Relation between Modulus of Elasticity and Modulus of Rigidity
The Modulus of rigidity (G) and the Modulus of elasticity (E) are related through the materialâs Poissonâs ratio (v). The relationship can be expressed as:
E = 2G(1+ν)
Where,
- E is Youngâs Modulus
- G is Shear Modulus
- v is Poissonâs Ratio
This equation shows that the Modulus of elasticity is related to the Modulus of rigidity and the Poissonâs ratio.
- It indicates that these elastic constants are interrelated and can be derived from each other.
- The Poissonâs ratio is a measure of the transverse strain to longitudinal strain and is typically denoted by the symbol ν.
- 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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