Wheel rate 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

✖Spring rate is the amount of weight in newtons that is needed to compress a spring by one metre.ⓘ Spring rate [K]			+10% -10%
✖Installation ratio is the ratio between how much the spring and damper move in relation to how far the wheel and tyre move.ⓘ Installation ratio [IR]			+10% -10%
✖Damper angle from vertical is the angle made by the damper with the vertical.ⓘ Damper angle from vertical [Φ]			+10% -10%

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

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Formula

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Wheel rate

Formula

`"K"_{"t"} = "K"*("IR"^2)*cos("Φ")`

Example

`"15137.48N/m"="61484N/m"*(("0.5")^2)*cos("10°")`

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Wheel rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wheel rate of vehicle = Spring rate*(Installation ratio^2)*cos(Damper angle from vertical)
K_t = K*(IR^2)*cos(Φ)
This formula uses 1 Functions, 4 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

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.
Spring rate - (Measured in Newton per Meter) - Spring rate is the amount of weight in newtons that is needed to compress a spring by one metre.
Installation ratio - Installation ratio is the ratio between how much the spring and damper move in relation to how far the wheel and tyre move.
Damper angle from vertical - (Measured in Radian) - Damper angle from vertical is the angle made by the damper with the vertical.

STEP 1: Convert Input(s) to Base Unit

Spring rate: 61484 Newton per Meter --> 61484 Newton per Meter No Conversion Required
Installation ratio: 0.5 --> No Conversion Required
Damper angle from vertical: 10 Degree --> 0.1745329251994 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_t = K*(IR^2)*cos(Φ) --> 61484*(0.5^2)*cos(0.1745329251994)

Evaluating ... ...

K_t = 15137.4799715507

STEP 3: Convert Result to Output's Unit

15137.4799715507 Newton per Meter --> No Conversion Required

FINAL ANSWER

15137.4799715507 ≈ 15137.48 Newton per Meter <-- Wheel rate of vehicle

(Calculation completed in 00.004 seconds)

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Created by Peri Krishna Karthik

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

Peri Krishna Karthik has created this Calculator and 200+ more calculators!

Verified by sanjay shiva

national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh

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< 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 Formula

Wheel rate of vehicle = Spring rate*(Installation ratio^2)*cos(Damper angle from vertical)
K_t = K*(IR^2)*cos(Φ)

More about Wheel rate

Wheel rate is a measure of the effective stiffness of the suspension system measured at the wheel center. The wheel rate is the slope of a graph plotting wheel force vs wheel travel. It is expressed in Newtons per meter or N/m.

The primary contributor to the wheel rate is the suspension spring. If the suspension system has rubber bushes at the joints, the torsional stiffness of the bushes also contributes to the wheel rate of the suspension. Wheel rate in roll also includes the contribution of the anti-roll bar. The wheel rate of a suspension system can be used to calculate the ride frequency of a vehicle if the sprung mass is known.

How to Calculate Wheel rate?

Wheel rate calculator uses Wheel rate of vehicle = Spring rate*(Installation ratio^2)*cos(Damper angle from vertical) to calculate the Wheel rate of vehicle, The Wheel rate formula is used to find the measure of the effective stiffness of the suspension system measured at the wheel center. Wheel rate of vehicle is denoted by K_t symbol.

How to calculate Wheel rate using this online calculator? To use this online calculator for Wheel rate, enter Spring rate (K), Installation ratio (IR) & Damper angle from vertical (Φ) and hit the calculate button. Here is how the Wheel rate calculation can be explained with given input values -> 15137.48 = 61484*(0.5^2)*cos(0.1745329251994).

FAQ

What is Wheel rate?

The Wheel rate formula is used to find the measure of the effective stiffness of the suspension system measured at the wheel center and is represented as K_t = K*(IR^2)*cos(Φ) or Wheel rate of vehicle = Spring rate*(Installation ratio^2)*cos(Damper angle from vertical). Spring rate is the amount of weight in newtons that is needed to compress a spring by one metre, Installation ratio is the ratio between how much the spring and damper move in relation to how far the wheel and tyre move & Damper angle from vertical is the angle made by the damper with the vertical.

How to calculate Wheel rate?

The Wheel rate formula is used to find the measure of the effective stiffness of the suspension system measured at the wheel center is calculated using Wheel rate of vehicle = Spring rate*(Installation ratio^2)*cos(Damper angle from vertical). To calculate Wheel rate, you need Spring rate (K), Installation ratio (IR) & Damper angle from vertical (Φ). With our tool, you need to enter the respective value for Spring rate, Installation ratio & Damper angle from vertical 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 Spring rate, Installation ratio & Damper angle from vertical. We can use 2 other way(s) to calculate the same, which is/are as follows -

Wheel rate of vehicle = Stiffness of Spring*((Motion ratio in suspension)^2)*(Spring angle correction factor)
Wheel rate of vehicle = (2*Roll rate/ Roll stiffness)/Track Width of Vehicle^2

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