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Modulus of Elasticity Formula:
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The Modulus of Elasticity (Young's Modulus) is a measure of a material's stiffness or resistance to elastic deformation under stress. It represents the ratio of stress to strain in the elastic region of a material's behavior.
The calculator uses the Modulus of Elasticity formula:
Where:
Explanation: The formula calculates how much a material will deform under a given load within its elastic limit, where deformation is reversible.
Details: This property is crucial in engineering design, material selection, and structural analysis. It helps predict how materials will behave under various loading conditions and ensures structural integrity and safety.
Tips: Enter stress in Pascals (Pa) and strain as a dimensionless value. Both values must be positive numbers. The calculator will compute the Modulus of Elasticity in Pascals.
Q1: What is the difference between elastic and plastic deformation?
A: Elastic deformation is temporary and reversible, while plastic deformation is permanent and irreversible once the load is removed.
Q2: What are typical Modulus of Elasticity values for common materials?
A: Steel: ~200 GPa, Aluminum: ~70 GPa, Concrete: ~30 GPa, Wood: ~10 GPa, Rubber: ~0.01-0.1 GPa.
Q3: How does temperature affect Modulus of Elasticity?
A: Generally, Modulus of Elasticity decreases with increasing temperature as materials become less stiff at higher temperatures.
Q4: What is the relationship between Modulus of Elasticity and stiffness?
A: Modulus of Elasticity directly measures material stiffness - higher values indicate stiffer materials that deform less under the same stress.
Q5: Can Modulus of Elasticity be negative?
A: No, Modulus of Elasticity is always positive for stable materials. Negative values would indicate unstable mechanical behavior.