The ratio of shearing stress to shear strain is known as:

Explanation:

Ratio of Shearing Stress to Shear Strain:

• The ratio of shearing stress to shear strain is known as the modulus of rigidity (also referred to as shear modulus). It is a material property that quantifies the rigidity or stiffness of a material under shear deformation. When a material is subjected to shear stress, it undergoes angular deformation, and the modulus of rigidity determines the relationship between the applied stress and the resulting strain.
• When a material is subjected to shear stress, the forces act parallel to the surface, causing the material to deform angularly. The shear strain is the measure of the angular deformation due to the applied shear stress. The modulus of rigidity quantifies the material's resistance to this deformation. Higher values of modulus of rigidity indicate that the material is more resistant to shear deformation, whereas lower values indicate greater deformability.

Formula:

The modulus of rigidity (G) is mathematically expressed as:

G = τ / γ

Where:

• G = Modulus of rigidity (N/m² or Pa)
• τ = Shearing stress (N/m² or Pa)
• γ = Shear strain (dimensionless)