Sleeper Spacing given Seat Load on Rail Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sleeper Spacing = Section Modulus*Characteristic Length of Rail*Seat Load/Wheel Load
S = z*I*Lmax/WL
This formula uses 5 Variables
Variables Used
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.
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.
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.
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
Wheel Load: 43.47 Kilonewton --> 43.47 Kilonewton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = z*I*Lmax/WL --> 0.0125*16*500/43.47
Evaluating ... ...
S = 2.30043708304578
STEP 3: Convert Result to Output's Unit
2.30043708304578 Meter --> No Conversion Required
FINAL ANSWER
2.30043708304578 2.300437 Meter <-- Sleeper Spacing
(Calculation completed in 00.004 seconds)

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NSS College of Engineering (NSSCE), Palakkad
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8 Lateral Forces Calculators

Section Modulus of Rail given Seat Load
Go Section Modulus = (Wheel Load*Sleeper Spacing)/(Characteristic Length of Rail*Seat Load)
Characteristic Length given Seat Load on Rail
Go Characteristic Length of Rail = Wheel Load*Sleeper Spacing/(Section Modulus*Seat Load)
Maximum Load on Rail Seat
Go Seat Load = Wheel Load*Sleeper Spacing/(Section Modulus*Characteristic Length of Rail)
Sleeper Spacing given Seat Load on Rail
Go Sleeper Spacing = Section Modulus*Characteristic Length of Rail*Seat Load/Wheel Load
Wheel Load given Seat Load
Go Wheel Load = Section Modulus*Characteristic Length of Rail*Seat Load/Sleeper Spacing
Maximum Contact Shear Stress
Go Contact Shear Stress = 4.13*(Static Load/Radius of Wheel)^(1/2)
Radius of Wheel given Shear Stress
Go Radius of Wheel = (4.13/Contact Shear Stress)^(2)*Static Load
Static Wheel Load given Shear Stress
Go Static Load = (Contact Shear Stress/4.13)^2*Radius of Wheel

Sleeper Spacing given Seat Load on Rail Formula

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

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 Sleeper Spacing given Seat Load on Rail?

Sleeper Spacing given Seat Load on Rail calculator uses Sleeper Spacing = Section Modulus*Characteristic Length of Rail*Seat Load/Wheel Load to calculate the Sleeper Spacing, The Sleeper Spacing given Seat Load on Rail defines the spacing between two sleepers placed over the ballast. Sleeper Spacing is denoted by S symbol.

How to calculate Sleeper Spacing given Seat Load on Rail using this online calculator? To use this online calculator for Sleeper Spacing given Seat Load on Rail, enter Section Modulus (z), Characteristic Length of Rail (I), Seat Load (Lmax) & Wheel Load (WL) and hit the calculate button. Here is how the Sleeper Spacing given Seat Load on Rail calculation can be explained with given input values -> 2.083333 = 0.0125*16*500000/43470.

FAQ

What is Sleeper Spacing given Seat Load on Rail?
The Sleeper Spacing given Seat Load on Rail defines the spacing between two sleepers placed over the ballast and is represented as S = z*I*Lmax/WL or Sleeper Spacing = Section Modulus*Characteristic Length of Rail*Seat Load/Wheel Load. 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 & 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.
How to calculate Sleeper Spacing given Seat Load on Rail?
The Sleeper Spacing given Seat Load on Rail defines the spacing between two sleepers placed over the ballast is calculated using Sleeper Spacing = Section Modulus*Characteristic Length of Rail*Seat Load/Wheel Load. To calculate Sleeper Spacing given Seat Load on Rail, you need Section Modulus (z), Characteristic Length of Rail (I), Seat Load (Lmax) & Wheel Load (WL). With our tool, you need to enter the respective value for Section Modulus, Characteristic Length of Rail, Seat Load & Wheel 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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