Circumferential stress given radial strain on disc Calculator

✖Radial Stress induced by a bending moment in a member of constant cross section.ⓘ Radial Stress [σ_r]			+10% -10%
✖Radial strain is the change in length per unit length in a direction radially outward from the charge.ⓘ Radial strain [e_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%
✖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 radial strain on disc [σ_c]

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Circumferential stress given radial strain on disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumferential Stress = (Radial Stress-(Radial strain*Modulus Of Elasticity Of Disc))/(Poisson's Ratio)
σ_c = (σ_r-(e_r*E))/(𝛎)
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.
Radial Stress - (Measured in Pascal) - Radial Stress induced by a bending moment in a member of constant cross section.
Radial strain - Radial strain is the change in length per unit length in a direction radially outward from the charge.
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)
Radial strain: 4 --> 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_c = (σ_r-(e_r*E))/(𝛎) --> (100-(4*8))/(0.3)

Evaluating ... ...

σ_c = 226.666666666667

STEP 3: Convert Result to Output's Unit

226.666666666667 Pascal -->226.666666666667 Newton per Square Meter (Check conversion here)

FINAL ANSWER

226.666666666667 ≈ 226.6667 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 » Mechanical » Circumferential Stress and Strain » Circumferential stress given radial strain on disc

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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 radial strain on disc Formula

LaTeX Go

Circumferential Stress = (Radial Stress-(Radial strain*Modulus Of Elasticity Of Disc))/(Poisson's Ratio)
σ_c = (σ_r-(e_r*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 Circumferential stress given radial strain on disc?

Circumferential stress given radial strain on disc calculator uses Circumferential Stress = (Radial Stress-(Radial strain*Modulus Of Elasticity Of Disc))/(Poisson's Ratio) to calculate the Circumferential Stress, The Circumferential stress given radial 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 radial strain on disc using this online calculator? To use this online calculator for Circumferential stress given radial strain on disc, enter Radial Stress (σ_r), Radial strain (e_r), Modulus Of Elasticity Of Disc (E) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Circumferential stress given radial strain on disc calculation can be explained with given input values -> 226.6667 = (100-(4*8))/(0.3).

FAQ

What is Circumferential stress given radial strain on disc?

The Circumferential stress given radial 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 = (σ_r-(e_r*E))/(𝛎) or Circumferential Stress = (Radial Stress-(Radial strain*Modulus Of Elasticity Of Disc))/(Poisson's Ratio). Radial Stress induced by a bending moment in a member of constant cross section, Radial strain is the change in length per unit length in a direction radially outward from the charge, 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 radial strain on disc?

The Circumferential stress given radial 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 = (Radial Stress-(Radial strain*Modulus Of Elasticity Of Disc))/(Poisson's Ratio). To calculate Circumferential stress given radial strain on disc, you need Radial Stress (σ_r), Radial strain (e_r), Modulus Of Elasticity Of Disc (E) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Radial Stress, Radial 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 Circumferential Stress?

In this formula, Circumferential Stress uses Radial Stress, Radial strain, 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-((Increase in Radial Width/Initial Radial Width)*Modulus Of Elasticity Of Disc))/(Poisson's Ratio)

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