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Hoop stress on thick spherical shell given compressive radial strain Formula

GoHoop stress on thick spherical shell given compressive radial strain and Poisson's ratio Formula

GoHoop stress on thick spherical shell given tensile radial strain Formula

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

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

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

Hoop stress on thick spherical shell given compressive radial strain Example

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

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

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

4.3604 = ((2.6 \cdot 0.1) - 0.014) \cdot \frac{35.45}{2}

4.3604MPa = ((2.6MPa \cdot 0.1) - 0.014MPa/m²) \cdot \frac{35.45kg}{2}

4.3604 = ((2.6 \cdot 0.1) - 0.014) \cdot \frac{35.45}{2}

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Hoop stress on thick spherical shell given compressive radial strain Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ θ = ((2.6MPa \cdot 0.1) - 0.014MPa/m²) \cdot \frac{35.45kg}{2}

Next Step Convert Units

∴

σ θ = ((2.6E+6Pa \cdot 0.1) - 14000Pa/m²) \cdot \frac{35.45kg}{2}

Next Step Prepare to Evaluate

∴

σ θ = ((2.6E+6 \cdot 0.1) - 14000) \cdot \frac{35.45}{2}

Next Step Evaluate

∴

σ θ = 4360350Pa

Next Step Convert to Output's Unit

∴

σ θ = 4.36035MPa

LAST Step Rounding Answer

∴

σ θ = 4.3604MPa

Hoop stress on thick spherical shell given compressive radial strain Formula Elements

Variables

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

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

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

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 Hoop Stress on thick shell

Go Hoop stress on thick spherical shell given compressive radial strain and Poisson's ratio

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

Go Hoop stress on thick spherical shell given tensile radial strain

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

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

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

Go Hoop stress given tensile circumferential strain for thick spherical shell

σ θ = \frac{(e 1 \cdot E) - (\frac{P v}{M})}{\frac{M - 1}{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 Radial pressure on thick spherical shell given compressive radial strain

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

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 Hoop stress on thick spherical shell given compressive radial strain?

Hoop stress on thick spherical shell given compressive radial strain evaluator uses Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure)*Mass Of Shell/2 to evaluate the Hoop Stress on thick shell, Hoop stress on thick spherical shell given compressive radial strain formula is defined as a measure of the internal stress experienced by a thick spherical shell due to external pressures and material properties. It helps in understanding the structural integrity and performance of spherical components under load. Hoop Stress on thick shell is denoted by σ_θ symbol.

How to evaluate Hoop stress on thick spherical shell given compressive radial strain using this online evaluator? To use this online evaluator for Hoop stress on thick spherical shell given compressive radial strain, enter Modulus of Elasticity Of Thick Shell (E), Compressive Strain (ε_compressive), Radial Pressure (P_v) & Mass Of Shell (M) and hit the calculate button.

FAQs on Hoop stress on thick spherical shell given compressive radial strain

What is the formula to find Hoop stress on thick spherical shell given compressive radial strain?

The formula of Hoop stress on thick spherical shell given compressive radial strain is expressed as Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure)*Mass Of Shell/2. Here is an example- 4.4E-6 = ((2600000*0.1)-14000)*35.45/2.

How to calculate Hoop stress on thick spherical shell given compressive radial strain?

With Modulus of Elasticity Of Thick Shell (E), Compressive Strain (ε_compressive), Radial Pressure (P_v) & Mass Of Shell (M) we can find Hoop stress on thick spherical shell given compressive radial strain using the formula - Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure)*Mass Of Shell/2.

What are the other ways to Calculate Hoop Stress on thick shell?

Here are the different ways to Calculate Hoop Stress on thick shell-

Hoop Stress on thick shell=((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure)/(2*Poisson's Ratio)
Hoop Stress on thick shell=((Modulus of Elasticity Of Thick Shell*Tensile Strain)-Radial Pressure)*Mass Of Shell/2
Hoop Stress on thick shell=((Modulus of Elasticity Of Thick Shell*Tensile Strain)-Radial Pressure)/(2*Poisson's Ratio)

Can the Hoop stress on thick spherical shell given compressive radial strain be negative?

No, the Hoop stress on thick spherical shell given compressive radial strain, measured in Stress cannot be negative.

Which unit is used to measure Hoop stress on thick spherical shell given compressive radial strain?

Hoop stress on thick spherical shell given compressive radial strain is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Hoop stress on thick spherical shell given compressive radial strain can be measured.

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Hoop stress on thick spherical shell given compressive radial strain Formula

​GoHoop stress on thick spherical shell given compressive radial strain and Poisson's ratio Formula

​GoHoop stress on thick spherical shell given tensile radial strain Formula

Hoop stress on thick spherical shell given compressive radial strain Example

Hoop stress on thick spherical shell given compressive radial strain Solution

Hoop stress on thick spherical shell given compressive radial strain Formula Elements

Other Formulas to find Hoop Stress on thick shell

Other formulas in Thick Spherical Shells category

How to Evaluate Hoop stress on thick spherical shell given compressive radial strain?

FAQs on Hoop stress on thick spherical shell given compressive radial strain

Variable Name

GoHoop stress on thick spherical shell given compressive radial strain and Poisson's ratio Formula

GoHoop stress on thick spherical shell given tensile radial strain Formula