Deformation factor of Gear Solution

STEP 0: Pre-Calculation Summary
Formula Used
Deformation Factor for Spur Gear = Form factor for Spur Gear Tooth/((1/Modulus of Elasticity of Spur Pinion)+(1/Modulus of Elasticity of Spur Gear))
C = k/((1/Ep)+(1/Eg))
This formula uses 4 Variables
Variables Used
Deformation Factor for Spur Gear - (Measured in Pascal) - The Deformation Factor for Spur Gear is a factor accounting for the deformation of the gear tooth.
Form factor for Spur Gear Tooth - The Form factor for Spur Gear Tooth is function of the number of teeth, pressure angle, and involute depth of the gear. It accounts for the geometry of tooth but does not include stress concentration.
Modulus of Elasticity of Spur Pinion - (Measured in Pascal) - Modulus of Elasticity of Spur Pinion is the measure of the stiffness of pinion gear material. It is a measure of how easily the pinion can be bent or stretched.
Modulus of Elasticity of Spur Gear - (Measured in Pascal) - Modulus of Elasticity of Spur Gear is the measure of the stiffness of gear material. It is a measure of how easily the gear can be bent or stretched.
STEP 1: Convert Input(s) to Base Unit
Form factor for Spur Gear Tooth: 0.107 --> No Conversion Required
Modulus of Elasticity of Spur Pinion: 20600 Newton per Square Millimeter --> 20600000000 Pascal (Check conversion here)
Modulus of Elasticity of Spur Gear: 23500 Newton per Square Millimeter --> 23500000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = k/((1/Ep)+(1/Eg)) --> 0.107/((1/20600000000)+(1/23500000000))
Evaluating ... ...
C = 1174573696.14512
STEP 3: Convert Result to Output's Unit
1174573696.14512 Pascal -->1174.57369614512 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
1174.57369614512 1174.574 Newton per Square Millimeter <-- Deformation Factor for Spur Gear
(Calculation completed in 00.020 seconds)

Credits

Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
Vaibhav Malani has created this Calculator and 600+ more calculators!
Verified by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
Chilvera Bhanu Teja has verified this Calculator and 200+ more calculators!

25 Design of Spur Gears Calculators

Center to Center Distance between Spur Gears
Go 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
Go Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear
Resultant Force on Gear
Go 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
Go 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
Go 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
Go 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
Go 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
Go 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
Go Torque transmitted by spur gear = Tangential Force on Spur Gear*Pitch Circle Diameter of Spur Gear/2
Addendum Circle Diameter of Medium Size Gear Diameter given Addendum
Go 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
Go 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
Go 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
Go Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear
Dedendum Circle Diameter of Large Size Gear
Go 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
Go 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
Go Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on 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
Maximum Torque of Gear given Service Factor
Go Maximum Torque on Spur Gear = Service Factor for Spur Gear*Rated Torque of Spur Gear
Service Factor for Gear given Torque
Go Service Factor for Spur Gear = Maximum Torque on Spur Gear/Rated Torque of Spur Gear
Gear Ratio given Number of Teeth
Go Gear Ratio of Spur Gear = Number of Teeth on Spur Gear/Number of Teeth on Pinion
Gear Ratio given Speed
Go Gear Ratio of Spur Gear = Speed of Spur Pinion/Speed of Spur Gear
Diametral Pitch of Gear given Circular Pitch
Go Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear
Outer Diameter of Hub of Large Size Gear
Go Outer Diameter of Spur Gear Hub = 2*Diameter of Spur Gear Shaft
Thickness of Rim of Large Size Gear
Go Thickness of Spur Gear Rim = 0.56*Circular Pitch of Spur Gear
Module of Gear given Diametral Pitch
Go Module of Spur Gear = 1/Diametral Pitch of Spur Gear

Deformation factor of Gear Formula

Deformation Factor for Spur Gear = Form factor for Spur Gear Tooth/((1/Modulus of Elasticity of Spur Pinion)+(1/Modulus of Elasticity of Spur Gear))
C = k/((1/Ep)+(1/Eg))

What is a gear?

Gears are defined as toothed wheels or multilobed-cams, which transmit power and motion from one shaft to another by means of successive engagement of teeth.

How to Calculate Deformation factor of Gear?

Deformation factor of Gear calculator uses Deformation Factor for Spur Gear = Form factor for Spur Gear Tooth/((1/Modulus of Elasticity of Spur Pinion)+(1/Modulus of Elasticity of Spur Gear)) to calculate the Deformation Factor for Spur Gear, Deformation factor of Gear is a factor to account for the deformation of gear under loading conditions. It depends upon the form factor of gear teeth and the modulus of elasticity of gear and pinion. Deformation Factor for Spur Gear is denoted by C symbol.

How to calculate Deformation factor of Gear using this online calculator? To use this online calculator for Deformation factor of Gear, enter Form factor for Spur Gear Tooth (k), Modulus of Elasticity of Spur Pinion (Ep) & Modulus of Elasticity of Spur Gear (Eg) and hit the calculate button. Here is how the Deformation factor of Gear calculation can be explained with given input values -> 0.001175 = 0.107/((1/20600000000)+(1/23500000000)).

FAQ

What is Deformation factor of Gear?
Deformation factor of Gear is a factor to account for the deformation of gear under loading conditions. It depends upon the form factor of gear teeth and the modulus of elasticity of gear and pinion and is represented as C = k/((1/Ep)+(1/Eg)) or Deformation Factor for Spur Gear = Form factor for Spur Gear Tooth/((1/Modulus of Elasticity of Spur Pinion)+(1/Modulus of Elasticity of Spur Gear)). The Form factor for Spur Gear Tooth is function of the number of teeth, pressure angle, and involute depth of the gear. It accounts for the geometry of tooth but does not include stress concentration, Modulus of Elasticity of Spur Pinion is the measure of the stiffness of pinion gear material. It is a measure of how easily the pinion can be bent or stretched & Modulus of Elasticity of Spur Gear is the measure of the stiffness of gear material. It is a measure of how easily the gear can be bent or stretched.
How to calculate Deformation factor of Gear?
Deformation factor of Gear is a factor to account for the deformation of gear under loading conditions. It depends upon the form factor of gear teeth and the modulus of elasticity of gear and pinion is calculated using Deformation Factor for Spur Gear = Form factor for Spur Gear Tooth/((1/Modulus of Elasticity of Spur Pinion)+(1/Modulus of Elasticity of Spur Gear)). To calculate Deformation factor of Gear, you need Form factor for Spur Gear Tooth (k), Modulus of Elasticity of Spur Pinion (Ep) & Modulus of Elasticity of Spur Gear (Eg). With our tool, you need to enter the respective value for Form factor for Spur Gear Tooth, Modulus of Elasticity of Spur Pinion & Modulus of Elasticity of Spur Gear and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!