Traction Force Required to Climb Curb Calculator

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Race Car Vehicle Dynamics

Driveline

Front Axle and Steering

Suspension Geometry

Vehicle Collision

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Tire Behavior in Racing Car

Rates for Axle Suspension in Race Car

Ride Rate and Ride Frequency for Race Cars

Vehicle Cornering in Race Cars

Weight Transfer during Braking

Wheel Centre Rates for Independent Suspension

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Angular Velocity

Rolling

Slip Ratio

✖Weight on Single Wheel is defined as the weight force acting on the single wheel of vehicle.ⓘ Weight on Single Wheel [G]			+10% -10%
✖Angle between Traction Force and Horizontal Axis is the angle made between the traction force that pushes the wheel above curb and the horizontal wheel axis.ⓘ Angle between Traction Force and Horizontal Axis [θ]			+10% -10%

✖Traction Force required to Climb Curb is defined as the force in which the wheel gets torque from the powertrain and generates a traction force in the contact point with the curb.ⓘ Traction Force Required to Climb Curb [R]

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Formula

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Traction Force Required to Climb Curb

Formula

`"R" = "G"*cos("θ")`

Example

`"3859.411N"="5000N"*cos("0.689rad")`

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Traction Force Required to Climb Curb Solution

STEP 0: Pre-Calculation Summary

Formula Used

Traction Force required to Climb Curb = Weight on Single Wheel*cos(Angle between Traction Force and Horizontal Axis)
R = G*cos(θ)
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Traction Force required to Climb Curb - (Measured in Newton) - Traction Force required to Climb Curb is defined as the force in which the wheel gets torque from the powertrain and generates a traction force in the contact point with the curb.
Weight on Single Wheel - (Measured in Newton) - Weight on Single Wheel is defined as the weight force acting on the single wheel of vehicle.
Angle between Traction Force and Horizontal Axis - (Measured in Radian) - Angle between Traction Force and Horizontal Axis is the angle made between the traction force that pushes the wheel above curb and the horizontal wheel axis.

STEP 1: Convert Input(s) to Base Unit

Weight on Single Wheel: 5000 Newton --> 5000 Newton No Conversion Required
Angle between Traction Force and Horizontal Axis: 0.689 Radian --> 0.689 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = G*cos(θ) --> 5000*cos(0.689)

Evaluating ... ...

R = 3859.41083225132

STEP 3: Convert Result to Output's Unit

3859.41083225132 Newton --> No Conversion Required

FINAL ANSWER

3859.41083225132 ≈ 3859.411 Newton <-- Traction Force required to Climb Curb

(Calculation completed in 00.004 seconds)

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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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< 19 Tire Behavior in Racing Car Calculators

Tractive Effort in Multi-Geared Vehicle at any given Gear

Go Tractive Effort in Multi-geared Vehicle = (Torque Output of Vehicle*Gear Ratio of Transmission*Gear Ratio of Final Drive*Transmission Efficiency of Vehicle)/Effective Radius of Wheel

Normal Load on Wheels due to Gradient

Go Normal Load on Wheels due to Gradient = Vehicle Weight in Newtons*Acceleration due to Gravity*cos(Angle of Inclination of Ground from Horizontal)

Wheel Force

Go Wheel Force = 2*Engine Torque*Transmission Efficiency of Vehicle/Diameter of Wheel*Engine Speed in rpm/Wheel Speed

Curb Force for Driven Wheel

Go Curb Force for Driven Wheel = (Weight on Single Wheel*Contact Point Distance from Wheel Center Axis)/(Effective Radius of Wheel-Height of Curb)

Slip of Tire

Go Slip of Tire = ((Forward Velocity of Vehicle-Vehicle Wheel Angular Velocity*Effective Radius of Wheel)/Forward Velocity of Vehicle)*100

Gradient Resistance of Vehicle

Go Gradient Resistance = Vehicle Weight in Newtons*Acceleration due to Gravity*sin(Angle of Inclination of Ground from Horizontal)

Longitudinal Slip Velocity

Go Longitudinal Slip Velocity = Axle Speed over Roadway*cos(Slip Angle)-Circumferential Velocity of Tire under Traction

Contact Point of Wheel and Curb Distance from Wheel Center Axis

Go Contact Point Distance from Wheel Center Axis = sqrt(2*Effective Radius of Wheel*(Height of Curb-Height of Curb^2))

Traction Force Required to Climb Curb

Go Traction Force required to Climb Curb = Weight on Single Wheel*cos(Angle between Traction Force and Horizontal Axis)

Angle between Traction Force and Horizontal Axis

Go Angle between Traction Force and Horizontal Axis = asin(1-Curb Height/Effective Radius of Wheel)

Longitudinal Slip Velocity for Zero Slip Angle

Go Longitudinal (Angular) Slip Velocity = Angular Velocity of Driven (or braked) Wheel-Angular Velocity of Free Rolling Wheel

Lateral Slip Velocity

Go Lateral Slip Velocity = Axle Speed over Roadway*sin(Slip Angle)

Mechanical Advantage of Wheel and Axle

Go Mechanical Advantage of Wheel and Axle = Effective Radius of Wheel/Radius of Axle

Wheel Diameter of Vehicle

Go Wheel Diameter of Vehicle = Rim Diameter+2*Tire Side Wall Height

Tire Side Wall Height

Go Tire Side Wall Height = (Aspect Ratio of Tire*Tire Width)/100

Aspect Ratio of Tire

Go Aspect Ratio of Tire = Tire Side Wall Height/Tire Width*100

Variation of Rolling Resistance Coefficient at Varying Speed

Go Rolling Resistance Coefficient = 0.01*(1+Vehicle Speed/100)

Circumference of Wheel

Go Wheel Circumference = 3.1415*Wheel Diameter of Vehicle

Wheel Radius of Vehicle

Go Wheel Radius in Meter = Wheel Diameter of Vehicle/2

Traction Force Required to Climb Curb Formula

Traction Force required to Climb Curb = Weight on Single Wheel*cos(Angle between Traction Force and Horizontal Axis)
R = G*cos(θ)

What is the traction force required to climb a curb?

When the wheel(s) receive torque from the powertrain, climbing a curb is easier, since it requires less force/torque. The torque T [Nm] coming from the engine (motor) will generate a traction force R [N] and a normal force N [N] in the contact point P. The case in which the wheel gets torque from the powertrain and generates a traction force in the contact point with the curb is the traction force that acts to push the vehicle up the curb.

How to Calculate Traction Force Required to Climb Curb?

Traction Force Required to Climb Curb calculator uses Traction Force required to Climb Curb = Weight on Single Wheel*cos(Angle between Traction Force and Horizontal Axis) to calculate the Traction Force required to Climb Curb, The Traction force required to climb curb. formula is defined as the force in which the wheel gets torque from the powertrain and generates a traction force in the contact point with the curb. Traction Force required to Climb Curb is denoted by R symbol.

How to calculate Traction Force Required to Climb Curb using this online calculator? To use this online calculator for Traction Force Required to Climb Curb, enter Weight on Single Wheel (G) & Angle between Traction Force and Horizontal Axis (θ) and hit the calculate button. Here is how the Traction Force Required to Climb Curb calculation can be explained with given input values -> 3859.411 = 5000*cos(0.689).

FAQ

What is Traction Force Required to Climb Curb?

The Traction force required to climb curb. formula is defined as the force in which the wheel gets torque from the powertrain and generates a traction force in the contact point with the curb and is represented as R = G*cos(θ) or Traction Force required to Climb Curb = Weight on Single Wheel*cos(Angle between Traction Force and Horizontal Axis). Weight on Single Wheel is defined as the weight force acting on the single wheel of vehicle & Angle between Traction Force and Horizontal Axis is the angle made between the traction force that pushes the wheel above curb and the horizontal wheel axis.

How to calculate Traction Force Required to Climb Curb?

The Traction force required to climb curb. formula is defined as the force in which the wheel gets torque from the powertrain and generates a traction force in the contact point with the curb is calculated using Traction Force required to Climb Curb = Weight on Single Wheel*cos(Angle between Traction Force and Horizontal Axis). To calculate Traction Force Required to Climb Curb, you need Weight on Single Wheel (G) & Angle between Traction Force and Horizontal Axis (θ). With our tool, you need to enter the respective value for Weight on Single Wheel & Angle between Traction Force and Horizontal Axis 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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