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Radial 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

GoRadial pressure on thick spherical shell given tensile radial strain 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 compressive) - (2 \cdot \frac{σ θ}{M})

P_v - Radial Pressure?F'_c - Adjusted design value?ε_compressive - Compressive Strain?σ_θ - Hoop Stress on thick shell?M - Mass Of Shell?

Radial pressure on thick spherical shell given compressive radial strain Example

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Here is how the Radial pressure on thick spherical shell given compressive radial strain equation looks like with Values.

Here is how the Radial pressure on thick spherical shell given compressive radial strain equation looks like with Units.

Here is how the Radial pressure on thick spherical shell given compressive radial strain equation looks like.

0.9999 = (10 \cdot 0.1) - (2 \cdot \frac{0.002}{35.45})

0.9999MPa/m² = (10MPa \cdot 0.1) - (2 \cdot \frac{0.002MPa}{35.45kg})

0.9999 = (10 \cdot 0.1) - (2 \cdot \frac{0.002}{35.45})

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Radial pressure on thick spherical shell given compressive radial strain Solution

Follow our step by step solution on how to calculate Radial pressure on thick spherical shell given compressive radial strain?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P v = (10MPa \cdot 0.1) - (2 \cdot \frac{0.002MPa}{35.45kg})

Next Step Convert Units

∴

P v = (1E+7Pa \cdot 0.1) - (2 \cdot \frac{2000Pa}{35.45kg})

Next Step Prepare to Evaluate

∴

P v = (1E+7 \cdot 0.1) - (2 \cdot \frac{2000}{35.45})

Next Step Evaluate

∴

P v = 999887.165021157Pa/m²

Next Step Convert to Output's Unit

∴

P v = 0.999887165021156MPa/m²

LAST Step Rounding Answer

∴

P v = 0.9999MPa/m²

Radial pressure on thick spherical shell given compressive radial strain 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

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

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

Mass Of Shell

Mass Of Shell is the quantity of matter in a body regardless of its volume or of any forces acting on it.

Symbol: M

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass Of Shell

Other Formulas to find Radial Pressure

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

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

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 compressive radial strain?

Radial pressure on thick spherical shell given compressive radial strain evaluator uses Radial Pressure = (Adjusted design value*Compressive Strain)-(2*Hoop Stress on thick shell/Mass Of Shell) to evaluate the Radial Pressure, Radial pressure on thick spherical shell given compressive radial strain formula is defined as a method to evaluate the internal pressure exerted on a thick spherical shell when subjected to compressive radial strain. It helps in understanding the structural integrity and performance of spherical shells under load. Radial Pressure is denoted by P_v symbol.

How to evaluate Radial pressure on thick spherical shell given compressive radial strain using this online evaluator? To use this online evaluator for Radial pressure on thick spherical shell given compressive radial strain, enter Adjusted design value (F'_c), Compressive Strain (ε_compressive), Hoop Stress on thick shell (σ_θ) & Mass Of Shell (M) and hit the calculate button.

FAQs on Radial pressure on thick spherical shell given compressive radial strain

What is the formula to find Radial pressure on thick spherical shell given compressive radial strain?

The formula of Radial pressure on thick spherical shell given compressive radial strain is expressed as Radial Pressure = (Adjusted design value*Compressive Strain)-(2*Hoop Stress on thick shell/Mass Of Shell). Here is an example- 1E-6 = (10000000*0.1)-(2*2000/35.45).

How to calculate Radial pressure on thick spherical shell given compressive radial strain?

With Adjusted design value (F'_c), Compressive Strain (ε_compressive), Hoop Stress on thick shell (σ_θ) & Mass Of Shell (M) we can find Radial pressure on thick spherical shell given compressive radial strain using the formula - Radial Pressure = (Adjusted design value*Compressive Strain)-(2*Hoop Stress on thick shell/Mass Of Shell).

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

Can the Radial pressure on thick spherical shell given compressive radial strain be negative?

Yes, the Radial pressure on thick spherical shell given compressive radial strain, measured in Radial Pressure can be negative.

Which unit is used to measure Radial pressure on thick spherical shell given compressive radial strain?

Radial pressure on thick spherical shell given compressive radial strain 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 compressive radial strain can be measured.

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Radial 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

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

Radial pressure on thick spherical shell given compressive radial strain Example

Radial pressure on thick spherical shell given compressive radial strain Solution

Radial pressure on thick spherical shell given compressive radial strain 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 compressive radial strain?

FAQs on Radial pressure on thick spherical shell given compressive radial strain

Variable Name

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

GoRadial pressure on thick spherical shell given tensile radial strain Formula