## Wear Strength of Spur Gear Tooth Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wear Strength of Bevel Gear Tooth = (Face Width of Spur Gear Tooth*Ratio Factor for Spur Gear*Pitch Circle Diameter of Spur Pinion)*(0.16*(Brinell Hardness Number Spur Gear/100)^2)
Sw = (b*Qg*Dp)*(0.16*(BHN/100)^2)
This formula uses 5 Variables
Variables Used
Wear Strength of Bevel Gear Tooth - (Measured in Newton) - Wear Strength of Bevel Gear Tooth indicates the maximum value of radial force at the large end of the tooth that the tooth can transmit without pitting failure.
Face Width of Spur Gear Tooth - (Measured in Millimeter) - Face Width of Spur Gear Tooth is the length of the gear tooth parallel to the gear axis.
Ratio Factor for Spur Gear - Ratio Factor for Spur Gear is the ratio of twice gear teeth to the sum of gear and pinion of gear teeth, considering a formative number of teeth.
Pitch Circle Diameter of Spur Pinion - (Measured in Millimeter) - The Pitch Circle Diameter of Spur Pinion is the diameter of the circle that passes through all the pitch points of gear. This is where the gear's speed is measured.
Brinell Hardness Number Spur Gear - Brinell Hardness Number Spur Gear is a number expressing the load applied in testing in kilograms divided by the spherical area of indentation produced in the specimen in square millimetres.
STEP 1: Convert Input(s) to Base Unit
Face Width of Spur Gear Tooth: 34 Millimeter --> 34 Millimeter No Conversion Required
Ratio Factor for Spur Gear: 1.5 --> No Conversion Required
Pitch Circle Diameter of Spur Pinion: 85 Millimeter --> 85 Millimeter No Conversion Required
Brinell Hardness Number Spur Gear: 380 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sw = (b*Qg*Dp)*(0.16*(BHN/100)^2) --> (34*1.5*85)*(0.16*(380/100)^2)
Evaluating ... ...
Sw = 10015.584
STEP 3: Convert Result to Output's Unit
10015.584 Newton --> No Conversion Required
10015.584 โ 10015.58 Newton <-- Wear Strength of Bevel Gear Tooth
(Calculation completed in 00.020 seconds)
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Created by Ojas Kulkarni
Sardar Patel College of Engineering (SPCE), Mumbai
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Verified by Vishal Anand
Indian Institute of Technology Kharagpur (IIT KGP), Kharagpur
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## < 25 Design of Spur Gears Calculators

Center to Center Distance between Spur Gears
Distance between Spur Gear Centres = Module of Spur Gear*((Number of Teeth on Pinion+Number of Teeth on Spur Gear)/2)
Circular Pitch of Gear given Diameter and Number of Teeth
Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear
Resultant Force on Gear
Resultant Force on Spur Gear = Tangential Force on Spur Gear/cos(Pressure Angle of Spur Gear)
Radial Force of Gear given Tangential Force and Pressure Angle
Radial Force on Spur Gear = Tangential Force on Spur Gear*tan(Pressure Angle of Spur Gear)
Tangential Force on Gear given Radial Force and Pressure Angle
Tangential Force on Spur Gear = Radial Force on Spur Gear*cot(Pressure Angle of Spur Gear)
Pitch Circle Diameter of holes of Medium Size Gear
Pitch Circle Diameter of Holes in Gear = (Inner Diameter of Rim of Spur Gear+Outer Diameter of Spur Gear Hub)/2
Diameter of Holes in Gear Web of Medium Size Diameter
Diameter of Holes in Spur Gear Web = (Inner Diameter of Rim of Spur Gear-Outer Diameter of Spur Gear Hub)/4
Inner Diameter of Rim of Large Size Gear
Inner Diameter of Rim of Spur Gear = Dedendum Circle Diameter of Spur Gear-2*Thickness of Spur Gear Rim
Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter
Torque transmitted by spur gear = Tangential Force on Spur Gear*Pitch Circle Diameter of Spur Gear/2
Addendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear+(2*Addendum of spur gear)
Tangential Force on Gear given Torque and Pitch Circle Diameter
Tangential Force on Spur Gear = 2*Torque transmitted by spur gear/Pitch Circle Diameter of Spur Gear
Dedendum Circle Diameter of Medium Size Gear given Dedundum
Dedendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear-(2*Dedundum of Spur Gear)
Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter
Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear
Dedendum Circle Diameter of Large Size Gear
Dedendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear-2.5)
Addendum Circle Diameter of Large Size Gear
Addendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear+2)
Pitch Circle Diameter of Gear given Module and Number of Teeth
Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear
Module of Gear given Pitch Circle Diameter
Module of Spur Gear = Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear
Maximum Torque of Gear given Service Factor
Maximum Torque on Spur Gear = Service Factor for Spur Gear*Rated Torque of Spur Gear
Service Factor for Gear given Torque
Service Factor for Spur Gear = Maximum Torque on Spur Gear/Rated Torque of Spur Gear
Gear Ratio given Number of Teeth
Gear Ratio of Spur Gear = Number of Teeth on Spur Gear/Number of Teeth on Pinion
Gear Ratio given Speed
Gear Ratio of Spur Gear = Speed of Spur Pinion/Speed of Spur Gear
Diametral Pitch of Gear given Circular Pitch
Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear
Outer Diameter of Hub of Large Size Gear
Outer Diameter of Spur Gear Hub = 2*Diameter of Spur Gear Shaft
Thickness of Rim of Large Size Gear
Thickness of Spur Gear Rim = 0.56*Circular Pitch of Spur Gear
Module of Gear given Diametral Pitch
Module of Spur Gear = 1/Diametral Pitch of Spur Gear

## Wear Strength of Spur Gear Tooth Formula

Wear Strength of Bevel Gear Tooth = (Face Width of Spur Gear Tooth*Ratio Factor for Spur Gear*Pitch Circle Diameter of Spur Pinion)*(0.16*(Brinell Hardness Number Spur Gear/100)^2)
Sw = (b*Qg*Dp)*(0.16*(BHN/100)^2)

## What is Hertz theory of contacting cylindrical surfaces?

The contact of cylindrical surfaces is a special case of Hertzian contact that considers contact between two infinitely long parallel-axis cylinders or between an infinitely long cylindrical surface and the surface of a half space. This theory is used to derive the expression for wear strength.

## How to Calculate Wear Strength of Spur Gear Tooth?

Wear Strength of Spur Gear Tooth calculator uses Wear Strength of Bevel Gear Tooth = (Face Width of Spur Gear Tooth*Ratio Factor for Spur Gear*Pitch Circle Diameter of Spur Pinion)*(0.16*(Brinell Hardness Number Spur Gear/100)^2) to calculate the Wear Strength of Bevel Gear Tooth, Wear Strength of Spur Gear Tooth is defined as the strength of gear material against pitting failure. The wear strength is measured at the pinion of the gearing mechanism. Wear Strength of Bevel Gear Tooth is denoted by Sw symbol.

How to calculate Wear Strength of Spur Gear Tooth using this online calculator? To use this online calculator for Wear Strength of Spur Gear Tooth, enter Face Width of Spur Gear Tooth (b), Ratio Factor for Spur Gear (Qg), Pitch Circle Diameter of Spur Pinion (Dp) & Brinell Hardness Number Spur Gear (BHN) and hit the calculate button. Here is how the Wear Strength of Spur Gear Tooth calculation can be explained with given input values -> 10015.58 = (0.034*1.5*0.085)*(0.16*(380/100)^2).

### FAQ

What is Wear Strength of Spur Gear Tooth?
Wear Strength of Spur Gear Tooth is defined as the strength of gear material against pitting failure. The wear strength is measured at the pinion of the gearing mechanism and is represented as Sw = (b*Qg*Dp)*(0.16*(BHN/100)^2) or Wear Strength of Bevel Gear Tooth = (Face Width of Spur Gear Tooth*Ratio Factor for Spur Gear*Pitch Circle Diameter of Spur Pinion)*(0.16*(Brinell Hardness Number Spur Gear/100)^2). Face Width of Spur Gear Tooth is the length of the gear tooth parallel to the gear axis, Ratio Factor for Spur Gear is the ratio of twice gear teeth to the sum of gear and pinion of gear teeth, considering a formative number of teeth, The Pitch Circle Diameter of Spur Pinion is the diameter of the circle that passes through all the pitch points of gear. This is where the gear's speed is measured & Brinell Hardness Number Spur Gear is a number expressing the load applied in testing in kilograms divided by the spherical area of indentation produced in the specimen in square millimetres.
How to calculate Wear Strength of Spur Gear Tooth?
Wear Strength of Spur Gear Tooth is defined as the strength of gear material against pitting failure. The wear strength is measured at the pinion of the gearing mechanism is calculated using Wear Strength of Bevel Gear Tooth = (Face Width of Spur Gear Tooth*Ratio Factor for Spur Gear*Pitch Circle Diameter of Spur Pinion)*(0.16*(Brinell Hardness Number Spur Gear/100)^2). To calculate Wear Strength of Spur Gear Tooth, you need Face Width of Spur Gear Tooth (b), Ratio Factor for Spur Gear (Qg), Pitch Circle Diameter of Spur Pinion (Dp) & Brinell Hardness Number Spur Gear (BHN). With our tool, you need to enter the respective value for Face Width of Spur Gear Tooth, Ratio Factor for Spur Gear, Pitch Circle Diameter of Spur Pinion & Brinell Hardness Number Spur Gear and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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