Circumferential strain in cylinder Calculator

✖Circumferential stress because of fluid pressure is a kind of tensile stress exerted on cylinder due to fluid pressure.ⓘ Circumferential stress because of fluid pressure [σ_cf]			+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 is defined as the stress produced when a pipe is subjected to internal pressure.ⓘ Longitudinal Stress [σ_l]			+10% -10%
✖Young's Modulus Cylinder is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus Cylinder [E]			+10% -10%

✖Circumferential strain represents the change in length.ⓘ Circumferential strain in cylinder [e₁]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

Circumferential strain in cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumferential Strain = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Young's Modulus Cylinder
e₁ = (σ_cf-(𝛎*σ_l))/E
This formula uses 5 Variables

Variables Used

Circumferential Strain - Circumferential strain represents the change in length.
Circumferential stress because of fluid pressure - (Measured in Pascal) - Circumferential stress because of fluid pressure is a kind of tensile stress exerted on cylinder due to fluid pressure.
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 - (Measured in Pascal) - Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.
Young's Modulus Cylinder - (Measured in Pascal) - Young's Modulus Cylinder is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

STEP 1: Convert Input(s) to Base Unit

Circumferential stress because of fluid pressure: 0.2 Megapascal --> 200000 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
Longitudinal Stress: 0.09 Megapascal --> 90000 Pascal (Check conversion here)
Young's Modulus Cylinder: 9.6 Megapascal --> 9600000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e₁ = (σ_cf-(𝛎*σ_l))/E --> (200000-(0.3*90000))/9600000

Evaluating ... ...

e₁ = 0.0180208333333333

STEP 3: Convert Result to Output's Unit

0.0180208333333333 --> No Conversion Required

FINAL ANSWER

0.0180208333333333 ≈ 0.018021 <-- Circumferential Strain

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Strength of Materials » Thin Cylinders And Spheres » Wire Winding of Thin Cylinders » Mechanical » Wire Parameters » Circumferential strain in cylinder

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!

< Wire Parameters Calculators

Number of turns in wire for length 'L' given initial tensile force in wire

LaTeX Go Number of turns of wire = Force/((((pi/2)*(Diameter of Wire^2)))*Initial Winding Stress)

Thickness of cylinder given initial compressive force in cylinder for length 'L'

LaTeX Go Thickness Of Wire = Compressive Force/(2*Length Of Cylindrical Shell*Compressive Circumferential Stress)

Length of cylinder given initial compressive force in cylinder for length L

LaTeX Go Length Of Cylindrical Shell = Compressive Force/(2*Thickness Of Wire*Compressive Circumferential Stress)

Number of turns of wire in length 'L'

LaTeX Go Number of turns of wire = Length of wire/Diameter of Wire

Circumferential strain in cylinder Formula

LaTeX Go

Circumferential Strain = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Young's Modulus Cylinder
e₁ = (σ_cf-(𝛎*σ_l))/E

Is a higher Young's modulus better?

The coefficient of proportionality is Young's modulus. The higher the modulus, the more stress is needed to create the same amount of strain; an idealized rigid body would have an infinite Young's modulus. Conversely, a very soft material such as fluid would deform without force and would have zero Young's Modulus.

How to Calculate Circumferential strain in cylinder?

Circumferential strain in cylinder calculator uses Circumferential Strain = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Young's Modulus Cylinder to calculate the Circumferential Strain, The Circumferential strain in cylinder formula is defined as simply the measure of how much an object is stretched or deformed. Circumferential Strain is denoted by e₁ symbol.

How to calculate Circumferential strain in cylinder using this online calculator? To use this online calculator for Circumferential strain in cylinder, enter Circumferential stress because of fluid pressure (σ_cf), Poisson's Ratio (𝛎), Longitudinal Stress (σ_l) & Young's Modulus Cylinder (E) and hit the calculate button. Here is how the Circumferential strain in cylinder calculation can be explained with given input values -> -0.002604 = (200000-(0.3*90000))/9600000.

FAQ

What is Circumferential strain in cylinder?

The Circumferential strain in cylinder formula is defined as simply the measure of how much an object is stretched or deformed and is represented as e₁ = (σ_cf-(𝛎*σ_l))/E or Circumferential Strain = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Young's Modulus Cylinder. Circumferential stress because of fluid pressure is a kind of tensile stress exerted on cylinder due to fluid pressure, 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 is defined as the stress produced when a pipe is subjected to internal pressure & Young's Modulus Cylinder is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

How to calculate Circumferential strain in cylinder?

The Circumferential strain in cylinder formula is defined as simply the measure of how much an object is stretched or deformed is calculated using Circumferential Strain = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Young's Modulus Cylinder. To calculate Circumferential strain in cylinder, you need Circumferential stress because of fluid pressure (σ_cf), Poisson's Ratio (𝛎), Longitudinal Stress (σ_l) & Young's Modulus Cylinder (E). With our tool, you need to enter the respective value for Circumferential stress because of fluid pressure, Poisson's Ratio, Longitudinal Stress & Young's Modulus Cylinder 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