Radial pressure on thick spherical shell given tensile radial strain 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%
✖Mass Of Shell is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass Of Shell [M]			+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 [P_v]

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Formula

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Radial pressure on thick spherical shell given tensile radial strain

Formula

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

Example

`"5.999887MPa/m²"=(("10MPa"*"0.6")-(2*"0.002MPa"/"35.45kg"))`

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Radial pressure on thick spherical shell given tensile radial strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Pressure = ((Adjusted design value*Tensile Strain)-(2*Hoop Stress on thick shell/Mass Of Shell))
P_v = ((F'_c*ε_tensile)-(2*σ_θ/M))
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.
Mass Of Shell - (Measured in Kilogram) - Mass Of Shell is the quantity of matter in a body regardless of its volume or of any forces acting on it.

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)
Mass Of Shell: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_v = ((F'_c*ε_tensile)-(2*σ_θ/M)) --> ((10000000*0.6)-(2*2000/35.45))

Evaluating ... ...

P_v = 5999887.16502116

STEP 3: Convert Result to Output's Unit

5999887.16502116 Pascal per Square Meter -->5.99988716502116 Megapascal per Square Meter (Check conversion here)

FINAL ANSWER

5.99988716502116 ≈ 5.999887 Megapascal per Square Meter <-- Radial Pressure

(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)

Radial pressure on thick spherical shell given tensile radial strain Formula

Radial Pressure = ((Adjusted design value*Tensile Strain)-(2*Hoop Stress on thick shell/Mass Of Shell))
P_v = ((F'_c*ε_tensile)-(2*σ_θ/M))

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?

Radial pressure on thick spherical shell given tensile radial strain calculator uses Radial Pressure = ((Adjusted design value*Tensile Strain)-(2*Hoop Stress on thick shell/Mass Of Shell)) to calculate the Radial Pressure, Radial pressure on thick spherical shell given tensile radial strain 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 using this online calculator? To use this online calculator for Radial pressure on thick spherical shell given tensile radial strain, enter Adjusted design value (F'_c), Tensile Strain (ε_tensile), Hoop Stress on thick shell (σ_θ) & Mass Of Shell (M) and hit the calculate button. Here is how the Radial pressure on thick spherical shell given tensile radial strain calculation can be explained with given input values -> 6E-6 = ((10000000*0.6)-(2*2000/35.45)).

FAQ

What is Radial pressure on thick spherical shell given tensile radial strain?

Radial pressure on thick spherical shell given tensile radial strain 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/M)) or Radial Pressure = ((Adjusted design value*Tensile Strain)-(2*Hoop Stress on thick shell/Mass Of Shell)). 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 & Mass Of Shell is the quantity of matter in a body regardless of its volume or of any forces acting on it.

How to calculate Radial pressure on thick spherical shell given tensile radial strain?

Radial pressure on thick spherical shell given tensile radial strain 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/Mass Of Shell)). To calculate Radial pressure on thick spherical shell given tensile radial strain, you need Adjusted design value (F'_c), Tensile Strain (ε_tensile), Hoop Stress on thick shell (σ_θ) & Mass Of Shell (M). With our tool, you need to enter the respective value for Adjusted design value, Tensile Strain, Hoop Stress on thick shell & Mass Of Shell 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 & Mass Of Shell. 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*Poisson's Ratio)
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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