1. What is Torsion Spring Design?

Torsion spring design involves calculating the angular deflection (θ) of a spring when subjected to torque. The calculation considers the applied torque (M), length of the spring (l), material's elastic modulus (E), and the moment of inertia (I) of the spring's cross-section.

2. How Does the Calculator Work?

The calculator uses the torsion spring formula:

Where:

• \( \theta \) — Angular deflection (radians)
• \( M \) — Applied torque (N·m)
• \( l \) — Length of spring (m)
• \( E \) — Elastic modulus (Pa)
• \( I \) — Moment of inertia (m⁴)

Explanation: The formula calculates how much a spring will twist when a torque is applied, based on the material properties and geometry.

3. Importance of Torsion Calculation

Details: Accurate torsion calculations are crucial for designing springs that will perform as expected under load, ensuring proper function and preventing failure in mechanical systems.

4. Using the Calculator

Tips: Enter torque in N·m, length in meters, elastic modulus in Pascals, and moment of inertia in m⁴. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is angular deflection measured in?
A: Angular deflection is measured in radians (rad). One full revolution equals 2π radians (about 6.283 rad).

Q2: What are typical elastic modulus values?
A: For steel, E ≈ 200 GPa (200×10⁹ Pa). For aluminum, E ≈ 69 GPa. Check material specifications for exact values.

Q3: How do I calculate moment of inertia?
A: For common shapes: solid circle (πd⁴/64), hollow circle (π(D⁴-d⁴)/64), where d=inner diameter, D=outer diameter.

Q4: What if my spring has multiple coils?
A: The formula calculates deflection per unit length. For total deflection, multiply by the number of active coils.

Q5: Are there limitations to this formula?
A: This assumes linear elastic behavior and doesn't account for stress concentrations or plastic deformation at high loads.