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Extension of Rod if Rod is Free to Extend Formula

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The Increase in Bar Length refers to the elongation of a bar resulting from a change in temperature. Check FAQs

ΔL Bar = l 0 \cdot α T \cdot ΔT rise

ΔL_Bar - Increase in Bar Length?l₀ - Initial Length?α_T - Coefficient of Thermal Expansion?ΔT_rise - Temperature Rise?

Extension of Rod if Rod is Free to Extend Example

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Here is how the Extension of Rod if Rod is Free to Extend equation looks like with Values.

Here is how the Extension of Rod if Rod is Free to Extend equation looks like with Units.

Here is how the Extension of Rod if Rod is Free to Extend equation looks like.

7.225 = 5000 \cdot 1.7E-5 \cdot 85

7.225mm = 5000mm \cdot 1.7E-5°C⁻¹ \cdot 85K

7.225 = 5000 \cdot 1.7E-5 \cdot 85

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Extension of Rod if Rod is Free to Extend Solution

Follow our step by step solution on how to calculate Extension of Rod if Rod is Free to Extend?

FIRST Step Consider the formula

ΔL Bar = l 0 \cdot α T \cdot ΔT rise

Next Step Substitute values of Variables

∴

ΔL Bar = 5000mm \cdot 1.7E-5°C⁻¹ \cdot 85K

Next Step Convert Units

∴

ΔL Bar = 5m \cdot 1.7E-51/K \cdot 85K

Next Step Prepare to Evaluate

∴

ΔL Bar = 5 \cdot 1.7E-5 \cdot 85

Next Step Evaluate

∴

ΔL Bar = 0.007225m

LAST Step Convert to Output's Unit

∴

ΔL Bar = 7.225mm

Extension of Rod if Rod is Free to Extend Formula Elements

Variables

Increase in Bar Length

The Increase in Bar Length refers to the elongation of a bar resulting from a change in temperature.

Symbol: ΔL_Bar

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Increase in Bar Length

Initial Length

Initial Length is the original, unaltered length of a bar or material before any changes, such as thermal expansion or contraction, occur.

Symbol: l₀

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Initial Length

Coefficient of Thermal Expansion

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

Symbol: α_T

Measurement: Temperature Coefficient of ResistanceUnit: °C⁻¹

Note: Value can be positive or negative.

Formulas to find Coefficient of Thermal Expansion

Temperature Rise

Temperature Rise is the increment in temperature of a unit mass when the heat is applied.

Symbol: ΔT_rise

Measurement: Temperature DifferenceUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature Rise

Other formulas in Thermal Stress category

Go Thermal Strain

ε = \frac{ΔL}{l 0}

Go Thermal Strain given Coefficient of Linear Expansion

ε c = α L \cdot ΔT rise

Go Thermal Strain given Thermal Stress

ε s = \frac{σ th}{E}

Go Thermal Stress given Coefficient of Linear Expansion

σ c = α L \cdot ΔT rise \cdot E

How to Evaluate Extension of Rod if Rod is Free to Extend?

Extension of Rod if Rod is Free to Extend evaluator uses Increase in Bar Length = Initial Length*Coefficient of Thermal Expansion*Temperature Rise to evaluate the Increase in Bar Length, The Extension of Rod if Rod is Free to Extend formula is defined as the measure of elongation or increase in length of a rod when it is subjected to an axial tensile force and is free to extend. Increase in Bar Length is denoted by ΔL_Bar symbol.

How to evaluate Extension of Rod if Rod is Free to Extend using this online evaluator? To use this online evaluator for Extension of Rod if Rod is Free to Extend, enter Initial Length (l₀), Coefficient of Thermal Expansion (α_T) & Temperature Rise (ΔT_rise) and hit the calculate button.

FAQs on Extension of Rod if Rod is Free to Extend

What is the formula to find Extension of Rod if Rod is Free to Extend?

The formula of Extension of Rod if Rod is Free to Extend is expressed as Increase in Bar Length = Initial Length*Coefficient of Thermal Expansion*Temperature Rise. Here is an example- 7225 = 5*1.7E-05*85.

How to calculate Extension of Rod if Rod is Free to Extend?

With Initial Length (l₀), Coefficient of Thermal Expansion (α_T) & Temperature Rise (ΔT_rise) we can find Extension of Rod if Rod is Free to Extend using the formula - Increase in Bar Length = Initial Length*Coefficient of Thermal Expansion*Temperature Rise.

Can the Extension of Rod if Rod is Free to Extend be negative?

Yes, the Extension of Rod if Rod is Free to Extend, measured in Length can be negative.

Which unit is used to measure Extension of Rod if Rod is Free to Extend?

Extension of Rod if Rod is Free to Extend is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Extension of Rod if Rod is Free to Extend can be measured.

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Extension of Rod if Rod is Free to Extend Formula

Extension of Rod if Rod is Free to Extend Example

Extension of Rod if Rod is Free to Extend Solution

Extension of Rod if Rod is Free to Extend Formula Elements

Other formulas in Thermal Stress category

How to Evaluate Extension of Rod if Rod is Free to Extend?

FAQs on Extension of Rod if Rod is Free to Extend

Variable Name