Initial Tension in Belt Calculator

✖Tension in tight side of belt is described as the pulling force transmitted axially by the means of a string, a cable, chain, or similar one-dimensional continuous object.ⓘ Tension in Tight Side of Belt [T₁]			+10% -10%
✖Tension in slack side of belt is described as the pulling force transmitted axially by the means of a string, a cable, chain, or similar one-dimensional continuous object.ⓘ Tension in Slack Side of Belt [T₂]			+10% -10%
✖Centrifugal tension of belt is the tension caused by centrifugal force.ⓘ Centrifugal Tension of Belt [T_c]			+10% -10%

✖The initial tension of belt is determined by measuring the force to deflect the belt at a given distance per inch of the pulley.ⓘ Initial Tension in Belt [T_o]

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Formula

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Initial Tension in Belt

Formula

`"T"_{"o"} = ("T"_{"1"}+"T"_{"2"}+2*"T"_{"c"})/2`

Example

`"29.01N"=("22N"+"11N"+2*"12.51N")/2`

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Initial Tension in Belt Solution

STEP 0: Pre-Calculation Summary

Formula Used

Initial Tension of Belt = (Tension in Tight Side of Belt+Tension in Slack Side of Belt+2*Centrifugal Tension of Belt)/2
T_o = (T₁+T₂+2*T_c)/2
This formula uses 4 Variables

Variables Used

Initial Tension of Belt - (Measured in Newton) - The initial tension of belt is determined by measuring the force to deflect the belt at a given distance per inch of the pulley.
Tension in Tight Side of Belt - (Measured in Newton) - Tension in tight side of belt is described as the pulling force transmitted axially by the means of a string, a cable, chain, or similar one-dimensional continuous object.
Tension in Slack Side of Belt - (Measured in Newton) - Tension in slack side of belt is described as the pulling force transmitted axially by the means of a string, a cable, chain, or similar one-dimensional continuous object.
Centrifugal Tension of Belt - (Measured in Newton) - Centrifugal tension of belt is the tension caused by centrifugal force.

STEP 1: Convert Input(s) to Base Unit

Tension in Tight Side of Belt: 22 Newton --> 22 Newton No Conversion Required
Tension in Slack Side of Belt: 11 Newton --> 11 Newton No Conversion Required
Centrifugal Tension of Belt: 12.51 Newton --> 12.51 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_o = (T₁+T₂+2*T_c)/2 --> (22+11+2*12.51)/2

Evaluating ... ...

T_o = 29.01

STEP 3: Convert Result to Output's Unit

29.01 Newton --> No Conversion Required

FINAL ANSWER

29.01 Newton <-- Initial Tension of Belt

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 20 Belt Drive Calculators

Length of Open Belt Drive

Go Total Length of Belt = pi*(Radii of Smaller Pulley+Radii of Larger Pulley)+2*Distance Between Centers of Two Pulleys+((Radii of Larger Pulley-Radii of Smaller Pulley)^2)/Distance Between Centers of Two Pulleys

Cross Belt Drive Length

Go Length Belt Drive = pi*(Radii of Smaller Pulley+Radii of Larger Pulley)+2*Distance Between Centers of Two Pulleys+(Radii of Smaller Pulley+Radii of Larger Pulley)^2/Distance Between Centers of Two Pulleys

Frictional Force in V Belt Drive

Go Force of Friction = Coefficient of Friction b/w Belt & Sides of Groove*Total Reaction in Plane of Groove*cosec(Angle of Groove/2)

Relation between Pitch and Pitch Circle Diameter of Chain Drive

Go Pitch Circle Diameter of Gear = Pitch of Chain Drive*cosec((180*pi/180)/Number of Teeth on Sprocket)

Angle Made by Belt with Vertical Axis for Cross Belt Drive

Go Angle made by Belt with Vertical Axis = (Radii of Smaller Pulley+Radii of Larger Pulley)/Distance Between Centers of Two Pulleys

Angle Made by Belt with Vertical Axis for Open Belt Drive

Go Angle made by Belt with Vertical Axis = (Radii of Larger Pulley-Radii of Smaller Pulley)/Distance Between Centers of Two Pulleys

Initial Tension in Belt

Go Initial Tension of Belt = (Tension in Tight Side of Belt+Tension in Slack Side of Belt+2*Centrifugal Tension of Belt)/2

Normal Reaction between Belt and Sides of Groove

Go Normal Reaction between Belt and Sides of Groove = Total Reaction in Plane of Groove/(2*sin(Angle of Groove/2))

Torque Exerted on Driven Pulley

Go Torque Exerted on Pulley = (Tension in Tight Side of Belt-Tension in Slack Side of Belt)*Diameter of Follower/2

Torque Exerted on Driving Pulley

Go Torque Exerted on Pulley = (Tension in Tight Side of Belt-Tension in Slack Side of Belt)*Diameter of Driver/2

Power Transmitted by Belt

Go Power Transmitted = (Tension in Tight Side of Belt-Tension in Slack Side of Belt)*Velocity of Belt

Velocity for Transmission of Maximum Power by Belt

Go Velocity of Belt = sqrt(Maximum Tension of Belt/(3*Mass of Belt per Unit Length))

Length of Belt that Passes over Follower

Go Length of Belt over Follower = pi*Speed of Follower*Diameter of Follower Pulley

Length of Belt that Passes over Driver

Go Length of Belt over Driver = pi*Diameter of Driver Pulley*Speed of Driver

Maximum Tension of Belt

Go Maximum Tension of Belt = Maximum Safe Stress*Belt Width*Belt Thickness

Total Percentage Slip in Belt

Go Total Percentage of Slip = Slip between Driver and Belt+Slip between Belt and Follower

Centrifugal Tension in Belt

Go Centrifugal Tension of Belt = Mass of Belt per Unit Length*Velocity of Belt

Angle of Contact for Cross Belt Drive

Go Angle of Contact = 180*pi/180+2*Angle made by Belt with Vertical Axis

Angle of Contact for Open Belt Drive

Go Angle of Contact = 180*pi/180-2*Angle made by Belt with Vertical Axis

Maximum Tension for Transmission of Maximum Power by Belt

Go Maximum Tension of Belt = 3*Centrifugal Tension of Belt

Initial Tension in Belt Formula

Initial Tension of Belt = (Tension in Tight Side of Belt+Tension in Slack Side of Belt+2*Centrifugal Tension of Belt)/2
T_o = (T₁+T₂+2*T_c)/2

What is initial tension in belt drive?

The tension in the belt which is passing over the two pulleys i.e driver and follower when the pulleys are stationary is known as initial tension in the belt.

How to Calculate Initial Tension in Belt?

Initial Tension in Belt calculator uses Initial Tension of Belt = (Tension in Tight Side of Belt+Tension in Slack Side of Belt+2*Centrifugal Tension of Belt)/2 to calculate the Initial Tension of Belt, Initial Tension in Belt is the tension in the belt which is passing over the two pulleys i.e driver and follower when the pulleys are stationary is known as initial tension in the belt. Initial Tension of Belt is denoted by T_o symbol.

How to calculate Initial Tension in Belt using this online calculator? To use this online calculator for Initial Tension in Belt, enter Tension in Tight Side of Belt (T₁), Tension in Slack Side of Belt (T₂) & Centrifugal Tension of Belt (T_c) and hit the calculate button. Here is how the Initial Tension in Belt calculation can be explained with given input values -> 29.01 = (22+11+2*12.51)/2.

FAQ

What is Initial Tension in Belt?

Initial Tension in Belt is the tension in the belt which is passing over the two pulleys i.e driver and follower when the pulleys are stationary is known as initial tension in the belt and is represented as T_o = (T₁+T₂+2*T_c)/2 or Initial Tension of Belt = (Tension in Tight Side of Belt+Tension in Slack Side of Belt+2*Centrifugal Tension of Belt)/2. Tension in tight side of belt is described as the pulling force transmitted axially by the means of a string, a cable, chain, or similar one-dimensional continuous object, Tension in slack side of belt is described as the pulling force transmitted axially by the means of a string, a cable, chain, or similar one-dimensional continuous object & Centrifugal tension of belt is the tension caused by centrifugal force.

How to calculate Initial Tension in Belt?

Initial Tension in Belt is the tension in the belt which is passing over the two pulleys i.e driver and follower when the pulleys are stationary is known as initial tension in the belt is calculated using Initial Tension of Belt = (Tension in Tight Side of Belt+Tension in Slack Side of Belt+2*Centrifugal Tension of Belt)/2. To calculate Initial Tension in Belt, you need Tension in Tight Side of Belt (T₁), Tension in Slack Side of Belt (T₂) & Centrifugal Tension of Belt (T_c). With our tool, you need to enter the respective value for Tension in Tight Side of Belt, Tension in Slack Side of Belt & Centrifugal Tension of Belt 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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