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Wear strength of the Bevel Gear Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wear_Strength = (0.75*Face width*Ratio factor*Pitch circle diameter of pinion*Material Constant)/cos(Pitch angle)
Sw = (0.75*b*QBevel*Dp*K)/cos(γ)
This formula uses 1 Functions, 5 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
Variables Used
Face width - Face width is the length of the tooth parallel to the gear axis. (Measured in Millimeter)
Ratio factor- Ratio factor for Bevel Gear is the ratio of a gear tooth to the sum of gear and pinion of gear teeth.
Pitch circle diameter of pinion - Pitch circle diameter of pinion is the diameter of the pinion circle. (Measured in Millimeter)
Material Constant - The material constant is the term used to calculate the wear strength of the gear by using the hardness. (Measured in Newton per Square Meter)
Pitch angle - Pitch angle for Bevel Gear is the angle that the pitch line makes with the axis of the gear, is called the pitch angle. The pitch angle is also called centre angle. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Face width: 40 Millimeter --> 0.04 Meter (Check conversion here)
Ratio factor: 1.5 --> No Conversion Required
Pitch circle diameter of pinion: 80 Millimeter --> 0.08 Meter (Check conversion here)
Material Constant: 5 Newton per Square Meter --> 5 Pascal (Check conversion here)
Pitch angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sw = (0.75*b*QBevel*Dp*K)/cos(γ) --> (0.75*0.04*1.5*0.08*5)/cos(0.5235987755982)
Evaluating ... ...
Sw = 0.0207846096908265
STEP 3: Convert Result to Output's Unit
0.0207846096908265 Newton --> No Conversion Required
FINAL ANSWER
0.0207846096908265 Newton <-- Wear Strength
(Calculation completed in 00.015 seconds)

10+ Design of Bevel Gear Calculators

Wear strength of the Bevel Gear
Wear_Strength = (0.75*Face width*Ratio factor*Pitch circle diameter of pinion*Material Constant)/cos(Pitch angle) Go
Beam Strength of tooth of Bevel Gear
beam_strength = ((Module*Face width*Bending Stress*Lewis Form Factor)*(1-(Face width/Cone distance))) Go
Ratio factor for Bevel gear
Ratio_factor_ = (2*Number of teeth on gear)/(Number of teeth on gear+(Number of teeth of the pinion*tan(Pitch angle))) Go
Radial force component acting on Bevel Gear
radial_force = (Tangential force*tan(Pressure angle)*cos(Pitch angle)) Go
Radius of pinion at midpoint along face width
Radius_at_midpoint = ((Pitch circle diameter of pinion/2)-(Face width*sin(Pitch angle))/2) Go
Cone Distance
Cone_Distance = sqrt(((Pitch circle diameter of pinion/2)^2)+((Pitch circle diameter of gear/2)^2)) Go
Actual number of teeth on Bevel Gear
number_of_teeth_on_gear = (Virtual or formative number of teeth)/cos(Pitch angle) Go
Tangential force component
Tangential_force_due_to_rated_torque = (Torque Transmitted/Radius at midpoint) Go
Virtual or formative number of teeth of Bevel Gear
Virtual_or_formative_number_of_teeth = (2*Back cone radius)/Module Go
Bevel Factor
Bevel_Factor = (1-(Face width/Cone distance)) Go

Wear strength of the Bevel Gear Formula

Wear_Strength = (0.75*Face width*Ratio factor*Pitch circle diameter of pinion*Material Constant)/cos(Pitch angle)
Sw = (0.75*b*QBevel*Dp*K)/cos(γ)

Why wear strength is calculated?

The wear strength is calculated to avoid the failure of the gear due to pitting. And can be sued to calculate the terms of gear like module, a factor of safety.

How to Calculate Wear strength of the Bevel Gear?

Wear strength of the Bevel Gear calculator uses Wear_Strength = (0.75*Face width*Ratio factor*Pitch circle diameter of pinion*Material Constant)/cos(Pitch angle) to calculate the Wear Strength, The Wear strength of the Bevel Gear is used to verify the term of failure of gear due to pitting. Wear Strength is denoted by Sw symbol.

How to calculate Wear strength of the Bevel Gear using this online calculator? To use this online calculator for Wear strength of the Bevel Gear, enter Face width (b), Ratio factor (QBevel), Pitch circle diameter of pinion (Dp), Material Constant (K) & Pitch angle (γ) and hit the calculate button. Here is how the Wear strength of the Bevel Gear calculation can be explained with given input values -> 0.020785 = (0.75*0.04*1.5*0.08*5)/cos(0.5235987755982).

FAQ

What is Wear strength of the Bevel Gear?
The Wear strength of the Bevel Gear is used to verify the term of failure of gear due to pitting and is represented as Sw = (0.75*b*QBevel*Dp*K)/cos(γ) or Wear_Strength = (0.75*Face width*Ratio factor*Pitch circle diameter of pinion*Material Constant)/cos(Pitch angle). Face width is the length of the tooth parallel to the gear axis, Ratio factor for Bevel Gear is the ratio of a gear tooth to the sum of gear and pinion of gear teeth, Pitch circle diameter of pinion is the diameter of the pinion circle, The material constant is the term used to calculate the wear strength of the gear by using the hardness & Pitch angle for Bevel Gear is the angle that the pitch line makes with the axis of the gear, is called the pitch angle. The pitch angle is also called centre angle.
How to calculate Wear strength of the Bevel Gear?
The Wear strength of the Bevel Gear is used to verify the term of failure of gear due to pitting is calculated using Wear_Strength = (0.75*Face width*Ratio factor*Pitch circle diameter of pinion*Material Constant)/cos(Pitch angle). To calculate Wear strength of the Bevel Gear, you need Face width (b), Ratio factor (QBevel), Pitch circle diameter of pinion (Dp), Material Constant (K) & Pitch angle (γ). With our tool, you need to enter the respective value for Face width, Ratio factor, Pitch circle diameter of pinion, Material Constant & Pitch angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Wear Strength?
In this formula, Wear Strength uses Face width, Ratio factor, Pitch circle diameter of pinion, Material Constant & Pitch angle. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • Virtual_or_formative_number_of_teeth = (2*Back cone radius)/Module
  • number_of_teeth_on_gear = (Virtual or formative number of teeth)/cos(Pitch angle)
  • Cone_Distance = sqrt(((Pitch circle diameter of pinion/2)^2)+((Pitch circle diameter of gear/2)^2))
  • Radius_at_midpoint = ((Pitch circle diameter of pinion/2)-(Face width*sin(Pitch angle))/2)
  • Tangential_force_due_to_rated_torque = (Torque Transmitted/Radius at midpoint)
  • radial_force = (Tangential force*tan(Pressure angle)*cos(Pitch angle))
  • Bevel_Factor = (1-(Face width/Cone distance))
  • beam_strength = ((Module*Face width*Bending Stress*Lewis Form Factor)*(1-(Face width/Cone distance)))
  • Wear_Strength = (0.75*Face width*Ratio factor*Pitch circle diameter of pinion*Material Constant)/cos(Pitch angle)
  • Ratio_factor_ = (2*Number of teeth on gear)/(Number of teeth on gear+(Number of teeth of the pinion*tan(Pitch angle)))
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