Circumferential stress given initial radial width of disc Calculator

✖Radial Stress induced by a bending moment in a member of constant cross section.ⓘ Radial Stress [σ_r]			+10% -10%
✖Increase in Radial Width is the increase in radial width due to strain.ⓘ Increase in Radial Width [du]			+10% -10%
✖Initial Radial Width is the radial width without any strain.ⓘ Initial Radial Width [dr]			+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%

✖Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.ⓘ Circumferential stress given initial radial width of disc [σ_c]

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Formula

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Circumferential stress given initial radial width of disc

Formula

`"σ"_{"c"} = ("σ"_{"r"}-(("du"/"dr")*"E"))/("𝛎")`

Example

`"303.1111N/m²"=("100N/m²"-(("3.4mm"/"3mm")*"8N/m²"))/("0.3")`

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Circumferential stress given initial radial width of disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumferential Stress = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus Of Elasticity Of Disc))/(Poisson's Ratio)
σ_c = (σ_r-((du/dr)*E))/(𝛎)
This formula uses 6 Variables

Variables Used

Circumferential Stress - (Measured in Pascal) - Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.
Radial Stress - (Measured in Pascal) - Radial Stress induced by a bending moment in a member of constant cross section.
Increase in Radial Width - (Measured in Meter) - Increase in Radial Width is the increase in radial width due to strain.
Initial Radial Width - (Measured in Meter) - Initial Radial Width is the radial width without any strain.
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.

STEP 1: Convert Input(s) to Base Unit

Radial Stress: 100 Newton per Square Meter --> 100 Pascal (Check conversion here)
Increase in Radial Width: 3.4 Millimeter --> 0.0034 Meter (Check conversion here)
Initial Radial Width: 3 Millimeter --> 0.003 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_c = (σ_r-((du/dr)*E))/(𝛎) --> (100-((0.0034/0.003)*8))/(0.3)

Evaluating ... ...

σ_c = 303.111111111111

STEP 3: Convert Result to Output's Unit

303.111111111111 Pascal -->303.111111111111 Newton per Square Meter (Check conversion here)

FINAL ANSWER

303.111111111111 ≈ 303.1111 Newton per Square Meter <-- Circumferential Stress

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Rotating Disc And Cylinder » Expression for Stresses in Rotating Thin Disc » Circumferential Stress And Strain » Circumferential stress given initial radial width of disc

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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 initial radial width of disc Formula

Circumferential Stress = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus Of Elasticity Of Disc))/(Poisson's Ratio)
σ_c = (σ_r-((du/dr)*E))/(𝛎)

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 initial radial width of disc?

Circumferential stress given initial radial width of disc calculator uses Circumferential Stress = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus Of Elasticity Of Disc))/(Poisson's Ratio) to calculate the Circumferential Stress, The Circumferential stress given initial radial width 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 Stress is denoted by σ_c symbol.

How to calculate Circumferential stress given initial radial width of disc using this online calculator? To use this online calculator for Circumferential stress given initial radial width of disc, enter Radial Stress (σ_r), Increase in Radial Width (du), Initial Radial Width (dr), Modulus Of Elasticity Of Disc (E) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Circumferential stress given initial radial width of disc calculation can be explained with given input values -> 303.1111 = (100-((0.0034/0.003)*8))/(0.3).

FAQ

What is Circumferential stress given initial radial width of disc?

The Circumferential stress given initial radial width 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 σ_c = (σ_r-((du/dr)*E))/(𝛎) or Circumferential Stress = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus Of Elasticity Of Disc))/(Poisson's Ratio). Radial Stress induced by a bending moment in a member of constant cross section, Increase in Radial Width is the increase in radial width due to strain, Initial Radial Width is the radial width without any strain, 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.

How to calculate Circumferential stress given initial radial width of disc?

The Circumferential stress given initial radial width 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 Stress = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus Of Elasticity Of Disc))/(Poisson's Ratio). To calculate Circumferential stress given initial radial width of disc, you need Radial Stress (σ_r), Increase in Radial Width (du), Initial Radial Width (dr), Modulus Of Elasticity Of Disc (E) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Radial Stress, Increase in Radial Width, Initial Radial Width, Modulus Of Elasticity Of Disc & 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 Circumferential Stress?

In this formula, Circumferential Stress uses Radial Stress, Increase in Radial Width, Initial Radial Width, Modulus Of Elasticity Of Disc & Poisson's Ratio. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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