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

GoYoung's modulus for wire given strain in wire 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 cf - (𝛎 \cdot σ l)}{e 1}

E - Young's Modulus Cylinder?σ_cf - Circumferential stress because of fluid pressure?𝛎 - Poisson's Ratio?σ_l - Longitudinal Stress?e₁ - Circumferential Strain?

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

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

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

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

0.0692 = \frac{0.2 - (0.3 \cdot 0.09)}{2.5}

0.0692MPa = \frac{0.2MPa - (0.3 \cdot 0.09MPa)}{2.5}

0.0692 = \frac{0.2 - (0.3 \cdot 0.09)}{2.5}

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

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

FIRST Step Consider the formula

E = \frac{σ cf - (𝛎 \cdot σ l)}{e 1}

Next Step Substitute values of Variables

∴

E = \frac{0.2MPa - (0.3 \cdot 0.09MPa)}{2.5}

Next Step Convert Units

∴

E = \frac{200000Pa - (0.3 \cdot 90000Pa)}{2.5}

Next Step Prepare to Evaluate

∴

E = \frac{200000 - (0.3 \cdot 90000)}{2.5}

Next Step Evaluate

∴

E = 69200Pa

LAST Step Convert to Output's Unit

∴

E = 0.0692MPa

Young's modulus for cylinder given circumferential strain in cylinder 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

Circumferential stress because of fluid pressure

Circumferential stress because of fluid pressure is a kind of tensile stress exerted on cylinder due to fluid pressure.

Symbol: σ_cf

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Circumferential stress because of fluid pressure

Poisson's Ratio

Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.

Symbol: 𝛎

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Poisson's Ratio

Longitudinal Stress

Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.

Symbol: σ_l

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Longitudinal Stress

Circumferential Strain

Circumferential strain represents the change in length.

Symbol: e₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Circumferential Strain

Other Formulas to find Young's Modulus Cylinder

Go Young's modulus for wire given strain in wire

E = \frac{σ w}{ε}

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 cylinder given circumferential strain in cylinder?

Young's modulus for cylinder given circumferential strain in cylinder evaluator uses Young's Modulus Cylinder = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Circumferential Strain to evaluate the Young's Modulus Cylinder, Young's modulus for cylinder given circumferential strain in cylinder is a property of the material that tells us how easy it can stretch and deform and is defined as the ratio of tensile stress (σ) to tensile strain (ε). Young's Modulus Cylinder is denoted by E symbol.

How to evaluate Young's modulus for cylinder given circumferential strain in cylinder using this online evaluator? To use this online evaluator for Young's modulus for cylinder given circumferential strain in cylinder, enter Circumferential stress because of fluid pressure (σ_cf), Poisson's Ratio (𝛎), Longitudinal Stress (σ_l) & Circumferential Strain (e₁) and hit the calculate button.

FAQs on Young's modulus for cylinder given circumferential strain in cylinder

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

The formula of Young's modulus for cylinder given circumferential strain in cylinder is expressed as Young's Modulus Cylinder = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Circumferential Strain. Here is an example- -1E-8 = (200000-(0.3*90000))/2.5.

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

With Circumferential stress because of fluid pressure (σ_cf), Poisson's Ratio (𝛎), Longitudinal Stress (σ_l) & Circumferential Strain (e₁) we can find Young's modulus for cylinder given circumferential strain in cylinder using the formula - Young's Modulus Cylinder = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Circumferential Strain.

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=Stress in wire due to fluid pressure/Strain in thin shell

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

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

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

Young's modulus for cylinder given circumferential strain in cylinder 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 cylinder given circumferential strain in cylinder can be measured.

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

​GoYoung's modulus for wire given strain in wire Formula

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

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

Young's modulus for cylinder given circumferential strain in cylinder Formula Elements

Other Formulas to find Young's Modulus Cylinder

Other formulas in Wire Parameters category

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

FAQs on Young's modulus for cylinder given circumferential strain in cylinder

Variable Name

GoYoung's modulus for wire given strain in wire Formula