Radius of Curve given Extra Width Calculator

✖Wheelbase is the horizontal distance between the centers of the front and rear wheels.ⓘ Wheelbase [W]			+10% -10%
✖Lap of flange refers to the projecting edge or rim on the circumference of a steel wheel that is designed to keep the wheel on a rail.ⓘ Lap of Flange [L]			+10% -10%
✖Extra width refers to the widened width of the track at curves.ⓘ Extra Width [W_e]			+10% -10%

✖Radius of Curve is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Radius of Curve given Extra Width [R]

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Radius of Curve given Extra Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Curve = (Wheelbase+Lap of Flange^2)*125/Extra Width
R = (W+L^2)*125/W_e
This formula uses 4 Variables

Variables Used

Radius of Curve - (Measured in Millimeter) - Radius of Curve is the radius of a circle whose part, say, arc is taken for consideration.
Wheelbase - (Measured in Millimeter) - Wheelbase is the horizontal distance between the centers of the front and rear wheels.
Lap of Flange - (Measured in Millimeter) - Lap of flange refers to the projecting edge or rim on the circumference of a steel wheel that is designed to keep the wheel on a rail.
Extra Width - (Measured in Millimeter) - Extra width refers to the widened width of the track at curves.

STEP 1: Convert Input(s) to Base Unit

Wheelbase: 3500 Millimeter --> 3500 Millimeter No Conversion Required
Lap of Flange: 50 Millimeter --> 50 Millimeter No Conversion Required
Extra Width: 2.18 Millimeter --> 2.18 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = (W+L^2)*125/W_e --> (3500+50^2)*125/2.18

Evaluating ... ...

R = 344036.697247706

STEP 3: Convert Result to Output's Unit

344.036697247706 Meter --> No Conversion Required

FINAL ANSWER

344.036697247706 ≈ 344.0367 Meter <-- Radius of Curve

(Calculation completed in 00.020 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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Coorg Institute of Technology (CIT), Coorg

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< Lap of Flange Calculators

Lap of Flange given Diameter of Wheel

LaTeX Go Lap of Flange = 2*((Diameter of Wheel*Depth of Wheel Flange)+Depth of Wheel Flange^2)^0.5

Radius of Curve given Extra Width

LaTeX Go Radius of Curve = (Wheelbase+Lap of Flange^2)*125/Extra Width

Wheel Base given Extra Width

LaTeX Go Wheelbase = (Extra Width*Radius of Curve/125)-Lap of Flange^2

Extra Track Width in Curves

LaTeX Go Extra Width = (Wheelbase+Lap of Flange^2)*125/Radius of Curve

Radius of Curve given Extra Width Formula

LaTeX Go

Radius of Curve = (Wheelbase+Lap of Flange^2)*125/Extra Width
R = (W+L^2)*125/W_e

Why Extra Widening is provided at curves?

This Extra Width is the result of extra widening of the pavement at the curves. There is a tendency of the driver to take the outer path at the curves to have more sight distance visible ahead. While overtaking operations on horizontal curves driver will need more spacing from the other vehicles to feel safer.

How to Calculate Radius of Curve given Extra Width?

Radius of Curve given Extra Width calculator uses Radius of Curve = (Wheelbase+Lap of Flange^2)*125/Extra Width to calculate the Radius of Curve, Radius of Curve given Extra Width is radius of assumed circle which creates track or path for train. Radius of Curve is denoted by R symbol.

How to calculate Radius of Curve given Extra Width using this online calculator? To use this online calculator for Radius of Curve given Extra Width, enter Wheelbase (W), Lap of Flange (L) & Extra Width (W_e) and hit the calculate button. Here is how the Radius of Curve given Extra Width calculation can be explained with given input values -> 344.0367 = (3.5+0.05^2)*125/0.00218.

FAQ

What is Radius of Curve given Extra Width?

Radius of Curve given Extra Width is radius of assumed circle which creates track or path for train and is represented as R = (W+L^2)*125/W_e or Radius of Curve = (Wheelbase+Lap of Flange^2)*125/Extra Width. Wheelbase is the horizontal distance between the centers of the front and rear wheels, Lap of flange refers to the projecting edge or rim on the circumference of a steel wheel that is designed to keep the wheel on a rail & Extra width refers to the widened width of the track at curves.

How to calculate Radius of Curve given Extra Width?

Radius of Curve given Extra Width is radius of assumed circle which creates track or path for train is calculated using Radius of Curve = (Wheelbase+Lap of Flange^2)*125/Extra Width. To calculate Radius of Curve given Extra Width, you need Wheelbase (W), Lap of Flange (L) & Extra Width (W_e). With our tool, you need to enter the respective value for Wheelbase, Lap of Flange & Extra Width and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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