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## Credits

National Institute Of Technology (NIT), Hamirpur
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## Poisson's ratio in terms of radial stress in a solid disc Solution

STEP 0: Pre-Calculation Summary
Formula Used
poissons_ratio = ((((Constant at boundary condition/2)-Radial Stress)*8)/(Density*(Angular velocity^2)*(Radius^2)))-3
𝛎 = ((((C1/2)-fr)*8)/(ρ*(ω^2)*(r^2)))-3
This formula uses 5 Variables
Variables Used
Constant at boundary condition- Constant at boundary condition is value obtained for stress in solid disc.
Radial Stress - Radial Stress induced by a bending moment in a member of constant cross section. (Measured in Pascal)
Density - The density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object. (Measured in Kilogram per Meter³)
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.
Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Centimeter)
STEP 1: Convert Input(s) to Base Unit
Constant at boundary condition: 5 --> No Conversion Required
Radial Stress: 100 Pascal --> 100 Pascal No Conversion Required
Density: 997 Kilogram per Meter³ --> 997 Kilogram per Meter³ No Conversion Required
Angular velocity: 20 --> No Conversion Required
Radius: 18 Centimeter --> 0.18 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝛎 = ((((C1/2)-fr)*8)/(ρ*(ω^2)*(r^2)))-3 --> ((((5/2)-100)*8)/(997*(20^2)*(0.18^2)))-3
Evaluating ... ...
𝛎 = -3.0603662840373
STEP 3: Convert Result to Output's Unit
-3.0603662840373 --> No Conversion Required
FINAL ANSWER
-3.0603662840373 <-- Poisson's ratio
(Calculation completed in 00.031 seconds)

## < 10+ Expression For Stresses In A Solid Disc Calculators

Angular velocity of disc in terms of circumferential stress in a solid disc
angular_velocity_1 = sqrt((((Constant at boundary condition/2)-Circumferential stress)*8)/(Density*(Radius^2)*((3*Poisson's ratio)+1))) Go
Angular velocity of the disc in terms of radial stress in a solid disc
angular_velocity_1 = sqrt((((Constant at boundary condition/2)-Radial Stress)*8)/(Density*(Radius^2)*(3+Poisson's ratio))) Go
Radius of the disc in terms of radial stress in a solid disc
radius = sqrt((((Constant at boundary condition/2)-Radial Stress)*8)/(Density*(Angular velocity^2)*(3+Poisson's ratio))) Go
Density of material in terms of circumferential stress in a solid disc
density = (((Constant at boundary condition/2)-Circumferential stress)*8)/((Angular velocity^2)*(Radius^2)*((3*Poisson's ratio)+1)) Go
Constant at boundary condition in terms of circumferential stress in a solid disc
constant_at_boundary_condition = 2*(Circumferential stress+((Density*(Angular velocity^2)*(Radius^2)*((3*Poisson's ratio)+1))/8)) Go
Circumferential stress in a solid disc
circumferential_stress = (Constant at boundary condition/2)-((Density*(Angular velocity^2)*(Radius^2)*((3*Poisson's ratio)+1))/8) Go
Density of material in terms of radial stress in a solid disc
density = (((Constant at boundary condition/2)-Radial Stress)*8)/((Angular velocity^2)*(Radius^2)*(3+Poisson's ratio)) Go
Poisson's ratio in terms of radial stress in a solid disc
poissons_ratio = ((((Constant at boundary condition/2)-Radial Stress)*8)/(Density*(Angular velocity^2)*(Radius^2)))-3 Go
Constant at boundary condition in terms of radial stress in a solid disc
constant_at_boundary_condition = 2*(Radial Stress+((Density*(Angular velocity^2)*(Radius^2)*(3+Poisson's ratio))/8)) Go
Radial stress in a solid disc
radial_stress = (Constant at boundary condition/2)-((Density*(Angular velocity^2)*(Radius^2)*(3+Poisson's ratio))/8) Go

### Poisson's ratio in terms of radial stress in a solid disc Formula

poissons_ratio = ((((Constant at boundary condition/2)-Radial Stress)*8)/(Density*(Angular velocity^2)*(Radius^2)))-3
𝛎 = ((((C1/2)-fr)*8)/(ρ*(ω^2)*(r^2)))-3

## What is radial and tangential stress?

The “Hoop Stress” or “Tangential Stress” acts on a line perpendicular to the “longitudinal “and the “radial stress;” this stress attempts to separate the pipe wall in the circumferential direction. This stress is caused by internal pressure.

## How to Calculate Poisson's ratio in terms of radial stress in a solid disc?

Poisson's ratio in terms of radial stress in a solid disc calculator uses poissons_ratio = ((((Constant at boundary condition/2)-Radial Stress)*8)/(Density*(Angular velocity^2)*(Radius^2)))-3 to calculate the Poisson's ratio, The Poisson's ratio in terms of radial stress in a 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 and is denoted by 𝛎 symbol.

How to calculate Poisson's ratio in terms of radial stress in a solid disc using this online calculator? To use this online calculator for Poisson's ratio in terms of radial stress in a solid disc, enter Constant at boundary condition (C1), Radial Stress (fr), Density (ρ), Angular velocity (ω) and Radius (r) and hit the calculate button. Here is how the Poisson's ratio in terms of radial stress in a solid disc calculation can be explained with given input values -> -3.060366 = ((((5/2)-100)*8)/(997*(20^2)*(0.18^2)))-3.

### FAQ

What is Poisson's ratio in terms of radial stress in a solid disc?
The Poisson's ratio in terms of radial stress in a 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 and is represented as 𝛎 = ((((C1/2)-fr)*8)/(ρ*(ω^2)*(r^2)))-3 or poissons_ratio = ((((Constant at boundary condition/2)-Radial Stress)*8)/(Density*(Angular velocity^2)*(Radius^2)))-3. Constant at boundary condition is value obtained for stress in solid disc, Radial Stress induced by a bending moment in a member of constant cross section, The density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object, 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 and Radius is a radial line from the focus to any point of a curve.
How to calculate Poisson's ratio in terms of radial stress in a solid disc?
The Poisson's ratio in terms of radial stress in a 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 is calculated using poissons_ratio = ((((Constant at boundary condition/2)-Radial Stress)*8)/(Density*(Angular velocity^2)*(Radius^2)))-3. To calculate Poisson's ratio in terms of radial stress in a solid disc, you need Constant at boundary condition (C1), Radial Stress (fr), Density (ρ), Angular velocity (ω) and Radius (r). With our tool, you need to enter the respective value for Constant at boundary condition, Radial Stress, Density, Angular velocity and Radius 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 Constant at boundary condition, Radial Stress, Density, Angular velocity and Radius. We can use 10 other way(s) to calculate the same, which is/are as follows -
• radial_stress = (Constant at boundary condition/2)-((Density*(Angular velocity^2)*(Radius^2)*(3+Poisson's ratio))/8)
• constant_at_boundary_condition = 2*(Radial Stress+((Density*(Angular velocity^2)*(Radius^2)*(3+Poisson's ratio))/8))
• density = (((Constant at boundary condition/2)-Radial Stress)*8)/((Angular velocity^2)*(Radius^2)*(3+Poisson's ratio))
• angular_velocity_1 = sqrt((((Constant at boundary condition/2)-Radial Stress)*8)/(Density*(Radius^2)*(3+Poisson's ratio)))
• radius = sqrt((((Constant at boundary condition/2)-Radial Stress)*8)/(Density*(Angular velocity^2)*(3+Poisson's ratio)))
• poissons_ratio = ((((Constant at boundary condition/2)-Radial Stress)*8)/(Density*(Angular velocity^2)*(Radius^2)))-3
• circumferential_stress = (Constant at boundary condition/2)-((Density*(Angular velocity^2)*(Radius^2)*((3*Poisson's ratio)+1))/8)
• constant_at_boundary_condition = 2*(Circumferential stress+((Density*(Angular velocity^2)*(Radius^2)*((3*Poisson's ratio)+1))/8))
• density = (((Constant at boundary condition/2)-Circumferential stress)*8)/((Angular velocity^2)*(Radius^2)*((3*Poisson's ratio)+1))
• angular_velocity_1 = sqrt((((Constant at boundary condition/2)-Circumferential stress)*8)/(Density*(Radius^2)*((3*Poisson's ratio)+1)))
Where is the Poisson's ratio in terms of radial stress in a solid disc calculator used?
Among many, Poisson's ratio in terms of radial stress in a solid disc calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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