Longitudinal stress given change in radius of thick cylindrical shell Calculator

✖Hoop Stress on thick shell is the circumferential stress in a cylinder.ⓘ Hoop Stress on thick shell [σ_θ]			+10% -10%
✖Change in radius is the change in the radius of thick cylindrical shell due to applied stress.ⓘ Change in radius [Δr]			+10% -10%
✖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%
✖Radius Of Cylindrical Shell is a radial line from the focus to any point of a curve.ⓘ Radius Of Cylindrical Shell [r_{cylindrical shell}]			+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%
✖Compressive Stress Thick Shell is the force that is responsible for the deformation of the material such that the volume of the material reduces.ⓘ Compressive Stress Thick Shell [σ_c]			+10% -10%

✖Longitudinal Stress Thick Shell is defined as the stress produced when a pipe is subjected to internal pressure.ⓘ Longitudinal stress given change in radius of thick cylindrical shell [σ_l]

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Formula

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Longitudinal stress given change in radius of thick cylindrical shell

Formula

`"σ"_{"l"} = (("σ"_{"θ"}-("Δr"*"E"/"r"_{"cylindrical shell"}))/("𝛎"))+"σ"_{"c"}`

Example

`"0.535MPa"=(("0.002MPa"-("20mm"*"2.6MPa"/"8000mm"))/("0.3"))+"0.55MPa"`

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Longitudinal stress given change in radius of thick cylindrical shell Solution

STEP 0: Pre-Calculation Summary

Formula Used

Longitudinal Stress Thick Shell = ((Hoop Stress on thick shell-(Change in radius*Modulus of Elasticity Of Thick Shell/Radius Of Cylindrical Shell))/(Poisson's Ratio))+Compressive Stress Thick Shell
σ_l = ((σ_θ-(Δr*E/r_{cylindrical shell}))/(𝛎))+σ_c
This formula uses 7 Variables

Variables Used

Longitudinal Stress Thick Shell - (Measured in Pascal) - Longitudinal Stress Thick Shell is defined as the stress produced when a pipe is subjected to internal pressure.
Hoop Stress on thick shell - (Measured in Pascal) - Hoop Stress on thick shell is the circumferential stress in a cylinder.
Change in radius - (Measured in Meter) - Change in radius is the change in the radius of thick cylindrical shell due to applied stress.
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.
Radius Of Cylindrical Shell - (Measured in Meter) - Radius Of Cylindrical Shell is a radial line from the focus to any point of a curve.
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.
Compressive Stress Thick Shell - (Measured in Pascal) - Compressive Stress Thick Shell is the force that is responsible for the deformation of the material such that the volume of the material reduces.

STEP 1: Convert Input(s) to Base Unit

Hoop Stress on thick shell: 0.002 Megapascal --> 2000 Pascal (Check conversion here)
Change in radius: 20 Millimeter --> 0.02 Meter (Check conversion here)
Modulus of Elasticity Of Thick Shell: 2.6 Megapascal --> 2600000 Pascal (Check conversion here)
Radius Of Cylindrical Shell: 8000 Millimeter --> 8 Meter (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
Compressive Stress Thick Shell: 0.55 Megapascal --> 550000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_l = ((σ_θ-(Δr*E/r_{cylindrical shell}))/(𝛎))+σ_c --> ((2000-(0.02*2600000/8))/(0.3))+550000

Evaluating ... ...

σ_l = 535000

STEP 3: Convert Result to Output's Unit

535000 Pascal -->0.535 Megapascal (Check conversion here)

FINAL ANSWER

0.535 Megapascal <-- Longitudinal Stress Thick Shell

(Calculation completed in 00.020 seconds)

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Home » Physics » Strength of Materials » Thick Cylinders And Spheres » Stresses in Thick Cylindrical Shell » Longitudinal stress given change in radius of thick cylindrical shell

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< 25 Stresses in Thick Cylindrical Shell Calculators

Poisson's ratio given longitudinal strain in thick cylindrical shell

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

Radius of thick cylindrical shell given stress on cylindrical shell and Poisson's ratio

Go Radius Of Cylindrical Shell = Change in radius/((Hoop Stress on thick shell-(Poisson's Ratio*(Longitudinal Stress Thick Shell-Compressive Stress Thick Shell)))/Modulus of Elasticity Of Thick Shell)

Change in radius of thick cylindrical shell given stresses and poison's ratio

Go Change in radius = Radius Of Cylindrical Shell*((Hoop Stress on thick shell-(Poisson's Ratio*(Longitudinal Stress Thick Shell-Compressive Stress Thick Shell)))/Modulus of Elasticity Of Thick Shell)

Modulus of elasticity given change in radius of thick cylindrical shell

Go Modulus of Elasticity Of Thick Shell = Radius Of Cylindrical Shell*((Hoop Stress on thick shell-(Poisson's Ratio*(Longitudinal Stress Thick Shell-Compressive Stress Thick Shell)))/Change in radius)

Longitudinal stress given change in radius of thick cylindrical shell

Go Longitudinal Stress Thick Shell = ((Hoop Stress on thick shell-(Change in radius*Modulus of Elasticity Of Thick Shell/Radius Of Cylindrical Shell))/(Poisson's Ratio))+Compressive Stress Thick Shell

Compressive stress given change in radius of thick cylindrical shell

Go Compressive Stress Thick Shell = Longitudinal Stress Thick Shell-((Hoop Stress on thick shell-(Change in radius*Modulus of Elasticity Of Thick Shell/Radius Of Cylindrical Shell))/(Poisson's Ratio))

Poisson's ratio given change in radius of thick cylindrical shell

Go Poisson's Ratio = ((Hoop Stress on thick shell-(Change in radius*Modulus of Elasticity Of Thick Shell/Radius Of Cylindrical Shell))/(Longitudinal Stress Thick Shell-Compressive Stress Thick Shell))

Circumferential stress given change in radius of thick cylindrical shell

Go Hoop Stress on thick shell = (Change in radius*Modulus of Elasticity Of Thick Shell/Radius Of Cylindrical Shell)+(Poisson's Ratio*(Longitudinal Stress Thick Shell-Compressive Stress Thick Shell))

Longitudinal stress given circumferential strain in thick cylindrical shell

Go Longitudinal Stress Thick Shell = ((Hoop Stress on thick shell-(Circumferential strain*Modulus of Elasticity Of Thick Shell))/(Poisson's Ratio))+Compressive Stress Thick Shell

Compressive stress given circumferential strain in thick cylindrical shell

Go Compressive Stress Thick Shell = Longitudinal Stress Thick Shell-((Hoop Stress on thick shell-(Circumferential strain*Modulus of Elasticity Of Thick Shell))/(Poisson's Ratio))

Circumferential strain given stresses on cylindrical shell and Poisson's ratio

Go Circumferential strain = (Hoop Stress on thick shell-(Poisson's Ratio*(Longitudinal Stress Thick Shell-Compressive Stress Thick Shell)))/Modulus of Elasticity Of Thick Shell

Circumferential stress given circumferential strain in thick cylindrical shell

Go Hoop Stress on thick shell = (Circumferential strain*Modulus of Elasticity Of Thick Shell)+(Poisson's Ratio*(Longitudinal Stress Thick Shell-Compressive Stress Thick Shell))

Modulus of elasticity given circumferential strain in thick cylindrical shell

Go Modulus of Elasticity Of Thick Shell = (Hoop Stress on thick shell-(Poisson's Ratio*(Longitudinal Stress Thick Shell-Compressive Stress Thick Shell)))/Circumferential strain

Poisson's ratio given circumferential strain in thick cylindrical shell

Go Poisson's Ratio = ((Hoop Stress Thick Shell-(Circumferential strain*Modulus of Elasticity Of Thick Shell))/(Longitudinal Stress Thick Shell-Compressive Stress Thick Shell))

Longitudinal strain given stresses in thick cylindrical shell and Poisson's ratio

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

Circumferential stress given longitudinal strain in thick cylindrical shell

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

Modulus of elasticity given longitudinal strain in thick cylindrical shell

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

Longitudinal stress given longitudinal strain in thick cylindrical shell

Go Longitudinal Stress Thick Shell = (Longitudinal Strain*Modulus of Elasticity Of Thick Shell)+(Poisson's Ratio*(Hoop Stress on thick shell-Compressive Stress Thick Shell))

Compressive stress given longitudinal strain in thick cylindrical shell

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

Circumferential stress given radial strain in thick cylindrical shell

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

Modulus of elasticity given radial strain in thick cylindrical shell

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

Radial strain given stresses on thick cylinder and poisson's ratio

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

Longitudinal stress given radial strain in thick cylindrical shell

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

Compressive stress given radial strain in thick cylindrical shell

Go Compressive Stress Thick Shell = -(Strain*Modulus of Elasticity Of Thick Shell)-(Poisson's Ratio*(Hoop Stress on thick shell+Longitudinal Stress Thick Shell))

Poisson's ratio given radial strain in thick cylindrical shell

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

Longitudinal stress given change in radius of thick cylindrical shell Formula

What is the strain in physics?

Strain is simply the measure of how much an object is stretched or deformed. A strain occurs when force is applied to an object. Strain deals mostly with the change in length of the object.

How to Calculate Longitudinal stress given change in radius of thick cylindrical shell?

Longitudinal stress given change in radius of thick cylindrical shell calculator uses Longitudinal Stress Thick Shell = ((Hoop Stress on thick shell-(Change in radius*Modulus of Elasticity Of Thick Shell/Radius Of Cylindrical Shell))/(Poisson's Ratio))+Compressive Stress Thick Shell to calculate the Longitudinal Stress Thick Shell, The Longitudinal stress given change in radius of thick cylindrical shell formula is defined as the stress produced when a pipe is subjected to internal pressure. Longitudinal Stress Thick Shell is denoted by σ_l symbol.

How to calculate Longitudinal stress given change in radius of thick cylindrical shell using this online calculator? To use this online calculator for Longitudinal stress given change in radius of thick cylindrical shell, enter Hoop Stress on thick shell (σ_θ), Change in radius (Δr), Modulus of Elasticity Of Thick Shell (E), Radius Of Cylindrical Shell (r_{cylindrical shell}), Poisson's Ratio (𝛎) & Compressive Stress Thick Shell (σ_c) and hit the calculate button. Here is how the Longitudinal stress given change in radius of thick cylindrical shell calculation can be explained with given input values -> 5.4E-7 = ((2000-(0.02*2600000/8))/(0.3))+550000.

FAQ

What is Longitudinal stress given change in radius of thick cylindrical shell?

The Longitudinal stress given change in radius of thick cylindrical shell formula is defined as the stress produced when a pipe is subjected to internal pressure and is represented as σ_l = ((σ_θ-(Δr*E/r_{cylindrical shell}))/(𝛎))+σ_c or Longitudinal Stress Thick Shell = ((Hoop Stress on thick shell-(Change in radius*Modulus of Elasticity Of Thick Shell/Radius Of Cylindrical Shell))/(Poisson's Ratio))+Compressive Stress Thick Shell. Hoop Stress on thick shell is the circumferential stress in a cylinder, Change in radius is the change in the radius of thick cylindrical shell due to applied stress, 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, Radius Of Cylindrical Shell is a radial line from the focus to any point of a curve, 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 & Compressive Stress Thick Shell is the force that is responsible for the deformation of the material such that the volume of the material reduces.

How to calculate Longitudinal stress given change in radius of thick cylindrical shell?

The Longitudinal stress given change in radius of thick cylindrical shell formula is defined as the stress produced when a pipe is subjected to internal pressure is calculated using Longitudinal Stress Thick Shell = ((Hoop Stress on thick shell-(Change in radius*Modulus of Elasticity Of Thick Shell/Radius Of Cylindrical Shell))/(Poisson's Ratio))+Compressive Stress Thick Shell. To calculate Longitudinal stress given change in radius of thick cylindrical shell, you need Hoop Stress on thick shell (σ_θ), Change in radius (Δr), Modulus of Elasticity Of Thick Shell (E), Radius Of Cylindrical Shell (r_{cylindrical shell}), Poisson's Ratio (𝛎) & Compressive Stress Thick Shell (σ_c). With our tool, you need to enter the respective value for Hoop Stress on thick shell, Change in radius, Modulus of Elasticity Of Thick Shell, Radius Of Cylindrical Shell, Poisson's Ratio & Compressive Stress Thick 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 Longitudinal Stress Thick Shell?

In this formula, Longitudinal Stress Thick Shell uses Hoop Stress on thick shell, Change in radius, Modulus of Elasticity Of Thick Shell, Radius Of Cylindrical Shell, Poisson's Ratio & Compressive Stress Thick Shell. We can use 3 other way(s) to calculate the same, which is/are as follows -

Longitudinal Stress Thick Shell = ((Hoop Stress on thick shell-(Circumferential strain*Modulus of Elasticity Of Thick Shell))/(Poisson's Ratio))+Compressive Stress Thick Shell
Longitudinal Stress Thick Shell = (Longitudinal Strain*Modulus of Elasticity Of Thick Shell)+(Poisson's Ratio*(Hoop Stress on thick shell-Compressive Stress Thick Shell))
Longitudinal Stress Thick Shell = ((-Compressive Stress Thick Shell-(Strain*Modulus of Elasticity Of Thick Shell))/Poisson's Ratio)-Hoop Stress on thick shell

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