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Expansion due to tensile stress in steel Formula

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Expansion of Steel under Tensile Stress is defined as the elongation produced in steel members due to tensile stress. Check FAQs

α s = \frac{σ}{E} \cdot L bar

α_s - Expansion of Steel under Tensile Stress?σ - Stress in Bar?E - Young's Modulus Bar?L_bar - Length of Bar?

Expansion due to tensile stress in steel Example

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Here is how the Expansion due to tensile stress in steel equation looks like with Values.

Here is how the Expansion due to tensile stress in steel equation looks like with Units.

Here is how the Expansion due to tensile stress in steel equation looks like.

1043.4783 = \frac{0.012}{0.023} \cdot 2000

1043.4783mm = \frac{0.012MPa}{0.023MPa} \cdot 2000mm

1043.4783 = \frac{0.012}{0.023} \cdot 2000

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Expansion due to tensile stress in steel Solution

Follow our step by step solution on how to calculate Expansion due to tensile stress in steel?

FIRST Step Consider the formula

α s = \frac{σ}{E} \cdot L bar

Next Step Substitute values of Variables

∴

α s = \frac{0.012MPa}{0.023MPa} \cdot 2000mm

Next Step Convert Units

∴

α s = \frac{12000Pa}{23000Pa} \cdot 2m

Next Step Prepare to Evaluate

∴

α s = \frac{12000}{23000} \cdot 2

Next Step Evaluate

∴

α s = 1.04347826086957m

Next Step Convert to Output's Unit

∴

α s = 1043.47826086957mm

LAST Step Rounding Answer

∴

α s = 1043.4783mm

Expansion due to tensile stress in steel Formula Elements

Variables

Expansion of Steel under Tensile Stress

Expansion of Steel under Tensile Stress is defined as the elongation produced in steel members due to tensile stress.

Symbol: α_s

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Expansion of Steel under Tensile Stress

Stress in Bar

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

Symbol: σ

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Stress in Bar

Young's Modulus Bar

Young's Modulus Bar is a measure of the stiffness of a material. It quantifies the relationship between stress and strain in a material under tension or compression.

Symbol: E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Young's Modulus Bar

Length of Bar

Length of Bar typically refers to the physical measurement of the bar along its longest dimension.

Symbol: L_bar

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Bar

Other formulas in Thermal Stress in Composite Bars category

Go Load on Brass or Steel

W load = σ \cdot A

Go Actual Expansion of Steel

L = α T \cdot ΔT rise \cdot L bar + \frac{σ t}{E} \cdot L bar

Go Free Expansion of Steel

ΔL s = α T \cdot ΔT rise \cdot L bar

Go Actual Expansion of Copper

AE c = α T \cdot ΔT rise \cdot L bar - \frac{σ compressive}{E} \cdot L bar

How to Evaluate Expansion due to tensile stress in steel?

Expansion due to tensile stress in steel evaluator uses Expansion of Steel under Tensile Stress = Stress in Bar/Young's Modulus Bar*Length of Bar to evaluate the Expansion of Steel under Tensile Stress, The expansion due to tensile stress in steel formula is defined as the elongation produced in steel due to axial tensile load applied to steel member. Expansion of Steel under Tensile Stress is denoted by α_s symbol.

How to evaluate Expansion due to tensile stress in steel using this online evaluator? To use this online evaluator for Expansion due to tensile stress in steel, enter Stress in Bar (σ), Young's Modulus Bar (E) & Length of Bar (L_bar) and hit the calculate button.

FAQs on Expansion due to tensile stress in steel

What is the formula to find Expansion due to tensile stress in steel?

The formula of Expansion due to tensile stress in steel is expressed as Expansion of Steel under Tensile Stress = Stress in Bar/Young's Modulus Bar*Length of Bar. Here is an example- 1E+6 = 12000/23000*2.

How to calculate Expansion due to tensile stress in steel?

With Stress in Bar (σ), Young's Modulus Bar (E) & Length of Bar (L_bar) we can find Expansion due to tensile stress in steel using the formula - Expansion of Steel under Tensile Stress = Stress in Bar/Young's Modulus Bar*Length of Bar.

Can the Expansion due to tensile stress in steel be negative?

Yes, the Expansion due to tensile stress in steel, measured in Length can be negative.

Which unit is used to measure Expansion due to tensile stress in steel?

Expansion due to tensile stress in steel is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Expansion due to tensile stress in steel can be measured.

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