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Sleeper Spacing given Seat Load on Rail Formula

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Sleeper Spacing refers to the space between the sleepers on rail. Check FAQs

S = z \cdot I \cdot \frac{L max}{W L}

S - Sleeper Spacing?z - Section Modulus?I - Characteristic Length of Rail?L_max - Seat Load?W_L - Wheel Load?

Sleeper Spacing given Seat Load on Rail Example

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Here is how the Sleeper Spacing given Seat Load on Rail equation looks like with Values.

Here is how the Sleeper Spacing given Seat Load on Rail equation looks like with Units.

Here is how the Sleeper Spacing given Seat Load on Rail equation looks like.

2.3004 = 0.0125 \cdot 16 \cdot \frac{500}{43.47}

2.3004m = 0.0125m³ \cdot 16m \cdot \frac{500kN}{43.47kN}

2.3004 = 0.0125 \cdot 16 \cdot \frac{500}{43.47}

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Sleeper Spacing given Seat Load on Rail Solution

Follow our step by step solution on how to calculate Sleeper Spacing given Seat Load on Rail?

FIRST Step Consider the formula

S = z \cdot I \cdot \frac{L max}{W L}

Next Step Substitute values of Variables

∴

S = 0.0125m³ \cdot 16m \cdot \frac{500kN}{43.47kN}

Next Step Prepare to Evaluate

∴

S = 0.0125 \cdot 16 \cdot \frac{500}{43.47}

Next Step Evaluate

∴

S = 2.30043708304578m

LAST Step Rounding Answer

∴

S = 2.3004m

Sleeper Spacing given Seat Load on Rail Formula Elements

Variables

Sleeper Spacing

Sleeper Spacing refers to the space between the sleepers on rail.

Symbol: S

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Sleeper Spacing

Section Modulus

Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.

Symbol: z

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Section Modulus

Characteristic Length of Rail

Characteristic Length of Rail specifies the length of the rail which is defined as ratio of stiffness and track modulus.

Symbol: I

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Characteristic Length of Rail

Seat Load

Seat Load refers to the maximum allowable load on a rail seat.

Symbol: L_max

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Seat Load

Wheel 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.

Symbol: W_L

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Wheel Load

Other formulas in Lateral Forces category

Go Maximum Contact Shear Stress

F s = 4.13 \cdot {(\frac{F a}{R w})}^{\frac{1}{2}}

Go Static Wheel Load given Shear Stress

F a = {(\frac{F s}{4.13})}^{2} \cdot R w

Go Radius of Wheel given Shear Stress

R w = {(\frac{4.13}{F s})}^{2} \cdot F a

Go Maximum Load on Rail Seat

L max = W L \cdot \frac{S}{z \cdot I}

How to Evaluate Sleeper Spacing given Seat Load on Rail?

Sleeper Spacing given Seat Load on Rail evaluator uses Sleeper Spacing = Section Modulus*Characteristic Length of Rail*Seat Load/Wheel Load to evaluate 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 evaluate Sleeper Spacing given Seat Load on Rail using this online evaluator? To use this online evaluator for Sleeper Spacing given Seat Load on Rail, enter Section Modulus (z), Characteristic Length of Rail (I), Seat Load (L_max) & Wheel Load (W_L) and hit the calculate button.

FAQs on Sleeper Spacing given Seat Load on Rail

What is the formula to find Sleeper Spacing given Seat Load on Rail?

The formula of Sleeper Spacing given Seat Load on Rail is expressed as Sleeper Spacing = Section Modulus*Characteristic Length of Rail*Seat Load/Wheel Load. Here is an example- 2.083333 = 0.0125*16*500000/43470.

How to calculate Sleeper Spacing given Seat Load on Rail?

With Section Modulus (z), Characteristic Length of Rail (I), Seat Load (L_max) & Wheel Load (W_L) we can find Sleeper Spacing given Seat Load on Rail using the formula - Sleeper Spacing = Section Modulus*Characteristic Length of Rail*Seat Load/Wheel Load.

Can the Sleeper Spacing given Seat Load on Rail be negative?

Yes, the Sleeper Spacing given Seat Load on Rail, measured in Length can be negative.

Which unit is used to measure Sleeper Spacing given Seat Load on Rail?

Sleeper Spacing given Seat Load on Rail is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Sleeper Spacing given Seat Load on Rail can be measured.

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Sleeper Spacing given Seat Load on Rail Formula

Sleeper Spacing given Seat Load on Rail Example

Sleeper Spacing given Seat Load on Rail Solution

Sleeper Spacing given Seat Load on Rail Formula Elements

Other formulas in Lateral Forces category

How to Evaluate Sleeper Spacing given Seat Load on Rail?

FAQs on Sleeper Spacing given Seat Load on Rail

Variable Name