Shaft Torsion Calculator

Shafts in mechanical systems transfer torque and experience torsional stress.
This Shaft Torsion Calculator instantly computes: 1. Torsional shear stress (τ), 2. Angle of twist (θ). Based on torque, diameter, length, and material properties.
Essential for mechanical engineers, designers, maintenance teams, and students.

Shear Stress & Angle of Twist Calculator

  1. Enter the applied torque in N·m.

  2. Enter the shaft diameter in mm.

  3. Enter the shaft length in mm.

  4. Enter the material shear modulus (G) in GPa.

    • Steel ≈ 80 GPa

    • Aluminum ≈ 26 GPa

    • Titanium ≈ 42 GPa

  5. Click Calculate Torsion.

  6. The tool displays:

    • Shear Stress (Pa)

    • Angle of Twist (radians and degrees)

🧭 How to Use

FAQ

Q1. What is torsional shear stress?

A. Stress caused when torque is applied on a circular shaft.

Q2. What is angle of twist?

A. The rotational displacement over a shaft’s length due to torque.

Q3. Which materials have highest shear modulus?

A. Steel and titanium alloys provide higher torsional stiffness.

Q4. Does larger diameter reduce torsional stress?

A. Yes — even a small increase in diameter greatly reduces shear stress.