1. What is Angle of Twist?

The angle of twist (θ) is the angular displacement along the length of a shaft or structural member when subjected to torque. It's a crucial parameter in mechanical and structural engineering for analyzing torsional deformation.

2. How Does the Calculator Work?

The calculator uses the angle of twist formula:

Where:

• \( \theta \) — Angle of twist (radians)
• \( T \) — Applied torque (N·m)
• \( L \) — Length of shaft (m)
• \( d \) — Diameter of shaft (m)
• \( G \) — Shear modulus of material (Pa)

Explanation: The formula calculates the angular deformation of a circular shaft under torsion, considering the material properties and geometric dimensions.

3. Importance of Angle of Twist Calculation

Details: Calculating angle of twist is essential for designing shafts and torsional members to ensure they don't exceed allowable deformation limits, which could affect performance or cause failure.

4. Using the Calculator

Tips: Enter torque in N·m, length in meters, diameter in meters, and shear modulus in Pascals. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for input?
A: Use consistent SI units: N·m for torque, meters for length/diameter, and Pascals for shear modulus.

Q2: Is this formula valid for non-circular sections?
A: No, this formula is specifically for solid circular shafts. Different formulas apply for other cross-sections.

Q3: How does diameter affect the angle of twist?
A: The angle of twist is inversely proportional to the fourth power of diameter, so small diameter changes have large effects.

Q4: What's a typical shear modulus value for steel?
A: For steel, G is typically around 79.3 GPa (79.3 × 10⁹ Pa).

Q5: Can I use this for hollow shafts?
A: No, for hollow shafts you would need to use the polar moment of inertia (J) instead of the diameter^4 term.