Longitudinal stress given radial strain in thick cylindrical shell Calculator

✖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%
✖Strain is simply the measure of how much an object is stretched or deformed.ⓘ Strain [ε]			+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%
✖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%
✖Hoop Stress on thick shell is the circumferential stress in a cylinder.ⓘ Hoop Stress on thick shell [σ_θ]			+10% -10%

✖Longitudinal Stress Thick Shell is defined as the stress produced when a pipe is subjected to internal pressure.ⓘ Longitudinal stress given radial strain in thick cylindrical shell [σ_l]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

Longitudinal stress given radial strain in thick cylindrical shell Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Strain - Strain is simply the measure of how much an object is stretched or deformed.
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.
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.
Hoop Stress on thick shell - (Measured in Pascal) - Hoop Stress on thick shell is the circumferential stress in a cylinder.

STEP 1: Convert Input(s) to Base Unit

Compressive Stress Thick Shell: 0.55 Megapascal --> 550000 Pascal (Check conversion here)
Strain: 0.75 --> No Conversion Required
Modulus of Elasticity Of Thick Shell: 2.6 Megapascal --> 2600000 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
Hoop Stress on thick shell: 0.002 Megapascal --> 2000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_l = ((-σ_c-(ε*E))/𝛎)-σ_θ --> ((-550000-(0.75*2600000))/0.3)-2000

Evaluating ... ...

σ_l = -8335333.33333333

STEP 3: Convert Result to Output's Unit

-8335333.33333333 Pascal -->-8.33533333333333 Megapascal (Check conversion here)

FINAL ANSWER

-8.33533333333333 ≈ -8.335333 Megapascal <-- Longitudinal Stress Thick Shell

(Calculation completed in 00.020 seconds)

You are here -

Home » Physics » Strength of Materials » Thick Cylinders And Spheres » Mechanical » Stresses in Thick Cylindrical Shell » Longitudinal stress given radial strain in 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))

Longitudinal stress given radial strain in thick cylindrical shell Formula

LaTeX Go

Longitudinal Stress Thick Shell = ((-Compressive Stress Thick Shell-(Strain*Modulus of Elasticity Of Thick Shell))/Poisson's Ratio)-Hoop Stress on thick shell
σ_l = ((-σ_c-(ε*E))/𝛎)-σ_θ

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 Longitudinal stress given radial strain in thick cylindrical shell?

Longitudinal stress given radial strain in thick cylindrical shell calculator uses Longitudinal Stress Thick Shell = ((-Compressive Stress Thick Shell-(Strain*Modulus of Elasticity Of Thick Shell))/Poisson's Ratio)-Hoop Stress on thick shell to calculate the Longitudinal Stress Thick Shell, The Longitudinal stress given radial strain in thick cylindrical shell formula is defined as the stress produced when a pipe is subjected to internal pressure. Longitudinal Stress Thick Shell is denoted by σ_l symbol.

How to calculate Longitudinal stress given radial strain in thick cylindrical shell using this online calculator? To use this online calculator for Longitudinal stress given radial strain in thick cylindrical shell, enter Compressive Stress Thick Shell (σ_c), Strain (ε), Modulus of Elasticity Of Thick Shell (E), Poisson's Ratio (𝛎) & Hoop Stress on thick shell (σ_θ) and hit the calculate button. Here is how the Longitudinal stress given radial strain in thick cylindrical shell calculation can be explained with given input values -> -8.3E-6 = ((-550000-(0.75*2600000))/0.3)-2000.

FAQ

What is Longitudinal stress given radial strain in thick cylindrical shell?

The Longitudinal stress given radial strain in thick cylindrical shell formula is defined as the stress produced when a pipe is subjected to internal pressure and is represented as σ_l = ((-σ_c-(ε*E))/𝛎)-σ_θ or Longitudinal Stress Thick Shell = ((-Compressive Stress Thick Shell-(Strain*Modulus of Elasticity Of Thick Shell))/Poisson's Ratio)-Hoop Stress on thick shell. Compressive Stress Thick Shell is the force that is responsible for the deformation of the material such that the volume of the material reduces, Strain is simply the measure of how much an object is stretched or deformed, 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, 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 & Hoop Stress on thick shell is the circumferential stress in a cylinder.

How to calculate Longitudinal stress given radial strain in thick cylindrical shell?

The Longitudinal stress given radial strain in thick cylindrical shell formula is defined as the stress produced when a pipe is subjected to internal pressure is calculated using Longitudinal Stress Thick Shell = ((-Compressive Stress Thick Shell-(Strain*Modulus of Elasticity Of Thick Shell))/Poisson's Ratio)-Hoop Stress on thick shell. To calculate Longitudinal stress given radial strain in thick cylindrical shell, you need Compressive Stress Thick Shell (σ_c), Strain (ε), Modulus of Elasticity Of Thick Shell (E), Poisson's Ratio (𝛎) & Hoop Stress on thick shell (σ_θ). With our tool, you need to enter the respective value for Compressive Stress Thick Shell, Strain, Modulus of Elasticity Of Thick Shell, Poisson's Ratio & Hoop Stress on 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 Longitudinal Stress Thick Shell?

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

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

Home

FREE PDFs

🔍 Search