Extra Track Width in Curves 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%
✖Radius of Curve is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Radius of Curve [R]			+10% -10%

✖Extra width refers to the widened width of the track at curves.ⓘ Extra Track Width in Curves [W_e]

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Formula

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Extra Track Width in Curves

Formula

`"W"_{"e"} = ("W"+"L"^2)*125/"R"`

Example

`"2.180233mm"=("3500mm"+("50mm")^2)*125/"344m"`

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Download Railway Track and Track Stresses Formulas PDF

Extra Track Width in Curves Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Extra Width - (Measured in Millimeter) - Extra width refers to the widened width of the track at curves.
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.
Radius of Curve - (Measured in Millimeter) - Radius of Curve is the radius of a circle whose part, say, arc is taken for consideration.

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
Radius of Curve: 344 Meter --> 344000 Millimeter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_e = (W+L^2)*125/R --> (3500+50^2)*125/344000

Evaluating ... ...

W_e = 2.18023255813953

STEP 3: Convert Result to Output's Unit

0.00218023255813953 Meter -->2.18023255813953 Millimeter (Check conversion here)

FINAL ANSWER

2.18023255813953 ≈ 2.180233 Millimeter <-- Extra Width

(Calculation completed in 00.004 seconds)

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Credits

Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< 6 Lap of Flange Calculators

Lap of Flange given Extra Width of Track

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

Lap of Flange given Diameter of Wheel

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

Diameter of Wheel given Lap of Flange

Go Diameter of Wheel = ((Lap of Flange/2)^2-Depth of Wheel Flange^2)/Depth of Wheel Flange

Radius of Curve given Extra Width

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

Wheel Base given Extra Width

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

Extra Track Width in Curves

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

Extra Track Width in Curves Formula

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

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 Extra Track Width in Curves?

Extra Track Width in Curves calculator uses Extra Width = (Wheelbase+Lap of Flange^2)*125/Radius of Curve to calculate the Extra Width, The Extra Track Width in Curves refers to the additional width of track that is required on a curved section of a rail track over and above that required on a straight alignment. Extra Width is denoted by W_e symbol.

How to calculate Extra Track Width in Curves using this online calculator? To use this online calculator for Extra Track Width in Curves, enter Wheelbase (W), Lap of Flange (L) & Radius of Curve (R) and hit the calculate button. Here is how the Extra Track Width in Curves calculation can be explained with given input values -> 2180.233 = (3.5+0.05^2)*125/344.

FAQ

What is Extra Track Width in Curves?

The Extra Track Width in Curves refers to the additional width of track that is required on a curved section of a rail track over and above that required on a straight alignment and is represented as W_e = (W+L^2)*125/R or Extra Width = (Wheelbase+Lap of Flange^2)*125/Radius of Curve. 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 & Radius of Curve is the radius of a circle whose part, say, arc is taken for consideration.

How to calculate Extra Track Width in Curves?

The Extra Track Width in Curves refers to the additional width of track that is required on a curved section of a rail track over and above that required on a straight alignment is calculated using Extra Width = (Wheelbase+Lap of Flange^2)*125/Radius of Curve. To calculate Extra Track Width in Curves, you need Wheelbase (W), Lap of Flange (L) & Radius of Curve (R). With our tool, you need to enter the respective value for Wheelbase, Lap of Flange & Radius of Curve 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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