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eng.gear-tooth-bending-stress Calculator
Calculates gear tooth bending stress using the AGMA formula from transmitted load, module, face width, and form factor. AGMA tooth bending stress must be below the allowable bending stress for the gear material and quality — typically HB/3 (MPa) for through-hardened steel.
Inputs
Transmitted Force N
Push or pull (N). F = ma. Net force determines acceleration. Account for all forces including gravity and friction.
Module Mm
Reference formula or conversion factor shown for context.
Face Width Mm
Horizontal extent perpendicular to the length.
Form Factor Y
A multiplier applied in the calculation.
Kv Dynamic
A multiplier applied in the calculation.
Results
bending stress σ (MPa)
Internal force per unit area (Pa or MPa). Must stay below yield strength in service. Beyond yield: permanent deformation. Beyond tensile strength: fracture.
dynamic factor Kv
A dimensionless multiplier applied in the calculation.
Lewis: σ = Wt·Kv/(b·m·Y)
Voltage in kilovolts (kV). 1 kV = 1,000 V. Used for high-voltage transmission lines and industrial equipment.
form factor Y for 20° PA
A dimensionless multiplier applied in the calculation.
allowable bending stress
Internal force per unit area (Pa or MPa). Must stay below yield strength in service. Beyond yield: permanent deformation. Beyond tensile strength: fracture.
contact stress
Internal force per unit area (Pa or MPa). Must stay below yield strength in service. Beyond yield: permanent deformation. Beyond tensile strength: fracture.