Young's modulus, also known as the elastic modulus, is a measure of a solid material's stiffness or resistance to elastic deformation under load. It quantifies the relationship between stress (force per unit area) and strain (proportional deformation) in a material. Young's modulus is a fundamental property in materials science and engineering, crucial for understanding and predicting the behavior of materials under various loading conditions.

Formula

The formula for Young's modulus is:

\[ E = \frac{\sigma}{\varepsilon} \]

Where:

\( E \) is Young's modulus (typically measured in Pascal, Pa)

\( \sigma \) (sigma) is the tensile stress (force per unit area)

\( \varepsilon \) (epsilon) is the extensional strain (proportional deformation)

Calculation Steps

Let's calculate Young's modulus for a material under tension: