Shear Modulus Calculator — Formule
## Shear Modulus (Modulus of Rigidity)
The shear modulus G measures a material's resistance to shear deformation. For isotropic materials, it is directly related to the elastic modulus and Poisson's ratio.
### Formula
**G = E / (2(1 + nu))**
This relationship means only two independent elastic constants are needed to fully describe an isotropic material. The bulk modulus K = E / (3(1 - 2*nu)) is also computed for completeness.
The shear modulus G measures a material's resistance to shear deformation. For isotropic materials, it is directly related to the elastic modulus and Poisson's ratio.
### Formula
**G = E / (2(1 + nu))**
This relationship means only two independent elastic constants are needed to fully describe an isotropic material. The bulk modulus K = E / (3(1 - 2*nu)) is also computed for completeness.
Exemple Résolu
Steel with E = 200 GPa and nu = 0.3.
- G = 200 / (2 × (1 + 0.3))
- G = 200 / 2.6 = 76.92 GPa
- K = 200 / (3 × (1 - 0.6)) = 200 / 1.2 = 166.67 GPa