AIEngineeringTool

Shaft Diameter - Hollow

Size the outside diameter of a hollow circular shaft from torque, inner diameter and allowable stress.

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

Size the outside diameter of a hollow circular shaft from torque, inner diameter and allowable stress.

Design inputs

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

PRELIMINARY RESULT

Required outside diameter42.31 mm

Inner diameter: 30.00 mm

Required outside diameter
42.31 mm
Inner diameter
30.00 mm

Calculation detail

Formula: T = (π/16)τ((Do⁴ - Di⁴) / Do)

Outside diameter is solved numerically from the hollow-shaft torsion equation.

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.