Free Shear Modulus Calculator
Calculate the shear modulus (modulus of rigidity) from elastic modulus and Poisson's ratio for isotropic materials.
Shear Modulus (G)
76.92 GPa
Shear Modulus (G) vs Elastic Modulus (E)
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.
Example Calculation
Steel with E = 200 GPa and nu = 0.3.
- 01G = 200 / (2 × (1 + 0.3))
- 02G = 200 / 2.6 = 76.92 GPa
- 03K = 200 / (3 × (1 - 0.6)) = 200 / 1.2 = 166.67 GPa
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