AIEngineeringTool

Combined Bending + Torsion

Estimate maximum shear stress from simultaneous bending moment and torque.

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

Estimate maximum shear stress from simultaneous bending moment and torque.

Design inputs

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

PRELIMINARY RESULT

Equivalent torque2.50 kN·m

Maximum shear stress: 101.86 MPa

Equivalent torque
2.50 kN·m
Maximum shear stress
101.86 MPa

Calculation detail

Formula: Te = √(M² + T²); τmax = 16Te / (πd³)

Equivalent torque combines bending moment and torque for a maximum-shear preliminary check.

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.