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

Created by Syed Adnan
Ramaiah University of Applied Sciences (RUAS), bangalore
Syed Adnan has created this Calculator and 200+ more calculators!
Verified by Kartikay Pandit
National Institute Of Technology (NIT), Hamirpur
Kartikay Pandit has verified this Calculator and 400+ more calculators!

11 Vehicle Braking Dynamics Calculators

Braking Torque of Leading Shoe
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
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)
Mean Lining Pressure of Brake Lining
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)
Gradient Descend Brake Drum Force
Go Brake Drum Braking Force = Vehicle Weight/Acceleration due to Gravity*Vehicle Deceleration+Vehicle Weight*sin(Angle of Inclination of Plane to Horizontal)
Friction Coefficient between Wheel and Road Surface with Retardation
Go Friction Coefficient between Wheels and Ground = (Retardation Produced by Braking/[g]+sin(Inclination Angle of Road))/cos(Inclination Angle of Road)
All Wheel Braking Retardation
Go Retardation Produced by Braking = [g]*(Friction Coefficient between Wheels and Ground*cos(Inclination Angle of Road)-sin(Inclination Angle of Road))
Braking Torque of Disc Brake
Go Disc Brake Braking Torque = 2*Line Pressure*Area of One Piston per Caliper*Friction Coefficient of Pad Material*Mean Radius of Caliper Unit to Disc Axis*Number of Caliper Units
Normal Force at Brake Shoe Contact Point
Go Normal Force between Shoe and Drum = (Brake Drum Braking Force*Effective Wheel Radius)/(8*Friction Coefficient between Drum and Shoe*Angle between Linings of Brake Shoes)
Ground Speed of Track Laying Vehicle
Go Ground Speed of Track Laying Vehicle = (Engine RPM*Driving Sprocket Circumference)/(16660*Overall Gear Reduction)
Braking Force on Brake Drum on Level Road
Go Brake Drum Braking Force = Vehicle Weight/Acceleration due to Gravity*Vehicle Deceleration
Wheel Heat Generation Rate
Go Heat Generated per Second at Each Wheel = (Brake Drum Braking Force*Vehicle Speed)/4

Mean Lining Pressure of Brake Lining Formula

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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