KEVOS® MAKEOS · Fasteners
Pinned Hub Drive Check (Cross Pin Size, Pin Shear, Shaft Bearing and Torsion)
For a hub or collar driven by a pin through the shaft, is the pin big enough, and do the bearing pressure and the weakened shaft stay within limits?
Check of a hub, collar or lever driven through a cross (taper or straight) pin: the torque from torque or power and speed, the pin diameter needed and the pin shear stress in double shear (as the taper pin torque tool), the bearing pressure of the pin on the shaft bore, the torsional stress in the shaft raised by the cross-hole stress concentration, and the pin-to-shaft size ratio, against your allowable stresses.
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How this tool works
Inputs, units and where to find them
| Input | Unit | Typical source |
|---|---|---|
| Load given as | choice | Whether the load is entered as a torque or as power and speed. |
| Torque | N·m | Torque through the pin. |
| Power | kW | Power through the pin. |
| Speed | rpm | Shaft speed (power mode). |
| Shaft diameter | mm | Diameter of the shaft where the pin passes through. |
| Pin mean diameter | mm | Mean diameter of the pin in the shaft. |
| Allowables | ||
| Safe shear stress of the pin | MPa | Safe shear stress for the pin material and duty. |
| Allowable bearing pressure on the shaft | MPa | Allowable bearing pressure of the pin on the shaft material. |
| Stress concentration at the cross hole | Torsional stress concentration factor for a transverse hole in a shaft. | |
| Allowable shaft shear stress | MPa | Allowable torsional shear stress in the shaft. |
| Largest pin ÷ shaft diameter | Largest pin diameter as a share of the shaft diameter you will accept. | |
Method and formulas
- Torque from T or 9549 P ÷ n; pin needed d = 1.13 √(T ÷ (D S)); pin shear τ = 4T ÷ (π d² D) (as the taper pin torque tool).
- Bearing pressure of the pin on the shaft = 6T ÷ (d D²).
- Shaft stress = K_t × 16T ÷ (π D³).
- Example: a 5.65 mm pin is the least; the 8 mm pin runs at 39.789 MPa shear and the shaft at 22.635 MPa.
Limitations
- Steady torque; reversing or shock loads loosen pins and need lower allowables.
- Shaft net-section effect is in the stress concentration factor you enter.
- Example values are illustrations. Replace them with values for your actual task.
Typical uses
- Size the pin for a pinned collar or gear
- Check a pinned handwheel or lever
- See whether the cross hole weakens the shaft too much
Who it is for
- Design engineers
- Maintenance engineers
- Machinists
What you get
- Torque and pin size needed
- Pin shear and bearing pressure
- Shaft stress at the cross hole
Interpreting the result
- A pin that shears before the shaft yields acts as a shear pin; a pin over about a third of the shaft size weakens the shaft too much.
References
- Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 220, 1714–1720. Topic reference; no source tables or recommended settings are reproduced.
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Open the Pinned Hub Drive Check (Cross Pin Size, Pin Shear, Shaft Bearing and Torsion) calculator
