Wheel Load given Seat Load Calculator

✖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%
✖Characteristic Length of Rail specifies the length of the rail which is defined as ratio of stiffness and track modulus.ⓘ Characteristic Length of Rail [I]			+10% -10%
✖Seat Load refers to the maximum allowable load on a rail seat.ⓘ Seat Load [L_max]			+10% -10%
✖Sleeper Spacing refers to the space between the sleepers on rail.ⓘ Sleeper Spacing [S]			+10% -10%

✖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 given Seat Load [W_L]

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Wheel Load given Seat Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
Seat Load - (Measured in Kilonewton) - Seat Load refers to the maximum allowable load on a rail seat.
Sleeper Spacing - (Measured in Meter) - Sleeper Spacing refers to the space between the sleepers on rail.

STEP 1: Convert Input(s) to Base Unit

Section Modulus: 0.0125 Cubic Meter --> 0.0125 Cubic Meter No Conversion Required
Characteristic Length of Rail: 16 Meter --> 16 Meter No Conversion Required
Seat Load: 500 Kilonewton --> 500 Kilonewton No Conversion Required
Sleeper Spacing: 2.3 Meter --> 2.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_L = z*I*L_max/S --> 0.0125*16*500/2.3

Evaluating ... ...

W_L = 43.4782608695652

STEP 3: Convert Result to Output's Unit

43478.2608695652 Newton -->43.4782608695652 Kilonewton (Check conversion here)

FINAL ANSWER

43.4782608695652 ≈ 43.47826 Kilonewton <-- Wheel Load

(Calculation completed in 00.004 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

Wheel Load given Seat Load Formula

LaTeX Go

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

What are the Loads on sleepers?

The sleepers are subjected to a large number of forces such as dead and live loads, dynamic components of tracks such as rails and sleeper fastenings, maintenance standards, and other such related factors. The maximum load on the rail seat is 30 per cent-50 per cent of the dynamic wheel load, depending on various factors and especially the packing under the sleeper.

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 Wheel Load given Seat Load?

Wheel Load given Seat Load calculator uses Wheel Load = Section Modulus*Characteristic Length of Rail*Seat Load/Sleeper Spacing to calculate the Wheel Load, The Wheel Load given Seat Load defines the relation between the length of rail and other geometric property of rail and the loading on rail. Wheel Load is denoted by W_L symbol.

How to calculate Wheel Load given Seat Load using this online calculator? To use this online calculator for Wheel Load given Seat Load, enter Section Modulus (z), Characteristic Length of Rail (I), Seat Load (L_max) & Sleeper Spacing (S) and hit the calculate button. Here is how the Wheel Load given Seat Load calculation can be explained with given input values -> 0.043478 = 0.0125*16*500000/2.3.

FAQ

What is Wheel Load given Seat Load?

The Wheel Load given Seat Load defines the relation between the length of rail and other geometric property of rail and the loading on rail and is represented as W_L = z*I*L_max/S or Wheel Load = Section Modulus*Characteristic Length of Rail*Seat Load/Sleeper Spacing. Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members, Characteristic Length of Rail specifies the length of the rail which is defined as ratio of stiffness and track modulus, Seat Load refers to the maximum allowable load on a rail seat & Sleeper Spacing refers to the space between the sleepers on rail.

How to calculate Wheel Load given Seat Load?

The Wheel Load given Seat Load defines the relation between the length of rail and other geometric property of rail and the loading on rail is calculated using Wheel Load = Section Modulus*Characteristic Length of Rail*Seat Load/Sleeper Spacing. To calculate Wheel Load given Seat Load, you need Section Modulus (z), Characteristic Length of Rail (I), Seat Load (L_max) & Sleeper Spacing (S). With our tool, you need to enter the respective value for Section Modulus, Characteristic Length of Rail, Seat Load & Sleeper Spacing 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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