Coefficient of Expansion of Material given Stress in Pipe Calculator

✖The Stress applied to a material is the force per unit area applied to the material. The maximum stress a material can stand before it breaks is called the breaking stress or ultimate tensile stress.ⓘ Stress [σ]			+10% -10%
✖The Change in Temperature is the difference between the initial and final temperature.ⓘ Change in Temperature [∆T]			+10% -10%
✖The Elastic Modulus is the ratio of Stress to Strain.ⓘ Elastic Modulus [e]			+10% -10%

✖The Coefficient of Thermal Expansion is a material property that is indicative of the extent to which a material expands upon heating.ⓘ Coefficient of Expansion of Material given Stress in Pipe [α_thermal]

⎘ Copy

👎

Formula

✖

Coefficient of Expansion of Material given Stress in Pipe

Formula

`"α"_{"thermal"} = "σ"/("∆T"*"e")`

Example

`"0.48°C⁻¹"="1200Pa"/("50K"*"50Pa")`

Calculator

LaTeX

Reset

👍

Download Environmental Engineering Formula PDF

Coefficient of Expansion of Material given Stress in Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Thermal Expansion = Stress/(Change in Temperature*Elastic Modulus)
α_thermal = σ/(∆T*e)
This formula uses 4 Variables

Variables Used

Coefficient of Thermal Expansion - (Measured in Per Kelvin) - The Coefficient of Thermal Expansion is a material property that is indicative of the extent to which a material expands upon heating.
Stress - (Measured in Pascal) - The Stress applied to a material is the force per unit area applied to the material. The maximum stress a material can stand before it breaks is called the breaking stress or ultimate tensile stress.
Change in Temperature - (Measured in Kelvin) - The Change in Temperature is the difference between the initial and final temperature.
Elastic Modulus - (Measured in Pascal) - The Elastic Modulus is the ratio of Stress to Strain.

STEP 1: Convert Input(s) to Base Unit

Stress: 1200 Pascal --> 1200 Pascal No Conversion Required
Change in Temperature: 50 Kelvin --> 50 Kelvin No Conversion Required
Elastic Modulus: 50 Pascal --> 50 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α_thermal = σ/(∆T*e) --> 1200/(50*50)

Evaluating ... ...

α_thermal = 0.48

STEP 3: Convert Result to Output's Unit

0.48 Per Kelvin -->0.48 Per Degree Celsius (Check conversion here)

FINAL ANSWER

0.48 Per Degree Celsius <-- Coefficient of Thermal Expansion

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Environmental Engineering » Sewers their Construction , Maintenance and Required Appurtenances » Pressure Due to External Loads » Coefficient of Expansion of Material given Stress in Pipe

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 16 Pressure Due to External Loads Calculators

Distance of Top of Pipe to below Surface of Fill given Unit Pressure

Go Distance between pipe and fill = ((Unit Pressure*2*pi*(Slant Height)^5)/(3*Superimposed load))^(1/3)

Slant Height of considered Point given Unit Pressure

Go Slant Height = ((3*Superimposed load*(Distance between pipe and fill)^3)/(2*pi*Unit Pressure))^(1/5)

Unit Pressure Developed at any Point in Fill at Depth

Go Unit Pressure = (3*(Distance between pipe and fill)^3*Superimposed load)/(2*pi*(Slant Height)^5)

Superimposed Load given Unit Pressure

Go Superimposed load = (2*pi*Unit Pressure*(Slant Height)^5)/(3*(Distance between pipe and fill)^3)

External Diameter of Pipe given Load Per Unit Length for Pipes

Go External diameter = sqrt(Load per unit Length/(Pipe coefficient*Specific Weight of Fill))

Pipe Coefficient given Load Per Unit Length for Pipes

Go Pipe coefficient = (Load per unit Length/(Specific Weight of Fill*(External diameter)^2))

Specific Weight of Fill Material given Load Per Unit Length for Pipes

Go Specific Weight of Fill = Load per unit Length/(Pipe coefficient*(External diameter)^2)

Load Per Unit Length for Pipes Resting on Undisturbed Ground on Cohesion Less Soil

Go Load per unit Length = Pipe coefficient*Specific Weight of Fill*(External diameter)^2

Coefficient of Thermal Expansion given Elongation in Pipes

Go Thermal Expansion Coefficient = Elongation/(Initial Length*Change in Temperature)

Coefficient of Expansion of Material given Stress in Pipe

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

Change in Temperature given Elongation in Pipes

Go Change in Temperature = Elongation/(Initial Length*Thermal Expansion Coefficient)

Change in Temperature given Stress in Pipe

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

Load Per Unit Length for Pipes given Compressive Stress

Go Load per unit Length = (Compressive Stress*Thickness)-Total Load per Unit Length

Compressive Stress Produced when Pipe is Empty

Go Compressive Stress = (Load per unit Length+Total Load per Unit Length)/Thickness

Thickness of Pipes given Compressive Stress

Go Thickness = (Total Load per Unit Length+Load per unit Length)/Compressive Stress

Elongation in Pipes given Change in Temperature

Go Elongation = Initial Length*Thermal Expansion Coefficient*Change in Temperature

Coefficient of Expansion of Material given Stress in Pipe Formula

Coefficient of Thermal Expansion = Stress/(Change in Temperature*Elastic Modulus)
α_thermal = σ/(∆T*e)

What is coefficient of expansion ?

Thermal expansion is the tendency of matter to change its shape, area, volume, and density in response to a change in temperature, usually not including phase transitions. Temperature is a monotonic function of the average molecular kinetic energy of a substance.

How to Calculate Coefficient of Expansion of Material given Stress in Pipe?

Coefficient of Expansion of Material given Stress in Pipe calculator uses Coefficient of Thermal Expansion = Stress/(Change in Temperature*Elastic Modulus) to calculate the Coefficient of Thermal Expansion, The Coefficient of Expansion of Material given Stress in Pipe is defined as the tendency of matter to change its shape, area, volume, and density in response to a change in temperature. Coefficient of Thermal Expansion is denoted by α_thermal symbol.

How to calculate Coefficient of Expansion of Material given Stress in Pipe using this online calculator? To use this online calculator for Coefficient of Expansion of Material given Stress in Pipe, enter Stress (σ), Change in Temperature (∆T) & Elastic Modulus (e) and hit the calculate button. Here is how the Coefficient of Expansion of Material given Stress in Pipe calculation can be explained with given input values -> 0.48 = 1200/(50*50).

FAQ

What is Coefficient of Expansion of Material given Stress in Pipe?

The Coefficient of Expansion of Material given Stress in Pipe is defined as the tendency of matter to change its shape, area, volume, and density in response to a change in temperature and is represented as α_thermal = σ/(∆T*e) or Coefficient of Thermal Expansion = Stress/(Change in Temperature*Elastic Modulus). The Stress applied to a material is the force per unit area applied to the material. The maximum stress a material can stand before it breaks is called the breaking stress or ultimate tensile stress, The Change in Temperature is the difference between the initial and final temperature & The Elastic Modulus is the ratio of Stress to Strain.

How to calculate Coefficient of Expansion of Material given Stress in Pipe?

The Coefficient of Expansion of Material given Stress in Pipe is defined as the tendency of matter to change its shape, area, volume, and density in response to a change in temperature is calculated using Coefficient of Thermal Expansion = Stress/(Change in Temperature*Elastic Modulus). To calculate Coefficient of Expansion of Material given Stress in Pipe, you need Stress (σ), Change in Temperature (∆T) & Elastic Modulus (e). With our tool, you need to enter the respective value for Stress, Change in Temperature & Elastic Modulus and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search