Circumferential stress given change in radius of thick cylindrical shell Calculator

✖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%
✖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%

✖Hoop Stress on thick shell is the circumferential stress in a cylinder.ⓘ Circumferential stress given change in radius of thick cylindrical shell [σ_θ]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

Circumferential stress given change in radius of thick cylindrical shell Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

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
Longitudinal Stress Thick Shell: 0.08 Megapascal --> 80000 Pascal (Check conversion here)
Compressive Stress Thick Shell: 0.55 Megapascal --> 550000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_θ = (Δr*E/r_{cylindrical shell})+(𝛎*(σ_l-σ_c)) --> (0.02*2600000/8)+(0.3*(80000-550000))

Evaluating ... ...

σ_θ = -134500

STEP 3: Convert Result to Output's Unit

-134500 Pascal -->-0.1345 Megapascal (Check conversion here)

FINAL ANSWER

-0.1345 Megapascal <-- Hoop Stress on thick shell

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 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))

Circumferential 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 Circumferential stress given change in radius of thick cylindrical shell?

Circumferential stress given change in radius of thick cylindrical shell calculator uses 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)) to calculate the Hoop Stress on thick shell, Circumferential stress given change in radius of thick cylindrical shell formula is defined as a normal stress in the tangential (azimuth) direction. axial stress, a normal stress parallel to the axis of cylindrical symmetry. Hoop Stress on thick shell is denoted by σ_θ symbol.

How to calculate Circumferential stress given change in radius of thick cylindrical shell using this online calculator? To use this online calculator for Circumferential stress given change in radius of thick cylindrical shell, enter Change in radius (Δr), Modulus of Elasticity Of Thick Shell (E), Radius Of Cylindrical Shell (r_{cylindrical shell}), Poisson's Ratio (𝛎), Longitudinal Stress Thick Shell (σ_l) & Compressive Stress Thick Shell (σ_c) and hit the calculate button. Here is how the Circumferential stress given change in radius of thick cylindrical shell calculation can be explained with given input values -> -1.3E-7 = (0.02*2600000/8)+(0.3*(80000-550000)).

FAQ

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

Circumferential stress given change in radius of thick cylindrical shell formula is defined as a normal stress in the tangential (azimuth) direction. axial stress, a normal stress parallel to the axis of cylindrical symmetry and is represented as σ_θ = (Δr*E/r_{cylindrical shell})+(𝛎*(σ_l-σ_c)) or 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)). 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, 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.

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

Circumferential stress given change in radius of thick cylindrical shell formula is defined as a normal stress in the tangential (azimuth) direction. axial stress, a normal stress parallel to the axis of cylindrical symmetry is calculated using 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)). To calculate Circumferential stress given change in radius of thick cylindrical shell, you need Change in radius (Δr), Modulus of Elasticity Of Thick Shell (E), Radius Of Cylindrical Shell (r_{cylindrical shell}), Poisson's Ratio (𝛎), Longitudinal Stress Thick Shell (σ_l) & Compressive Stress Thick Shell (σ_c). With our tool, you need to enter the respective value for Change in radius, Modulus of Elasticity Of Thick Shell, Radius Of Cylindrical Shell, Poisson's Ratio, Longitudinal Stress Thick Shell & 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 Hoop Stress on thick shell?

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

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

Home

FREE PDFs

🔍 Search