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Mean Lining Pressure of Brake Lining Formula

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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. Check FAQs

mlp = (\frac{180}{8 \cdot π}) \cdot \frac{F \cdot r}{μf \cdot {r BD}^{2} \cdot w \cdot α}

mlp - Mean Lining Pressure?F - Brake Drum Braking Force?r - Effective Wheel Radius?μf - Friction Coefficient between Drum and Shoe?r_BD - Brake Drum Radius?w - Brake Lining Width?α - Angle between Linings of Brake Shoes?π - Archimedes' constant?

Mean Lining Pressure of Brake Lining Example

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Here is how the Mean Lining Pressure of Brake Lining equation looks like with Values.

Here is how the Mean Lining Pressure of Brake Lining equation looks like with Units.

Here is how the Mean Lining Pressure of Brake Lining equation looks like.

2143.1742 = (\frac{180}{8 \cdot 3.1416}) \cdot \frac{7800 \cdot 0.1}{0.35 \cdot {5.01}^{2} \cdot 0.68 \cdot 25}

2143.1742N/m² = (\frac{180}{8 \cdot 3.1416}) \cdot \frac{7800N \cdot 0.1m}{0.35 \cdot {5.01m}^{2} \cdot 0.68m \cdot 25°}

2143.1742 = (\frac{180}{8 \cdot 3.1416}) \cdot \frac{7800 \cdot 0.1}{0.35 \cdot {5.01}^{2} \cdot 0.68 \cdot 25}

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Mean Lining Pressure of Brake Lining Solution

Follow our step by step solution on how to calculate Mean Lining Pressure of Brake Lining?

FIRST Step Consider the formula

mlp = (\frac{180}{8 \cdot π}) \cdot \frac{F \cdot r}{μf \cdot {r BD}^{2} \cdot w \cdot α}

Next Step Substitute values of Variables

∴

mlp = (\frac{180}{8 \cdot π}) \cdot \frac{7800N \cdot 0.1m}{0.35 \cdot {5.01m}^{2} \cdot 0.68m \cdot 25°}

Next Step Substitute values of Constants

∴

mlp = (\frac{180}{8 \cdot 3.1416}) \cdot \frac{7800N \cdot 0.1m}{0.35 \cdot {5.01m}^{2} \cdot 0.68m \cdot 25°}

Next Step Convert Units

∴

mlp = (\frac{180}{8 \cdot 3.1416}) \cdot \frac{7800N \cdot 0.1m}{0.35 \cdot {5.01m}^{2} \cdot 0.68m \cdot 0.4363rad}

Next Step Prepare to Evaluate

∴

mlp = (\frac{180}{8 \cdot 3.1416}) \cdot \frac{7800 \cdot 0.1}{0.35 \cdot {5.01}^{2} \cdot 0.68 \cdot 0.4363}

Next Step Evaluate

∴

mlp = 2143.17415338702Pa

Next Step Convert to Output's Unit

∴

mlp = 2143.17415338702N/m²

LAST Step Rounding Answer

∴

mlp = 2143.1742N/m²

Mean Lining Pressure of Brake Lining Formula Elements

Variables

Constants

Mean Lining Pressure

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.

Symbol: mlp

Measurement: PressureUnit: N/m²

Note: Value can be positive or negative.

Formulas to find Mean Lining Pressure

Brake Drum Braking Force

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.

Symbol: F

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Brake Drum Braking Force

Effective Wheel Radius

Effective Wheel Radius is defined as the radius of the tire when the tire is rotating and moving forward on the ground.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Effective Wheel Radius

Friction Coefficient between Drum and Shoe

Friction Coefficient between Drum and Shoe is defined as the ratio between friction force and normal force.

Symbol: μf

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Friction Coefficient between Drum and Shoe

Brake Drum Radius

Brake Drum Radius is defined as the radius of the brake drum measured in meters.

Symbol: r_BD

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Brake Drum Radius

Brake Lining Width

Brake Lining Width is defined as the breadth of the brake linings that are connected to the brake shoe.

Symbol: w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Brake Lining Width

Angle between Linings of Brake Shoes

Angle between Linings of Brake Shoes is defined as the angle made by the brake linings of leading and trailing brake shoes respectively.

Symbol: α

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle between Linings of Brake Shoes

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Vehicle Braking Dynamics category

Go Braking Force on Brake Drum on Level Road

F = \frac{W}{g} \cdot f

Go Gradient Descend Brake Drum Force

F = \frac{W}{g} \cdot f + W \cdot \sin (α inc)

How to Evaluate Mean Lining Pressure of Brake Lining?

Mean Lining Pressure of Brake Lining evaluator 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 evaluate 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 evaluate Mean Lining Pressure of Brake Lining using this online evaluator? To use this online evaluator 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 (r_BD), Brake Lining Width (w) & Angle between Linings of Brake Shoes (α) and hit the calculate button.

FAQs on Mean Lining Pressure of Brake Lining

What is the formula to find Mean Lining Pressure of Brake Lining?

The formula of Mean Lining Pressure of Brake Lining is expressed as 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). Here is an example- 2143.174 = (180/(8*pi))*(7800*0.1)/(0.35*5.01^2*0.68*0.4363323129985).

How to calculate Mean Lining Pressure of Brake Lining?

With Brake Drum Braking Force (F), Effective Wheel Radius (r), Friction Coefficient between Drum and Shoe (μf), Brake Drum Radius (r_BD), Brake Lining Width (w) & Angle between Linings of Brake Shoes (α) we can find Mean Lining Pressure of Brake Lining using the 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). This formula also uses Archimedes' constant .

Can the Mean Lining Pressure of Brake Lining be negative?

Yes, the Mean Lining Pressure of Brake Lining, measured in Pressure can be negative.

Which unit is used to measure Mean Lining Pressure of Brake Lining?

Mean Lining Pressure of Brake Lining is usually measured using the Newton per Square Meter[N/m²] for Pressure. Pascal[N/m²], Kilopascal[N/m²], Bar[N/m²] are the few other units in which Mean Lining Pressure of Brake Lining can be measured.

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Mean Lining Pressure of Brake Lining Formula

Mean Lining Pressure of Brake Lining Example

Mean Lining Pressure of Brake Lining Solution

Mean Lining Pressure of Brake Lining Formula Elements

Other formulas in Vehicle Braking Dynamics category

How to Evaluate Mean Lining Pressure of Brake Lining?

FAQs on Mean Lining Pressure of Brake Lining

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