Spiral Torsion Spring Calculator

Spiral Torsion Spring Formula

The formula to calculate the torque (M) provided by a spiral torsion spring is:

\[ M = \frac{\pi \cdot E \cdot b \cdot t^3 \cdot \theta}{6 \cdot L} \]

Where:

• \(E\) = Modulus of elasticity (N/m²)
• \(b\) = Material width (meters)
• \(t\) = Material thickness (meters)
• \(\theta\) = Angular deflection (radians)
• \(L\) = Length of the spring (meters)

Example Calculation

If a spiral torsion spring has the following properties:

• \(E = 200,000 \, N/m²\)
• \(b = 0.01 \, m\)
• \(t = 0.005 \, m\)
• \(\theta = 0.785 \, radians\) (45°)
• \(L = 0.1 \, m\)

Then the torque can be calculated as:

\[ M = \frac{\pi \cdot 200000 \cdot 0.01 \cdot (0.005)^3 \cdot 0.785}{6 \cdot 0.1} = 0.0206 \, N·m \]

FAQ

1. What is spiral torsion?
   Spiral torsion is a measure of the torque generated by a helical or spiral spring when subjected to a twisting force.

2. What is torque?
   Torque is the rotational force applied to an object, measured in Newton-meters (N·m). It describes the twisting effect exerted on the object.

This calculator helps engineers and designers calculate the torque of a spiral torsion spring based on key parameters like elasticity, deflection, and material dimensions.