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## Credits

National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 1000+ more calculators!
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## Maximum radial stress in the solid disc Solution

STEP 0: Pre-Calculation Summary
Formula Used
radial_stress = (Density*(Angular velocity^2)*(3+Poisson's ratio)*(Outer Radius^2))/8
fr = (ρ*(ω^2)*(3+𝛎)*(R^2))/8
This formula uses 4 Variables
Variables Used
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.
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 0.25 and 0.35.
Outer Radius - Outer Radius is the radius of the larger of the two concentric circles that form its boundary. (Measured in Centimeter)
STEP 1: Convert Input(s) to Base Unit
Density: 997 Kilogram per Meter³ --> 997 Kilogram per Meter³ No Conversion Required
Angular velocity: 20 --> No Conversion Required
Poisson's ratio: 0.3 --> No Conversion Required
Outer Radius: 10 Centimeter --> 0.1 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fr = (ρ*(ω^2)*(3+𝛎)*(R^2))/8 --> (997*(20^2)*(3+0.3)*(0.1^2))/8
Evaluating ... ...
fr = 1645.05
STEP 3: Convert Result to Output's Unit
1645.05 Pascal --> No Conversion Required
FINAL ANSWER
1645.05 Pascal <-- Radial Stress
(Calculation completed in 00.016 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

### Maximum radial stress in the solid disc Formula

radial_stress = (Density*(Angular velocity^2)*(3+Poisson's ratio)*(Outer Radius^2))/8
fr = (ρ*(ω^2)*(3+𝛎)*(R^2))/8

## 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 Maximum radial stress in the solid disc?

Maximum radial stress in the solid disc calculator uses radial_stress = (Density*(Angular velocity^2)*(3+Poisson's ratio)*(Outer Radius^2))/8 to calculate the Radial Stress, The Maximum radial stress in the solid disc formula is defined as stress towards or away from the central axis of a component. Radial Stress and is denoted by fr symbol.

How to calculate Maximum radial stress in the solid disc using this online calculator? To use this online calculator for Maximum radial stress in the solid disc, enter Density (ρ), Angular velocity (ω), Poisson's ratio (𝛎) and Outer Radius (R) and hit the calculate button. Here is how the Maximum radial stress in the solid disc calculation can be explained with given input values -> 1645.05 = (997*(20^2)*(3+0.3)*(0.1^2))/8.

### FAQ

What is Maximum radial stress in the solid disc?
The Maximum radial stress in the solid disc formula is defined as stress towards or away from the central axis of a component and is represented as fr = (ρ*(ω^2)*(3+𝛎)*(R^2))/8 or radial_stress = (Density*(Angular velocity^2)*(3+Poisson's ratio)*(Outer Radius^2))/8. 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, 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 0.25 and 0.35 and Outer Radius is the radius of the larger of the two concentric circles that form its boundary.
How to calculate Maximum radial stress in the solid disc?
The Maximum radial stress in the solid disc formula is defined as stress towards or away from the central axis of a component is calculated using radial_stress = (Density*(Angular velocity^2)*(3+Poisson's ratio)*(Outer Radius^2))/8. To calculate Maximum radial stress in the solid disc, you need Density (ρ), Angular velocity (ω), Poisson's ratio (𝛎) and Outer Radius (R). With our tool, you need to enter the respective value for Density, Angular velocity, Poisson's ratio and Outer 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 Radial Stress?
In this formula, Radial Stress uses Density, Angular velocity, Poisson's ratio and Outer 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)))
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