EngiRef / Mechanical Engineering Formula
Angle of Twist
Angle of Twist: Angular deflection of shaft under torsion. A Statics formula in mechanical engineering. Variables φ, T, L, G and J, each with SI and imperial…
Statics
Specification
- Name
- Angle of Twist
- Discipline
- mechanical
- Category
- Statics
- LaTeX
- \phi = \frac{TL}{GJ}
- Description
- Angular deflection of shaft under torsion
- Conditions
- Uniform shaft, constant torque along length
- Can solve for
- φ, T, L, G, J
- Tags
- torsion, twist, shaft, angle
Variables
| Symbol | Name | Unit | Si Unit | Imperial Unit |
|---|---|---|---|---|
| φ | Angle of Twist | rad | rad | rad |
| T | Torque | N·m | N·m | ft·lbf |
| L | Length | m | m | ft |
| G | Shear Modulus | Pa | Pa | psi |
| J | Polar Moment of Inertia | m⁴ | m⁴ | in⁴ |
Common questions
- What is the Angle of Twist formula?
- Angular deflection of shaft under torsion. It sits under Statics, Mechanical engineering in the EngiRef reference.
- What do the symbols in the Angle of Twist formula mean?
- In Angle of Twist, φ is angle of twist in rad; T is torque in N·m; L is length in m; G is shear modulus in Pa; J is polar moment of inertia in m⁴.
- When does the Angle of Twist formula apply?
- Angle of Twist holds under this condition: Uniform shaft, constant torque along length.