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Characteristic Length given Seat Load on Rail Formula

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

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

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

Characteristic Length given Seat Load on Rail Example

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Here is how the Characteristic Length given Seat Load on Rail equation looks like with Values.

Here is how the Characteristic Length given Seat Load on Rail equation looks like with Units.

Here is how the Characteristic Length given Seat Load on Rail equation looks like.

15.997 = 43.47 \cdot \frac{2.3}{0.0125 \cdot 500}

15.997m = 43.47kN \cdot \frac{2.3m}{0.0125m³ \cdot 500kN}

15.997 = 43.47 \cdot \frac{2.3}{0.0125 \cdot 500}

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Characteristic Length given Seat Load on Rail Solution

Follow our step by step solution on how to calculate Characteristic Length given Seat Load on Rail?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I = 43.47kN \cdot \frac{2.3m}{0.0125m³ \cdot 500kN}

Next Step Prepare to Evaluate

∴

I = 43.47 \cdot \frac{2.3}{0.0125 \cdot 500}

Next Step Evaluate

∴

I = 15.99696m

LAST Step Rounding Answer

∴

I = 15.997m

Characteristic Length given Seat Load on Rail Formula Elements

Variables

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

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

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

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

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 Characteristic Length given Seat Load on Rail?

Characteristic Length given Seat Load on Rail evaluator uses Characteristic Length of Rail = Wheel Load*Sleeper Spacing/(Section Modulus*Seat Load) to evaluate 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 evaluate Characteristic Length given Seat Load on Rail using this online evaluator? To use this online evaluator 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.

FAQs on Characteristic Length given Seat Load on Rail

What is the formula to find Characteristic Length given Seat Load on Rail?

The formula of Characteristic Length given Seat Load on Rail is expressed as Characteristic Length of Rail = Wheel Load*Sleeper Spacing/(Section Modulus*Seat Load). Here is an example- 17.664 = 43470*2.3/(0.0125*500000).

How to calculate Characteristic Length given Seat Load on Rail?

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

Can the Characteristic Length given Seat Load on Rail be negative?

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

Which unit is used to measure Characteristic Length given Seat Load on Rail?

Characteristic Length 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 Characteristic Length given Seat Load on Rail can be measured.

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Characteristic Length given Seat Load on Rail Formula

Characteristic Length given Seat Load on Rail Example

Characteristic Length given Seat Load on Rail Solution

Characteristic Length given Seat Load on Rail Formula Elements

Other formulas in Lateral Forces category

How to Evaluate Characteristic Length given Seat Load on Rail?

FAQs on Characteristic Length given Seat Load on Rail

Variable Name