Shear Modulus Calculator

Calculate the shear modulus (modulus of rigidity) from elastic modulus and Poisson's ratio for isotropic materials.

GPa

Shear Modulus (G)

76.92 GPa

Bulk Modulus (K)166.67 GPa

Shear Modulus (G) vs Elastic Modulus (E)

Vedi formula →

Formula

## 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.

Esempio Risolto

Steel with E = 200 GPa and nu = 0.3.

  1. 01G = 200 / (2 × (1 + 0.3))
  2. 02G = 200 / 2.6 = 76.92 GPa
  3. 03K = 200 / (3 × (1 - 0.6)) = 200 / 1.2 = 166.67 GPa