Braking Torque of Trailing Shoe Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Tt = (Wt*ntrial*μ0*k)/(ntrial-μ0*k)
This formula uses 5 Variables
Variables Used
Trailing Shoe Braking Torque - (Measured in Newton Meter) - Trailing Shoe Braking Torque is defined as the torque developed at the brake shoes because of the braking force acting on them respectively.
Trailing Shoe Actuating Force - (Measured in Newton) - Trailing Shoe Actuating Force is defined as the force acting on the trailing shoe when braking force is applied on the brake drum.
Force of Trailing Shoe Distance from Horizontal - (Measured in Meter) - Force of Trailing Shoe Distance from Horizontal is defined as the distance of force on trailing shoe from the horizontal.
Friction Coefficient for Smooth Road - Friction Coefficient for Smooth Road is the friction coefficient generated between wheels and smooth road when the brakes are applied.
Effective Radius of Normal Force - (Measured in Meter) - Effective Radius of Normal Force is the distance of the normal force acting on the drum brake from the center of the brake drum.
STEP 1: Convert Input(s) to Base Unit
Trailing Shoe Actuating Force: 80 Newton --> 80 Newton No Conversion Required
Force of Trailing Shoe Distance from Horizontal: 2.2 Meter --> 2.2 Meter No Conversion Required
Friction Coefficient for Smooth Road: 0.18 --> No Conversion Required
Effective Radius of Normal Force: 0.3 Meter --> 0.3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tt = (Wt*ntrial0*k)/(ntrial0*k) --> (80*2.2*0.18*0.3)/(2.2-0.18*0.3)
Evaluating ... ...
Tt = 4.4287045666356
STEP 3: Convert Result to Output's Unit
4.4287045666356 Newton Meter --> No Conversion Required
FINAL ANSWER
4.4287045666356 4.428705 Newton Meter <-- Trailing Shoe Braking Torque
(Calculation completed in 00.004 seconds)

Credits

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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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

Braking Torque of Trailing Shoe Formula

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)
Tt = (Wt*ntrial*μ0*k)/(ntrial-μ0*k)

What is braking torque of trailing shoe?

Brake torque is essentially the power of the braking system. The brake caliper acts on the disc at a certain distance from the hub center, known as the effective radius. The force exerted by the caliper, multiplied by the effective radius of the system equals the brake torque.

How to Calculate Braking Torque of Trailing Shoe?

Braking Torque of Trailing Shoe calculator uses 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) to calculate the Trailing Shoe Braking Torque, The Braking torque of trailing shoe formula is defined as the torque produced on the trailing shoe because of the braking force acting on the leading shoe during braking operation. Trailing Shoe Braking Torque is denoted by Tt symbol.

How to calculate Braking Torque of Trailing Shoe using this online calculator? To use this online calculator for Braking Torque of Trailing Shoe, enter Trailing Shoe Actuating Force (Wt), Force of Trailing Shoe Distance from Horizontal (ntrial), Friction Coefficient for Smooth Road 0) & Effective Radius of Normal Force (k) and hit the calculate button. Here is how the Braking Torque of Trailing Shoe calculation can be explained with given input values -> 4.428705 = (80*2.2*0.18*0.3)/(2.2-0.18*0.3).

FAQ

What is Braking Torque of Trailing Shoe?
The Braking torque of trailing shoe formula is defined as the torque produced on the trailing shoe because of the braking force acting on the leading shoe during braking operation and is represented as Tt = (Wt*ntrial0*k)/(ntrial0*k) or 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). Trailing Shoe Actuating Force is defined as the force acting on the trailing shoe when braking force is applied on the brake drum, Force of Trailing Shoe Distance from Horizontal is defined as the distance of force on trailing shoe from the horizontal, Friction Coefficient for Smooth Road is the friction coefficient generated between wheels and smooth road when the brakes are applied & Effective Radius of Normal Force is the distance of the normal force acting on the drum brake from the center of the brake drum.
How to calculate Braking Torque of Trailing Shoe?
The Braking torque of trailing shoe formula is defined as the torque produced on the trailing shoe because of the braking force acting on the leading shoe during braking operation is calculated using 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). To calculate Braking Torque of Trailing Shoe, you need Trailing Shoe Actuating Force (Wt), Force of Trailing Shoe Distance from Horizontal (ntrial), Friction Coefficient for Smooth Road 0) & Effective Radius of Normal Force (k). With our tool, you need to enter the respective value for Trailing Shoe Actuating Force, Force of Trailing Shoe Distance from Horizontal, Friction Coefficient for Smooth Road & Effective Radius of Normal Force 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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