Speed Factor Calculator

✖Speed of Train is the rate at which the object covers a specific distance.ⓘ Speed of Train [V_t]			+10% -10%
✖Track modulus is the vertical stiffness of rail foundation.ⓘ Track Modulus [k]			+10% -10%

✖Speed Factor is a value which is used to change the static rail load to a dynamic rail load.ⓘ Speed Factor [F_sf]

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Speed Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Speed Factor = Speed of Train/(18.2*sqrt(Track Modulus))
F_sf = V_t/(18.2*sqrt(k))
This formula uses 1 Functions, 3 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

Speed Factor - Speed Factor is a value which is used to change the static rail load to a dynamic rail load.
Speed of Train - (Measured in Kilometer per Hour) - Speed of Train is the rate at which the object covers a specific distance.
Track Modulus - (Measured in Kilogram-Force per Square Meter) - Track modulus is the vertical stiffness of rail foundation.

STEP 1: Convert Input(s) to Base Unit

Speed of Train: 149 Kilometer per Hour --> 149 Kilometer per Hour No Conversion Required
Track Modulus: 15 Kilogram-Force per Square Meter --> 15 Kilogram-Force per Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_sf = V_t/(18.2*sqrt(k)) --> 149/(18.2*sqrt(15))

Evaluating ... ...

F_sf = 2.11382607540258

STEP 3: Convert Result to Output's Unit

2.11382607540258 --> No Conversion Required

FINAL ANSWER

2.11382607540258 ≈ 2.113826 <-- Speed Factor

(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!

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< Speed Factor Calculators

Speed given Speed Factor

LaTeX Go Speed of Train = Speed Factor*(18.2*sqrt(Track Modulus))

Speed Factor

LaTeX Go Speed Factor = Speed of Train/(18.2*sqrt(Track Modulus))

Speed using German Formula

LaTeX Go Speed of Train = sqrt(Speed Factor*30000)

Speed Factor according to German Formula

LaTeX Go Speed Factor = (Speed of Train^2)/30000

Speed Factor Formula

LaTeX Go

Speed Factor = Speed of Train/(18.2*sqrt(Track Modulus))
F_sf = V_t/(18.2*sqrt(k))

What are the forces acting on track?

A rail is subjected to heavy stress due to the following types of forces:
(a) Vertical loads consisting of dead loads, dynamic augment of loads including
the effect of speed, the hammer blow effect, the inertia of reciprocating masses, etc.
(b) Lateral forces due to the movement of live loads, eccentric vertical loading, shunting of locomotives, etc.
(c) Longitudinal forces due to tractive effort and braking forces, thermal forces, etc.
(d) Contact stresses due to wheel and rail contact
(e) Stresses due to surface defects such as flat spots on wheels

How to Calculate Speed Factor?

Speed Factor calculator uses Speed Factor = Speed of Train/(18.2*sqrt(Track Modulus)) to calculate the Speed Factor, The Speed Factor is defined as the value used for increasing the static load value for considering dynamic effect for design of rails. Its generally called as Indian formula. Speed Factor is denoted by F_sf symbol.

How to calculate Speed Factor using this online calculator? To use this online calculator for Speed Factor, enter Speed of Train (V_t) & Track Modulus (k) and hit the calculate button. Here is how the Speed Factor calculation can be explained with given input values -> 2.113826 = 41.3888888888889/(18.2*sqrt(147.09974999999)).

FAQ

What is Speed Factor?

The Speed Factor is defined as the value used for increasing the static load value for considering dynamic effect for design of rails. Its generally called as Indian formula and is represented as F_sf = V_t/(18.2*sqrt(k)) or Speed Factor = Speed of Train/(18.2*sqrt(Track Modulus)). Speed of Train is the rate at which the object covers a specific distance & Track modulus is the vertical stiffness of rail foundation.

How to calculate Speed Factor?

The Speed Factor is defined as the value used for increasing the static load value for considering dynamic effect for design of rails. Its generally called as Indian formula is calculated using Speed Factor = Speed of Train/(18.2*sqrt(Track Modulus)). To calculate Speed Factor, you need Speed of Train (V_t) & Track Modulus (k). With our tool, you need to enter the respective value for Speed of Train & Track Modulus 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 Speed Factor?

In this formula, Speed Factor uses Speed of Train & Track Modulus. We can use 2 other way(s) to calculate the same, which is/are as follows -

Speed Factor = (Speed of Train^2)/30000
Speed Factor = ((4.5*Speed of Train^2)/10^5)-((1.5*Speed of Train^3)/10^7)

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