AIEngineeringTool

Shaft under Torsion

Calculate maximum torsional shear stress in a solid circular shaft.

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

Calculate maximum torsional shear stress in a solid circular shaft.

Design inputs

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

PRELIMINARY RESULT

Maximum shear stress20.37 MPa
Maximum shear stress
20.37 MPa

Calculation detail

Formula: τmax = 16T / (πd³)

Maximum shear stress occurs at the outer surface of a solid circular shaft in pure torsion.

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.