Mean Lining Pressure of Brake Lining Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Lining Pressure = (180/(8*pi))*(Brake Drum Braking Force*Effective Wheel Radius)/(Friction Coefficient between Drum and Shoe*Brake Drum Radius^2*Brake Lining Width*Angle between Linings of Brake Shoes)
mlp = (180/(8*pi))*(F*r)/(μf*rBD^2*w*α)
This formula uses 1 Constants, 7 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Mean Lining Pressure - (Measured in Pascal) - Mean Lining Pressure is the pressure developed on the brake linings due to the number of forces like normal and actuating forces that act on it during braking operation.
Brake Drum Braking Force - (Measured in Newton) - Brake Drum Braking Force is defined as the force acting on the brake drum by the brake shoe when the braking is actuated by the driver.
Effective Wheel Radius - (Measured in Meter) - Effective Wheel Radius is defined as the radius of the tire when the tire is rotating and moving forward on the ground.
Friction Coefficient between Drum and Shoe - Friction Coefficient between Drum and Shoe is defined as the ratio between friction force and normal force.
Brake Drum Radius - (Measured in Meter) - Brake Drum Radius is defined as the radius of the brake drum measured in meters.
Brake Lining Width - (Measured in Meter) - Brake Lining Width is defined as the breadth of the brake linings that are connected to the brake shoe.
Angle between Linings of Brake Shoes - (Measured in Radian) - Angle between Linings of Brake Shoes is defined as the angle made by the brake linings of leading and trailing brake shoes respectively.
STEP 1: Convert Input(s) to Base Unit
Brake Drum Braking Force: 7800 Newton --> 7800 Newton No Conversion Required
Effective Wheel Radius: 0.1 Meter --> 0.1 Meter No Conversion Required
Friction Coefficient between Drum and Shoe: 0.35 --> No Conversion Required
Brake Drum Radius: 5.01 Meter --> 5.01 Meter No Conversion Required
Brake Lining Width: 0.68 Meter --> 0.68 Meter No Conversion Required
Angle between Linings of Brake Shoes: 25 Degree --> 0.4363323129985 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
mlp = (180/(8*pi))*(F*r)/(μf*rBD^2*w*α) --> (180/(8*pi))*(7800*0.1)/(0.35*5.01^2*0.68*0.4363323129985)
Evaluating ... ...
mlp = 2143.17415338702
STEP 3: Convert Result to Output's Unit
2143.17415338702 Pascal -->2143.17415338702 Newton per Square Meter (Check conversion ​here)
FINAL ANSWER
2143.17415338702 2143.174 Newton per Square Meter <-- Mean Lining Pressure
(Calculation completed in 00.004 seconds)

Credits

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Created by Syed Adnan
Ramaiah University of Applied Sciences (RUAS), bangalore
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Verified by Kartikay Pandit
National Institute Of Technology (NIT), Hamirpur
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Vehicle Braking Dynamics Calculators

Braking Torque of Leading Shoe
​ LaTeX ​ Go Leading Shoe Braking Torque = (Leading Shoe Actuating Force*Distance of Actuating Force from Horizontal*Friction Coefficient between Drum and Shoe*Effective Radius of Normal Force)/(Force of Trailing Shoe Distance from Horizontal+(Friction Coefficient between Drum and Shoe*Effective Radius of Normal Force))
Braking Torque of Trailing Shoe
​ LaTeX ​ Go Trailing Shoe Braking Torque = (Trailing Shoe Actuating Force*Force of Trailing Shoe Distance from Horizontal*Friction Coefficient for Smooth Road*Effective Radius of Normal Force)/(Force of Trailing Shoe Distance from Horizontal-Friction Coefficient for Smooth Road*Effective Radius of Normal Force)
Gradient Descend Brake Drum Force
​ LaTeX ​ Go Brake Drum Braking Force = Vehicle Weight/Acceleration due to Gravity*Vehicle Deceleration+Vehicle Weight*sin(Angle of Inclination of Plane to Horizontal)
Braking Force on Brake Drum on Level Road
​ LaTeX ​ Go Brake Drum Braking Force = Vehicle Weight/Acceleration due to Gravity*Vehicle Deceleration

Mean Lining Pressure of Brake Lining Formula

​LaTeX ​Go
Mean Lining Pressure = (180/(8*pi))*(Brake Drum Braking Force*Effective Wheel Radius)/(Friction Coefficient between Drum and Shoe*Brake Drum Radius^2*Brake Lining Width*Angle between Linings of Brake Shoes)
mlp = (180/(8*pi))*(F*r)/(μf*rBD^2*w*α)

What is brake lining pressure of brake lining?

Since the lining is the portion of the braking system which converts the vehicle's kinetic energy into heat, the lining must be capable of surviving high temperatures without excessive wear (leading to frequent replacement) or outgassing (which causes brake fade, a decrease in the stopping power of the brake).

How to Calculate Mean Lining Pressure of Brake Lining?

Mean Lining Pressure of Brake Lining calculator uses Mean Lining Pressure = (180/(8*pi))*(Brake Drum Braking Force*Effective Wheel Radius)/(Friction Coefficient between Drum and Shoe*Brake Drum Radius^2*Brake Lining Width*Angle between Linings of Brake Shoes) to calculate the Mean Lining Pressure, The Mean lining pressure of brake lining formula is defined as the pressure developed on the brake linings due to the number of forces like normal and actuating forces that act on it during braking operation. Mean Lining Pressure is denoted by mlp symbol.

How to calculate Mean Lining Pressure of Brake Lining using this online calculator? To use this online calculator for Mean Lining Pressure of Brake Lining, enter Brake Drum Braking Force (F), Effective Wheel Radius (r), Friction Coefficient between Drum and Shoe (μf), Brake Drum Radius (rBD), Brake Lining Width (w) & Angle between Linings of Brake Shoes (α) and hit the calculate button. Here is how the Mean Lining Pressure of Brake Lining calculation can be explained with given input values -> 2143.174 = (180/(8*pi))*(7800*0.1)/(0.35*5.01^2*0.68*0.4363323129985).

FAQ

What is Mean Lining Pressure of Brake Lining?
The Mean lining pressure of brake lining formula is defined as the pressure developed on the brake linings due to the number of forces like normal and actuating forces that act on it during braking operation and is represented as mlp = (180/(8*pi))*(F*r)/(μf*rBD^2*w*α) or Mean Lining Pressure = (180/(8*pi))*(Brake Drum Braking Force*Effective Wheel Radius)/(Friction Coefficient between Drum and Shoe*Brake Drum Radius^2*Brake Lining Width*Angle between Linings of Brake Shoes). Brake Drum Braking Force is defined as the force acting on the brake drum by the brake shoe when the braking is actuated by the driver, Effective Wheel Radius is defined as the radius of the tire when the tire is rotating and moving forward on the ground, Friction Coefficient between Drum and Shoe is defined as the ratio between friction force and normal force, Brake Drum Radius is defined as the radius of the brake drum measured in meters, Brake Lining Width is defined as the breadth of the brake linings that are connected to the brake shoe & Angle between Linings of Brake Shoes is defined as the angle made by the brake linings of leading and trailing brake shoes respectively.
How to calculate Mean Lining Pressure of Brake Lining?
The Mean lining pressure of brake lining formula is defined as the pressure developed on the brake linings due to the number of forces like normal and actuating forces that act on it during braking operation is calculated using Mean Lining Pressure = (180/(8*pi))*(Brake Drum Braking Force*Effective Wheel Radius)/(Friction Coefficient between Drum and Shoe*Brake Drum Radius^2*Brake Lining Width*Angle between Linings of Brake Shoes). To calculate Mean Lining Pressure of Brake Lining, you need Brake Drum Braking Force (F), Effective Wheel Radius (r), Friction Coefficient between Drum and Shoe (μf), Brake Drum Radius (rBD), Brake Lining Width (w) & Angle between Linings of Brake Shoes (α). With our tool, you need to enter the respective value for Brake Drum Braking Force, Effective Wheel Radius, Friction Coefficient between Drum and Shoe, Brake Drum Radius, Brake Lining Width & Angle between Linings of Brake Shoes 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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