Splines Design of the Friction Clutch Disc

Given:

            D= 25 mm,   d= 22 mm,  nsp = 24 spline, Tc = 240 N m, SF = 10

Required:
            r
m =    ?    mm,  h =   ?     mm,  b=    ?    mm,  F =  ?  N

Solution:

            rm = (D+d)/4            =

h = (D-d)/2 =

            b = p D/(2 nsp) =

            F= Tc*1000/rm =


A- Require: Steel No.

Given:

Tc = 240  N m, L= 25 mm

Stress:

ts

sbearing

sb

Allowable stress

=F/(nsp As)

=F/(nsp b L)

 

 

 

 

 

 

 

 

=F/(nsp Abearing)

=F/(nsp h L)

=M y /I
=(F h/2( b/2))/(n
sp L b3/12) =3 F h/(nsp L b2)

Ultimate stress

 

 

 

 

 

 

Steel

 

 

 

 

 

 

B- Required: Clutch torque Capacity (Tc)

Given:

Steel = EN3,       L=25 mm

Ultimate Stress:

ts =

sbearing =

sb =

 

Allowable Stress

(ts)all  =

 

(sbearing)all =

(st)all  =

Force (F)

F=(ts)all nsp b L

 

 

F=(sbearing)all nsp h L

F=( (st)all  nsp L b2) / (3h)

Torque Capacity (Tc)

Tc =F rm /1000

 

 

 

 

 

Tc =F rm /1000

 

Tc =F rm /1000

 

 

 

 

Tc (N m)

 

 

 

 

C- Required: Splines length (L)

Given:

Steel = EN3, Tc=200 +(student No.- 1) x 3 =                     =       N m

Ultimate Stress:

ts

sbearing

sb

 

Allowable Stress

(ts)all  =

 

 

(sbearing)all =

(st)all  =

Spline force  (F)

 

F = Tc x 1000 / rm =

Splines Length (L)

L=F/(nsp b (ts)all )

 

 

 

 

 

 

 

L=F/(nsp h (sbearing)all)

L=3 F h/(nsp b2 (st)all)

 

 

 

 

 

 

 

L (mm)