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Young's Modulus Formula:
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Young's Modulus (also known as the modulus of elasticity) is a measure of the stiffness of a solid 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 calculator uses Hooke's Law formula:
Where:
Explanation: Young's Modulus quantifies how much a material will deform under a given load. Higher values indicate stiffer materials that deform less under the same stress.
Details: Young's Modulus is crucial in engineering and materials science for designing structures, selecting appropriate materials, predicting material behavior under load, and ensuring safety in construction and manufacturing.
Tips: Enter stress in Pascals (Pa) and strain as a dimensionless ratio. Both values must be positive numbers. The calculator will compute Young's Modulus in Pascals.
Q1: What is the difference between stress and strain?
A: Stress is the force applied per unit area (Pa), while strain is the relative deformation (change in length divided by original length, dimensionless).
Q2: What are typical Young's Modulus values for common materials?
A: Rubber: 0.01-0.1 GPa, Wood: 10-15 GPa, Aluminum: 70 GPa, Steel: 200 GPa, Diamond: 1050 GPa.
Q3: Is Young's Modulus constant for a material?
A: Within the elastic limit, yes. Beyond the yield point, materials exhibit plastic deformation and the relationship is no longer linear.
Q4: How does temperature affect Young's Modulus?
A: Generally, Young's Modulus decreases with increasing temperature as materials become less stiff at higher temperatures.
Q5: What is the elastic limit?
A: The maximum stress a material can withstand without permanent deformation. Beyond this point, the material will not return to its original shape when unloaded.