Characteristic Length given Seat Load on Rail Calculator

✖Wheel load is the part of the load of a vehicle that is carried by a single wheel and transmitted by it to the road surface.ⓘ Wheel Load [W_L]			+10% -10%
✖Sleeper Spacing refers to the space between the sleepers on rail.ⓘ Sleeper Spacing [S]			+10% -10%
✖Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.ⓘ Section Modulus [z]			+10% -10%
✖Seat Load refers to the maximum allowable load on a rail seat.ⓘ Seat Load [L_max]			+10% -10%

✖Characteristic Length of Rail specifies the length of the rail which is defined as ratio of stiffness and track modulus.ⓘ Characteristic Length given Seat Load on Rail [I]

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Characteristic Length given Seat Load on Rail Solution

STEP 0: Pre-Calculation Summary

Formula Used

Characteristic Length of Rail = Wheel Load*Sleeper Spacing/(Section Modulus*Seat Load)
I = W_L*S/(z*L_max)
This formula uses 5 Variables

Variables Used

Characteristic Length of Rail - (Measured in Meter) - Characteristic Length of Rail specifies the length of the rail which is defined as ratio of stiffness and track modulus.
Wheel Load - (Measured in Kilonewton) - Wheel load is the part of the load of a vehicle that is carried by a single wheel and transmitted by it to the road surface.
Sleeper Spacing - (Measured in Meter) - Sleeper Spacing refers to the space between the sleepers on rail.
Section Modulus - (Measured in Cubic Meter) - Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.
Seat Load - (Measured in Kilonewton) - Seat Load refers to the maximum allowable load on a rail seat.

STEP 1: Convert Input(s) to Base Unit

Wheel Load: 43.47 Kilonewton --> 43.47 Kilonewton No Conversion Required
Sleeper Spacing: 2.3 Meter --> 2.3 Meter No Conversion Required
Section Modulus: 0.0125 Cubic Meter --> 0.0125 Cubic Meter No Conversion Required
Seat Load: 500 Kilonewton --> 500 Kilonewton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = W_L*S/(z*L_max) --> 43.47*2.3/(0.0125*500)

Evaluating ... ...

I = 15.99696

STEP 3: Convert Result to Output's Unit

15.99696 Meter --> No Conversion Required

FINAL ANSWER

15.99696 Meter <-- Characteristic Length of Rail

(Calculation completed in 00.020 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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Coorg Institute of Technology (CIT), Coorg

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< Lateral Forces Calculators

Maximum Load on Rail Seat

LaTeX Go Seat Load = Wheel Load*Sleeper Spacing/(Section Modulus*Characteristic Length of Rail)

Maximum Contact Shear Stress

LaTeX Go Contact Shear Stress = 4.13*(Static Load/Radius of Wheel)^(1/2)

Radius of Wheel given Shear Stress

LaTeX Go Radius of Wheel = (4.13/Contact Shear Stress)^(2)*Static Load

Static Wheel Load given Shear Stress

LaTeX Go Static Load = (Contact Shear Stress/4.13)^2*Radius of Wheel

Characteristic Length given Seat Load on Rail Formula

LaTeX Go

Characteristic Length of Rail = Wheel Load*Sleeper Spacing/(Section Modulus*Seat Load)
I = W_L*S/(z*L_max)

What are the two extreme conditions for pressure under sleepers?

End-bound sleeper: The newly compacted ballast is well compacted under the sleeper and the ends of the sleepers are somewhat hard packed. The deflection of the sleeper at the centre is more than that at the ends.
Centre-bound sleeper: As trains pass on the track, the packing under the sleeper tends to become loose because of the hammering action of the moving loads. The sleeper thus tends to be loose under the rail seat. Alternatively, due to defective packing, the sleeper is sometimes hard packed at the centre.

How to Calculate Characteristic Length given Seat Load on Rail?

Characteristic Length given Seat Load on Rail calculator uses Characteristic Length of Rail = Wheel Load*Sleeper Spacing/(Section Modulus*Seat Load) to calculate the Characteristic Length of Rail, Characteristic Length given Seat Load on Rail defines the length of the rail and the length considered for design is considered according to the stiffness and track modulus of the rail. Characteristic Length of Rail is denoted by I symbol.

How to calculate Characteristic Length given Seat Load on Rail using this online calculator? To use this online calculator for Characteristic Length given Seat Load on Rail, enter Wheel Load (W_L), Sleeper Spacing (S), Section Modulus (z) & Seat Load (L_max) and hit the calculate button. Here is how the Characteristic Length given Seat Load on Rail calculation can be explained with given input values -> 17.664 = 43470*2.3/(0.0125*500000).

FAQ

What is Characteristic Length given Seat Load on Rail?

Characteristic Length given Seat Load on Rail defines the length of the rail and the length considered for design is considered according to the stiffness and track modulus of the rail and is represented as I = W_L*S/(z*L_max) or Characteristic Length of Rail = Wheel Load*Sleeper Spacing/(Section Modulus*Seat Load). Wheel load is the part of the load of a vehicle that is carried by a single wheel and transmitted by it to the road surface, Sleeper Spacing refers to the space between the sleepers on rail, Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members & Seat Load refers to the maximum allowable load on a rail seat.

How to calculate Characteristic Length given Seat Load on Rail?

Characteristic Length given Seat Load on Rail defines the length of the rail and the length considered for design is considered according to the stiffness and track modulus of the rail is calculated using Characteristic Length of Rail = Wheel Load*Sleeper Spacing/(Section Modulus*Seat Load). To calculate Characteristic Length given Seat Load on Rail, you need Wheel Load (W_L), Sleeper Spacing (S), Section Modulus (z) & Seat Load (L_max). With our tool, you need to enter the respective value for Wheel Load, Sleeper Spacing, Section Modulus & Seat Load 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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