Definition

1. Noun:
   • A measure of a material's resistance to shear deformation: The modulus of rigidity is a specific material property that quantifies how much a material will deform when subjected to a shearing force. It is defined as the ratio of shear stress to shear strain within the material's elastic limit.

Usage

• The modulus of rigidity is a fundamental property in engineering and materials science, used to calculate the deformation of materials under shear loads.
• It is a constant for a given material under specific conditions (e.g., temperature) and is crucial for designing components that experience twisting or sliding forces.

Examples

• Noun:
  • Steel has a high modulus of rigidity, making it suitable for structural beams that must resist twisting.
  • To calculate the angle of twist in the shaft, you need to know the material's modulus of rigidity.
  • The experiment measured the modulus of rigidity for the new polymer composite.

Advanced Usage

• "Shear modulus": This is the most common synonym for modulus of rigidity. The terms are used interchangeably in technical contexts.
  • The shear modulus (G) is a critical parameter in torsion problems.

Variants and Related Words

• Shear modulus (G): The preferred term in many physics and engineering texts, synonymous with modulus of rigidity.
• Torsion modulus: Another less common synonym, emphasizing resistance to twisting forces.
• Elastic modulus: A broader category of material constants that includes the modulus of rigidity (shear modulus), Young's modulus (for tension/compression), and bulk modulus (for volume change).

Synonyms

• Shear modulus: The coefficient of elasticity for shear stress.
• Torsion modulus: Emphasizes the material's response to torsional (twisting) loads.

Related Concepts

• Shear stress: The force per unit area causing the shear deformation.
• Shear strain: The measure of deformation (angular distortion) caused by shear stress.
• Young's modulus: The modulus of elasticity for tensile or compressive stress, different from the modulus of rigidity.

Noun

1. the coefficient of elasticity for a shearing force