Circumferential strain on disc given stresses Calculator

✖Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.ⓘ Circumferential Stress [σ_c]			+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%
✖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%

✖Circumferential strain represents the change in length.ⓘ Circumferential strain on disc given stresses [e₁]

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Formula

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Circumferential strain on disc given stresses

Formula

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

Example

`"6.25"=("80N/m²"-("0.3"*"100N/m²"))/"8N/m²"`

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Circumferential strain on disc given stresses Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Circumferential strain - Circumferential strain represents the change in length.
Circumferential Stress - (Measured in Pascal) - Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Circumferential Stress: 80 Newton per Square Meter --> 80 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
Radial Stress: 100 Newton per Square Meter --> 100 Pascal (Check conversion here)
Modulus Of Elasticity Of Disc: 8 Newton per Square Meter --> 8 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e₁ = (σ_c-(𝛎*σ_r))/E --> (80-(0.3*100))/8

Evaluating ... ...

e₁ = 6.25

STEP 3: Convert Result to Output's Unit

6.25 --> No Conversion Required

FINAL ANSWER

6.25 <-- Circumferential strain

(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 strain on disc given stresses

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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 strain on disc given stresses Formula

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

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 Circumferential strain on disc given stresses?

Circumferential strain on disc given stresses calculator uses Circumferential strain = (Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus Of Elasticity Of Disc to calculate the Circumferential strain, The Circumferential strain on disc given stresses formula represents the change in length or circumference of the disc. Circumferential strain is denoted by e₁ symbol.

How to calculate Circumferential strain on disc given stresses using this online calculator? To use this online calculator for Circumferential strain on disc given stresses, enter Circumferential Stress (σ_c), Poisson's Ratio (𝛎), Radial Stress (σ_r) & Modulus Of Elasticity Of Disc (E) and hit the calculate button. Here is how the Circumferential strain on disc given stresses calculation can be explained with given input values -> 6.25 = (80-(0.3*100))/8.

FAQ

What is Circumferential strain on disc given stresses?

The Circumferential strain on disc given stresses formula represents the change in length or circumference of the disc and is represented as e₁ = (σ_c-(𝛎*σ_r))/E or Circumferential strain = (Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus Of Elasticity Of Disc. Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius, 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 & Modulus Of Elasticity Of Disc is a quantity that measures disc's resistance to being deformed elastically when a stress is applied to it.

How to calculate Circumferential strain on disc given stresses?

The Circumferential strain on disc given stresses formula represents the change in length or circumference of the disc is calculated using Circumferential strain = (Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus Of Elasticity Of Disc. To calculate Circumferential strain on disc given stresses, you need Circumferential Stress (σ_c), Poisson's Ratio (𝛎), Radial Stress (σ_r) & Modulus Of Elasticity Of Disc (E). With our tool, you need to enter the respective value for Circumferential Stress, Poisson's Ratio, Radial Stress & Modulus Of Elasticity Of Disc 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 Circumferential Stress, Poisson's Ratio, Radial Stress & Modulus Of Elasticity Of Disc. 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 = ((Increase in radius/Disc Radius)*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Radial Stress)

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