Bernoulli’s theorem basic definition

Meaning of elastic modulus

Elastic modulus is the ratio of the elasticity of the material in quantity. Elastic modulus is also commonly known as modulus of elasticity by many and sometimes modulus. It measures the resistance of a particular material to non-permanent. It also measures the deformation of elastic when an amount of stress is applied to the body of any material.

When the stress is given on any material, it will automatically expose its elastic properties. The material will get back to its original shape after the stress is removed. After undergoing the process, where the everlasting deformation is revealed, the tensile stress is removed. This is how the whole procedure of elastic modulus takes place.

Types of elastic modulus

The elastic modulus of any material is measured by the quantification of the stiffness of the object and some material remains the same even after the stress is applied to them.

There are three different types of elastic modulus:

Young’s Modulus

The amount of the tensile stress given to the tensile strain is known as the young’s modulus.

 It is denoted by using (Y) = longitudinal stress/longitudinal strain Nm-² or by pascals.

Bulk modulus of elasticity

When the amount of stress is given upon anybody, the fraction of the body decreases in volume and it is known as the bulk modulus of elasticity. This means the body is given with the three mutually perpendicular stresses with the uniform intensity, the ratio which is in the form of direct stress to its correspondence volumetric strain is known as the bulk modulus of elasticity. It is usually denoted as (K).

If we need to find out the bulk modulus of elasticity of any material, then this formula is applied.

Bulk Modulus of Elasticity (K) = FV/VA

Shear modulus

Rigidity modulus is another common name of a. The amount of tangential force applied as per unit area to the angular deformation in radians is known as the shear modulus. Shear modulus is denoted by the alphabet (C).

The shear modulus is determined in the following way:

Shear Modulus (n) = tangent stress/Shear strain

                                           = F/A Nm2

Elastic constant

These constants tell us about the deformation that is produced when stress is applied to the body of any material.

• The elastic constant is used to examine the engineering strain in a theoretical manner.
• It is used to find out the relationship between engineering stress and strain.
• The number of elastic constants is usually 4 for homogeneous and isotropic material.

Hooke’s law

According to Hooke’s law,  the amount of stress is directly equivalent to strain, within the limit of its elasticity.

Stress – Strain

Stress = constant (Strain)

Or it could be

Constant = stress/strain

So, within the elastic limit, the amount of stress to the amount of strain remains equal. This consistency is called elastic constant or elastic modulus.

About the application of the elastic modulus

• Usually, it is used in medical science and engineering.
• It is also used in the calculation of how much the material will stretch out and also about how much amount of potential energy will store.
• It will also help us examine how the material will respond when stress is applied.
• In the examination of biological material such as cartilage and bones, the elastic modulus is used.

Real-time examples of the elasticity modulus

Following are the real-time examples for the elasticity modulus:

1. We can see while going up and down from the stairs, it is assumed that according to Young’s modulus, boards are good enough that they always resist breaking when we put our full body mass on them.
2. Racing bicycles and aircraft are examples of Young’s modulus of elasticity, as a minimum weight of stiffness is required to run these vehicles.
3. When a force is applied on rubber, it goes through three types of major changes like stretching, this proves that due to young’s modulus, rubber does not get a break; it only changes its shape of length.

Conclusion

Elastic modulus is the ratio of the elasticity of the material in quantity. Elastic modulus is also commonly known as modulus of elasticity by the people and sometimes modulus. It measures the resistance of a particular material to non-permanent. It also measures the deformation of elastic when an amount of stress is applied to the body of any material.

When the stress is given on any material, it will automatically expose its elastic properties. There are three different types of modulus of elasticity. The amount of the tensile stress given to the tensile strain is known as the young’s modulus. When the amount of stress is given upon anybody, the fraction of the body decreases in volume and it is known as the bulk modulus.

Shear modulus is also known as the rigidity modulus. The amount of tangential force applied as per unit area to the angular deformation in radians is known as the shear modulus. Shear modulus is denoted by the alphabet (C).