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Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio Formula

GoRadial pressure on thick spherical shell given compressive radial strain Formula

GoRadial pressure on thick spherical shell given compressive radial strain and Poisson's ratio Formula

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

P v = (F' c \cdot ε tensile) - (2 \cdot σ θ \cdot 𝛎)

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

Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio Example

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Here is how the Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio equation looks like with Values.

Here is how the Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio equation looks like with Units.

Here is how the Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio equation looks like.

5.9988 = (10 \cdot 0.6) - (2 \cdot 0.002 \cdot 0.3)

5.9988MPa/m² = (10MPa \cdot 0.6) - (2 \cdot 0.002MPa \cdot 0.3)

5.9988 = (10 \cdot 0.6) - (2 \cdot 0.002 \cdot 0.3)

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Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio Solution

Follow our step by step solution on how to calculate Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio?

FIRST Step Consider the formula

P v = (F' c \cdot ε tensile) - (2 \cdot σ θ \cdot 𝛎)

Next Step Substitute values of Variables

∴

P v = (10MPa \cdot 0.6) - (2 \cdot 0.002MPa \cdot 0.3)

Next Step Convert Units

∴

P v = (1E+7Pa \cdot 0.6) - (2 \cdot 2000Pa \cdot 0.3)

Next Step Prepare to Evaluate

∴

P v = (1E+7 \cdot 0.6) - (2 \cdot 2000 \cdot 0.3)

Next Step Evaluate

∴

P v = 5998800Pa/m²

LAST Step Convert to Output's Unit

∴

P v = 5.9988MPa/m²

Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio Formula Elements

Variables

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

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

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

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

Other Formulas to find Radial Pressure

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 Radial pressure on thick spherical shell given compressive radial strain and Poisson's ratio

P v = (F' c \cdot ε compressive) - (2 \cdot σ θ \cdot 𝛎)

Go Radial pressure on thick spherical shell given tensile radial strain

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

Go Radial pressure given tensile circumferential strain for thick spherical shell

P v = ((e 1 \cdot E) - σ θ \cdot (\frac{M - 1}{M})) \cdot M

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 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 Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio?

Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio evaluator uses Radial Pressure = (Adjusted design value*Tensile Strain)-(2*Hoop Stress on thick shell*Poisson's Ratio) to evaluate the Radial Pressure, Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio is a stress towards or away from the central axis of a component. Radial Pressure is denoted by P_v symbol.

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

FAQs on Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio

What is the formula to find Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio?

The formula of Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio is expressed as Radial Pressure = (Adjusted design value*Tensile Strain)-(2*Hoop Stress on thick shell*Poisson's Ratio). Here is an example- 6E-6 = (10000000*0.6)-(2*2000*0.3).

How to calculate Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio?

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

What are the other ways to Calculate Radial Pressure?

Here are the different ways to Calculate Radial Pressure-

Radial Pressure=(Adjusted design value*Compressive Strain)-(2*Hoop Stress on thick shell/Mass Of Shell)
Radial Pressure=(Adjusted design value*Compressive Strain)-(2*Hoop Stress on thick shell*Poisson's Ratio)
Radial Pressure=((Adjusted design value*Tensile Strain)-(2*Hoop Stress on thick shell/Mass Of Shell))

Can the Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio be negative?

Yes, the Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio, measured in Radial Pressure can be negative.

Which unit is used to measure Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio?

Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio is usually measured using the Megapascal per Square Meter[MPa/m²] for Radial Pressure. Pascal per Square Meter[MPa/m²], Millipascal per Square Meter[MPa/m²], Bar per Square Meter[MPa/m²] are the few other units in which Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio can be measured.

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Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio Formula

​GoRadial pressure on thick spherical shell given compressive radial strain Formula

​GoRadial pressure on thick spherical shell given compressive radial strain and Poisson's ratio Formula

Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio Example

Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio Solution

Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio Formula Elements

Other Formulas to find Radial Pressure

Other formulas in Thick Spherical Shells category

How to Evaluate Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio?

FAQs on Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio

Variable Name

GoRadial pressure on thick spherical shell given compressive radial strain Formula

GoRadial pressure on thick spherical shell given compressive radial strain and Poisson's ratio Formula