The formula to calculate the Elastic Constant (Young's Modulus) is:
E=σϵ
Where:
E is the Elastic Constant (Young's Modulus) in N/m²
σ is the Stress applied to the material in N/m²
ϵ is the Strain experienced by the material (unitless)
Definition
Elastic Constant (Young's Modulus): A measure of the stiffness of a material. It defines the relationship between stress (force per unit area) and strain (proportional deformation) in a material in the linear elasticity regime of a uniaxial deformation.
Stress (σ): The force applied per unit area of the material.
Strain (ε): The proportional deformation experienced by the material.
Significance: High values of Young's Modulus indicate a stiffer material. It is an intrinsic property of a material that is independent of the amount of material or its shape and size.
Example
Let's say the stress (σ) is 200 N/m² and the strain (ε) is 0.01. Using the formula:
E=2000.01=20000
So, the Elastic Constant (Young's Modulus) is 20000 N/m².
