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

GoHoop 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

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

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

σ_θ - Hoop Stress on thick shell?E - Modulus of Elasticity Of Thick Shell?ε_tensile - Tensile Strain?P_v - Radial Pressure?𝛎 - Poisson's Ratio?

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

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

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

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

2.5767 = \frac{(2.6 \cdot 0.6) - 0.014}{2 \cdot 0.3}

2.5767MPa = \frac{(2.6MPa \cdot 0.6) - 0.014MPa/m²}{2 \cdot 0.3}

2.5767 = \frac{(2.6 \cdot 0.6) - 0.014}{2 \cdot 0.3}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ θ = \frac{(2.6MPa \cdot 0.6) - 0.014MPa/m²}{2 \cdot 0.3}

Next Step Convert Units

∴

σ θ = \frac{(2.6E+6Pa \cdot 0.6) - 14000Pa/m²}{2 \cdot 0.3}

Next Step Prepare to Evaluate

∴

σ θ = \frac{(2.6E+6 \cdot 0.6) - 14000}{2 \cdot 0.3}

Next Step Evaluate

∴

σ θ = 2576666.66666667Pa

Next Step Convert to Output's Unit

∴

σ θ = 2.57666666666667MPa

LAST Step Rounding Answer

∴

σ θ = 2.5767MPa

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

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

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 Hoop Stress on thick shell

Go Hoop stress on thick spherical shell given compressive radial strain

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

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 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 tensile radial strain and Poisson's ratio?

Hoop stress on thick spherical shell given tensile radial strain and Poisson's ratio evaluator uses Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Tensile Strain)-Radial Pressure)/(2*Poisson's Ratio) to evaluate the Hoop Stress on thick shell, Hoop stress on thick spherical shell given tensile radial strain and Poisson's ratio formula is defined as a method to evaluate the internal stress experienced by a thick spherical shell under radial strain. It accounts for material properties such as elasticity and the effects of lateral contraction. Hoop Stress on thick shell is denoted by σ_θ symbol.

How to evaluate Hoop stress on thick spherical shell given tensile radial strain and Poisson's ratio using this online evaluator? To use this online evaluator for Hoop stress on thick spherical shell given tensile radial strain and Poisson's ratio, enter Modulus of Elasticity Of Thick Shell (E), Tensile Strain (ε_tensile), Radial Pressure (P_v) & Poisson's Ratio (𝛎) and hit the calculate button.

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

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

The formula of Hoop stress on thick spherical shell given tensile radial strain and Poisson's ratio is expressed as Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Tensile Strain)-Radial Pressure)/(2*Poisson's Ratio). Here is an example- 2.6E-6 = ((2600000*0.6)-14000)/(2*0.3).

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

With Modulus of Elasticity Of Thick Shell (E), Tensile Strain (ε_tensile), Radial Pressure (P_v) & Poisson's Ratio (𝛎) we can find Hoop stress on thick spherical shell given tensile radial strain and Poisson's ratio using the formula - Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Tensile Strain)-Radial Pressure)/(2*Poisson's Ratio).

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)*Mass Of Shell/2
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

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

No, the Hoop stress on thick spherical shell given tensile radial strain and Poisson's ratio, measured in Stress cannot be negative.

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

Hoop stress on thick spherical shell given tensile radial strain and Poisson's ratio 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 tensile radial strain and Poisson's ratio can be measured.

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

​GoHoop 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

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

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

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

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

Variable Name

GoHoop 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