Braking Torque of Leading Shoe Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Tl = (Wl*m*μf*k)/(ntrial+(μf*k))
This formula uses 6 Variables
Variables Used
Leading Shoe Braking Torque - (Measured in Newton Meter) - Leading Shoe Braking Torque is defined as the torque developed at the leading shoe during braking operation.
Leading Shoe Actuating Force - (Measured in Newton) - Leading Shoe Actuating Force is defined as the force exerted on the leading shoe when braking force is applied on the brake drum.
Distance of Actuating Force from Horizontal - (Measured in Meter) - Distance of Actuating Force from Horizontal is defined as the distance of the actuating force on the leading shoe from the horizontal.
Friction Coefficient between Drum and Shoe - Friction Coefficient between Drum and Shoe is defined as the ratio between friction force and normal force.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Leading Shoe Actuating Force: 105 Newton --> 105 Newton No Conversion Required
Distance of Actuating Force from Horizontal: 0.26 Meter --> 0.26 Meter No Conversion Required
Friction Coefficient between Drum and Shoe: 0.35 --> No Conversion Required
Effective Radius of Normal Force: 0.3 Meter --> 0.3 Meter No Conversion Required
Force of Trailing Shoe Distance from Horizontal: 2.2 Meter --> 2.2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tl = (Wl*m*μf*k)/(ntrial+(μf*k)) --> (105*0.26*0.35*0.3)/(2.2+(0.35*0.3))
Evaluating ... ...
Tl = 1.24360086767896
STEP 3: Convert Result to Output's Unit
1.24360086767896 Newton Meter --> No Conversion Required
FINAL ANSWER
1.24360086767896 1.243601 Newton Meter <-- Leading Shoe Braking Torque
(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
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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 Leading Shoe Formula

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))
Tl = (Wl*m*μf*k)/(ntrial+(μf*k))

What is braking torque of leading 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 Leading Shoe?

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

How to calculate Braking Torque of Leading Shoe using this online calculator? To use this online calculator for Braking Torque of Leading Shoe, enter Leading Shoe Actuating Force (Wl), Distance of Actuating Force from Horizontal (m), Friction Coefficient between Drum and Shoe (μf), Effective Radius of Normal Force (k) & Force of Trailing Shoe Distance from Horizontal (ntrial) and hit the calculate button. Here is how the Braking Torque of Leading Shoe calculation can be explained with given input values -> 1.243601 = (105*0.26*0.35*0.3)/(2.2+(0.35*0.3)).

FAQ

What is Braking Torque of Leading Shoe?
The Braking torque of leading shoe formula is defined as the torque produced on the leading shoe because of the braking force acting on the leading shoe during braking operation and is represented as Tl = (Wl*m*μf*k)/(ntrial+(μf*k)) or 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)). Leading Shoe Actuating Force is defined as the force exerted on the leading shoe when braking force is applied on the brake drum, Distance of Actuating Force from Horizontal is defined as the distance of the actuating force on the leading shoe from the horizontal, Friction Coefficient between Drum and Shoe is defined as the ratio between friction force and normal force, Effective Radius of Normal Force is the distance of the normal force acting on the drum brake from the center of the brake drum & Force of Trailing Shoe Distance from Horizontal is defined as the distance of force on trailing shoe from the horizontal.
How to calculate Braking Torque of Leading Shoe?
The Braking torque of leading shoe formula is defined as the torque produced on the leading shoe because of the braking force acting on the leading shoe during braking operation is calculated using 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)). To calculate Braking Torque of Leading Shoe, you need Leading Shoe Actuating Force (Wl), Distance of Actuating Force from Horizontal (m), Friction Coefficient between Drum and Shoe (μf), Effective Radius of Normal Force (k) & Force of Trailing Shoe Distance from Horizontal (ntrial). With our tool, you need to enter the respective value for 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 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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