Wheel rate in vehicle Calculator

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Race Car Vehicle Dynamics

Driveline

Front Axle and Steering

Suspension Geometry

Vehicle Collision

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Rates for Axle Suspension in Race Car

Ride Rate and Ride Frequency for Race Cars

Tire Behavior in Racing Car

Vehicle Cornering in Race Cars

Weight Transfer during Braking

Wheel Centre Rates for Independent Suspension

✖Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.ⓘ Stiffness of Spring [k]			+10% -10%
✖Motion ratio in suspension is ratio of shock travel to the corresponding wheel travel.ⓘ Motion ratio in suspension [M.R.]			+10% -10%
✖Spring angle correction factor is cosine of the angle of the spring/shock absorber with vertical when viewed from front view of car.ⓘ Spring angle correction factor [cosθ]			+10% -10%

✖Wheel rate of vehicle is effectively the spring rate when measured at the wheel as opposed to at the spring.ⓘ Wheel rate in vehicle [K_t]

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Formula

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Wheel rate in vehicle

Formula

`"K"_{"t"} = "k"*(("M.R.")^2)*("cosθ")`

Example

`"0.514781N/m"="0.75N/m"*(("0.85")^2)*("0.95")`

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Download Race Car Vehicle Dynamics Formula PDF

Wheel rate in vehicle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wheel rate of vehicle = Stiffness of Spring*((Motion ratio in suspension)^2)*(Spring angle correction factor)
K_t = k*((M.R.)^2)*(cosθ)
This formula uses 4 Variables

Variables Used

Wheel rate of vehicle - (Measured in Newton per Meter) - Wheel rate of vehicle is effectively the spring rate when measured at the wheel as opposed to at the spring.
Stiffness of Spring - (Measured in Newton per Meter) - Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.
Motion ratio in suspension - Motion ratio in suspension is ratio of shock travel to the corresponding wheel travel.
Spring angle correction factor - Spring angle correction factor is cosine of the angle of the spring/shock absorber with vertical when viewed from front view of car.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Spring: 0.75 Newton per Meter --> 0.75 Newton per Meter No Conversion Required
Motion ratio in suspension: 0.85 --> No Conversion Required
Spring angle correction factor: 0.95 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_t = k*((M.R.)^2)*(cosθ) --> 0.75*((0.85)^2)*(0.95)

Evaluating ... ...

K_t = 0.51478125

STEP 3: Convert Result to Output's Unit

0.51478125 Newton per Meter --> No Conversion Required

FINAL ANSWER

0.51478125 ≈ 0.514781 Newton per Meter <-- Wheel rate of vehicle

(Calculation completed in 00.004 seconds)

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Created by Vivek Gaikwad

AISSMS College of Engineering, Pune (AISSMSCOE, Pune), Pune

Vivek Gaikwad has created this Calculator and 25+ more calculators!

Verified by Vedant Chitte

All India Shri Shivaji Memorials Society's ,College of Engineering (AISSMS COE PUNE), Pune

Vedant Chitte has verified this Calculator and 4 more calculators!

< 12 Race Car Vehicle Dynamics Calculators

Height of Center of Gravity of Vehicle by method of jacking Vehicle from Rear

Go Height of Center of gravity (C.G.) of vehicle = (Loaded radius of front wheels*(Horizontal distance of C.G. From rear axle/Wheelbase of Vehicle))+(Loaded radius of rear wheels*(Horizontal distance of C.G. From rear axle/Wheelbase of Vehicle))+(((Weight of front wheels with rear elevated*Wheelbase of Vehicle)-(Mass of vehicle*Horizontal distance of C.G. From rear axle))/(Mass of vehicle*tan(Angle through which rear axle of vehicle raised)))

Spring rate required for coilover given desired droop and motion ratio

Go Stiffness of Spring = Corner sprung mass of vehicle*Acceleration due to Gravity/(Motion ratio in suspension*Wheel travel*cos(Angle of spring/shock absorber from vertical))

Spring rate provided Wheel rate

Go Stiffness of Spring = Wheel rate of vehicle/(((Motion ratio in suspension)^2)*(cos(Angle of spring/shock absorber from vertical)))

Installation Ratio given Wheel Rate

Go Installation ratio = sqrt(Wheel rate of vehicle/(Spring rate*cos(Damper angle from vertical)))

Damper angle from Vertical given wheel rate

Go Damper angle from vertical = acos(Wheel rate of vehicle/(Spring rate*(Installation ratio^2)))

Spring rate given wheel rate

Go Spring rate = Wheel rate of vehicle/((Installation ratio^2)*cos(Damper angle from vertical))

Wheel rate

Go Wheel rate of vehicle = Spring rate*(Installation ratio^2)*cos(Damper angle from vertical)

Wheel rate in vehicle

Go Wheel rate of vehicle = Stiffness of Spring*((Motion ratio in suspension)^2)*(Spring angle correction factor)

Track Width of Vehicle given Wheel rate and Roll rate

Go Track Width of Vehicle = sqrt((2*Roll rate/ Roll stiffness)/Wheel rate of vehicle)

Spring angle correction factor

Go Spring angle correction factor = cos(Angle of spring/shock absorber from vertical)

Roll rate or Roll stiffness

Go Roll rate/ Roll stiffness = ((Track Width of Vehicle^2)*Wheel rate of vehicle)/2

Wheel rate given Roll rate

Go Wheel rate of vehicle = (2*Roll rate/ Roll stiffness)/Track Width of Vehicle^2

Wheel rate in vehicle Formula

Wheel rate of vehicle = Stiffness of Spring*((Motion ratio in suspension)^2)*(Spring angle correction factor)
K_t = k*((M.R.)^2)*(cosθ)

All about Wheel rate of vehicle

Wheel rate is effectively the spring rate when measured at the wheel as opposed to at the spring. It is important to understand the wheel rate of a vehicle for calculating the spring rates and understanding the car dynamically. Wheel Rate is the effective spring rate at the wheel, due to the leverage advantage the wheel has with respect to the spring on the control arm.

How to Calculate Wheel rate in vehicle?

Wheel rate in vehicle calculator uses Wheel rate of vehicle = Stiffness of Spring*((Motion ratio in suspension)^2)*(Spring angle correction factor) to calculate the Wheel rate of vehicle, Wheel rate in vehicle is effectively the spring rate when measured at the wheel as opposed to at the spring. Wheel rate of vehicle is denoted by K_t symbol.

How to calculate Wheel rate in vehicle using this online calculator? To use this online calculator for Wheel rate in vehicle, enter Stiffness of Spring (k), Motion ratio in suspension (M.R.) & Spring angle correction factor (cosθ) and hit the calculate button. Here is how the Wheel rate in vehicle calculation can be explained with given input values -> 0.514781 = 0.75*((0.85)^2)*(0.95).

FAQ

What is Wheel rate in vehicle?

Wheel rate in vehicle is effectively the spring rate when measured at the wheel as opposed to at the spring and is represented as K_t = k*((M.R.)^2)*(cosθ) or Wheel rate of vehicle = Stiffness of Spring*((Motion ratio in suspension)^2)*(Spring angle correction factor). Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness, Motion ratio in suspension is ratio of shock travel to the corresponding wheel travel & Spring angle correction factor is cosine of the angle of the spring/shock absorber with vertical when viewed from front view of car.

How to calculate Wheel rate in vehicle?

Wheel rate in vehicle is effectively the spring rate when measured at the wheel as opposed to at the spring is calculated using Wheel rate of vehicle = Stiffness of Spring*((Motion ratio in suspension)^2)*(Spring angle correction factor). To calculate Wheel rate in vehicle, you need Stiffness of Spring (k), Motion ratio in suspension (M.R.) & Spring angle correction factor (cosθ). With our tool, you need to enter the respective value for Stiffness of Spring, Motion ratio in suspension & Spring angle correction factor 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 rate of vehicle?

In this formula, Wheel rate of vehicle uses Stiffness of Spring, Motion ratio in suspension & Spring angle correction factor. We can use 2 other way(s) to calculate the same, which is/are as follows -

Wheel rate of vehicle = (2*Roll rate/ Roll stiffness)/Track Width of Vehicle^2
Wheel rate of vehicle = Spring rate*(Installation ratio^2)*cos(Damper angle from vertical)

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