➔ Calculate Young's Modulus
➔ Calculate Stress from Young's Modulus
➔ Calculate Strain from Young's Modulus
Young's Modulus Calculators
1. Calculate Young's Modulus
Young's Modulus (E) is a material property that measures the stiffness of a material. It can be calculated using the following formula:
Where:
- Stress () is the force applied per unit area (measured in Pascals, Pa).
- Strain () is the relative deformation (dimensionless).
If you have the stress and strain values, you can calculate Young's Modulus directly.
2. Calculate Stress from Young's Modulus
If you know Young's Modulus (E) and the strain (), you can calculate the stress () using the formula:
Where:
- Stress () is in Pascals (Pa).
- Young's Modulus (E) is in Pascals (Pa).
- Strain () is dimensionless.
3. Calculate Strain from Young's Modulus
If you know the stress () and Young's Modulus (E), you can calculate strain () using the formula:
Where:
- Stress () is in Pascals (Pa).
- Strain () is dimensionless.
- Young's Modulus (E) is in Pascals (Pa).
Example Calculations:
Example 1: Calculate Young's Modulus
If you apply a stress of 500 MPa (500 x 10⁶ Pa) and the material deforms with a strain of 0.002 (dimensionless), you can calculate Young's Modulus as:
Example 2: Calculate Stress from Young's Modulus
If Young's Modulus is 200 GPa and the strain is 0.001, the stress is:
Example 3: Calculate Strain from Young's Modulus
If Stress is 150 MPa and Young's Modulus is 150 GPa, the strain is:
