Hookes Law Strain Stress⚠ unverified
Physics / Materials · Compute axial stress from strain via Hooke's law
Parameters
| Input | Symbol | Unit | Default | Description |
|---|---|---|---|---|
| strain | strain | — | 1.0 | Axial strain, dimensionless |
| youngs_modulus | youngsmodulus | Pa | 1.0 | Young's modulus of the material |
| Output | Symbol | Unit | Description |
|---|---|---|---|
| result | σ | Pa | Resulting normal stress, in pascals (Pa) |
The science & history
Understanding the Parameters
- $\varepsilon$ — small-strain measure $\Delta L/L$.
- $E$ — slope of the stress–strain curve in the elastic region.
- $\sigma$ — only valid while the material remains elastic.
Derivation (Approaching a Proof)
Definition of Young’s modulus $E = \sigma/\varepsilon$ for uniaxial tension/compression in the linear range ⇒ $\sigma = E\varepsilon$.
History
Same Hooke/Young lineage as the strain form; this is the stress-design rearrangement.
Related Concepts: Hooke's Law strain, Poissons Ratio, Strain Energy Density
Notes: Registry calculator hookes-law-strain-stress (unverified). Uniaxial linear elastic only.