Le Gear Contact Strength Calculator is a free online engineering tool that helps engineers and gear designers accurately evaluate the contact stress and surface strength of spur, helical, and other gear types. By entering essential parameters such as transmitted torque, gear module, number of teeth, face width, material properties, and operating conditions, the Gear Contact Strength Calculator quickly calculates gear contact strength to determine whether the design meets industry standards and performance requirements. This calculator helps reduce the risk of surface fatigue, pitting, and premature gear failure while improving transmission efficiency and reliability. Ideal for mechanical engineers, gearbox designers, and manufacturers, it provides fast, accurate, browser-based calculations without requiring specialized software.

Gear Contact Strength Calculator | Hertzian Contact Stress

Paramètres d'entrée

Load Input
N·m
kW
tr/min
Géométrie
mm
mm
mm
°
Material Properties
MPa
MPa
Factors
MPa

Résultats

Maximum Hertzian Contact Stress σ_H
MPa
Ft Tangential Force — N
FN Normal Force — N
T1 Input Torque — N·m
d1 Pinion Pitch Diameter — mm
d2 Gear Pitch Diameter — mm
u Gear Ratio
v Pitch Line Velocity — m/s
ρ1 Pinion Radius of Curvature — mm
ρ2 Gear Radius of Curvature — mm
ρe Equivalent Radius of Curvature — mm
Ee Equivalent Elastic Modulus — MPa
Contact Stress Utilization — %

Core Formulas

Ft = 2000 · T1 / d1
FN = Ft / cos α
ρ1 = d1 · sin α / 2
ρ2 = d2 · sin α / 2
1/ρe = 1/ρ1 + 1/ρ2
σH = √[ FN · KUN / (π · b · ρe · ((1−ν₁²)/E₁ + (1−ν₂²)/E₂)) ]