Hoop stress on thick spherical shell given tensile 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%
✖Tensile Strain is the ratio of change in length to original length.ⓘ Tensile Strain [ε_tensile]			+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 tensile radial strain and Poisson's ratio [σ_θ]

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Hoop stress on thick spherical shell given tensile 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*Tensile Strain)-Radial Pressure)/(2*Poisson's Ratio)
σ_θ = ((E*ε_tensile)-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.
Tensile Strain - Tensile Strain is the ratio of change in length to original length.
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)
Tensile Strain: 0.6 --> 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_tensile)-P_v)/(2*𝛎) --> ((2600000*0.6)-14000)/(2*0.3)

Evaluating ... ...

σ_θ = 2576666.66666667

STEP 3: Convert Result to Output's Unit

2576666.66666667 Pascal -->2.57666666666667 Megapascal (Check conversion here)

FINAL ANSWER

2.57666666666667 ≈ 2.576667 Megapascal <-- Hoop Stress on thick shell

(Calculation completed in 00.004 seconds)

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< Thick Spherical Shells Calculators

Mass of thick spherical shell given compressive radial strain

LaTeX 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 compressive radial strain

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

Radial pressure on thick spherical shell given compressive radial strain

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

Compressive radial strain for thick spherical shells

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

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

LaTeX Go

Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Tensile Strain)-Radial Pressure)/(2*Poisson's Ratio)
σ_θ = ((E*ε_tensile)-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 tensile radial strain and Poisson's ratio?

Hoop stress on thick spherical shell given tensile radial strain and Poisson's ratio calculator uses Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Tensile Strain)-Radial Pressure)/(2*Poisson's Ratio) to calculate 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 calculate Hoop stress on thick spherical shell given tensile radial strain and Poisson's ratio using this online calculator? To use this online calculator 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. Here is how the Hoop stress on thick spherical shell given tensile radial strain and Poisson's ratio calculation can be explained with given input values -> 2.6E-6 = ((2600000*0.6)-14000)/(2*0.3).

FAQ

What is 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 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 and is represented as σ_θ = ((E*ε_tensile)-P_v)/(2*𝛎) or Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Tensile 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, Tensile Strain is the ratio of change in length to original length, 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 tensile radial strain and Poisson's ratio?

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 is calculated using Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Tensile Strain)-Radial Pressure)/(2*Poisson's Ratio). To calculate Hoop stress on thick spherical shell given tensile radial strain and Poisson's ratio, you need Modulus of Elasticity Of Thick Shell (E), Tensile Strain (ε_tensile), 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, Tensile 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, Tensile Strain, Radial Pressure & Poisson's Ratio. We can use 3 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*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

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