Section Modulus of Rail given Seat Load 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%
✖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%

✖Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.ⓘ Section Modulus of Rail given Seat Load [z]

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Section Modulus of Rail given Seat Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

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
Characteristic Length of Rail: 16 Meter --> 16 Meter No Conversion Required
Seat Load: 500 Kilonewton --> 500 Kilonewton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

z = (W_L*S)/(I*L_max) --> (43.47*2.3)/(16*500)

Evaluating ... ...

z = 0.012497625

STEP 3: Convert Result to Output's Unit

0.012497625 Cubic Meter --> No Conversion Required

FINAL ANSWER

0.012497625 ≈ 0.012498 Cubic Meter <-- Section Modulus

(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

Section Modulus of Rail given Seat Load Formula

LaTeX Go

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

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.

How to Calculate Section Modulus of Rail given Seat Load?

Section Modulus of Rail given Seat Load calculator uses Section Modulus = (Wheel Load*Sleeper Spacing)/(Characteristic Length of Rail*Seat Load) to calculate the Section Modulus, The Section Modulus of Rail given Seat Load defines the geometric property that projects the strength and hardness of the member or structure. Section Modulus is denoted by z symbol.

How to calculate Section Modulus of Rail given Seat Load using this online calculator? To use this online calculator for Section Modulus of Rail given Seat Load, enter Wheel Load (W_L), Sleeper Spacing (S), Characteristic Length of Rail (I) & Seat Load (L_max) and hit the calculate button. Here is how the Section Modulus of Rail given Seat Load calculation can be explained with given input values -> 0.0138 = (43470*2.3)/(16*500000).

FAQ

What is Section Modulus of Rail given Seat Load?

The Section Modulus of Rail given Seat Load defines the geometric property that projects the strength and hardness of the member or structure and is represented as z = (W_L*S)/(I*L_max) or Section Modulus = (Wheel Load*Sleeper Spacing)/(Characteristic Length of Rail*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, 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.

How to calculate Section Modulus of Rail given Seat Load?

The Section Modulus of Rail given Seat Load defines the geometric property that projects the strength and hardness of the member or structure is calculated using Section Modulus = (Wheel Load*Sleeper Spacing)/(Characteristic Length of Rail*Seat Load). To calculate Section Modulus of Rail given Seat Load, you need Wheel Load (W_L), Sleeper Spacing (S), Characteristic Length of Rail (I) & Seat Load (L_max). With our tool, you need to enter the respective value for Wheel Load, Sleeper Spacing, Characteristic Length of Rail & 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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