Distance from Center of Drum to Pivoted Shoe Calculator

✖The Radius of Brake Drum is any of the line segments from the brake drum's center to its circumference.ⓘ Radius of Brake Drum [r]			+10% -10%
✖Semi-Block Angle is one-half of the total angle of the contacting surface of the block with the drum.ⓘ Semi-Block Angle [θ_w]			+10% -10%

✖Distance From Center of Drum to Pivot is the Distance from the center of the brake drum to the pivoted end.ⓘ Distance from Center of Drum to Pivoted Shoe [h]

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Distance from Center of Drum to Pivoted Shoe Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
h = 4*r*sin(θ_w)/(2*θ_w+sin(2*θ_w))
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

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.
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.
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

Radius of Brake Drum: 300 Millimeter --> 0.3 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

h = 4*r*sin(θ_w)/(2*θ_w+sin(2*θ_w)) --> 4*0.3*sin(0.87)/(2*0.87+sin(2*0.87))

Evaluating ... ...

h = 0.336496412232179

STEP 3: Convert Result to Output's Unit

0.336496412232179 Meter -->336.496412232179 Millimeter (Check conversion here)

FINAL ANSWER

336.496412232179 ≈ 336.4964 Millimeter <-- Distance From Center of Drum to Pivot

(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!

< Block Brake Calculators

Actual Coefficient of Friction given Equivalent Coefficient of Friction

LaTeX 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

LaTeX Go Equivalent Coefficient of Friction = Coefficient of Friction For Brake*((4*sin(Semi-Block Angle))/(2*Semi-Block Angle+sin(2*Semi-Block Angle)))

Coefficient of Friction given Braking Torque

LaTeX Go Coefficient of Friction For Brake = Braking or Fixing Torque on Fixed Member/(Normal Reaction on Brake*Radius of Brake Drum)

Braking Torque when Brakes are Applied

LaTeX Go Braking or Fixing Torque on Fixed Member = Coefficient of Friction For Brake*Normal Reaction on Brake*Radius of Brake Drum

Distance from Center of Drum to Pivoted Shoe Formula

LaTeX 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))
h = 4*r*sin(θ_w)/(2*θ_w+sin(2*θ_w))

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 Distance from Center of Drum to Pivoted Shoe?

Distance from Center of Drum to Pivoted Shoe calculator uses 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)) to calculate the Distance From Center of Drum to Pivot, The Distance from Center of Drum to Pivoted Shoe formula is defined as the distance of the pivoted end of the shoe from the center of the drum. Distance From Center of Drum to Pivot is denoted by h symbol.

How to calculate Distance from Center of Drum to Pivoted Shoe using this online calculator? To use this online calculator for Distance from Center of Drum to Pivoted Shoe, enter Radius of Brake Drum (r) & Semi-Block Angle (θ_w) and hit the calculate button. Here is how the Distance from Center of Drum to Pivoted Shoe calculation can be explained with given input values -> 336496.4 = 4*0.3*sin(0.87)/(2*0.87+sin(2*0.87)).

FAQ

What is Distance from Center of Drum to Pivoted Shoe?

The Distance from Center of Drum to Pivoted Shoe formula is defined as the distance of the pivoted end of the shoe from the center of the drum and is represented as h = 4*r*sin(θ_w)/(2*θ_w+sin(2*θ_w)) or 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)). The Radius of Brake Drum is any of the line segments from the brake drum's center to its circumference & Semi-Block Angle is one-half of the total angle of the contacting surface of the block with the drum.

How to calculate Distance from Center of Drum to Pivoted Shoe?

The Distance from Center of Drum to Pivoted Shoe formula is defined as the distance of the pivoted end of the shoe from the center of the drum is calculated using 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)). To calculate Distance from Center of Drum to Pivoted Shoe, you need Radius of Brake Drum (r) & Semi-Block Angle (θ_w). With our tool, you need to enter the respective value for Radius of Brake Drum & Semi-Block Angle 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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