Spring Track Width Given Roll Rate Calculator

Formula Used:

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

Roll Rate (KΦ):

N·m/rad

Tyre Vertical Rate (Kt):

N/m

Rear Track Width (tR):

Wheel Centre Rate (Kw):

N/m

Spring Track Width (Ts):

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1. What is Spring Track Width?

Spring Track Width is the distance between the springs on either side of the axle. It is a critical parameter in vehicle suspension design that affects roll stiffness and handling characteristics.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the optimal spring track width based on roll rate, tyre characteristics, and geometric parameters to achieve desired vehicle dynamics.

3. Importance of Spring Track Width Calculation

Details: Proper spring track width calculation is essential for optimizing vehicle roll stiffness, improving handling characteristics, and ensuring balanced weight distribution during cornering maneuvers.

4. Using the Calculator

Tips: Enter all values in appropriate units (N·m/rad for roll rate, N/m for rates, meters for distances). Ensure all values are positive and the denominator remains positive for valid results.

5. Frequently Asked Questions (FAQ)

Q1: Why is spring track width important in suspension design?
A: It directly affects the vehicle's roll stiffness and determines how the suspension responds to cornering forces, influencing overall handling and stability.

Q2: How does roll rate affect spring track width?
A: Higher roll rates typically require wider spring track widths to maintain proper suspension geometry and achieve desired roll characteristics.

Q3: What factors influence tyre vertical rate?
A: Tyre compound, sidewall stiffness, inflation pressure, and construction type all contribute to the tyre's vertical rate.

Q4: When should this calculation be used?
A: This calculation is essential during suspension design and tuning phases, particularly for performance vehicles where precise handling characteristics are critical.

Q5: Are there limitations to this formula?
A: The formula assumes linear spring rates and may need adjustments for non-linear suspension components or extreme operating conditions.