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What is Young's modulus?


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Solution

Young's modulus

  1. Young's modulus is a measurement of a solid's stiffness, or its resistance to elastic deformation under load (E or Y).
  2. Thomas Young, a British polymath and physician, was the inspiration for the Young modulus.
  3. Elastic solids have a low Young's modulus.
  4. Inelastic or stiff is a solid with a high Young's modulus.
  5. Young's modulus is calculated as follows:Y=σ/ε=(F/A)/(ΔL/L0)=FL0/AΔL

Where:

  • E is Young's modulus, usually expressed in Pascal (Pa)
  • σ is the uniaxial stress
  • ε is the strain
  • F is the force of compression or extension
  • A is the cross-sectional surface area or the cross-section perpendicular to the applied force
  • ΔL is the change in length (negative under compression; positive when stretched)
  • L0 is the original length

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