Poisson's ratio given initial radial width of disc Calculator

✖Radial Stress induced by a bending moment in a member of constant cross section.ⓘ Radial Stress [σ_r]			+10% -10%
✖Increase in Radial Width is the increase in radial width due to strain.ⓘ Increase in Radial Width [du]			+10% -10%
✖Initial Radial Width is the radial width without any strain.ⓘ Initial Radial Width [dr]			+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%
✖Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.ⓘ Circumferential Stress [σ_c]			+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 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-((du/dr)*E))/(σ_c)
This formula uses 6 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.
Radial Stress - (Measured in Pascal) - Radial Stress induced by a bending moment in a member of constant cross section.
Increase in Radial Width - (Measured in Meter) - Increase in Radial Width is the increase in radial width due to strain.
Initial Radial Width - (Measured in Meter) - Initial Radial Width is the radial width without any strain.
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.
Circumferential Stress - (Measured in Pascal) - Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.

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-((du/dr)*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 00.007 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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Hoop stress in thin cylinder

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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-((du/dr)*E))/(σ_c)

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, The Poisson's ratio given initial radial width of 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 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 (du), Initial Radial Width (dr), 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?

The Poisson's ratio given initial radial width of 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_r-((du/dr)*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 induced by a bending moment in a member of constant cross section, Increase in Radial Width is the increase in radial width due to strain, Initial Radial Width is the radial width without any strain, Modulus Of Elasticity Of Disc is a quantity that measures disc's resistance to being deformed elastically when a stress is applied to it & Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.

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

The Poisson's ratio given initial radial width of 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 = (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 (du), Initial Radial Width (dr), 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/Disc Radius)*Modulus Of Elasticity Of Disc))/Radial Stress

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