GB/T 3478.8-1995 Cylindrical spur involute spline 45° pressure angle M value and W value GB/T3478.8-1995 standard download decompression password: www.bzxz.net

UDC 621.886.6
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
1996-05-01Implemented
State Administration of Technical Supervision
National Standard of the People's Republic of China
Cylindrical spur involute splines
45°pressure angle
Self-M value and W value
Straight cylindrical involute splines45°pressure angle-M and w values1Subject content and scope of application
GB/T 3478. 8-1995
This standard specifies the calculation formula and limit size table for the M value (rod spacing MRi, cross-rod spacing MR) and W value (average length of the external spline common normal) of cylindrical spur involute splines with a pressure angle of 45°. This standard applies to involute splines with a pressure angle of 45° designed and manufactured in accordance with GB/T3478.1 "Basic profile tolerances of cylindrical spur involute splines module 3".
2 Reference standards
GB321 Priority numbers and priority number systems
GB/T3478.1 Basic profile tolerances of cylindrical spur involute splines module GB/T3478.4 Table of dimensions of cylindrical spur involute splines with a pressure angle of 45°
3 Calculation formula for measuring dimensions with measuring rods
Note: It is allowed to use corresponding steel balls instead of measuring rods. 3.1 Calculation formula for measuring rod dimensions when internal spline tooth profile is involute 3.1.1 Determination of measuring rod diameter DR (see Figure 1) Linur.
Approved by the State Administration of Technical Supervision on July 12, 1995 y45*
Implementation on May 1, 1996
Where: D'&-
GB/T 3478.8—1995
D'Ri =- D,Ltanae, — tan(αiCalculated diameter of measuring rod;
+ inv; —inv45°)J
αci-pressure angle at the contact point between the internal spline and the measuring rod, expressed in radians, α=cos diameter at the contact point between the internal spline and the measuring rod,
Decmax+Dimin
Deemax
maximum value of the major diameter of the external spline;
Dinin—minimum value of the minor diameter of the internal spline;
maximum value of the actual tooth width, taken according to the tolerance grade of 7; invα,tanαi—α,;
inv45°-0.214 601 8.
diameter of the measuring rod DR is selected according to R40 in GB321. If D'Ri is not a value in the R40 series, the value closest to DR with a larger value should be selected.
Calculation of 2 rod spacing M (see Figure 2)
(cut)
Even number teeth:
Odd number teeth:
Where: MRimax
Mrimax
MRimax
MRimin
The maximum value of the internal spline rod spacing;
cosaimax
cosaimin
cosaimnx
cosaimir||t t||（朝）\
Mkimin
GB/T3478.8--1995
Minimum value of internal spline rod spacing;
When E is Emax, the pressure angle on the center circle of the internal spline measuring rod; E+inv45°
invaimax
When E is Emin, the pressure angle on the center circle of the internal spline measuring rod; E+inv45°
invainin
Diameter of internal spline measuring rod.
3.2 Calculation formula for measuring rod size when the internal spline tooth profile is a straight line 3.2.1 Determination of measuring rod diameter D (see Figure 3) Figure 3
D'r = D[sin45°— cos45°· tan(45°3.2.2 Calculation of rod spacing Mk (see Figure 4) Ema
· (6)
Even number of teeth:
Odd number of teeth:
MRimin
Where: β—tooth groove angle, β=90°—
GB/T 3478.8—1995
D·sinl B
D·sin
3.3 Calculation formula for measuring dimensions of external spline gauge rod 3.3.1 Determination of gauge rod diameter D (see Figure 5) 414
·（９9）
（10)
Where: α-
GB/T3478.8--1995
D'R = D,Etan(αce + invαce +Smin
inv45）—tana
Pressure angle at the contact point between the external spline and the gauge rod, expressed in radians, αcecosD'. Diameter at the contact point between the external spline and the gauge rod; Deemax +Dimin
Minimum actual tooth thickness, calculated according to tolerance grade 7 and basic deviation h in the table; invα. -tanace --
The rod diameter DRe is selected according to R40 in GB321. If D is not a value in the R40 series, the value closest to DR should be selected. 3.3.2 Calculation of cross-rod distance MR (see Figure 6) 415
Even number of teeth:
Odd number of teeth:
Where: Mkemin
MRemx
αemin
（this you）
GB/T 3478.8—1995
MRemaz
Mremin
MRemay
The minimum value of the span of the external spline;
The maximum value of the span of the external spline;
cosaemin
cosaema
COSaemin
cosαemaz
When S is Smin, the pressure angle on the center circle of the external spline measuring rod; Dr+inv45°+
invaemin
When S is Smx, the pressure angle on the center circle of the external spline measuring rod; Dkc+inv45°+
invaemax
-The diameter of the measuring rod for the external spline.
4 Calculation of the average length W of the external spline common normal (see Figure 7) M:
Wmin -cos45°[(K --- 0. 5)xm + D . inv45° + esvWmax -Wmin +T.cos45° =- Wmin + 0. 707T In the formula: Wmn-
minimum value of the average length of the common normal line;
Wmax——maximum value of the average length of the common normal line; — number of teeth across, K=0.25Z+0.5 (take the integer); K
—total tolerance;
（12）
（13）
（14）
（15）
（16）
·(17)
T—machining tolerance;
upper deviation of effective tooth thickness.
5 Measuring dimensions of measuring rods
GB/T3478.8—1995
$45\C0. 5 yuanm + D.inv5°+ esi -(T + ^)Figure 7
5.1 Measuring dimensions of measuring rods for internal spline tooth profile as involute: for internal spline with module of 0.5 to 2.5 mm, number of teeth of 10 to 100, tolerance grade of 4 to 7 and basic deviation of H, the measuring rod diameter Dkt, the maximum value MRinx and the minimum value Mimin of the rod spacing are shown in Tables 1 to 9. 5.2 For the measuring rod diameter DRi, the maximum value Mrumax and the minimum value Mrimin of the rod spacing for internal spline tooth profile as straight line, see Tables 10 to 18. bZxz.net
5.3 The measuring rod dimensions of external splines are as follows: 5.3.1 The measuring rod diameter DRe, the minimum value MRemin and the maximum value MRemar of the measuring rod for external splines with a module of 0.5 to 2.5 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 19 to 27. 5.3.2 When the basic deviation of the external spline is not h, the span dimension shall be in accordance with 3.3.2, or the difference △AMk can be calculated according to the following formula, and the span distance value in the table can be corrected. AMRe = K, - esv
Where: K. - external spline transformation coefficient;
·( 18 )
5.4 The diameters D and DR of the measuring rods listed in Tables 1 to 27 are determined according to 3.1.1, 3.2.1 and 3.3.1. If necessary, a flat surface shall be made on the measuring rod to avoid contact with the bottom of the spline. 5.5 When the actual measuring rod diameter 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 distance shall be calculated according to the actual measuring rod diameter. 6 Limit values ​​of the average length W of the normal line
6.1 The limit values ​​of the average length W of the normal line of external splines with a module of 0.5 to 2.5 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 28 to 36.
6.2 When the basic deviation of the tooth thickness of the external spline is not h, its average length of the normal line can be corrected according to the following formula. AW - esy · cos45° = 0. 707 .esv(19）
45° internal spline
GB/T 3478.81995
Table 1 Rod spacing MR
Module m=0.25
Minimum value of effective tooth width Evmin=0.393
Rod spacing Mr for checking Emi and Erx
.9.600
23-686
GB/T 3478.81995
Continued Table 1
For the rod spacing Mre for testing Emin and Emax
, 22.985
45° internal spline
GB/T3478.8--1995
Table 2 Rod spacing MR
Evmin=0.785
Minimum value of effective tooth space width
Module m=0.5
For the rod spacing Mri for testing Eain and Emar
14-246
21-265
23-781
.39.095
45-605
GB/T 3478.81995
Continued Table 2
To test the rod spacing Mr of Emin and Emux
32, 277
29,832
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