Circumferential stress given radius of disc Calculator

✖Increase in radius is the increase in inner radius of outer cylinder of compound cylinder.ⓘ Increase in radius [R_i]			+10% -10%
✖Disc Radius is a radial line from the focus to any point of a curve.ⓘ Disc Radius [r_disc]			+10% -10%
✖Modulus Of Elasticity Of Disc is a quantity that measures disc's resistance to being deformed elastically when a stress is applied to it.ⓘ Modulus Of Elasticity Of Disc [E]			+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%
✖Radial Stress induced by a bending moment in a member of constant cross section.ⓘ Radial Stress [σ_r]			+10% -10%

✖Circumferential strain represents the change in length.ⓘ Circumferential stress given radius of disc [e₁]

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Formula

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Circumferential stress given radius of disc

Formula

`"e"_{"1"} = (("R"_{"i"}/"r"_{"disc"})*"E")+("𝛎"*"σ"_{"r"})`

Example

`"30.052"=(("6.5mm"/"1000mm")*"8N/m²")+("0.3"*"100N/m²")`

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Circumferential stress given radius of disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumferential strain = ((Increase in radius/Disc Radius)*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Radial Stress)
e₁ = ((R_i/r_disc)*E)+(𝛎*σ_r)
This formula uses 6 Variables

Variables Used

Circumferential strain - Circumferential strain represents the change in length.
Increase in radius - (Measured in Meter) - Increase in radius is the increase in inner radius of outer cylinder of compound cylinder.
Disc Radius - (Measured in Meter) - Disc Radius is a radial line from the focus to any point of a curve.
Modulus Of Elasticity Of Disc - (Measured in Pascal) - Modulus Of Elasticity Of Disc is a quantity that measures disc's resistance to being deformed elastically when a stress is applied to it.
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.
Radial Stress - (Measured in Pascal) - Radial Stress induced by a bending moment in a member of constant cross section.

STEP 1: Convert Input(s) to Base Unit

Increase in radius: 6.5 Millimeter --> 0.0065 Meter (Check conversion here)
Disc Radius: 1000 Millimeter --> 1 Meter (Check conversion here)
Modulus Of Elasticity Of Disc: 8 Newton per Square Meter --> 8 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
Radial Stress: 100 Newton per Square Meter --> 100 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e₁ = ((R_i/r_disc)*E)+(𝛎*σ_r) --> ((0.0065/1)*8)+(0.3*100)

Evaluating ... ...

e₁ = 30.052

STEP 3: Convert Result to Output's Unit

30.052 --> No Conversion Required

FINAL ANSWER

30.052 <-- Circumferential strain

(Calculation completed in 00.004 seconds)

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< 7 Circumferential Stress And Strain Calculators

Circumferential stress given initial radial width of disc

Go Circumferential Stress = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus Of Elasticity Of Disc))/(Poisson's Ratio)

Circumferential stress given radius of disc

Go Circumferential strain = ((Increase in radius/Disc Radius)*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Radial Stress)

Circumferential stress given circumferential strain on disc

Go Circumferential Stress = (Circumferential strain*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Radial Stress)

Circumferential strain on disc given stresses

Go Circumferential strain = (Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus Of Elasticity Of Disc

Circumferential stress given radial strain on disc

Go Circumferential Stress = (Radial Stress-(Radial strain*Modulus Of Elasticity Of Disc))/(Poisson's Ratio)

Circumferential strain for rotating thin disc

Go Circumferential strain = (Final Circumference-Initial circumference)/Initial circumference

Circumferential strain for rotating thin disc given radius of disc

Go Circumferential strain = Increase in radius/Disc Radius

Circumferential stress given radius of disc Formula

Circumferential strain = ((Increase in radius/Disc Radius)*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Radial Stress)
e₁ = ((R_i/r_disc)*E)+(𝛎*σ_r)

What is compression stress force?

Compression stress force is the stress that squeezes something. It is the stress component perpendicular to a given surface, such as a fault plane, that results from forces applied perpendicular to the surface or from remote forces transmitted through the surrounding rock.

How to Calculate Circumferential stress given radius of disc?

Circumferential stress given radius of disc calculator uses Circumferential strain = ((Increase in radius/Disc Radius)*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Radial Stress) to calculate the Circumferential strain, The Circumferential stress given radius of disc formula is defined as the force that is responsible for the deformation of the material such that the volume of the material reduces. Circumferential strain is denoted by e₁ symbol.

How to calculate Circumferential stress given radius of disc using this online calculator? To use this online calculator for Circumferential stress given radius of disc, enter Increase in radius (R_i), Disc Radius (r_disc), Modulus Of Elasticity Of Disc (E), Poisson's Ratio (𝛎) & Radial Stress (σ_r) and hit the calculate button. Here is how the Circumferential stress given radius of disc calculation can be explained with given input values -> 30.052 = ((0.0065/1)*8)+(0.3*100).

FAQ

What is Circumferential stress given radius of disc?

The Circumferential stress given radius of disc formula is defined as the force that is responsible for the deformation of the material such that the volume of the material reduces and is represented as e₁ = ((R_i/r_disc)*E)+(𝛎*σ_r) or Circumferential strain = ((Increase in radius/Disc Radius)*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Radial Stress). Increase in radius is the increase in inner radius of outer cylinder of compound cylinder, Disc Radius is a radial line from the focus to any point of a curve, Modulus Of Elasticity Of Disc is a quantity that measures disc's resistance to being deformed elastically when a stress is applied to it, 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 & Radial Stress induced by a bending moment in a member of constant cross section.

How to calculate Circumferential stress given radius of disc?

The Circumferential stress given radius of disc formula is defined as the force that is responsible for the deformation of the material such that the volume of the material reduces is calculated using Circumferential strain = ((Increase in radius/Disc Radius)*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Radial Stress). To calculate Circumferential stress given radius of disc, you need Increase in radius (R_i), Disc Radius (r_disc), Modulus Of Elasticity Of Disc (E), Poisson's Ratio (𝛎) & Radial Stress (σ_r). With our tool, you need to enter the respective value for Increase in radius, Disc Radius, Modulus Of Elasticity Of Disc, Poisson's Ratio & Radial Stress 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 Circumferential strain?

In this formula, Circumferential strain uses Increase in radius, Disc Radius, Modulus Of Elasticity Of Disc, Poisson's Ratio & Radial Stress. We can use 3 other way(s) to calculate the same, which is/are as follows -

Circumferential strain = (Final Circumference-Initial circumference)/Initial circumference
Circumferential strain = Increase in radius/Disc Radius
Circumferential strain = (Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus Of Elasticity Of Disc

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