Stress in Rail Foot 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 Tension is the geometric property defined to find the strength of a structure.ⓘ Section Modulus in Tension [Z_t]			+10% -10%

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

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Formula

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Stress in Rail Foot

Formula

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

Example

`"27.05882Pa"="1.38N*m"/"51m³"`

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Stress in Rail Foot Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Stress = Bending Moment/Section Modulus in Tension
S_h = M/Z_t
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 Tension - (Measured in Cubic Meter) - Section Modulus in Tension is the geometric property defined to find the strength of a structure.

STEP 1: Convert Input(s) to Base Unit

Bending Moment: 1.38 Newton Meter --> 1.38 Newton Meter No Conversion Required
Section Modulus in Tension: 51 Cubic Meter --> 51 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_h = M/Z_t --> 1.38/51

Evaluating ... ...

S_h = 0.0270588235294118

STEP 3: Convert Result to Output's Unit

27.0588235294118 Pascal --> No Conversion Required

FINAL ANSWER

27.0588235294118 ≈ 27.05882 Pascal <-- Bending Stress

(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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< 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 Foot Formula

Bending Stress = Bending Moment/Section Modulus in Tension
S_h = M/Z_t

What is Stress in Track?

Stresses in a track due to the various types of forces are calculated based on the theory of double track modulus. The method requires determination of virtual wheel load or Talbot Load. The instantaneous load applied on the rail is much higher than the static wheel load of the engine or the wagon. This is called the virtual wheel load or Talbot Load after the American scientist who calculated it first for a rail.

How to Calculate Stress in Rail Foot?

Stress in Rail Foot calculator uses Bending Stress = Bending Moment/Section Modulus in Tension to calculate the Bending Stress, The Stress in Rail Foot is defined as the ratio of bending moment to that of the section modulus on tension side. Bending Stress is denoted by S_h symbol.

How to calculate Stress in Rail Foot using this online calculator? To use this online calculator for Stress in Rail Foot, enter Bending Moment (M) & Section Modulus in Tension (Z_t) and hit the calculate button. Here is how the Stress in Rail Foot calculation can be explained with given input values -> 27.05882 = 1.38/51.

FAQ

What is Stress in Rail Foot?

The Stress in Rail Foot is defined as the ratio of bending moment to that of the section modulus on tension side and is represented as S_h = M/Z_t or Bending Stress = Bending Moment/Section Modulus in Tension. 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 Tension is the geometric property defined to find the strength of a structure.

How to calculate Stress in Rail Foot?

The Stress in Rail Foot is defined as the ratio of bending moment to that of the section modulus on tension side is calculated using Bending Stress = Bending Moment/Section Modulus in Tension. To calculate Stress in Rail Foot, you need Bending Moment (M) & Section Modulus in Tension (Z_t). With our tool, you need to enter the respective value for Bending Moment & Section Modulus in Tension 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 Tension. We can use 1 other way(s) to calculate the same, which is/are as follows -

Bending Stress = Bending Moment/Section Modulus in Compression

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