Radius of Wheel given Shear Stress Calculator

✖Contact shear stress is the shear stress at the contact point between wheel and rail.ⓘ Contact Shear Stress [F_s]			+10% -10%
✖Static Load is defined as the stationary load used for easy calculation of stress and moments.ⓘ Static Load [F_a]			+10% -10%

✖Radius of Wheel here specifies the radius of fully worn-out wheel.ⓘ Radius of Wheel given Shear Stress [R_w]

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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
R_w = (4.13/F_s)^(2)*F_a
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

R_w = (4.13/F_s)^(2)*F_a --> (4.13/9.2)^(2)*200

Evaluating ... ...

R_w = 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 00.004 seconds)

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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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< Lateral Forces Calculators

Maximum Load on Rail Seat

LaTeX Go Seat Load = Wheel Load*Sleeper Spacing/(Section Modulus*Characteristic Length of Rail)

Maximum Contact Shear Stress

LaTeX Go Contact Shear Stress = 4.13*(Static Load/Radius of Wheel)^(1/2)

Radius of Wheel given Shear Stress

LaTeX Go Radius of Wheel = (4.13/Contact Shear Stress)^(2)*Static Load

Static Wheel Load given Shear Stress

LaTeX Go Static Load = (Contact Shear Stress/4.13)^2*Radius of Wheel

Radius of Wheel given Shear Stress Formula

LaTeX Go

Radius of Wheel = (4.13/Contact Shear Stress)^(2)*Static Load
R_w = (4.13/F_s)^(2)*F_a

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 R_w 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 (F_s) & Static Load (F_a) 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 R_w = (4.13/F_s)^(2)*F_a 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 (F_s) & Static Load (F_a). 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.

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