AIEngineeringTool

Shaft Deflection

Calculate mid-span deflection of a simply supported solid shaft under a central load.

Central load: 2000 N
Live concept view — geometry scales with the entered design condition.

Calculate mid-span deflection of a simply supported solid shaft under a central load.

Design inputs

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

PRELIMINARY RESULT

Second moment of area306,796 mm⁴

Mid-span deflection: 0.679 mm

Second moment of area
306,796 mm⁴
Mid-span deflection
0.679 mm

Calculation detail

Formula: δ = WL³ / (48EI)

Mid-span deflection is calculated for a simply supported beam with one central point load.

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.