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

✖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%

✖Circumferential strain represents the change in length.ⓘ Circumferential strain given stresses on cylindrical shell and Poisson's ratio [e₁]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

Circumferential Strain = (Hoop Stress on thick shell-(Poisson's Ratio*(Longitudinal Stress Thick Shell-Compressive Stress Thick Shell)))/Modulus of Elasticity Of Thick Shell
e₁ = (σ_θ-(𝛎*(σ_l-σ_c)))/E
This formula uses 6 Variables

Variables Used

Circumferential Strain - Circumferential strain represents the change in length.
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

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

e₁ = (σ_θ-(𝛎*(σ_l-σ_c)))/E --> (2000-(0.3*(80000-550000)))/2600000

Evaluating ... ...

e₁ = 0.055

STEP 3: Convert Result to Output's Unit

0.055 --> No Conversion Required

FINAL ANSWER

0.055 <-- Circumferential Strain

(Calculation completed in 00.020 seconds)

You are here -

Home » Physics » Strength of Materials » Thick Cylinders And Spheres » Mechanical » Stresses in Thick Cylindrical Shell » Circumferential strain given stresses on cylindrical shell and Poisson's ratio

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

Circumferential strain given stresses on cylindrical shell and Poisson's ratio calculator uses Circumferential Strain = (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 Circumferential Strain, The Circumferential strain given stresses on cylindrical shell and Poisson's ratio formula represents the change in length. Circumferential Strain is denoted by e₁ symbol.

How to calculate Circumferential strain given stresses on cylindrical shell and Poisson's ratio using this online calculator? To use this online calculator for Circumferential strain given stresses on cylindrical shell and Poisson's ratio, enter 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 Circumferential strain given stresses on cylindrical shell and Poisson's ratio calculation can be explained with given input values -> 0.055 = (2000-(0.3*(80000-550000)))/2600000.

FAQ

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

The Circumferential strain given stresses on cylindrical shell and Poisson's ratio formula represents the change in length and is represented as e₁ = (σ_θ-(𝛎*(σ_l-σ_c)))/E or Circumferential Strain = (Hoop Stress on thick shell-(Poisson's Ratio*(Longitudinal Stress Thick Shell-Compressive Stress Thick Shell)))/Modulus of Elasticity Of Thick Shell. 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 Circumferential strain given stresses on cylindrical shell and Poisson's ratio?

The Circumferential strain given stresses on cylindrical shell and Poisson's ratio formula represents the change in length is calculated using Circumferential Strain = (Hoop Stress on thick shell-(Poisson's Ratio*(Longitudinal Stress Thick Shell-Compressive Stress Thick Shell)))/Modulus of Elasticity Of Thick Shell. To calculate Circumferential strain given stresses on cylindrical shell and Poisson's ratio, you need 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 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.

Home

FREE PDFs

🔍 Search