The formula to calculate the Strain Energy given Moment Value is:
\[ U = \frac{Mb^2 \cdot L}{2 \cdot e \cdot I} \]
Where:
The Strain Energy is defined as the energy stored in a body due to deformation.
Let's assume the following values:
Using the formula:
\[ U = \frac{417^2 \cdot 3.2873}{2 \cdot 50 \cdot 1.125} \]
Evaluating:
\[ U = 5081.113864 \text{ J} \]
The Strain Energy given the Moment Value is 5081.113864 J.
| Bending Moment (Nm) | Length (m) | Elastic Modulus (Pa) | Moment of Inertia (kg·m²) | Strain Energy (J) |
|---|---|---|---|---|
| 400 | 3.2873 | 50 | 1.125 | 4,675.271111111111 |
| 405 | 3.2873 | 50 | 1.125 | 4,792.883400000001 |
| 410 | 3.2873 | 50 | 1.125 | 4,911.956711111111 |
| 415 | 3.2873 | 50 | 1.125 | 5,032.491044444445 |
| 420 | 3.2873 | 50 | 1.125 | 5,154.486400000000 |
| 425 | 3.2873 | 50 | 1.125 | 5,277.942777777777 |
| 430 | 3.2873 | 50 | 1.125 | 5,402.860177777778 |
| 435 | 3.2873 | 50 | 1.125 | 5,529.238600000001 |
| 440 | 3.2873 | 50 | 1.125 | 5,657.078044444444 |
| 445 | 3.2873 | 50 | 1.125 | 5,786.378511111111 |
| 450 | 3.2873 | 50 | 1.125 | 5,917.140000000000 |