Poisson's ratio given circumferential strain on disc Calculator

✖Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.ⓘ Circumferential Stress [σ_c]			+10% -10%
✖Circumferential strain represents the change in length.ⓘ Circumferential Strain [e₁]			+10% -10%
✖Modulus Of Elasticity Of Disc is a quantity that measures disc's resistance to being deformed elastically when a stress is applied to it.ⓘ Modulus Of Elasticity Of Disc [E]			+10% -10%
✖Radial Stress induced by a bending moment in a member of constant cross section.ⓘ Radial Stress [σ_r]			+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 on disc [𝛎]

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Poisson's ratio given circumferential strain on disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Poisson's Ratio = (Circumferential Stress-(Circumferential Strain*Modulus Of Elasticity Of Disc))/(Radial Stress)
𝛎 = (σ_c-(e₁*E))/(σ_r)
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 - (Measured in Pascal) - Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.
Circumferential Strain - Circumferential strain represents the change in length.
Modulus Of Elasticity Of Disc - (Measured in Pascal) - Modulus Of Elasticity Of Disc is a quantity that measures disc's resistance to being deformed elastically when a stress is applied to it.
Radial Stress - (Measured in Pascal) - Radial Stress induced by a bending moment in a member of constant cross section.

STEP 1: Convert Input(s) to Base Unit

Circumferential Stress: 80 Newton per Square Meter --> 80 Pascal (Check conversion here)
Circumferential Strain: 2.5 --> No Conversion Required
Modulus Of Elasticity Of Disc: 8 Newton per Square Meter --> 8 Pascal (Check conversion here)
Radial Stress: 100 Newton per Square Meter --> 100 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝛎 = (σ_c-(e₁*E))/(σ_r) --> (80-(2.5*8))/(100)

Evaluating ... ...

𝛎 = 0.6

STEP 3: Convert Result to Output's Unit

0.6 --> No Conversion Required

FINAL ANSWER

0.6 <-- Poisson's Ratio

(Calculation completed in 00.004 seconds)

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Hoop stress in thin cylinder

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Poisson's ratio given circumferential strain on disc Formula

LaTeX Go

Poisson's Ratio = (Circumferential Stress-(Circumferential Strain*Modulus Of Elasticity Of Disc))/(Radial Stress)
𝛎 = (σ_c-(e₁*E))/(σ_r)

What is the allowable stress?

Allowable stress, or allowable strength, is the maximum stress that can be safely applied to a structure. Allowable stress is the stress at which a member is not expected to fail under the given loading conditions.

How to Calculate Poisson's ratio given circumferential strain on disc?

Poisson's ratio given circumferential strain on disc calculator uses Poisson's Ratio = (Circumferential Stress-(Circumferential Strain*Modulus Of Elasticity Of Disc))/(Radial Stress) to calculate the Poisson's Ratio, The Poisson's ratio given circumferential strain on disc formula is defined as a measure of the Poisson effect, the phenomenon in which a material tends to expand in directions perpendicular to the direction of compression. Poisson's Ratio is denoted by 𝛎 symbol.

How to calculate Poisson's ratio given circumferential strain on disc using this online calculator? To use this online calculator for Poisson's ratio given circumferential strain on disc, enter Circumferential Stress (σ_c), Circumferential Strain (e₁), Modulus Of Elasticity Of Disc (E) & Radial Stress (σ_r) and hit the calculate button. Here is how the Poisson's ratio given circumferential strain on disc calculation can be explained with given input values -> 0.6 = (80-(2.5*8))/(100).

FAQ

What is Poisson's ratio given circumferential strain on disc?

The Poisson's ratio given circumferential strain on disc formula is defined as a measure of the Poisson effect, the phenomenon in which a material tends to expand in directions perpendicular to the direction of compression and is represented as 𝛎 = (σ_c-(e₁*E))/(σ_r) or Poisson's Ratio = (Circumferential Stress-(Circumferential Strain*Modulus Of Elasticity Of Disc))/(Radial Stress). Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius, Circumferential strain represents the change in length, Modulus Of Elasticity Of Disc is a quantity that measures disc's resistance to being deformed elastically when a stress is applied to it & Radial Stress induced by a bending moment in a member of constant cross section.

How to calculate Poisson's ratio given circumferential strain on disc?

The Poisson's ratio given circumferential strain on disc formula is defined as a measure of the Poisson effect, the phenomenon in which a material tends to expand in directions perpendicular to the direction of compression is calculated using Poisson's Ratio = (Circumferential Stress-(Circumferential Strain*Modulus Of Elasticity Of Disc))/(Radial Stress). To calculate Poisson's ratio given circumferential strain on disc, you need Circumferential Stress (σ_c), Circumferential Strain (e₁), Modulus Of Elasticity Of Disc (E) & Radial Stress (σ_r). With our tool, you need to enter the respective value for Circumferential Stress, Circumferential Strain, Modulus Of Elasticity Of Disc & Radial Stress 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 Poisson's Ratio?

In this formula, Poisson's Ratio uses Circumferential Stress, Circumferential Strain, Modulus Of Elasticity Of Disc & Radial Stress. We can use 3 other way(s) to calculate the same, which is/are as follows -

Poisson's Ratio = (Radial Stress-(Radial strain*Modulus Of Elasticity Of Disc))/(Circumferential Stress)
Poisson's Ratio = (Circumferential Stress-((Increase in radius/Disc Radius)*Modulus Of Elasticity Of Disc))/Radial Stress
Poisson's Ratio = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus Of Elasticity Of Disc))/(Circumferential Stress)

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