Thermal Strain given Thermal Stress Calculator

✖Thermal stress is mechanical stress created by any change in the temperature of a material. These lead to fracturing or plastic deformation depending on the other variables of heating.ⓘ Thermal Stress [σ_th]			+10% -10%
✖Young's Modulus Bar is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus Bar [E]			+10% -10%

✖The Thermal Strain caused due to thermal stress.ⓘ Thermal Strain given Thermal Stress [ε]

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Formula

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Thermal Strain given Thermal Stress

Formula

`"ε" = "σ"_{"th"}/"E"`

Example

`"0.434783"="0.01MPa"/"0.023MPa"`

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Thermal Strain given Thermal Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thermal Strain = Thermal Stress/Young's Modulus Bar
ε = σ_th/E
This formula uses 3 Variables

Variables Used

Thermal Strain - The Thermal Strain caused due to thermal stress.
Thermal Stress - (Measured in Pascal) - Thermal stress is mechanical stress created by any change in the temperature of a material. These lead to fracturing or plastic deformation depending on the other variables of heating.
Young's Modulus Bar - (Measured in Pascal) - Young's Modulus Bar is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

STEP 1: Convert Input(s) to Base Unit

Thermal Stress: 0.01 Megapascal --> 10000 Pascal (Check conversion here)
Young's Modulus Bar: 0.023 Megapascal --> 23000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε = σ_th/E --> 10000/23000

Evaluating ... ...

ε = 0.434782608695652

STEP 3: Convert Result to Output's Unit

0.434782608695652 --> No Conversion Required

FINAL ANSWER

0.434782608695652 ≈ 0.434783 <-- Thermal Strain

(Calculation completed in 00.020 seconds)

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has created this Calculator and 600+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 11 Thermal Stress Calculators

Actual Stress when Support Yields

Go Actual Stress = ((Coefficient of Linear Expansion*Change in Temperature*Length of Bar-Yield Amount (Length))*Modulus of Elasticity of Bar)/Length of Bar

Actual Strain when Support Yields

Go Actual Strain = (Coefficient of Linear Expansion*Change in Temperature*Length of Bar-Yield Amount (Length))/Length of Bar

Actual Expansion when Support Yields

Go Actual Expansion = Coefficient of Linear Expansion*Length of Bar*Change in Temperature-Yield Amount (Length)

Extension of Rod if Rod is Free to Extend

Go Increase in Bar Length = Initial Length*Coefficient of Thermal Expansion*Temperature Rise

Thermal Stress given Coefficient of Linear Expansion

Go Thermal Stress = Coefficient of Thermal Expansion*Temperature Rise*Young's Modulus Bar

Thermal Strain given Coefficient of Linear Expansion

Go Thermal Strain = Coefficient of Thermal Expansion*Temperature Rise

Actual Stress given Support Yields for Value of Actual Strain

Go Actual Stress = Actual Strain*Modulus of Elasticity of Bar

Thermal Strain given Thermal Stress

Go Thermal Strain = Thermal Stress/Young's Modulus Bar

Thermal Stress given Thermal Strain

Go Thermal Stress = Thermal Strain*Young's Modulus Bar

Thermal Strain

Go Thermal Strain = Prevented Extension/Initial Length

Actual Strain given Support Yields for Value of Actual Expansion

Go Actual Strain = Actual Expansion/Length of Bar

< 5 Thermal Stress and Strain Calculators

Thermal Stress given Coefficient of Linear Expansion

Go Thermal Stress = Coefficient of Thermal Expansion*Temperature Rise*Young's Modulus Bar

Thermal Strain given Coefficient of Linear Expansion

Go Thermal Strain = Coefficient of Thermal Expansion*Temperature Rise

Thermal Strain given Thermal Stress

Go Thermal Strain = Thermal Stress/Young's Modulus Bar

Thermal Stress given Thermal Strain

Go Thermal Stress = Thermal Strain*Young's Modulus Bar

Thermal Strain

Go Thermal Strain = Prevented Extension/Initial Length

Thermal Strain given Thermal Stress Formula

Thermal Strain = Thermal Stress/Young's Modulus Bar
ε = σ_th/E

What is Thermal Strain?

Strain induced in a body due to a change in temperature is called thermal strain. It is a unitless quantity. It can also be expressed as a product of the coefficient of thermal expansion and change in temperature.

What is Thermal Stress?

When a body is heated, it tends to expand. If such an expansion is restricted or constrained, stress is induced in the body. Such stress is called thermal stress.

How to Calculate Thermal Strain given Thermal Stress?

Thermal Strain given Thermal Stress calculator uses Thermal Strain = Thermal Stress/Young's Modulus Bar to calculate the Thermal Strain, The Thermal Strain given Thermal Stress can be calculated by dividing the thermal stress value by young's modulus. Thermal Strain is denoted by ε symbol.

How to calculate Thermal Strain given Thermal Stress using this online calculator? To use this online calculator for Thermal Strain given Thermal Stress, enter Thermal Stress (σ_th) & Young's Modulus Bar (E) and hit the calculate button. Here is how the Thermal Strain given Thermal Stress calculation can be explained with given input values -> 0.434783 = 10000/23000.

FAQ

What is Thermal Strain given Thermal Stress?

The Thermal Strain given Thermal Stress can be calculated by dividing the thermal stress value by young's modulus and is represented as ε = σ_th/E or Thermal Strain = Thermal Stress/Young's Modulus Bar. Thermal stress is mechanical stress created by any change in the temperature of a material. These lead to fracturing or plastic deformation depending on the other variables of heating & Young's Modulus Bar is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

How to calculate Thermal Strain given Thermal Stress?

The Thermal Strain given Thermal Stress can be calculated by dividing the thermal stress value by young's modulus is calculated using Thermal Strain = Thermal Stress/Young's Modulus Bar. To calculate Thermal Strain given Thermal Stress, you need Thermal Stress (σ_th) & Young's Modulus Bar (E). With our tool, you need to enter the respective value for Thermal Stress & Young's Modulus Bar and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Thermal Strain?

In this formula, Thermal Strain uses Thermal Stress & Young's Modulus Bar. We can use 4 other way(s) to calculate the same, which is/are as follows -

Thermal Strain = Prevented Extension/Initial Length
Thermal Strain = Coefficient of Thermal Expansion*Temperature Rise
Thermal Strain = Prevented Extension/Initial Length
Thermal Strain = Coefficient of Thermal Expansion*Temperature Rise

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