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Young's Modulus is a fundamental mechanical property that measures 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 the formula:
Where:
Explanation: This formula calculates Young's Modulus by dividing the hoop stress by the corresponding strain, providing a measure of the material's stiffness under circumferential stress conditions.
Details: Calculating Young's Modulus is crucial for material selection in engineering applications, predicting material behavior under stress, and ensuring structural integrity in design processes.
Tips: Enter hoop stress in Pascals and strain as a dimensionless value. Both values must be positive numbers for accurate calculation.
Q1: What is the typical range of Young's Modulus for common materials?
A: Young's Modulus varies widely: rubber (~0.01-0.1 GPa), plastics (1-4 GPa), aluminum (69 GPa), steel (200 GPa), diamond (~1000 GPa).
Q2: How does temperature affect Young's Modulus?
A: Generally, Young's Modulus decreases with increasing temperature as materials become less stiff when heated.
Q3: What is the difference between Young's Modulus and stiffness?
A: Young's Modulus is a material property, while stiffness depends on both the material (E) and the geometry of the object.
Q4: Can Young's Modulus be negative?
A: No, Young's Modulus is always positive for stable materials. Negative values would indicate unstable materials.
Q5: How is Young's Modulus measured experimentally?
A: Typically through tensile testing where a material sample is stretched while measuring the applied force and resulting elongation.