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Radial pressure given tensile circumferential strain for thick spherical shell 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 = ((e 1 \cdot E) - σ θ \cdot (\frac{M - 1}{M})) \cdot M

P_v - Radial Pressure?e₁ - Circumferential Strain?E - Modulus of Elasticity Of Thick Shell?σ_θ - Hoop Stress on thick shell?M - Mass Of Shell?

Radial pressure given tensile circumferential strain for thick spherical shell Example

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Here is how the Radial pressure given tensile circumferential strain for thick spherical shell equation looks like with Values.

Here is how the Radial pressure given tensile circumferential strain for thick spherical shell equation looks like with Units.

Here is how the Radial pressure given tensile circumferential strain for thick spherical shell equation looks like.

230.3561 = ((2.5 \cdot 2.6) - 0.002 \cdot (\frac{35.45 - 1}{35.45})) \cdot 35.45

230.3561MPa/m² = ((2.5 \cdot 2.6MPa) - 0.002MPa \cdot (\frac{35.45kg - 1}{35.45kg})) \cdot 35.45kg

230.3561 = ((2.5 \cdot 2.6) - 0.002 \cdot (\frac{35.45 - 1}{35.45})) \cdot 35.45

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Radial pressure given tensile circumferential strain for thick spherical shell Solution

Follow our step by step solution on how to calculate Radial pressure given tensile circumferential strain for thick spherical shell?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P v = ((2.5 \cdot 2.6MPa) - 0.002MPa \cdot (\frac{35.45kg - 1}{35.45kg})) \cdot 35.45kg

Next Step Convert Units

∴

P v = ((2.5 \cdot 2.6E+6Pa) - 2000Pa \cdot (\frac{35.45kg - 1}{35.45kg})) \cdot 35.45kg

Next Step Prepare to Evaluate

∴

P v = ((2.5 \cdot 2.6E+6) - 2000 \cdot (\frac{35.45 - 1}{35.45})) \cdot 35.45

Next Step Evaluate

∴

P v = 230356100Pa/m²

LAST Step Convert to Output's Unit

∴

P v = 230.3561MPa/m²

Radial pressure given tensile circumferential strain for thick spherical shell 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

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

Modulus of Elasticity Of Thick Shell

Modulus of Elasticity Of Thick Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.

Symbol: E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity Of Thick Shell

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

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 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)

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 given tensile circumferential strain for thick spherical shell?

Radial pressure given tensile circumferential strain for thick spherical shell evaluator uses Radial Pressure = ((Circumferential Strain*Modulus of Elasticity Of Thick Shell)-Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell))*Mass Of Shell to evaluate the Radial Pressure, Radial pressure given tensile circumferential strain for thick spherical shell formula is defined as a method to evaluate the internal pressure exerted by a thick spherical shell under tensile circumferential strain. This concept is crucial in understanding the structural integrity and performance of spherical pressure vessels. Radial Pressure is denoted by P_v symbol.

How to evaluate Radial pressure given tensile circumferential strain for thick spherical shell using this online evaluator? To use this online evaluator for Radial pressure given tensile circumferential strain for thick spherical shell, enter Circumferential Strain (e₁), Modulus of Elasticity Of Thick Shell (E), Hoop Stress on thick shell (σ_θ) & Mass Of Shell (M) and hit the calculate button.

FAQs on Radial pressure given tensile circumferential strain for thick spherical shell

What is the formula to find Radial pressure given tensile circumferential strain for thick spherical shell?

The formula of Radial pressure given tensile circumferential strain for thick spherical shell is expressed as Radial Pressure = ((Circumferential Strain*Modulus of Elasticity Of Thick Shell)-Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell))*Mass Of Shell. Here is an example- 0.00023 = ((2.5*2600000)-2000*((35.45-1)/35.45))*35.45.

How to calculate Radial pressure given tensile circumferential strain for thick spherical shell?

With Circumferential Strain (e₁), Modulus of Elasticity Of Thick Shell (E), Hoop Stress on thick shell (σ_θ) & Mass Of Shell (M) we can find Radial pressure given tensile circumferential strain for thick spherical shell using the formula - Radial Pressure = ((Circumferential Strain*Modulus of Elasticity Of Thick Shell)-Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of 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/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 given tensile circumferential strain for thick spherical shell be negative?

Yes, the Radial pressure given tensile circumferential strain for thick spherical shell, measured in Radial Pressure can be negative.

Which unit is used to measure Radial pressure given tensile circumferential strain for thick spherical shell?

Radial pressure given tensile circumferential strain for thick spherical shell 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 given tensile circumferential strain for thick spherical shell can be measured.

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Radial pressure given tensile circumferential strain for thick spherical shell 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 given tensile circumferential strain for thick spherical shell Example

Radial pressure given tensile circumferential strain for thick spherical shell Solution

Radial pressure given tensile circumferential strain for thick spherical shell Formula Elements

Other Formulas to find Radial Pressure

Other formulas in Thick Spherical Shells category

How to Evaluate Radial pressure given tensile circumferential strain for thick spherical shell?

FAQs on Radial pressure given tensile circumferential strain for thick spherical shell

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