Parallel Spline Calculation Formulas in English Units

Transferred torque

where:

 

P

transferred power [lb ft]

 

n

speed [min -1 ]

Pressure on groove supporting surface

1. shaft inside diameter d h > 0

a)

b) if d min d h -> d min = 1.1 d h [mm]

c) if d min 1.5 d h -> d min = 1.5 d h [mm]

2. shaft inside diameter d h = 0

where:

 

d min

minimal shaft diameter [in]

 

d h

shaft inside diameter [inm]

 

T

torque [lbft]

 

K a

application factor

 

K f

fatigue-life factor

 

S v

desired safety

 

τ Al

Allowable Shear Stress

Minimum splines length to transfer the torque

1. Fixed connection:

2. Flexible connection:

where:

 
 

T

torque [lbft]

 

K a

application factor

 

K f

wear-life factor

 

K w

application factor

 

K m

load distribution factor

 

S v

desired safety

 

d s

middle diameter = (D + d) / 2 [in]

 

D

outside diameter of groove section [in]

 

d

inside diameter of groove section [in]

 

N

number of grooves [-]

 

h

height of groove = (D - d) / 2 [in]

 

s

chamfer

 

h st

connection height h st = h - 2 s [inm]

 

p Dmin

allowable pressure on supporting surface of shaft or groove [psi]

Allowable pressure

1. Fixed connection:

2. Flexible connection:

where:

 
 

T

torque [lb ft]

 

K a

application factor

 

K f

wear-life factor

 

K w

application factor

 

K m

load distribution factor

 

S v

desired safety

 

d s

middle diameter = (D + d) / 2 [in]

 

D

outside diameter of groove section [in]

 

d

inside diameter of groove section [in]

 

N

number of grooves [-]

 

h

height of groove = (D - d) / 2 [in]

 

s

chamfer

 

h st

connection height h st = h - 2 s [in]

 

l f

active key length [in]

Strength Check

p min p ds

p min p dh

where:

 

p min

minimal calculated h/2 pressure [psi]

 

p ds

allowable pressure in shaft [psi]

 

p dh

allowable pressure in hub [psi]