The formula to calculate Young's Modulus (Y) is:
\[ \text{Y} = \frac{\text{S1}}{\text{S2}} \]
Where:
Young's modulus, also known as the elastic modulus, is a fundamental material property that quantifies the stiffness or rigidity of a solid material. It measures how much a material will deform under an applied force and how well it can return to its original shape once the force is removed.
Young's modulus is defined as the ratio of stress (force per unit area) to strain (change in length per unit length) within the elastic limit of a material. It represents the slope of the stress-strain curve in the linear elastic region. In simpler terms, it describes how much a material stretches or compresses when subjected to a given force.
Let's consider an example:
Using the formula to calculate Young's Modulus:
\[ \text{Y} = \frac{100000}{0.005} = 20,000,000 \, \text{Pa} \]
This demonstrates that with a stress of 100,000 Pa and a strain of 0.005, the Young's modulus would be 20,000,000 Pa.
