Service Factor for Gear given Torque Calculator

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Design of Gears

Basics Of Machine Design

Design of Coupling

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Design of Spur Gears

Design of Bevel Gears

Design of Helical Gears

Design of Worm Gears

✖Maximum Torque on Spur Gear is the maximum working torque that can is acting onto a spur gear.ⓘ Maximum Torque on Spur Gear [M_Tmax]			+10% -10%
✖The Rated Torque of Spur Gear is the torque capacity for which the gear is rated.ⓘ Rated Torque of Spur Gear [M_Trated]			+10% -10%

✖Service Factor for Spur Gear is defined as the ratio of the torque capacity and the rated torque value.ⓘ Service Factor for Gear given Torque [K_s]

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Formula

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Service Factor for Gear given Torque

Formula

`"K"_{"s"} = "M"_{"Tmax"}/"M"_{"Trated"}`

Example

`"1.207692"="31400N*mm"/"26000N*mm"`

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Service Factor for Gear given Torque Solution

STEP 0: Pre-Calculation Summary

Formula Used

Service Factor for Spur Gear = Maximum Torque on Spur Gear/Rated Torque of Spur Gear
K_s = M_Tmax/M_Trated
This formula uses 3 Variables

Variables Used

Service Factor for Spur Gear - Service Factor for Spur Gear is defined as the ratio of the torque capacity and the rated torque value.
Maximum Torque on Spur Gear - (Measured in Newton Meter) - Maximum Torque on Spur Gear is the maximum working torque that can is acting onto a spur gear.
Rated Torque of Spur Gear - (Measured in Newton Meter) - The Rated Torque of Spur Gear is the torque capacity for which the gear is rated.

STEP 1: Convert Input(s) to Base Unit

Maximum Torque on Spur Gear: 31400 Newton Millimeter --> 31.4 Newton Meter (Check conversion here)
Rated Torque of Spur Gear: 26000 Newton Millimeter --> 26 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_s = M_Tmax/M_Trated --> 31.4/26

Evaluating ... ...

K_s = 1.20769230769231

STEP 3: Convert Result to Output's Unit

1.20769230769231 --> No Conversion Required

FINAL ANSWER

1.20769230769231 ≈ 1.207692 <-- Service Factor for Spur Gear

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Gears » Design of Spur Gears » Service Factor for Gear given Torque

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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< 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

Service Factor for Gear given Torque Formula

Service Factor for Spur Gear = Maximum Torque on Spur Gear/Rated Torque of Spur Gear
K_s = M_Tmax/M_Trated

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 Service Factor for Gear given Torque?

Service Factor for Gear given Torque calculator uses Service Factor for Spur Gear = Maximum Torque on Spur Gear/Rated Torque of Spur Gear to calculate the Service Factor for Spur Gear, The service factor for gear given torque formula is defined as the ratio of maximum torque to rated torque. Service Factor for Spur Gear is denoted by K_s symbol.

How to calculate Service Factor for Gear given Torque using this online calculator? To use this online calculator for Service Factor for Gear given Torque, enter Maximum Torque on Spur Gear (M_Tmax) & Rated Torque of Spur Gear (M_Trated) and hit the calculate button. Here is how the Service Factor for Gear given Torque calculation can be explained with given input values -> 1.207692 = 31.4/26.

FAQ

What is Service Factor for Gear given Torque?

The service factor for gear given torque formula is defined as the ratio of maximum torque to rated torque and is represented as K_s = M_Tmax/M_Trated or Service Factor for Spur Gear = Maximum Torque on Spur Gear/Rated Torque of Spur Gear. Maximum Torque on Spur Gear is the maximum working torque that can is acting onto a spur gear & The Rated Torque of Spur Gear is the torque capacity for which the gear is rated.

How to calculate Service Factor for Gear given Torque?

The service factor for gear given torque formula is defined as the ratio of maximum torque to rated torque is calculated using Service Factor for Spur Gear = Maximum Torque on Spur Gear/Rated Torque of Spur Gear. To calculate Service Factor for Gear given Torque, you need Maximum Torque on Spur Gear (M_Tmax) & Rated Torque of Spur Gear (M_Trated). With our tool, you need to enter the respective value for Maximum Torque on Spur Gear & Rated Torque of Spur Gear 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 Service Factor for Spur Gear?

In this formula, Service Factor for Spur Gear uses Maximum Torque on Spur Gear & Rated Torque of Spur Gear. We can use 2 other way(s) to calculate the same, which is/are as follows -

Service Factor for Spur Gear = Maximum Tangential Force on Spur Gear/Tangential Force on Spur Gear
Service Factor for Spur Gear = Starting Torque on Spur Gear/Rated Torque of Spur Gear

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