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Spring rate required for coilover given desired droop and motion ratio Formula

GoStiffness of Spring provided Wheel rate Formula

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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. Check FAQs

k = W cs \cdot \frac{g}{M.R. \cdot W.T. \cdot \cos (θ s)}

k - Stiffness of Spring?W_cs - Corner Sprung Mass of Vehicle?g - Acceleration due to Gravity?M.R. - Motion Ratio in Suspension?W.T. - Wheel Travel?θ_s - Angle of Spring/Shock Absorber from Vertical?

Spring rate required for coilover given desired droop and motion ratio Example

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Here is how the Spring rate required for coilover given desired droop and motion ratio equation looks like with Values.

Here is how the Spring rate required for coilover given desired droop and motion ratio equation looks like with Units.

Here is how the Spring rate required for coilover given desired droop and motion ratio equation looks like.

160.8213 = 1.208 \cdot \frac{9.8}{0.85 \cdot 100 \cdot \cos (30)}

160.8213N/m = 1.208kg \cdot \frac{9.8m/s²}{0.85 \cdot 100mm \cdot \cos (30°)}

160.8213 = 1.208 \cdot \frac{9.8}{0.85 \cdot 100 \cdot \cos (30)}

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Spring rate required for coilover given desired droop and motion ratio Solution

Follow our step by step solution on how to calculate Spring rate required for coilover given desired droop and motion ratio?

FIRST Step Consider the formula

k = W cs \cdot \frac{g}{M.R. \cdot W.T. \cdot \cos (θ s)}

Next Step Substitute values of Variables

∴

k = 1.208kg \cdot \frac{9.8m/s²}{0.85 \cdot 100mm \cdot \cos (30°)}

Next Step Convert Units

∴

k = 1.208kg \cdot \frac{9.8m/s²}{0.85 \cdot 0.1m \cdot \cos (0.5236rad)}

Next Step Prepare to Evaluate

∴

k = 1.208 \cdot \frac{9.8}{0.85 \cdot 0.1 \cdot \cos (0.5236)}

Next Step Evaluate

∴

k = 160.821257100576N/m

LAST Step Rounding Answer

∴

k = 160.8213N/m

Spring rate required for coilover given desired droop and motion ratio Formula Elements

Variables

Functions

Stiffness of Spring

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.

Symbol: k

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Corner Sprung Mass of Vehicle

Corner sprung mass of vehicle is the mass of the vehicle's sprung components, including the chassis, engine, and transmission, affecting tire behavior in racing.

Symbol: W_cs

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Acceleration due to Gravity

Acceleration due to Gravity is the downward force exerted on a racing car's tires, affecting its speed, handling, and overall performance on a track.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

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.

Symbol: M.R.

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Wheel Travel

Wheel travel is the maximum distance that a tire moves upward and downward while maintaining contact with the racing track, affecting the car's overall performance.

Symbol: W.T.

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Angle of Spring/Shock Absorber from Vertical

Angle of spring/shock absorber from vertical is the inclination of the spring or shock absorber from the vertical axis in a racing car's tire behavior.

Symbol: θ_s

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Credits

Created by Vivek Gaikwad

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

Vivek Gaikwad has created this Formula and 25+ more formulas!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Formula and 2500+ more formulas!

Other Formulas to find Stiffness of Spring

Go Stiffness of Spring provided Wheel rate

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

Other formulas in Wheel Parameters category

Go Angle between Traction Force and Horizontal Axis

θ = a \sin (1 - \frac{h curb}{r d})

Go Tire Side Wall Height

H = \frac{AR \cdot W}{100}

Go Aspect Ratio of Tire

AR = \frac{H}{W} \cdot 100

Go Wheel Diameter of Vehicle

d w = D + 2 \cdot H

How to Evaluate Spring rate required for coilover given desired droop and motion ratio?

Spring rate required for coilover given desired droop and motion ratio evaluator uses 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)) to evaluate the Stiffness of Spring, Spring rate required for coilover given desired droop and motion ratio formula is defined as a measure of the stiffness of a coilover suspension system, which is critical in determining the vehicle's ride quality, handling, and overall performance, taking into account the weight of the vehicle, motion ratio, and desired droop. Stiffness of Spring is denoted by k symbol.

How to evaluate Spring rate required for coilover given desired droop and motion ratio using this online evaluator? To use this online evaluator for Spring rate required for coilover given desired droop and motion ratio, enter Corner Sprung Mass of Vehicle (W_cs), Acceleration due to Gravity (g), Motion Ratio in Suspension (M.R.), Wheel Travel (W.T.) & Angle of Spring/Shock Absorber from Vertical (θ_s) and hit the calculate button.

FAQs on Spring rate required for coilover given desired droop and motion ratio

What is the formula to find Spring rate required for coilover given desired droop and motion ratio?

The formula of Spring rate required for coilover given desired droop and motion ratio is expressed as 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)). Here is an example- 160.8213 = 1.208*9.8/(0.85*0.1*cos(0.5235987755982)).

How to calculate Spring rate required for coilover given desired droop and motion ratio?

With Corner Sprung Mass of Vehicle (W_cs), Acceleration due to Gravity (g), Motion Ratio in Suspension (M.R.), Wheel Travel (W.T.) & Angle of Spring/Shock Absorber from Vertical (θ_s) we can find Spring rate required for coilover given desired droop and motion ratio using the formula - 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)). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Stiffness of Spring?

Here are the different ways to Calculate Stiffness of Spring-

Stiffness of Spring=Wheel Rate of Vehicle/(((Motion Ratio in Suspension)^2)*(Spring Angle Correction Factor))

Can the Spring rate required for coilover given desired droop and motion ratio be negative?

No, the Spring rate required for coilover given desired droop and motion ratio, measured in Surface Tension cannot be negative.

Which unit is used to measure Spring rate required for coilover given desired droop and motion ratio?

Spring rate required for coilover given desired droop and motion ratio is usually measured using the Newton per Meter[N/m] for Surface Tension. Millinewton per Meter[N/m], Gram-Force per Centimeter[N/m], Dyne per Centimeter[N/m] are the few other units in which Spring rate required for coilover given desired droop and motion ratio can be measured.