English MetricNumber of Teeth 25 25Pitch 24/48Pressure Angle 45 45Length (Lg) 1 25.4internal part runout (Coi) 0.0005 0.0127external part runout (Coe) 0.001 0.0254Tolerance Class 5 5Fit Class hSpline Type external Fillet RootSpline Type internal Fillet Root

Standard ClassInternal Involute spline data English

Number of Teeth 25Diametral pitch 24Pressure angle 45Base diameter 0.7366Pitch diameter 1.0417Major diameter (Max)Major diameter (Min)Form diameter 1.0917Minor diameter (max) 1.0210Minor diameter (min) 1.0167Circular space width

Min effective 0.0737832Max effectiveMax actual 0.0764582Min actual

Max measurement between two pins 0.941969Pin diameter 0.072

EnglishEffective fit 0Nominal fit 0

5Metric External Involute spline data English Metric

25 Number of Teeth 25 251.0583 Diametral pitch 24 1.0583

45 Pressure angle 45 4518.7089 Base diameter 0.7366 18.708926.4583 Pitch diameter 1.0417 26.4583

Major diameter (Max) 1.0833 27.5167Major diameter (Min) 1.0790 27.4069

27.7283 Form diameter 1.0083 25.611725.9331 Minor diameter (max)25.8233 Minor diameter (min)

Circular tooth thickness1.8741 Max effective 0.0737832 1.8741

Min effective1.9420 Min actual 0.0711082 1.8061

Max actual23.9260 Min measurement between two pins 1.1716308 29.7594

1.8288 Pin diameter 0.08 2.0320

English Metric0 0 0

0.00535 0 0.13589

Number of Teeth 25Pitch 24/48Pressure Angle 45Length (Lg) 1internal part runout (Coi) 0.0005external part runout (Coe) 0.001Tolerance Class 5Fit Class hSpline Type external Fillet RootSpline Type internal Fillet Root

Pitch λ m pitch2.5/5 28.75 18.5 2.53/6 28.75 18.5 34/8 23.75 16.75 45/10 23.75 16.75 56/12 20 14.75 68/16 20 14.75 810/20 18.25 13.5 1012/24 18.25 13.5 1216/32 16 12.75 1620/40 16 12.75 2024/48 14 12.75 2448/96 14 12.75 4864/128 12.5 10.5 6480/160 12.5 10.5 80128/256 11 10.25 128

Pitch 24 Pitch4 Max allowable lead variation

Ffp 2.8125 Max allowable positive profile variationFfm -4.71 Max allowable negative profile variationλ 14 variation allowanceFp 13.71 Total index variationm 12.75 machining variationTdee 43.22168 major diameter tolerance, side fitTdii 43.22168 minor diameter tolerance, internal splinesrfe 0.010417 Minimum fillet radius, fillet root splinesrfi 0.010417 Minimum fillet radius, fillet root splinesCf 0.004167 Form clearancees 0 minimum effective clearance 0.004243D 1.041667 Pitch DiameterDb 0.73657 Base DiameterDrl major diameter tolerance, side fit

0.002675 change in root diameter for total toleranceDfi 1.091667 Form Diameter, internal side fitDri max 1.106842 Major diameter of internal splines

Fβ

∆Dri

Di min 1.016667 Minimum Minor diameter internal splinesDi max 1.020989 Maximum Minor diameter internal splinesf 1 Tolerance class multiliperSv min 0.073783 minimum effective space width

Maximum effective space widthS max 0.076458 Maximum actual space width

Minimum actual space widthTv max 0.073783 Maximum Effective tooth thickness

Minimum effective tooth thicknessT min 0.071108 Minimum actual tooth thickness

Maximum actual tooth thicknessDo max 1.083333 Maximum Major diameter external splinesDo min 1.079011 Minimum Major diameter external splinesD fe 1.008333 Form Diameter of external splinesD re 0.993158 Minor Diameter of external splines

0.002675 change in root diameter for total tolerance

dimension between two pins for maximum actual space width0.214602 inverse of pressure angle

di 0.072 pin diameter0.190251

φi 43.53209Mi 0.941969

dimension over two pins for minimum actual tooth thickness0.214602 inverse of pressure angle

de 0.08 pin diameter0.265814

φe 47.66913Me 1.171631

∆Dre

inv φd

inv φi

inv φd

inv φe

Tolerance Class 1284 0.77 731.90665 16 1.47 2

2.5 3 4 5 6 8 10 12 16 20 24 48 64 80 128

0

5

10

15

20

25

30

35

f(x) = 0.0599345507433742 x² − 2.1919885261797 x + 31.0813186813187R² = 0.976501852099622

Lamda

Calculating lamda

Polynomial (Calculating lamda)

Pitch

La

md

a

2.5 3 4 5 6 8 10 12 16 20 24 48 64 80 128

0

5

10

15

20

25

30

35

f(x) = 0.0599345507433742 x² − 2.1919885261797 x + 31.0813186813187R² = 0.976501852099622

Lamda

Calculating lamda

Polynomial (Calculating lamda)

Pitch

La

md

a

Pitch tolerace c Fit Class spline typ pressure angle2.5/5 4 d Flat root 303/6 5 e Fillet Root 37.54/8 6 f 455/10 7 h6/128/1610/2012/2416/3220/4024/4848/9664/12880/160128/256

n x f(x) f'(x) x-f(x)/f'(x) n x1 0.4 -0.167458 0.178754 1.336807 1 0.52 1.336807 2.668352 17.60146 1.185208 2 1.2355133 1.185208 1.08816 6.069424 1.005923 3 1.0693494 1.005923 0.381711 2.489721 0.852608 4 0.9223895 0.852608 0.101479 1.309509 0.775114 5 0.8468436 0.775114 0.014275 0.959696 0.760239 6 0.8324197 0.760239 0.000417 0.904225 0.759779 7 0.8319848 0.759779 3.84E-07 0.902558 0.759778 8 0.8319839 0.759778 3.27E-13 0.902556 0.759778 9 0.831983

10 0.759778 0 0.902556 0.759778 10 0.831983

f(x) f'(x) x-f(x)/f'(x)-0.219511 0.298446 1.2355131.368614 8.23656 1.0693490.489046 3.327737 0.922389

0.13159 1.741853 0.8468430.018454 1.279409 0.8324190.000526 1.207269 0.8319844.59E-07 1.20516 0.8319833.52E-13 1.205158 0.831983

0 1.205158 0.8319830 1.205158 0.831983