Number of Links in Chain Calculator

✖Centre Distance between Chain Pulleys is the distance between the centres of two pulleys in a chain drive system, affecting the chain's tension and motion.ⓘ Centre Distance between Chain Pulleys [C]			+10% -10%
✖Pitch of Chain is the distance between two consecutive identical links measured along the direction of the chain's length.ⓘ Pitch of Chain [P]			+10% -10%
✖Number of Teeth on Driving Sprocket is the total count of teeth present on the driving sprocket in a chain drive system, affecting the overall gear ratio.ⓘ Number of Teeth on Driving Sprocket [z₁]			+10% -10%
✖Number of Teeth on Driven Sprocket is the total count of teeth on the driven sprocket in a chain drive system, which affects the overall gear ratio.ⓘ Number of Teeth on Driven Sprocket [z₂]			+10% -10%

✖Number of Links in Chain is the total count of individual links that are connected to form a chain in a geometric system.ⓘ Number of Links in Chain [L_n]

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Number of Links in Chain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Links in Chain = 2*(Centre Distance between Chain Pulleys/Pitch of Chain)+(Number of Teeth on Driving Sprocket+Number of Teeth on Driven Sprocket)/2+(Pitch of Chain/Centre Distance between Chain Pulleys)*((Number of Teeth on Driven Sprocket-Number of Teeth on Driving Sprocket)/2*pi)^2
L_n = 2*(C/P)+(z₁+z₂)/2+(P/C)*((z₂-z₁)/2*pi)^2
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Number of Links in Chain - Number of Links in Chain is the total count of individual links that are connected to form a chain in a geometric system.
Centre Distance between Chain Pulleys - (Measured in Meter) - Centre Distance between Chain Pulleys is the distance between the centres of two pulleys in a chain drive system, affecting the chain's tension and motion.
Pitch of Chain - (Measured in Meter) - Pitch of Chain is the distance between two consecutive identical links measured along the direction of the chain's length.
Number of Teeth on Driving Sprocket - Number of Teeth on Driving Sprocket is the total count of teeth present on the driving sprocket in a chain drive system, affecting the overall gear ratio.
Number of Teeth on Driven Sprocket - Number of Teeth on Driven Sprocket is the total count of teeth on the driven sprocket in a chain drive system, which affects the overall gear ratio.

STEP 1: Convert Input(s) to Base Unit

Centre Distance between Chain Pulleys: 573.8 Millimeter --> 0.5738 Meter (Check conversion here)
Pitch of Chain: 22 Millimeter --> 0.022 Meter (Check conversion here)
Number of Teeth on Driving Sprocket: 17 --> No Conversion Required
Number of Teeth on Driven Sprocket: 34 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_n = 2*(C/P)+(z₁+z₂)/2+(P/C)*((z₂-z₁)/2*pi)^2 --> 2*(0.5738/0.022)+(17+34)/2+(0.022/0.5738)*((34-17)/2*pi)^2

Evaluating ... ...

L_n = 105.003713386173

STEP 3: Convert Result to Output's Unit

105.003713386173 --> No Conversion Required

FINAL ANSWER

105.003713386173 ≈ 105.0037 <-- Number of Links in Chain

(Calculation completed in 00.006 seconds)

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Home » Physics » Design of Automobile Elements » Design of Chain Drives » Mechanical » Geometric Relationships for Chain » Number of Links in Chain

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Osmania University (OU), Hyderabad

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< Geometric Relationships for Chain Calculators

Pitch of chain given Pitch Circle Diameter

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

Number of Teeth on Sprocket given Pitch Circle Diameter

LaTeX Go Number of Teeth on Sprocket = 180*asin(Pitch of Chain/Pitch Circle Diameter of Sprocket)

Speed of Rotation of Driving Shaft given Velocity Ratio of Chain Drives

LaTeX Go Angular Speed of Chain Driving Shaft = Velocity Ratio of Chain Drive*Angular Speed of Chain Driven Shaft

Velocity Ratio of Chain Drives

LaTeX Go Velocity Ratio of Chain Drive = Angular Speed of Chain Driving Shaft/Angular Speed of Chain Driven Shaft

Number of Links in Chain Formula

LaTeX Go

What is Links in Chain Drive?

Links in a chain drive are the individual segments that make up the chain. Each link typically consists of two outer plates, two inner plates, pins, and bushings or rollers. These links are connected to form a flexible and continuous loop, allowing the chain to engage with sprockets and transmit motion and power efficiently.

How to Calculate Number of Links in Chain?

Number of Links in Chain calculator uses Number of Links in Chain = 2*(Centre Distance between Chain Pulleys/Pitch of Chain)+(Number of Teeth on Driving Sprocket+Number of Teeth on Driven Sprocket)/2+(Pitch of Chain/Centre Distance between Chain Pulleys)*((Number of Teeth on Driven Sprocket-Number of Teeth on Driving Sprocket)/2*pi)^2 to calculate the Number of Links in Chain, Number of Links in Chain formula is defined as a method to determine the total number of links required in a chain drive system, considering the center distance, pitch, and other parameters, to ensure efficient power transmission and minimize wear and tear on the system. Number of Links in Chain is denoted by L_n symbol.

How to calculate Number of Links in Chain using this online calculator? To use this online calculator for Number of Links in Chain, enter Centre Distance between Chain Pulleys (C), Pitch of Chain (P), Number of Teeth on Driving Sprocket (z₁) & Number of Teeth on Driven Sprocket (z₂) and hit the calculate button. Here is how the Number of Links in Chain calculation can be explained with given input values -> 104.118 = 2*(0.5738/0.022)+(17+34)/2+(0.022/0.5738)*((34-17)/2*pi)^2.

FAQ

What is Number of Links in Chain?

Number of Links in Chain formula is defined as a method to determine the total number of links required in a chain drive system, considering the center distance, pitch, and other parameters, to ensure efficient power transmission and minimize wear and tear on the system and is represented as L_n = 2*(C/P)+(z₁+z₂)/2+(P/C)*((z₂-z₁)/2*pi)^2 or Number of Links in Chain = 2*(Centre Distance between Chain Pulleys/Pitch of Chain)+(Number of Teeth on Driving Sprocket+Number of Teeth on Driven Sprocket)/2+(Pitch of Chain/Centre Distance between Chain Pulleys)*((Number of Teeth on Driven Sprocket-Number of Teeth on Driving Sprocket)/2*pi)^2. Centre Distance between Chain Pulleys is the distance between the centres of two pulleys in a chain drive system, affecting the chain's tension and motion, Pitch of Chain is the distance between two consecutive identical links measured along the direction of the chain's length, Number of Teeth on Driving Sprocket is the total count of teeth present on the driving sprocket in a chain drive system, affecting the overall gear ratio & Number of Teeth on Driven Sprocket is the total count of teeth on the driven sprocket in a chain drive system, which affects the overall gear ratio.

How to calculate Number of Links in Chain?

Number of Links in Chain formula is defined as a method to determine the total number of links required in a chain drive system, considering the center distance, pitch, and other parameters, to ensure efficient power transmission and minimize wear and tear on the system is calculated using Number of Links in Chain = 2*(Centre Distance between Chain Pulleys/Pitch of Chain)+(Number of Teeth on Driving Sprocket+Number of Teeth on Driven Sprocket)/2+(Pitch of Chain/Centre Distance between Chain Pulleys)*((Number of Teeth on Driven Sprocket-Number of Teeth on Driving Sprocket)/2*pi)^2. To calculate Number of Links in Chain, you need Centre Distance between Chain Pulleys (C), Pitch of Chain (P), Number of Teeth on Driving Sprocket (z₁) & Number of Teeth on Driven Sprocket (z₂). With our tool, you need to enter the respective value for Centre Distance between Chain Pulleys, Pitch of Chain, Number of Teeth on Driving Sprocket & Number of Teeth on Driven Sprocket 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 Number of Links in Chain?

In this formula, Number of Links in Chain uses Centre Distance between Chain Pulleys, Pitch of Chain, Number of Teeth on Driving Sprocket & Number of Teeth on Driven Sprocket. We can use 1 other way(s) to calculate the same, which is/are as follows -

Number of Links in Chain = Length of Chain/Pitch of Chain

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