Tractive Effort on Driven Wheel Calculator

✖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 Transmission [i]			+10% -10%
✖Gear ratio of final drive is the ratio between the revolutions of the gearbox shaft and the revolutions of the wheels.ⓘ Gear Ratio of Final Drive [i_o]			+10% -10%
✖Efficiency of driveline from power plant (Engine or Motor or combination of both) to the driven wheels.ⓘ Efficiency of Driveline [η_dl]			+10% -10%
✖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.ⓘ Torque Output from Powerplant [T_pp]			+10% -10%
✖The Effective radius of Wheel is the radius of the part of the wheel which remains undeformed while rolling.ⓘ Effective Radius of Wheel [r_d]			+10% -10%

✖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.ⓘ Tractive Effort on Driven Wheel [F_w]

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Formula

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Tractive Effort on Driven Wheel

Formula

`"F"_{"w"} = ("i"*"i"_{"o"}*("η"_{"dl"}/100)*"T"_{"pp"})/"r"_{"d"}`

Example

`"33.28024N"=("2.55"*"2"*("5.2"/100)*"56.471N*m")/"0.45m"`

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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
F_w = (i*i_o*(η_dl/100)*T_pp)/r_d
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

F_w = (i*i_o*(η_dl/100)*T_pp)/r_d --> (2.55*2*(5.2/100)*56.471)/0.45

Evaluating ... ...

F_w = 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)

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Created by Aditya Prakash Gautam

Indian Institute of Technology (IIT (ISM) ), Dhanbad, Jharkhand

Aditya Prakash Gautam has created this Calculator and 25+ more calculators!

Verified by Peri Krishna Karthik

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala

Peri Krishna Karthik has verified this Calculator and 8 more calculators!

< 11 Tractive Effort Calculators

Tractive Effort on Driven Wheel

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

Tractive Effort during Acceleration

Go Acceleration Tractive Effort = (277.8*Accelerating Weight of Train*Acceleration of Train)+(Weight of Train*Specific Resistance Train)

Tractive Effort Required while going down Gradient

Go Down Gradient Tractive Effort = (Weight of Train*Specific Resistance Train)-(98.1*Weight of Train*Gradient)

Tractive Effort Required during Free-Running

Go Free Run Tractive Effort = (98.1*Weight of Train*Gradient)+(Weight of Train*Specific Resistance Train)

Total Tractive Effort Required for Propulsion of Train

Go Train Tractive Effort = Resistance Overcome Tractive Effort+Gravity Overcome Tractive Effort+Force

Tractive Effort Required to Overcome Effect of Gravity

Go Gravity Tractive Effort = 1000*Weight of Train*[g]*sin(Angle D)

Tractive Effort at Wheel

Go Wheel Tractive Effort = (Pinion Edge Tractive Effort*Diameter of Pinion 2)/Diameter of Wheel

Tractive Effort Required for Linear and Angular Acceleration

Go Angular Accelration Tractive Effort = 27.88*Weight of Train*Acceleration of Train

Tractive Effort Required to Overcome Train Resistance

Go Resistance Overcome Tractive Effort = Specific Resistance Train*Weight of Train

Tractive Effort at Edge of Pinion

Go Pinion Edge Tractive Effort = (2*Engine Torque)/Diameter of Pinion 1

Tractive Effort Required to Overcome Effect of Gravity given Gradient during up Gradient

Go Tractive Effort of Up Gradient = 98.1*Weight of Train*Gradient

< 15 Traction Physics Calculators

Tractive Effort on Driven Wheel

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

Energy Available during Regeneration

Go Energy Consumption during Regeneration = 0.01072*(Accelerating Weight of Train/Weight of Train)*(Final Velocity^2-Initial Velocity^2)

Tractive Effort during Acceleration

Go Acceleration Tractive Effort = (277.8*Accelerating Weight of Train*Acceleration of Train)+(Weight of Train*Specific Resistance Train)

Slip of Scherbius Drive given RMS Line Voltage

Go Slip = (Back Emf/RMS Value of Rotor Side Line Voltage)*modulus(cos(Firing Angle))

Tractive Effort Required while going down Gradient

Go Down Gradient Tractive Effort = (Weight of Train*Specific Resistance Train)-(98.1*Weight of Train*Gradient)

Tractive Effort Required during Free-Running

Go Free Run Tractive Effort = (98.1*Weight of Train*Gradient)+(Weight of Train*Specific Resistance Train)

Total Tractive Effort Required for Propulsion of Train

Go Train Tractive Effort = Resistance Overcome Tractive Effort+Gravity Overcome Tractive Effort+Force

Tractive Effort Required to Overcome Effect of Gravity

Go Gravity Tractive Effort = 1000*Weight of Train*[g]*sin(Angle D)

Tractive Effort at Wheel

Go Wheel Tractive Effort = (Pinion Edge Tractive Effort*Diameter of Pinion 2)/Diameter of Wheel

Energy Consumption for Overcoming Gradient and Tracking Resistance

Go Energy Consumption for Overcoming Gradient = Tractive Effort*Velocity*Time Taken by Train

Power Output of Motor using Efficiency of Gear Transmission

Go Power Output Train = (Tractive Effort*Velocity)/(3600*Gear Efficiency)

Tractive Effort Required for Linear and Angular Acceleration

Go Angular Accelration Tractive Effort = 27.88*Weight of Train*Acceleration of Train

Tractive Effort Required to Overcome Train Resistance

Go Resistance Overcome Tractive Effort = Specific Resistance Train*Weight of Train

Tractive Effort at Edge of Pinion

Go Pinion Edge Tractive Effort = (2*Engine Torque)/Diameter of Pinion 1

Tractive Effort Required to Overcome Effect of Gravity given Gradient during up Gradient

Go Tractive Effort of Up Gradient = 98.1*Weight of Train*Gradient

Tractive Effort on Driven Wheel Formula

Wheel Tractive Effort = (Gear Ratio of Transmission*Gear Ratio of Final Drive*(Efficiency of Driveline/100)*Torque Output from Powerplant)/Effective Radius of Wheel
F_w = (i*i_o*(η_dl/100)*T_pp)/r_d

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 F_w 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 (i_o), Efficiency of Driveline (η_dl), Torque Output from Powerplant (T_pp) & Effective Radius of Wheel (r_d) 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 F_w = (i*i_o*(η_dl/100)*T_pp)/r_d 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 (i_o), Efficiency of Driveline (η_dl), Torque Output from Powerplant (T_pp) & Effective Radius of Wheel (r_d). 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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