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Wear Strength of Spur Gear Tooth Calculator

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✖Face Width of Spur Gear Tooth is the length of the gear tooth parallel to the gear axis.ⓘ Face Width of Spur Gear Tooth [b]			+10% -10%
✖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.ⓘ Ratio Factor for Spur Gear [Q_g]			+10% -10%
✖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.ⓘ Pitch Circle Diameter of Spur Pinion [D_p]			+10% -10%
✖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.ⓘ Brinell Hardness Number Spur Gear [BHN]			+10% -10%

✖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.ⓘ Wear Strength of Spur Gear Tooth [S_w]

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Formula

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Wear Strength of Spur Gear Tooth

Formula

S w = (b \cdot Q g \cdot D p) \cdot (0.16 \cdot {(\frac{BHN}{100})}^{2})

Example

10015.58 N = (34 mm \cdot 1.5 \cdot 85 mm) \cdot (0.16 \cdot {(\frac{380}{100})}^{2})

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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)
S_w = (b*Q_g*D_p)*(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

S_w = (b*Q_g*D_p)*(0.16*(BHN/100)^2) --> (34*1.5*85)*(0.16*(380/100)^2)

Evaluating ... ...

S_w = 10015.584

STEP 3: Convert Result to Output's Unit

10015.584 Newton --> No Conversion Required

FINAL ANSWER

10015.584 ≈ 10015.58 Newton <-- Wear Strength of Bevel Gear Tooth

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Gears » Mechanical » Design of Spur Gears » Wear Strength of Spur Gear Tooth

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Created by Ojas Kulkarni

Sardar Patel College of Engineering (SPCE), Mumbai

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Indian Institute of Technology Kharagpur (IIT KGP), Kharagpur

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< 5 Design of Spur Gears Calculators

Circular Pitch of Gear given Diameter and Number of Teeth

Go Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear

Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter

Go Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear

Module of Gear given Pitch Circle Diameter

Go Module of Spur Gear = Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear

Diametral Pitch of Gear given Circular Pitch

Go Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear

Module of Gear given Diametral Pitch

Go Module of Spur Gear = 1/Diametral Pitch of Spur Gear

Wear Strength of Spur Gear Tooth Formula

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 S_w 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 (Q_g), Pitch Circle Diameter of Spur Pinion (D_p) & 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 S_w = (b*Q_g*D_p)*(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 (Q_g), Pitch Circle Diameter of Spur Pinion (D_p) & 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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