Calculator inputs
Example data table
| Material | Force | Length | Diameter | Modulus | Predicted elongation |
|---|---|---|---|---|---|
| Steel | 1000 N | 2 m | 2 mm | 200 GPa | 3.183 mm |
| Aluminum | 500 N | 1.5 m | 1.6 mm | 69 GPa | 5.410 mm |
| Copper | 2500 N | 3 m | 3 mm | 110 GPa | 2.894 mm |
Formula used
Axial elongation: ΔL = (F × L) / (A × E)
Stress: σ = F / A
Strain: ε = ΔL / L
Axial stiffness: k = (A × E) / L
Elastic energy: U = 1/2 × F × ΔL
Here, F is axial load, L is original length, A is effective cross-sectional area, and E is Young's modulus. For several identical wires sharing the same load path, the calculator multiplies the single-wire area by the number of wires to obtain the total effective area.
How to use this calculator
- Select a material preset or keep the modulus fully custom.
- Enter the applied force and choose the matching force unit.
- Enter the original wire length and its length unit.
- Choose diameter mode for round wires or area mode for direct area input.
- Add the number of parallel wires when the load is shared equally.
- Optionally enter yield strength to estimate factor of safety.
- Press the calculate button and review the result block above the form.
- Use the export buttons to save the result as CSV or PDF.
FAQs
1. What is wire elongation?
Wire elongation is the change in length caused by an axial load. It depends on force, original length, cross-sectional area, and Young’s modulus. Larger force and length increase stretch, while larger area and stiffness reduce it.
2. Why is Young’s modulus important?
Young’s modulus measures how strongly a material resists elastic deformation. A higher modulus means the wire stretches less under the same load, geometry, and boundary conditions.
3. Should I enter diameter or area?
Use diameter mode for round wires when diameter is known. Use area mode when the cross-sectional area is already specified or when the wire is not circular.
4. Does this formula work for elastic loading only?
Yes, if the load stays within the elastic range. The formula assumes the material follows Hooke’s law, the wire is uniform, and the deformation is small.
5. What is the difference between stress and strain?
Stress is force divided by area. Strain is elongation divided by original length. The calculator reports both because they help verify whether the wire remains in a safe elastic state.
6. What does stored elastic energy mean?
Energy stored is the elastic strain energy in the stretched wire. For linear behavior, it equals one half of the applied force multiplied by the computed elongation.
7. Can I compare multiple designs with this tool?
Use the same material, length, and loading assumptions. Then compare elongation, stress, stiffness, and factor of safety across different diameters, areas, or moduli.
8. What is not included in this calculator?
This tool excludes temperature effects, creep, plastic deformation, residual stress, and bending. Use a more detailed mechanics model when thermal or nonlinear effects matter.