## The Mechanical engineering, is plays a important branch role in the today's Technology that **Assist** you to done things with ease, so let's learn about Concept of What is Young Modulus, Modulus of Rigidity, Bulk Modulus and Poisson’s Ratio - definitions, formulas and units that helps to **modernize our society**.

**Assist**you to done things with ease, so let's learn about Concept of What is Young Modulus, Modulus of Rigidity, Bulk Modulus and Poisson’s Ratio - definitions, formulas and units that helps to

**modernize our society**.

# Define strength of material?

Strength of material is The branch of

**engineering - science**which deals with the ability of various**types of materials**to resist it's fail your and their behaviour by the application of**forces**.In strength of material the

**elastic constants**plays the important role for solving problems.The elastic constants such as Young's modulus or modulus of elasticity, modulus of rigidity, bulk modulus etc.

## What is Young Modulus, Modulus of Rigidity, Bulk Modulus and Poisson’s Ratio - definitions, formulas and units.

### Young's modulus or modulus of elasticity:-

The

**hooks law**state that when the material is loaded within the elastic limit the stress is directly proportional to the strain.To remove the proportionality sign we use a constant known as

**Young's modulus or modulus of elasticity.**The modulus of elasticity or Young's modulus is denoted by letter

**E**.**Stress = modulus of elasticity or young's modulus**

**×**

**strain**

Mathematically,

**σ α ε**

**σ = E ε**

**σ = stress**

**ε = strain**

**E = modulus of elasticity.**

Where E is a constant of proportionality and it is known as

**Young's modulus for modulus of elasticity.**The unit of modulus of elasticity or Young's modulus is

**Nm-2 or Pascal.**### Shear modulus or modulus of rigidity:-

A shear modulus is found experimentally that

**within the elastic limit, the shear stress is directly proportional to the shear strain.**To remove the proportionality sign we use a constant known as

**shear modulus or modulus of rigidity.**The modulus of rigidity or shear modulus is denoted by letter

**G.****Shear stress = modulus of rigidity or shear modulus**

**×**

**Shear strain**

Mathematically,

**Ꞇ****α**

**ꬾ**

**Ꞇ**

**=**

**G**

**×**

**ꬾ**

**Ꞇ****= shear stress****ꬾ**

**= shear strain**

**G = shear modulus or modulus of rigidity.**

Where G is a constant of proportionality and it is known as

**shear modulus or modulus of rigidity.**

Unit of shear shear modulus or modulus of rigidity is

**Nm-2 or Pascal.**### Bulk modulus:-

When a body is subjected to

**three**mutually perpendicular stresses that are equal in intensity and the ratio of direct stress to the corresponding volumetric strain is called as**bulk modulus.**The bulk modulus is denoted by letter

**K.****Bulk modulus = direct stress / volumetric strain**

Mathematically,

**K = σ / εV**

K = Bulk modulus

**σ = direct stress**

**εV = volumetric strain.**

The unit of modulus of elasticity or Young's modulus is

**Nm-2 or Pascal.**### Poisson’s Ratio:-

The poison's ratio is defined as the ratio of lateral strain to the linear strain. This ratio called as

**poison's ratio.**The poison's ratio denoted by Greek letter

**μ.****Poison's ratio = lateral strain (**

**ε**)

**/ linear strain (**

**ε)**

Mathematically,

**μ = ε (lateral) / ε (linear)**

**μ = poison's ratio**

Poisons ratio has

**no units**.Here we concluding, If you have any queries about the topic of What is Young Modulus, Modulus of Rigidity, Bulk Modulus and Poisson’s Ratio - definitions, formulas and units then feel free to

**comment**below.

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