Mechanical & Civil Engineering
Spline Shaft Torque Capacity Calculator
Estimate torque capacity and tooth bearing stress for a splined shaft connection.
Your inputs
Change any value to update the result instantly.
Torque capacity
432 N·m
Force per tooth
3,600 N
Tooth bearing stress
40 MPa
Teeth in contact
6
What this calculator does
Spline Shaft Torque Capacity Calculator: Applies the standard mechanics-of-materials relationship for this load case so a student can see how the stress, strain or deflection follows from the geometry and the load.
What your result means
The headline figure tells you how hard the material is being worked, or how much it moves, under the load you entered. Compare it with the allowable value for your material and required factor of safety.
Formula and working
T = n·F·rm; σb = F/(h·L)
- 1
Collect the inputs
Number of teeth in contact = 6; Tooth height = 3 mm; Spline length = 30 mm; Mean radius = 20 mm; Allowable bearing pressure = 40 MPa
- 2
Apply the formula
T = n·F·rm; σb = F/(h·L)
- 3
Result
Torque capacity = 432 N·m
Frequently asked questions
Symbols and assumptions
- n
- Number of teeth in contact
- h
- Tooth height (mm)
- L
- Spline length (mm)
- rm
- Mean radius (mm)
- allowP
- Allowable bearing pressure (MPa)
- • The material is homogeneous, isotropic and loaded within its linear-elastic range.
- • Inputs are entered in a consistent unit system, as labelled on each field.
Sources and review
Reviewed 2026-09-22 · Next review 2027-09-22
- • This is an educational estimate for learning and checking, not a design deliverable.
- • Real design must follow the governing code or standard for your jurisdiction and be reviewed and signed off by a qualified engineer.
- • Safety factors, load combinations and material certification are the responsibility of the designer, not of this page.
Important limitation
This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.
Report a mistake or request an improvement
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