Elastic Modulus Calculator
Calculate Young's modulus (elastic modulus) from stress and strain values measured in the linear elastic region.
Module d'élasticité (E)
200.00 GPa
Elastic Modulus (E) vs Stress (sigma)
Formule
## Young's Modulus (Elastic Modulus) Young's modulus E is the slope of the linear portion of the stress-strain curve. It measures a material's stiffness, or resistance to elastic deformation. ### Formula **E = sigma / epsilon** where sigma is the axial stress and epsilon is the axial strain (both in the elastic region). E is an intrinsic material property independent of geometry.
Exemple Résolu
A steel specimen shows 200 MPa stress at 0.001 strain (0.1%) in the elastic region.
- 01E = 200 MPa / 0.001
- 02E = 200,000 MPa = 200 GPa
- 03This is consistent with structural steel (E ≈ 200 GPa)
Questions Fréquentes
What are typical elastic modulus values?
Steel: ~200 GPa, aluminum: ~70 GPa, copper: ~120 GPa, titanium: ~110 GPa, concrete: ~30 GPa, wood (along grain): ~10-15 GPa, rubber: ~0.01-0.1 GPa.
Does temperature affect the elastic modulus?
Yes. Elastic modulus generally decreases with increasing temperature. For steel, E drops about 5% per 100°C. At very high temperatures (near melting), the reduction is much more significant.
What is the relationship between E, G, and Poisson's ratio?
For isotropic materials: G = E / (2(1 + nu)), where G is shear modulus and nu is Poisson's ratio. This means knowing any two of these three properties determines the third.
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