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Force required to prevent expansion Formula

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The force required to prevent expansion due to temperature. Check FAQs

F = α \cdot t \cdot A \cdot E

F - Force required to prevent expansion?α - Coefficient of Expansion?t - Rise in Temperature at which the track is laid?A - Cross sectional area of a rail?E - Modulus of elasticity of steel of rails?

Force required to prevent expansion Example

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Here is how the Force required to prevent expansion equation looks like with Values.

Here is how the Force required to prevent expansion equation looks like with Units.

Here is how the Force required to prevent expansion equation looks like.

0.445 = 1.2E-5 \cdot 30 \cdot 60 \cdot 21.5

0.445kg = 1.2E-5°C⁻¹ \cdot 30°C \cdot 60cm² \cdot 21.5kgf/cm²

0.445 = 1.2E-5 \cdot 30 \cdot 60 \cdot 21.5

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Force required to prevent expansion Solution

Follow our step by step solution on how to calculate Force required to prevent expansion?

FIRST Step Consider the formula

F = α \cdot t \cdot A \cdot E

Next Step Substitute values of Variables

∴

F = 1.2E-5°C⁻¹ \cdot 30°C \cdot 60cm² \cdot 21.5kgf/cm²

Next Step Convert Units

∴

F = 1.2E-5K⁻¹ \cdot 30K \cdot 60cm² \cdot 21.5kgf/cm²

Next Step Prepare to Evaluate

∴

F = 1.2E-5 \cdot 30 \cdot 60 \cdot 21.5

Next Step Evaluate

∴

F = 0.44505kg

LAST Step Rounding Answer

∴

F = 0.445kg

Force required to prevent expansion Formula Elements

Variables

Force required to prevent expansion

The force required to prevent expansion due to temperature.

Symbol: F

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Force required to prevent expansion

Coefficient of Expansion

The Coefficient of Expansion is the change in length per unit change in temperature of a solid. It is expressed in per °C.

Symbol: α

Measurement: Coefficient of Linear ExpansionUnit: °C⁻¹

Note: Value should be greater than 0.

Formulas to find Coefficient of Expansion

Rise in Temperature at which the track is laid

The Rise in Temperature at which the track is laid is the minimum temperature that exceeds the normal temperature at which the track is laid.

Symbol: t

Measurement: Temperature DifferenceUnit: °C

Note: Value should be greater than 0.

Formulas to find Rise in Temperature at which the track is laid

Cross sectional area of a rail

Cross sectional area of a rail in cm².

Symbol: A

Measurement: AreaUnit: cm²

Note: Value should be greater than 0.

Formulas to find Cross sectional area of a rail

Modulus of elasticity of steel of rails

The modulus of elasticity of steel of rails is a measure of its stiffness. It is equal to the stress applied to it divided by the resulting elastic strain.

Symbol: E

Measurement: PressureUnit: kgf/cm²

Note: Value should be greater than 0.

Formulas to find Modulus of elasticity of steel of rails

Other formulas in Rail Joints, Welding of Rails and Sleepers category

Go Increase in length due to expansion

ΔL Bar = l \cdot α \cdot t

How to Evaluate Force required to prevent expansion?

Force required to prevent expansion evaluator uses Force required to prevent expansion = Coefficient of Expansion*Rise in Temperature at which the track is laid*Cross sectional area of a rail*Modulus of elasticity of steel of rails to evaluate the Force required to prevent expansion, The Force required to prevent expansion formula is defined as product of coefficient of expansion to the rise in temperature and area of rail to the modulus of elasticity of steel. Force required to prevent expansion is denoted by F symbol.

How to evaluate Force required to prevent expansion using this online evaluator? To use this online evaluator for Force required to prevent expansion, enter Coefficient of Expansion (α), Rise in Temperature at which the track is laid (t), Cross sectional area of a rail (A) & Modulus of elasticity of steel of rails (E) and hit the calculate button.

FAQs on Force required to prevent expansion

What is the formula to find Force required to prevent expansion?

The formula of Force required to prevent expansion is expressed as Force required to prevent expansion = Coefficient of Expansion*Rise in Temperature at which the track is laid*Cross sectional area of a rail*Modulus of elasticity of steel of rails. Here is an example- 0.44505 = 1.15E-05*30*0.006*2108429.74999985.

How to calculate Force required to prevent expansion?

With Coefficient of Expansion (α), Rise in Temperature at which the track is laid (t), Cross sectional area of a rail (A) & Modulus of elasticity of steel of rails (E) we can find Force required to prevent expansion using the formula - Force required to prevent expansion = Coefficient of Expansion*Rise in Temperature at which the track is laid*Cross sectional area of a rail*Modulus of elasticity of steel of rails.

Can the Force required to prevent expansion be negative?

No, the Force required to prevent expansion, measured in Weight cannot be negative.

Which unit is used to measure Force required to prevent expansion?

Force required to prevent expansion is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Force required to prevent expansion can be measured.

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Force required to prevent expansion Formula

Force required to prevent expansion Example

Force required to prevent expansion Solution

Force required to prevent expansion Formula Elements

Other formulas in Rail Joints, Welding of Rails and Sleepers category

How to Evaluate Force required to prevent expansion?

FAQs on Force required to prevent expansion

Variable Name