EngiRef / Mechanical Engineering Formula
Hooke's Law
Hooke's Law: Linear relationship between stress and strain in elastic region. A Statics formula in mechanical engineering. Variables σ, E and ε, each with SI…
Statics
Specification
- Name
- Hooke's Law
- Discipline
- mechanical
- Category
- Statics
- LaTeX
- \sigma = E \varepsilon
- Description
- Linear relationship between stress and strain in elastic region
- Conditions
- Valid only in elastic region, below yield strength
- Can solve for
- σ, E, ε
- Tags
- hooke, elastic, modulus, youngs
Variables
| Symbol | Name | Unit | Si Unit | Imperial Unit |
|---|---|---|---|---|
| σ | Stress | Pa | Pa | psi |
| E | Young's Modulus | Pa | Pa | psi |
| ε | Strain | - | - | - |
Common questions
- What is the Hooke's Law formula?
- Linear relationship between stress and strain in elastic region. It sits under Statics, Mechanical engineering in the EngiRef reference.
- What do the symbols in the Hooke's Law formula mean?
- In Hooke's Law, σ is stress in Pa; E is young's modulus in Pa; ε is strain.
- When does the Hooke's Law formula apply?
- Hooke's Law holds under this condition: Valid only in elastic region, below yield strength.