AIEngineeringTool

Shaft Diameter - Solid

Size a solid circular shaft from transmitted torque and allowable shear stress.

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

Size a solid circular shaft from transmitted torque and allowable shear stress.

Design inputs

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

PRELIMINARY RESULT

Required diameter38.39 mm
Required diameter
38.39 mm

Calculation detail

Formula: d = ∛(16T / πτ)

The torsion equation is rearranged for the required solid-shaft diameter.

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.