Tyre Rate Given Required Anti-Roll Bar Rate Calculator

Formula Used:

\[ Kt = \frac{((Ka + Kw \times \frac{a^2}{2}) \times K\Phi)}{(Ka + Kw \times \frac{a^2}{2}) - K\Phi} \times \frac{2}{a^2} \]

Required Anti Roll Bar Rate (Ka):

N·m/rad

Wheel Centre Rate (Kw):

N/m

Track Width of Vehicle (a):

Assumed Initial Roll Rate (KΦ):

N·m/rad

Tyre Vertical Rate (Kt):

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1. What is the Tyre Vertical Rate?

The 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:

\[ Kt = \frac{((Ka + Kw \times \frac{a^2}{2}) \times K\Phi)}{(Ka + Kw \times \frac{a^2}{2}) - K\Phi} \times \frac{2}{a^2} \]

Where:

\( Kt \) — Tyre Vertical Rate (N/m)
\( Ka \) — Required Anti Roll Bar Rate (N·m/rad)
\( Kw \) — Wheel Centre Rate (N/m)
\( a \) — Track Width of Vehicle (m)
\( K\Phi \) — Assumed Initial Roll Rate (N·m/rad)

Explanation: This formula calculates the tyre vertical rate based on the required anti-roll bar rate, wheel centre rate, track width, and assumed initial roll rate.

3. Importance of Tyre Vertical Rate Calculation

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

4. Using the Calculator

Tips: Enter all values in appropriate units. Ensure all values are positive and valid to avoid calculation errors.

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 handling?
A: It affects ride comfort, grip levels, and how the vehicle responds to road irregularities and cornering forces.

Q3: Can this calculation be used for both front and rear axles?
A: Yes, but different values may be needed for front and rear due to different weight distributions and suspension setups.

Q4: What are typical values for tyre vertical rate?
A: Values vary significantly based on tyre type, size, and intended use, ranging from 100-400 N/mm for passenger vehicles.

Q5: How accurate is this calculation compared to physical testing?
A: While this provides a good theoretical estimate, physical testing is recommended for precise tuning in competitive applications.