Circumferential stress given circumferential strain on disc Calculator

✖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 [σ_r]			+10% -10%

✖Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.ⓘ Circumferential stress given circumferential strain on disc [σ_c]

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Circumferential stress given circumferential strain on disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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

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
Radial Stress: 100 Newton per Square Meter --> 100 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_c = (e₁*E)+(𝛎*σ_r) --> (2.5*8)+(0.3*100)

Evaluating ... ...

σ_c = 50

STEP 3: Convert Result to Output's Unit

50 Pascal -->50 Newton per Square Meter (Check conversion here)

FINAL ANSWER

50 Newton per Square Meter <-- Circumferential Stress

(Calculation completed in 00.004 seconds)

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< Circumferential Stress and Strain Calculators

Circumferential stress given circumferential strain on disc

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

Circumferential strain on disc given stresses

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

Circumferential strain for rotating thin disc

LaTeX Go Circumferential Strain = (Final Circumference-Initial circumference)/Initial circumference

Circumferential strain for rotating thin disc given radius of disc

LaTeX Go Circumferential Strain = Increase in radius/Disc Radius

Circumferential stress given circumferential strain on disc Formula

LaTeX Go

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

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 stress given circumferential strain on disc?

Circumferential stress given circumferential strain on disc calculator uses Circumferential Stress = (Circumferential Strain*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Radial Stress) to calculate the Circumferential Stress, The Circumferential stress given circumferential strain on disc formula is defined as the force over area exerted circumferentially perpendicular to the axis and the radius. Circumferential Stress is denoted by σ_c symbol.

How to calculate Circumferential stress given circumferential strain on disc using this online calculator? To use this online calculator for Circumferential stress given circumferential strain on disc, enter Circumferential Strain (e₁), 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 circumferential strain on disc calculation can be explained with given input values -> 50 = (2.5*8)+(0.3*100).

FAQ

What is Circumferential stress given circumferential strain on disc?

The Circumferential stress given circumferential strain on disc formula is defined as the force over area exerted circumferentially perpendicular to the axis and the radius and is represented as σ_c = (e₁*E)+(𝛎*σ_r) or Circumferential Stress = (Circumferential Strain*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Radial Stress). 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 & Radial Stress induced by a bending moment in a member of constant cross section.

How to calculate Circumferential stress given circumferential strain on disc?

The Circumferential stress given circumferential strain on disc formula is defined as the force over area exerted circumferentially perpendicular to the axis and the radius is calculated using Circumferential Stress = (Circumferential Strain*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Radial Stress). To calculate Circumferential stress given circumferential strain on disc, you need Circumferential Strain (e₁), 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 Circumferential Strain, 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 Stress?

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

Circumferential Stress = (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)

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