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Maximum Contact Shear Stress Formula

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

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

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

Maximum Contact Shear Stress Example

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Here is how the Maximum Contact Shear Stress equation looks like with Values.

Here is how the Maximum Contact Shear Stress equation looks like with Units.

Here is how the Maximum Contact Shear Stress equation looks like.

9.1216 = 4.13 \cdot {(\frac{200}{41})}^{\frac{1}{2}}

9.1216kgf/mm² = 4.13 \cdot {(\frac{200tf}{41mm})}^{\frac{1}{2}}

9.1216 = 4.13 \cdot {(\frac{200}{41})}^{\frac{1}{2}}

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Maximum Contact Shear Stress Solution

Follow our step by step solution on how to calculate Maximum Contact Shear Stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F s = 4.13 \cdot {(\frac{200tf}{41mm})}^{\frac{1}{2}}

Next Step Prepare to Evaluate

∴

F s = 4.13 \cdot {(\frac{200}{41})}^{\frac{1}{2}}

Next Step Evaluate

∴

F s = 89452770.6600181Pa

Next Step Convert to Output's Unit

∴

F s = 9.12164405378232kgf/mm²

LAST Step Rounding Answer

∴

F s = 9.1216kgf/mm²

Maximum Contact Shear Stress Formula Elements

Variables

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

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

Other formulas in Lateral Forces category

Go Static Wheel Load given Shear Stress

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

Go Radius of Wheel given Shear Stress

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

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 Maximum Contact Shear Stress?

Maximum Contact Shear Stress evaluator uses Contact Shear Stress = 4.13*(Static Load/Radius of Wheel)^(1/2) to evaluate the Contact Shear Stress, The Maximum Contact Shear Stress is defined as the shear stress on the point of contact between the wheel and rail. The equation above is an empirical formula and the static load is in unit kg+1000kg for on-loading on curves. Contact Shear Stress is denoted by F_s symbol.

How to evaluate Maximum Contact Shear Stress using this online evaluator? To use this online evaluator for Maximum Contact Shear Stress, enter Static Load (F_a) & Radius of Wheel (R_w) and hit the calculate button.

FAQs on Maximum Contact Shear Stress

What is the formula to find Maximum Contact Shear Stress?

The formula of Maximum Contact Shear Stress is expressed as Contact Shear Stress = 4.13*(Static Load/Radius of Wheel)^(1/2). Here is an example- 9.3E-7 = 4.13*(1961329.99999986/0.041)^(1/2).

How to calculate Maximum Contact Shear Stress?

With Static Load (F_a) & Radius of Wheel (R_w) we can find Maximum Contact Shear Stress using the formula - Contact Shear Stress = 4.13*(Static Load/Radius of Wheel)^(1/2).

Can the Maximum Contact Shear Stress be negative?

Yes, the Maximum Contact Shear Stress, measured in Pressure can be negative.

Which unit is used to measure Maximum Contact Shear Stress?

Maximum Contact Shear Stress is usually measured using the Kilogram-Force per Square Millimeter[kgf/mm²] for Pressure. Pascal[kgf/mm²], Kilopascal[kgf/mm²], Bar[kgf/mm²] are the few other units in which Maximum Contact Shear Stress can be measured.

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Maximum Contact Shear Stress Formula

Maximum Contact Shear Stress Example

Maximum Contact Shear Stress Solution

Maximum Contact Shear Stress Formula Elements

Other formulas in Lateral Forces category

How to Evaluate Maximum Contact Shear Stress?

FAQs on Maximum Contact Shear Stress

Variable Name