Service Factor using Tangential Force 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 Tangential Force on Spur Gear is defined as the maximum amount of force acting onto the circumference of the gear in the tangential direction.ⓘ Maximum Tangential Force on Spur Gear [P_tmax]			+10% -10%
✖Tangential Force on Spur Gear is the force that acts on a spur gear in the direction of a tangent to the curved path of the gear circumference..ⓘ Tangential Force on Spur Gear [P_t]			+10% -10%

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

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Formula

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Service Factor using Tangential Force

Formula

`"K"_{"s"} = "P"_{"tmax"}/"P"_{"t"}`

Example

`"1.134454"="1080N"/"952N"`

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Download Design of Spur Gears Formulas PDF

Service Factor using Tangential Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Service Factor for Spur Gear = Maximum Tangential Force on Spur Gear/Tangential Force on Spur Gear
K_s = P_tmax/P_t
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 Tangential Force on Spur Gear - (Measured in Newton) - Maximum Tangential Force on Spur Gear is defined as the maximum amount of force acting onto the circumference of the gear in the tangential direction.
Tangential Force on Spur Gear - (Measured in Newton) - Tangential Force on Spur Gear is the force that acts on a spur gear in the direction of a tangent to the curved path of the gear circumference..

STEP 1: Convert Input(s) to Base Unit

Maximum Tangential Force on Spur Gear: 1080 Newton --> 1080 Newton No Conversion Required
Tangential Force on Spur Gear: 952 Newton --> 952 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_s = P_tmax/P_t --> 1080/952

Evaluating ... ...

K_s = 1.13445378151261

STEP 3: Convert Result to Output's Unit

1.13445378151261 --> No Conversion Required

FINAL ANSWER

1.13445378151261 ≈ 1.134454 <-- 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 using Tangential Force

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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Verified by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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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 using Tangential Force Formula

Service Factor for Spur Gear = Maximum Tangential Force on Spur Gear/Tangential Force on Spur Gear
K_s = P_tmax/P_t

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 using Tangential Force?

Service Factor using Tangential Force calculator uses Service Factor for Spur Gear = Maximum Tangential Force on Spur Gear/Tangential Force on Spur Gear to calculate the Service Factor for Spur Gear, The Service factor using tangential force formula is defined as the ratio of the maximum tangential force to the tangential force corresponding to rated torque. Service Factor for Spur Gear is denoted by K_s symbol.

How to calculate Service Factor using Tangential Force using this online calculator? To use this online calculator for Service Factor using Tangential Force, enter Maximum Tangential Force on Spur Gear (P_tmax) & Tangential Force on Spur Gear (P_t) and hit the calculate button. Here is how the Service Factor using Tangential Force calculation can be explained with given input values -> 1.134454 = 1080/952.

FAQ

What is Service Factor using Tangential Force?

The Service factor using tangential force formula is defined as the ratio of the maximum tangential force to the tangential force corresponding to rated torque and is represented as K_s = P_tmax/P_t or Service Factor for Spur Gear = Maximum Tangential Force on Spur Gear/Tangential Force on Spur Gear. Maximum Tangential Force on Spur Gear is defined as the maximum amount of force acting onto the circumference of the gear in the tangential direction & Tangential Force on Spur Gear is the force that acts on a spur gear in the direction of a tangent to the curved path of the gear circumference.

How to calculate Service Factor using Tangential Force?

The Service factor using tangential force formula is defined as the ratio of the maximum tangential force to the tangential force corresponding to rated torque is calculated using Service Factor for Spur Gear = Maximum Tangential Force on Spur Gear/Tangential Force on Spur Gear. To calculate Service Factor using Tangential Force, you need Maximum Tangential Force on Spur Gear (P_tmax) & Tangential Force on Spur Gear (P_t). With our tool, you need to enter the respective value for Maximum Tangential Force on Spur Gear & Tangential Force on 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 Tangential Force on Spur Gear & Tangential Force on Spur Gear. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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