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Rules &
Formulas

INVOLUTE SPLINES AND SERRATIONS
30° PA

To Get Having Rule Formula
Diametral Pitch Outer diameter and number of teeth Divide number of teeth plus 1 by the outer diameter Pd=N+1/Do
Pitch diameter Outer diameter and number of teeth Divide the product of outer diameter and number of teeth by number of teeth plus 1 D=NDo/N+1
Outer diameter Diametral pitch and number of teeth Divide the number of teeth plus 1 by the quotient of number of teeth divided by pitch diameter Do=N+1/(N/d)
Diametral pitch Internal diameter and number of teeth Divide number of teeth minus 1 by the internal diameter Pd=N-1/D
Internal diameter Diametral pitch and number Divide number of teeth minus 1 by  Di=N-1/Pd

STANDARD SAE
PARALLEL KEY SPLINE

NO. of Keys Space Width Internal A Fit
Permanent Fit
B Fit To Slide
Not Under Load
C Fit To Slide
Under Load
Nominal Major Diameter
WD Minor WD Minor WD Minor
4
6
10
16
0.241D
0.250D
0.156D
0.098D
0.075D
0.050D
0.045D
0.045D
0.850D
0.900D
0.910D
0.910D
0.125D
0.075D
0.070D
0.070D
0.750D
0.850D
0.860D
0.860D
 
0.100D
0.095D
0.095D
 
0.800D
0.810D
0.810D
To 3"
To 3"
To 6"
To 6"

POINT WIDTH CONVERSION FOR
STRAIGHT SIDED SPLINE

EXAMPLE
N= # of Keys 
B=180°/N
SIN A= KW/RD
C= B-A  
PW= RD X SIN “C” 
N=6    
KW= .371
RD= 1.271
B= 180/6= 30°
SIN “A”= .2919
A= 16.97151°
C= 13.02849
SIN “C”= .22543
W= 1.271•.22543
PW= .2865
 

←   Return To Index Reprinted from Ash Gear & Supply

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