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Radius of Wheel given Shear Stress Formula

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Radius of Wheel here specifies the radius of fully worn-out wheel. Check FAQs

R w = {(\frac{4.13}{F s})}^{2} \cdot F a

R_w - Radius of Wheel?F_s - Contact Shear Stress?F_a - Static Load?

Radius of Wheel given Shear Stress Example

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Here is how the Radius of Wheel given Shear Stress equation looks like with Values.

Here is how the Radius of Wheel given Shear Stress equation looks like with Units.

Here is how the Radius of Wheel given Shear Stress equation looks like.

40.3046 = {(\frac{4.13}{9.2})}^{2} \cdot 200

40.3046mm = {(\frac{4.13}{9.2kgf/mm²})}^{2} \cdot 200tf

40.3046 = {(\frac{4.13}{9.2})}^{2} \cdot 200

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Radius of Wheel given Shear Stress Solution

Follow our step by step solution on how to calculate Radius of Wheel given Shear Stress?

FIRST Step Consider the formula

R w = {(\frac{4.13}{F s})}^{2} \cdot F a

Next Step Substitute values of Variables

∴

R w = {(\frac{4.13}{9.2kgf/mm²})}^{2} \cdot 200tf

Next Step Prepare to Evaluate

∴

R w = {(\frac{4.13}{9.2})}^{2} \cdot 200

Next Step Evaluate

∴

R w = 0.040304584120983m

Next Step Convert to Output's Unit

∴

R w = 40.304584120983mm

LAST Step Rounding Answer

∴

R w = 40.3046mm

Radius of Wheel given Shear Stress Formula Elements

Variables

Radius of Wheel

Radius of Wheel here specifies the radius of fully worn-out wheel.

Symbol: R_w

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Radius of Wheel

Contact Shear Stress

Contact shear stress is the shear stress at the contact point between wheel and rail.

Symbol: F_s

Measurement: PressureUnit: kgf/mm²

Note: Value can be positive or negative.

Formulas to find Contact Shear Stress

Static Load

Static Load is defined as the stationary load used for easy calculation of stress and moments.

Symbol: F_a

Measurement: ForceUnit: tf

Note: Value can be positive or negative.

Formulas to find Static Load

Other formulas in Lateral Forces category

Go Maximum Contact Shear Stress

F s = 4.13 \cdot {(\frac{F a}{R w})}^{\frac{1}{2}}

Go Static Wheel Load given Shear Stress

F a = {(\frac{F s}{4.13})}^{2} \cdot R w

Go Maximum Load on Rail Seat

L max = W L \cdot \frac{S}{z \cdot I}

Go Wheel Load given Seat Load

W L = z \cdot I \cdot \frac{L max}{S}

How to Evaluate Radius of Wheel given Shear Stress?

Radius of Wheel given Shear Stress evaluator uses Radius of Wheel = (4.13/Contact Shear Stress)^(2)*Static Load to evaluate 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 evaluate Radius of Wheel given Shear Stress using this online evaluator? To use this online evaluator for Radius of Wheel given Shear Stress, enter Contact Shear Stress (F_s) & Static Load (F_a) and hit the calculate button.

FAQs on Radius of Wheel given Shear Stress

What is the formula to find Radius of Wheel given Shear Stress?

The formula of Radius of Wheel given Shear Stress is expressed as Radius of Wheel = (4.13/Contact Shear Stress)^(2)*Static Load. Here is an example- 40304.58 = (4.13/90221179.9999937)^(2)*1961329.99999986.

How to calculate Radius of Wheel given Shear Stress?

With Contact Shear Stress (F_s) & Static Load (F_a) we can find Radius of Wheel given Shear Stress using the formula - Radius of Wheel = (4.13/Contact Shear Stress)^(2)*Static Load.

Can the Radius of Wheel given Shear Stress be negative?

Yes, the Radius of Wheel given Shear Stress, measured in Length can be negative.

Which unit is used to measure Radius of Wheel given Shear Stress?

Radius of Wheel given Shear Stress is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius of Wheel given Shear Stress can be measured.

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Radius of Wheel given Shear Stress Formula

Radius of Wheel given Shear Stress Example

Radius of Wheel given Shear Stress Solution

Radius of Wheel given Shear Stress Formula Elements

Other formulas in Lateral Forces category

How to Evaluate Radius of Wheel given Shear Stress?

FAQs on Radius of Wheel given Shear Stress

Variable Name