Curve Resistance Calculator

Curve Resistance Formula:

\[ CR = T - T \times \cos(\alpha_1) \]

Curve Resistance (N):

1. What is Curve Resistance?

Definition: Curve resistance is the added resistance or "drag" on a train that must be overcome by the tractive effort in rounding a curve.

Purpose: This calculator helps determine the additional force required to overcome resistance when moving around curved tracks.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ CR = T - T \times \cos(\alpha_1) \]

Where:

\( CR \) — Curve resistance (N)
\( T \) — Tractive force (N)
\( \alpha_1 \) — Angle subtended by radius of curve (radians)

Explanation: The formula calculates the difference between the tractive force and its component in the direction of motion when moving around a curve.

3. Importance of Curve Resistance Calculation

Details: Proper calculation ensures trains can maintain speed around curves and helps engineers design appropriate track layouts and train power systems.

4. Using the Calculator

Tips: Enter the tractive force in newtons, the angle in radians, and the tolerance percentage (default ±5%). All values must be valid numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is tractive force?
A: Tractive force is the force needed to overcome the resistance caused by friction when two bodies slide or roll on each other.

Q2: How do I convert degrees to radians?
A: Multiply degrees by π/180 (approximately 0.0174533) to convert to radians.

Q3: Why include tolerance?
A: Tolerance accounts for real-world variations in track conditions, wheel-rail friction, and other factors.

Q4: What's a typical angle for railway curves?
A: This varies widely, but common curve angles range from 0.1 to 1.0 radians (about 5.7° to 57.3°).

Q5: How does curve resistance affect train operation?
A: Higher curve resistance requires more energy to maintain speed and may limit maximum train weights and speeds on curved sections.