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 = (σc-(e1*E))/(σr)
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 = (σc-(e1*E))/(σr) --> (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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21 Expression for Stresses in Rotating Thin Disc Calculators

Poisson's ratio given initial radial width of disc
Go Poisson's Ratio = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus Of Elasticity Of Disc))/(Circumferential Stress)
Modulus of elasticity given initial radial width of disc
Go Modulus Of Elasticity Of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/(Increase in Radial Width/Initial Radial Width)
Modulus of elasticity given radius of disc
Go Modulus Of Elasticity Of Disc = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/(Increase in radius/Disc Radius))
Increase in radius of disc given stresses
Go Increase in radius = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus Of Elasticity Of Disc)*Disc Radius
Radius of disc given stresses on disc
Go Disc Radius = Increase in radius/((Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus Of Elasticity Of Disc)
Poisson's ratio given radius of disc
Go Poisson's Ratio = (Circumferential Stress-((Increase in radius/Disc Radius)*Modulus Of Elasticity Of Disc))/Radial Stress
Poisson's ratio given circumferential strain on disc
Go Poisson's Ratio = (Circumferential Stress-(Circumferential strain*Modulus Of Elasticity Of Disc))/(Radial Stress)
Modulus of elasticity given circumferential strain on disc
Go Modulus Of Elasticity Of Disc = (Circumferential Stress-(Poisson's Ratio*Radial Stress))/Circumferential strain
Poisson's ratio given radial strain on disc
Go Poisson's Ratio = (Radial Stress-(Radial strain*Modulus Of Elasticity Of Disc))/(Circumferential Stress)
Modulus of elasticity given radial strain on disc
Go Modulus Of Elasticity Of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Radial strain
Angular speed of rotation for thin cylinder given hoop stress in thin cylinder
Go Angular Velocity = Hoop Stress in Disc/(Density Of Disc*Disc Radius)
Density of cylinder material given hoop stress (for thin cylinder)
Go Density Of Disc = Hoop Stress in Disc/(Angular Velocity*Disc Radius)
Mean radius of cylinder given hoop stress in thin cylinder
Go Disc Radius = Hoop Stress in Disc/(Density Of Disc*Angular Velocity)
Hoop stress in thin cylinder
Go Hoop Stress in Disc = Density Of Disc*Angular Velocity*Disc Radius
Initial circumference given circumferential strain for rotating thin disc
Go Initial circumference = Final Circumference/(Circumferential strain+1)
Final circumference given circumferential strain for rotating thin disc
Go Final Circumference = (Circumferential strain+1)*Initial circumference
Tangential velocity of cylinder given hoop stress in thin cylinder
Go Tangential Velocity = Hoop Stress in Disc/(Density Of Disc)
Density of material of cylinder given hoop stress and tangential velocity
Go Density Of Disc = Hoop Stress in Disc/Tangential Velocity
Hoop stress in thin cylinder given tangential velocity of cylinder
Go Hoop Stress in Disc = Tangential Velocity*Density Of Disc
Increase in radius given circumferential strain for rotating thin disc
Go Increase in radius = Circumferential strain*Disc Radius
Radius of disc given circumferential strain for rotating thin disc
Go Disc Radius = Increase in radius/Circumferential strain

Poisson's ratio given circumferential strain on disc Formula

Poisson's Ratio = (Circumferential Stress-(Circumferential strain*Modulus Of Elasticity Of Disc))/(Radial Stress)
𝛎 = (σc-(e1*E))/(σr)

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 c), Circumferential strain (e1), Modulus Of Elasticity Of Disc (E) & Radial Stress 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 = (σc-(e1*E))/(σr) 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 c), Circumferential strain (e1), Modulus Of Elasticity Of Disc (E) & Radial Stress 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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