FieldengMechanical & Motion
Shaft Torsional Stress
Nominal elastic torsional shear in a solid circular shaft.
Mechanical & Motion
Nominal elastic torsional shear in a solid circular shaft.
App id: MECH-10. Reference version 1.0.
How to fill it
Fill the inputs. The tool shows the outputs.
On the tool screen, Calc is the working sheet. Presets stores values you reuse. Reference is the formula, assumptions, and provenance below.
Formula
τ = 16T / (πd³), J = πd⁴ / 32Inputs
| Name | Unit |
|---|---|
| Torque | N-m |
| Shaft diameter | mm |
| Allowable shear stress (optional) | MPa |
Outputs
| Name | Unit |
|---|---|
| Torsional stress (hero result) | MPa |
| Polar moment J | m4 |
Diagnose
Observations are context. They do not pass or fail a structure. See Diagnose.
| When | Observation | Severity |
|---|---|---|
allowable = undefined or not allowable > 0 or not Number.is finite(stress) | Nominal torsional stress | info |
stress > allowable | Torsional stress above supplied allowable | warning |
stress ≤ allowable | Torsional stress below supplied allowable | info |
Assumptions
- Uniform solid diameter. No keyway, spline, fatigue, or combined loading.
- Optional allowable must come from the design basis — none is built in.
Provenance
- Elastic torsion of a solid circular bar. Nominal stress only.