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

GoTensile radial strain for thick spherical shell Formula

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Tensile Strain is the ratio of change in length to original length. Check FAQs

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

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

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

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

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

Here is how the Tensile 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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Tensile radial strain given Poisson's ratio for thick spherical shell Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

ε tensile = 0.00152

LAST Step Rounding Answer

∴

ε tensile = 0.0015

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

Variables

Tensile Strain

Tensile Strain is the ratio of change in length to original length.

Symbol: ε_tensile

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Tensile 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 Tensile Strain

Go Tensile radial strain for thick spherical shell

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

Other formulas in Thick Spherical Shells category

Go Compressive radial strain for thick spherical shells

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

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}

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

Tensile radial strain given Poisson's ratio for thick spherical shell evaluator uses Tensile Strain = ((Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Adjusted design value) to evaluate the Tensile Strain, Tensile 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 internal pressure, incorporating the effects of radial and circumferential stresses along with Poisson's ratio to understand material behavior under load. Tensile Strain is denoted by ε_tensile symbol.

How to evaluate Tensile radial strain given Poisson's ratio for thick spherical shell using this online evaluator? To use this online evaluator for Tensile 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 Tensile radial strain given Poisson's ratio for thick spherical shell

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

The formula of Tensile radial strain given Poisson's ratio for thick spherical shell is expressed as Tensile 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 Tensile 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 Tensile radial strain given Poisson's ratio for thick spherical shell using the formula - Tensile Strain = ((Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Adjusted design value).

What are the other ways to Calculate Tensile Strain?

Here are the different ways to Calculate Tensile Strain-

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

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

​GoTensile radial strain for thick spherical shell Formula

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

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

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

Other Formulas to find Tensile Strain

Other formulas in Thick Spherical Shells category

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

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

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GoTensile radial strain for thick spherical shell Formula