Force required to prevent expansion Calculator

✖The Coefficient of Expansion is the change in length per unit change in temperature of a solid. It is expressed in per °C.ⓘ Coefficient of Expansion [α]			+10% -10%
✖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.ⓘ Rise in Temperature at which the track is laid [t]			+10% -10%
✖Cross sectional area of a rail in cm².ⓘ Cross sectional area of a rail [A]			+10% -10%
✖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.ⓘ Modulus of elasticity of steel of rails [E]			+10% -10%

✖The force required to prevent expansion due to temperature.ⓘ Force required to prevent expansion [F]

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Formula

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Force required to prevent expansion

Formula

`"F" = "α"*"t"*"A"*"E"`

Example

`"0.44505kg"="1.15E^-5°C⁻¹"*"30°C"*"60cm²"*"21.5kgf/cm²"`

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Force required to prevent expansion Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
F = α*t*A*E
This formula uses 5 Variables

Variables Used

Force required to prevent expansion - (Measured in Kilogram) - The force required to prevent expansion due to temperature.
Coefficient of Expansion - (Measured in Per Kelvin) - The Coefficient of Expansion is the change in length per unit change in temperature of a solid. It is expressed in per °C.
Rise in Temperature at which the track is laid - (Measured in Kelvin) - 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.
Cross sectional area of a rail - (Measured in Square Centimeter) - Cross sectional area of a rail in cm².
Modulus of elasticity of steel of rails - (Measured in Kilogram-Force per Square Centimeter) - 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.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Expansion: 1.15E-05 Per Degree Celsius --> 1.15E-05 Per Kelvin (Check conversion here)
Rise in Temperature at which the track is laid: 30 Degree Celsius --> 30 Kelvin (Check conversion here)
Cross sectional area of a rail: 60 Square Centimeter --> 60 Square Centimeter No Conversion Required
Modulus of elasticity of steel of rails: 21.5 Kilogram-Force per Square Centimeter --> 21.5 Kilogram-Force per Square Centimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F = α*t*A*E --> 1.15E-05*30*60*21.5

Evaluating ... ...

F = 0.44505

STEP 3: Convert Result to Output's Unit

0.44505 Kilogram --> No Conversion Required

FINAL ANSWER

0.44505 Kilogram <-- Force required to prevent expansion

(Calculation completed in 00.020 seconds)

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Created by Ayush Singh

Gautam Buddha University (GBU), Greater Noida

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Coorg Institute of Technology (CIT), Coorg

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< 2 Rail Joints, Welding of Rails and Sleepers Calculators

Force required to prevent expansion

Go 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

Increase in length due to expansion

Go Increase in Bar Length = Length of rail*Coefficient of Expansion*Rise in Temperature at which the track is laid

Force required to prevent expansion 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
F = α*t*A*E

Why is the force calculated here?

The rail fittings hold down the rails to the sleeper, prevent the larger movement and transfer the longitudinal stresses in transverse and vertical direction.

How to Calculate Force required to prevent expansion?

Force required to prevent expansion calculator 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 calculate 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 calculate Force required to prevent expansion using this online calculator? To use this online calculator 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. Here is how the Force required to prevent expansion calculation can be explained with given input values -> 0.44505 = 1.15E-05*30*0.006*2108429.74999985.

FAQ

What is 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 and is represented as F = α*t*A*E or 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. The Coefficient of Expansion is the change in length per unit change in temperature of a solid. It is expressed in per °C, 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, Cross sectional area of a rail in cm² & 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.

How to calculate 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 is calculated using 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 calculate Force required to prevent expansion, you need 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). With our tool, you need to enter the respective value for 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 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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