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Compressive radial strain given Poisson's ratio for thick spherical shell Formula

GoCompressive radial strain for thick spherical shells Formula

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The Compressive Strain is the ratio of change in length to the original length of the body when subjected to a compressive load. Check FAQs

ε compressive = \frac{P v + (2 \cdot σ θ \cdot 𝛎)}{F' c}

ε_compressive - Compressive Strain?P_v - Radial Pressure?σ_θ - Hoop Stress on thick shell?𝛎 - Poisson's Ratio?F'_c - Adjusted design value?

Compressive radial strain given Poisson's ratio for thick spherical shell Example

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Here is how the Compressive radial strain given Poisson's ratio for thick spherical shell equation looks like with Values.

Here is how the Compressive radial strain given Poisson's ratio for thick spherical shell equation looks like with Units.

Here is how the Compressive radial strain given Poisson's ratio for thick spherical shell equation looks like.

0.0015 = \frac{0.014 + (2 \cdot 0.002 \cdot 0.3)}{10}

0.0015 = \frac{0.014MPa/m² + (2 \cdot 0.002MPa \cdot 0.3)}{10MPa}

0.0015 = \frac{0.014 + (2 \cdot 0.002 \cdot 0.3)}{10}

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Compressive radial strain given Poisson's ratio for thick spherical shell Solution

Follow our step by step solution on how to calculate Compressive radial strain given Poisson's ratio for thick spherical shell?

FIRST Step Consider the formula

ε compressive = \frac{P v + (2 \cdot σ θ \cdot 𝛎)}{F' c}

Next Step Substitute values of Variables

∴

ε compressive = \frac{0.014MPa/m² + (2 \cdot 0.002MPa \cdot 0.3)}{10MPa}

Next Step Convert Units

∴

ε compressive = \frac{14000Pa/m² + (2 \cdot 2000Pa \cdot 0.3)}{1E+7Pa}

Next Step Prepare to Evaluate

∴

ε compressive = \frac{14000 + (2 \cdot 2000 \cdot 0.3)}{1E+7}

Next Step Evaluate

∴

ε compressive = 0.00152

LAST Step Rounding Answer

∴

ε compressive = 0.0015

Compressive radial strain given Poisson's ratio for thick spherical shell Formula Elements

Variables

Compressive Strain

The Compressive Strain is the ratio of change in length to the original length of the body when subjected to a compressive load.

Symbol: ε_compressive

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Compressive Strain

Radial Pressure

Radial Pressure is pressure towards or away from the central axis of a component.

Symbol: P_v

Measurement: Radial PressureUnit: MPa/m²

Note: Value can be positive or negative.

Formulas to find Radial Pressure

Hoop Stress on thick shell

Hoop Stress on thick shell is the circumferential stress in a cylinder.

Symbol: σ_θ

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Hoop Stress on thick shell

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

Adjusted design value

Adjusted design value for compression corrects the design value by using some factor.

Symbol: F'_c

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Adjusted design value

Other Formulas to find Compressive Strain

Go Compressive radial strain for thick spherical shells

ε compressive = \frac{P v + (2 \cdot \frac{σ θ}{M})}{F' c}

Other formulas in Thick Spherical Shells category

Go Radial pressure on thick spherical shell given compressive radial strain

P v = (F' c \cdot ε compressive) - (2 \cdot \frac{σ θ}{M})

Go Hoop stress on thick spherical shell given compressive radial strain

σ θ = ((E \cdot ε compressive) - P v) \cdot \frac{M}{2}

Go Mass of thick spherical shell given compressive radial strain

M = \frac{2 \cdot σ θ}{(E \cdot ε compressive) - P v}

Go Modulus of elasticity for thick spherical shell given compressive radial strain

F' c = \frac{P v + (2 \cdot \frac{σ θ}{M})}{ε compressive}

How to Evaluate Compressive radial strain given Poisson's ratio for thick spherical shell?

Compressive radial strain given Poisson's ratio for thick spherical shell evaluator uses Compressive Strain = (Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Adjusted design value to evaluate the Compressive Strain, Compressive radial strain given Poisson's ratio for thick spherical shell formula is defined as a relationship that describes how a thick spherical shell deforms under pressure, taking into account the material's Poisson's ratio and the stresses acting on the shell. It is essential for understanding structural integrity. Compressive Strain is denoted by ε_compressive symbol.

How to evaluate Compressive radial strain given Poisson's ratio for thick spherical shell using this online evaluator? To use this online evaluator for Compressive radial strain given Poisson's ratio for thick spherical shell, enter Radial Pressure (P_v), Hoop Stress on thick shell (σ_θ), Poisson's Ratio (𝛎) & Adjusted design value (F'_c) and hit the calculate button.

FAQs on Compressive radial strain given Poisson's ratio for thick spherical shell

What is the formula to find Compressive radial strain given Poisson's ratio for thick spherical shell?

The formula of Compressive radial strain given Poisson's ratio for thick spherical shell is expressed as Compressive Strain = (Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Adjusted design value. Here is an example- 0.00152 = (14000+(2*2000*0.3))/10000000.

How to calculate Compressive radial strain given Poisson's ratio for thick spherical shell?

With Radial Pressure (P_v), Hoop Stress on thick shell (σ_θ), Poisson's Ratio (𝛎) & Adjusted design value (F'_c) we can find Compressive radial strain given Poisson's ratio for thick spherical shell using the formula - Compressive Strain = (Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Adjusted design value.

What are the other ways to Calculate Compressive Strain?

Here are the different ways to Calculate Compressive Strain-

Compressive Strain=(Radial Pressure+(2*Hoop Stress on thick shell/Mass Of Shell))/Adjusted design value

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Compressive radial strain given Poisson's ratio for thick spherical shell Formula

​GoCompressive radial strain for thick spherical shells Formula

Compressive radial strain given Poisson's ratio for thick spherical shell Example

Compressive radial strain given Poisson's ratio for thick spherical shell Solution

Compressive radial strain given Poisson's ratio for thick spherical shell Formula Elements

Other Formulas to find Compressive Strain

Other formulas in Thick Spherical Shells category

How to Evaluate Compressive radial strain given Poisson's ratio for thick spherical shell?

FAQs on Compressive radial strain given Poisson's ratio for thick spherical shell

Variable Name

GoCompressive radial strain for thick spherical shells Formula