Fx Copy
LaTeX Copy
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. Check FAQs
𝛎=(((C2)-σr)8ρ(ω2)(rdisc2))-3
𝛎 - Poisson's Ratio?C - Constant at Boundary?σr - Radial Stress?ρ - Density Of Disc?ω - Angular Velocity?rdisc - Disc Radius?

Poisson's ratio given Radial stress in solid disc Example

With values
With units
Only example

Here is how the Poisson's ratio given Radial stress in solid disc equation looks like with Values.

Here is how the Poisson's ratio given Radial stress in solid disc equation looks like with Units.

Here is how the Poisson's ratio given Radial stress in solid disc equation looks like.

0.1888Edit=(((400Edit2)-100Edit)82Edit(11.2Edit2)(1000Edit2))-3
You are here -
HomeIcon Home » Category Physics » Category Mechanical » Category Strength of Materials » fx Poisson's ratio given Radial stress in solid disc

Poisson's ratio given Radial stress in solid disc Solution

Follow our step by step solution on how to calculate Poisson's ratio given Radial stress in solid disc?

FIRST Step Consider the formula
𝛎=(((C2)-σr)8ρ(ω2)(rdisc2))-3
Next Step Substitute values of Variables
𝛎=(((4002)-100N/m²)82kg/m³(11.2rad/s2)(1000mm2))-3
Next Step Convert Units
𝛎=(((4002)-100Pa)82kg/m³(11.2rad/s2)(1m2))-3
Next Step Prepare to Evaluate
𝛎=(((4002)-100)82(11.22)(12))-3
Next Step Evaluate
𝛎=0.188775510204082
LAST Step Rounding Answer
𝛎=0.1888

Poisson's ratio given Radial stress in solid disc Formula Elements

Variables
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.
Symbol: 𝛎
Measurement: NAUnit: Unitless
Note: Value should be between -1 to 10.
Constant at Boundary
Constant at boundary condition is value obtained for stress in solid disc.
Symbol: C
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Radial Stress
Radial Stress induced by a bending moment in a member of constant cross section.
Symbol: σr
Measurement: PressureUnit: N/m²
Note: Value should be greater than 0.
Density Of Disc
Density Of Disc shows the denseness of disc in a specific given area. This is taken as mass per unit volume of a given disc.
Symbol: ρ
Measurement: DensityUnit: kg/m³
Note: Value should be greater than 0.
Angular Velocity
The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
Symbol: ω
Measurement: Angular VelocityUnit: rad/s
Note: Value should be greater than 0.
Disc Radius
Disc Radius is a radial line from the focus to any point of a curve.
Symbol: rdisc
Measurement: LengthUnit: mm
Note: Value should be greater than 0.

Other Formulas to find Poisson's Ratio

​Go Poisson's ratio given Circumferential stress in solid disc
𝛎=(((C12)-σc)8ρ(ω2)(rdisc2))-13
​Go Poisson's ratio given constant at boundary condition for circular disc
𝛎=(8C1ρ(ω2)(router2))-3
​Go Poisson's ratio given Radial stress in solid disc and outer radius
𝛎=(8σrρ(ω2)((router2)-(r2)))-3
​Go Poisson's ratio given Radial stress at center of solid disc
𝛎=(8σrρ(ω2)(router2))-3

Other formulas in Stresses in Disc category

​Go Radial stress in solid disc
σr=(C12)-(ρ(ω2)(rdisc2)(3+𝛎)8)
​Go Constant at boundary condition given Radial stress in solid disc
C1=2(σr+(ρ(ω2)(rdisc2)(3+𝛎)8))
​Go Circumferential stress in solid disc
σc=(C12)-(ρ(ω2)(rdisc2)((3𝛎)+1)8)
​Go Constant at boundary condition given Circumferential stress in solid disc
C1=2(σc+(ρ(ω2)(rdisc2)((3𝛎)+1)8))

How to Evaluate Poisson's ratio given Radial stress in solid disc?

Poisson's ratio given Radial stress in solid disc evaluator uses Poisson's Ratio = ((((Constant at Boundary/2)-Radial Stress)*8)/(Density Of Disc*(Angular Velocity^2)*(Disc Radius^2)))-3 to evaluate the Poisson's Ratio, The Poisson's ratio given Radial stress in solid 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 evaluate Poisson's ratio given Radial stress in solid disc using this online evaluator? To use this online evaluator for Poisson's ratio given Radial stress in solid disc, enter Constant at Boundary (C), Radial Stress r), Density Of Disc (ρ), Angular Velocity (ω) & Disc Radius (rdisc) and hit the calculate button.

FAQs on Poisson's ratio given Radial stress in solid disc

What is the formula to find Poisson's ratio given Radial stress in solid disc?
The formula of Poisson's ratio given Radial stress in solid disc is expressed as Poisson's Ratio = ((((Constant at Boundary/2)-Radial Stress)*8)/(Density Of Disc*(Angular Velocity^2)*(Disc Radius^2)))-3. Here is an example- 0.188776 = ((((400/2)-100)*8)/(2*(11.2^2)*(1^2)))-3.
How to calculate Poisson's ratio given Radial stress in solid disc?
With Constant at Boundary (C), Radial Stress r), Density Of Disc (ρ), Angular Velocity (ω) & Disc Radius (rdisc) we can find Poisson's ratio given Radial stress in solid disc using the formula - Poisson's Ratio = ((((Constant at Boundary/2)-Radial Stress)*8)/(Density Of Disc*(Angular Velocity^2)*(Disc Radius^2)))-3.
What are the other ways to Calculate Poisson's Ratio?
Here are the different ways to Calculate Poisson's Ratio-
  • Poisson's Ratio=(((((Constant at boundary condition/2)-Circumferential Stress)*8)/(Density Of Disc*(Angular Velocity^2)*(Disc Radius^2)))-1)/3OpenImg
  • Poisson's Ratio=((8*Constant at boundary condition)/(Density Of Disc*(Angular Velocity^2)*(Outer Radius Disc^2)))-3OpenImg
  • Poisson's Ratio=((8*Radial Stress)/(Density Of Disc*(Angular Velocity^2)*((Outer Radius Disc^2)-(Radius of Element^2))))-3OpenImg
Copied!