Actual Expansion of Steel 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%
✖Tensile stress can be defined as the magnitude of force applied along an elastic rod, which is divided by the cross-sectional area of the rod in a direction perpendicular to the applied force.ⓘ Tensile Stress [σ_t]			+10% -10%
✖Young's Modulus Bar is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus Bar [E]			+10% -10%

✖Actual expansion of steel is the sum of real expansion and apparent expansion.ⓘ Actual Expansion of Steel [L]

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Formula

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Actual Expansion of Steel

Formula

`"L" = "α"_{"T"}*"ΔT"_{"rise"}*"L"_{"bar"}+"σ"_{"t"}/"E"*"L"_{"bar"}`

Example

`"15046.37mm"="17E^-6°C⁻¹"*"85K"*"2000mm"+"0.173000MPa"/"0.023MPa"*"2000mm"`

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Actual Expansion of Steel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Actual Expansion of Steel = Coefficient of Thermal Expansion*Temperature Rise*Length of Bar+Tensile Stress/Young's Modulus Bar*Length of Bar
L = α_T*ΔT_rise*L_bar+σ_t/E*L_bar
This formula uses 6 Variables

Variables Used

Actual Expansion of Steel - (Measured in Meter) - Actual expansion of steel is the sum of real expansion and apparent expansion.
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.
Tensile Stress - (Measured in Pascal) - Tensile stress can be defined as the magnitude of force applied along an elastic rod, which is divided by the cross-sectional area of the rod in a direction perpendicular to the applied force.
Young's Modulus Bar - (Measured in Pascal) - Young's Modulus Bar is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

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)
Tensile Stress: 0.173 Megapascal --> 173000 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

L = α_T*ΔT_rise*L_bar+σ_t/E*L_bar --> 1.7E-05*85*2+173000/23000*2

Evaluating ... ...

L = 15.0463682608696

STEP 3: Convert Result to Output's Unit

15.0463682608696 Meter -->15046.3682608696 Millimeter (Check conversion here)

FINAL ANSWER

15046.3682608696 ≈ 15046.37 Millimeter <-- Actual Expansion of Steel

(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 » Actual Expansion of Steel

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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

Actual Expansion of Steel Formula

Actual Expansion of Steel = Coefficient of Thermal Expansion*Temperature Rise*Length of Bar+Tensile Stress/Young's Modulus Bar*Length of Bar
L = α_T*ΔT_rise*L_bar+σ_t/E*L_bar

What is actual expansion of steel?

The actual expansion of steel is the sum of free expansion of steel and expansion due to tensile stress in steel.

How to Calculate Actual Expansion of Steel?

Actual Expansion of Steel calculator uses Actual Expansion of Steel = Coefficient of Thermal Expansion*Temperature Rise*Length of Bar+Tensile Stress/Young's Modulus Bar*Length of Bar to calculate the Actual Expansion of Steel, The actual expansion of steel is the sum of free expansion of steel and expansion due to tensile stress in steel. Actual Expansion of Steel is denoted by L symbol.

How to calculate Actual Expansion of Steel using this online calculator? To use this online calculator for Actual Expansion of Steel, enter Coefficient of Thermal Expansion (α_T), Temperature Rise (ΔT_rise), Length of Bar (L_bar), Tensile Stress (σ_t) & Young's Modulus Bar (E) and hit the calculate button. Here is how the Actual Expansion of Steel calculation can be explained with given input values -> 1.5E+7 = 1.7E-05*85*2+173000/23000*2.

FAQ

What is Actual Expansion of Steel?

The actual expansion of steel is the sum of free expansion of steel and expansion due to tensile stress in steel and is represented as L = α_T*ΔT_rise*L_bar+σ_t/E*L_bar or Actual Expansion of Steel = Coefficient of Thermal Expansion*Temperature Rise*Length of Bar+Tensile Stress/Young's Modulus Bar*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, Tensile stress can be defined as the magnitude of force applied along an elastic rod, which is divided by the cross-sectional area of the rod in a direction perpendicular to the applied force & Young's Modulus Bar is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

How to calculate Actual Expansion of Steel?

The actual expansion of steel is the sum of free expansion of steel and expansion due to tensile stress in steel is calculated using Actual Expansion of Steel = Coefficient of Thermal Expansion*Temperature Rise*Length of Bar+Tensile Stress/Young's Modulus Bar*Length of Bar. To calculate Actual Expansion of Steel, you need Coefficient of Thermal Expansion (α_T), Temperature Rise (ΔT_rise), Length of Bar (L_bar), Tensile Stress (σ_t) & Young's Modulus Bar (E). With our tool, you need to enter the respective value for Coefficient of Thermal Expansion, Temperature Rise, Length of Bar, Tensile 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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