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Number of Links in the Chain Solution

STEP 0: Pre-Calculation Summary
Formula Used
total_links = 2*(Center Distance/Pitch)+(Number of Teeth on Driving Sprocket+Number of Teeth on Driven Sprocket)/2+(Pitch/Center Distance)*((Number of Teeth on Driven Sprocket-Number of Teeth on Driving Sprocket)/2*pi)^2
l = 2*(C/P)+(z1+z2)/2+(P/C)*((z2-z1)/2*pi)^2
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Center Distance - Center Distance is the distance in between the centers of the big pulley and the small pulley. (Measured in Millimeter)
Pitch - Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch. (Measured in Meter)
Number of Teeth on Driving Sprocket- Number of Teeth on Driving Sprocket is the number of teeth that are present on the driving sprocket
Number of Teeth on Driven Sprocket- Number of Teeth on Driven Sprocket is the number of teeth that are present on the Driven sprocket
STEP 1: Convert Input(s) to Base Unit
Center Distance: 300 Millimeter --> 0.3 Meter (Check conversion here)
Pitch: 0.01 Meter --> 0.01 Meter No Conversion Required
Number of Teeth on Driving Sprocket: 30 --> No Conversion Required
Number of Teeth on Driven Sprocket: 30 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = 2*(C/P)+(z1+z2)/2+(P/C)*((z2-z1)/2*pi)^2 --> 2*(0.3/0.01)+(30+30)/2+(0.01/0.3)*((30-30)/2*pi)^2
Evaluating ... ...
l = 90
STEP 3: Convert Result to Output's Unit
90 --> No Conversion Required
FINAL ANSWER
90 <-- Number of links in a kinematic chain
(Calculation completed in 00.016 seconds)

10+ Design of Chain Drives Calculators

Number of Teeth on the Sprocket When Pitch Circle Diameter is Given
number_of_teeth = 180*(pi/180)*asin(Pitch Circle Diameter/Pitch) Go
Velocity Ratio of the Chain Drives
velocity_ratio = Angular speed of the driving member in rpm/Angular speed of the driven member in rpm Go
Number of Teeth on the Driven Sprocket When Velocity of the Chain Drives is Given
number_of_teeth_on_driven_sprocket = Number of Teeth on Driving Sprocket*Velocity ratio Go
Number of Teeth on Driving Sprocket When Velocity of the Chain Drives is Given
number_of_teeth_on_driving_sprocket = Number of Teeth on Driven Sprocket/Velocity ratio Go
Speed of Rotation of the Driving Shaft When Velocity Ratio of the Chain Drives is Given
angular_speed_driving_rpm = Velocity ratio*Angular speed of the driven member in rpm Go
Speed of Rotation of the Driven Shaft When Velocity Ratio of the Chain Drives is Given
angular_speed_driven_rpm = Angular speed of the driving member in rpm/Velocity ratio Go
Length of the Pitch When Pitch Circle Diameter is Given
pitch = Pitch Circle Diameter*sin(180/Number of teeth) Go
Pitch Circle Diameter in terms of Pitch
pitch_circle_diameter = Pitch/sin(180/Number of teeth) Go
Pitch Angle of the Sprocket
pitch_angle = 2*3.14/Number of teeth Go
Number of Teeth on the Sprocket When Pitch Angle of the Sprocket is Given
number_of_teeth = 360/Pitch Angle Go

Number of Links in the Chain Formula

total_links = 2*(Center Distance/Pitch)+(Number of Teeth on Driving Sprocket+Number of Teeth on Driven Sprocket)/2+(Pitch/Center Distance)*((Number of Teeth on Driven Sprocket-Number of Teeth on Driving Sprocket)/2*pi)^2
l = 2*(C/P)+(z1+z2)/2+(P/C)*((z2-z1)/2*pi)^2

Define a Chain Drive?

Chain drive is a way of transmitting mechanical power from one place to another. It is often used to convey power to the wheels of a vehicle, particularly bicycles and motorcycles. It is also used in a wide variety of machines besides vehicles.

How to Calculate Number of Links in the Chain?

Number of Links in the Chain calculator uses total_links = 2*(Center Distance/Pitch)+(Number of Teeth on Driving Sprocket+Number of Teeth on Driven Sprocket)/2+(Pitch/Center Distance)*((Number of Teeth on Driven Sprocket-Number of Teeth on Driving Sprocket)/2*pi)^2 to calculate the Number of links in a kinematic chain, The Number of links in the Chain formula is defined as the total number of links that are present on the chain in a chain drive. Number of links in a kinematic chain and is denoted by l symbol.

How to calculate Number of Links in the Chain using this online calculator? To use this online calculator for Number of Links in the Chain, enter Center Distance (C), Pitch (P), Number of Teeth on Driving Sprocket (z1) and Number of Teeth on Driven Sprocket (z2) and hit the calculate button. Here is how the Number of Links in the Chain calculation can be explained with given input values -> 90 = 2*(0.3/0.01)+(30+30)/2+(0.01/0.3)*((30-30)/2*pi)^2.

FAQ

What is Number of Links in the Chain?
The Number of links in the Chain formula is defined as the total number of links that are present on the chain in a chain drive and is represented as l = 2*(C/P)+(z1+z2)/2+(P/C)*((z2-z1)/2*pi)^2 or total_links = 2*(Center Distance/Pitch)+(Number of Teeth on Driving Sprocket+Number of Teeth on Driven Sprocket)/2+(Pitch/Center Distance)*((Number of Teeth on Driven Sprocket-Number of Teeth on Driving Sprocket)/2*pi)^2. Center Distance is the distance in between the centers of the big pulley and the small pulley, Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch, Number of Teeth on Driving Sprocket is the number of teeth that are present on the driving sprocket and Number of Teeth on Driven Sprocket is the number of teeth that are present on the Driven sprocket.
How to calculate Number of Links in the Chain?
The Number of links in the Chain formula is defined as the total number of links that are present on the chain in a chain drive is calculated using total_links = 2*(Center Distance/Pitch)+(Number of Teeth on Driving Sprocket+Number of Teeth on Driven Sprocket)/2+(Pitch/Center Distance)*((Number of Teeth on Driven Sprocket-Number of Teeth on Driving Sprocket)/2*pi)^2. To calculate Number of Links in the Chain, you need Center Distance (C), Pitch (P), Number of Teeth on Driving Sprocket (z1) and Number of Teeth on Driven Sprocket (z2). With our tool, you need to enter the respective value for Center Distance, Pitch, Number of Teeth on Driving Sprocket and 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 a kinematic chain?
In this formula, Number of links in a kinematic chain uses Center Distance, Pitch, Number of Teeth on Driving Sprocket and Number of Teeth on Driven Sprocket. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • pitch_angle = 2*3.14/Number of teeth
  • number_of_teeth = 360/Pitch Angle
  • pitch_circle_diameter = Pitch/sin(180/Number of teeth)
  • pitch = Pitch Circle Diameter*sin(180/Number of teeth)
  • number_of_teeth = 180*(pi/180)*asin(Pitch Circle Diameter/Pitch)
  • velocity_ratio = Angular speed of the driving member in rpm/Angular speed of the driven member in rpm
  • angular_speed_driving_rpm = Velocity ratio*Angular speed of the driven member in rpm
  • angular_speed_driven_rpm = Angular speed of the driving member in rpm/Velocity ratio
  • number_of_teeth_on_driving_sprocket = Number of Teeth on Driven Sprocket/Velocity ratio
  • number_of_teeth_on_driven_sprocket = Number of Teeth on Driving Sprocket*Velocity ratio
Where is the Number of Links in the Chain calculator used?
Among many, Number of Links in the Chain calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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