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Change in Temperature given Stress in Pipe Formula

GoChange in Temperature given Elongation in Pipes Formula

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The Change in Temperature refers to the difference between the initial and final temperature. Check FAQs

∆T = \frac{σ}{α thermal \cdot e}

∆T - Change in Temperature?σ - Stress?α_thermal - Coefficient of Thermal Expansion?e - Elastic Modulus?

Change in Temperature given Stress in Pipe Example

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With units

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Here is how the Change in Temperature given Stress in Pipe equation looks like with Values.

Here is how the Change in Temperature given Stress in Pipe equation looks like with Units.

Here is how the Change in Temperature given Stress in Pipe equation looks like.

16 = \frac{1200}{1.5 \cdot 50}

16K = \frac{1200Pa}{1.5°C⁻¹ \cdot 50Pa}

16 = \frac{1200}{1.5 \cdot 50}

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Change in Temperature given Stress in Pipe Solution

Follow our step by step solution on how to calculate Change in Temperature given Stress in Pipe?

FIRST Step Consider the formula

∆T = \frac{σ}{α thermal \cdot e}

Next Step Substitute values of Variables

∴

∆T = \frac{1200Pa}{1.5°C⁻¹ \cdot 50Pa}

Next Step Convert Units

∴

∆T = \frac{1200Pa}{1.51/K \cdot 50Pa}

Next Step Prepare to Evaluate

∴

∆T = \frac{1200}{1.5 \cdot 50}

LAST Step Evaluate

∴

∆T = 16K

Change in Temperature given Stress in Pipe Formula Elements

Variables

Change in Temperature

The Change in Temperature refers to 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

Stress

The Stress refers to the material is the force per unit area applied to the material. The maximum stress a material can stand before it breaks is called the breaking stress or ultimate tensile stress.

Symbol: σ

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Stress

Coefficient of Thermal Expansion

The Coefficient of Thermal Expansion refers to the material property that is indicative of the extent to which a material expands upon heating.

Symbol: α_thermal

Measurement: Temperature Coefficient of ResistanceUnit: °C⁻¹

Note: Value can be positive or negative.

Formulas to find Coefficient of Thermal Expansion

Elastic Modulus

The Elastic Modulus refers to the ratio of stress to strain.

Symbol: e

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Elastic Modulus

Other Formulas to find Change in Temperature

Go Change in Temperature given Elongation in Pipes

∆T = \frac{∆}{L 0 \cdot α}

Other formulas in Pressure Due to External Loads category

Go Load Per Unit Length for Pipes Resting on Undisturbed Ground on Cohesion Less Soil

W = C p \cdot γ \cdot {(D)}^{2}

Go Pipe Coefficient given Load Per Unit Length for Pipes

C p = (\frac{W}{γ \cdot {(D)}^{2}})

Go Specific Weight of Fill Material given Load Per Unit Length for Pipes

γ = \frac{W}{C p \cdot {(D)}^{2}}

Go External Diameter of Pipe given Load Per Unit Length for Pipes

D = \sqrt{\frac{W}{C p \cdot γ}}

How to Evaluate Change in Temperature given Stress in Pipe?

Change in Temperature given Stress in Pipe evaluator uses Change in Temperature = Stress/(Coefficient of Thermal Expansion*Elastic Modulus) to evaluate the Change in Temperature, The Change in Temperature given Stress in Pipe is defined as the change in temperature from initial stage to the final stage . Change in Temperature is denoted by ∆T symbol.

How to evaluate Change in Temperature given Stress in Pipe using this online evaluator? To use this online evaluator for Change in Temperature given Stress in Pipe, enter Stress (σ), Coefficient of Thermal Expansion (α_thermal) & Elastic Modulus (e) and hit the calculate button.

FAQs on Change in Temperature given Stress in Pipe

What is the formula to find Change in Temperature given Stress in Pipe?

The formula of Change in Temperature given Stress in Pipe is expressed as Change in Temperature = Stress/(Coefficient of Thermal Expansion*Elastic Modulus). Here is an example- 16 = 1200/(1.5*50).

How to calculate Change in Temperature given Stress in Pipe?

With Stress (σ), Coefficient of Thermal Expansion (α_thermal) & Elastic Modulus (e) we can find Change in Temperature given Stress in Pipe using the formula - Change in Temperature = Stress/(Coefficient of Thermal Expansion*Elastic Modulus).

What are the other ways to Calculate Change in Temperature?

Here are the different ways to Calculate Change in Temperature-

Change in Temperature=Elongation/(Original Length*Thermal Expansion Coefficient)

Can the Change in Temperature given Stress in Pipe be negative?

Yes, the Change in Temperature given Stress in Pipe, measured in Temperature Difference can be negative.

Which unit is used to measure Change in Temperature given Stress in Pipe?

Change in Temperature given Stress in Pipe is usually measured using the Kelvin[K] for Temperature Difference. Degree Celsius[K], Degree Centigrade[K], Degree Fahrenheit[K] are the few other units in which Change in Temperature given Stress in Pipe can be measured.

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