Poisson's ratio given circumferential strain on disc Calculator

✖Circumferential stress is the stress that acts along the circumference of a cylindrical or spherical object, the stress that develops when the object is subjected to internal or external pressure.ⓘ Circumferential Stress [σ_c]			+10% -10%
✖Circumferential strain refers to the deformation or change in the dimensions of an object in the circumferential direction (around the circumference) when it is subjected to stress or force.ⓘ Circumferential Strain [e₁]			+10% -10%
✖Modulus of elasticity of disc refers to a material property that measures its ability to resist deformation under stress, specifically in response to stretching or compressing forces.ⓘ 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 a material property that describes the relationship between the lateral strain and the longitudinal strain.ⓘ 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 a material property that describes the relationship between the lateral strain and the longitudinal strain.
Circumferential Stress - (Measured in Pascal) - Circumferential stress is the stress that acts along the circumference of a cylindrical or spherical object, the stress that develops when the object is subjected to internal or external pressure.
Circumferential Strain - Circumferential strain refers to the deformation or change in the dimensions of an object in the circumferential direction (around the circumference) when it is subjected to stress or force.
Modulus of Elasticity of Disc - (Measured in Pascal) - Modulus of elasticity of disc refers to a material property that measures its ability to resist deformation under stress, specifically in response to stretching or compressing forces.
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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Home » Physics » Strength of Materials » Rotating Disc And Cylinder » Expression for Stresses in Rotating Thin Disc » Mechanical » Relation of Parameters » Poisson's ratio given circumferential strain on disc

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< Relation of Parameters Calculators

Angular speed of rotation for thin cylinder given hoop stress in thin cylinder

Go Angular Velocity = Hoop Stress in Disc/(Density of Disc*Radius of Disc)

Density of cylinder material given hoop stress (for thin cylinder)

Go Density of Disc = Hoop Stress in Disc/(Angular Velocity*Radius of Disc)

Mean radius of cylinder given hoop stress in thin cylinder

Go Radius of Disc = Hoop Stress in Disc/(Density of Disc*Angular Velocity)

Hoop stress in thin cylinder

Go Hoop Stress in Disc = Density of Disc*Angular Velocity*Radius of Disc

Poisson's ratio given circumferential strain on disc Formula

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, Poisson's ratio given circumferential strain on disc formula is defined as a measure of the relationship between circumferential stress and radial stress in a rotating disc, illustrating how materials deform in response to applied forces. 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?

Poisson's ratio given circumferential strain on disc formula is defined as a measure of the relationship between circumferential stress and radial stress in a rotating disc, illustrating how materials deform in response to applied forces 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 stress that acts along the circumference of a cylindrical or spherical object, the stress that develops when the object is subjected to internal or external pressure, Circumferential strain refers to the deformation or change in the dimensions of an object in the circumferential direction (around the circumference) when it is subjected to stress or force, Modulus of elasticity of disc refers to a material property that measures its ability to resist deformation under stress, specifically in response to stretching or compressing forces & 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?

Poisson's ratio given circumferential strain on disc formula is defined as a measure of the relationship between circumferential stress and radial stress in a rotating disc, illustrating how materials deform in response to applied forces 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/Radius of Disc)*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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