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

✖Change in radius is the change in the radius of thick cylindrical shell due to applied stress.ⓘ Change in radius [Δr]			+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%

✖Radius Of Cylindrical Shell is a radial line from the focus to any point of a curve.ⓘ Radius of thick cylindrical shell given stress on cylindrical shell and Poisson's ratio [r_{cylindrical shell}]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

Change in radius: 20 Millimeter --> 0.02 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

r_{cylindrical shell} = Δr/((σ_θ-(𝛎*(σ_l-σ_c)))/E) --> 0.02/((2000-(0.3*(80000-550000)))/2600000)

Evaluating ... ...

r_{cylindrical shell} = 0.363636363636364

STEP 3: Convert Result to Output's Unit

0.363636363636364 Meter -->363.636363636364 Millimeter (Check conversion here)

FINAL ANSWER

363.636363636364 ≈ 363.6364 Millimeter <-- Radius Of Cylindrical 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))

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

LaTeX Go

What is radial stress in cylinder?

The radial stress for a thick-walled cylinder is equal and opposite to the gauge pressure on the inside surface, and zero on the outside surface. The circumferential stress and longitudinal stresses are usually much larger for pressure vessels, and so for thin-walled instances, radial stress is usually neglected.

How to Calculate Radius of thick cylindrical shell given stress on cylindrical shell and Poisson's ratio?

Radius of thick cylindrical shell given stress on cylindrical shell and Poisson's ratio calculator uses 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) to calculate the Radius Of Cylindrical Shell, The Radius of thick cylindrical shell given stress on cylindrical shell and Poisson's ratio formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface. Radius Of Cylindrical Shell is denoted by r_{cylindrical shell} symbol.

How to calculate Radius of thick cylindrical shell given stress on cylindrical shell and Poisson's ratio using this online calculator? To use this online calculator for Radius of thick cylindrical shell given stress on cylindrical shell and Poisson's ratio, enter Change in radius (Δr), 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 Radius of thick cylindrical shell given stress on cylindrical shell and Poisson's ratio calculation can be explained with given input values -> 363636.4 = 0.02/((2000-(0.3*(80000-550000)))/2600000).

FAQ

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

The Radius of thick cylindrical shell given stress on cylindrical shell and Poisson's ratio formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface and is represented as r_{cylindrical shell} = Δr/((σ_θ-(𝛎*(σ_l-σ_c)))/E) or 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 is the change in the radius of thick cylindrical shell due to applied stress, 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 Radius of thick cylindrical shell given stress on cylindrical shell and Poisson's ratio?

The Radius of thick cylindrical shell given stress on cylindrical shell and Poisson's ratio formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface is calculated using 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). To calculate Radius of thick cylindrical shell given stress on cylindrical shell and Poisson's ratio, you need Change in radius (Δr), 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 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 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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