Mechanical Widening Needed For Large Radius Of Road Curve Calculator

Mechanical Widening Formula:

\[ W_m = \frac{n \times l_{fr}^2}{2 \times R_{mean}} \]

Mechanical Widening on Horizontal Curves:

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1. What is Mechanical Widening on Horizontal Curves?

Mechanical Widening on Horizontal Curves is the additional width required on curved road sections to account for the off-tracking phenomenon caused by the rigidity of wheel-based vehicles. This ensures safe vehicle maneuverability around curves.

2. How Does the Calculator Work?

The calculator uses the Mechanical Widening formula:

\[ W_m = \frac{n \times l_{fr}^2}{2 \times R_{mean}} \]

Where:

\( W_m \) — Mechanical Widening on Horizontal Curves (m)
\( n \) — Number of Lanes
\( l_{fr} \) — Distance between Front and Rear Wheel (m)
\( R_{mean} \) — Mean Radius of Curve (m)

Explanation: The formula calculates the additional width needed to accommodate the tracking difference between front and rear wheels of vehicles navigating curves.

3. Importance of Mechanical Widening Calculation

Details: Proper mechanical widening calculation is essential for road safety design, preventing vehicle overhang into adjacent lanes, and ensuring smooth traffic flow on curved road sections.

4. Using the Calculator

Tips: Enter the number of lanes, distance between front and rear wheels in meters, and mean radius of curve in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why is mechanical widening necessary on curves?
A: Mechanical widening compensates for the off-tracking effect where rear wheels follow a tighter path than front wheels, preventing vehicles from encroaching into adjacent lanes.

Q2: How does the number of lanes affect mechanical widening?
A: More lanes require proportionally more widening as each lane needs additional space to accommodate vehicle off-tracking.

Q3: What is the typical range for mechanical widening values?
A: Mechanical widening typically ranges from 0.1 to 0.6 meters per lane, depending on vehicle dimensions and curve radius.

Q4: How does curve radius affect mechanical widening?
A: Smaller curve radii require more mechanical widening as the off-tracking effect becomes more pronounced on tighter curves.

Q5: Are there standards for mechanical widening in road design?
A: Yes, most transportation authorities have specific guidelines and standards for mechanical widening based on road classification, design speed, and vehicle types.