Thermal Stress of Material Calculator

✖The Coefficient of Linear Thermal Expansion is a material property that characterizes the ability of a plastic to expand under the effect of temperature elevation.ⓘ Coefficient of Linear Thermal Expansion [α]			+10% -10%
✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus [E]			+10% -10%
✖Temperature Change is a process whereby the degree of hotness of a body (or medium) changes.ⓘ Temperature Change [ΔT]			+10% -10%
✖Initial Length or Actual Length of a curve which undergoing iteration or some elastic extension, is the length of the curve before all those changes.ⓘ Initial Length [l₀]			+10% -10%

✖Thermal Stress is the stress produced by any change in the temperature of the material.ⓘ Thermal Stress of Material [σ]

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Formula

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Thermal Stress of Material

Formula

`"σ" = ("α"*"E"*"ΔT")/("l"_{"0"})`

Example

`"4.5E^-8MPa"=("0.001°C⁻¹"*"15N/m"*"21K")/("7m")`

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Thermal Stress of Material Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thermal Stress = (Coefficient of Linear Thermal Expansion*Young's Modulus*Temperature Change)/(Initial Length)
σ = (α*E*ΔT)/(l₀)
This formula uses 5 Variables

Variables Used

Thermal Stress - (Measured in Pascal) - Thermal Stress is the stress produced by any change in the temperature of the material.
Coefficient of Linear Thermal Expansion - (Measured in Per Kelvin) - The Coefficient of Linear Thermal Expansion is a material property that characterizes the ability of a plastic to expand under the effect of temperature elevation.
Young's Modulus - (Measured in Newton per Meter) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Temperature Change - (Measured in Kelvin) - Temperature Change is a process whereby the degree of hotness of a body (or medium) changes.
Initial Length - (Measured in Meter) - Initial Length or Actual Length of a curve which undergoing iteration or some elastic extension, is the length of the curve before all those changes.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Linear Thermal Expansion: 0.001 Per Degree Celsius --> 0.001 Per Kelvin (Check conversion here)
Young's Modulus: 15 Newton per Meter --> 15 Newton per Meter No Conversion Required
Temperature Change: 21 Kelvin --> 21 Kelvin No Conversion Required
Initial Length: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ = (α*E*ΔT)/(l₀) --> (0.001*15*21)/(7)

Evaluating ... ...

σ = 0.045

STEP 3: Convert Result to Output's Unit

0.045 Pascal -->4.5E-08 Megapascal (Check conversion here)

FINAL ANSWER

4.5E-08 ≈ 4.5E-8 Megapascal <-- Thermal Stress

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Indian Institute of Technology (IIT), Kanpur

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< 17 Thermal Parameters Calculators

Specific Heat of Gas Mixture

Go Specific Heat of Gas Mixture = (Number of Moles of Gas 1*Specific Heat Capacity of Gas 1 at Constant Volume+Number of Moles of Gas 2*Specific Heat Capacity of Gas 2 at Constant Volume)/(Number of Moles of Gas 1+Number of Moles of Gas 2)

Heat Transfer at Constant Pressure

Go Heat Transfer = Mass of Gas*Molar Specific Heat Capacity at Constant Pressure*(Final Temperature-Initial Temperature)

Thermal Stress of Material

Go Thermal Stress = (Coefficient of Linear Thermal Expansion*Young's Modulus*Temperature Change)/(Initial Length)

Change in Potential Energy

Go Change in Potential Energy = Mass*[g]*(Height of Object at Point 2-Height of Object at Point 1)

Saturated Mixture Specific Enthalpy

Go Saturated Mixture Specific Enthalpy = Fluid Specific Enthalpy+Vapour Quality*Latent Heat of Vaporization

Specific Heat at Constant Volume

Go Molar Specific Heat Capacity at Constant Volume = Heat Change/(Number of Moles*Temperature Change)

Thermal Expansion

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

Change in Kinetic Energy

Go Change in Kinetic Energy = 1/2*Mass*(Final Velocity at Point 2^2-Final Velocity at Point 1^2)

Ratio of Specific Heat

Go Specific Heat Ratio = Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume

Specific Heat Capacity at Constant Pressure

Go Molar Specific Heat Capacity at Constant Pressure = [R]+Molar Specific Heat Capacity at Constant Volume

Total Energy of System

Go Total Energy of System = Potential Energy+Kinetic Energy+Internal Energy

Sensible Heat Factor

Go Sensible Heat Factor = Sensible Heat/(Sensible Heat+Latent Heat)

Specific Heat Ratio

Go Specific Heat Ratio Dynamic = Heat Capacity Constant Pressure/Heat Capacity Constant Volume

Specific Heat

Go Specific Heat = Heat*Mass*Temperature Change

Stefan Boltzmann Law

Go Black-Body Radiant Emittance = [Stefan-BoltZ]*Temperature^(4)

Thermal Capacity

Go Thermal Capacity = Mass*Specific Heat

Latent Heat

Go Latent Heat = Heat/Mass

Thermal Stress of Material Formula

Thermal Stress = (Coefficient of Linear Thermal Expansion*Young's Modulus*Temperature Change)/(Initial Length)
σ = (α*E*ΔT)/(l₀)

Define Thermal stress?

In mechanics and thermodynamics, 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 Thermal Stress of Material?

Thermal Stress of Material calculator uses Thermal Stress = (Coefficient of Linear Thermal Expansion*Young's Modulus*Temperature Change)/(Initial Length) to calculate the Thermal Stress, The Thermal stress of material 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. Thermal Stress is denoted by σ symbol.

How to calculate Thermal Stress of Material using this online calculator? To use this online calculator for Thermal Stress of Material, enter Coefficient of Linear Thermal Expansion (α), Young's Modulus (E), Temperature Change (ΔT) & Initial Length (l₀) and hit the calculate button. Here is how the Thermal Stress of Material calculation can be explained with given input values -> 4.5E-14 = (0.001*15*21)/(7).

FAQ

What is Thermal Stress of Material?

The Thermal stress of material 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 and is represented as σ = (α*E*ΔT)/(l₀) or Thermal Stress = (Coefficient of Linear Thermal Expansion*Young's Modulus*Temperature Change)/(Initial Length). The Coefficient of Linear Thermal Expansion is a material property that characterizes the ability of a plastic to expand under the effect of temperature elevation, Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain, Temperature Change is a process whereby the degree of hotness of a body (or medium) changes & Initial Length or Actual Length of a curve which undergoing iteration or some elastic extension, is the length of the curve before all those changes.

How to calculate Thermal Stress of Material?

The Thermal stress of material 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 is calculated using Thermal Stress = (Coefficient of Linear Thermal Expansion*Young's Modulus*Temperature Change)/(Initial Length). To calculate Thermal Stress of Material, you need Coefficient of Linear Thermal Expansion (α), Young's Modulus (E), Temperature Change (ΔT) & Initial Length (l₀). With our tool, you need to enter the respective value for Coefficient of Linear Thermal Expansion, Young's Modulus, Temperature Change & Initial Length 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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