Tractive Effort on Driven Wheel Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wheel Tractive Effort = (Gear Ratio of Transmission*Gear Ratio of Final Drive*(Efficiency of Driveline/100)*Torque Output from Powerplant)/Effective Radius of Wheel
Fw = (i*io*(ηdl/100)*Tpp)/rd
This formula uses 6 Variables
Variables Used
Wheel Tractive Effort - (Measured in Newton) - Wheel tractive effort refers to the force that a locomotive or a vehicle's drive wheels apply to the track or the road to propel the vehicle forward.
Gear Ratio of Transmission - Gear Ratio of Transmission is the ratio between the revolutions of the engine crankshaft and the revolutions of the shaft which comes out of the gearbox.
Gear Ratio of Final Drive - Gear Ratio of Final Drive is the ratio between the revolutions of the gearbox shaft and the revolutions of the wheels.
Efficiency of Driveline - Efficiency of driveline from power plant (Engine or Motor or combination of both) to the driven wheels.
Torque Output from Powerplant - (Measured in Newton Meter) - Torque output from powerplant is the torque produced by the engine or motor or combination of both, depending upon the torque required at the wheel to propel the vehicle.
Effective Radius of Wheel - (Measured in Meter) - The Effective Radius of Wheel is the radius of the part of the wheel which remains undeformed while rolling.
STEP 1: Convert Input(s) to Base Unit
Gear Ratio of Transmission: 2.55 --> No Conversion Required
Gear Ratio of Final Drive: 2 --> No Conversion Required
Efficiency of Driveline: 5.2 --> No Conversion Required
Torque Output from Powerplant: 56.471 Newton Meter --> 56.471 Newton Meter No Conversion Required
Effective Radius of Wheel: 0.45 Meter --> 0.45 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fw = (i*io*(ηdl/100)*Tpp)/rd --> (2.55*2*(5.2/100)*56.471)/0.45
Evaluating ... ...
Fw = 33.2802426666667
STEP 3: Convert Result to Output's Unit
33.2802426666667 Newton --> No Conversion Required
FINAL ANSWER
33.2802426666667 33.28024 Newton <-- Wheel Tractive Effort
(Calculation completed in 00.004 seconds)

Credits

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Indian Institute of Technology (IIT (ISM) ), Dhanbad, Jharkhand
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Tractive Effort Calculators

Tractive Effort Required to Overcome Effect of Gravity
​ LaTeX ​ Go Gravity Tractive Effort = 1000*Weight of Train*[g]*sin(Angle D)
Tractive Effort at Wheel
​ LaTeX ​ Go Wheel Tractive Effort = (Pinion Edge Tractive Effort*Diameter of Pinion 2)/Diameter of Wheel
Tractive Effort Required to Overcome Train Resistance
​ LaTeX ​ Go Resistance Overcome Tractive Effort = Specific Resistance Train*Weight of Train
Tractive Effort at Edge of Pinion
​ LaTeX ​ Go Pinion Edge Tractive Effort = (2*Engine Torque)/Diameter of Pinion 1

Traction Physics Calculators

Tractive Effort during Acceleration
​ LaTeX ​ Go Acceleration Tractive Effort = (277.8*Accelerating Weight of Train*Acceleration of Train)+(Weight of Train*Specific Resistance Train)
Total Tractive Effort Required for Propulsion of Train
​ LaTeX ​ Go Train Tractive Effort = Resistance Overcome Tractive Effort+Gravity Overcome Tractive Effort+Force
Tractive Effort at Wheel
​ LaTeX ​ Go Wheel Tractive Effort = (Pinion Edge Tractive Effort*Diameter of Pinion 2)/Diameter of Wheel
Tractive Effort at Edge of Pinion
​ LaTeX ​ Go Pinion Edge Tractive Effort = (2*Engine Torque)/Diameter of Pinion 1

Tractive Effort on Driven Wheel Formula

​LaTeX ​Go
Wheel Tractive Effort = (Gear Ratio of Transmission*Gear Ratio of Final Drive*(Efficiency of Driveline/100)*Torque Output from Powerplant)/Effective Radius of Wheel
Fw = (i*io*(ηdl/100)*Tpp)/rd

What is tractive effort ?

The force available at the contact between the drive wheel tyres and road is known as ‘tractive effort’. The ability of the drive wheels to transmit this effort without slipping is known as ‘traction’. Hence usable tractive effort never exceeds traction. When the tractive effort F>R, the total resistance on level road, the surplus tractive effort is utilized for acceleration, hill climbing and draw-bar pull.

How to Calculate Tractive Effort on Driven Wheel?

Tractive Effort on Driven Wheel calculator uses Wheel Tractive Effort = (Gear Ratio of Transmission*Gear Ratio of Final Drive*(Efficiency of Driveline/100)*Torque Output from Powerplant)/Effective Radius of Wheel to calculate the Wheel Tractive Effort, The Tractive effort on driven wheel is defined as the force exerted by the vehicle to the outer edges of the wheels to accelerate the vehicle and overcome the friction, windage and curve resistance. Wheel Tractive Effort is denoted by Fw symbol.

How to calculate Tractive Effort on Driven Wheel using this online calculator? To use this online calculator for Tractive Effort on Driven Wheel, enter Gear Ratio of Transmission (i), Gear Ratio of Final Drive (io), Efficiency of Driveline dl), Torque Output from Powerplant (Tpp) & Effective Radius of Wheel (rd) and hit the calculate button. Here is how the Tractive Effort on Driven Wheel calculation can be explained with given input values -> 33.28024 = (2.55*2*(5.2/100)*56.471)/0.45.

FAQ

What is Tractive Effort on Driven Wheel?
The Tractive effort on driven wheel is defined as the force exerted by the vehicle to the outer edges of the wheels to accelerate the vehicle and overcome the friction, windage and curve resistance and is represented as Fw = (i*io*(ηdl/100)*Tpp)/rd or Wheel Tractive Effort = (Gear Ratio of Transmission*Gear Ratio of Final Drive*(Efficiency of Driveline/100)*Torque Output from Powerplant)/Effective Radius of Wheel. Gear Ratio of Transmission is the ratio between the revolutions of the engine crankshaft and the revolutions of the shaft which comes out of the gearbox, Gear Ratio of Final Drive is the ratio between the revolutions of the gearbox shaft and the revolutions of the wheels, Efficiency of driveline from power plant (Engine or Motor or combination of both) to the driven wheels, Torque output from powerplant is the torque produced by the engine or motor or combination of both, depending upon the torque required at the wheel to propel the vehicle & The Effective Radius of Wheel is the radius of the part of the wheel which remains undeformed while rolling.
How to calculate Tractive Effort on Driven Wheel?
The Tractive effort on driven wheel is defined as the force exerted by the vehicle to the outer edges of the wheels to accelerate the vehicle and overcome the friction, windage and curve resistance is calculated using Wheel Tractive Effort = (Gear Ratio of Transmission*Gear Ratio of Final Drive*(Efficiency of Driveline/100)*Torque Output from Powerplant)/Effective Radius of Wheel. To calculate Tractive Effort on Driven Wheel, you need Gear Ratio of Transmission (i), Gear Ratio of Final Drive (io), Efficiency of Driveline dl), Torque Output from Powerplant (Tpp) & Effective Radius of Wheel (rd). With our tool, you need to enter the respective value for Gear Ratio of Transmission, Gear Ratio of Final Drive, Efficiency of Driveline, Torque Output from Powerplant & Effective Radius of Wheel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Wheel Tractive Effort?
In this formula, Wheel Tractive Effort uses Gear Ratio of Transmission, Gear Ratio of Final Drive, Efficiency of Driveline, Torque Output from Powerplant & Effective Radius of Wheel. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Wheel Tractive Effort = (Pinion Edge Tractive Effort*Diameter of Pinion 2)/Diameter of Wheel
  • Wheel Tractive Effort = (Pinion Edge Tractive Effort*Diameter of Pinion 2)/Diameter of Wheel
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