Modulus of elasticity given change in radius of thick cylindrical shell 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%
✖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 given change in radius of thick cylindrical shell [E]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

Modulus of elasticity given change in radius of thick cylindrical shell Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Elasticity Of Thick Shell = Radius Of Cylindrical Shell*((Hoop Stress on thick shell-(Poisson's Ratio*(Longitudinal Stress Thick Shell-Compressive Stress Thick Shell)))/Change in radius)
E = r_{cylindrical shell}*((σ_θ-(𝛎*(σ_l-σ_c)))/Δr)
This formula uses 7 Variables

Variables Used

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.
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.
Change in radius - (Measured in Meter) - Change in radius is the change in the radius of thick cylindrical shell due to applied stress.

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)
Change in radius: 20 Millimeter --> 0.02 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = r_{cylindrical shell}*((σ_θ-(𝛎*(σ_l-σ_c)))/Δr) --> 8*((2000-(0.3*(80000-550000)))/0.02)

Evaluating ... ...

E = 57200000

STEP 3: Convert Result to Output's Unit

57200000 Pascal -->57.2 Megapascal (Check conversion here)

FINAL ANSWER

57.2 Megapascal <-- Modulus of Elasticity Of 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 » Modulus of elasticity 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))

Modulus of elasticity 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 Modulus of elasticity given change in radius of thick cylindrical shell?

Modulus of elasticity given change in radius of thick cylindrical shell calculator uses Modulus of Elasticity Of Thick Shell = Radius Of Cylindrical Shell*((Hoop Stress on thick shell-(Poisson's Ratio*(Longitudinal Stress Thick Shell-Compressive Stress Thick Shell)))/Change in radius) to calculate the Modulus of Elasticity Of Thick Shell, The Modulus of elasticity given change in radius of thick cylindrical shell formula is defined as the measure of the stiffness of a material. in other words, it is a measure of how easily any material can be bend or stretch. Modulus of Elasticity Of Thick Shell is denoted by E symbol.

How to calculate Modulus of elasticity given change in radius of thick cylindrical shell using this online calculator? To use this online calculator for Modulus of elasticity given change in radius of thick cylindrical shell, 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) & Change in radius (Δr) and hit the calculate button. Here is how the Modulus of elasticity given change in radius of thick cylindrical shell calculation can be explained with given input values -> 5.7E-5 = 8*((2000-(0.3*(80000-550000)))/0.02).

FAQ

What is Modulus of elasticity given change in radius of thick cylindrical shell?

The Modulus of elasticity given change in radius of thick cylindrical shell formula is defined as the measure of the stiffness of a material. in other words, it is a measure of how easily any material can be bend or stretch and is represented as E = r_{cylindrical shell}*((σ_θ-(𝛎*(σ_l-σ_c)))/Δr) or Modulus of Elasticity Of Thick Shell = Radius Of Cylindrical Shell*((Hoop Stress on thick shell-(Poisson's Ratio*(Longitudinal Stress Thick Shell-Compressive Stress Thick Shell)))/Change in radius). 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 & Change in radius is the change in the radius of thick cylindrical shell due to applied stress.

How to calculate Modulus of elasticity given change in radius of thick cylindrical shell?

The Modulus of elasticity given change in radius of thick cylindrical shell formula is defined as the measure of the stiffness of a material. in other words, it is a measure of how easily any material can be bend or stretch is calculated using Modulus of Elasticity Of Thick Shell = Radius Of Cylindrical Shell*((Hoop Stress on thick shell-(Poisson's Ratio*(Longitudinal Stress Thick Shell-Compressive Stress Thick Shell)))/Change in radius). To calculate Modulus of elasticity given change in radius of thick cylindrical shell, 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) & Change in radius (Δr). 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 & Change in radius 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 Modulus of Elasticity Of Thick Shell?

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

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

Home

FREE PDFs

🔍 Search