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Stress in Rail Head Formula

GoStress in Rail Foot Formula

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Bending stress represents the stress due to the bending moment caused by the vertical loads. Check FAQs

S h = \frac{M}{Z c}

S_h - Bending Stress?M - Bending Moment?Z_c - Section Modulus in Compression?

Stress in Rail Head Example

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Here is how the Stress in Rail Head equation looks like with Values.

Here is how the Stress in Rail Head equation looks like with Units.

Here is how the Stress in Rail Head equation looks like.

26.5385 = \frac{1.38}{52}

26.5385Pa = \frac{1.38N*m}{52m³}

26.5385 = \frac{1.38}{52}

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Stress in Rail Head Solution

Follow our step by step solution on how to calculate Stress in Rail Head?

FIRST Step Consider the formula

S h = \frac{M}{Z c}

Next Step Substitute values of Variables

∴

S h = \frac{1.38N*m}{52m³}

Next Step Prepare to Evaluate

∴

S h = \frac{1.38}{52}

Next Step Evaluate

∴

S h = 26.5384615384615Pa

LAST Step Rounding Answer

∴

S h = 26.5385Pa

Stress in Rail Head Formula Elements

Variables

Bending Stress

Bending stress represents the stress due to the bending moment caused by the vertical loads.

Symbol: S_h

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Bending Stress

Bending Moment

The Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.

Symbol: M

Measurement: Moment of ForceUnit: N*m

Note: Value can be positive or negative.

Formulas to find Bending Moment

Section Modulus in Compression

Section Modulus in Compression is the geometric property of structure to find the strength.

Symbol: Z_c

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Section Modulus in Compression

Other Formulas to find Bending Stress

Go Stress in Rail Foot

S h = \frac{M}{Z t}

Other formulas in Vertical Loads category

Go Bending Moment on Rail

M = 0.25 \cdot L Vertical \cdot \exp (- \frac{x}{l}) \cdot (\sin (\frac{x}{l}) - \cos (\frac{x}{l}))

Go Isolated Vertical Load given Moment

L Vertical = \frac{M}{0.25 \cdot \exp (- \frac{x}{l}) \cdot (\sin (\frac{x}{l}) - \cos (\frac{x}{l}))}

Go Dynamic Overload at Joints

F = F a + 0.1188 \cdot V t \cdot \sqrt{w}

Go Static Wheel Load given Dynamic Load

F a = F - 0.1188 \cdot V t \cdot \sqrt{w}

How to Evaluate Stress in Rail Head?

Stress in Rail Head evaluator uses Bending Stress = Bending Moment/Section Modulus in Compression to evaluate the Bending Stress, The Stress in Rail Head is the ratio between the bending moment of rail to that of section modulus in compression side. Bending Stress is denoted by S_h symbol.

How to evaluate Stress in Rail Head using this online evaluator? To use this online evaluator for Stress in Rail Head, enter Bending Moment (M) & Section Modulus in Compression (Z_c) and hit the calculate button.

FAQs on Stress in Rail Head

What is the formula to find Stress in Rail Head?

The formula of Stress in Rail Head is expressed as Bending Stress = Bending Moment/Section Modulus in Compression. Here is an example- 26.53846 = 1.38/52.

How to calculate Stress in Rail Head?

With Bending Moment (M) & Section Modulus in Compression (Z_c) we can find Stress in Rail Head using the formula - Bending Stress = Bending Moment/Section Modulus in Compression.

What are the other ways to Calculate Bending Stress?

Here are the different ways to Calculate Bending Stress-

Bending Stress=Bending Moment/Section Modulus in Tension

Can the Stress in Rail Head be negative?

Yes, the Stress in Rail Head, measured in Pressure can be negative.

Which unit is used to measure Stress in Rail Head?

Stress in Rail Head is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Stress in Rail Head can be measured.

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Stress in Rail Head Formula

​GoStress in Rail Foot Formula

Stress in Rail Head Example

Stress in Rail Head Solution

Stress in Rail Head Formula Elements

Other Formulas to find Bending Stress

Other formulas in Vertical Loads category

How to Evaluate Stress in Rail Head?

FAQs on Stress in Rail Head

Variable Name

GoStress in Rail Foot Formula