Dynamic Overload at Joints Calculator

✖Static Load is defined as the stationary load used for easy calculation of stress and moments.ⓘ Static Load [F_a]			+10% -10%
✖Speed of Train is the rate at which the object covers a specific distance.ⓘ Speed of Train [V_t]			+10% -10%
✖Unsuspended Mass, also called unsprung mass per wheel is the mass on rail due to small diameter wheels used in modern trains.ⓘ Unsuspended Mass [w]			+10% -10%

✖Dynamic overload is load due to small diameter wheels with higher unsuspended masses.ⓘ Dynamic Overload at Joints [F]

⎘ Copy

👎

Formula

✖

Dynamic Overload at Joints

Formula

`"F" = "F"_{"a"}+0.1188*"V"_{"t"}*sqrt("w")`

Example

`"311.9522tf"="200tf"+0.1188*"149km/h"*sqrt("40tf")`

Calculator

LaTeX

Reset

👍

Download Railway Track and Track Stresses Formulas PDF

Dynamic Overload at Joints Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Overload = Static Load+0.1188*Speed of Train*sqrt(Unsuspended Mass)
F = F_a+0.1188*V_t*sqrt(w)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Dynamic Overload - (Measured in Ton-Force (Metric)) - Dynamic overload is load due to small diameter wheels with higher unsuspended masses.
Static Load - (Measured in Ton-Force (Metric)) - Static Load is defined as the stationary load used for easy calculation of stress and moments.
Speed of Train - (Measured in Kilometer per Hour) - Speed of Train is the rate at which the object covers a specific distance.
Unsuspended Mass - (Measured in Ton-Force (Metric)) - Unsuspended Mass, also called unsprung mass per wheel is the mass on rail due to small diameter wheels used in modern trains.

STEP 1: Convert Input(s) to Base Unit

Static Load: 200 Ton-Force (Metric) --> 200 Ton-Force (Metric) No Conversion Required
Speed of Train: 149 Kilometer per Hour --> 149 Kilometer per Hour No Conversion Required
Unsuspended Mass: 40 Ton-Force (Metric) --> 40 Ton-Force (Metric) No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F = F_a+0.1188*V_t*sqrt(w) --> 200+0.1188*149*sqrt(40)

Evaluating ... ...

F = 311.952218636345

STEP 3: Convert Result to Output's Unit

3059206.2248899 Newton -->311.952218636345 Ton-Force (Metric) (Check conversion here)

FINAL ANSWER

311.952218636345 ≈ 311.9522 Ton-Force (Metric) <-- Dynamic Overload

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Transportation Engineering » Railway Engineering » Railway Track and Track Stresses » Vertical Loads » Dynamic Overload at Joints

Credits

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

Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

< 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

Dynamic Overload at Joints Formula

Dynamic Overload = Static Load+0.1188*Speed of Train*sqrt(Unsuspended Mass)
F = F_a+0.1188*V_t*sqrt(w)

What happens if the wheels have unsuspended mass?

Due to modernization, Indian Railways is progressively using more and more number of diesel and electric engines. These engines have smaller diameter of wheels with higher unsprung (unsuspended) masses. This leads to dynamic overloading of joints resulting in the faster deterioration of the track near joints.

How to Calculate Dynamic Overload at Joints?

Dynamic Overload at Joints calculator uses Dynamic Overload = Static Load+0.1188*Speed of Train*sqrt(Unsuspended Mass) to calculate the Dynamic Overload, The Dynamic Overload at Joints is the load over the rail due to the modern wheels which are small in diameter and the mass of wheel are unsuspended. Dynamic Overload is denoted by F symbol.

How to calculate Dynamic Overload at Joints using this online calculator? To use this online calculator for Dynamic Overload at Joints, enter Static Load (F_a), Speed of Train (V_t) & Unsuspended Mass (w) and hit the calculate button. Here is how the Dynamic Overload at Joints calculation can be explained with given input values -> 0.03181 = 1961329.99999986+0.1188*41.3888888888889*sqrt(392265.999999972).

FAQ

What is Dynamic Overload at Joints?

The Dynamic Overload at Joints is the load over the rail due to the modern wheels which are small in diameter and the mass of wheel are unsuspended and is represented as F = F_a+0.1188*V_t*sqrt(w) or Dynamic Overload = Static Load+0.1188*Speed of Train*sqrt(Unsuspended Mass). Static Load is defined as the stationary load used for easy calculation of stress and moments, Speed of Train is the rate at which the object covers a specific distance & Unsuspended Mass, also called unsprung mass per wheel is the mass on rail due to small diameter wheels used in modern trains.

How to calculate Dynamic Overload at Joints?

The Dynamic Overload at Joints is the load over the rail due to the modern wheels which are small in diameter and the mass of wheel are unsuspended is calculated using Dynamic Overload = Static Load+0.1188*Speed of Train*sqrt(Unsuspended Mass). To calculate Dynamic Overload at Joints, you need Static Load (F_a), Speed of Train (V_t) & Unsuspended Mass (w). With our tool, you need to enter the respective value for Static Load, Speed of Train & Unsuspended Mass and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search