Track Modulus given Speed Factor Calculator

✖Speed of Train is the rate at which the object covers a specific distance.ⓘ Speed of Train [V_t]			+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]			+10% -10%

✖Track modulus is the vertical stiffness of rail foundation.ⓘ Track Modulus given Speed Factor [k]

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Track Modulus given Speed Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Track Modulus = (Speed of Train/(18.2*Speed Factor))^2
k = (V_t/(18.2*F_sf))^2
This formula uses 3 Variables

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Speed of Train: 149 Kilometer per Hour --> 149 Kilometer per Hour No Conversion Required
Speed Factor: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = (V_t/(18.2*F_sf))^2 --> (149/(18.2*2))^2

Evaluating ... ...

k = 16.7559775389446

STEP 3: Convert Result to Output's Unit

164.320007132279 Pascal -->16.7559775389446 Kilogram-Force per Square Meter (Check conversion here)

FINAL ANSWER

16.7559775389446 ≈ 16.75598 Kilogram-Force per Square Meter <-- Track Modulus

(Calculation completed in 00.007 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

Track Modulus given Speed Factor Formula

LaTeX Go

Track Modulus = (Speed of Train/(18.2*Speed Factor))^2
k = (V_t/(18.2*F_sf))^2

What are the requirement of a good track?

(a) The gauge should be correct and uniform.
(b) The rails should have perfect cross levels. In curves, the outer rail should have proper super elevation to take into account the centrifugal force.
(c) The alignment should be straight and fiee of kinks. In the case of curves, a proper transition should be provided between the straight track and the curve.
(d) The gradient should be uniform and as gentle as possible. The change of gradient should be followed by a proper vertical curve to provide a smooth ride.
(e) The track should be resilient and elastic in order to absorb the shocks and vibrations of running trains.
(f) The track should have a good drainage system so that the stability of the track is not affected by waterlogging.

How to Calculate Track Modulus given Speed Factor?

Track Modulus given Speed Factor calculator uses Track Modulus = (Speed of Train/(18.2*Speed Factor))^2 to calculate the Track Modulus, Track Modulus given Speed Factor is similar to modulus of elasticity, index of measurement of resistance to deformation. Track Modulus is denoted by k symbol.

How to calculate Track Modulus given Speed Factor using this online calculator? To use this online calculator for Track Modulus given Speed Factor, enter Speed of Train (V_t) & Speed Factor (F_sf) and hit the calculate button. Here is how the Track Modulus given Speed Factor calculation can be explained with given input values -> 1.708634 = (41.3888888888889/(18.2*2))^2.

FAQ

What is Track Modulus given Speed Factor?

Track Modulus given Speed Factor is similar to modulus of elasticity, index of measurement of resistance to deformation and is represented as k = (V_t/(18.2*F_sf))^2 or Track Modulus = (Speed of Train/(18.2*Speed Factor))^2. Speed of Train is the rate at which the object covers a specific distance & Speed Factor is a value which is used to change the static rail load to a dynamic rail load.

How to calculate Track Modulus given Speed Factor?

Track Modulus given Speed Factor is similar to modulus of elasticity, index of measurement of resistance to deformation is calculated using Track Modulus = (Speed of Train/(18.2*Speed Factor))^2. To calculate Track Modulus given Speed Factor, you need Speed of Train (V_t) & Speed Factor (F_sf). With our tool, you need to enter the respective value for Speed of Train & Speed Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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