Question

How is Young's modulus related to stiffness?

Answer 1

Explanation:

1. Every material has a fundamental property called Young's modulus that cannot be altered. But it is influenced by pressure and temperature.
2. Young's modulus, often known as elastic modulus, is a measure of a material's stiffness. It may be bent or stretched easily, in other words.
3. More specifically, the physics and numerical values are calculated as follows: $Young\text{'}sModulus=\frac{Stress}{Strain}$, where Stress = force / cross-sectional area, and Strain = change in length / original length.
4. For particular stress, if young's modulus is high then elastic deformation is small. Therefore, stiffness is proportional to young's modulus.
5. The resulting plot, when graphed, will resemble the following:

The slope of the curve's first section is Young's modulus or $m$ in $y=mx+b$.

1. A material will start to distort if it reaches a certain stress level. The material structure is stretching at this point rather than deforming. However, if the material is stressed above this point, the molecules or atoms inside will start to deform and the material will eventually alter permanently.
2. Rubber bands make an excellent comparison because they are stretched rather than deformed when they are stretched. The rubber band will start to degrade or deform if you tug it too hard. Usually, when this occurs, it doesn't take long before it breaks.

Hence,stiffness and young's modulus are directly proportional to each other.