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Belt Length for a Cross Belt Drive Solution

STEP 0: Pre-Calculation Summary
Formula Used
belt_length = 2*Center Distance+(pi*(Diameter of Small Pulley+Diameter of Big Pulley)/2)+((Diameter of Small Pulley+Diameter of Big Pulley)^2/4*Center Distance)
B = 2*C+(pi*(d+D)/2)+((d+D)^2/4*C)
This formula uses 1 Constants, 3 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)
Diameter of Small Pulley - Diameter of Small Pulley is the distance from side to side of the flat of the Small pulley. (Measured in Millimeter)
Diameter of Big Pulley - Diameter of Big Pulley is the distance from side to side of the flat of the Big pulley. (Measured in Millimeter)
STEP 1: Convert Input(s) to Base Unit
Center Distance: 300 Millimeter --> 0.3 Meter (Check conversion here)
Diameter of Small Pulley: 50 Millimeter --> 0.05 Meter (Check conversion here)
Diameter of Big Pulley: 100 Millimeter --> 0.1 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
B = 2*C+(pi*(d+D)/2)+((d+D)^2/4*C) --> 2*0.3+(pi*(0.05+0.1)/2)+((0.05+0.1)^2/4*0.3)
Evaluating ... ...
B = 0.837306949019234
STEP 3: Convert Result to Output's Unit
0.837306949019234 Meter -->837.306949019234 Millimeter (Check conversion here)
FINAL ANSWER
837.306949019234 Millimeter <-- Belt Length
(Calculation completed in 00.016 seconds)

6 Crossed Belt Drives Calculators

Belt Length for a Cross Belt Drive
belt_length = 2*Center Distance+(pi*(Diameter of Small Pulley+Diameter of Big Pulley)/2)+((Diameter of Small Pulley+Diameter of Big Pulley)^2/4*Center Distance) Go
Center Distance When Wrap Angle for Small Pulley of Cross Belt Drive is Given
center_distance = (Diameter of Big Pulley+Diameter of Small Pulley)/(2*sin((Wrap Angle for Small Pulley-3.14)/2)) Go
Wrap Angle for Small Pulley of Cross Belt Drive
wrap_angle_for_small_pulley = 3.14+2*asin((Diameter of Big Pulley+Diameter of Small Pulley)/2*Center Distance) Go
Diameter of Small Pulley When Wrap Angle for Small Pulley of Cross Belt Drive is Given
diameter_of_small_pulley = 2*Center Distance*sin((Wrap Angle for Small Pulley-3.14)/2)-Diameter of Big Pulley Go
Diameter of Big Pulley When Wrap Angle for Small Pulley of Cross Belt Drive is Given
diameter_of_big_pulley = 2*sin((Wrap Angle for Small Pulley-3.14)/2)*Center Distance-Diameter of Small Pulley Go
Wrap Angle for the Big Pulley of Cross Belt Drive
wrap_angle_for_big_pulley = 1*Wrap Angle for Small Pulley Go

Belt Length for a Cross Belt Drive Formula

belt_length = 2*Center Distance+(pi*(Diameter of Small Pulley+Diameter of Big Pulley)/2)+((Diameter of Small Pulley+Diameter of Big Pulley)^2/4*Center Distance)
B = 2*C+(pi*(d+D)/2)+((d+D)^2/4*C)

Applications of Belt Drives?

A belt drive is used to transfer power. The belt drive is used in the Mill industry. The belt drive is used in Conveyor.

How to Calculate Belt Length for a Cross Belt Drive?

Belt Length for a Cross Belt Drive calculator uses belt_length = 2*Center Distance+(pi*(Diameter of Small Pulley+Diameter of Big Pulley)/2)+((Diameter of Small Pulley+Diameter of Big Pulley)^2/4*Center Distance) to calculate the Belt Length, The Belt Length for a Cross Belt Drive formula is defined as the pitch length is measured at the pitch diameter of the sheaves. Both effective length and pitch length are measured with the belt tensioned by a specified amount. Belt Length and is denoted by B symbol.

How to calculate Belt Length for a Cross Belt Drive using this online calculator? To use this online calculator for Belt Length for a Cross Belt Drive, enter Center Distance (C), Diameter of Small Pulley (d) and Diameter of Big Pulley (D) and hit the calculate button. Here is how the Belt Length for a Cross Belt Drive calculation can be explained with given input values -> 837.3069 = 2*0.3+(pi*(0.05+0.1)/2)+((0.05+0.1)^2/4*0.3).

FAQ

What is Belt Length for a Cross Belt Drive?
The Belt Length for a Cross Belt Drive formula is defined as the pitch length is measured at the pitch diameter of the sheaves. Both effective length and pitch length are measured with the belt tensioned by a specified amount and is represented as B = 2*C+(pi*(d+D)/2)+((d+D)^2/4*C) or belt_length = 2*Center Distance+(pi*(Diameter of Small Pulley+Diameter of Big Pulley)/2)+((Diameter of Small Pulley+Diameter of Big Pulley)^2/4*Center Distance). Center Distance is the distance in between the centers of the big pulley and the small pulley, Diameter of Small Pulley is the distance from side to side of the flat of the Small pulley and Diameter of Big Pulley is the distance from side to side of the flat of the Big pulley.
How to calculate Belt Length for a Cross Belt Drive?
The Belt Length for a Cross Belt Drive formula is defined as the pitch length is measured at the pitch diameter of the sheaves. Both effective length and pitch length are measured with the belt tensioned by a specified amount is calculated using belt_length = 2*Center Distance+(pi*(Diameter of Small Pulley+Diameter of Big Pulley)/2)+((Diameter of Small Pulley+Diameter of Big Pulley)^2/4*Center Distance). To calculate Belt Length for a Cross Belt Drive, you need Center Distance (C), Diameter of Small Pulley (d) and Diameter of Big Pulley (D). With our tool, you need to enter the respective value for Center Distance, Diameter of Small Pulley and Diameter of Big Pulley 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 Belt Length?
In this formula, Belt Length uses Center Distance, Diameter of Small Pulley and Diameter of Big Pulley. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • wrap_angle_for_small_pulley = 3.14+2*asin((Diameter of Big Pulley+Diameter of Small Pulley)/2*Center Distance)
  • center_distance = (Diameter of Big Pulley+Diameter of Small Pulley)/(2*sin((Wrap Angle for Small Pulley-3.14)/2))
  • diameter_of_small_pulley = 2*Center Distance*sin((Wrap Angle for Small Pulley-3.14)/2)-Diameter of Big Pulley
  • diameter_of_big_pulley = 2*sin((Wrap Angle for Small Pulley-3.14)/2)*Center Distance-Diameter of Small Pulley
  • wrap_angle_for_big_pulley = 1*Wrap Angle for Small Pulley
  • belt_length = 2*Center Distance+(pi*(Diameter of Small Pulley+Diameter of Big Pulley)/2)+((Diameter of Small Pulley+Diameter of Big Pulley)^2/4*Center Distance)
Where is the Belt Length for a Cross Belt Drive calculator used?
Among many, Belt Length for a Cross Belt Drive calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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