Relation between Bulk Modulus and Modulus of Rigidity
The Modulus of Rigidity (G) and Bulk Modulus (K) are related through the materialâs Poissonâs ratio (v). The relationship can be expressed as:
G = 3K(1 â 2v)/2(1 + v)
where,
- G is the Shear Modulus
- K is the Bulk Modulus
- v is the Poissonâs Ratio
This equation shows that the Modulus of rigidity and Bulk Modulus are related through the Poissonâs ratio and some constants. This relationship holds for linear, homogeneous, and isotropic materials.
Modulus of Rigidity
Modulus of rigidity also known as shear modulus, is used to measure the rigidity of a given body. It is the ratio of shear stress to shear strain and is denoted by G or sometimes by S or Îź. The modulus of rigidity of a material is directly proportional to its elastic modulus which depends on the materialâs nature and properties.
In this article, we will talk about what Modulus of rigidity is, its formula, examples, and applications.
Table of Content
- What is the Modulus of Rigidity (Shear Modulus)?
- Modulus of Rigidity Formula
- Characteristics of Modulus of Rigidity
- Examples of Modulus of Rigidity
- Relation between Modulus of Elasticity and Modulus of Rigidity
- Modulus of Rigidity vs Modulus of Elasticity
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