Length of Expansion Joint given Movement that should be allowed Calculator

✖Change in Length is after the application of force, change in the dimensions of the object.ⓘ Change in Length [ΔL]			+10% -10%
✖The Elastic Modulus is the ratio of Stress to Strain.ⓘ Elastic Modulus [e]			+10% -10%
✖The Change in Temperature is the difference between the initial and final temperature.ⓘ Change in Temperature [∆T]			+10% -10%

✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Expansion Joint given Movement that should be allowed [L_pipe]

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Formula

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Length of Expansion Joint given Movement that should be allowed

Formula

`"L"_{"pipe"} = "ΔL"/("e"*"∆T")`

Example

`"0.1m"="125000mm"/("25Pa"*"50K")`

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Length of Expansion Joint given Movement that should be allowed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Pipe = Change in Length/(Elastic Modulus*Change in Temperature)
L_pipe = ΔL/(e*∆T)
This formula uses 4 Variables

Variables Used

Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Change in Length - (Measured in Meter) - Change in Length is after the application of force, change in the dimensions of the object.
Elastic Modulus - (Measured in Pascal) - The Elastic Modulus is the ratio of Stress to Strain.
Change in Temperature - (Measured in Kelvin) - The Change in Temperature is the difference between the initial and final temperature.

STEP 1: Convert Input(s) to Base Unit

Change in Length: 125000 Millimeter --> 125 Meter (Check conversion here)
Elastic Modulus: 25 Pascal --> 25 Pascal No Conversion Required
Change in Temperature: 50 Kelvin --> 50 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_pipe = ΔL/(e*∆T) --> 125/(25*50)

Evaluating ... ...

L_pipe = 0.1

STEP 3: Convert Result to Output's Unit

0.1 Meter --> No Conversion Required

FINAL ANSWER

0.1 Meter <-- Length of Pipe

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 7 Thermal Expansion of Pipe Calculators

Coefficient of Thermal Expansion of Pipe Material given Stress due to Temperature Change

Go Coefficient of Thermal Expansion = Stress due to Temperature Change/(Elastic Modulus*Change in Temperature)

Modulus of Elasticity of Pipe Material given Stress due to Temperature Change

Go Elastic Modulus = Stress due to Temperature Change/(Coefficient of Thermal Expansion*Change in Temperature)

Temperature Change given Stress due to Temperature Change

Go Change in Temperature = Stress due to Temperature Change/(Coefficient of Thermal Expansion*Elastic Modulus)

Stress due to Temperature Change

Go Stress due to Temperature Change = Coefficient of Thermal Expansion*Elastic Modulus*Change in Temperature

Length of Expansion Joint given Movement that should be allowed

Go Length of Pipe = Change in Length/(Elastic Modulus*Change in Temperature)

Temperature Change given Movement that should be allowed

Go Change in Temperature = Change in Length/(Elastic Modulus*Length of Pipe)

Movement in Length of Pipe

Go Change in Length = Length of Pipe*Elastic Modulus*Change in Temperature

Length of Expansion Joint given Movement that should be allowed Formula

Length of Pipe = Change in Length/(Elastic Modulus*Change in Temperature)
L_pipe = ΔL/(e*∆T)

What is Expansion Joint in Piping?

Expansion joints are used in piping systems to absorb thermal expansion or terminal movement where the use of expansion loops is undesirable or impractical. Expansion joints are available in many different shapes and materials.

What is Thermal Stress?

Thermal stress is mechanical stress created by any change in temperature of a material. These stresses can lead to fracturing or plastic deformation depending on the other variables of heating, which include material types and constraints.

How to Calculate Length of Expansion Joint given Movement that should be allowed?

Length of Expansion Joint given Movement that should be allowed calculator uses Length of Pipe = Change in Length/(Elastic Modulus*Change in Temperature) to calculate the Length of Pipe, Length of Expansion Joint given Movement that should be allowed is defined as the amount of movement it needs to accommodate within a pipe. Length of Pipe is denoted by L_pipe symbol.

How to calculate Length of Expansion Joint given Movement that should be allowed using this online calculator? To use this online calculator for Length of Expansion Joint given Movement that should be allowed, enter Change in Length (ΔL), Elastic Modulus (e) & Change in Temperature (∆T) and hit the calculate button. Here is how the Length of Expansion Joint given Movement that should be allowed calculation can be explained with given input values -> 0.1 = 125/(25*50).

FAQ

What is Length of Expansion Joint given Movement that should be allowed?

Length of Expansion Joint given Movement that should be allowed is defined as the amount of movement it needs to accommodate within a pipe and is represented as L_pipe = ΔL/(e*∆T) or Length of Pipe = Change in Length/(Elastic Modulus*Change in Temperature). Change in Length is after the application of force, change in the dimensions of the object, The Elastic Modulus is the ratio of Stress to Strain & The Change in Temperature is the difference between the initial and final temperature.

How to calculate Length of Expansion Joint given Movement that should be allowed?

Length of Expansion Joint given Movement that should be allowed is defined as the amount of movement it needs to accommodate within a pipe is calculated using Length of Pipe = Change in Length/(Elastic Modulus*Change in Temperature). To calculate Length of Expansion Joint given Movement that should be allowed, you need Change in Length (ΔL), Elastic Modulus (e) & Change in Temperature (∆T). With our tool, you need to enter the respective value for Change in Length, Elastic Modulus & Change in Temperature 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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