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

✖Adjusted design value for compression corrects the design value by using some factor.ⓘ Adjusted design value [F'_c]			+10% -10%
✖Tensile Strain is the ratio of change in length to original length.ⓘ Tensile Strain [ε_tensile]			+10% -10%
✖Hoop Stress on thick shell is the circumferential stress in a cylinder.ⓘ Hoop Stress on thick shell [σ_θ]			+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%

✖Radial Pressure is pressure towards or away from the central axis of a component.ⓘ Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio [P_v]

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Formula

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

Formula

`"P"_{"v"} = ("F'"_{"c"}*"ε"_{"tensile"})-(2*"σ"_{"θ"}*"𝛎")`

Example

`"5.9988MPa/m²"=("10MPa"*"0.6")-(2*"0.002MPa"*"0.3")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Radial Pressure = (Adjusted design value*Tensile Strain)-(2*Hoop Stress on thick shell*Poisson's Ratio)
P_v = (F'_c*ε_tensile)-(2*σ_θ*𝛎)
This formula uses 5 Variables

Variables Used

Radial Pressure - (Measured in Pascal per Square Meter) - Radial Pressure is pressure towards or away from the central axis of a component.
Adjusted design value - (Measured in Pascal) - Adjusted design value for compression corrects the design value by using some factor.
Tensile Strain - Tensile Strain is the ratio of change in length to original length.
Hoop Stress on thick shell - (Measured in Pascal) - Hoop Stress on thick shell is the circumferential stress in a cylinder.
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

Adjusted design value: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Tensile Strain: 0.6 --> No Conversion Required
Hoop Stress on thick shell: 0.002 Megapascal --> 2000 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_v = (F'_c*ε_tensile)-(2*σ_θ*𝛎) --> (10000000*0.6)-(2*2000*0.3)

Evaluating ... ...

P_v = 5998800

STEP 3: Convert Result to Output's Unit

5998800 Pascal per Square Meter -->5.9988 Megapascal per Square Meter (Check conversion here)

FINAL ANSWER

5.9988 Megapascal per Square Meter <-- Radial Pressure

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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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)

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

Radial Pressure = (Adjusted design value*Tensile Strain)-(2*Hoop Stress on thick shell*Poisson's Ratio)
P_v = (F'_c*ε_tensile)-(2*σ_θ*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 Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio?

Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio calculator uses Radial Pressure = (Adjusted design value*Tensile Strain)-(2*Hoop Stress on thick shell*Poisson's Ratio) to calculate the Radial Pressure, Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio is a stress towards or away from the central axis of a component. Radial Pressure is denoted by P_v symbol.

How to calculate Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio using this online calculator? To use this online calculator for Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio, enter Adjusted design value (F'_c), Tensile Strain (ε_tensile), Hoop Stress on thick shell (σ_θ) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio calculation can be explained with given input values -> 6E-6 = (10000000*0.6)-(2*2000*0.3).

FAQ

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

Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio is a stress towards or away from the central axis of a component and is represented as P_v = (F'_c*ε_tensile)-(2*σ_θ*𝛎) or Radial Pressure = (Adjusted design value*Tensile Strain)-(2*Hoop Stress on thick shell*Poisson's Ratio). Adjusted design value for compression corrects the design value by using some factor, Tensile Strain is the ratio of change in length to original length, Hoop Stress on thick shell is the circumferential stress in a cylinder & 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 Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio?

Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio is a stress towards or away from the central axis of a component is calculated using Radial Pressure = (Adjusted design value*Tensile Strain)-(2*Hoop Stress on thick shell*Poisson's Ratio). To calculate Radial pressure on thick spherical shell given tensile radial strain and Poisson's ratio, you need Adjusted design value (F'_c), Tensile Strain (ε_tensile), Hoop Stress on thick shell (σ_θ) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Adjusted design value, Tensile Strain, Hoop Stress on thick shell & 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 Radial Pressure?

In this formula, Radial Pressure uses Adjusted design value, Tensile Strain, Hoop Stress on thick shell & Poisson's Ratio. We can use 4 other way(s) to calculate the same, which is/are as follows -

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))
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

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