Question

What is Young's modulus?

Answer 1

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:$Y=\sigma /\epsilon =(F/A)/(\Delta L/L_0)=F{L}_0/A\Delta L$

Where:

• $E$ is Young's modulus, usually expressed in Pascal (Pa)
• $\sigma$ is the uniaxial stress
• $\epsilon$ 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
• $\Delta L$ is the change in length (negative under compression; positive when stretched)
• $L_0$ is the original length