Outer radius of disc given Maximum radial stress in solid disc Solution

STEP 0: Pre-Calculation Summary
Formula Used
Outer Radius Disc = sqrt((8*Radial Stress)/(Density Of Disc*(Angular Velocity^2)*(3+Poisson's Ratio)))
router = sqrt((8*σr)/(ρ*(ω^2)*(3+𝛎)))
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Outer Radius Disc - (Measured in Meter) - Outer Radius Disc is the radius of the larger of the two concentric circles that form its boundary.
Radial Stress - (Measured in Pascal) - Radial Stress induced by a bending moment in a member of constant cross section.
Density Of Disc - (Measured in Kilogram per Cubic Meter) - 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.
Angular Velocity - (Measured in Radian per Second) - 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 0.1 and 0.5.
STEP 1: Convert Input(s) to Base Unit
Radial Stress: 100 Newton per Square Meter --> 100 Pascal (Check conversion here)
Density Of Disc: 2 Kilogram per Cubic Meter --> 2 Kilogram per Cubic Meter No Conversion Required
Angular Velocity: 11.2 Radian per Second --> 11.2 Radian per Second No Conversion Required
Poisson's Ratio: 0.3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
router = sqrt((8*σr)/(ρ*(ω^2)*(3+𝛎))) --> sqrt((8*100)/(2*(11.2^2)*(3+0.3)))
Evaluating ... ...
router = 0.983003361719965
STEP 3: Convert Result to Output's Unit
0.983003361719965 Meter -->983.003361719965 Millimeter (Check conversion here)
FINAL ANSWER
983.003361719965 983.0034 Millimeter <-- Outer Radius Disc
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verified by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has verified this Calculator and 1900+ more calculators!

9 Radius of Disc Calculators

Outer radius of disc given Circumferential stress
Go Outer Radius Disc = sqrt(((8*Circumferential Stress)/((Density Of Disc*(Angular Velocity^2))*((1+(3*Poisson's Ratio)*Radius of Element^2))))/(3+Poisson's Ratio))
Radius of disc given Circumferential stress in solid disc
Go Disc Radius = sqrt((((Constant at boundary condition/2)-Circumferential Stress)*8)/(Density Of Disc*(Angular Velocity^2)*((3*Poisson's Ratio)+1)))
Radius of Circular disc given Radial stress in solid disc
Go Disc Radius = sqrt((((Constant at boundary condition/2)-Radial Stress)*8)/(Density Of Disc*(Angular Velocity^2)*(3+Poisson's Ratio)))
Disc outer radius given Radial stress in solid disc
Go Outer Radius Disc = sqrt(((8*Radial Stress)/(Density Of Disc*(Angular Velocity^2)*(3+Poisson's Ratio)))+(Radius of Element^2))
Outer radius of disc given Constant at boundary condition for circular disc
Go Outer Radius Disc = sqrt((8*Constant at boundary condition)/(Density Of Disc*(Angular Velocity^2)*(3+Poisson's Ratio)))
Outer Radius of disc given Circumferential stress at center of solid disc
Go Outer Radius Disc = sqrt((8*Circumferential Stress)/(Density Of Disc*(Angular Velocity^2)*(3+Poisson's Ratio)))
Outer radius of disc given max circumferential stress in solid disc
Go Outer Radius Disc = sqrt((8*Circumferential Stress)/(Density Of Disc*(Angular Velocity^2)*(3+Poisson's Ratio)))
Outer radius of disc given Radial stress at center of solid disc
Go Outer Radius Disc = sqrt((8*Radial Stress)/(Density Of Disc*(Angular Velocity^2)*(3+Poisson's Ratio)))
Outer radius of disc given Maximum radial stress in solid disc
Go Outer Radius Disc = sqrt((8*Radial Stress)/(Density Of Disc*(Angular Velocity^2)*(3+Poisson's Ratio)))

Outer radius of disc given Maximum radial stress in solid disc Formula

Outer Radius Disc = sqrt((8*Radial Stress)/(Density Of Disc*(Angular Velocity^2)*(3+Poisson's Ratio)))
router = sqrt((8*σr)/(ρ*(ω^2)*(3+𝛎)))

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 Outer radius of disc given Maximum radial stress in solid disc?

Outer radius of disc given Maximum radial stress in solid disc calculator uses Outer Radius Disc = sqrt((8*Radial Stress)/(Density Of Disc*(Angular Velocity^2)*(3+Poisson's Ratio))) to calculate the Outer Radius Disc, The Outer radius of disc given Maximum radial stress in solid disc formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface. Outer Radius Disc is denoted by router symbol.

How to calculate Outer radius of disc given Maximum radial stress in solid disc using this online calculator? To use this online calculator for Outer radius of disc given Maximum radial stress in solid disc, enter Radial Stress r), Density Of Disc (ρ), Angular Velocity (ω) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Outer radius of disc given Maximum radial stress in solid disc calculation can be explained with given input values -> 983003.4 = sqrt((8*100)/(2*(11.2^2)*(3+0.3))).

FAQ

What is Outer radius of disc given Maximum radial stress in solid disc?
The Outer radius of disc given Maximum radial stress in solid disc formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface and is represented as router = sqrt((8*σr)/(ρ*(ω^2)*(3+𝛎))) or Outer Radius Disc = sqrt((8*Radial Stress)/(Density Of Disc*(Angular Velocity^2)*(3+Poisson's Ratio))). Radial Stress induced by a bending moment in a member of constant cross section, 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, 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 0.1 and 0.5.
How to calculate Outer radius of disc given Maximum radial stress in solid disc?
The Outer radius of disc given Maximum radial stress in solid disc formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface is calculated using Outer Radius Disc = sqrt((8*Radial Stress)/(Density Of Disc*(Angular Velocity^2)*(3+Poisson's Ratio))). To calculate Outer radius of disc given Maximum radial stress in solid disc, you need Radial Stress r), Density Of Disc (ρ), Angular Velocity (ω) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Radial Stress, Density Of Disc, Angular Velocity & 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 Outer Radius Disc?
In this formula, Outer Radius Disc uses Radial Stress, Density Of Disc, Angular Velocity & Poisson's Ratio. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Outer Radius Disc = sqrt(((8*Radial Stress)/(Density Of Disc*(Angular Velocity^2)*(3+Poisson's Ratio)))+(Radius of Element^2))
  • Outer Radius Disc = sqrt(((8*Circumferential Stress)/((Density Of Disc*(Angular Velocity^2))*((1+(3*Poisson's Ratio)*Radius of Element^2))))/(3+Poisson's Ratio))
  • Outer Radius Disc = sqrt((8*Constant at boundary condition)/(Density Of Disc*(Angular Velocity^2)*(3+Poisson's Ratio)))
  • Outer Radius Disc = sqrt((8*Circumferential Stress)/(Density Of Disc*(Angular Velocity^2)*(3+Poisson's Ratio)))
  • Outer Radius Disc = sqrt((8*Radial Stress)/(Density Of Disc*(Angular Velocity^2)*(3+Poisson's Ratio)))
  • Outer Radius Disc = sqrt((8*Circumferential Stress)/(Density Of Disc*(Angular Velocity^2)*(3+Poisson's Ratio)))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!