Explanation:
Calculate the elasticity from Youngs Modulus
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- Young's modulus is a numerical constant that describes the elastic properties of a solid undergoing tension or compression in only one direction, as in the case of a metal rod that, after being stretched or compressed lengthwise, returns to its original length.
- It was named after the English physician and physicist Thomas Young. Young's modulus is a measurement of a material's capacity to endure changes in length when subjected to compression or tension along its length.
- Young's modulus, also known as the modulus of elasticity, is determined by dividing the longitudinal stress by the strain. For a metal bar under tension, stress and strain can be explained as follows.
Formula for stress and strain
When a force is applied to both ends of a metal bar with a cross-sectional area of , the bar stretches from its initial length to a new length . (At the same time, the cross-section shrinks.)
The length change, divided by the initial length. (Strain has no dimensions)
Elasticity from young modulus
Young's modulus can be expressed numerically as,
This is a specific form of Hooke's law of Elasticity.