Poisson's ratio given initial radial width of disc Calculator

✖Radial stress refers to the stress that acts perpendicular to the longitudinal axis of a component, directed either towards or away from the central axis.ⓘ Radial Stress [σ_r]			+10% -10%
✖Increase in radial width refers to the change or expansion in the radius of a circular object (like a disc, pipe, or cylinder) from its original value due to some external or internal influence.ⓘ Increase in Radial Width [Δr]			+10% -10%
✖Initial radial width the starting radial distance or width at a particular point or state.ⓘ Initial Radial Width [d_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 initial radial width of disc [𝛎]

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Poisson's ratio given initial radial width of disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Poisson's Ratio = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus of Elasticity of Disc))/(Circumferential Stress)
𝛎 = (σ_r-((Δr/d_r)*E))/(σ_c)
This formula uses 6 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 refers to the stress that acts perpendicular to the longitudinal axis of a component, directed either towards or away from the central axis.
Increase in Radial Width - (Measured in Meter) - Increase in radial width refers to the change or expansion in the radius of a circular object (like a disc, pipe, or cylinder) from its original value due to some external or internal influence.
Initial Radial Width - (Measured in Meter) - Initial radial width the starting radial distance or width at a particular point or state.
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)
Increase in Radial Width: 3.4 Millimeter --> 0.0034 Meter (Check conversion here)
Initial Radial Width: 3 Millimeter --> 0.003 Meter (Check conversion here)
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-((Δr/d_r)*E))/(σ_c) --> (100-((0.0034/0.003)*8))/(80)

Evaluating ... ...

𝛎 = 1.13666666666667

STEP 3: Convert Result to Output's Unit

1.13666666666667 --> No Conversion Required

FINAL ANSWER

1.13666666666667 ≈ 1.136667 <-- 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 initial radial width of disc

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< Relation of Parameters Calculators

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

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

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

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

Mean radius of cylinder given hoop stress in thin cylinder

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

Hoop stress in thin cylinder

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

Poisson's ratio given initial radial width of disc Formula

LaTeX Go

Poisson's Ratio = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus of Elasticity of Disc))/(Circumferential Stress)
𝛎 = (σ_r-((Δr/d_r)*E))/(σ_c)

What is the Allowable Stress?

Allowable stress, also known as allowable strength, is the maximum stress that a material or structure can safely withstand without experiencing failure or permanent deformation. Allowable stress is the stress at which a member is not expected to fail under the given loading conditions.

What is Compression Stress Force?

Compression stress force is the stress that squeezes something. It is the stress component perpendicular to a given surface, such as a fault plane, that results from forces applied perpendicular to the surface or from remote forces transmitted through the surrounding rock.

How to Calculate Poisson's ratio given initial radial width of disc?

Poisson's ratio given initial radial width of disc calculator uses Poisson's Ratio = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus of Elasticity of Disc))/(Circumferential Stress) to calculate the Poisson's Ratio, Poisson's ratio given initial radial width of disc formula is defined as a measure of the relationship between radial and circumferential stresses in a rotating disc, indicating how material deforms in response to applied forces. Poisson's Ratio is denoted by 𝛎 symbol.

How to calculate Poisson's ratio given initial radial width of disc using this online calculator? To use this online calculator for Poisson's ratio given initial radial width of disc, enter Radial Stress (σ_r), Increase in Radial Width (Δr), Initial Radial Width (d_r), Modulus of Elasticity of Disc (E) & Circumferential Stress (σ_c) and hit the calculate button. Here is how the Poisson's ratio given initial radial width of disc calculation can be explained with given input values -> 1.136667 = (100-((0.0034/0.003)*8))/(80).

FAQ

What is Poisson's ratio given initial radial width of disc?

Poisson's ratio given initial radial width of disc formula is defined as a measure of the relationship between radial and circumferential stresses in a rotating disc, indicating how material deforms in response to applied forces and is represented as 𝛎 = (σ_r-((Δr/d_r)*E))/(σ_c) or Poisson's Ratio = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus of Elasticity of Disc))/(Circumferential Stress). Radial stress refers to the stress that acts perpendicular to the longitudinal axis of a component, directed either towards or away from the central axis, Increase in radial width refers to the change or expansion in the radius of a circular object (like a disc, pipe, or cylinder) from its original value due to some external or internal influence, Initial radial width the starting radial distance or width at a particular point or state, 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 initial radial width of disc?

Poisson's ratio given initial radial width of disc formula is defined as a measure of the relationship between radial and circumferential stresses in a rotating disc, indicating how material deforms in response to applied forces is calculated using Poisson's Ratio = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus of Elasticity of Disc))/(Circumferential Stress). To calculate Poisson's ratio given initial radial width of disc, you need Radial Stress (σ_r), Increase in Radial Width (Δr), Initial Radial Width (d_r), Modulus of Elasticity of Disc (E) & Circumferential Stress (σ_c). With our tool, you need to enter the respective value for Radial Stress, Increase in Radial Width, Initial Radial Width, 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, Increase in Radial Width, Initial Radial Width, 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 = (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

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