Stress in Rail Head Calculator

✖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.ⓘ Bending Moment [M]			+10% -10%
✖Section Modulus in Compression is the geometric property of structure to find the strength.ⓘ Section Modulus in Compression [Z_c]			+10% -10%

✖Bending stress represents the stress due to the bending moment caused by the vertical loads.ⓘ Stress in Rail Head [S_h]

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Formula

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Stress in Rail Head

Formula

`"S"_{"h"} = "M"/"Z"_{"c"}`

Example

`"26.53846Pa"="1.38N*m"/"52m³"`

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Stress in Rail Head Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Stress = Bending Moment/Section Modulus in Compression
S_h = M/Z_c
This formula uses 3 Variables

Variables Used

Bending Stress - (Measured in Kilopascal) - Bending stress represents the stress due to the bending moment caused by the vertical loads.
Bending Moment - (Measured in Newton Meter) - 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.
Section Modulus in Compression - (Measured in Cubic Meter) - Section Modulus in Compression is the geometric property of structure to find the strength.

STEP 1: Convert Input(s) to Base Unit

Bending Moment: 1.38 Newton Meter --> 1.38 Newton Meter No Conversion Required
Section Modulus in Compression: 52 Cubic Meter --> 52 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_h = M/Z_c --> 1.38/52

Evaluating ... ...

S_h = 0.0265384615384615

STEP 3: Convert Result to Output's Unit

26.5384615384615 Pascal --> No Conversion Required

FINAL ANSWER

26.5384615384615 ≈ 26.53846 Pascal <-- Bending Stress

(Calculation completed in 00.020 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!

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Coorg Institute of Technology (CIT), Coorg

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< 7 Vertical Loads Calculators

Isolated Vertical Load given Moment

Go Vertical Load on Member = Bending Moment/(0.25*exp(-Distance from Load/Characteristic Length)*(sin(Distance from Load/Characteristic Length)-cos(Distance from Load/Characteristic Length)))

Bending Moment on Rail

Go Bending Moment = 0.25*Vertical Load on Member*exp(-Distance from Load/Characteristic Length)*(sin(Distance from Load/Characteristic Length)-cos(Distance from Load/Characteristic Length))

Static Wheel Load given Dynamic Load

Go Static Load = Dynamic Overload-0.1188*Speed of Train*sqrt(Unsuspended Mass)

Dynamic Overload at Joints

Go Dynamic Overload = Static Load+0.1188*Speed of Train*sqrt(Unsuspended Mass)

Mass per Wheel given Dynamic Load

Go Unsuspended Mass = ((Dynamic Overload-Static Load)/(0.1188*Speed of Train))^2

Stress in Rail Head

Go Bending Stress = Bending Moment/Section Modulus in Compression

Stress in Rail Foot

Go Bending Stress = Bending Moment/Section Modulus in Tension

Stress in Rail Head Formula

Bending Stress = Bending Moment/Section Modulus in Compression
S_h = M/Z_c

What is effect of Leading wheel?

When a load is applied on a rail, it causes certain deflection and a wave-like effect is created in the rail with the passage of the train. The portion of the rail immediately under the wheel gets depressed due to wheel load and the portion ahead of the wheel gets lifted creating a wavy formation. The effect of the lift in the rail on bending stress is considered only when the lead axle is at a distance greater than six times the distance of the point of contra flexure from the load.

How to Calculate Stress in Rail Head?

Stress in Rail Head calculator uses Bending Stress = Bending Moment/Section Modulus in Compression to calculate 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 calculate Stress in Rail Head using this online calculator? To use this online calculator for Stress in Rail Head, enter Bending Moment (M) & Section Modulus in Compression (Z_c) and hit the calculate button. Here is how the Stress in Rail Head calculation can be explained with given input values -> 26.53846 = 1.38/52.

FAQ

What is Stress in Rail Head?

The Stress in Rail Head is the ratio between the bending moment of rail to that of section modulus in compression side and is represented as S_h = M/Z_c or Bending Stress = Bending Moment/Section Modulus in Compression. 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 & Section Modulus in Compression is the geometric property of structure to find the strength.

How to calculate Stress in Rail Head?

The Stress in Rail Head is the ratio between the bending moment of rail to that of section modulus in compression side is calculated using Bending Stress = Bending Moment/Section Modulus in Compression. To calculate Stress in Rail Head, you need Bending Moment (M) & Section Modulus in Compression (Z_c). With our tool, you need to enter the respective value for Bending Moment & Section Modulus in Compression and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Bending Stress?

In this formula, Bending Stress uses Bending Moment & Section Modulus in Compression. We can use 1 other way(s) to calculate the same, which is/are as follows -

Bending Stress = Bending Moment/Section Modulus in Tension

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