Radial stress for disc given circumferential strain on disc Calculator

✖Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.ⓘ Circumferential Stress [σ_c]			+10% -10%
✖Circumferential strain represents the change in length.ⓘ Circumferential strain [e₁]			+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 for disc given circumferential strain on disc [σ_r]

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Formula

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Radial stress for disc given circumferential strain on disc

Formula

`"σ"_{"r"} = ("σ"_{"c"}-("e"_{"1"}*"E"))/("𝛎")`

Example

`"200N/m²"=("80N/m²"-("2.5"*"8N/m²"))/("0.3")`

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Radial stress for disc given circumferential strain on disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Stress = (Circumferential Stress-(Circumferential strain*Modulus Of Elasticity Of Disc))/(Poisson's Ratio)
σ_r = (σ_c-(e₁*E))/(𝛎)
This formula uses 5 Variables

Variables Used

Radial Stress - (Measured in Pascal) - Radial Stress induced by a bending moment in a member of constant cross section.
Circumferential Stress - (Measured in Pascal) - Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.
Circumferential strain - Circumferential strain represents the change in length.
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

Circumferential Stress: 80 Newton per Square Meter --> 80 Pascal (Check conversion here)
Circumferential strain: 2.5 --> No Conversion Required
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_r = (σ_c-(e₁*E))/(𝛎) --> (80-(2.5*8))/(0.3)

Evaluating ... ...

σ_r = 200

STEP 3: Convert Result to Output's Unit

200 Pascal -->200 Newton per Square Meter (Check conversion here)

FINAL ANSWER

200 Newton per Square Meter <-- Radial 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 » Radial Stress And Strain » Radial stress for disc given circumferential strain on disc

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< 7 Radial Stress And Strain Calculators

Radial stress given initial radial width of disc

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

Radial stress given radius of disc

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

Radial stress for disc given circumferential strain on disc

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

Radial stress given radial strain on disc

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

Radial strain on disc given stresses

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

Radial strain for rotating thin disc

Go Radial strain = (Final Radial Width-Initial Radial Width)/Initial Radial Width

Radial strain for rotating thin disc given initial radial width of disc

Go Radial strain = Increase in Radial Width/Initial Radial Width

Radial stress for disc given circumferential strain on disc Formula

Radial Stress = (Circumferential Stress-(Circumferential strain*Modulus Of Elasticity Of Disc))/(Poisson's Ratio)
σ_r = (σ_c-(e₁*E))/(𝛎)

What is the allowable stress?

Allowable stress, or allowable strength, is the maximum stress that can be safely applied to a structure. Allowable stress is the stress at which a member is not expected to fail under the given loading conditions.

How to Calculate Radial stress for disc given circumferential strain on disc?

Radial stress for disc given circumferential strain on disc calculator uses Radial Stress = (Circumferential Stress-(Circumferential strain*Modulus Of Elasticity Of Disc))/(Poisson's Ratio) to calculate the Radial Stress, The Radial stress for disc given circumferential strain on disc formula is defined as normal stress in directions coplanar with but perpendicular to the symmetry axis. Radial Stress is denoted by σ_r symbol.

How to calculate Radial stress for disc given circumferential strain on disc using this online calculator? To use this online calculator for Radial stress for disc given circumferential strain on disc, enter Circumferential Stress (σ_c), Circumferential strain (e₁), Modulus Of Elasticity Of Disc (E) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Radial stress for disc given circumferential strain on disc calculation can be explained with given input values -> 200 = (80-(2.5*8))/(0.3).

FAQ

What is Radial stress for disc given circumferential strain on disc?

The Radial stress for disc given circumferential strain on disc formula is defined as normal stress in directions coplanar with but perpendicular to the symmetry axis and is represented as σ_r = (σ_c-(e₁*E))/(𝛎) or Radial Stress = (Circumferential Stress-(Circumferential strain*Modulus Of Elasticity Of Disc))/(Poisson's Ratio). Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius, Circumferential strain represents the change in length, 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 Radial stress for disc given circumferential strain on disc?

The Radial stress for disc given circumferential strain on disc formula is defined as normal stress in directions coplanar with but perpendicular to the symmetry axis is calculated using Radial Stress = (Circumferential Stress-(Circumferential strain*Modulus Of Elasticity Of Disc))/(Poisson's Ratio). To calculate Radial stress for disc given circumferential strain on disc, you need Circumferential Stress (σ_c), Circumferential strain (e₁), Modulus Of Elasticity Of Disc (E) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Circumferential Stress, Circumferential strain, 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 Radial Stress?

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

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

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