Spring Potential Energy
Compute spring potential energy U from stiffness k and deflection x.
Inputs
Formula
U = ½·k·x²
Spring energy is used in buffers and storage devices.
Fundamentals
Compute spring potential energy U from stiffness k and deflection x.
This tool computes Spring Potential Energy from the formula: U = ½·k·x²
History
Classical mechanics founded by Newton; kinematics formulas remain the basis of mechanical and vehicle design.
Engineering applications
Used for mechanism kinematics, energy calculations and balancing.
Glossary
| Stiffness k | Input parameter |
| Deflection x | Input parameter |
| Spring energy U | Output result |
How to use
- Fill in Stiffness k, Deflection x in the Inputs section (watch the unit on each field).
- Click Calculate; the tool evaluates the formula shown above.
- Read Spring energy U in the results area.
Formula · Worked Example · Knowledge
Formula
核心计算关系：U = ½·k·x²
输入变量：
- Stiffness k
k— N/mm - Deflection x
x— mm
输出结果：
- Spring energy U
U— mJ
假设/适用：Kinematic formulas assume rigid bodies, ignoring friction & elasticity; add losses for dynamics.
Worked Example
根据公式 U = ½·k·x²，取 Stiffness k = 50 N/mm；Deflection x = 20 mm。
代入计算得：Spring energy U = 10,000 mJ。
Key Points
- Kinematic formulas assume rigid bodies, ignoring friction & elasticity; add losses for dynamics.
- Use SI units (kg, m, s, rad) to avoid conversion errors.
- Angular and linear quantities relate by radius r: v = ω·r, a = α·r.
Parameters
Inputs
| Parameter | Symbol | Unit | Default |
|---|---|---|---|
| Stiffness k (N/mm) | k | N/mm | 50 |
| Deflection x (mm) | x | mm | 20 |
Outputs
| Result | Symbol | Unit |
|---|---|---|
| Spring energy U | U | mJ |
Applications
- Linkage and cam kinematics design
- Pulley mechanical-advantage study
- Engine valve-train and crank analysis
FAQ
What formula does this tool use?
This tool computes per ISO / AGMA / ASME standard formulas: U = ½·k·x²
How accurate are the results?
Results match input precision, based on SI units and common engineering approximations; for critical duty re-check with a safety factor.
Where is it used?
Linkage and cam kinematics design