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Thermal Stress Formula

GoThermal Stress in Tapered Bar Formula

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The Thermal Stress is the strain or force within a material due to temperature variations, causing expansion or contraction, potentially leading to deformation or failure. Check FAQs

σ T = 𝛼 \cdot σ b \cdot ∆T

σ_T - Thermal Stress?𝛼 - Coefficient of Thermal Expansion?σ_b - Bending Stress?∆T - Change in Temperature?

Thermal Stress Example

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Here is how the Thermal Stress equation looks like with Values.

Here is how the Thermal Stress equation looks like with Units.

Here is how the Thermal Stress equation looks like.

22.3389 = 0.005 \cdot 6.4E-5 \cdot 69.3

22.3389Pa = 0.005 \cdot 6.4E-5MPa \cdot 69.3K

22.3389 = 0.005 \cdot 6.4E-5 \cdot 69.3

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Thermal Stress Solution

Follow our step by step solution on how to calculate Thermal Stress?

FIRST Step Consider the formula

σ T = 𝛼 \cdot σ b \cdot ∆T

Next Step Substitute values of Variables

∴

σ T = 0.005 \cdot 6.4E-5MPa \cdot 69.3K

Next Step Convert Units

∴

σ T = 0.005 \cdot 64.47Pa \cdot 69.3K

Next Step Prepare to Evaluate

∴

σ T = 0.005 \cdot 64.47 \cdot 69.3

Next Step Evaluate

∴

σ T = 22.338855Pa

LAST Step Rounding Answer

∴

σ T = 22.3389Pa

Thermal Stress Formula Elements

Variables

Thermal Stress

The Thermal Stress is the strain or force within a material due to temperature variations, causing expansion or contraction, potentially leading to deformation or failure.

Symbol: σ_T

Measurement: StressUnit: Pa

Note: Value can be positive or negative.

Formulas to find Thermal Stress

Coefficient of Thermal Expansion

The Coefficient of Thermal Expansion describes how the size of an object changes with a change in temperature.

Symbol: 𝛼

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Thermal Expansion

Bending Stress

The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.

Symbol: σ_b

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Bending Stress

Change in Temperature

The Change in Temperature is the difference between the initial and final temperature.

Symbol: ∆T

Measurement: Temperature DifferenceUnit: K

Note: Value can be positive or negative.

Formulas to find Change in Temperature

Other Formulas to find Thermal Stress

Go Thermal Stress in Tapered Bar

σ T = \frac{4 \cdot W load \cdot L}{π \cdot D 1 \cdot D 2 \cdot σ b}

Other formulas in Stress category

Go Beam Shear Stress

𝜏 = \frac{ΣS \cdot Ay}{I \cdot t}

Go Bending Stress

σ b = M b \cdot \frac{y}{I}

Go Bulk Stress

B stress = \frac{N.F}{A cs}

Go Direct Stress

σ = \frac{P axial}{A cs}

How to Evaluate Thermal Stress?

Thermal Stress evaluator uses Thermal Stress = Coefficient of Thermal Expansion*Bending Stress*Change in Temperature to evaluate the Thermal Stress, The Thermal Stress formula is defined as the stress caused due the change in temperature which is calculated as the product of coefficient of thermal expansion, elastic modulus and change in temperature. Thermal Stress is denoted by σ_T symbol.

How to evaluate Thermal Stress using this online evaluator? To use this online evaluator for Thermal Stress, enter Coefficient of Thermal Expansion (𝛼), Bending Stress (σ_b) & Change in Temperature (∆T) and hit the calculate button.

FAQs on Thermal Stress

What is the formula to find Thermal Stress?

The formula of Thermal Stress is expressed as Thermal Stress = Coefficient of Thermal Expansion*Bending Stress*Change in Temperature. Here is an example- 22.40816 = 0.005*64.47*69.3.

How to calculate Thermal Stress?

With Coefficient of Thermal Expansion (𝛼), Bending Stress (σ_b) & Change in Temperature (∆T) we can find Thermal Stress using the formula - Thermal Stress = Coefficient of Thermal Expansion*Bending Stress*Change in Temperature.

What are the other ways to Calculate Thermal Stress?

Here are the different ways to Calculate Thermal Stress-

Thermal Stress=(4*Weight of Load*Length of Weld)/(pi*Diameter of Bigger End*Diameter of Smaller End*Bending Stress)

Can the Thermal Stress be negative?

Yes, the Thermal Stress, measured in Stress can be negative.

Which unit is used to measure Thermal Stress?

Thermal Stress is usually measured using the Pascal[Pa] for Stress. Newton per Square Meter[Pa], Newton per Square Millimeter[Pa], Kilonewton per Square Meter[Pa] are the few other units in which Thermal Stress can be measured.

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