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Normal Force at Brake Shoe Contact Point Formula

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Normal Force between Shoe and Drum is defined as the force acting between the drum and shoe arising due to actuating forces and act at an angle. Check FAQs

P = \frac{F \cdot r}{8 \cdot μf \cdot α}

P - Normal Force between Shoe and Drum?F - Brake Drum Braking Force?r - Effective Wheel Radius?μf - Friction Coefficient between Drum and Shoe?α - Angle between Linings of Brake Shoes?

Normal Force at Brake Shoe Contact Point Example

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Here is how the Normal Force at Brake Shoe Contact Point equation looks like with Values.

Here is how the Normal Force at Brake Shoe Contact Point equation looks like with Units.

Here is how the Normal Force at Brake Shoe Contact Point equation looks like.

638.4387 = \frac{7800 \cdot 0.1}{8 \cdot 0.35 \cdot 25}

638.4387N = \frac{7800N \cdot 0.1m}{8 \cdot 0.35 \cdot 25°}

638.4387 = \frac{7800 \cdot 0.1}{8 \cdot 0.35 \cdot 25}

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Normal Force at Brake Shoe Contact Point Solution

Follow our step by step solution on how to calculate Normal Force at Brake Shoe Contact Point?

FIRST Step Consider the formula

P = \frac{F \cdot r}{8 \cdot μf \cdot α}

Next Step Substitute values of Variables

∴

P = \frac{7800N \cdot 0.1m}{8 \cdot 0.35 \cdot 25°}

Next Step Convert Units

∴

P = \frac{7800N \cdot 0.1m}{8 \cdot 0.35 \cdot 0.4363rad}

Next Step Prepare to Evaluate

∴

P = \frac{7800 \cdot 0.1}{8 \cdot 0.35 \cdot 0.4363}

Next Step Evaluate

∴

P = 638.438686003038N

LAST Step Rounding Answer

∴

P = 638.4387N

Normal Force at Brake Shoe Contact Point Formula Elements

Variables

Normal Force between Shoe and Drum

Normal Force between Shoe and Drum is defined as the force acting between the drum and shoe arising due to actuating forces and act at an angle.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Normal Force between Shoe and Drum

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

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

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)

Go Braking Torque of Leading Shoe

T l = \frac{W l \cdot m \cdot μf \cdot k}{n t + (μf \cdot k)}

Go Braking Torque of Trailing Shoe

T t = \frac{W t \cdot n t \cdot μ 0 \cdot k}{n t - μ 0 \cdot k}

How to Evaluate Normal Force at Brake Shoe Contact Point?

Normal Force at Brake Shoe Contact Point evaluator uses 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) to evaluate the Normal Force between Shoe and Drum, Normal Force at Brake Shoe Contact Point formula is defined as the force acting on the brake lining of the brake shoes arising due to actuating forces. Normal Force between Shoe and Drum is denoted by P symbol.

How to evaluate Normal Force at Brake Shoe Contact Point using this online evaluator? To use this online evaluator for Normal Force at Brake Shoe Contact Point, enter Brake Drum Braking Force (F), Effective Wheel Radius (r), Friction Coefficient between Drum and Shoe (μf) & Angle between Linings of Brake Shoes (α) and hit the calculate button.

FAQs on Normal Force at Brake Shoe Contact Point

What is the formula to find Normal Force at Brake Shoe Contact Point?

The formula of Normal Force at Brake Shoe Contact Point is expressed as 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). Here is an example- 638.4387 = (7800*0.1)/(8*0.35*0.4363323129985).

How to calculate Normal Force at Brake Shoe Contact Point?

With Brake Drum Braking Force (F), Effective Wheel Radius (r), Friction Coefficient between Drum and Shoe (μf) & Angle between Linings of Brake Shoes (α) we can find Normal Force at Brake Shoe Contact Point using the formula - 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).

Can the Normal Force at Brake Shoe Contact Point be negative?

No, the Normal Force at Brake Shoe Contact Point, measured in Force cannot be negative.

Which unit is used to measure Normal Force at Brake Shoe Contact Point?

Normal Force at Brake Shoe Contact Point is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Normal Force at Brake Shoe Contact Point can be measured.

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Normal Force at Brake Shoe Contact Point Formula

Normal Force at Brake Shoe Contact Point Example

Normal Force at Brake Shoe Contact Point Solution

Normal Force at Brake Shoe Contact Point Formula Elements

Other formulas in Vehicle Braking Dynamics category

How to Evaluate Normal Force at Brake Shoe Contact Point?

FAQs on Normal Force at Brake Shoe Contact Point

Variable Name