Machinery's Handbook, 31st Edition
2346
Involute Splines
10 9 8 7 6 5 4 3 2 1
0 1 2
3 4 5 6 7 8
Maximum Effective Length L e , inches
Fig. 4. Maximum Effective Length for Fixed and Flexible Splines In the formulas that follow the symbols used are as defined on page 2335 with the follow ing additions: D h = inside diameter of hollow shaft, inches; K a = application factor from Table 7; K m = load distribution factor from Table 8; K f = fatigue life factor from Table 9; K w = wear life factor from Table 10; L e = maximum effective length from Fig. 4, to be used in stress formulas even though the actual length may be greater; T = transmitted torque, pound-inches. For fixed splines without helix modification, the effective length L e should never exceed 5000 D 3.5 ÷ T . Table 7. Spline Application Factors, K a
Type of Load
Light Shock
Intermittent Shock (Actuating Pumps, etc.)
Heavy Shock (Punches, Shears, etc.)
Uniform (Generator, Fan)
(Oscillating Pumps, etc.)
Application Factor, K a
Power Source
Uniform (Turbine, Motor) Light Shock (Hydraulic Motor) Medium Shock (Internal Combustion Engine)
1.0 1.2 2.0
1.2 1.3 2.2
1.5 1.8 2.4
1.8 2.1
2.8 Table 8. Load Distribution Factors, K m , for Misalignment of Flexible Splines
Load Distribution Factor, K m a
Misalignment, inches per inch
1 ∕ 2 -in. Face Width 1-in. Face Width
2-in. Face Width
4-in. Face Width
0.001 0.002 0.004 0.008
1 1 1
1 1
1
1 1 ∕ 2
2
1 1 ∕ 2
2
2 1 ∕ 2
1 1 ∕ 2
2
3
1 1 ∕ 2
2 1 ∕ 2
a For fixed splines, K
m = 1.
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