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 = Kt/(((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 = Kt/(((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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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

Angle between Traction Force and Horizontal Axis
​ LaTeX ​ Go Angle between Traction Force and Horizontal Axis = asin(1-Curb Height/Effective Radius of Wheel)
Wheel Diameter of Vehicle
​ LaTeX ​ Go Wheel Diameter of Vehicle = Rim Diameter+2*Tire Side Wall Height
Tire Side Wall Height
​ LaTeX ​ Go Tire Side Wall Height = (Aspect Ratio of Tire*Tire Width)/100
Aspect Ratio of Tire
​ LaTeX ​ Go Aspect Ratio of Tire = Tire Side Wall Height/Tire Width*100

Stiffness of Spring provided Wheel rate Formula

​LaTeX ​Go
Stiffness of Spring = Wheel Rate of Vehicle/(((Motion Ratio in Suspension)^2)*(Spring Angle Correction Factor))
k = Kt/(((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 (Kt), 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 = Kt/(((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 (Kt), 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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