Diameter of Wheel given Lap of Flange Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Wheel = ((Lap of Flange/2)^2-Depth of Wheel Flange^2)/Depth of Wheel Flange
D = ((L/2)^2-H^2)/H
This formula uses 3 Variables
Variables Used
Diameter of Wheel - (Measured in Millimeter) - Diameter of wheel is the length of the wheel (diameter) of the train.
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.
Depth of Wheel Flange - (Measured in Millimeter) - Depth of wheel flange is the vertical distance of wheel flange .
STEP 1: Convert Input(s) to Base Unit
Lap of Flange: 50 Millimeter --> 50 Millimeter No Conversion Required
Depth of Wheel Flange: 20 Millimeter --> 20 Millimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = ((L/2)^2-H^2)/H --> ((50/2)^2-20^2)/20
Evaluating ... ...
D = 11.25
STEP 3: Convert Result to Output's Unit
0.01125 Meter -->11.25 Millimeter (Check conversion here)
FINAL ANSWER
11.25 Millimeter <-- Diameter of Wheel
(Calculation completed in 00.004 seconds)

Credits

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NSS College of Engineering (NSSCE), Palakkad
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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

Diameter of Wheel given Lap of Flange Formula

Diameter of Wheel = ((Lap of Flange/2)^2-Depth of Wheel Flange^2)/Depth of Wheel Flange
D = ((L/2)^2-H^2)/H

Why do train wheels have flanges?

Train wheels have a flange on one side to keep the wheels, and hence the train, running on the rails when the limits of the geometry-based alignment are reached, e.g. due to some emergency or defect.

How to Calculate Diameter of Wheel given Lap of Flange?

Diameter of Wheel given Lap of Flange calculator uses Diameter of Wheel = ((Lap of Flange/2)^2-Depth of Wheel Flange^2)/Depth of Wheel Flange to calculate the Diameter of Wheel, Diameter of Wheel given Lap of Flange related relation between depth of flange below rail, and lap of flange. Diameter of Wheel is denoted by D symbol.

How to calculate Diameter of Wheel given Lap of Flange using this online calculator? To use this online calculator for Diameter of Wheel given Lap of Flange, enter Lap of Flange (L) & Depth of Wheel Flange (H) and hit the calculate button. Here is how the Diameter of Wheel given Lap of Flange calculation can be explained with given input values -> 11250 = ((0.05/2)^2-0.02^2)/0.02.

FAQ

What is Diameter of Wheel given Lap of Flange?
Diameter of Wheel given Lap of Flange related relation between depth of flange below rail, and lap of flange and is represented as D = ((L/2)^2-H^2)/H or Diameter of Wheel = ((Lap of Flange/2)^2-Depth of Wheel Flange^2)/Depth of Wheel Flange. 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 & Depth of wheel flange is the vertical distance of wheel flange .
How to calculate Diameter of Wheel given Lap of Flange?
Diameter of Wheel given Lap of Flange related relation between depth of flange below rail, and lap of flange is calculated using Diameter of Wheel = ((Lap of Flange/2)^2-Depth of Wheel Flange^2)/Depth of Wheel Flange. To calculate Diameter of Wheel given Lap of Flange, you need Lap of Flange (L) & Depth of Wheel Flange (H). With our tool, you need to enter the respective value for Lap of Flange & Depth of Wheel Flange 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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