Contact Point of Wheel and Curb Distance from Wheel Center Axis 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

✖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%
✖Height of Curb is defined as the vertical length of the edge or curb which is climbed by the wheel.ⓘ Height of Curb [h]			+10% -10%

✖Contact Point Distance from Wheel Center Axis is defined as the horizontal distance between contact point of curb and wheel and wheel' center axis.ⓘ Contact Point of Wheel and Curb Distance from Wheel Center Axis [s]

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Formula

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Contact Point of Wheel and Curb Distance from Wheel Center Axis

Formula

`"s" = sqrt(2*"r"_{"d"}*("h"-"h"^2))`

Example

`"0.363923m"=sqrt(2*"0.55m"*("0.14m"-("0.14m")^2))`

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Download Tire Behavior in Racing Car Formulas PDF

Contact Point of Wheel and Curb Distance from Wheel Center Axis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Contact Point Distance from Wheel Center Axis = sqrt(2*Effective Radius of Wheel*(Height of Curb-Height of Curb^2))
s = sqrt(2*r_d*(h-h^2))
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Contact Point Distance from Wheel Center Axis - (Measured in Meter) - Contact Point Distance from Wheel Center Axis is defined as the horizontal distance between contact point of curb and wheel and wheel' center axis.
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.
Height of Curb - (Measured in Meter) - Height of Curb is defined as the vertical length of the edge or curb which is climbed by the wheel.

STEP 1: Convert Input(s) to Base Unit

Effective Radius of Wheel: 0.55 Meter --> 0.55 Meter No Conversion Required
Height of Curb: 0.14 Meter --> 0.14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s = sqrt(2*r_d*(h-h^2)) --> sqrt(2*0.55*(0.14-0.14^2))

Evaluating ... ...

s = 0.363923068793392

STEP 3: Convert Result to Output's Unit

0.363923068793392 Meter --> No Conversion Required

FINAL ANSWER

0.363923068793392 ≈ 0.363923 Meter <-- Contact Point Distance from Wheel Center Axis

(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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< 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

Contact Point of Wheel and Curb Distance from Wheel Center Axis Formula

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

What is the contact point distance from wheel center axis?

Contact point distance from wheel center axis is defined as the horizontal distance between contact point of curb and wheel and wheel' center axis.

How to Calculate Contact Point of Wheel and Curb Distance from Wheel Center Axis?

Contact Point of Wheel and Curb Distance from Wheel Center Axis calculator uses Contact Point Distance from Wheel Center Axis = sqrt(2*Effective Radius of Wheel*(Height of Curb-Height of Curb^2)) to calculate the Contact Point Distance from Wheel Center Axis, The Contact point of wheel and curb distance from wheel center axis formula is defined as the horizontal distance between contact point of curb and wheel and wheel' center axis. Contact Point Distance from Wheel Center Axis is denoted by s symbol.

How to calculate Contact Point of Wheel and Curb Distance from Wheel Center Axis using this online calculator? To use this online calculator for Contact Point of Wheel and Curb Distance from Wheel Center Axis, enter Effective Radius of Wheel (r_d) & Height of Curb (h) and hit the calculate button. Here is how the Contact Point of Wheel and Curb Distance from Wheel Center Axis calculation can be explained with given input values -> 0.363923 = sqrt(2*0.55*(0.14-0.14^2)).

FAQ

What is Contact Point of Wheel and Curb Distance from Wheel Center Axis?

The Contact point of wheel and curb distance from wheel center axis formula is defined as the horizontal distance between contact point of curb and wheel and wheel' center axis and is represented as s = sqrt(2*r_d*(h-h^2)) or Contact Point Distance from Wheel Center Axis = sqrt(2*Effective Radius of Wheel*(Height of Curb-Height of Curb^2)). The Effective radius of Wheel is the radius of the part of the wheel which remains undeformed while rolling & Height of Curb is defined as the vertical length of the edge or curb which is climbed by the wheel.

How to calculate Contact Point of Wheel and Curb Distance from Wheel Center Axis?

The Contact point of wheel and curb distance from wheel center axis formula is defined as the horizontal distance between contact point of curb and wheel and wheel' center axis is calculated using Contact Point Distance from Wheel Center Axis = sqrt(2*Effective Radius of Wheel*(Height of Curb-Height of Curb^2)). To calculate Contact Point of Wheel and Curb Distance from Wheel Center Axis, you need Effective Radius of Wheel (r_d) & Height of Curb (h). With our tool, you need to enter the respective value for Effective Radius of Wheel & Height of Curb 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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