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

✖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%
✖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%
✖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%
✖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%
✖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%

✖Change in radius is the change in the radius of thick cylindrical shell due to applied stress.ⓘ Change in radius of thick cylindrical shell given stresses and poison's ratio [Δr]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Change in radius - (Measured in Meter) - Change in radius is the change in the radius of thick cylindrical shell due to applied stress.
Radius Of Cylindrical Shell - (Measured in Meter) - Radius Of Cylindrical Shell is a radial line from the focus to any point of a curve.
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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Radius Of Cylindrical Shell: 8000 Millimeter --> 8 Meter (Check conversion here)
Hoop Stress on thick shell: 0.002 Megapascal --> 2000 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
Longitudinal Stress Thick Shell: 0.08 Megapascal --> 80000 Pascal (Check conversion here)
Compressive Stress Thick Shell: 0.55 Megapascal --> 550000 Pascal (Check conversion here)
Modulus of Elasticity Of Thick Shell: 2.6 Megapascal --> 2600000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δr = r_{cylindrical shell}*((σ_θ-(𝛎*(σ_l-σ_c)))/E) --> 8*((2000-(0.3*(80000-550000)))/2600000)

Evaluating ... ...

Δr = 0.44

STEP 3: Convert Result to Output's Unit

0.44 Meter -->440 Millimeter (Check conversion here)

FINAL ANSWER

440 Millimeter <-- Change in radius

(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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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))

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

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

Change in radius of thick cylindrical shell given stresses and poison's ratio calculator uses 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) to calculate the Change in radius, Change in radius of thick cylindrical shell given stresses and poison's ratio formula is defined as the change in radial length of the cylindrical shell due to stress on the cylinder. Change in radius is denoted by Δr symbol.

How to calculate Change in radius of thick cylindrical shell given stresses and poison's ratio using this online calculator? To use this online calculator for Change in radius of thick cylindrical shell given stresses and poison's ratio, enter Radius Of Cylindrical Shell (r_{cylindrical shell}), Hoop Stress on thick shell (σ_θ), Poisson's Ratio (𝛎), Longitudinal Stress Thick Shell (σ_l), Compressive Stress Thick Shell (σ_c) & Modulus of Elasticity Of Thick Shell (E) and hit the calculate button. Here is how the Change in radius of thick cylindrical shell given stresses and poison's ratio calculation can be explained with given input values -> 440000 = 8*((2000-(0.3*(80000-550000)))/2600000).

FAQ

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

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

How to calculate Change in radius of thick cylindrical shell given stresses and poison's ratio?

Change in radius of thick cylindrical shell given stresses and poison's ratio formula is defined as the change in radial length of the cylindrical shell due to stress on the cylinder is calculated using 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). To calculate Change in radius of thick cylindrical shell given stresses and poison's ratio, you need Radius Of Cylindrical Shell (r_{cylindrical shell}), Hoop Stress on thick shell (σ_θ), Poisson's Ratio (𝛎), Longitudinal Stress Thick Shell (σ_l), Compressive Stress Thick Shell (σ_c) & Modulus of Elasticity Of Thick Shell (E). With our tool, you need to enter the respective value for 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 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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