Examples
Examples
Try the starting example
- Torque (N mm)
- 100000
- Shaft length (mm)
- 1000
- Shear modulus (MPa)
- 80000
- Outer diameter (mm)
- 40
- Inner diameter (mm)
- 20
- Polar second moment (mm⁴)
- 235,619.449019
- Twist angle (radians)
- 0.005305
- Maximum shear stress (MPa)
- 8.488264
Try another scenario
- Torque (N mm)
- 100001
- Shaft length (mm)
- 1000
- Shear modulus (MPa)
- 80000
- Outer diameter (mm)
- 40
- Inner diameter (mm)
- 20
- Polar second moment (mm⁴)
- 235,619.449019
- Twist angle (radians)
- 0.005305
- Maximum shear stress (MPa)
- 8.488349
Calculation method
Calculation method
Polar second moment (mm⁴)
Uniform circular annulus: J=π(Do⁴−Di⁴)/32; twist=TL/GJ; outer shear=Tro/J.
Twist angle (radians)
Uniform circular annulus: J=π(Do⁴−Di⁴)/32; twist=TL/GJ; outer shear=Tro/J.
Maximum shear stress (MPa)
Uniform circular annulus: J=π(Do⁴−Di⁴)/32; twist=TL/GJ; outer shear=Tro/J.
Symbols and units
- a
- Torque (N mm)
- b
- Shaft length (mm)
- c
- Shear modulus (MPa)
- d
- Outer diameter (mm)
- e
- Inner diameter (mm)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- User-supplied measurements and assumptions; Uniform circular annulus: J=π(Do⁴−Di⁴)/32; twist=TL/GJ; outer shear=Tro/J. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.