EveryCalc
Keyed Shaft Connection
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Shaft & Key
Shaft Diam. D
Key Standard
Key Size
Key Width w
Key Height h
Shaft Seat Depth t1 Keyseat depth in the shaft, measured from the shaft's outer diameter. ANSI keys use h/2; DIN values are from DIN 6885.
Hub Seat Depth t2 Keyway depth in the hub, measured from the shaft's outer diameter.
Key Length L
Key Ends
Number of Keys Two keys at 180° share load unevenly due to fit tolerances. Following DIN 6892, they're taken to carry 1.5× one key, not 2×.
Keyseat Type
Keyseat Fillet r Radius at the bottom corners of the shaft keyseat. Blank = 0.02·D (a typical value; Shigley).
Loads
Torque, Mean Tm
Torque, Alternating Ta Amplitude of torque fluctuation. Peak torque Tm + Ta is used for the static key checks.
Bending, Alternating Ma Bending moment at the keyseat. On a rotating shaft, a steady bending load is fully reversed, so enter it here.
Bending, Mean Mm
Target FOS
Materials
Key Material
Key Grade
Key Sy
Shaft Material
Shaft Grade
Shaft Sy
Shaft Su
Shaft Se' Uncorrected endurance limit. Blank = no fatigue check.
Marin Factor k Product ka·kb·kc·kd·ke of the endurance-limit modifiers (surface, size, load, temperature, reliability). Machined steel shafts are typically 0.6–0.8.
Notch Sens. q / qs Bending / torsion notch sensitivity. Blank = computed from the Neuber constant for steels (Shigley eq. 6-35); 1 for other materials.
Hub Material
Hub Grade
Hub Sy

Key shear τ = F/(w·Leff), allowable 0.577·Sy. Bearing σ = F/(contact height·Leff), allowable Sy of the weaker part; contact height is t1 on the shaft side and h − t1 on the hub side. F = 2T/D at the shaft surface. Shaft: nominal stresses on full D, von Mises with Kf, modified Goodman (Shigley ch. 7). Keyseat Kt: Roark Table 6-1 (end-milled, bending), Shigley Table 7-1 (Kts = 3.0; sled-runner Kt = 1.7).
Key
Force at Shaft Surface F
Force per Key
Effective Length Leff
Key Shear Stress τ
FOS, Key Shear
Bearing, Shaft Side
FOS, Bearing Shaft Side
Bearing, Hub Side
FOS, Bearing Hub Side
Min. Key Length for Target FOS Shortest key whose shear and bearing checks all meet the target FOS. Doesn't include the shaft checks, which don't depend on key length.
Shaft at Keyseat
Fillet Radius Used r
Kt / Kts
q / qs
Kf / Kfs
von Mises σ'a
von Mises σ'm
FOS, Fatigue (Goodman)
FOS, First-Cycle Yield Sy / (σ'a + σ'm), using Kf (Shigley eq. 7-16).
Overall
Minimum FOS
Governed By