Characteristics of Modulus of Rigidity

Here are some of the important characteristics of Modulus of Rigidity:

  • Modulus of rigidity is a measure of the elastic shear stiffness of a material.
  • The modulus of rigidity can be experimentally determined from the slope of a stress-strain curve created during tensile tests conducted on a material sample.
  • For isotropic materials, the modulus of rigidity value is determined by a torsion test.

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 μ. The modulus of rigidity of a material is directly proportional to its elastic modulus which depends on the material’s 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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What is the Modulus of Rigidity (Shear Modulus)

Modulus of rigidity, also known as shear modulus, is a measure of the elastic shear stiffness of a material. It is defined as the ratio of shear stress to the shear strain. It can be used to explain why a material resists transverse deformations. A way to measure the mechanical properties of solids is to use the shear modulus of elasticity. The SI unit for the Modulus of rigidity is Pascal (Pa) or N/m². It is denoted by G, S, or μ...

Modulus of Rigidity Formula

Formula of Modulus of Rigidity Or Shear Modulus (G) is given below:...

Characteristics of Modulus of Rigidity

Here are some of the important characteristics of Modulus of Rigidity:...

Examples of Modulus of Rigidity

Here are some examples of modulus of rigidity for various materials:...

Relation between Modulus of Elasticity and Modulus of Rigidity

The Modulus of rigidity (G) and the Modulus of elasticity (E) are related through the material’s Poisson’s ratio (v). The relationship can be expressed as:...

Modulus of Rigidity vs Modulus of Elasticity

Comparison between Modulus of elasticity and Modulus of rigidity:...

Relation between Bulk Modulus and Modulus of Rigidity

The Modulus of Rigidity (G) and Bulk Modulus (K) are related through the material’s Poisson’s ratio (v). The relationship can be expressed as:...

Relation Between Modulus of Rigidity and Modulus of Elasticity

The relationship between Modulus of Rigidity(G) and Modulus of Elasticity(E) is given by the formula,...

Applications of Modulus of Rigidity

Some of the common applications of the Modulus of rigidity in real life include:...

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Numerical 1. The area of the upper face of a rectangular block is 0.5 m x 0.5 m and the lower face is fixed. The height of the block is 1 cm. a shearing force applied to the top face produces a displacement of 0.015 mm. Find the strain, stress and the shearing force. Modulus of rigidity = η = 4.5 × 1010 N/m²....

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