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## Credits

National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 1000+ more calculators!
Birsa Institute of Technology (BIT), Sindri
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## Radial stress in a solid disc Solution

STEP 0: Pre-Calculation Summary
Formula Used
fr = (C1/2)-((ρ*(ω^2)*(r^2)*(3+𝛎))/8)
This formula uses 5 Variables
Variables Used
Constant at boundary condition- Constant at boundary condition is value obtained for stress in solid disc.
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)
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.
STEP 1: Convert Input(s) to Base Unit
Constant at boundary condition: 5 --> 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)
Poisson's ratio: 0.3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fr = (C1/2)-((ρ*(ω^2)*(r^2)*(3+𝛎))/8) --> (5/2)-((997*(20^2)*(0.18^2)*(3+0.3))/8)
Evaluating ... ...
fr = -5327.462
STEP 3: Convert Result to Output's Unit
-5327.462 Pascal --> No Conversion Required
(Calculation completed in 00.008 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
Radius of the disc in terms of radial stress in a solid disc
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
Poisson's ratio in terms of radial stress in a solid disc
Constant at boundary condition in terms of radial stress in a solid disc
Radial stress in a solid disc

### Radial stress in a solid disc Formula

fr = (C1/2)-((ρ*(ω^2)*(r^2)*(3+𝛎))/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 Radial stress in a solid disc?

Radial stress in a solid disc calculator uses radial_stress = (Constant at boundary condition/2)-((Density*(Angular velocity^2)*(Radius^2)*(3+Poisson's ratio))/8) to calculate the Radial Stress, The Radial stress in a solid disc formula is defined as stress towards or away from the central axis of a component. The “radial stress” this stress attempts to separate the pipe or disc wall in the circumferential direction. This stress is caused by internal pressure. Radial Stress and is denoted by fr symbol.

How to calculate Radial stress in a solid disc using this online calculator? To use this online calculator for Radial stress in a solid disc, enter Constant at boundary condition (C1), Density (ρ), Angular velocity (ω), Radius (r) and Poisson's ratio (𝛎) and hit the calculate button. Here is how the Radial stress in a solid disc calculation can be explained with given input values -> -5327.462 = (5/2)-((997*(20^2)*(0.18^2)*(3+0.3))/8).

### FAQ

What is Radial stress in a solid disc?
The Radial stress in a solid disc formula is defined as stress towards or away from the central axis of a component. The “radial stress” this stress attempts to separate the pipe or disc wall in the circumferential direction. This stress is caused by internal pressure and is represented as fr = (C1/2)-((ρ*(ω^2)*(r^2)*(3+𝛎))/8) or radial_stress = (Constant at boundary condition/2)-((Density*(Angular velocity^2)*(Radius^2)*(3+Poisson's ratio))/8). Constant at boundary condition is value obtained for stress in solid disc, 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, Radius is a radial line from the focus to any point of a curve and 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.
How to calculate Radial stress in a solid disc?
The Radial stress in a solid disc formula is defined as stress towards or away from the central axis of a component. The “radial stress” this stress attempts to separate the pipe or disc wall in the circumferential direction. This stress is caused by internal pressure is calculated using radial_stress = (Constant at boundary condition/2)-((Density*(Angular velocity^2)*(Radius^2)*(3+Poisson's ratio))/8). To calculate Radial stress in a solid disc, you need Constant at boundary condition (C1), Density (ρ), Angular velocity (ω), Radius (r) and Poisson's ratio (𝛎). With our tool, you need to enter the respective value for Constant at boundary condition, Density, Angular velocity, Radius and Poisson's ratio 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 Constant at boundary condition, Density, Angular velocity, Radius and Poisson's ratio. We can use 10 other way(s) to calculate the same, which is/are as follows -