Pivot Centre Given Turning Radius Of Inner Rear Wheel Calculator

Formula Used:

\[ c = atw - 2 \times \left( \frac{b}{\tan(\theta)} - Rir \right) \]

Track Width of Vehicle (atw):

Wheelbase of Vehicle (b):

Angle of Inside Wheel Lock (θ):

rad

Turning Radius of Inner Rear Wheel (Rir):

Distance between Front Wheel Pivot Center (c):

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1. What is Pivot Centre Given Turning Radius of Inner Rear Wheel?

The distance between front wheel pivot centers is a critical measurement in vehicle dynamics that determines the spacing between the points about which both front wheels pivot during cornering maneuvers.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ c = atw - 2 \times \left( \frac{b}{\tan(\theta)} - Rir \right) \]

Where:

\( c \) — Distance between Front Wheel Pivot Center (m)
\( atw \) — Track Width of Vehicle (m)
\( b \) — Wheelbase of Vehicle (m)
\( \theta \) — Angle of Inside Wheel Lock (rad)
\( Rir \) — Turning Radius of Inner Rear Wheel (m)

Explanation: This formula calculates the distance between the pivot centers of the front wheels based on vehicle dimensions and turning characteristics.

3. Importance of Pivot Centre Calculation

Details: Accurate pivot center calculation is crucial for proper vehicle steering geometry, ensuring optimal turning performance, tire wear minimization, and stable handling characteristics.

4. Using the Calculator

Tips: Enter track width and wheelbase in meters, angle of inside wheel lock in radians, and turning radius of inner rear wheel in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why is pivot center distance important in vehicle design?
A: It affects steering geometry, turning radius, tire wear patterns, and overall vehicle stability during cornering maneuvers.

Q2: How does wheel lock angle affect pivot center calculation?
A: The angle of inside wheel lock directly influences the turning characteristics and therefore the required pivot center distance for optimal performance.

Q3: What are typical values for pivot center distance?
A: Values vary by vehicle type and design, but typically range from 1.2 to 1.8 meters for passenger vehicles.

Q4: How does this relate to Ackermann steering geometry?
A: The pivot center distance is a key parameter in achieving proper Ackermann steering, which ensures all wheels roll around a common center during turns.

Q5: Can this calculation be used for all vehicle types?
A: While the formula applies broadly, specific vehicle designs may require additional considerations for specialized applications.