Normal Force at Brake Shoe Contact Point Calculator

✖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.ⓘ Brake Drum Braking Force [F]			+10% -10%
✖Effective Wheel Radius is defined as the radius of the tire when the tire is rotating and moving forward on the ground.ⓘ Effective Wheel Radius [r]			+10% -10%
✖Friction Coefficient between Drum and Shoe is defined as the ratio between friction force and normal force.ⓘ Friction Coefficient between Drum and Shoe [μf]			+10% -10%
✖Angle between Linings of Brake Shoes is defined as the angle made by the brake linings of leading and trailing brake shoes respectively.ⓘ Angle between Linings of Brake Shoes [α]			+10% -10%

✖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.ⓘ Normal Force at Brake Shoe Contact Point [P]

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Normal Force at Brake Shoe Contact Point Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
P = (F*r)/(8*μf*α)
This formula uses 5 Variables

Variables Used

Normal Force between Shoe and Drum - (Measured in Newton) - 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.
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.
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
Angle between Linings of Brake Shoes: 25 Degree --> 0.4363323129985 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (F*r)/(8*μf*α) --> (7800*0.1)/(8*0.35*0.4363323129985)

Evaluating ... ...

P = 638.438686003038

STEP 3: Convert Result to Output's Unit

638.438686003038 Newton --> No Conversion Required

FINAL ANSWER

638.438686003038 ≈ 638.4387 Newton <-- Normal Force between Shoe and Drum

(Calculation completed in 00.004 seconds)

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Home » Physics » Automobile » Race Car Vehicle Dynamics » Weight Transfer during Braking » All Wheel Braking for Racing Car » Mechanical » Vehicle Braking Dynamics » Normal Force at Brake Shoe Contact Point

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Created by Syed Adnan

Ramaiah University of Applied Sciences (RUAS), bangalore

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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

Normal Force at Brake Shoe Contact Point Formula

LaTeX 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)
P = (F*r)/(8*μf*α)

What is the normal force acting on the brake linings of brake shoe?

Drum brakes refer to a braking system in which shoes press on the inner surface of the drum. A clasp brake happens when the shoes push on the drum’s exterior. Pinch drum brakes are similar to standard disc brakes in that the drum is pressed between two shoes.The friction is caused by a set of shoes or pads pushed outward against a rotating cylinder-shaped piece known as the drum brakes.

How to Calculate Normal Force at Brake Shoe Contact Point?

Normal Force at Brake Shoe Contact Point calculator 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 calculate 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 calculate Normal Force at Brake Shoe Contact Point using this online calculator? To use this online calculator 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. Here is how the Normal Force at Brake Shoe Contact Point calculation can be explained with given input values -> 638.4387 = (7800*0.1)/(8*0.35*0.4363323129985).

FAQ

What is Normal Force at Brake Shoe Contact Point?

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 and is represented as P = (F*r)/(8*μf*α) or 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). 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 & 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 Normal Force at Brake Shoe Contact Point?

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 is calculated using 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 calculate Normal Force at Brake Shoe Contact Point, you need Brake Drum Braking Force (F), Effective Wheel Radius (r), Friction Coefficient between Drum and Shoe (μf) & 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 & 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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