Lewis Bending Stress for Spur Gear Tooth Calculator

Quick Answer

Calculate Lewis Bending Stress for Spur Gear Tooth

Result Interpretation

Lewis Bending Stress for Spur Gear Tooth Calculator computes Gear Tooth Bending Stress (Lewis) in Pa using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

Geometry Factor (Lewis Form Factor) = 0.28
Stress Correction Factor (AGMA) = 1
Face Width = 0.04
Tangential Force = 850
Overload Factor = 1.2
Size Factor = 1
Dynamic Factor = 1.05
Diametral Pitch = 6

Expected Result:

Gear Tooth Bending Stress (Lewis) = 573750

Engineering Interpretation:

Under the given input conditions, the calculated result is: Gear Tooth Bending Stress (Lewis) = 573750 Pa.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.

Formula / Method

Lewis = (tangential force * diametral pitch * overload factor * dynamic factor * size factor) / (face width * Lewis Form Factor * AGMA)

Formula family: formula_mech_gear_bending_stress_lewis_checker

Variables

Symbol	Label	Role	Description
F_t	Tangential Force	INPUT	Tangential Force
P_d	Diametral Pitch	INPUT	Diametral Pitch
K_o	Overload Factor	INPUT	Overload Factor
K_v	Dynamic Factor	INPUT	Dynamic Factor
K_s	Size Factor	INPUT	Size Factor
b	Face Width	INPUT	Face Width
J	Geometry Factor (Lewis Form Factor)	INPUT	Geometry Factor (Lewis Form Factor)
Y	Stress Correction Factor (AGMA)	INPUT	Stress Correction Factor (AGMA)
bending_stress	Gear Tooth Bending Stress (Lewis)	OUTPUT	Gear Tooth Bending Stress (Lewis)

Calculation Steps

Enter the tangential force in N.
Enter the diametral pitch in 1/m.
Enter the overload factor in dimensionless.
Enter the dynamic factor in dimensionless.
Enter the size factor in dimensionless.
Enter the face width in m.
Enter the geometry factor (lewis form factor) in dimensionless.
Enter the stress correction factor (agma) in dimensionless.
Step 1: Compute gear tooth bending stress (lewis).
Read the gear tooth bending stress (lewis) (Pa) from the results.

Engineering Summary

Calculate Lewis Bending Stress for Spur Gear Tooth

Frequently Asked Questions

What does this calculator calculate?

The Lewis Bending Stress for Spur Gear Tooth Calculator estimates Gear Tooth Bending Stress (Lewis) based on the input parameters you provide

Why is tangential force important in this calculation?

tangential force is directly proportional to gear tooth bending stress (lewis). When you enter tangential force in N, the calculator uses it in the engineering formula to compute the output

How should I interpret the result gear tooth bending stress (lewis)?

The calculator outputs gear tooth bending stress (lewis) in Pa. For higher pressures, divide by 1000 to express in kPa, or by 101325 for atmospheres. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Tangential Force (N), Diametral Pitch (1/m), Overload Factor (dimensionless), Dynamic Factor (dimensionless), Size Factor (dimensionless), Face Width (m), Geometry Factor (Lewis Form Factor) (dimensionless), Stress Correction Factor (AGMA) (dimensionless). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment