Tyre Rate Given Roll Rate Calculator

Formula Used:

\[ Kt = \frac{K\Phi \times \frac{Kw \times Ts^2}{2}}{\left(\frac{Kw \times Ts^2}{2} - K\Phi\right) \times \frac{tR^2}{2}} \]

Roll Rate (KΦ):

N·m/rad

Wheel Centre Rate (Kw):

N/m

Spring Track Width (Ts):

Rear Track Width (tR):

Tyre Vertical Rate (Kt):

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1. What is Tyre Vertical Rate?

Tyre Vertical Rate is the spring rate controlled by the tyre compound, sidewall stiffness and operating pressure. It represents the vertical force acting on the tire per unit vertical displacement.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Kt = \frac{K\Phi \times \frac{Kw \times Ts^2}{2}}{\left(\frac{Kw \times Ts^2}{2} - K\Phi\right) \times \frac{tR^2}{2}} \]

Where:

\( Kt \) — Tyre Vertical Rate (N/m)
\( K\Phi \) — Roll Rate (N·m/rad)
\( Kw \) — Wheel Centre Rate (N/m)
\( Ts \) — Spring Track Width (m)
\( tR \) — Rear Track Width (m)

Explanation: This formula calculates the tyre vertical rate based on roll rate, wheel center rate, and track width measurements.

3. Importance of Tyre Vertical Rate Calculation

Details: Accurate tyre vertical rate calculation is crucial for vehicle suspension design, ride comfort analysis, and handling characteristics optimization.

4. Using the Calculator

Tips: Enter all values in appropriate units (N·m/rad for roll rate, N/m for wheel rate, meters for track widths). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What factors affect tyre vertical rate?
A: Tyre compound, sidewall stiffness, operating pressure, and temperature all influence the tyre vertical rate.

Q2: How does tyre vertical rate affect vehicle performance?
A: It affects ride comfort, handling characteristics, and overall vehicle dynamics by influencing how the tire responds to road irregularities.

Q3: When should tyre vertical rate be measured?
A: During suspension tuning, vehicle development, and when optimizing for specific track conditions or ride comfort requirements.

Q4: Are there limitations to this calculation?
A: This calculation assumes linear behavior and may not account for all nonlinearities in real-world tire performance.

Q5: How does tyre vertical rate relate to overall suspension stiffness?
A: Tyre vertical rate works in series with spring rates and other suspension components to determine the overall vertical stiffness of the vehicle.