Modulus of Elasticity Formula
Formula of Elastic Modulus is given as the ratio of stress and strain
E = σ / ε
where
- E is the Elastic Modulus,
- ε is the resulting strain of the material
- σ is the stress applied to the material.
We can also define the modulus of elasticity by:
E = (F × L) / (A × δL)
where
- F = force exerted by the object under tension
- L = length
- A = cross-sectional area
- δL = change in length
- E = Young modulus in Pa
Modulus of Elasticity Dimensional formula
The Dimensional Formula for Modulus of Elasticity can be written as: [M1L-1T-2]
Where,
- M = mass
- L = length
- T = time
Derivation of Dimensional Formula of Modulus of Elasticity
We can derive the dimensional formula of Modulus of Elasticity as follows:
Modulus of Elasticity = Stress / Strain
We know, Stress = Force / Area.
Force = mass × acceleration = [M1L1T-2]
Area = length × breadth [M0L2T0]
Now, Stress = [M1L-1T-2] {Force / Area}
And, the dimensional formula of linear strain = [M0L0T0]
Therefore, the modulus of elasticity is dimensionally represented as [M1 L-1 T-2].
Unit of Elastic Modulus
SI Unit of Modulus of Elasticity is Nm-2 or Pascal
Elastic Modulus is expressed as a force per unit area. Its unit of measurement is pascals (Pa) or pounds per square inch (psi). If elastic modulus is of larger magnitudes, they are expressed by MPa and GPa. It is a measure of a material’s stiffness or resistance to elastic deformation under stress.
Modulus of Elasticity
Modulus of Elasticity or Elastic Modulus is the measurement of resistance offered by a material against the deformation force acting on it. Modulus of Elasticity is also called Young’s Modulus. It is given as the ratio of Stress to Strain. The unit of elastic modulus is megapascal or gigapascal
Modulus of Elasticity is one of the most important concepts of material science and engineering. It is the property of material that measures stiffness to elastic deformation under stress. In this article, we will discuss about Modulus of Elasticity, including its definition, types, and fundamental concepts along with its various applications in day-to-day life.
Table of Content
- What is Modulus of Elasticity
- How to Calculate Modulus of Elasticity
- Modulus of Elasticity Formula
- Modulus of Elasticity of Different Materials
- Modulus of Elasticity vs Modulus of Rigidity