Center to Center Distance between Spur Gears Calculator

✖Module of Spur Gear is the unit of size that indicates how big or small is a gear.ⓘ Module of Spur Gear [m]			+10% -10%
✖Number of Teeth on Pinion is the total number of teeth on the periphery of the smaller gear or also known as the pinion.ⓘ Number of Teeth on Pinion [z_p]			+10% -10%
✖Number of Teeth on Spur Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration.ⓘ Number of Teeth on Spur Gear [z]			+10% -10%

✖The Distance between Spur Gear Centres is defined as the distance between the centers of the two spur gears that are in mesh with each other.ⓘ Center to Center Distance between Spur Gears [a]

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Formula

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Center to Center Distance between Spur Gears

Formula

a = m \cdot (\frac{z p + z}{2})

Example

86.1 mm = 4.1 mm \cdot (\frac{12 + 30}{2})

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Center to Center Distance between Spur Gears Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distance between Spur Gear Centres = Module of Spur Gear*((Number of Teeth on Pinion+Number of Teeth on Spur Gear)/2)
a = m*((z_p+z)/2)
This formula uses 4 Variables

Variables Used

Distance between Spur Gear Centres - (Measured in Meter) - The Distance between Spur Gear Centres is defined as the distance between the centers of the two spur gears that are in mesh with each other.
Module of Spur Gear - (Measured in Meter) - Module of Spur Gear is the unit of size that indicates how big or small is a gear.
Number of Teeth on Pinion - Number of Teeth on Pinion is the total number of teeth on the periphery of the smaller gear or also known as the pinion.
Number of Teeth on Spur Gear - Number of Teeth on Spur Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration.

STEP 1: Convert Input(s) to Base Unit

Module of Spur Gear: 4.1 Millimeter --> 0.0041 Meter (Check conversion here)
Number of Teeth on Pinion: 12 --> No Conversion Required
Number of Teeth on Spur Gear: 30 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = m*((z_p+z)/2) --> 0.0041*((12+30)/2)

Evaluating ... ...

a = 0.0861

STEP 3: Convert Result to Output's Unit

0.0861 Meter -->86.1 Millimeter (Check conversion here)

FINAL ANSWER

86.1 Millimeter <-- Distance between Spur Gear Centres

(Calculation completed in 00.004 seconds)

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has created this Calculator and 600+ more calculators!

Verified by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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< Parameters of Spur Gear Calculators

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

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

Diametral Pitch of Gear given Circular Pitch

Go Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear

Module of Gear given Diametral Pitch

Go Module of Spur Gear = 1/Diametral Pitch of Spur Gear

Center to Center Distance between Spur Gears Formula

Distance between Spur Gear Centres = Module of Spur Gear*((Number of Teeth on Pinion+Number of Teeth on Spur Gear)/2)
a = m*((z_p+z)/2)

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 Center to Center Distance between Spur Gears?

Center to Center Distance between Spur Gears calculator uses Distance between Spur Gear Centres = Module of Spur Gear*((Number of Teeth on Pinion+Number of Teeth on Spur Gear)/2) to calculate the Distance between Spur Gear Centres, Center to center distance between Spur Gears is defined as the distance between the two spur gears which are in mesh with each other's teeth. Distance between Spur Gear Centres is denoted by a symbol.

How to calculate Center to Center Distance between Spur Gears using this online calculator? To use this online calculator for Center to Center Distance between Spur Gears, enter Module of Spur Gear (m), Number of Teeth on Pinion (z_p) & Number of Teeth on Spur Gear (z) and hit the calculate button. Here is how the Center to Center Distance between Spur Gears calculation can be explained with given input values -> 86100 = 0.0041*((12+30)/2).

FAQ

What is Center to Center Distance between Spur Gears?

Center to center distance between Spur Gears is defined as the distance between the two spur gears which are in mesh with each other's teeth and is represented as a = m*((z_p+z)/2) or Distance between Spur Gear Centres = Module of Spur Gear*((Number of Teeth on Pinion+Number of Teeth on Spur Gear)/2). Module of Spur Gear is the unit of size that indicates how big or small is a gear, Number of Teeth on Pinion is the total number of teeth on the periphery of the smaller gear or also known as the pinion & Number of Teeth on Spur Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration.

How to calculate Center to Center Distance between Spur Gears?

Center to center distance between Spur Gears is defined as the distance between the two spur gears which are in mesh with each other's teeth is calculated using Distance between Spur Gear Centres = Module of Spur Gear*((Number of Teeth on Pinion+Number of Teeth on Spur Gear)/2). To calculate Center to Center Distance between Spur Gears, you need Module of Spur Gear (m), Number of Teeth on Pinion (z_p) & Number of Teeth on Spur Gear (z). With our tool, you need to enter the respective value for Module of Spur Gear, Number of Teeth on Pinion & Number of Teeth on 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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