Compressive stress given change in radius of thick cylindrical shell Calculator

✖Longitudinal Stress Thick Shell is defined as the stress produced when a pipe is subjected to internal pressure.ⓘ Longitudinal Stress Thick Shell [σ_l]			+10% -10%
✖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 given change in radius of thick cylindrical shell [σ_c]

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Compressive stress given change in radius of thick cylindrical shell Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
σ_c = σ_l-((σ_θ-(Δr*E/r_{cylindrical shell}))/(𝛎))
This formula uses 7 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Longitudinal Stress Thick Shell: 0.08 Megapascal --> 80000 Pascal (Check conversion here)
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_c = σ_l-((σ_θ-(Δr*E/r_{cylindrical shell}))/(𝛎)) --> 80000-((2000-(0.02*2600000/8))/(0.3))

Evaluating ... ...

σ_c = 95000

STEP 3: Convert Result to Output's Unit

95000 Pascal -->0.095 Megapascal (Check conversion here)

FINAL ANSWER

0.095 Megapascal <-- Compressive Stress Thick Shell

(Calculation completed in 00.004 seconds)

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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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< Stresses in Thick Cylindrical Shell Calculators

Longitudinal stress given circumferential strain in thick cylindrical shell

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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))

Compressive stress given change in radius of thick cylindrical shell Formula

LaTeX Go

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 Compressive stress given change in radius of thick cylindrical shell?

Compressive stress given change in radius of thick cylindrical shell calculator uses 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)) to calculate the Compressive Stress Thick Shell, The Compressive stress given change in radius of thick cylindrical shell formula is defined as the force that is responsible for the deformation of the material such that the volume of the material reduces. Compressive Stress Thick Shell is denoted by σ_c symbol.

How to calculate Compressive stress given change in radius of thick cylindrical shell using this online calculator? To use this online calculator for Compressive stress given change in radius of thick cylindrical shell, enter Longitudinal Stress Thick Shell (σ_l), 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) and hit the calculate button. Here is how the Compressive stress given change in radius of thick cylindrical shell calculation can be explained with given input values -> 9.5E-8 = 80000-((2000-(0.02*2600000/8))/(0.3)).

FAQ

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

The Compressive stress given change in radius of thick cylindrical shell formula is defined as the force that is responsible for the deformation of the material such that the volume of the material reduces and is represented as σ_c = σ_l-((σ_θ-(Δr*E/r_{cylindrical shell}))/(𝛎)) or 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)). Longitudinal Stress Thick Shell is defined as the stress produced when a pipe is subjected to internal pressure, 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.

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

The Compressive stress given change in radius of thick cylindrical shell formula is defined as the force that is responsible for the deformation of the material such that the volume of the material reduces is calculated using 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)). To calculate Compressive stress given change in radius of thick cylindrical shell, you need Longitudinal Stress Thick Shell (σ_l), 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). With our tool, you need to enter the respective value for 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 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 Compressive Stress Thick Shell?

In this formula, Compressive Stress Thick Shell 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. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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