Belt Length for Cross Belt Drive Calculator

✖Centre Distance between Pulleys is the distance between the centers of the big pulley and the small pulley.ⓘ Centre Distance between Pulleys [C]			+10% -10%
✖Diameter of Small Pulley is the distance from side to side of the flat of the Small pulley.ⓘ Diameter of Small Pulley [d]			+10% -10%
✖Diameter of Big Pulley is the distance from side to side of the flat of the Big pulley.ⓘ Diameter of Big Pulley [D]			+10% -10%

✖Belt Length is the length of the transmission belt that is used to transmit power from one pulley to the other.ⓘ Belt Length for Cross Belt Drive [L]

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Belt Length for Cross Belt Drive Solution

STEP 0: Pre-Calculation Summary

Formula Used

Belt Length = 2*Centre Distance between Pulleys+(pi*(Diameter of Small Pulley+Diameter of Big Pulley)/2)+(((Diameter of Big Pulley-Diameter of Small Pulley)^2)/(4*Centre Distance between Pulleys))
L = 2*C+(pi*(d+D)/2)+(((D-d)^2)/(4*C))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Belt Length - (Measured in Meter) - Belt Length is the length of the transmission belt that is used to transmit power from one pulley to the other.
Centre Distance between Pulleys - (Measured in Meter) - Centre Distance between Pulleys is the distance between the centers of the big pulley and the small pulley.
Diameter of Small Pulley - (Measured in Meter) - Diameter of Small Pulley is the distance from side to side of the flat of the Small pulley.
Diameter of Big Pulley - (Measured in Meter) - Diameter of Big Pulley is the distance from side to side of the flat of the Big pulley.

STEP 1: Convert Input(s) to Base Unit

Centre Distance between Pulleys: 1575 Millimeter --> 1.575 Meter (Check conversion here)
Diameter of Small Pulley: 270 Millimeter --> 0.27 Meter (Check conversion here)
Diameter of Big Pulley: 810 Millimeter --> 0.81 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = 2*C+(pi*(d+D)/2)+(((D-d)^2)/(4*C)) --> 2*1.575+(pi*(0.27+0.81)/2)+(((0.81-0.27)^2)/(4*1.575))

Evaluating ... ...

L = 4.8927457472242

STEP 3: Convert Result to Output's Unit

4.8927457472242 Meter -->4892.7457472242 Millimeter (Check conversion here)

FINAL ANSWER

4892.7457472242 ≈ 4892.746 Millimeter <-- Belt Length

(Calculation completed in 00.004 seconds)

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Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< Crossed Belt Drives Calculators

Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive

LaTeX Go Centre Distance between Pulleys = (Diameter of Big Pulley+Diameter of Small Pulley)/(2*sin((Wrap Angle for Cross Belt Drive-3.14)/2))

Wrap Angle for Small Pulley of Cross Belt Drive

LaTeX Go Wrap Angle for Cross Belt Drive = 3.14+2*asin((Diameter of Big Pulley+Diameter of Small Pulley)/(2*Centre Distance between Pulleys))

Diameter of Small Pulley given Wrap Angle for Small Pulley of Cross Belt Drive

LaTeX Go Diameter of Small Pulley = 2*Centre Distance between Pulleys*sin((Wrap Angle for Cross Belt Drive-3.14)/2)-Diameter of Big Pulley

Diameter of Big Pulley given Wrap Angle for Small Pulley of Cross Belt Drive

LaTeX Go Diameter of Big Pulley = 2*sin((Wrap Angle for Cross Belt Drive-3.14)/2)*Centre Distance between Pulleys-Diameter of Small Pulley

Belt Length for Cross Belt Drive Formula

LaTeX Go

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 Cross Belt Drive?

Belt Length for Cross Belt Drive calculator uses Belt Length = 2*Centre Distance between Pulleys+(pi*(Diameter of Small Pulley+Diameter of Big Pulley)/2)+(((Diameter of Big Pulley-Diameter of Small Pulley)^2)/(4*Centre Distance between Pulleys)) to calculate the Belt Length, Belt Length for Cross Belt Drive formula is defined as a method to calculate the total length of a belt required for a crossed belt drive system, considering the center distance and the diameters of the pulleys involved. Belt Length is denoted by L symbol.

How to calculate Belt Length for Cross Belt Drive using this online calculator? To use this online calculator for Belt Length for Cross Belt Drive, enter Centre Distance between Pulleys (C), Diameter of Small Pulley (d) & Diameter of Big Pulley (D) and hit the calculate button. Here is how the Belt Length for Cross Belt Drive calculation can be explained with given input values -> 4.9E+6 = 2*1.575+(pi*(0.27+0.81)/2)+(((0.81-0.27)^2)/(4*1.575)).

FAQ

What is Belt Length for Cross Belt Drive?

Belt Length for Cross Belt Drive formula is defined as a method to calculate the total length of a belt required for a crossed belt drive system, considering the center distance and the diameters of the pulleys involved and is represented as L = 2*C+(pi*(d+D)/2)+(((D-d)^2)/(4*C)) or Belt Length = 2*Centre Distance between Pulleys+(pi*(Diameter of Small Pulley+Diameter of Big Pulley)/2)+(((Diameter of Big Pulley-Diameter of Small Pulley)^2)/(4*Centre Distance between Pulleys)). Centre Distance between Pulleys is the distance 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 & Diameter of Big Pulley is the distance from side to side of the flat of the Big pulley.

How to calculate Belt Length for Cross Belt Drive?

Belt Length for Cross Belt Drive formula is defined as a method to calculate the total length of a belt required for a crossed belt drive system, considering the center distance and the diameters of the pulleys involved is calculated using Belt Length = 2*Centre Distance between Pulleys+(pi*(Diameter of Small Pulley+Diameter of Big Pulley)/2)+(((Diameter of Big Pulley-Diameter of Small Pulley)^2)/(4*Centre Distance between Pulleys)). To calculate Belt Length for Cross Belt Drive, you need Centre Distance between Pulleys (C), Diameter of Small Pulley (d) & Diameter of Big Pulley (D). With our tool, you need to enter the respective value for Centre Distance between Pulleys, Diameter of Small Pulley & 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.

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