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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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: 0.119 Meter --> 0.119 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ = (α*E*ΔT)/(l₀) --> (0.001*15*21)/(0.119)

Evaluating ... ...

σ = 2.64705882352941

STEP 3: Convert Result to Output's Unit

2.64705882352941 Pascal -->2.64705882352941E-06 Megapascal (Check conversion here)

FINAL ANSWER

2.64705882352941E-06 ≈ 2.6E-6 Megapascal <-- Thermal Stress

(Calculation completed in 00.020 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Verified by Suman Ray Pramanik

Indian Institute of Technology (IIT), Kanpur

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Thermal Stress of Material Formula

LaTeX Go

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 -> 2.6E-12 = (0.001*15*21)/(0.119).

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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