Poisson's ratio given radial strain on disc Calculator

✖Radial Stress induced by a bending moment in a member of constant cross section.ⓘ Radial Stress [σ_r]			+10% -10%
✖Radial strain is the change in length per unit of original length in the radial direction (the direction from the center to the outer edge of an object).ⓘ Radial Strain [ε_r]			+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%
✖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%

✖Poisson's ratio is a material property that describes the relationship between the lateral strain and the longitudinal strain.ⓘ Poisson's ratio given radial strain on disc [𝛎]

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Poisson's ratio given radial strain on disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Poisson's Ratio = (Radial Stress-(Radial Strain*Modulus of Elasticity of Disc))/(Circumferential Stress)
𝛎 = (σ_r-(ε_r*E))/(σ_c)
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.
Radial Stress - (Measured in Pascal) - Radial Stress induced by a bending moment in a member of constant cross section.
Radial Strain - Radial strain is the change in length per unit of original length in the radial direction (the direction from the center to the outer edge of an object).
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.
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.

STEP 1: Convert Input(s) to Base Unit

Radial Stress: 100 Newton per Square Meter --> 100 Pascal (Check conversion here)
Radial Strain: 4 --> No Conversion Required
Modulus of Elasticity of Disc: 8 Newton per Square Meter --> 8 Pascal (Check conversion here)
Circumferential Stress: 80 Newton per Square Meter --> 80 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝛎 = (σ_r-(ε_r*E))/(σ_c) --> (100-(4*8))/(80)

Evaluating ... ...

𝛎 = 0.85

STEP 3: Convert Result to Output's Unit

0.85 --> No Conversion Required

FINAL ANSWER

0.85 <-- 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 radial 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 radial strain on disc Formula

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

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 radial strain on disc?

Poisson's ratio given radial strain on disc calculator uses Poisson's Ratio = (Radial Stress-(Radial Strain*Modulus of Elasticity of Disc))/(Circumferential Stress) to calculate the Poisson's Ratio, Poisson's ratio given radial strain on disc formula is defined as a measure of the relationship between radial stress and radial strain in a rotating disc, reflecting how materials deform under stress in relation to their elastic properties. Poisson's Ratio is denoted by 𝛎 symbol.

How to calculate Poisson's ratio given radial strain on disc using this online calculator? To use this online calculator for Poisson's ratio given radial strain on disc, enter Radial Stress (σ_r), Radial Strain (ε_r), Modulus of Elasticity of Disc (E) & Circumferential Stress (σ_c) and hit the calculate button. Here is how the Poisson's ratio given radial strain on disc calculation can be explained with given input values -> 0.85 = (100-(4*8))/(80).

FAQ

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

Poisson's ratio given radial strain on disc formula is defined as a measure of the relationship between radial stress and radial strain in a rotating disc, reflecting how materials deform under stress in relation to their elastic properties and is represented as 𝛎 = (σ_r-(ε_r*E))/(σ_c) or Poisson's Ratio = (Radial Stress-(Radial Strain*Modulus of Elasticity of Disc))/(Circumferential Stress). Radial Stress induced by a bending moment in a member of constant cross section, Radial strain is the change in length per unit of original length in the radial direction (the direction from the center to the outer edge of an object), 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 & 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.

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

Poisson's ratio given radial strain on disc formula is defined as a measure of the relationship between radial stress and radial strain in a rotating disc, reflecting how materials deform under stress in relation to their elastic properties is calculated using Poisson's Ratio = (Radial Stress-(Radial Strain*Modulus of Elasticity of Disc))/(Circumferential Stress). To calculate Poisson's ratio given radial strain on disc, you need Radial Stress (σ_r), Radial Strain (ε_r), Modulus of Elasticity of Disc (E) & Circumferential Stress (σ_c). With our tool, you need to enter the respective value for Radial Stress, Radial Strain, Modulus of Elasticity of Disc & Circumferential 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 Radial Stress, Radial Strain, Modulus of Elasticity of Disc & Circumferential Stress. We can use 3 other way(s) to calculate the same, which is/are as follows -

Poisson's Ratio = (Circumferential Stress-(Circumferential Strain*Modulus of Elasticity of Disc))/(Radial 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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