module - Tooth side fit - General, dimensions and inspection".
1 Subject content and scope of application
This standard specifies the calculation formula and limit size table of M value (bar spacing MR, cross-bar spacing Mk) and W value (average length of external spline common normal) of cylindrical spur involute splines with a standard pressure angle of 37.5°. This standard is applicable to involute splines with a pressure angle of 37.5° designed and manufactured according to GB/T3478.1. 2 Reference standards
GB/T3478.1 Module of cylindrical spur involute spline Basic tooth profile tolerance GB/T3478.3 Dimension table of cylindrical spur involute spline with 37.5° pressure angle GB321 Priority numbers and priority number system
3 Calculation formula for measuring dimensions with measuring rod
Note: It is allowed to use corresponding steel balls instead of measuring rods. 3.1 Calculation formula for measuring dimensions of internal spline gauge rod 3.1.1 Determination of gauge rod diameter DR (see Figure 1) Approved by the State Bureau of Technical Supervision on July 12, 1995 320
Implementation on May 1, 1996
(α+invaci
inv37.5°)
GB/T 3478.7—1995
E+ invaa inv37.5)]
D'Ri - D,Etanαe: — tan(αei -D
-Calculated diameter of gauge rod;
Where: D'R -
-Pressure angle at the contact point between the internal spline and the gauge rod, expressed in radians, α=cas-Diameter at the contact point between the internal spline and the gauge rod; D+D
Deemax
-- Maximum value of the major diameter of the external spline;
-- Minimum value of the minor diameter of the internal spline;
Emax--- Maximum value of the actual tooth width, the value is taken according to the tolerance grade of 7 in the table; invαe,=tanas-α+
inv37.5=0.1128285.
Measuring rod diameter Dk; Select according to R40 in GB321, if D'k is not R40 series When calculating the value, the largest value closest to D'k should be selected. 3.1.2 Calculation of rod spacing MR (see Figure 2) 321
Even number teeth;
Odd number teeth:
Where; MRmax
MRimin-
MRimin
MRimin
cosaimn
cosaimin
cosaimax| |tt||cosaimin
GB/T3478.7—-1995
The maximum value of the internal spline rod spacing;
The minimum value of the internal spline rod spacing:
When E is Emx, the pressure angle on the center circle of the internal spline measuring rod; D&
invaimax
+inv37.5°
When E is Emin, the pressure angle on the center circle of the internal spline measuring rod Pressure angle on the spline; E + inv37.5° -
invaimin
- the diameter of the measuring rod for the internal spline.
3.2 Calculation formula for measuring the size of the measuring rod for the external spline 3.2.1 Determination of the measuring rod diameter DR (see Figure 3) 322
Where: D'Re
GB/T 3478.7--1995
D'r D.Etan(a+ inva.+- So
Calculated diameter of measuring rod;
- inv37.5°)—
Pressure angle at the contact point between external spline and measuring rod, expressed in radians, α-the diameter at the contact point between external spline and measuring rod; Deermax +Dimin
Minimum actual tooth thickness, the values in the table are taken according to tolerance grade 7 and basic deviation h; invac =tanαc.- αce
The measuring rod diameter DR is selected according to R40 in GB321. If D'ke is not a value in the R40 series, the largest value closest to DR should be selected. 3.2.2 Calculation of span MR (see Figure 4) ()
Even number teeth:
Odd number teeth:
Where: MRemin
MRemax
aetnin
MRemin
MRemax
cosaemibzxz.net
cosaemax
cosαenin
GB/T 3478.7--1995
cosaemax
Minimum value of the external spline span;
Maximum value of the external spline span
When S is Smin, the pressure angle on the center circle of the external spline measuring rod;inyαemin
Smin—yuan
+inv37.5°+
When S is Smx, the pressure angle on the center circle of the external spline measuring rod;Des+inv37.5°+
invaemax
Diameter of the external spline measuring rod.
S max
4 Calculation formula for the average length W of the external spline common normal (see Figure 5) Wma
xm·cos37.5°
+es -(T+A)
cos37.5°(0. 5 yuanm + D-inv37 .5°+ es.-(T+A)]inv37.5°
Wmin =cos37. 5°［( — 0. 5)πm + D · inv37.5° + esv — (T + a)]..Wmax -Wmin +T· cos37.5°
Wmin-—minimum value of the average length of the common normal line; Wmax
maximum value of the average length of the common normal line;
K-—number of teeth across, K-1.25×Z/6+0.5
(T+>)——total tolerance;
processing tolerance;
upper deviation of effective tooth thickness.
5 Dimensions measured by measuring rods
5.1 Dimensions measured by measuring rods for internal splines
(rounded);
（ 11 ）
·（ 12 )
For the internal spline measuring rods with a module of 0.5 to 10 mm, a number of teeth of 10 to 100, a tolerance grade of 4 to 7 and a basic deviation of H, the maximum value MRimax and the minimum value MRimin of the rod diameter DRi and the rod spacing are shown in Tables 1 to 14. ·5.2 Measuring rod dimensions of external splines
5.2.1 The measuring rod diameter Dke, the minimum value MRemin and the maximum value MRemax of the span distance for external splines with a module of 0:5 to 10 mm, a number of teeth of 10 to 100, a tolerance grade of 4 to 7 and a basic deviation of h are shown in Tables 15 to 28. 5.2.2 When the basic deviation of the external spline is not h, the span distance dimension shall be calculated according to the formula listed in 3.2.2, or the span distance value in the table may be corrected after the difference AM is calculated according to the following formula. AMre= K, esy
Where K is the conversion coefficient, see Tables 15 to 28.
5.3 The measuring rod diameters Dk and Dk listed in Tables 1 to 28 are determined according to 3.1.1 and 3.2.1. If necessary, make a flat surface on the gauge rod to avoid contact with the bottom of the spline. 5.4 When the actual diameter of the measuring rod selected is different from the diameter listed in the standard, the maximum value Mrimax and minimum value MRimin of the internal spline rod spacing, and the minimum value Mremin and maximum value MRemax of the external spline span rod spacing, shall be calculated according to the actual measuring rod diameter. 6 Limit value of the average length W of the normal line
6.1 The limit value of the average length W of the normal line of the external spline with a module of 0.5 to 10 mm, a number of teeth of 10 to 100, a tolerance grade of 4 to 7, and a basic deviation of h, is shown in Tables 29 to 42.
6.2 When the basic deviation of the tooth thickness of the external spline is not h, the difference △W of the average length of the normal line is calculated according to the following formula. AW - esv · cos37.5° - 0. 793 · esv325
37.5° internal spline
.6.161
GB/T3478.7--1995
Table 1 Rod spacing MR
Module m=0.5
5 Minimum value of effective tooth width
Evmin=0.785
Rod spacing MR for testing Eran and Em
14-570
.13.602
GB/T 3478.7--1995
ContinuedTable 1
Rod spacing M for testing Emin and Emax ri5H
3478.7—1995
Rod spacing MR
Module m=0.75
37.5° internal spline
Minimum effective tooth width Evmin=1.178
Rod spacing Mk for testing Emin and Em
11-445
36-081
14-488
GB/T 3478.7--1995
Continued Table 2
Rod spacing MrR for testing Eain and Ex
41-438
GB/T3478.7—1995
Table 3 Rod spacing M
37.5° internal spline
Module m=l
Minimum value of effective tooth space width
Evmin=1.571
Rod spacing MR for testing Emin and Ema
11-610
28-430
32, 439
38-526
Tip: This standard content only shows part of the intercepted content of the complete standard. If you need the complete standard, please go to the top to download the complete standard document for free.
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