AIEngineeringTool

Shaft Angle of Twist

Calculate angular twist of a solid circular shaft under torque.

Applied torque: 500 N·m
Live concept view — geometry scales with the entered design condition.

Calculate angular twist of a solid circular shaft under torque.

Design inputs

Enter known values using the units shown. Results and the live SVG view update immediately.

PRELIMINARY RESULT

Angle of twist0.01031 rad

Angle of twist: 0.591 degrees

Angle of twist
0.01031 rad
Angle of twist
0.591 degrees

Calculation detail

Formula: θ = TL / (JG)

Angular twist is calculated from torque, shaft length, polar moment and shear modulus.

FORMULA VERIFICATION

Units, scope and reference

Reference: Shigley, Mechanical Engineering Design, circular-shaft torsion and elementary beam theory.

Internal unit basis: N, mm, MPa and SI rotational units converted explicitly. Outputs: tool-specific SI engineering units.

Valid conditions: Positive finite geometry, load and source-controlled property inputs.

Limitations: Preliminary elastic screening only; no code-compliance, detailed stress concentration or service spectrum design.