Rear Bump Allowance given Rear Ride Rate Calculator

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Race Car Vehicle Dynamics

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Ride Rate and Ride Frequency for Race Cars

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Wheel Centre Rates for Independent Suspension

✖Rear Outside Wheel Change is the difference between the load on the rear outside wheel during cornering and the load during straight path travel.ⓘ Rear Outside Wheel Change [ΔW_RO]			+10% -10%
✖Rear Ride Rate is defined as vertical force per unit vertical displacement of the tire ground contact with respect to chassis.ⓘ Rear Ride Rate [K_RR]			+10% -10%

✖Rear Bump Allowance vertical movement of the spring when the vehicle encounters a full bump.ⓘ Rear Bump Allowance given Rear Ride Rate [x₂]

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Formula

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Rear Bump Allowance given Rear Ride Rate

Formula

`"x"_{"2"} = ("ΔW"_{"RO"}*"[g]")/"K"_{"RR"}`

Example

`"0.05m"=("161.87kg"*"[g]")/"31748N/m"`

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Download Ride Rate and Ride Frequency for Race Cars Formulas PDF

Rear Bump Allowance given Rear Ride Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rear Bump Allowance = (Rear Outside Wheel Change*[g])/Rear Ride Rate
x₂ = (ΔW_RO*[g])/K_RR
This formula uses 1 Constants, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Rear Bump Allowance - (Measured in Meter) - Rear Bump Allowance vertical movement of the spring when the vehicle encounters a full bump.
Rear Outside Wheel Change - (Measured in Kilogram) - Rear Outside Wheel Change is the difference between the load on the rear outside wheel during cornering and the load during straight path travel.
Rear Ride Rate - (Measured in Newton per Meter) - Rear Ride Rate is defined as vertical force per unit vertical displacement of the tire ground contact with respect to chassis.

STEP 1: Convert Input(s) to Base Unit

Rear Outside Wheel Change: 161.87 Kilogram --> 161.87 Kilogram No Conversion Required
Rear Ride Rate: 31748 Newton per Meter --> 31748 Newton per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x₂ = (ΔW_RO*[g])/K_RR --> (161.87*[g])/31748

Evaluating ... ...

x₂ = 0.0500000767134938

STEP 3: Convert Result to Output's Unit

0.0500000767134938 Meter --> No Conversion Required

FINAL ANSWER

0.0500000767134938 ≈ 0.05 Meter <-- Rear Bump Allowance

(Calculation completed in 00.004 seconds)

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

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< 12 Ride Rate and Ride Frequency for Race Cars Calculators

Front Ride Frequency

Go Ride Frequency = 0.5/pi*sqrt(Front Ride Rate/Load on Individual Wheel in Static Condition)

Rear Ride Frequency

Go Ride Frequency = 0.5/pi*sqrt(Rear Ride Rate/Load on Individual Wheel in Static Condition)

Load on Front Wheel given Front Ride Frequency

Go Load on Individual Wheel in Static Condition = Front Ride Rate/((Ride Frequency*2*pi)^2)

Load on Rear Wheel given Rear Ride Frequency

Go Load on Individual Wheel in Static Condition = Rear Ride Rate/((Ride Frequency*2*pi)^2)

Front Ride Rate given Front Ride Frequency

Go Front Ride Rate = (Ride Frequency*2*pi)^2*Load on Individual Wheel in Static Condition

Rear Ride Rate given Rear Ride Frequency

Go Rear Ride Rate = (Ride Frequency*2*pi)^2*Load on Individual Wheel in Static Condition

Front Outside Wheel Load Change given Front Ride Rate

Go Front Outside Wheel Change = (Front Bump Allowance*Front Ride Rate)/[g]

Front Bump Allowance given Front Ride Rate

Go Front Bump Allowance = (Front Outside Wheel Change*[g])/Front Ride Rate

Front Ride Rate

Go Front Ride Rate = (Front Outside Wheel Change*[g])/Front Bump Allowance

Rear Outside Wheel Load Change given Rear Ride Rate

Go Rear Outside Wheel Change = (Rear Bump Allowance*Rear Ride Rate)/[g]

Rear Bump Allowance given Rear Ride Rate

Go Rear Bump Allowance = (Rear Outside Wheel Change*[g])/Rear Ride Rate

Rear Ride Rate

Go Rear Ride Rate = (Rear Outside Wheel Change*[g])/Rear Bump Allowance

Rear Bump Allowance given Rear Ride Rate Formula

Rear Bump Allowance = (Rear Outside Wheel Change*[g])/Rear Ride Rate
x₂ = (ΔW_RO*[g])/K_RR

Ride rates in a vehicle

Ride rate refers to the rate of change of tire normal force with vertical body movement and roll rate refers to the rate of change of tire normal force with body roll about its roll axis. The ride and roll rates of the car affect the wheel loading wrt the body position change and the wheel load or tire normal force determines the available tire lateral/longitudinal forces which directly impacts the vehicle performance. Individual suspension components like springs and antiroll bar affect the vehicle ride and roll. The ride performance of the car is many a times in conflict with the roll performance and hence choosing the correct springs and anti roll bar is often a balancing act.

How to Calculate Rear Bump Allowance given Rear Ride Rate?

Rear Bump Allowance given Rear Ride Rate calculator uses Rear Bump Allowance = (Rear Outside Wheel Change*[g])/Rear Ride Rate to calculate the Rear Bump Allowance, The Rear bump allowance given rear ride rate formula is used to find the vertical movement of the spring when the vehicle encounters a full bump. Rear Bump Allowance is denoted by x₂ symbol.

How to calculate Rear Bump Allowance given Rear Ride Rate using this online calculator? To use this online calculator for Rear Bump Allowance given Rear Ride Rate, enter Rear Outside Wheel Change (ΔW_RO) & Rear Ride Rate (K_RR) and hit the calculate button. Here is how the Rear Bump Allowance given Rear Ride Rate calculation can be explained with given input values -> 0.05 = (161.87*[g])/31748.

FAQ

What is Rear Bump Allowance given Rear Ride Rate?

The Rear bump allowance given rear ride rate formula is used to find the vertical movement of the spring when the vehicle encounters a full bump and is represented as x₂ = (ΔW_RO*[g])/K_RR or Rear Bump Allowance = (Rear Outside Wheel Change*[g])/Rear Ride Rate. Rear Outside Wheel Change is the difference between the load on the rear outside wheel during cornering and the load during straight path travel & Rear Ride Rate is defined as vertical force per unit vertical displacement of the tire ground contact with respect to chassis.

How to calculate Rear Bump Allowance given Rear Ride Rate?

The Rear bump allowance given rear ride rate formula is used to find the vertical movement of the spring when the vehicle encounters a full bump is calculated using Rear Bump Allowance = (Rear Outside Wheel Change*[g])/Rear Ride Rate. To calculate Rear Bump Allowance given Rear Ride Rate, you need Rear Outside Wheel Change (ΔW_RO) & Rear Ride Rate (K_RR). With our tool, you need to enter the respective value for Rear Outside Wheel Change & Rear Ride Rate and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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