Increase in length due to expansion Calculator

✖Length of rail in cm. The standard length is 1300 cm.ⓘ Length of rail [l]			+10% -10%
✖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%

✖The Increase in Bar Length value is the value of the increase in length.ⓘ Increase in length due to expansion [ΔL_Bar]

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Formula

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Increase in length due to expansion

Formula

`"ΔL"_{"Bar"} = "l"*"α"*"t"`

Example

`"4.416mm"="1280cm"*"1.15E^-5°C⁻¹"*"30°C"`

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Increase in length due to expansion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Increase in Bar Length = Length of rail*Coefficient of Expansion*Rise in Temperature at which the track is laid
ΔL_Bar = l*α*t
This formula uses 4 Variables

Variables Used

Increase in Bar Length - (Measured in Meter) - The Increase in Bar Length value is the value of the increase in length.
Length of rail - (Measured in Meter) - Length of rail in cm. The standard length is 1300 cm.
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.

STEP 1: Convert Input(s) to Base Unit

Length of rail: 1280 Centimeter --> 12.8 Meter (Check conversion here)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔL_Bar = l*α*t --> 12.8*1.15E-05*30

Evaluating ... ...

ΔL_Bar = 0.004416

STEP 3: Convert Result to Output's Unit

0.004416 Meter -->4.416 Millimeter (Check conversion here)

FINAL ANSWER

4.416 Millimeter <-- Increase in Bar Length

(Calculation completed in 00.004 seconds)

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Created by Ayush Singh

Gautam Buddha University (GBU), Greater Noida

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Verified by Mithila Muthamma PA

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

Increase in length due to expansion Formula

Increase in Bar Length = Length of rail*Coefficient of Expansion*Rise in Temperature at which the track is laid
ΔL_Bar = l*α*t

Rails on thermal expansion

When temperatures rise, steel tracks will expand, meaning they get longer. Heat-related expansion places a lot of stress on the ties, ballasts, and rail anchors that keep the tracks fixed to the ground. Eventually, the tracks will buckle under the force

Proportionality and Longitudinal stresses

Increase in length is not proportional to the length of rail because the rail fittings hold down the rails to the sleeper, preventing the larger movement. And also transfer the longitudinal stresses in the transverse and vertical direction. These transverse or lateral stresses may put the track out of alignment.

How to Calculate Increase in length due to expansion?

Increase in length due to expansion calculator uses Increase in Bar Length = Length of rail*Coefficient of Expansion*Rise in Temperature at which the track is laid to calculate the Increase in Bar Length, The Increase in length due to expansion formula is defined as product of length of rail to the coefficient of expansion and rise in temperature at which track is laid. Increase in Bar Length is denoted by ΔL_Bar symbol.

How to calculate Increase in length due to expansion using this online calculator? To use this online calculator for Increase in length due to expansion, enter Length of rail (l), Coefficient of Expansion (α) & Rise in Temperature at which the track is laid (t) and hit the calculate button. Here is how the Increase in length due to expansion calculation can be explained with given input values -> 4416 = 12.8*1.15E-05*30.

FAQ

What is Increase in length due to expansion?

The Increase in length due to expansion formula is defined as product of length of rail to the coefficient of expansion and rise in temperature at which track is laid and is represented as ΔL_Bar = l*α*t or Increase in Bar Length = Length of rail*Coefficient of Expansion*Rise in Temperature at which the track is laid. Length of rail in cm. The standard length is 1300 cm, 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.

How to calculate Increase in length due to expansion?

The Increase in length due to expansion formula is defined as product of length of rail to the coefficient of expansion and rise in temperature at which track is laid is calculated using Increase in Bar Length = Length of rail*Coefficient of Expansion*Rise in Temperature at which the track is laid. To calculate Increase in length due to expansion, you need Length of rail (l), Coefficient of Expansion (α) & Rise in Temperature at which the track is laid (t). With our tool, you need to enter the respective value for Length of rail, Coefficient of Expansion & Rise in Temperature at which the track is laid 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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