Shaft under Bending

Calculate nominal maximum bending stress in a solid circular shaft.

Bending moment: 2 kN·m
Live concept view — geometry scales with the entered design condition.

Calculate nominal maximum bending 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 bending stress162.97 MPa
Maximum bending stress
162.97 MPa

Calculation detail

Formula: σmax = 32M / (πd³)

The elastic flexure formula is applied to a solid circular shaft.

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.