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 = (σr-(er*E))/(σc)
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.
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 length in a direction radially outward from the charge.
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)
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 = (σr-(er*E))/(σc) --> (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 00.020 seconds)

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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*Disc Radius)
Density of cylinder material given hoop stress (for thin cylinder)
​ LaTeX ​ Go Density Of Disc = Hoop Stress in Disc/(Angular Velocity*Disc Radius)
Mean radius of cylinder given hoop stress in thin cylinder
​ LaTeX ​ Go Disc Radius = 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*Disc Radius

Poisson's ratio given radial strain on disc Formula

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

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, The Poisson's ratio given radial 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 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 r), Radial strain (er), Modulus Of Elasticity Of Disc (E) & Circumferential Stress 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?
The Poisson's ratio given radial 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 = (σr-(er*E))/(σc) 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 length in a direction radially outward from the charge, 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 radial strain on disc?
The Poisson's ratio given radial 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 = (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 r), Radial strain (er), Modulus Of Elasticity Of Disc (E) & Circumferential Stress 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/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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