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Circumferential strain in cylinder Formula

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Circumferential strain represents the change in length. Check FAQs

e 1 = \frac{σ cf - (𝛎 \cdot σ l)}{E}

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

Circumferential strain in cylinder Example

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Here is how the Circumferential strain in cylinder equation looks like with Values.

Here is how the Circumferential strain in cylinder equation looks like with Units.

Here is how the Circumferential strain in cylinder equation looks like.

0.018 = \frac{0.2 - (0.3 \cdot 0.09)}{9.6}

0.018 = \frac{0.2MPa - (0.3 \cdot 0.09MPa)}{9.6MPa}

0.018 = \frac{0.2 - (0.3 \cdot 0.09)}{9.6}

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Circumferential strain in cylinder Solution

Follow our step by step solution on how to calculate Circumferential strain in cylinder?

FIRST Step Consider the formula

e 1 = \frac{σ cf - (𝛎 \cdot σ l)}{E}

Next Step Substitute values of Variables

∴

e 1 = \frac{0.2MPa - (0.3 \cdot 0.09MPa)}{9.6MPa}

Next Step Convert Units

∴

e 1 = \frac{200000Pa - (0.3 \cdot 90000Pa)}{9.6E+6Pa}

Next Step Prepare to Evaluate

∴

e 1 = \frac{200000 - (0.3 \cdot 90000)}{9.6E+6}

Next Step Evaluate

∴

e 1 = 0.0180208333333333

LAST Step Rounding Answer

∴

e 1 = 0.018

Circumferential strain in cylinder Formula Elements

Variables

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

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

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

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 Circumferential strain in cylinder?

Circumferential strain in cylinder evaluator uses Circumferential strain = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Young's Modulus Cylinder to evaluate the Circumferential strain, The Circumferential strain in cylinder formula is defined as simply the measure of how much an object is stretched or deformed. Circumferential strain is denoted by e₁ symbol.

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

FAQs on Circumferential strain in cylinder

What is the formula to find Circumferential strain in cylinder?

The formula of Circumferential strain in cylinder is expressed as Circumferential strain = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Young's Modulus Cylinder. Here is an example- -0.002604 = (200000-(0.3*90000))/9600000.

How to calculate Circumferential strain in cylinder?

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

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Circumferential strain in cylinder Formula

Circumferential strain in cylinder Example

Circumferential strain in cylinder Solution

Circumferential strain in cylinder Formula Elements

Other formulas in Wire Parameters category

How to Evaluate Circumferential strain in cylinder?

FAQs on Circumferential strain in cylinder

Variable Name