1. What is the Torque Formula?

The torque formula \( T = \frac{G \times \theta \times J}{L} \) calculates the twisting moment in a shaft based on the modulus of rigidity, angle of twist, polar moment of inertia, and length of the shaft. This is fundamental in mechanical engineering for analyzing torsional stress and deformation.

2. How Does the Calculator Work?

The calculator uses the torque formula:

Where:

• \( T \) — Torque (N·m)
• \( G \) — Modulus of Rigidity (Pa)
• \( \theta \) — Angle of Twist (rad)
• \( J \) — Polar Moment of Inertia (m⁴)
• \( L \) — Length of Shaft (m)

Explanation: The formula relates the applied torque to the material properties and geometric characteristics of the shaft.

3. Importance of Torque Calculation

Details: Accurate torque calculation is essential for designing shafts and other rotating elements to ensure they can withstand applied loads without excessive deformation or failure.

4. Using the Calculator

Tips: Enter all values in the appropriate units. Ensure all inputs are positive numbers for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is Modulus of Rigidity?
A: Modulus of Rigidity (G) is a material property that measures its resistance to shear deformation.

Q2: How is Polar Moment of Inertia different from regular Moment of Inertia?
A: Polar Moment of Inertia relates to torsional resistance, while area Moment of Inertia relates to bending resistance.

Q3: What units should be used for Angle of Twist?
A: Angle of Twist should be in radians for this calculation.

Q4: Can this formula be used for non-circular shafts?
A: This specific formula is primarily for circular shafts. Different formulas apply for non-circular cross-sections.

Q5: What are typical values for Modulus of Rigidity?
A: For steel, G is typically around 80 GPa; for aluminum, around 26 GPa; values vary by material.