Spiral Torsion Spring Calculator
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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

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. 
What is torque?
Torque is the rotational force applied to an object, measured in Newtonmeters (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.