EngiRef / Mechanical Engineering Formula
Torsional Shear Stress
Torsional Shear Stress: Shear stress in a shaft due to torsion. A Statics formula in mechanical engineering. Variables τ, T, r and J, each with SI and imperial…
Statics
Specification
- Name
- Torsional Shear Stress
- Discipline
- mechanical
- Category
- Statics
- LaTeX
- \tau = \frac{Tr}{J}
- Description
- Shear stress in a shaft due to torsion
- Conditions
- Circular cross-section, elastic range, small deformations
- Can solve for
- τ, T, r, J
- Tags
- torsion, shear, shaft, stress
Variables
| Symbol | Name | Unit | Si Unit | Imperial Unit |
|---|---|---|---|---|
| τ | Shear Stress | Pa | Pa | psi |
| T | Torque | N·m | N·m | ft·lbf |
| r | Radial Distance | m | m | in |
| J | Polar Moment of Inertia | m⁴ | m⁴ | in⁴ |
Common questions
- What is the Torsional Shear Stress formula?
- Shear stress in a shaft due to torsion. It sits under Statics, Mechanical engineering in the EngiRef reference.
- What do the symbols in the Torsional Shear Stress formula mean?
- In Torsional Shear Stress, τ is shear stress in Pa; T is torque in N·m; r is radial distance in m; J is polar moment of inertia in m⁴.
- When does the Torsional Shear Stress formula apply?
- Torsional Shear Stress holds under this condition: Circular cross-section, elastic range, small deformations.