1. What is Torsion Spring Force Calculation?

Definition: This calculator determines the linear force exerted by a torsion spring based on its spring constant, angular deflection, and moment arm length.

Purpose: It helps engineers and designers calculate the force output of torsion springs used in various mechanical applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( F \) — Force (Newtons, N)
• \( k \) — Spring constant (N m/rad)
• \( \theta \) — Angular deflection (radians)
• \( r \) — Moment arm radius (meters)

Explanation: The spring constant multiplied by angular deflection gives torque, which is then divided by radius to convert to linear force.

3. Importance of Torsion Spring Calculations

Details: Accurate force calculations ensure proper spring selection for applications like door hinges, clothespins, and various mechanical devices.

4. Using the Calculator

Tips: Enter the spring constant (torque required to rotate the spring through one radian), angular deflection in radians, and moment arm length in meters. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's a typical spring constant range?
A: Spring constants vary widely from 0.01 N m/rad for small springs to 100+ N m/rad for heavy-duty applications.

Q2: How do I convert degrees to radians?
A: Multiply degrees by π/180 (≈0.0174533). 360° = 2π radians.

Q3: Does the radius affect force output?
A: Yes, force decreases with longer moment arms for the same torque.

Q4: What if my spring has multiple legs?
A: Calculate force for each leg separately and sum the forces if they act in the same direction.

Q5: How does material affect calculations?
A: Material properties are accounted for in the spring constant (k) value.