Enter the stress and strain into the calculator to determine the elastic constant. This calculator helps in understanding the stiffness of a material under elastic deformation.
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Elastic Constant Formula
The following formula is used to calculate the elastic constant:
E = frac{sigma}{epsilon}Variables:
- E is the elastic constant (Young’s modulus) in N/m²
- σ (sigma) is the stress applied to the material in N/m²
- ε (epsilon) is the strain experienced by the material (unitless)
To calculate the elastic constant, divide the stress applied to the material by the strain experienced by the material.
What is an Elastic Constant?
The elastic constant, also known as Young’s modulus, is 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. The elastic constant is an intrinsic property of a material that is independent of the amount of material or its shape and size.
How to Calculate Elastic Constant?
The following steps outline how to calculate the Elastic Constant.
- First, determine the stress (σ) applied to the material in N/m².
- Next, determine the strain (ε) experienced by the material (unitless).
- Use the formula E = σ / ε to calculate the Elastic Constant (E).
- Finally, calculate the Elastic Constant (E) in N/m².
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Stress (σ) = 500 N/m²
Strain (ε) = 0.05 (unitless)
