Involute Spline Names, Symbols, and Relations for ANSI Metric Standard

Term

Symbol

Formula

30 deg Flat Root

0.5 to 10 module

30 deg Fillet Root

0.5 to 10 module

37.5 deg Fillet Root

0.5 to 10 module

45 deg Fillet Root

0.5 to 10 module

Pitch diameter

D

mZ

Base diameter

DB

mZ cos α D

Circular Pitch

p

πm

Base Pitch

p b

πm cos α D

Tooth Thick Mod

es

According to selected fit class, H/h, H/f, H/e, or H/d

Min Major Diameter Int

DEI min

m(Z +1.5)

m(Z +1.8)

m(Z +1.4)

m(Z +1.2)

Max Major Diameter Int

DEI max

DEI min + (T + λ)/tan α D

Form Diameter Int

DFI min

m(Z + 1) + 2c F

m(Z + 1) + 2c F

m(Z + 0.9) + 2c F

m(Z + 0.8) + 2c F

Min Minor Diameter Int

DII min

DFE + 2c F

Max Minor Diameter Int

DII max

DII min + (0.2m 0.667 - 0.01m -0.5 )

Circ Space Width

Basic

Min Effective

Max Actual

Min Actual

Max Effective

E bsc

EV min

E max

E min

Ev max

0.5πm

0.5πm

EV min + (T + λ)

EV min+ l

E max - λ

Max Major Diameter Ext d

DEE max

m(Z + 1) - es/tan α D

m(Z + 1) - es/tan α D

m(Z + 0.9) - es/tan α D

m(Z + 0.8) - es/tan α D

Min Minor Diameter xt

DEE min

DEE max - (0.2m 0.667 - 0.01m -0.5 ) 2

Form Diameter External

DFE

     

Max Minor Diameter Ext d

DIE max

m(Z - 1.5) - es/tan α D

m(Z - 1.8) - es/tan α D

m(Z - 1.4) - es/tan α D

m(Z - 1.2) - es/tan α D

Min Minor Diameter Ext

DIE min

DIE min - (T + λ)/tan α D