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

✖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.ⓘ Modulus of Elasticity Of Thick Shell [E]			+10% -10%
✖The Compressive Strain is the ratio of change in length to the original length of the body when subjected to a compressive load.ⓘ Compressive Strain [ε_compressive]			+10% -10%
✖Radial Pressure is pressure towards or away from the central axis of a component.ⓘ Radial Pressure [P_v]			+10% -10%
✖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.ⓘ Poisson's Ratio [𝛎]			+10% -10%

✖Hoop Stress on thick shell is the circumferential stress in a cylinder.ⓘ Hoop stress on thick spherical shell given compressive radial strain and Poisson's ratio [σ_θ]

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Formula

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

Formula

`"σ"_{"θ"} = (("E"*"ε"_{"compressive"})-"P"_{"v"})/(2*"𝛎")`

Example

`"0.41MPa"=(("2.6MPa"*"0.1")-"0.014MPa/m²")/(2*"0.3")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure)/(2*Poisson's Ratio)
σ_θ = ((E*ε_compressive)-P_v)/(2*𝛎)
This formula uses 5 Variables

Variables Used

Hoop Stress on thick shell - (Measured in Pascal) - Hoop Stress on thick shell is the circumferential stress in a cylinder.
Modulus of Elasticity Of Thick Shell - (Measured in Pascal) - 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.
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.
Radial Pressure - (Measured in Pascal per Square Meter) - Radial Pressure is pressure towards or away from the central axis of a component.
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.

STEP 1: Convert Input(s) to Base Unit

Modulus of Elasticity Of Thick Shell: 2.6 Megapascal --> 2600000 Pascal (Check conversion here)
Compressive Strain: 0.1 --> No Conversion Required
Radial Pressure: 0.014 Megapascal per Square Meter --> 14000 Pascal per Square Meter (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_θ = ((E*ε_compressive)-P_v)/(2*𝛎) --> ((2600000*0.1)-14000)/(2*0.3)

Evaluating ... ...

σ_θ = 410000

STEP 3: Convert Result to Output's Unit

410000 Pascal -->0.41 Megapascal (Check conversion here)

FINAL ANSWER

0.41 Megapascal <-- Hoop Stress on thick shell

(Calculation completed in 00.004 seconds)

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< 24 Thick Spherical Shells Calculators

Hoop stress given tensile circumferential strain for thick spherical shell

Go Hoop Stress on thick shell = ((Circumferential strain*Modulus of Elasticity Of Thick Shell)-(Radial Pressure/Mass Of Shell))/((Mass Of Shell-1)/Mass Of Shell)

Radial pressure given tensile circumferential strain for thick spherical shell

Go 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

Modulus of elasticity given tensile circumferential strain for thick spherical shell

Go Adjusted design value = (Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell)+(Radial Pressure/Mass Of Shell))/Circumferential strain

Tensile circumferential strain for thick spherical shell

Go Circumferential strain = (Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell)+(Radial Pressure/Mass Of Shell))/Adjusted design value

Poisson's ratio for thick spherical shell given compressive radial strain

Go Poisson's Ratio = 1/((2*Hoop Stress on thick shell)/((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure))

Poisson's Ratio for Thick Spherical Shell given Tensile Radial Strain

Go Poisson's Ratio = (1/(2*Hoop Stress on thick shell))*((-Modulus of Elasticity Of Thick Shell*Tensile Strain)-Radial Pressure)

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

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

Mass of thick spherical shell given compressive radial strain

Go Mass Of Shell = (2*Hoop Stress on thick shell)/((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure)

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

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

Hoop stress on thick spherical shell given compressive radial strain

Go Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure)*Mass Of Shell/2

Mass of thick spherical shell given tensile radial strain

Go Mass Of Shell = (2*Hoop Stress on thick shell)/((Modulus of Elasticity Of Thick Shell*Tensile Strain)-Radial Pressure)

Hoop stress on thick spherical shell given tensile radial strain

Go Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Tensile Strain)-Radial Pressure)*Mass Of Shell/2

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

Go Radial Pressure = (Adjusted design value*Compressive Strain)-(2*Hoop Stress on thick shell*Poisson's Ratio)

Compressive radial strain given Poisson's ratio for thick spherical shell

Go Compressive Strain = (Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Adjusted design value

Modulus of elasticity given compressive radial strain and Poisson's ratio

Go Adjusted design value = (Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Compressive Strain

Modulus of elasticity for thick spherical shell given compressive radial strain

Go Adjusted design value = (Radial Pressure+(2*Hoop Stress on thick shell/Mass Of Shell))/Compressive Strain

Radial pressure on thick spherical shell given compressive radial strain

Go Radial Pressure = (Adjusted design value*Compressive Strain)-(2*Hoop Stress on thick shell/Mass Of Shell)

Tensile radial strain given Poisson's ratio for thick spherical shell

Go Tensile Strain = ((Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Adjusted design value)

Modulus of elasticity given tensile radial strain and Poisson's ratio

Go Adjusted design value = ((Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Tensile Strain)

Compressive radial strain for thick spherical shells

Go Compressive Strain = (Radial Pressure+(2*Hoop Stress on thick shell/Mass Of Shell))/Adjusted design value

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

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

Modulus of elasticity thick spherical shell given tensile radial strain

Go Adjusted design value = ((Radial Pressure+(2*Hoop Stress on thick shell/Mass Of Shell))/Tensile Strain)

Radial pressure on thick spherical shell given tensile radial strain

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

Tensile radial strain for thick spherical shell

Go Tensile Strain = ((Radial Pressure+(2*Hoop Stress on thick shell/Mass Of Shell))/Adjusted design value)

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

Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure)/(2*Poisson's Ratio)
σ_θ = ((E*ε_compressive)-P_v)/(2*𝛎)

What is meant by hoop stress?

The hoop stress is the force over the area exerted circumferentially (perpendicular to the axis and the radius of the object) in both directions on every particle in the cylinder wall.

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

Hoop stress on thick spherical shell given compressive radial strain and Poisson's ratio calculator uses Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure)/(2*Poisson's Ratio) to calculate the Hoop Stress on thick shell, The Hoop stress on thick spherical shell given compressive radial strain and Poisson's ratio formula is defined as the force over area exerted circumferentially (perpendicular to the axis and the radius of the object) in both directions on every particle in the cylinder wall. Hoop Stress on thick shell is denoted by σ_θ symbol.

How to calculate Hoop stress on thick spherical shell given compressive radial strain and Poisson's ratio using this online calculator? To use this online calculator for Hoop stress on thick spherical shell given compressive radial strain and Poisson's ratio, enter Modulus of Elasticity Of Thick Shell (E), Compressive Strain (ε_compressive), Radial Pressure (P_v) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Hoop stress on thick spherical shell given compressive radial strain and Poisson's ratio calculation can be explained with given input values -> 4.1E-7 = ((2600000*0.1)-14000)/(2*0.3).

FAQ

What is Hoop stress on thick spherical shell given compressive radial strain and Poisson's ratio?

The Hoop stress on thick spherical shell given compressive radial strain and Poisson's ratio formula is defined as the force over area exerted circumferentially (perpendicular to the axis and the radius of the object) in both directions on every particle in the cylinder wall and is represented as σ_θ = ((E*ε_compressive)-P_v)/(2*𝛎) or Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure)/(2*Poisson's Ratio). 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, The Compressive Strain is the ratio of change in length to the original length of the body when subjected to a compressive load, Radial Pressure is pressure towards or away from the central axis of a component & 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.

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

The Hoop stress on thick spherical shell given compressive radial strain and Poisson's ratio formula is defined as the force over area exerted circumferentially (perpendicular to the axis and the radius of the object) in both directions on every particle in the cylinder wall is calculated using Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure)/(2*Poisson's Ratio). To calculate Hoop stress on thick spherical shell given compressive radial strain and Poisson's ratio, you need Modulus of Elasticity Of Thick Shell (E), Compressive Strain (ε_compressive), Radial Pressure (P_v) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Modulus of Elasticity Of Thick Shell, Compressive Strain, Radial Pressure & Poisson's Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Hoop Stress on thick shell?

In this formula, Hoop Stress on thick shell uses Modulus of Elasticity Of Thick Shell, Compressive Strain, Radial Pressure & Poisson's Ratio. We can use 4 other way(s) to calculate the same, which is/are as follows -

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*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)
Hoop Stress on thick shell = ((Circumferential strain*Modulus of Elasticity Of Thick Shell)-(Radial Pressure/Mass Of Shell))/((Mass Of Shell-1)/Mass Of Shell)

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