Stiffness of Spring provided Wheel rate Calculator

✖Wheel rate of vehicle is the ratio of the spring rate of the suspension to the motion ratio of the tire, affecting the racing car's handling and stability.ⓘ Wheel Rate of Vehicle [K_t]			+10% -10%
✖Motion ratio in suspension is the ratio of the motion of the suspension to the motion of the wheel in a racing car, affecting its overall performance.ⓘ Motion Ratio in Suspension [M.R.]			+10% -10%
✖Spring angle correction factor is a measure of the adjustment made to the spring angle to optimize tire behavior and performance in racing cars.ⓘ Spring Angle Correction Factor [cosθ]			+10% -10%

✖Stiffness of Spring is the measure of a spring's resistance to deformation in a racing car's tire behavior, affecting its overall performance and handling.ⓘ Stiffness of Spring provided Wheel rate [k]

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Formula

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Stiffness of Spring provided Wheel rate

Formula

k = \frac{K t}{({(M.R.)}^{2}) \cdot (cosθ)}

Example

160.8931 N/m = \frac{100 N/m}{({(0.85)}^{2}) \cdot (0.86025)}

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Stiffness of Spring provided Wheel rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stiffness of Spring = Wheel Rate of Vehicle/(((Motion Ratio in Suspension)^2)*(Spring Angle Correction Factor))
k = K_t/(((M.R.)^2)*(cosθ))
This formula uses 4 Variables

Variables Used

Stiffness of Spring - (Measured in Newton per Meter) - Stiffness of Spring is the measure of a spring's resistance to deformation in a racing car's tire behavior, affecting its overall performance and handling.
Wheel Rate of Vehicle - (Measured in Newton per Meter) - Wheel rate of vehicle is the ratio of the spring rate of the suspension to the motion ratio of the tire, affecting the racing car's handling and stability.
Motion Ratio in Suspension - Motion ratio in suspension is the ratio of the motion of the suspension to the motion of the wheel in a racing car, affecting its overall performance.
Spring Angle Correction Factor - Spring angle correction factor is a measure of the adjustment made to the spring angle to optimize tire behavior and performance in racing cars.

STEP 1: Convert Input(s) to Base Unit

Wheel Rate of Vehicle: 100 Newton per Meter --> 100 Newton per Meter No Conversion Required
Motion Ratio in Suspension: 0.85 --> No Conversion Required
Spring Angle Correction Factor: 0.86025 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = K_t/(((M.R.)^2)*(cosθ)) --> 100/(((0.85)^2)*(0.86025))

Evaluating ... ...

k = 160.893117696332

STEP 3: Convert Result to Output's Unit

160.893117696332 Newton per Meter --> No Conversion Required

FINAL ANSWER

160.893117696332 ≈ 160.8931 Newton per Meter <-- Stiffness of Spring

(Calculation completed in 00.004 seconds)

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Home » Physics » Automobile » Race Car Vehicle Dynamics » Tire Behavior in Racing Car » Mechanical » Wheel Parameters » Stiffness of Spring provided Wheel rate

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Created by Vivek Gaikwad

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

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National Institute Of Technology (NIT), Hamirpur

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< Wheel Parameters Calculators

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))

Angle between Traction Force and Horizontal Axis

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

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

Stiffness of Spring provided Wheel rate Formula

Stiffness of Spring = Wheel Rate of Vehicle/(((Motion Ratio in Suspension)^2)*(Spring Angle Correction Factor))
k = K_t/(((M.R.)^2)*(cosθ))

What is Spring rate or stiffness?

A spring’s Spring Rate is the amount of weight required to deflect a spring by one unit (say one inch/meter). The lower the Spring Rate, the softer the spring. The softer the spring, the smoother the ride.

How to Calculate Stiffness of Spring provided Wheel rate?

Stiffness of Spring provided Wheel rate calculator uses Stiffness of Spring = Wheel Rate of Vehicle/(((Motion Ratio in Suspension)^2)*(Spring Angle Correction Factor)) to calculate the Stiffness of Spring, Stiffness of Spring provided Wheel rate formula is defined as the ratio of the transmissibility of the suspension system to the sprung mass, providing a measure of the stiffness of the suspension system in relation to the wheel rate, which affects the vehicle's ride and handling characteristics. Stiffness of Spring is denoted by k symbol.

How to calculate Stiffness of Spring provided Wheel rate using this online calculator? To use this online calculator for Stiffness of Spring provided Wheel rate, enter Wheel Rate of Vehicle (K_t), Motion Ratio in Suspension (M.R.) & Spring Angle Correction Factor (cosθ) and hit the calculate button. Here is how the Stiffness of Spring provided Wheel rate calculation can be explained with given input values -> 160.8931 = 100/(((0.85)^2)*(0.86025)).

FAQ

What is Stiffness of Spring provided Wheel rate?

Stiffness of Spring provided Wheel rate formula is defined as the ratio of the transmissibility of the suspension system to the sprung mass, providing a measure of the stiffness of the suspension system in relation to the wheel rate, which affects the vehicle's ride and handling characteristics and is represented as k = K_t/(((M.R.)^2)*(cosθ)) or Stiffness of Spring = Wheel Rate of Vehicle/(((Motion Ratio in Suspension)^2)*(Spring Angle Correction Factor)). Wheel rate of vehicle is the ratio of the spring rate of the suspension to the motion ratio of the tire, affecting the racing car's handling and stability, Motion ratio in suspension is the ratio of the motion of the suspension to the motion of the wheel in a racing car, affecting its overall performance & Spring angle correction factor is a measure of the adjustment made to the spring angle to optimize tire behavior and performance in racing cars.

How to calculate Stiffness of Spring provided Wheel rate?

Stiffness of Spring provided Wheel rate formula is defined as the ratio of the transmissibility of the suspension system to the sprung mass, providing a measure of the stiffness of the suspension system in relation to the wheel rate, which affects the vehicle's ride and handling characteristics is calculated using Stiffness of Spring = Wheel Rate of Vehicle/(((Motion Ratio in Suspension)^2)*(Spring Angle Correction Factor)). To calculate Stiffness of Spring provided Wheel rate, you need Wheel Rate of Vehicle (K_t), Motion Ratio in Suspension (M.R.) & Spring Angle Correction Factor (cosθ). With our tool, you need to enter the respective value for Wheel Rate of Vehicle, 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 Stiffness of Spring?

In this formula, Stiffness of Spring uses Wheel Rate of Vehicle, Motion Ratio in Suspension & Spring Angle Correction Factor. We can use 1 other way(s) to calculate the same, which is/are as follows -

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))

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