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Section Modulus of Rail given Seat Load Formula

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

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

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

Section Modulus of Rail given Seat Load Example

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Here is how the Section Modulus of Rail given Seat Load equation looks like with Values.

Here is how the Section Modulus of Rail given Seat Load equation looks like with Units.

Here is how the Section Modulus of Rail given Seat Load equation looks like.

0.0125 = \frac{43.47 \cdot 2.3}{16 \cdot 500}

0.0125m³ = \frac{43.47kN \cdot 2.3m}{16m \cdot 500kN}

0.0125 = \frac{43.47 \cdot 2.3}{16 \cdot 500}

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Section Modulus of Rail given Seat Load Solution

Follow our step by step solution on how to calculate Section Modulus of Rail given Seat Load?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

z = \frac{43.47kN \cdot 2.3m}{16m \cdot 500kN}

Next Step Prepare to Evaluate

∴

z = \frac{43.47 \cdot 2.3}{16 \cdot 500}

Next Step Evaluate

∴

z = 0.012497625m³

LAST Step Rounding Answer

∴

z = 0.0125m³

Section Modulus of Rail given Seat Load Formula Elements

Variables

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

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

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

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 Section Modulus of Rail given Seat Load?

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

FAQs on Section Modulus of Rail given Seat Load

What is the formula to find Section Modulus of Rail given Seat Load?

The formula of Section Modulus of Rail given Seat Load is expressed as Section Modulus = (Wheel Load*Sleeper Spacing)/(Characteristic Length of Rail*Seat Load). Here is an example- 0.0138 = (43470*2.3)/(16*500000).

How to calculate Section Modulus of Rail given Seat Load?

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

Can the Section Modulus of Rail given Seat Load be negative?

Yes, the Section Modulus of Rail given Seat Load, measured in Volume can be negative.

Which unit is used to measure Section Modulus of Rail given Seat Load?

Section Modulus of Rail given Seat Load is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Section Modulus of Rail given Seat Load can be measured.

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Section Modulus of Rail given Seat Load Formula

Section Modulus of Rail given Seat Load Example

Section Modulus of Rail given Seat Load Solution

Section Modulus of Rail given Seat Load Formula Elements

Other formulas in Lateral Forces category

How to Evaluate Section Modulus of Rail given Seat Load?

FAQs on Section Modulus of Rail given Seat Load

Variable Name