Hooke's Law Calculator

Calculate Young's Modulus









Formula

The formula to calculate Young's Modulus is:

\[ E = \frac{W_{\text{load}} \cdot \delta l}{A_{\text{base}} \cdot l_0} \]

Where:

Definition

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Example Calculation

Let's assume the following values:

Using the formula:

\[ E = \frac{W_{\text{load}} \cdot \delta l}{A_{\text{base}} \cdot l_0} \]

Evaluating:

\[ E = \frac{3600 \cdot 0.02}{10 \cdot 7} \]

The Young's Modulus is 1.02857142857143 N/m².

Conversion Chart

Load (N) Elongation (m) Area of Base (m²) Initial Length (m) Young's Modulus (N/m²)
1000 0.02 10 7 0.285714285714
1500 0.02 10 7 0.428571428571
2000 0.02 10 7 0.571428571429
2500 0.02 10 7 0.714285714286
3000 0.02 10 7 0.857142857143
3500 0.02 10 7 1.000000000000
4000 0.02 10 7 1.142857142857
4500 0.02 10 7 1.285714285714
5000 0.02 10 7 1.428571428571