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Young's modulus for wire given strain in wire Formula

GoYoung's modulus for cylinder given circumferential strain in cylinder Formula

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Young's Modulus Cylinder is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain. Check FAQs

E = \frac{σ w}{ε}

E - Young's Modulus Cylinder?σ_w - Stress in wire due to fluid pressure?ε - Strain in thin shell?

Young's modulus for wire given strain in wire Example

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Here is how the Young's modulus for wire given strain in wire equation looks like with Values.

Here is how the Young's modulus for wire given strain in wire equation looks like with Units.

Here is how the Young's modulus for wire given strain in wire equation looks like.

2.6667 = \frac{8}{3}

2.6667MPa = \frac{8MPa}{3}

2.6667 = \frac{8}{3}

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Young's modulus for wire given strain in wire Solution

Follow our step by step solution on how to calculate Young's modulus for wire given strain in wire?

FIRST Step Consider the formula

E = \frac{σ w}{ε}

Next Step Substitute values of Variables

∴

E = \frac{8MPa}{3}

Next Step Convert Units

∴

E = \frac{8E+6Pa}{3}

Next Step Prepare to Evaluate

∴

E = \frac{8E+6}{3}

Next Step Evaluate

∴

E = 2666666.66666667Pa

Next Step Convert to Output's Unit

∴

E = 2.66666666666667MPa

LAST Step Rounding Answer

∴

E = 2.6667MPa

Young's modulus for wire given strain in wire Formula Elements

Variables

Young's Modulus Cylinder

Young's Modulus Cylinder is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Young's Modulus Cylinder

Stress in wire due to fluid pressure

Stress in wire due to fluid pressure is a kind of tensile stress exerted on wire due to fluid pressure.

Symbol: σ_w

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Stress in wire due to fluid pressure

Strain in thin shell

Strain in thin shell is simply the measure of how much an object is stretched or deformed.

Symbol: ε

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Strain in thin shell

Other Formulas to find Young's Modulus Cylinder

Go Young's modulus for cylinder given circumferential strain in cylinder

E = \frac{σ cf - (𝛎 \cdot σ l)}{e 1}

Other formulas in Wire Parameters category

Go Length of cylinder given initial compressive force in cylinder for length L

L cylinder = \frac{F compressive}{2 \cdot t \cdot F circumference}

Go Thickness of cylinder given initial compressive force in cylinder for length 'L'

t = \frac{F compressive}{2 \cdot L cylinder \cdot F circumference}

Go Number of turns in wire for length 'L' given initial tensile force in wire

N = \frac{F}{(((\frac{π}{2}) \cdot ({G wire}^{2}))) \cdot σ w}

Go Number of turns of wire in length 'L'

N = \frac{L}{G wire}

How to Evaluate Young's modulus for wire given strain in wire?

Young's modulus for wire given strain in wire evaluator uses Young's Modulus Cylinder = Stress in wire due to fluid pressure/Strain in thin shell to evaluate the Young's Modulus Cylinder, The Young's modulus for wire given strain in wire formula is defined as a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression. Young's Modulus Cylinder is denoted by E symbol.

How to evaluate Young's modulus for wire given strain in wire using this online evaluator? To use this online evaluator for Young's modulus for wire given strain in wire, enter Stress in wire due to fluid pressure (σ_w) & Strain in thin shell (ε) and hit the calculate button.

FAQs on Young's modulus for wire given strain in wire

What is the formula to find Young's modulus for wire given strain in wire?

The formula of Young's modulus for wire given strain in wire is expressed as Young's Modulus Cylinder = Stress in wire due to fluid pressure/Strain in thin shell. Here is an example- 2.7E-6 = 8000000/3.

How to calculate Young's modulus for wire given strain in wire?

With Stress in wire due to fluid pressure (σ_w) & Strain in thin shell (ε) we can find Young's modulus for wire given strain in wire using the formula - Young's Modulus Cylinder = Stress in wire due to fluid pressure/Strain in thin shell.

What are the other ways to Calculate Young's Modulus Cylinder?

Here are the different ways to Calculate Young's Modulus Cylinder-

Young's Modulus Cylinder=(Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Circumferential Strain

Can the Young's modulus for wire given strain in wire be negative?

No, the Young's modulus for wire given strain in wire, measured in Pressure cannot be negative.

Which unit is used to measure Young's modulus for wire given strain in wire?

Young's modulus for wire given strain in wire is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Young's modulus for wire given strain in wire can be measured.

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