Tolerance factor of Gear Calculator

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Design of Gears

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Design of Spur Gears

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Design of Helical Gears

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✖Module of spur gear in mm is the unit of size that indicates how big or small is the spur gear.ⓘ Module of spur gear in mm [m]			+10% -10%
✖Pitch Circle Diameter of Spur Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.ⓘ Pitch Circle Diameter of Spur Gear [d]			+10% -10%

✖The Tolerance Factor of Spur Gear is a factor accounting for tolerance in gear manufacturing.ⓘ Tolerance factor of Gear [ϕ]

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Formula

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Tolerance factor of Gear

Formula

`"ϕ" = ("m")+(0.25*(sqrt("d")))`

Example

`"5.585878"=("5.5")+(0.25*(sqrt("118mm")))`

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Download Design of Spur Gears Formulas PDF

Tolerance factor of Gear Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tolerance Factor of Spur Gear = (Module of spur gear in mm)+(0.25*(sqrt(Pitch Circle Diameter of Spur Gear)))
ϕ = (m)+(0.25*(sqrt(d)))
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Tolerance Factor of Spur Gear - The Tolerance Factor of Spur Gear is a factor accounting for tolerance in gear manufacturing.
Module of spur gear in mm - Module of spur gear in mm is the unit of size that indicates how big or small is the spur gear.
Pitch Circle Diameter of Spur Gear - (Measured in Meter) - Pitch Circle Diameter of Spur Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.

STEP 1: Convert Input(s) to Base Unit

Module of spur gear in mm: 5.5 --> No Conversion Required
Pitch Circle Diameter of Spur Gear: 118 Millimeter --> 0.118 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ϕ = (m)+(0.25*(sqrt(d))) --> (5.5)+(0.25*(sqrt(0.118)))

Evaluating ... ...

ϕ = 5.58587782018659

STEP 3: Convert Result to Output's Unit

5.58587782018659 --> No Conversion Required

FINAL ANSWER

5.58587782018659 ≈ 5.585878 <-- Tolerance Factor of Spur Gear

(Calculation completed in 00.004 seconds)

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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

Tolerance factor of Gear Formula

Tolerance Factor of Spur Gear = (Module of spur gear in mm)+(0.25*(sqrt(Pitch Circle Diameter of Spur Gear)))
ϕ = (m)+(0.25*(sqrt(d)))

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 Tolerance factor of Gear?

Tolerance factor of Gear calculator uses Tolerance Factor of Spur Gear = (Module of spur gear in mm)+(0.25*(sqrt(Pitch Circle Diameter of Spur Gear))) to calculate the Tolerance Factor of Spur Gear, Tolerance factor of Gear is a factor to account for the accuracy of the gear manufacturing. It depends on the module and pitch circle diameter. It is useful in calculating the effects of the accumulated variation that is allowed by specified dimensions and tolerances. Tolerance Factor of Spur Gear is denoted by ϕ symbol.

How to calculate Tolerance factor of Gear using this online calculator? To use this online calculator for Tolerance factor of Gear, enter Module of spur gear in mm (m) & Pitch Circle Diameter of Spur Gear (d) and hit the calculate button. Here is how the Tolerance factor of Gear calculation can be explained with given input values -> 5.585878 = (5.5)+(0.25*(sqrt(0.118))).

FAQ

What is Tolerance factor of Gear?

Tolerance factor of Gear is a factor to account for the accuracy of the gear manufacturing. It depends on the module and pitch circle diameter. It is useful in calculating the effects of the accumulated variation that is allowed by specified dimensions and tolerances and is represented as ϕ = (m)+(0.25*(sqrt(d))) or Tolerance Factor of Spur Gear = (Module of spur gear in mm)+(0.25*(sqrt(Pitch Circle Diameter of Spur Gear))). Module of spur gear in mm is the unit of size that indicates how big or small is the spur gear & Pitch Circle Diameter of Spur Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.

How to calculate Tolerance factor of Gear?

Tolerance factor of Gear is a factor to account for the accuracy of the gear manufacturing. It depends on the module and pitch circle diameter. It is useful in calculating the effects of the accumulated variation that is allowed by specified dimensions and tolerances is calculated using Tolerance Factor of Spur Gear = (Module of spur gear in mm)+(0.25*(sqrt(Pitch Circle Diameter of Spur Gear))). To calculate Tolerance factor of Gear, you need Module of spur gear in mm (m) & Pitch Circle Diameter of Spur Gear (d). With our tool, you need to enter the respective value for Module of spur gear in mm & Pitch Circle Diameter of 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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