Constant at boundary condition given Radial stress in solid disc Calculator

✖Radial Stress induced by a bending moment in a member of constant cross section.ⓘ Radial Stress [σ_r]			+10% -10%
✖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.ⓘ Density Of Disc [ρ]			+10% -10%
✖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.ⓘ Angular Velocity [ω]			+10% -10%
✖Disc Radius is a radial line from the focus to any point of a curve.ⓘ Disc Radius [r_disc]			+10% -10%
✖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.ⓘ Poisson's Ratio [𝛎]			+10% -10%

✖Constant at boundary condition is value obtained for stress in solid disc.ⓘ Constant at boundary condition given Radial stress in solid disc [C₁]

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Constant at boundary condition given Radial stress in solid disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Constant at boundary condition = 2*(Radial Stress+((Density Of Disc*(Angular Velocity^2)*(Disc Radius^2)*(3+Poisson's Ratio))/8))
C₁ = 2*(σ_r+((ρ*(ω^2)*(r_disc^2)*(3+𝛎))/8))
This formula uses 6 Variables

Variables Used

Constant at boundary condition - Constant at boundary condition is value obtained for stress in solid disc.
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.
Disc Radius - (Measured in Meter) - Disc Radius is a radial line from the focus to any point of a curve.
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
Disc Radius: 1000 Millimeter --> 1 Meter (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C₁ = 2*(σ_r+((ρ*(ω^2)*(r_disc^2)*(3+𝛎))/8)) --> 2*(100+((2*(11.2^2)*(1^2)*(3+0.3))/8))

Evaluating ... ...

C₁ = 406.976

STEP 3: Convert Result to Output's Unit

406.976 --> No Conversion Required

FINAL ANSWER

406.976 <-- Constant at boundary condition

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Rotating Disc And Cylinder » Expression for Stresses in Solid Disc » Mechanical » Stresses in Disc » Constant at boundary condition given Radial stress in solid disc

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< Stresses in Disc Calculators

Circumferential stress in solid disc

LaTeX Go Circumferential Stress = (Constant at boundary condition/2)-((Density Of Disc*(Angular Velocity^2)*(Disc Radius^2)*((3*Poisson's Ratio)+1))/8)

Constant at boundary condition given Radial stress in solid disc

LaTeX Go Constant at boundary condition = 2*(Radial Stress+((Density Of Disc*(Angular Velocity^2)*(Disc Radius^2)*(3+Poisson's Ratio))/8))

Radial stress in solid disc

LaTeX Go Radial Stress = (Constant at boundary condition/2)-((Density Of Disc*(Angular Velocity^2)*(Disc Radius^2)*(3+Poisson's Ratio))/8)

Poisson's ratio given Radial stress in solid disc

LaTeX Go Poisson's Ratio = ((((Constant at Boundary/2)-Radial Stress)*8)/(Density Of Disc*(Angular Velocity^2)*(Disc Radius^2)))-3

Constant at boundary condition given Radial stress in solid disc Formula

LaTeX Go

Constant at boundary condition = 2*(Radial Stress+((Density Of Disc*(Angular Velocity^2)*(Disc Radius^2)*(3+Poisson's Ratio))/8))
C₁ = 2*(σ_r+((ρ*(ω^2)*(r_disc^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 Constant at boundary condition given Radial stress in solid disc?

Constant at boundary condition given Radial stress in solid disc calculator uses Constant at boundary condition = 2*(Radial Stress+((Density Of Disc*(Angular Velocity^2)*(Disc Radius^2)*(3+Poisson's Ratio))/8)) to calculate the Constant at boundary condition, The Constant at boundary condition given Radial stress in solid disc formula is defined as the value obtained at boundary condition for the equation of stresses in the solid disc. Constant at boundary condition is denoted by C₁ symbol.

How to calculate Constant at boundary condition given Radial stress in solid disc using this online calculator? To use this online calculator for Constant at boundary condition given Radial stress in solid disc, enter Radial Stress (σ_r), Density Of Disc (ρ), Angular Velocity (ω), Disc Radius (r_disc) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Constant at boundary condition given Radial stress in solid disc calculation can be explained with given input values -> 406.976 = 2*(100+((2*(11.2^2)*(1^2)*(3+0.3))/8)).

FAQ

What is Constant at boundary condition given Radial stress in solid disc?

The Constant at boundary condition given Radial stress in solid disc formula is defined as the value obtained at boundary condition for the equation of stresses in the solid disc and is represented as C₁ = 2*(σ_r+((ρ*(ω^2)*(r_disc^2)*(3+𝛎))/8)) or Constant at boundary condition = 2*(Radial Stress+((Density Of Disc*(Angular Velocity^2)*(Disc Radius^2)*(3+Poisson's Ratio))/8)). 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, Disc Radius is a radial line from the focus to any point of a curve & 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 Constant at boundary condition given Radial stress in solid disc?

The Constant at boundary condition given Radial stress in solid disc formula is defined as the value obtained at boundary condition for the equation of stresses in the solid disc is calculated using Constant at boundary condition = 2*(Radial Stress+((Density Of Disc*(Angular Velocity^2)*(Disc Radius^2)*(3+Poisson's Ratio))/8)). To calculate Constant at boundary condition given Radial stress in solid disc, you need Radial Stress (σ_r), Density Of Disc (ρ), Angular Velocity (ω), Disc Radius (r_disc) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Radial Stress, Density Of Disc, Angular Velocity, Disc Radius & 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 Constant at boundary condition?

In this formula, Constant at boundary condition uses Radial Stress, Density Of Disc, Angular Velocity, Disc Radius & Poisson's Ratio. We can use 2 other way(s) to calculate the same, which is/are as follows -

Constant at boundary condition = 2*(Circumferential Stress+((Density Of Disc*(Angular Velocity^2)*(Disc Radius^2)*((3*Poisson's Ratio)+1))/8))
Constant at boundary condition = (Density Of Disc*(Angular Velocity^2)*(Outer Radius Disc^2)*(3+Poisson's Ratio))/8

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