Young's modulus for cylinder given 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%
✖Circumferential strain represents the change in length.ⓘ Circumferential Strain [e₁]			+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 for cylinder given circumferential strain in cylinder [E]

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Young's modulus for cylinder given circumferential strain in cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Circumferential Strain - Circumferential strain represents the change in length.

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)
Circumferential Strain: 2.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (σ_cf-(𝛎*σ_l))/e₁ --> (200000-(0.3*90000))/2.5

Evaluating ... ...

E = 69200

STEP 3: Convert Result to Output's Unit

69200 Pascal -->0.0692 Megapascal (Check conversion here)

FINAL ANSWER

0.0692 Megapascal <-- Young's Modulus Cylinder

(Calculation completed in 00.004 seconds)

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Young's modulus for cylinder given circumferential strain in cylinder Formula

LaTeX Go

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

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 Young's modulus for cylinder given circumferential strain in cylinder?

Young's modulus for cylinder given circumferential strain in cylinder calculator uses Young's Modulus Cylinder = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Circumferential Strain to calculate the Young's Modulus Cylinder, Young's modulus for cylinder given circumferential strain in cylinder is a property of the material that tells us how easy it can stretch and deform and is defined as the ratio of tensile stress (σ) to tensile strain (ε). Young's Modulus Cylinder is denoted by E symbol.

How to calculate Young's modulus for cylinder given circumferential strain in cylinder using this online calculator? To use this online calculator for Young's modulus for cylinder given circumferential strain in cylinder, enter Circumferential stress because of fluid pressure (σ_cf), Poisson's Ratio (𝛎), Longitudinal Stress (σ_l) & Circumferential Strain (e₁) and hit the calculate button. Here is how the Young's modulus for cylinder given circumferential strain in cylinder calculation can be explained with given input values -> -1E-8 = (200000-(0.3*90000))/2.5.

FAQ

What is Young's modulus for cylinder given circumferential strain in cylinder?

Young's modulus for cylinder given circumferential strain in cylinder is a property of the material that tells us how easy it can stretch and deform and is defined as the ratio of tensile stress (σ) to tensile strain (ε) and is represented as E = (σ_cf-(𝛎*σ_l))/e₁ or Young's Modulus Cylinder = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Circumferential Strain. 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 & Circumferential strain represents the change in length.

How to calculate Young's modulus for cylinder given circumferential strain in cylinder?

Young's modulus for cylinder given circumferential strain in cylinder is a property of the material that tells us how easy it can stretch and deform and is defined as the ratio of tensile stress (σ) to tensile strain (ε) is calculated using Young's Modulus Cylinder = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Circumferential Strain. To calculate Young's modulus for cylinder given circumferential strain in cylinder, you need Circumferential stress because of fluid pressure (σ_cf), Poisson's Ratio (𝛎), Longitudinal Stress (σ_l) & Circumferential Strain (e₁). With our tool, you need to enter the respective value for Circumferential stress because of fluid pressure, Poisson's Ratio, Longitudinal Stress & Circumferential Strain 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 Young's Modulus Cylinder?

In this formula, Young's Modulus Cylinder uses Circumferential stress because of fluid pressure, Poisson's Ratio, Longitudinal Stress & Circumferential Strain. We can use 1 other way(s) to calculate the same, which is/are as follows -

Young's Modulus Cylinder = Stress in wire due to fluid pressure/Strain in thin shell

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