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 measure of the stiffness of a material. It quantifies the relationship between stress and strain in a material under tension or compression.ⓘ Young's Modulus Bar [E]			+10% -10%

✖Thermal Strain given Thermal Stress is the deformation or strain that a material undergoes when subjected to a change in temperature, considering thermal stress.ⓘ Thermal Strain given Thermal Stress [ε_s]

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Formula

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Thermal Strain given Thermal Stress

Formula

ε s = \frac{σ th}{E}

Example

0.434783 = \frac{0.01 MPa}{0.023 MPa}

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Thermal Strain given Thermal Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Thermal Strain given Thermal Stress - Thermal Strain given Thermal Stress is the deformation or strain that a material undergoes when subjected to a change in temperature, considering 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 measure of the stiffness of a material. It quantifies the relationship between stress and strain in a material under tension or compression.

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_s = σ_th/E --> 10000/23000

Evaluating ... ...

ε_s = 0.434782608695652

STEP 3: Convert Result to Output's Unit

0.434782608695652 --> No Conversion Required

FINAL ANSWER

0.434782608695652 ≈ 0.434783 <-- Thermal Strain given Thermal Stress

(Calculation completed in 00.004 seconds)

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Thermal Stress Calculators

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)

Actual Stress given Support Yields for Value of Actual Strain

Go Actual Stress with Support Yield = Actual Strain*Modulus of Elasticity of Bar

Actual Strain given Support Yields for Value of Actual Expansion

Go Actual Strain = Actual Expansion/Length of Bar

< Thermal Stress and Strain Calculators

Thermal Stress given Coefficient of Linear Expansion

Go Thermal Stress given Coef. of Linear Expansion = Coefficient of Linear Expansion*Temperature Rise*Young's Modulus Bar

Thermal Strain given Coefficient of Linear Expansion

Go Thermal Strain given Coef. of Linear Expansion = Coefficient of Linear Expansion*Temperature Rise

Thermal Strain given Thermal Stress

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

Thermal Strain

Go Thermal Strain = Prevented Extension/Initial Length

Thermal Strain given Thermal Stress Formula

Thermal Strain given Thermal Stress = Thermal Stress/Young's Modulus Bar
ε_s = 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 given Thermal Stress = Thermal Stress/Young's Modulus Bar to calculate the Thermal Strain given Thermal Stress, The Thermal Strain given Thermal Stress formula is defined as the measure of the deformation or strain that a material undergoes when subjected to a change in temperature, considering thermal stress. Thermal Strain given Thermal Stress is denoted by ε_s 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 formula is defined as the measure of the deformation or strain that a material undergoes when subjected to a change in temperature, considering thermal stress and is represented as ε_s = σ_th/E or Thermal Strain given Thermal Stress = 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 measure of the stiffness of a material. It quantifies the relationship between stress and strain in a material under tension or compression.

How to calculate Thermal Strain given Thermal Stress?

The Thermal Strain given Thermal Stress formula is defined as the measure of the deformation or strain that a material undergoes when subjected to a change in temperature, considering thermal stress is calculated using Thermal Strain given Thermal Stress = 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.

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