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Railway Horizontal Curve Minimum Radius & Overturning Calculator

Easily calculate and compute railway horizontal curve minimum radius & overturning calculator with accurate equations, live formulas, and expert guidance.

Design operational speed.

Upper limit of track superelevation.

Passenger comfort ceiling (e.g. 100 mm conventional, 150 mm tilting).

Distance between inside rail heads.

Height of vehicle CG above top of rail.

Calculated Result
1,807.87 m

Limiting Minimum Curve Radius

Limiting Minimum Curve Radius

1,807.87 m

Min Radius M

1807.8740157480315

Overturning Factor Of Safety

2.497881374826056

Total Allowable Superelevation

250

Lat Acc

1.7072095324127845

1,807.87 — m

Calculation Breakdown

  1. Applied FormulaDetermines the minimum permissible curve radius and overturning factor of safety against vehicle rollover from center-of-gravity height and maximum lateral acceleration.R_{min} = \frac{G \cdot V^2}{127 (D_{max} + D_{def,max})}

Curve Limiting Radius Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.04529041.4k1.8kLimiting Minimum Curve Radius

What Is the Railway Horizontal Curve Minimum Radius & Overturning Calculator?

This tool computes railway horizontal curve minimum radius & overturning calculator with high precision arithmetic.

How Does the Railway Horizontal Curve Minimum Radius & Overturning Calculator Work?

Determines the minimum permissible curve radius and overturning factor of safety against vehicle rollover from center-of-gravity height and maximum lateral acceleration.

Railway Horizontal Curve Minimum Radius & Overturning Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Rmin=G⋅V2127(Dmax+Ddef,max)R_{min} = \frac{G \cdot V^2}{127 (D_{max} + D_{def,max})}

Determines the minimum permissible curve radius and overturning factor of safety against vehicle rollover from center-of-gravity height and maximum lateral acceleration.

How to Use the Railway Horizontal Curve Minimum Radius & Overturning Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Railway Horizontal Curve Minimum Radius & Overturning Calculator Example

Input Values:

maxLineSpeedKmh:200
maxAppliedCantMm:150
maxCantDeficiencyMm:100
trackGaugeMm:1435
cgHeightM:1.65
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required m.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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