AIEngineeringTool

Shaft Stability

Screen a shaft for Euler axial buckling under compressive load.

Unsupported length: 1.5 m
Live concept view — geometry scales with the entered design condition.

Screen a shaft for Euler axial buckling under compressive load.

Design inputs

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

PRELIMINARY RESULT

Euler critical load110.24 kN
Euler critical load
110.24 kN

Calculation detail

Formula: Pcr = π²EI / (KL)²

Euler critical load is used as an elastic buckling screen for an axially loaded shaft-like member.

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.