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] |