Maximum Tooth Height above Pitch Polygon Calculator

✖Pitch of Chain is the distance between the centers of two consecutive teeth of a sprocket wheel, used to determine the size of the chain.ⓘ Pitch of Chain [P]			+10% -10%
✖Roller Radius of Chain Sprocket Wheel is the radius of the roller of the chain sprocket wheel, which is a critical component in a bicycle's gear system.ⓘ Roller Radius of Chain [R]			+10% -10%
✖Number of teeth on sprocket is the total count of teeth present on the circumference of the sprocket wheel, which affects the gear ratio and overall mechanism.ⓘ Number of Teeth on Sprocket [z]			+10% -10%

✖Maximum Sprocket Tooth Height is the highest point of the tooth on the sprocket wheel, critical in determining the wheel's overall dimensions and functionality.ⓘ Maximum Tooth Height above Pitch Polygon [ha_max]

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Maximum Tooth Height above Pitch Polygon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Sprocket Tooth Height = 0.625*Pitch of Chain-Roller Radius of Chain+(0.8*Pitch of Chain/Number of Teeth on Sprocket)
ha_max = 0.625*P-R+(0.8*P/z)
This formula uses 4 Variables

Variables Used

Maximum Sprocket Tooth Height - (Measured in Meter) - Maximum Sprocket Tooth Height is the highest point of the tooth on the sprocket wheel, critical in determining the wheel's overall dimensions and functionality.
Pitch of Chain - (Measured in Meter) - Pitch of Chain is the distance between the centers of two consecutive teeth of a sprocket wheel, used to determine the size of the chain.
Roller Radius of Chain - (Measured in Meter) - Roller Radius of Chain Sprocket Wheel is the radius of the roller of the chain sprocket wheel, which is a critical component in a bicycle's gear system.
Number of Teeth on Sprocket - Number of teeth on sprocket is the total count of teeth present on the circumference of the sprocket wheel, which affects the gear ratio and overall mechanism.

STEP 1: Convert Input(s) to Base Unit

Pitch of Chain: 22 Millimeter --> 0.022 Meter (Check conversion here)
Roller Radius of Chain: 5.961 Millimeter --> 0.005961 Meter (Check conversion here)
Number of Teeth on Sprocket: 18 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ha_max = 0.625*P-R+(0.8*P/z) --> 0.625*0.022-0.005961+(0.8*0.022/18)

Evaluating ... ...

ha_max = 0.00876677777777778

STEP 3: Convert Result to Output's Unit

0.00876677777777778 Meter -->8.76677777777778 Millimeter (Check conversion here)

FINAL ANSWER

8.76677777777778 ≈ 8.766778 Millimeter <-- Maximum Sprocket Tooth Height

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Chain Drives » Mechanical » Proportions of the Sprocket Wheel » Maximum Tooth Height above Pitch Polygon

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Proportions of the Sprocket Wheel Calculators

Top Diameter of Sprocket Wheel

LaTeX Go Top Diameter of Sprocket Wheel = Sproket Diameter of Pitch Circle+Pitch of Chain*(1-(1.6/Number of Teeth on Sprocket))-2*Roller Radius of Chain

Pitch Circle Diameter given Pitch

LaTeX Go Sproket Diameter of Pitch Circle = Pitch of Chain/sin(3.035/Number of Teeth on Sprocket)

Number of Teeth on Sprocket given Pitch Angle of Sprocket

LaTeX Go Number of Teeth on Sprocket = 360/(Pitch Angle of Sprocket*(180/pi))

Pitch Angle of Sprocket

LaTeX Go Pitch Angle of Sprocket = (360/Number of Teeth on Sprocket)/57.24

Maximum Tooth Height above Pitch Polygon Formula

LaTeX Go

Maximum Sprocket Tooth Height = 0.625*Pitch of Chain-Roller Radius of Chain+(0.8*Pitch of Chain/Number of Teeth on Sprocket)
ha_max = 0.625*P-R+(0.8*P/z)

What is a Pitch Polygon?

A pitch polygon in the context of sprockets and chain drives is the geometric shape formed by connecting the centers of the chain pins as they engage with the sprocket teeth. This polygon represents the effective diameter around which the chain wraps and engages the sprocket, helping in the analysis and design of the chain drive system to ensure smooth operation and proper alignment.

How to Calculate Maximum Tooth Height above Pitch Polygon?

Maximum Tooth Height above Pitch Polygon calculator uses Maximum Sprocket Tooth Height = 0.625*Pitch of Chain-Roller Radius of Chain+(0.8*Pitch of Chain/Number of Teeth on Sprocket) to calculate the Maximum Sprocket Tooth Height, Maximum Tooth Height above Pitch Polygon formula is defined as the maximum vertical distance from the pitch circle to the top of the tooth, which is a critical parameter in gear design that affects the performance and efficiency of the gear system. Maximum Sprocket Tooth Height is denoted by ha_max symbol.

How to calculate Maximum Tooth Height above Pitch Polygon using this online calculator? To use this online calculator for Maximum Tooth Height above Pitch Polygon, enter Pitch of Chain (P), Roller Radius of Chain (R) & Number of Teeth on Sprocket (z) and hit the calculate button. Here is how the Maximum Tooth Height above Pitch Polygon calculation can be explained with given input values -> 8727.778 = 0.625*0.022-0.005961+(0.8*0.022/18).

FAQ

What is Maximum Tooth Height above Pitch Polygon?

Maximum Tooth Height above Pitch Polygon formula is defined as the maximum vertical distance from the pitch circle to the top of the tooth, which is a critical parameter in gear design that affects the performance and efficiency of the gear system and is represented as ha_max = 0.625*P-R+(0.8*P/z) or Maximum Sprocket Tooth Height = 0.625*Pitch of Chain-Roller Radius of Chain+(0.8*Pitch of Chain/Number of Teeth on Sprocket). Pitch of Chain is the distance between the centers of two consecutive teeth of a sprocket wheel, used to determine the size of the chain, Roller Radius of Chain Sprocket Wheel is the radius of the roller of the chain sprocket wheel, which is a critical component in a bicycle's gear system & Number of teeth on sprocket is the total count of teeth present on the circumference of the sprocket wheel, which affects the gear ratio and overall mechanism.

How to calculate Maximum Tooth Height above Pitch Polygon?

Maximum Tooth Height above Pitch Polygon formula is defined as the maximum vertical distance from the pitch circle to the top of the tooth, which is a critical parameter in gear design that affects the performance and efficiency of the gear system is calculated using Maximum Sprocket Tooth Height = 0.625*Pitch of Chain-Roller Radius of Chain+(0.8*Pitch of Chain/Number of Teeth on Sprocket). To calculate Maximum Tooth Height above Pitch Polygon, you need Pitch of Chain (P), Roller Radius of Chain (R) & Number of Teeth on Sprocket (z). With our tool, you need to enter the respective value for Pitch of Chain, Roller Radius of Chain & Number of Teeth on Sprocket 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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