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Solvers/mechanical/shaft-torsion

Shaft Torsion & Angle of Twist Calculator

Design power transmission drive shafts by computing torque from RPM and power, polar second moments of area, peak surface shear stress, and torsional stiffness.

Shaft & Power Inputs

Torque (T)
350.1 N·m
Max Shear Stress (τ)
14.3 MPa
Twist Angle (θ)
0.742°

Calculation Steps

1. Transmitted Torque (T)

Applied torsional moment calculated from input power and rotational velocity.

2. Polar Moment of Inertia (J)

Geometric resistance of circular cross section against torsional deformation.

3. Maximum Surface Shear Stress (τ_max)

Peak torsional shear stress occurring on the outer skin of the shaft.

4. Total Angle of Twist (θ)

Angular deflection along the length of the transmitting shaft.

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Governing Equation

Analytical equations compliant with standard university curricula and professional engineering practice codes.