Radius of Drum given Distance from Center of Drum to Pivoted Shoe Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Brake Drum = Distance from Center of Drum to Pivot*(2*Semi-Block Angle+sin(2*Semi-Block Angle))/(4*sin(Semi-Block Angle))
r = h*(2*θblock+sin(2*θblock))/(4*sin(θblock))
This formula uses 1 Functions, 3 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
Radius of Brake Drum - (Measured in Meter) - The Radius of Brake Drum is any of the line segments from the brake drum's center to its circumference.
Distance from Center of Drum to Pivot - (Measured in Meter) - Distance from Center of Drum to Pivot is the Distance from the center of the brake drum to the pivoted end.
Semi-Block Angle - (Measured in Radian) - Semi-Block Angle is one-half of the total angle of the contacting surface of the block with the drum.
STEP 1: Convert Input(s) to Base Unit
Distance from Center of Drum to Pivot: 265 Millimeter --> 0.265 Meter (Check conversion here)
Semi-Block Angle: 0.87 Radian --> 0.87 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = h*(2*θblock+sin(2*θblock))/(4*sin(θblock)) --> 0.265*(2*0.87+sin(2*0.87))/(4*sin(0.87))
Evaluating ... ...
r = 0.23625809105253
STEP 3: Convert Result to Output's Unit
0.23625809105253 Meter -->236.25809105253 Millimeter (Check conversion here)
FINAL ANSWER
236.25809105253 236.2581 Millimeter <-- Radius of Brake Drum
(Calculation completed in 00.020 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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12 Block Brake Calculators

Actual Coefficient of Friction given Equivalent Coefficient of Friction
Go Coefficient of Friction for Brake = Equivalent Coefficient of Friction/((4*sin(Semi-Block Angle))/(2*Semi-Block Angle+sin(2*Semi-Block Angle)))
Equivalent Coefficient of Friction in Block Brake with Long Shoe
Go Equivalent Coefficient of Friction = Coefficient of Friction for Brake*((4*sin(Semi-Block Angle))/(2*Semi-Block Angle+sin(2*Semi-Block Angle)))
Radius of Drum given Distance from Center of Drum to Pivoted Shoe
Go Radius of Brake Drum = Distance from Center of Drum to Pivot*(2*Semi-Block Angle+sin(2*Semi-Block Angle))/(4*sin(Semi-Block Angle))
Distance from Center of Drum to Pivoted Shoe
Go Distance from Center of Drum to Pivot = 4*Radius of Brake Drum*sin(Semi-Block Angle)/(2*Semi-Block Angle+sin(2*Semi-Block Angle))
Coefficient of Friction given Braking Torque
Go Coefficient of Friction for Brake = Braking or Fixing Torque on Fixed Member/(Normal Reaction on Brake*Radius of Brake Drum)
Normal Reaction Force given Braking Torque
Go Normal Reaction on Brake = Braking or Fixing Torque on Fixed Member/(Coefficient of Friction for Brake*Radius of Brake Drum)
Radius of Drum Brake given Braking Torque
Go Radius of Brake Drum = Braking or Fixing Torque on Fixed Member/(Coefficient of Friction for Brake*Normal Reaction on Brake)
Braking Torque when Brakes are Applied
Go Braking or Fixing Torque on Fixed Member = Coefficient of Friction for Brake*Normal Reaction on Brake*Radius of Brake Drum
Width of Block given Normal Reaction Force
Go Width of Brake Block Shoe = Normal Reaction on Brake/(Pressure Between Block and Brake Drum*Length of Block of Brake)
Length of Block given Normal Reaction
Go Length of Block of Brake = Normal Reaction on Brake/(Width of Brake Block Shoe*Pressure Between Block and Brake Drum)
Permissible Pressure between Block and Brake Drum given Normal Reaction
Go Pressure Between Block and Brake Drum = Normal Reaction on Brake/Length of Block of Brake*Width of Brake Block Shoe
Normal Reaction Force
Go Normal Reaction on Brake = Pressure Between Block and Brake Drum*Length of Block of Brake*Width of Brake Block Shoe

Radius of Drum given Distance from Center of Drum to Pivoted Shoe Formula

Radius of Brake Drum = Distance from Center of Drum to Pivot*(2*Semi-Block Angle+sin(2*Semi-Block Angle))/(4*sin(Semi-Block Angle))
r = h*(2*θblock+sin(2*θblock))/(4*sin(θblock))

Use of Pivoted Shoe Brakes?

Pivoted shoe brakes are mainly used in hoists and cranes. The applications of these brakes are limited because of the physical problem in locating a pivot so close to the drum surface.

How to Calculate Radius of Drum given Distance from Center of Drum to Pivoted Shoe?

Radius of Drum given Distance from Center of Drum to Pivoted Shoe calculator uses Radius of Brake Drum = Distance from Center of Drum to Pivot*(2*Semi-Block Angle+sin(2*Semi-Block Angle))/(4*sin(Semi-Block Angle)) to calculate the Radius of Brake Drum, The Radius of Drum given Distance from Center of Drum to Pivoted Shoe formula is defined as radius of brake drum which we are using in pivoted block brake with long shoe. Radius of Brake Drum is denoted by r symbol.

How to calculate Radius of Drum given Distance from Center of Drum to Pivoted Shoe using this online calculator? To use this online calculator for Radius of Drum given Distance from Center of Drum to Pivoted Shoe, enter Distance from Center of Drum to Pivot (h) & Semi-Block Angle block) and hit the calculate button. Here is how the Radius of Drum given Distance from Center of Drum to Pivoted Shoe calculation can be explained with given input values -> 236258.1 = 0.265*(2*0.87+sin(2*0.87))/(4*sin(0.87)).

FAQ

What is Radius of Drum given Distance from Center of Drum to Pivoted Shoe?
The Radius of Drum given Distance from Center of Drum to Pivoted Shoe formula is defined as radius of brake drum which we are using in pivoted block brake with long shoe and is represented as r = h*(2*θblock+sin(2*θblock))/(4*sin(θblock)) or Radius of Brake Drum = Distance from Center of Drum to Pivot*(2*Semi-Block Angle+sin(2*Semi-Block Angle))/(4*sin(Semi-Block Angle)). Distance from Center of Drum to Pivot is the Distance from the center of the brake drum to the pivoted end & Semi-Block Angle is one-half of the total angle of the contacting surface of the block with the drum.
How to calculate Radius of Drum given Distance from Center of Drum to Pivoted Shoe?
The Radius of Drum given Distance from Center of Drum to Pivoted Shoe formula is defined as radius of brake drum which we are using in pivoted block brake with long shoe is calculated using Radius of Brake Drum = Distance from Center of Drum to Pivot*(2*Semi-Block Angle+sin(2*Semi-Block Angle))/(4*sin(Semi-Block Angle)). To calculate Radius of Drum given Distance from Center of Drum to Pivoted Shoe, you need Distance from Center of Drum to Pivot (h) & Semi-Block Angle block). With our tool, you need to enter the respective value for Distance from Center of Drum to Pivot & Semi-Block Angle 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 Radius of Brake Drum?
In this formula, Radius of Brake Drum uses Distance from Center of Drum to Pivot & Semi-Block Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Radius of Brake Drum = Braking or Fixing Torque on Fixed Member/(Coefficient of Friction for Brake*Normal Reaction on Brake)
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