Length of Belt 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 Big Pulley is the distance from side to side of the flat of the Big pulley.ⓘ Diameter of Big Pulley [D]			+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%

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

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Length of Belt Solution

STEP 0: Pre-Calculation Summary

Formula Used

Belt Length = 2*Centre Distance between Pulleys+(pi*(Diameter of Big Pulley+Diameter of Small 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 Big Pulley - (Measured in Meter) - Diameter of Big Pulley is the distance from side to side of the flat of the Big 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.

STEP 1: Convert Input(s) to Base Unit

Centre Distance between Pulleys: 1575 Millimeter --> 1.575 Meter (Check conversion here)
Diameter of Big Pulley: 810 Millimeter --> 0.81 Meter (Check conversion here)
Diameter of Small Pulley: 270 Millimeter --> 0.27 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*(0.81+0.27)/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 00.020 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

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< Introduction of Belt Drives Calculators

Center Distance from Small Pulley to Big Pulley given Wrap Angle of Small Pulley

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

Wrap Angle for Small Pulley

LaTeX Go Wrap Angle on Small Pulley = 3.14-2*asin((Diameter of Big Pulley-Diameter of Small Pulley)/(2*Centre Distance between Pulleys))

Diameter of Small Pulley given Wrap Angle of Small Pulley

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

Diameter of Big Pulley given Wrap Angle of Small Pulley

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

Length of Belt Formula

LaTeX Go

Define Wrap Angle?

The wrap angle is defined as the angle between the run-up and run-off of the belt on the pulley. In addition, the greater curvature causes greater bending stresses in the belt, which also limits the transmittable belt force. So-called idler pulleys can be used to increase the wrap angle.

How to Calculate Length of Belt?

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

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

FAQ

What is Length of Belt?

Length of Belt formula is defined as a method to determine the total length of a belt required for a drive system, taking into account the center distance and the diameters of the pulleys involved in the design 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 Big Pulley+Diameter of Small 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 Big Pulley is the distance from side to side of the flat of the Big pulley & Diameter of Small Pulley is the distance from side to side of the flat of the Small pulley.

How to calculate Length of Belt?

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