Tension in Tight Side for Band and Block Brake Solution

STEP 0: Pre-Calculation Summary
Formula Used
Tension in Tight Side of the Band = Tension in band between the first and second block*(1+Coefficient of Friction for Brake*sin(Angle of Contact/2))/(1-Coefficient of Friction for Brake*sin(Angle of Contact/2))
T1 = T'*(1+μbrake*sin(θcontact/2))/(1-μbrake*sin(θcontact/2))
This formula uses 1 Functions, 4 Variables
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Tension in Tight Side of the Band - (Measured in Newton) - Tension in tight side of the band is described as the pulling force transmitted axially by the means of a string, a cable, chain etc.
Tension in band between the first and second block - (Measured in Newton) - Tension in band between the first and second block is a pulling force that acts along the length of the band.
Coefficient of Friction for Brake - Coefficient of Friction for Brake is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
Angle of Contact - (Measured in Radian) - The angle of contact is the angle subtended by the belt on the pulley.
STEP 1: Convert Input(s) to Base Unit
Tension in band between the first and second block: 20 Newton --> 20 Newton No Conversion Required
Coefficient of Friction for Brake: 0.35 --> No Conversion Required
Angle of Contact: 0.17 Radian --> 0.17 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T1 = T'*(1+μbrake*sin(θcontact/2))/(1-μbrake*sin(θcontact/2)) --> 20*(1+0.35*sin(0.17/2))/(1-0.35*sin(0.17/2))
Evaluating ... ...
T1 = 21.2249664436352
STEP 3: Convert Result to Output's Unit
21.2249664436352 Newton --> No Conversion Required
FINAL ANSWER
21.2249664436352 21.22497 Newton <-- Tension in Tight Side of the Band
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Indian Institute of Information Technology (IIIT), Guwahati
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5 Brake Calculators

Tension in Band between First and Second Block for Band and Block Brake
Go Tension in band between the first and second block = Tension in Tight Side of the Band*(1-Coefficient of Friction for Brake*sin(Angle of Contact/2))/(1+Coefficient of Friction for Brake*sin(Angle of Contact/2))
Tension in Tight Side for Band and Block Brake
Go Tension in Tight Side of the Band = Tension in band between the first and second block*(1+Coefficient of Friction for Brake*sin(Angle of Contact/2))/(1-Coefficient of Friction for Brake*sin(Angle of Contact/2))
Tension in Tight Side of Band for Simple Band Brake
Go Tension in Tight Side of the Band = Tension in the slack side of band*e^(Coefficient of Friction for Brake*Angle of lap of band on the drum)
Tension in Tight Side of Band for Simple Band Brake given Permissible Tensile Stress
Go Tension in Tight Side of the Band = Permissible tensile strength*Width of Band*Thickness of Band
Effective Radius of Drum for Simple Band Brake
Go Effective radius of the drum = Radius of the drum+Thickness of Band/2

Tension in Tight Side for Band and Block Brake Formula

Tension in Tight Side of the Band = Tension in band between the first and second block*(1+Coefficient of Friction for Brake*sin(Angle of Contact/2))/(1-Coefficient of Friction for Brake*sin(Angle of Contact/2))
T1 = T'*(1+μbrake*sin(θcontact/2))/(1-μbrake*sin(θcontact/2))

What is band and block brake?

The band brake may be lined with blocks of wood or other material forms band and block brake. The friction between the blocks and the drum provides braking action.

How to Calculate Tension in Tight Side for Band and Block Brake?

Tension in Tight Side for Band and Block Brake calculator uses Tension in Tight Side of the Band = Tension in band between the first and second block*(1+Coefficient of Friction for Brake*sin(Angle of Contact/2))/(1-Coefficient of Friction for Brake*sin(Angle of Contact/2)) to calculate the Tension in Tight Side of the Band, The Tension in tight side for band and block brake formula is defined as the pulling force that acts along the lengths of the band. Tension in Tight Side of the Band is denoted by T1 symbol.

How to calculate Tension in Tight Side for Band and Block Brake using this online calculator? To use this online calculator for Tension in Tight Side for Band and Block Brake, enter Tension in band between the first and second block (T'), Coefficient of Friction for Brake brake) & Angle of Contact contact) and hit the calculate button. Here is how the Tension in Tight Side for Band and Block Brake calculation can be explained with given input values -> 21.22497 = 20*(1+0.35*sin(0.17/2))/(1-0.35*sin(0.17/2)).

FAQ

What is Tension in Tight Side for Band and Block Brake?
The Tension in tight side for band and block brake formula is defined as the pulling force that acts along the lengths of the band and is represented as T1 = T'*(1+μbrake*sin(θcontact/2))/(1-μbrake*sin(θcontact/2)) or Tension in Tight Side of the Band = Tension in band between the first and second block*(1+Coefficient of Friction for Brake*sin(Angle of Contact/2))/(1-Coefficient of Friction for Brake*sin(Angle of Contact/2)). Tension in band between the first and second block is a pulling force that acts along the length of the band, Coefficient of Friction for Brake is the ratio defining the force that resists the motion of one body in relation to another body in contact with it & The angle of contact is the angle subtended by the belt on the pulley.
How to calculate Tension in Tight Side for Band and Block Brake?
The Tension in tight side for band and block brake formula is defined as the pulling force that acts along the lengths of the band is calculated using Tension in Tight Side of the Band = Tension in band between the first and second block*(1+Coefficient of Friction for Brake*sin(Angle of Contact/2))/(1-Coefficient of Friction for Brake*sin(Angle of Contact/2)). To calculate Tension in Tight Side for Band and Block Brake, you need Tension in band between the first and second block (T'), Coefficient of Friction for Brake brake) & Angle of Contact contact). With our tool, you need to enter the respective value for Tension in band between the first and second block, Coefficient of Friction for Brake & Angle of Contact 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 Tension in Tight Side of the Band?
In this formula, Tension in Tight Side of the Band uses Tension in band between the first and second block, Coefficient of Friction for Brake & Angle of Contact. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Tension in Tight Side of the Band = Permissible tensile strength*Width of Band*Thickness of Band
  • Tension in Tight Side of the Band = Tension in the slack side of band*e^(Coefficient of Friction for Brake*Angle of lap of band on the drum)
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