Radius of Wheel given Shear Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Wheel = (4.13/Contact Shear Stress)^(2)*Static Load
Rw = (4.13/Fs)^(2)*Fa
This formula uses 3 Variables
Variables Used
Radius of Wheel - (Measured in Millimeter) - Radius of Wheel here specifies the radius of fully worn-out wheel.
Contact Shear Stress - (Measured in Kilogram-Force per Square Millimeter) - Contact shear stress is the shear stress at the contact point between wheel and rail.
Static Load - (Measured in Ton-Force (Metric)) - Static Load is defined as the stationary load used for easy calculation of stress and moments.
STEP 1: Convert Input(s) to Base Unit
Contact Shear Stress: 9.2 Kilogram-Force per Square Millimeter --> 9.2 Kilogram-Force per Square Millimeter No Conversion Required
Static Load: 200 Ton-Force (Metric) --> 200 Ton-Force (Metric) No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rw = (4.13/Fs)^(2)*Fa --> (4.13/9.2)^(2)*200
Evaluating ... ...
Rw = 40.304584120983
STEP 3: Convert Result to Output's Unit
0.040304584120983 Meter -->40.304584120983 Millimeter (Check conversion here)
FINAL ANSWER
40.304584120983 40.30458 Millimeter <-- Radius of Wheel
(Calculation completed in 00.020 seconds)

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
Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

8 Lateral Forces Calculators

Section Modulus of Rail given Seat Load
Go Section Modulus = (Wheel Load*Sleeper Spacing)/(Characteristic Length of Rail*Seat Load)
Characteristic Length given Seat Load on Rail
Go Characteristic Length of Rail = Wheel Load*Sleeper Spacing/(Section Modulus*Seat Load)
Maximum Load on Rail Seat
Go Seat Load = Wheel Load*Sleeper Spacing/(Section Modulus*Characteristic Length of Rail)
Sleeper Spacing given Seat Load on Rail
Go Sleeper Spacing = Section Modulus*Characteristic Length of Rail*Seat Load/Wheel Load
Wheel Load given Seat Load
Go Wheel Load = Section Modulus*Characteristic Length of Rail*Seat Load/Sleeper Spacing
Maximum Contact Shear Stress
Go Contact Shear Stress = 4.13*(Static Load/Radius of Wheel)^(1/2)
Radius of Wheel given Shear Stress
Go Radius of Wheel = (4.13/Contact Shear Stress)^(2)*Static Load
Static Wheel Load given Shear Stress
Go Static Load = (Contact Shear Stress/4.13)^2*Radius of Wheel

Radius of Wheel given Shear Stress Formula

Radius of Wheel = (4.13/Contact Shear Stress)^(2)*Static Load
Rw = (4.13/Fs)^(2)*Fa

What are the Lateral Forces on rails?

The Lateral Force applied to the rail head produces a lateral deflection and twist in the rail. Lateral force causes the rail to bend horizontally and the resultant torque causes a huge twist in the rail as well as the bending of the head and foot of the rail. Lateral deflection of the rail is resisted by the friction between the rail and the sleeper, the resistance offered by the rubber pad and fastenings, as well as the ballast coming in contact with the rail.

How to Calculate Radius of Wheel given Shear Stress?

Radius of Wheel given Shear Stress calculator uses Radius of Wheel = (4.13/Contact Shear Stress)^(2)*Static Load to calculate the Radius of Wheel, Radius of Wheel given Shear Stress defines radius of fully worn-out wheel and load is in kg+1000kg for on loading on curves. Radius of Wheel is denoted by Rw symbol.

How to calculate Radius of Wheel given Shear Stress using this online calculator? To use this online calculator for Radius of Wheel given Shear Stress, enter Contact Shear Stress (Fs) & Static Load (Fa) and hit the calculate button. Here is how the Radius of Wheel given Shear Stress calculation can be explained with given input values -> 40304.58 = (4.13/90221179.9999937)^(2)*1961329.99999986.

FAQ

What is Radius of Wheel given Shear Stress?
Radius of Wheel given Shear Stress defines radius of fully worn-out wheel and load is in kg+1000kg for on loading on curves and is represented as Rw = (4.13/Fs)^(2)*Fa or Radius of Wheel = (4.13/Contact Shear Stress)^(2)*Static Load. Contact shear stress is the shear stress at the contact point between wheel and rail & Static Load is defined as the stationary load used for easy calculation of stress and moments.
How to calculate Radius of Wheel given Shear Stress?
Radius of Wheel given Shear Stress defines radius of fully worn-out wheel and load is in kg+1000kg for on loading on curves is calculated using Radius of Wheel = (4.13/Contact Shear Stress)^(2)*Static Load. To calculate Radius of Wheel given Shear Stress, you need Contact Shear Stress (Fs) & Static Load (Fa). With our tool, you need to enter the respective value for Contact Shear Stress & Static Load and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!