Spring rate provided Wheel rate Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stiffness of Spring = Wheel rate of vehicle/(((Motion ratio in suspension)^2)*(cos(Angle of spring/shock absorber from vertical)))
k = Kt/(((M.R.)^2)*(cos(θ)))
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
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.
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.
Motion ratio in suspension - Motion ratio in suspension is ratio of shock travel to the corresponding wheel travel.
Angle of spring/shock absorber from vertical - (Measured in Radian) - Angle of spring/shock absorber from vertical when viewed from front view of car.
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
Angle of spring/shock absorber from vertical: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
k = Kt/(((M.R.)^2)*(cos(θ))) --> 100/(((0.85)^2)*(cos(0.5235987755982)))
Evaluating ... ...
k = 159.820143720312
STEP 3: Convert Result to Output's Unit
159.820143720312 Newton per Meter --> No Conversion Required
FINAL ANSWER
159.820143720312 159.8201 Newton per Meter <-- Stiffness of Spring
(Calculation completed in 00.004 seconds)

Credits

Created by Vivek Gaikwad
AISSMS College of Engineering, Pune (AISSMSCOE, Pune), Pune
Vivek Gaikwad has created this Calculator and 25+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ 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

Spring rate provided Wheel rate Formula

Stiffness of Spring = Wheel rate of vehicle/(((Motion ratio in suspension)^2)*(cos(Angle of spring/shock absorber from vertical)))
k = Kt/(((M.R.)^2)*(cos(θ)))

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 Spring rate provided Wheel rate?

Spring rate provided Wheel rate calculator uses Stiffness of Spring = Wheel rate of vehicle/(((Motion ratio in suspension)^2)*(cos(Angle of spring/shock absorber from vertical))) to calculate the Stiffness of Spring, The Spring rate provided Wheel rate is the amount of force required to cause unit deflection in spring. Stiffness of Spring is denoted by k symbol.

How to calculate Spring rate provided Wheel rate using this online calculator? To use this online calculator for Spring rate provided Wheel rate, enter Wheel rate of vehicle (Kt), Motion ratio in suspension (M.R.) & Angle of spring/shock absorber from vertical (θ) and hit the calculate button. Here is how the Spring rate provided Wheel rate calculation can be explained with given input values -> 159.8201 = 100/(((0.85)^2)*(cos(0.5235987755982))).

FAQ

What is Spring rate provided Wheel rate?
The Spring rate provided Wheel rate is the amount of force required to cause unit deflection in spring and is represented as k = Kt/(((M.R.)^2)*(cos(θ))) or Stiffness of Spring = Wheel rate of vehicle/(((Motion ratio in suspension)^2)*(cos(Angle of spring/shock absorber from vertical))). Wheel rate of vehicle is effectively the spring rate when measured at the wheel as opposed to at the spring, Motion ratio in suspension is ratio of shock travel to the corresponding wheel travel & Angle of spring/shock absorber from vertical when viewed from front view of car.
How to calculate Spring rate provided Wheel rate?
The Spring rate provided Wheel rate is the amount of force required to cause unit deflection in spring is calculated using Stiffness of Spring = Wheel rate of vehicle/(((Motion ratio in suspension)^2)*(cos(Angle of spring/shock absorber from vertical))). To calculate Spring rate provided Wheel rate, you need Wheel rate of vehicle (Kt), Motion ratio in suspension (M.R.) & Angle of spring/shock absorber from vertical (θ). With our tool, you need to enter the respective value for Wheel rate of vehicle, Motion ratio in suspension & Angle of spring/shock absorber 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 Stiffness of Spring?
In this formula, Stiffness of Spring uses Wheel rate of vehicle, Motion ratio in suspension & Angle of spring/shock absorber from vertical. 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))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!