Free Expansion of Copper Calculator

✖The Coefficient of Thermal Expansion is a material property that is indicative of the extent to which a material expands upon heating.ⓘ Coefficient of Thermal Expansion [α_T]			+10% -10%
✖Temperature Rise is the increment in temperature of a unit mass when the heat is applied.ⓘ Temperature Rise [ΔT_rise]			+10% -10%
✖Length Of Bar is defined as the total length of the Bar.ⓘ Length of Bar [L_bar]			+10% -10%

✖Free Expansion of Copper is defined as the expansion of copper under thermal load when there is no constrained wall/end is present.ⓘ Free Expansion of Copper [ΔL_cu]

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Formula

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Free Expansion of Copper

Formula

`"ΔL"_{"cu"} = "α"_{"T"}*"ΔT"_{"rise"}*"L"_{"bar"}`

Example

`"2.89mm"="17E^-6°C⁻¹"*"85K"*"2000mm"`

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Free Expansion of Copper Solution

STEP 0: Pre-Calculation Summary

Formula Used

Free Expansion of Copper = Coefficient of Thermal Expansion*Temperature Rise*Length of Bar
ΔL_cu = α_T*ΔT_rise*L_bar
This formula uses 4 Variables

Variables Used

Free Expansion of Copper - (Measured in Meter) - Free Expansion of Copper is defined as the expansion of copper under thermal load when there is no constrained wall/end is present.
Coefficient of Thermal Expansion - (Measured in Per Kelvin) - The Coefficient of Thermal Expansion is a material property that is indicative of the extent to which a material expands upon heating.
Temperature Rise - (Measured in Kelvin) - Temperature Rise is the increment in temperature of a unit mass when the heat is applied.
Length of Bar - (Measured in Meter) - Length Of Bar is defined as the total length of the Bar.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Thermal Expansion: 1.7E-05 Per Degree Celsius --> 1.7E-05 Per Kelvin (Check conversion here)
Temperature Rise: 85 Kelvin --> 85 Kelvin No Conversion Required
Length of Bar: 2000 Millimeter --> 2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔL_cu = α_T*ΔT_rise*L_bar --> 1.7E-05*85*2

Evaluating ... ...

ΔL_cu = 0.00289

STEP 3: Convert Result to Output's Unit

0.00289 Meter -->2.89 Millimeter (Check conversion here)

FINAL ANSWER

2.89 Millimeter <-- Free Expansion of Copper

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Stress and Strain » Thermal Stress » Thermal Stress in Composite Bars » Free Expansion of Copper

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< 7 Thermal Stress in Composite Bars Calculators

Actual Expansion of Copper

Go Actual Expansion of Copper = Coefficient of Thermal Expansion*Temperature Rise*Length of Bar-Compressive Stress on Bar/Young's Modulus Bar*Length of Bar

Actual Expansion of Steel

Go Actual Expansion of Steel = Coefficient of Thermal Expansion*Temperature Rise*Length of Bar+Tensile Stress/Young's Modulus Bar*Length of Bar

Contraction due to Compressive Stress Induced in Brass

Go Contraction due to Compressive Stress in Brass = Compressive Stress on Bar/Young's Modulus Bar*Length of Bar

Free Expansion of Copper

Go Free Expansion of Copper = Coefficient of Thermal Expansion*Temperature Rise*Length of Bar

Expansion due to tensile stress in steel

Go Expansion of Steel under Tensile Stress = Stress in Bar/Young's Modulus Bar*Length of Bar

Free Expansion of Steel

Go Free Expansion of Steel = Coefficient of Thermal Expansion*Temperature Rise*Length of Bar

Load on Brass or Steel

Go Load = Stress in Bar*Cross Sectional Area of Bar

Free Expansion of Copper Formula

Free Expansion of Copper = Coefficient of Thermal Expansion*Temperature Rise*Length of Bar
ΔL_cu = α_T*ΔT_rise*L_bar

What is free expansion?

When an unconstrained material is subjected to temperature, it expands freely in all directions, this expansion in length is called free expansion.

How to Calculate Free Expansion of Copper?

Free Expansion of Copper calculator uses Free Expansion of Copper = Coefficient of Thermal Expansion*Temperature Rise*Length of Bar to calculate the Free Expansion of Copper, The free expansion of copper formula is defined as the product of coefficient of thermal expansion of copper, temperature and length. Free Expansion of Copper is denoted by ΔL_cu symbol.

How to calculate Free Expansion of Copper using this online calculator? To use this online calculator for Free Expansion of Copper, enter Coefficient of Thermal Expansion (α_T), Temperature Rise (ΔT_rise) & Length of Bar (L_bar) and hit the calculate button. Here is how the Free Expansion of Copper calculation can be explained with given input values -> 2890 = 1.7E-05*85*2.

FAQ

What is Free Expansion of Copper?

The free expansion of copper formula is defined as the product of coefficient of thermal expansion of copper, temperature and length and is represented as ΔL_cu = α_T*ΔT_rise*L_bar or Free Expansion of Copper = Coefficient of Thermal Expansion*Temperature Rise*Length of Bar. The Coefficient of Thermal Expansion is a material property that is indicative of the extent to which a material expands upon heating, Temperature Rise is the increment in temperature of a unit mass when the heat is applied & Length Of Bar is defined as the total length of the Bar.

How to calculate Free Expansion of Copper?

The free expansion of copper formula is defined as the product of coefficient of thermal expansion of copper, temperature and length is calculated using Free Expansion of Copper = Coefficient of Thermal Expansion*Temperature Rise*Length of Bar. To calculate Free Expansion of Copper, you need Coefficient of Thermal Expansion (α_T), Temperature Rise (ΔT_rise) & Length of Bar (L_bar). With our tool, you need to enter the respective value for Coefficient of Thermal Expansion, Temperature Rise & Length of 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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