Poisson's ratio given circumferential strain in cylinder Calculator

✖Circumferential stress due to fluid pressure is a kind of tensile stress exerted on cylinder due to fluid pressure.ⓘ Circumferential stress due to fluid pressure [σ_c]			+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 Cylinder [E]			+10% -10%
✖Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.ⓘ Longitudinal Stress [σ_l]			+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 given circumferential strain in cylinder [𝛎]

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Formula

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Poisson's ratio given circumferential strain in cylinder

Formula

`"𝛎" = ("σ"_{"c"}-("e"_{"1"}*"E"))/("σ"_{"l"})`

Example

`"-266.644444"=("0.002MPa"-("2.5"*"9.6MPa"))/("0.09MPa")`

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Poisson's ratio given circumferential strain in cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Poisson's Ratio = (Circumferential stress due to fluid pressure-(Circumferential strain*Young's Modulus Cylinder))/(Longitudinal Stress)
𝛎 = (σ_c-(e₁*E))/(σ_l)
This formula uses 5 Variables

Variables Used

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.
Circumferential stress due to fluid pressure - (Measured in Pascal) - Circumferential stress due to fluid pressure is a kind of tensile stress exerted on cylinder due to fluid pressure.
Circumferential strain - Circumferential strain represents the change in length.
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.
Longitudinal Stress - (Measured in Pascal) - Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.

STEP 1: Convert Input(s) to Base Unit

Circumferential stress due to fluid pressure: 0.002 Megapascal --> 2000 Pascal (Check conversion here)
Circumferential strain: 2.5 --> No Conversion Required
Young's Modulus Cylinder: 9.6 Megapascal --> 9600000 Pascal (Check conversion here)
Longitudinal Stress: 0.09 Megapascal --> 90000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝛎 = (σ_c-(e₁*E))/(σ_l) --> (2000-(2.5*9600000))/(90000)

Evaluating ... ...

𝛎 = -266.644444444444

STEP 3: Convert Result to Output's Unit

-266.644444444444 --> No Conversion Required

FINAL ANSWER

-266.644444444444 ≈ -266.644444 <-- Poisson's Ratio

(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< 23 Wire Winding of Thin Cylinders Calculators

Thickness of cylinder given bursting force due to fluid pressure

Go Thickness Of Wire = ((Force/Length Of Cylindrical Shell)-((pi/2)*Diameter of Wire*Stress in wire because of fluid pressure))/(2*Circumferential stress due to fluid pressure)

Length of cylinder given bursting force due to fluid pressure

Go Length Of Cylindrical Shell = Force/(((2*Thickness Of Wire*Circumferential stress due to fluid pressure)+((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure)))

Young's modulus for cylinder given circumferential strain in cylinder

Go Young's Modulus Cylinder = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Circumferential strain

Circumferential strain in cylinder

Go Circumferential strain = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Young's Modulus Cylinder

Poisson's ratio given circumferential strain in cylinder

Go Poisson's Ratio = (Circumferential stress due to fluid pressure-(Circumferential strain*Young's Modulus Cylinder))/(Longitudinal Stress)

Thickness of cylinder given compressive circumferential stress exerted by wire

Go Thickness Of Wire = (pi*Diameter of Wire*Initial Winding Stress)/(4*Compressive Circumferential Stress)

Length of cylinder given resisting force of wire per mm length

Go Length Of Cylindrical Shell = (2*Force)/(pi*Diameter of Wire*Stress in wire due to fluid pressure)

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

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

Length of wire given resisting force on wire and diameter of wire

Go Length of wire = Force/((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure)

Length of cylinder given initial tensile force in wire

Go Length Of Cylindrical Shell = Force/((pi/2)*Diameter of Wire*Initial Winding Stress)

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

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

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

Thickness of cylinder given resisting force of cylinder along longitudinal section

Go Thickness Of Wire = Force/(Circumferential stress due to fluid pressure*2*Length Of Cylindrical Shell)

Length of cylinder given resisting force of cylinder along longitudinal section

Go Length Of Cylindrical Shell = Force/(Circumferential stress due to fluid pressure*2*Thickness Of Wire)

Area of cross-section of wire given resisting force on wire

Go Cross-Sectional Area Wire = Force/(Number of turns of wire*(2)*Stress in wire due to fluid pressure)

Number of turns of wire given resisting force on wire

Go Number of turns of wire = Force/((2*Cross-Sectional Area Wire)*Stress in wire due to fluid pressure)

Internal fluid pressure given longitudinal stress in wire due to fluid pressure

Go Internal Pressure = (Longitudinal Stress*(4*Thickness Of Wire))/(Diameter of Cylinder)

Thickness of cylinder given longitudinal stress in wire due to fluid pressure

Go Thickness Of Wire = ((Internal Pressure*Diameter of Cylinder)/(4*Longitudinal Stress))

Diameter of cylinder given longitudinal stress in wire due to fluid pressure

Go Diameter of Cylinder = (Longitudinal Stress*(4*Thickness Of Wire))/(Internal Pressure)

Young's modulus for wire given strain in wire

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

Strain in wire

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

Length of cylinder given number of turns of wire in length 'L'

Go Length Of Cylindrical Shell = Number of turns of wire*Diameter of Wire

Number of turns of wire in length 'L'

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

Poisson's ratio given circumferential strain in cylinder Formula

Poisson's Ratio = (Circumferential stress due to fluid pressure-(Circumferential strain*Young's Modulus Cylinder))/(Longitudinal Stress)
𝛎 = (σ_c-(e₁*E))/(σ_l)

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 Poisson's ratio given circumferential strain in cylinder?

Poisson's ratio given circumferential strain in cylinder calculator uses Poisson's Ratio = (Circumferential stress due to fluid pressure-(Circumferential strain*Young's Modulus Cylinder))/(Longitudinal Stress) to calculate the Poisson's Ratio, Poisson's ratio given circumferential strain in cylinder is the deformation in the material in a direction perpendicular to the direction of the applied force. Poisson's Ratio is denoted by 𝛎 symbol.

How to calculate Poisson's ratio given circumferential strain in cylinder using this online calculator? To use this online calculator for Poisson's ratio given circumferential strain in cylinder, enter Circumferential stress due to fluid pressure (σ_c), Circumferential strain (e₁), Young's Modulus Cylinder (E) & Longitudinal Stress (σ_l) and hit the calculate button. Here is how the Poisson's ratio given circumferential strain in cylinder calculation can be explained with given input values -> -266.644444 = (2000-(2.5*9600000))/(90000).

FAQ

What is Poisson's ratio given circumferential strain in cylinder?

Poisson's ratio given circumferential strain in cylinder is the deformation in the material in a direction perpendicular to the direction of the applied force and is represented as 𝛎 = (σ_c-(e₁*E))/(σ_l) or Poisson's Ratio = (Circumferential stress due to fluid pressure-(Circumferential strain*Young's Modulus Cylinder))/(Longitudinal Stress). Circumferential stress due to fluid pressure is a kind of tensile stress exerted on cylinder due to fluid pressure, Circumferential strain represents the change in length, Young's Modulus Cylinder is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain & Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.

How to calculate Poisson's ratio given circumferential strain in cylinder?

Poisson's ratio given circumferential strain in cylinder is the deformation in the material in a direction perpendicular to the direction of the applied force is calculated using Poisson's Ratio = (Circumferential stress due to fluid pressure-(Circumferential strain*Young's Modulus Cylinder))/(Longitudinal Stress). To calculate Poisson's ratio given circumferential strain in cylinder, you need Circumferential stress due to fluid pressure (σ_c), Circumferential strain (e₁), Young's Modulus Cylinder (E) & Longitudinal Stress (σ_l). With our tool, you need to enter the respective value for Circumferential stress due to fluid pressure, Circumferential strain, Young's Modulus Cylinder & Longitudinal Stress and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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